mpdl-xml-content: texts/archimedesOldCVSRepository/archimedes/raw/newto_philo_01_la

annotate texts/archimedesOldCVSRepository/archimedes/raw/newto_philo_01_la_1713.raw @ 10:d7b79f6537bb

Version vom 2009-02-14

author	Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date	Thu, 02 May 2013 11:08:12 +0200
parents	22d6a63640c6
children

rev	line source
6 22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2 <C>PHILOSOPHIÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3 NATURALIS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4 PRINCIPIA
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5 MATHEMATICA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6 <C>AUCTORE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7 ISAACO NEWTONO,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8 EQUITE A RATO.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9 <C>EDITIO SECUNDA AUCTIOR ET EMENDATIOR.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11 <C>CANTABRIGIÆ, MDCCXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13 <C>ILLUSTRISSIMÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14 SOCIETATI REGALI,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15 A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16 SERENISSIMO REGE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17 CAROLO II
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18 AD PHILOSOPHIAM PROMOVENDAM
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19 FUNDATÆ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20 ET
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21 AUSPICIIS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22 AUGUSTISSIMÆ REGINÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	23 ANNÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	24 FLORENTI,</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	25 <C>TRACTATUM HUNC D.D.D.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	26 <p><I>JS. NEWTONUS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	27 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	28 <C>IN
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	29 VIRI PRÆSTANTISSIMI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	30 ISAACI NEWTONI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	31 OPUS HOCCE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	32 MATHEMATICO PHYSICUM</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	33 <C><I>Sæculi Genti$que no$træ Decus egregium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	34 <p>EN tibi norma Poli, & divæ libramina Molis,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	35 Computus en Jovis; & quas, dum primordia rerum.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	36 Conderet, omnipotens $ibi Leges ip$e Creator<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	37 Dixerit, atque operum quæ fundamenta locarit.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	38 Intima panduntur victi penetralia Cæli,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	39 Nec latet, extremos quæ Vis circumrotet Orbes.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	40 Sol $olio re$idens ad $e jubet omnia prono<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	41 Tendere de$cen$u, nec recto tramite currus<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	42 Sidereos patitur va$tum per inane moveri;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	43 Sed rapit immotis, $e centro, $ingula gyris.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	44 Hinc patet, horrificis qua $it via flexa Cometis:<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	45 Di$cimus hinc tandem, qua cau$a argentea Ph&oelig;be<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	46 Pa$$ibus haud æquis eat, & cur $ubdita nulli<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	47 Hactenus A$tronomo numerorum fræna recu$et:<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	48 Cur remeent Nodi, curque Auges progrediantur.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	49 Di$cimus, & quantis refluum vaga Cynthia Pontum<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	50 Viribus impellat; fe$$is dum fluctibus ulvam<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	51 De$erit, ac nautis $u$pectas nudat arenas;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	52 Alterni$ve ruens $pumantia littora pul$at.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	53 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	54 Quæ toties animos veterum tor$ere Sophorum,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	55 Quæque Scholas hodie rauco certamine vexant,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	56 Obvia con$picimus; nubem pellente Mathe$i:<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	57 Quæ $uperas penetrare domos, atque ardua Cæli,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	58 NEWTONI au$picils, jam dat contingere Templa.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	59 Surgite Mortales, terrenas mittite curas;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	60 Atque hinc cæligenæ vites cogno$cite Mentis,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	61 A pecudum vita longe longeque remotæ.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	62 Qui $criptis primus Tabulis compe$cere Cædes,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	63 Furta & Adulteria, & perjuræ crimina Fraudis;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	64 Quive vagis populis circumdare m&oelig;nibus Urbes<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	65 Auctor erat; Cereri$ve beavit munere gentes;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	66 Vel qui curarum lenimen pre$$it ab Uva;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	67 Vel qui Niliaca mon$travit arundine pictos<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	68 Con$ociare $onos, oculi$que exponere Voces;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	69 Humanam $ortem minus extulit; utpote pauca<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	70 In commune ferens mi$eræ $olatia vitæ.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	71 Jam vero Superis convivæ admittimur, alti<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	72 Jura poli tractare licet, jamque abdita diæ<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	73 Clau$tra patent Naturæ, & rerum immobilis ordo;<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	74 Et quæ præteritis latuere incognita $æclis.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	75 Talia mon$trantem ju$tis celebrate Camænis,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	76 Vos qui cæle$ti gaudetis nectare ve$ci,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	77 NEWTONUM clau$i re$erantem $crinia Veri,<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	78 NEWTONUM Mu$is carum, cui pectore puro<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	79 Ph&oelig;bus ade$t, totoque ince$$it Numine mentem:<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	80 Nec fas e$t propius Mortali attingere Divos.<lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	81 <I>EDM. HALLET.</I><lb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	82 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	83 <C>AUCTORIS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	84 PRÆFATIO
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	85 AD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	86 LECTOREM.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	87 <p><I>CUM Veteres</I> Mechanicam (<I>uti Auctor e$t</I> Pappus) <I>in rerum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	88 Naturalium inve$tigatione maximi fecerint; & Recentiores,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	89 mi$$is formis $ub$tautialibus & qualitatibus occultis, Phænomena
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	90 Naturæ ad leges Mathematicas revocare aggre$$i fint: Vi$um e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	91 in hoc Tractatu</I> Mathe$in <I>excolere, quatenus ea ad</I> Philo$ophiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	92 <I>$pectat.</I> Mechanicam <I>vero duplicem Veteres con$tituerunt</I>: Ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	93 tionalem <I>quæ per Demon$trationes accurate procedit, &</I> Practi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	94 cam. <I>Ad <*>acticam $pectant Artes omnes Manuales, a quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	95 utique</I> Mechanica <I>nomen mutuata e$t. Cum autem Artifices pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	96 rum accurate operari $oleant, fit ut</I> Mechanica <I>omnis a</I> Geome-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	97 tria <I>ita di$tinguatur, ut quicquid accuratum $it ad</I> Geometriam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	98 <I>referatur, quicquid minus accuratum ad</I> Mechanicam. <I>Attamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	99 errores non $unt Artis $ed Artificum. Qui minus accurate ope-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	100 ratur, imperfectior e$t Mechanicus, & $i quis accurati$$ime ope-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	101 rari po$$et, hic foret Mechanicus omnium perfecti$$imus. Nam &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	102 Linearum rectarum & Circulorum de$criptiones in quibus</I> Geo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	103 metria <I>fundatur, ad</I> Mechanicam <I>pertinent. Has lineas de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	104 bere</I> Geometria <I>non docet $ed po$tulat. Po$tulat enim ut Tyro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	105 ea$dem accurate de$cribere prius didicerit quam linen atting at</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	106 Geometriæ; <I>deia, quomodo per has operationes Problemata $ol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	107 uantur, docet. Rectas & Circulos de$cribere Problemata $unt,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	108 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	109 <I>$ed non Geometrica. Ex</I> Mechanica <I>po$lulatur horum $olutio, in</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	110 Geometria <I>docetur $olutorum u$us. Ac gloriatur</I> Geometria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	111 <I>quod tam paucis principiis aliunde petitis tam multa præ$tet. Fun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	112 datur igitur</I> Geometria <I>in praxi Mechanica, & nihil aliud e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	113 quam</I> Mechanicæ univer$alis <I>pars illa quæ artem men$urandi ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	114 curate proponit ac demon$trat. Cum autem artes Manuales in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	115 corporibus movendis præcipue ver$entur, fit ut</I> Geometria <I>ad mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	116 nitudinem,</I> Mechanica <I>ad motum vulgo referatur. Quo $en$u</I> Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	117 chanica rationalis <I>erit Scientia Motuum qui ex viribus quibu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	118 cunque re$ultant, & Virium quæ ad motus quo$cunque requirun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	119 tur, accurate propo$ita ac demon$trata. Pars hæc</I> Mechanicæ <I>a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	120 Veteribus in</I> Potentiis quinque <I>ad artes manuales $pectantibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	121 exculta fuit, qui Gravitatem (cum potentia manualis non $it) vix
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	122 aliter quam in ponderibus per potentias illas movendis con$iderarunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	123 Nos autem non Artibus $ed Philo$ophiæ con$ulentes, deque poten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	124 tiis non manualibus $ed naturalibus $cribentes, ea maxime tracta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	125 mus quæ ad Gravitatem, Levitatem, vim Ela$ticam, re$i$tentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	126 Fluidorum & eju$modi vires $eu attractivas $eu impul$ivas $pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	127 ctant: Et ea propter, hæc no$tra tanquam Philo$ophiæ principia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	128 Mathematica proponimus. Omnis enim Philo$ophiæ difficultas in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	129 eo ver$ari videtur, ut a Phænomenis motuum inve$tigemus vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	130 Naturæ, deinde ab his viribus demon$tremus phænomena <*>liquæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	131 Et huc $pectant Propo$itiones generales quas Libro primo & $ecundo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	132 pertractavimus. In Libro autem tertio Exemplum hujus rei propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	133 $uimus per explicationem Sy$tematis mundaui. Ibi enim, ex phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	134 nomenis cæleflibus, per Propo$itiones in Libris prioribus Mathe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	135 matice aemon$tratas, derivantur vires Gravitatis quibus corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	136 ad Solem & Planetas $ingulos tendunt. Deinde ex his viribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	137 per Propo$itiones etiam Mathematicas, deducuntur motus Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	138 rum, Cometarum, Lunæ & Maris. Utinam cætera Naturæ phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	139 nomena ex principiis Mechanicis eodem argumentandi genere deri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	140 vare liceret. Nam multa me movent ut nonnihil $u$picer e<*> om-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	141 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	142 <I>nia ex viribus quibu$dam pendere po$$e, quibus corporum particulæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	143 per cau$as nondum cognitas vel in $e mutuo impelluntur & $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	144 cundum figuras regulares cohærent, vel ab invicem fugantur &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	145 recedunt: quibus viribus ignotis, Philo$ophi hactenus Naturam fru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	146 $tra tentarunt. Spero autem quod vel huic Philo$ophandi modo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	147 vel veriori alicui, Principia hic po$ita lucem aliquam præbebunt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	148 <p><I>In his edendis, Vir acuti$$imus & in omni literarum genere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	149 eruditi$$imus</I> Edmundus Halleius <I>operam navavit, nec $olum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	150 Typothetarum Sphalmata correxit & Schemata incidi curavit, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	151 etiam Auctor fuit ut horum editionem aggrederer. Quippe cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	152 demon$tratam a me Figuram Orbium cæle$tium impetraverat, ro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	153 gare non de$titit ut eandem cum</I> Societate Regali <I>communicarem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	154 Quæ deinde hortatibus & benignis $uis au$piciis effecit ut de ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	155 dem in lucem emittenda cogitare inciperem. At po$tquam Mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	156 tuum Lunarium inæqualitates aggre$$us e$$em, deinde etiam ælia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	157 tentare cæpi$$em quæ ad leges & men$uras Gravitatis & aliarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	158 virium, & Figuras a corporibus $ecundum datas qua$cunque leges
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	159 attractis de$cribendas, ad motus corporum plurium inter $e, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	160 motus corporum in Mediis re$i$tentibus, ad vires, den$itates &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	161 motus Mediorum, ad Orbes Cometarum & $imilia $pectant, edi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	162 tionem in aliud tempus differendam e$$e putavi, ut cætera rima-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	163 rer & una in publicum darem. Quæ ad motus Lunares $pectant,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	164 (imperfecta cum $int,) in Corollariis Propo$itionis</I> LXVI. <I>$imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	165 complexus $um, ne $ingula methodo prolixiore quam pro rei digni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	166 tate proponere, & $igillatim demon$trare tenerer, & $eriem reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	167 quarum Propo$itionum interrumpere. Nonnulla $ero inventa lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	168 cis minus idoneis in$erere malui, quam numerum Propo$itionum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	169 & citationes mutare. Ut omnia candide legantur, & defectus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	170 in materia tam difficili non tam reprehendantur, quam novis Le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	171 ctorum conatibus inve$tigentur, & benigne $uppleantur, enixe rogo.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	172 <p>Dabam <I>Cantabrigiæ,</I> e Collegio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	173 <I>S. Trinitatis,</I> Maii 8. 1686.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	174 <p><I>IS. NEWTON.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	175 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	176 <p><I>IN hac Secunda Principiorum Editione, multa $par$im emen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	177 dantur & nonnulla adjiciuntur. In Libri primi Sectione</I> II,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	178 <I>Inventio virium quibus corpora in Orbibus datis revolvi po$$int,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	179 facilior redditur & amplior. In Libri $ecundi Sectione</I> VII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	180 <I>Theoria re$i$tentiæ Fluidorum accuratius inve$tigatur & novis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	181 Experimentis confirmatur. In Libro tertio Theoria Lunæ & Præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	182 ce$$io Æquinoctiorum ex Principiis $uis plenius deducuntur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	183 Theoria Cometarum pluribus & accuratius computatis Orbium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	184 exemplis confirmatur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	185 <p>Dabam <I>Londini,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	186 Mar. 28. 1713.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	187 <p><I>IS. NEWTON.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	188 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	189 <C>EDITORIS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	190 PRÆFATIO.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	191 <p>NEWTONIANÆ Philo$ophiæ novam tibi, Lector benevole,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	192 diuque de$ideratam Editionem, plurimum nunc emenda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	193 tam atque auctiorem exhibemus. Quæ poti$$imum conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	194 neantur in hoc Opere celeberrimo, intelligere potes ex Indicibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	195 adjectis: quæ vel addantur vel immutentur, ip$a te fere docebit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	196 Auctoris Præfatio. Reliquum e$t, ut adjiciantur nonnulla de Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	197 thodo hujus Philo$ophiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	198 <p>Qui Phy$icam tractandam $u$ceperunt, ad tres fere cla$$es re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	199 vocari po$$unt. Extiterunt enim, qui $ingulis rerum $peciebus Quali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	200 tates $pecificas & occultas tribuerint; ex quibus deinde corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	201 $ingulorum operationes, ignota quadam ratione, pendere volue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	202 runt. In hoc po$ita e$t $umma doctrinæ Schola$ticæ, ab <I>Ari$totele</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	203 & Peripateticis derivatæ: Affirmant utique $ingulos Effectus ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	204 corporum $ingularibus Naturis oriri; at unde $int illæ Naturæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	205 non docent; nihil itaque docent. Cumque toti $int in rerum no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	206 minibus, non in ip$is rebus; Sermonem quendam Philo$ophicum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	207 cen$endi $unt adinveni$$e, Philo$ophiam tradidi$$e non $unt cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	208 $endi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	209 <p>Alii ergo melioris diligentiæ laudem con$equi $perarunt, rejecta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	210 Vocabulorum inutili farragine. Statuerunt itaque Materiam uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	211 ver$am homogeneam e$$e, omnem vero Formarum varietatem, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	212 in corporibus cernitur, ex particularum componentium $implici$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	213 mis quibu$dam & intellectu facillimis affectionibus oriri. Et recte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	214 quidem progre$$io in$tituitur a $implicioribus ad magis compo$ita,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	215 $i particularum primariis illis affectionibus non alios tribuunt mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	216 dos, quam quos ip$a tribuit Natura. Verum ubi licentiam $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	217 a$$umunt, ponendi qua$cunque libet ignotas partium figuras &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	218 magnitudines, incerto$que $itus & motus; quin & fingendi Fluida
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	219 quædam occulta, quæ corporum poros liberrime permeent, omni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	220 potente prædita $ubtilitate, motibu$que occultis agitata; jam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	221 $omnia delabuntur, neglecta rerum con$titutione vera: quæ fane
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	222 fru$tra petenda e$t ex fallacibus conjecturis, cum vix etiam per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	223 certi$$imas Ob$ervationes inve$tigari po$$it. Qui $peculationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	224 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	225 $uarum fundamentum de$umunt ab Hypothe$ibus, etiam$i deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	226 $ecundum leges Mechanicas accurati$$ime procedant; Fabulam qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	227 dem elegantem forte & venu$tam, Fabulam tamen concinnare di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	228 cendi $unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	229 <p>Relinquitur adeo tertium genus, qui Philo$ophiam $cilicet Ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	230 perimentalem profitentur. Hi quidem ex $implici$$imis quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	231 po$$unt principiis rerum omnium cau$as derivandas e$$e volunt:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	232 nihil autem Principii loco a$$umunt, quod nondum ex Phænome-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	233 nis comprobatum fuerit. Hypothe$es non commini$cuntur, neque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	234 in Phy$icam recipiunt, ni$i ut Quæ$tiones de quarum veritare di$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	235 putetur. Duplici itaque Methodo incedunt, Analytica & Syn-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	236 thetica. Naturæ vires lege$que virium $impliciores ex $electis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	237 quibu$dam Phænomenis per Analy$in deducunt, ex quibus deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	238 per Synthe$in reliquorum con$titutionem tradunt. Hæc illa e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	239 Philo$ophandi ratio longe optima, quam præ ceteris merito am-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	240 plectendam cen$uit Celeberrimus Auctor no$ter. Hanc $olam uti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	241 que dignam judicavit, in qua excolenda atque adornanda operam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	242 $uam collocaret. Hujus igitur illu$tri$$imum dedit Exemplum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	243 Mundani nempe Sy$tematis explicationem e Theoria Gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	244 felici$$ime deductam. Gravitatis virtutem univer$is corporibus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	245 e$$e, $u$picati $unt vel finxerunt alii: primus Ille & folus ex Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	246 parentiis demon$trare potuit, & $peculationibus egregiis firmi$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	247 mum ponere fundamentum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	248 <p>Scio equidem nonnullos magni etiam nominis Viros, præjudiciis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	249 quibu$dam plus æquo occupatos, huic novo Principio ægre a$$en-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	250 tiri potui$$e, & certis incerta identidem prætuli$$e. Horum famam vel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	251 licare non e$t animus: Tibi potius, Benevole Lector, illa paucis ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	252 ponere lubet, ex quibus Tute ip$e judicium non iniquum feras.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	253 <p>Igitur ut Argumenti $umatur exordium a $implici$$imis & pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	254 ximis; de$piciamus pauli$per qualis $it in Terre$tribus natura Gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	255 vitatis, ut deinde tutius progrediamur ubi ad corpora Cæle$tia, lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	256 gi$$ime a $edibus no$tris remota, perventum fuerit. Convenit jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	257 inter omnes Philo$ophos, corpora univer$a circumterre$tria gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	258 vitare in Terram. Nulla dari corpora vere levia, jamdudum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	259 confirmavit Experientia multiplex. Quæ dicitur Levitas relativa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	260 non e$t vera Levitas, $ed apparens $olummodo; & oritur a præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	261 pollente Gravitate corporum contiguorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	262 <p>Porro, ut corpora univer$a gravitant in Terram, ita Terra vici$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	263 $im in corpora æqualiter gravitat; Gravitatis enim actionem e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	264 mutuam & utrinque æqualem, $ic o$tenditur. Di$tinguatur Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	265 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	266 totius moles in binas qua$cunque partes, vel æquales vel utcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	267 inæquales: jam $i pondera partium non e$$ent in $e mutuo æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	268 lia; cederet pondus minus majori, & partes conjunctæ pergerent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	269 recta moveri ad in$initum, ver$us plagam in quam tendit pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	270 majus: omnino contra Experientiam. Itaque dicendum erit, pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	271 dera partium in æquilibrio e$$e con$tituta: hoc e$t, Gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	272 actionem e$$e mutuam & utrinque æqualem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	273 <p>Pondera corporum, æqualiter a centro Terræ di$tantium, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	274 quantitates materiæ in corporibus. Hoc utique colligitur ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	275 æquali acceleratione corporum omnium, e quiete per ponderum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	276 vires cadentium: nam vires quibus inæqualia corpora æqualiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	277 accelerantur, debent e$$e proportionales quantitatibus materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	278 movendæ. Jam vero corpora univer$a cadentia æqualiter acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	279 lerari, ex eo patet, quod in Vacuo <I>Boyliano</I> temporibus æqualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	280 æqualia $patia cadendo de$cribunt, $ublata $cilicet Aeris re$i$tentia:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	281 accuratius autem comprobatur per Experimenta Pendulorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	282 <p>Vires attractivæ corporum, in æqualibus di$tantiis, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	283 quantitates materiæ in corporibus. Nam cum corpora in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	284 ram & Terra vici$$im in corpora momentis æqualibus gravitent;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	285 Terræ pondus in unumquodque corpus, $eu vis qua corpus Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	286 ram attrahit, æquabitur ponderi corporis eju$dem in Terram.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	287 Hoc autem pondus erat ut quantitas materiæ in corpore: itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	288 vis qua corpus unumquodque Terram attrahit, $ive corporis vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	289 ab$oluta, erit ut eadem quantitas materiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	290 <p>Oritur ergo & componitur vis attractiva corporum integrorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	291 ex viribus attractivis partium: $iquidem aucta vel diminuta mole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	292 materiæ, o$ten$um e$t, proportionaliter augeri vel diminui ejus vir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	293 tutem. Actio itaque Telluris ex conjunctis partium Actionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	294 conflari cen$enda erit; atque adeo corpora omnia Terre$tria $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	295 mutuo trahere oportet viribus ab$olutis, quæ $int in ratione ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	296 teriæ trahentis. Hæc e$t natura Gravitatis apud Terram: videa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	297 mus jam qualis $it in Cælis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	298 <p>Corpus omne per$everare in $tatu $uo vel quie$cendi vel movendi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	299 uniformiter in directum, ni$i quatenus a viribus impre$$is cogitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	300 $tatum illum mutare; Naturæ lex e$t ab omnibus recepta Philo$o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	301 phis. Inde vero $equitur, corpora quæ in Curvis moventur, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	302 adeo de lineis rectis Orbitas $uas tangentibus jugiter abeunt, Vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	303 aliqua perpetuo agente retineri in itinere curvilineo. Planetis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	304 igitur in Orbibus curvis revolventibus nece$$ario aderit Vis aliqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	305 per cujus actiones repetitas inde$inenter a Tangentibus deflectantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	306 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	307 <p>Jam illud concedi æquum e$t, quod Mathematicis rationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	308 colligitur & certi$$ime demon$tratur; Corpora nempe omnia, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	309 moventur in linea aliqua curva in plano de$cripta, quæque radio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	310 ducto ad punctum vel quie$cens vel utcunque motum de$cribunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	311 areas circa punctum illud temporibus proportionales, urgeri a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	312 Viribus quæ ad idem punctum tendunt. Cum igitur in confe$$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	313 $it apud A$tronomos, Planetas primarios circum Solem, $ecunda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	314 rios vero circum $uos primarios, areas de$cribere temporibus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	315 portionales; con$equens e$t ut Vis illa, qua perpetuo detorquen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	316 tur a Tangentibus rectilineis, & in Orbitis curvilineis revolvi ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	317 guntur, ver$us corpora dirigatur quæ $ita $unt in Orbitarum cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	318 tris. Hæc itaque Vis non inepte vocari pote$t, re$pectu quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	319 corporis revolventis, Centripeta; re$pectu autem corporis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	320 tralis, Attractiva; a quacunque demum cau$a oriri fingatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	321 <p>Quin & hæc quoque concedenda $unt, & Mathematice demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	322 $trantur: Si corpora plura motu æquabili revolvantur in Circulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	323 concentricis, & quadrata temporum periodicorum $int ut cubi di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	324 $tantiarum a centro communi; Vires centripetas revolventium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	325 fore reciproce ut quadrata di$tantiarum. Vel, $i corpora revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	326 vantur in Orbitis quæ $unt Circulis finitimæ, & quie$cant Orbita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	327 rum Ap$ides; Vires centripetas revolventium fore reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	328 quadrata di$tantiarum. Obtinere ca$um alterutrum in Planetis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	329 univer$is con$entiunt A$tronomi. Itaque Vires centripetæ Plane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	330 tarum omnium $unt reciproce ut quadrata di$tantiarum ab Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	331 bium centris. Si quis objiciat Planetarum, & Lunæ præ$ertim,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	332 Ap$ides non penitus quie$cere; $ed motu quodam lento ferri in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	333 con$equentia: re$ponderi pote$t, etiam$i concedamus hunc mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	334 tum tardi$$imum exinde profectum e$$e quod Vis centripetæ pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	335 portio aberret aliquantum a duplicata, aberrationem illam per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	336 computum Mathematicum inveniri po$$e & plane in$en$ibilem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	337 e$$e. Ip$a enim ratio Vis centripetæ Lunaris, quæ omnium ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	338 xime turbari debet, paululum quidem duplicatam $uperabit; ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	339 hanc vero $exaginta fere vicibus propius accedet quam ad tripli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	340 catam. Sed verior erit re$pon$io, $i dicamus hanc Ap$idum progre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	341 $ionem, non ex aberratione a duplicata proportione, $ed ex alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	342 pror$us diver$a cau$a oriri, quemadmodum egregie common$tratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	343 in hac Philo$ophia. Re$tat ergo ut Vires centripetæ, quibus Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	344 netæ primarii tendunt ver$us Solem & $ecundarii ver$us primarios
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	345 $uos, $int accurate ut quadrata di$tantisrum reciproce.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	346 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	347 <p>Ex iis quæ hactenus dicta $unt, con$tat Planetas in Orbitis $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	348 retineri per Vim aliquam in ip$os perpetuo agentem: con$tat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	349 Vim illam dirigi $emper ver$us Orbitarum centra: con$tat hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	350 efficaciam augeri in acce$$u ad centrum, diminui in rece$$n ab eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	351 dem: & augeri quidem in eadem proportione qua diminuitur qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	352 dratum di$tantiæ, diminui in eadem proportione qua di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	353 quadratum augetur. Videamus jam, comparatione in$tituta inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	354 Planetarum Vires centripetas & Vim Gravitatis, annon eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	355 forte $int generis. Eju$dem vero generis erunt, $i deprehendan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	356 tur hinc & inde leges eædem eædemque affectiones. Primo ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	357 que Lunæ, quæ nobis proxima e$t, Vim centripetam expendamus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	358 <p>Spatia rectilinea, quæ a corporibus e quiete demi$$is dato tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	359 pore $ub ip$o motus initio de$eribuntur, ubi a viribus quibu$cun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	360 que urgentur, proportionalia $unt ip$is viribus: Hoc utique con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	361 $equitur ex ratiociniis Mathematicis. Erit igitur Vis centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	362 Lunæ in Orbita $ua revolventis, ad Vim Gravitatis in $uperficie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	363 Terræ, ut $patium quod tempore quam minimo de$criberet Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	364 de$cendendo per Vim centripetam ver$us Terram, $i circulari om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	365 ni motu privari fingeretur, ad $patium quod eodem tempore quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	366 minimo de$cribit grave corpus in vicinia Terræ, per Vim gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	367 tis $uæ cadendo. Horum $patiorum prius æquale e$t arcus a Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	368 per idem tempus de$cripti $inui ver$o, quippe qui Lunæ tran$la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	369 tionem de Tangente, factam a Vi centripeta, metitur; atque adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	370 computari pote$t ex datis tum Lunæ tempore periodico tum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	371 $tantia ejus a centro Terræ. Spatium po$terius invenitur per Ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	372 perimenta Pendulorum, quemadmodum docuit <I>Hugenius.</I> Inito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	373 itaque calculo, $patium prius ad $patium pofterius, $eu vis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	374 tripeta Lunæ in Orbita $ua revolventis ad vim Gravitatis in $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	375 perficie Terræ, erit ut quadratum $emidiametri Terræ ad Orbitæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	376 $emidiametri quadratum. Eandem habet rationem, per ea quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	377 $uperius o$tenduntur, vis centripeta Lunæ in Orbita $ua revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	378 venris ad vim Lunæ centripetam prope Terræ $uperficiem. Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	379 itaque centripeta prope Terræ $uperficiem æqualis e$t vi Gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	380 tis. Non ergo diver$æ $unt vires, $ed una atque eadem: $i enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	381 diver$æ e$$ent, corpora viribus conjunctis duplo celerius in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	382 ram caderent quam ex vi $ola Gravitatis. Con$tat igitur Vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	383 illam centripetam, qua Luna perpetuo de Tangente vel trahitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	384 vel impellitur & in Orbita retinetur, ip$am e$fe vim Gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	385 terre$tris ad Lunam u$que pertingentem. Et rationi quidem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	386 $entaneum e$t ut ad ingentes diftantias illa $e$e Virtus extendat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	387 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	388 cum nullam ejus $en$ibilem imminutionem, vel in alti$$imis montium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	389 cacuminibus, ob$ervare licet. Gravitat itaque Luna in Terram:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	390 quin & actione mutua, Terra vici$$im in Lunam æqualiter gravitat:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	391 id quod abunde quidem confirmatur in hac Philo$ophia, ubi agi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	392 tur de Maris æ$tu & Æquinoctiorum præce$$ione, ab actione tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	393 Lunæ tum Solis in Terram oriundis. Hinc & illud tandem edo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	394 cemur, qua nimirum lege vis Gravitatis decre$cat in majoribus a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	395 Tellure di$tantiis. Nam cum Gravitas non diver$a $it a Vi cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	396 tripeta Lunari, hæc vero $it reciproce proportionalis quadrato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	397 di$tantiæ; diminuetur & Gravitas in eadem ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	398 <p>Progrediamur jam ad Planetas reliquos. Quoniam revolu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	399 tiones primariorum circa Solem & $ecundariorum circa Jovem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	400 Saturnum $unt Phænomena generis eju$dem ac revolutio Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	401 circa Terram, quoniam porro demon$tratum e$t vires centripetas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	402 primariorum dirigi ver$us centrum Solis, $ecundariorum ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	403 centra Jovis & Saturni, quemadmodum Lunæ vis centripeta ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	404 Terræ centrum dirigitur; adhæc, quoniam omnes illæ vires $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	405 reciproce ut quadrata di$tantiarum a centris, quemadmodum vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	406 Lunæ e$t ut quadratum di$tantiæ a Terra: concludendum erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	407 eandem e$$e naturam univer$is. Itaque ut Luna gravitat in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	408 ram, & Terra vici$$im in Lunam; $ic etiam gravitabunt omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	409 $ecundarii in primarios $uos, & primarii vici$$im in $ecundarios;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	410 $ic & omnes primarii in Solem, & Sol vici$$im in primarios.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	411 <p>Igitur Sol in Planetas univer$os gravitat & univer$i in Solem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	412 Nam $ecundarii dum primarios $uos comitantur, revolvuntur in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	413 terea circum Solem una cum primariis. Eodem itaque argumento,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	414 utriu$que generis Planetæ gravitant in Solem, & Sol in ip$os.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	415 Secundarios vero Planetas in Solem gravitare abunde in$uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	416 con$tat ex inæqualitatibus Lunaribus; quarum accurati$$imam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	417 Theoriam, admiranda $agacitate patefactam, in tertio hujus Operis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	418 libro expo$itam habemus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	419 <p>Solis virtutem attractivam quoquover$um propagari ad ingen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	420 tes u$que di$tantias, & $e$e diffundere ad $ingulas circumjecti $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	421 tii partes, aperti$$ime colligi pote$t ex motu Cometarum; qui ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	422 immen$is intervallis profecti feruntur in viciniam Solis, & non-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	423 nunquam adeo ad ip$um proxime accedunt ut Globum ejus, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	424 Periheliis $uis ver$antes, tantum non contingere videantur. Ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	425 rum Theoriam ab A$tronomis antehac fru$tra quæ$itam, no$tro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	426 tandem $æculo feliciter inventam & per Ob$ervationes certi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	427 $ime demon$tratam, Præ$tanti$$imo no$tro Auctori debemus. Patet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	428 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	429 igitur Cometas in Sectionibus Conicis umbilicos in centro Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	430 habentibus moveri, & radiis ad Solem ductis areas temporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	431 proportionales de$cribere. Ex hi$ce vero Phænomenis manife-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	432 $tum e$t & Mathematice comprobatur, vires illas, quibus Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	433 retinentur in orbitis $uis, re$picere Solem & e$$e reciproce ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	434 drata di$tantiarum ab ip$ius centro. Gravitant itaque Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	435 in Solem: atque adeo Solis vis attractiva non tantum ad corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	436 Planetarum in datis di$tantiis & in eodem fere plano collocata,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	437 $ed etiam ad Cometas in diver$i$$imis Cælorum regionibus & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	438 diver$i$$imis di$tantiis po$itos pertingit. Hæc igitur e$t natura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	439 corporum gravitantium, ut vires $uas edant ad omnes di$tantias in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	440 omnia corpora gravitantia. Inde vero $equitur, Planetas & Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	441 metas univer$os $e mutuo trahere, & in $e mutuo graves e$$e:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	442 quod etiam confirmatur ex perturbatione Jovis & Saturni, A$tro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	443 nomis non incognita, & ab actionibus horum Planetarum in $e in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	444 vicem oriunda; quin & ex motu illo lenti$$imo Ap$idum, qui $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	445 pra memoratus e$t, quique a cau$a con$imili profici$citur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	446 <p>Eo demum pervenimus ut dicendum $it, & Terram & Solem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	447 corpora omnia cæle$tia, quæ Solem comitantur, $e mutuo attrahere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	448 Singulorum ergo particulæ quæque minimæ vires $uas attractivas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	449 habebunt, pro quantitate materiæ pollentes; quemadmodum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	450 pra de Terre$tribus o$ten$um e$t. In diver$is autem di$tantiis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	451 erunt & harum vires in duplicata ratione di$tantiarum reciproce:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	452 nam ex particulis hac lege trahentibus componi debere Globos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	453 eadem lege trahentes, Mathematice demon$tratur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	454 <p>Conclu$iones præcedentes huic innituntur Axiomati, quod a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	455 nullis non recipitur Philo$ophis; Effectuum $cilicet eju$dem ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	456 neris, quorum nempe quæ cogno$cuntur proprietates eædem $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	457 ea$dem e$$e cau$as & ea$dem e$$e proprietates quæ nondum cog-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	458 no$cuntur. Quis enim dubitat, $i Gravitas $it cau$a de$cen$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	459 Lapidis in <I>Europa,</I> quin eadem $it cau$a de$cen$us in <I>America?</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	460 Si Gravitas mutua fuerit inter Lapidem & Terram in <I>Europa</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	461 quis negabit mutuam e$$e in <I>America?</I> Si vis attractiva Lapidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	462 & Terræ componatur, in <I>Europa,</I> ex viribus attractivis partium;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	463 quis negabit $imilem e$$e compo$itionem in <I>America?</I> Si attractio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	464 Terræ ad omnia corporum genera & ad omnes di$tantias propa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	465 getur in <I>Europa</I>; quidni pariter propagari dicamus in <I>America?</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	466 In hac Regula fundatur omnis Philo$ophia: quippe qua $ublata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	467 nihil affirmare po$$imus de Univer$is. Con$titutio rerum $ingula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	468 rum innote$cit per Ob$ervationes & Experimenta: inde vero non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	469 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	470 ni$i per hanc Regulam de rerum univer$arum natura judica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	471 mus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	472 <p>Jam cum Gravia $int omnia corpora, quæ apud Terram vel in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	473 Cælis reperiuntur, de quibus Experimenta vel Ob$ervationes in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	474 $tituere licet; omnino dicendum erit, Gravitatem corporibus uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	475 ver$is competere. Et quemadmodum nulla concipi debent cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	476 pora, quæ non $int Exten$a, Mobilia, & Impenetrabilia; ita nulla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	477 concipi debere, quæ non $int Gravia. Corporum Exten$io, Mobi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	478 litas, & Impenetrabilitas non ni$i per Experimenta innote$cunt:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	479 eodem plane modo Gravitas innote$cit. Corpora omnia de qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	480 bus Ob$ervationes habemus, Exten$a $unt & Mobilia & Impene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	481 trabilia: & inde concludimus corpora univer$a, etiam illa de qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	482 bus Ob$ervationes non habemus, Exten$a e$$e & Mobilia & Im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	483 penetrabilia. Ita corpora omnia $unt Gravia, de quibus Ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	484 vationes habemus: & inde concludimus corpora univer$a, etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	485 illa de quibus Ob$ervationes non habemus, Gravia e$$e. Si quis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	486 dicat corpora Stellarum inerrantium non e$$e Gravia, quandoqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	487 dem eorum Gravitas nondum e$t ob$ervata; eodem argumento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	488 dicere licebit neque Exten$a e$$e, nec Mobilia, nec Impenetrabilia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	489 cum hæ Fixarum affectiones nondum $int ob$ervatæ. Quid opus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	490 e$t verbis? Inter primarias qualitates corporum univer$orum vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	491 Gravitas habebit locum; vel Exten$io, Mobilitas, & Impenetra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	492 bilitas non habebunt. Et natura rerum vel recte explicabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	493 per corporum Gravitatem, vel non recte explicabitur per corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	494 rum Exten$ionem, Mobilitatem, & Impenetrabilitatem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	495 <p>Audio nonnullos hanc improbare conclu$ionem, & de occultis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	496 qualitatibus ne$cio quid mu$$itare. Gravitatem $cilicet Occultum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	497 e$$e quid, perpetuo argutari $olent; occultas vero cau$as pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	498 cul e$$e ablegandas a Philo$ophia. His autem facile re$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	499 detur; occultas e$$e cau$as, non illas quidem quarum exi$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	500 per Ob$ervationes clari$$ime demon$tratur, $ed has $olum quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	501 occulta e$t & ficta exi$tentia nondum vero comprobata. Gravitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	502 ergo non erit occulta cau$a motuum cæle$tium; $iquidem ex Phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	503 nomenis o$ten$um e$t, hanc virtutem revera exi$tere. Hi potius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	504 ad occultas confugiunt cau$as; qui ne$cio quos Vortices, materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	505 cuju$dam pror$us fictitiæ & $en$ibus omnino ignotæ, motibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	506 ii$dem regendis præficiunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	507 <p>Ideone autem Gravitas occulta cau$a dicetur, eoque nomine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	508 rejicietur e Philo$ophia, quod cau$a ip$ius Gravitatis occulta e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	509 & nondum inventa? Qui $ic $tatuunt, videant nequid $tatu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	510 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	511 ant ab$urdi, unde totius tandem Philo$ophiæ fundamenta convel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	512 lantur. Etenim cau$æ continuo nexu procedere $olent a compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	513 $itis ad $impliciora: ubi ad cau$am $implici$$imam perveneris, jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	514 non licebit ulterius progredi. Cau$æ igitur $implici$$imæ nulla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	515 dari pote$t mechanica explicatio: $i daretur enim, cau$a non-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	516 dum e$$et $implici$$ima. Has tu proinde cau$as $implici$$imas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	517 appellabis occultas, & exulare jubebis? $imul vero exulabunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	518 & ab his proxime pendentes & quæ ab illis porro pendent,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	519 u$que dum a cau$is omnibus vacua fuerit & probe purgata Phi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	520 lo$ophia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	521 <p>Sunt qui Gravitatem præter naturam e$$e dicunt, & Miraculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	522 perpetuum vocant. Itaque rejiciendam e$$e volunt, cum in Phy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	523 $ica præternaturales cau$æ locum non habeant. Huic ineptæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	524 pror$us objectioni diluendæ, quæ & ip$a Philo$ophiam $ubruit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	525 univer$am, vix operæ pretium e$t immorari. Vel enim Gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	526 tem corporibus omnibus inditam e$$e negabunt, quod tamen dici
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	527 non pote$t: vel eo nomine præter naturam e$$e affirmabunt, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	528 ex aliis corporum affectionibus atque adeo ex cau$is Mechanicis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	529 originem non habeat. Dantur certe primariæ corporum affecti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	530 ones; quæ, quoniam $unt primariæ, non pendent ab aliis. Vide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	531 rint igitur annon & hæ omnes $int pariter præter naturam, eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	532 que pariter rejiciendæ: viderint vero qualis $it deinde futura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	533 Philo$ophia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	534 <p>Nonnulli $unt quibus hæc tota Phy$ica cæle$tis vel ideo minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	535 placet, quod cum <I>Carte$ii</I> dogmatibus pugnare & vix conciliari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	536 po$$e videatur. His $ua licebit opinione frui; ex æquo autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	537 agant oportet: non ergo denegabunt aliis eandem libertatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	538 quam $ibi concedi po$tulant. NEWTONIANAM itaque Philo$ophi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	539 am, quæ nobis verior habetur, retinere & amplecti licebit, & cau$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	540 $equi per Phænomena comprobatas, potius quam fictas & nondum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	541 comprobatas. Ad veram Philo$ophiam pertinet, rerum naturas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	542 ex cau$is vere exi$tentibus derivare: eas vero leges quærere, qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	543 bus voluit Summus opifex hunc Mundi pulcherrimum ordinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	544 $tabilire; non eas quibus potuit, $i ita vi$um fui$$et. Rationi enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	545 con$onum e$t, ut a pluribus cau$is, ab invicem nonnihil diver$is,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	546 idem po$$it Effectus profici$ci: hæc autem vera erit cau$a, ex qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	547 vere atque actu profici$citur; reliquæ locum non habent in Philo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	548 $ophia vera. In Horologiis automatis idem Indicis horarii mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	549 tus vel ab appen$o Pondere vel ab intus conclu$o Elatere oriri po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	550 te$t. Quod $i oblatum Horologium revera $it in$tructum Pondere;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	551 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	552 ridebitur qui finget Elaterem, & ex Hypothe$i $ic præpropere con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	553 ficta motum Indicis explicare $u$cipiet: oportuit enim internam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	554 Machinæ fabricam penitius per$crutari, ut ita motus propo$iti prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	555 cipium verum exploratum habere po$$et. Idem vel non ab$imile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	556 feretur judicium de Philo$ophis illis, qui materia quadam $ubti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	557 li$$ima Cælos e$$e repletos, hanc autem in Vortices inde$inenter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	558 agi voluerunt. Nam $i Phænomenis vel accurati$$ime $atisfacere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	559 po$$ent ex Hypothe$ibus $uis; veram tamen Philo$ophiam tradi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	560 di$$e, & veras cau$as motuum cæle$tium inveni$$e nondum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	561 cendi $unt; ni$i vel has revera exi$tere, vel $altem alias non ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	562 i$tere demon$traverint. Igitur $i o$ten$um fuerit, univer$orum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	563 corporum Attractionem habere verum locum in rerum natura;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	564 quinetiam o$ten$um fuerit, qua ratione motus omnes cæle$tes ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	565 inde $olutionem recipiant; vana fuerit & merito deridenda objectio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	566 $i quis dixerit eo$dem motus per Vortices explicari debere, etiam$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	567 id fieri po$$e vel maxime conce$$erimus. Non autem concedimus:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	568 Nequeunt enim ullo pacto Phænomena per Vortices explicari;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	569 quod ab Auctore no$tro abunde quidem & clari$$imis rationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	570 evincitur; ut $omniis plus æquo indulgeant oporteat, qui inep-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	571 ti$$imo figmento re$arciendo, novi$que porro commentis ornando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	572 infelicem operam addicunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	573 <p>Si corpora Planetarum & Cometarum circa Solem deferantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	574 a Vorticibus; oportet corpora delata & Vorticum partes proxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	575 ambientes eadem velocitate eademque cur$us determinatione mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	576 veri, & eandem habere den$itatem vel eandem Vim inertiæ pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	577 mole materiæ. Con$tat vero Planetas & Cometas, dum ver$an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	578 tur in ii$dem regionibus Cælorum, velocitatibus variis variaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	579 cur$us determinatione moveri. Nece$$ario itaque $equitur, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	580 Fluidi cæle$tis partes illæ, quæ $unt ad ea$dem di$tantias a Sole,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	581 revolvantur eodem tempore in plagas diver$as cum diver$is ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	582 locitatibus: etenim alia opus erit directione & velocitate, ut tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	583 $ire po$$int Planetæ; alia, ut tran$ire po$$int Cometæ. Quod cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	584 explicari nequeat; vel fatendum erit, univer$a corpora cæle$tia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	585 non deferri a materia Vorticis; vel dicendum erit, eorundem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	586 tus repetendos e$le non ab uno eodemque Vortice, $ed a pluribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	587 qui ab invicem diver$i $int, idemque $patium Soli circumjectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	588 pervadant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	589 <p>Si plures Vortices in eodem $patio contineri, & $e$e mutuo pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	590 netrare, motibu$que diver$is revolvi ponantur; quoniam hi mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	591 tus debent e$$e conformes delatorum corporum motibus, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	592 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	593 $unt $umme regulares, & peraguntur in Sectionibus Conicis, nunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	594 valde eccentricis, nunc ad Circulorum proxime formam acceden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	595 tibus; jure quærendum erit, qui fieri po$$it, ut iidem integri con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	596 $erventur, nec ab actionibus materiæ occur$antis per tot $æcula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	597 quicquam perturbentur. Sane $i motus hi fictitii $unt magis com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	598 po$iti & difficilius explicantur, quam veri illi motus Planetarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	599 & Cometarum; fru$tra mihi videntur in Philo$ophiam recipi:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	600 omnis enim Cau$a debet e$$e E$fectu $uo $implicior. Conce$$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	601 Fabularum licentia, affirmaverit aliquis Planetas omnes & Cometas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	602 circumcingi Atmo$phæris, adin$tar Telluris no$træ; quæ quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	603 Hypothe$is rationi magis con$entanea videbitur quam Hypothe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	604 $is Vorticum. Affirmaverit deinde has Atmo$phæras, ex natura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	605 $ua, circa Solem moveri & Sectiones Conicas de$cribere; qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	606 $ane motus multo facilius concipi pote$t, quam con$imilis motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	607 Vorticum $e invicem permeantium. Denique Planetas ip$os &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	608 Cometas circa Solem deferri ab Atmo$phæris $uis credendum e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	609 $tatuat, & ob repertas motuum cæle$tium cau$as triumphum agat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	610 Qui$quis autem hanc Fabulam rejiciendam e$$e putet, idem & alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	611 ram Fabulam rejiciet: nam ovum non e$t ovo $imilius, quam Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	612 pothe$is Atmo$phærarum Hypothe$i Vorticum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	613 <p>Docuit <I>Galilæus,</I> lapidis projecti & in Parabola moti deflexio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	614 nem a cur$u rectilineo oriri a Gravitate lapidis in Terram, ab oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	615 culta $cilicet qualitate. Fieri tamen pote$t ut alius aliquis, na$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	616 acutioris, Philo$ophus cau$am aliam commini$catur. Finget igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	617 tur ille materiam quandam $ubtilem, quæ nec vi$u, nec tactu,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	618 neque ullo $en$u percipitur, ver$ari in regionibus quæ proxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	619 contingunt Telluris $uperficiem. Hanc autem materiam, in di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	620 ver$as plagas, variis & plerumque contrariis motibus ferri, & li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	621 neas Parabolicas de$cribere contendet. Deinde vero lapidis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	622 flexionem pulchre $ic expediet, & vulgi plau$um merebitur. La-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	623 pis, inquiet, in Fluido illo $ubtili natat; & cur$ui ejus ob$equen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	624 do, non pote$t non eandem una $emitam de$cribere. Fluidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	625 vero movetur in lineis Parabolicis; ergo lapidem in Parabola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	626 moveri nece$$e e$t. Quis nunc non mirabitur acuti$$imum huju$ce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	627 Philo$ophi ingenium, ex cau$is Mechanicis, materia $cilicet &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	628 motu, phænomena Naturæ ad vulgi etiam captum præclare de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	629 ducentis? Quis vero non $ub$annabit bonum illum <I>Galilæum,</I> qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	630 magno molimine Mathematico qualitates occultas, e Philo$ophia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	631 feliciter exclu$as, denuo revocare $u$tinuerit? Sed pudet nugis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	632 diutius immorari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	633 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	634 <p>Summa rei huc tandem redìt: Cometarum ingens e$t numerus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	635 motus eorum $unt $umme regulares, & ea$dem leges cum Plane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	636 tarum motibus ob$ervant. Moventur in Orbibus Conicis, hi or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	637 bes $unt valde admodum eccentrici. Feruntur undique in omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	638 Cælorum partes, & Planetarum regiones liberrime pertran$eunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	639 & $æpe contra Signorum ordinem incedunt. Hæc Phænomena
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	640 certi$$ime confirmantur ex Ob$ervationibus A$tronomicis: & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	641 Vortices nequeunt explicari: Imo, ne quidem cum Vorticibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	642 Planetarum con$i$tere po$$unt. Cometarum motibus omnino lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	643 cus non erit; ni$i materia illa fictitia penitus e Cælis amo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	644 veatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	645 <p>Si enim Planetæ circum Solem a Vorticibus devehuntur; Vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	646 ticum partes, quæ proxime ambiunt unumquemque Planetam, eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	647 dem den$itatis erunt ac Planeta; uti $upra dictum e$t. Itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	648 materia illa omnis quæ contigua e$t Orbis magni perimetro, pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	649 rem habebit ac Tellus den$itatem: quæ vero jacet intra Orbem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	650 magnum atque Orbem Saturni, vel parem vel majorem habebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	651 Nam ut con$titutio Vorticis permanere po$$it, debent partes mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	652 nus den$æ centrum occupare, magis den$æ longius a centro abire.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	653 Cum enim Planetarum tempora periodica $int in ratione $e$qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	654 plicata di$tantiarum a Sole, oportet partium Vorticis periodos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	655 eandem rationem $ervare. Inde vero $equitur, vires centrifugas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	656 harum partium fore reciproce ut quadrata di$tantiarum. Quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	657 igitur majore intervallo di$tant a centro, nituntur ab eodem re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	658 cedere minore vi: unde $i minus den$æ fuerint, nece$$e e$t ut ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	659 dant vi majori, qua partes centro propiores a$cendere conantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	660 A$cendent ergo den$iores, de$cendent minus den$æ, & locorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	661 fiet invicem permutatio; donec ita fuerit di$po$ita atque ordinata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	662 materia fluida totius Vorticis, ut conquie$cere jam po$$it in æqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	663 librio con$tituta. Si bina Fluida, quorum diver$a e$t den$itas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	664 in eodem va$e continentur; utique futurum e$t ut Fluidum, cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	665 jus major e$t den$itas, majore vi Gravitatis infimum petat locum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	666 & ratione non ab$imili omnino dicendum e$t, den$iores Vorticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	667 partes majore vi centrifuga petere $upremum locum. Tota igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	668 tur illa & multo maxima pars Vorticis, quæ jacet extra Telluris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	669 orbem, den$itatem habebit atque adeo vim inertiæ pro mole ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	670 teriæ, quæ non minor erit quam den$itas & vis inertiæ Telluris:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	671 inde vero Cometis trajectis orietur ingens re$i$tentia, & valde ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	672 modum $en$ibilis; ne dicam, quæ motum eorundem penitus $i$tere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	673 atque ab$orbere po$$e merito videatur. Con$tat autem ex motu Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	674 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	675 metarum pror$us regulari, nullam ip$os re$i$tentiam pati quæ vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	676 minimum $entiri pote$t; atque adeo neutiquam in materiam ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	677 lam incur$are, cujus aliqua $it vis re$i$tendi, vel proinde cujus ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	678 qua $it den$itas $eu vis Inertiæ. Nam re$i$tentia Mediorum ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	679 tur vel ab inertia materiæ fluidæ, vel a defectu lubricitatis. Quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	680 oritur a defectu lubricitatis, admodum exigua e$t; & $ane vix
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	681 ob$ervari pote$t in Fluidis vulgo notis, ni$i valde tenacia fuerint
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	682 adin$tar Olei & Mellis. Re$i$tentia quæ $entitur in Aere, Aqua,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	683 Hydrargyro, & huju$modi Fluidis non tenacibus fere tota e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	684 prioris generis; & minui non pote$t per ulteriorem quemcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	685 gradum $ubtilitatis, manente Fluidi den$itate vel vi inertiæ, cui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	686 $emper proportionalis e$t hæc re$i$tentia; quemadmodum clari$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	687 $ime demon$tratum e$t ab Auctore no$tro in peregregia Re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	688 tiarum Theoria, quæ paulo nunc accuratius exponitur, hac $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	689 cunda vice, & per Experimenta corporum cadentium plenius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	690 confirmatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	691 <p>Corpora progrediendo motum $uum Fluido ambienti paulatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	692 communicant, & communicando amittunt, amittendo autem re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	693 tardantur. E$t itaque retardatio motui communicato proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	694 nalis; motus vero communicatus, ubi datur corporis progredientis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	695 velocitas, e$t ut Fluidi den$itas; ergo retardatio $eu re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	696 erit ut eadem Fluidi den$itas; neque ullo pacto tolli pote$t, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	697 a Fluido ad partes corporis po$ticas recurrente re$tituatur motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	698 ami$$us. Hoc autem dici non poterit, ni$i impre$$io Fluidi in cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	699 pus ad partes po$ticas æqualis fuerit impre$$ioni corporis in Flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	700 dum ad partes anticas, hoc e$t, ni$i velocitas relativa qua Flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	701 dum irruit in corpus a tergo, æqualis fuerit velocitati qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	702 pus irruit in Fluidum, id e$t, ni$i velocitas ab$oluta Fluidi re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	703 currentis duplo major fuerit quam velocitas ab$oluta Fluidi pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	704 pul$i; quod fieri nequit. Nullo igitur modo tolli pote$t Flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	705 dorum re$i$tentia, quæ oritur ab corundem den$itate & vi in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	706 ertiæ. Itaque concludendum erit; Fluidi cæle$tis nullam e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	707 vim inertiæ, cum nulla $it vis re$i$tendi: nullam e$$e vim qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	708 motus communicetur, cum nulla $it vis inertiæ: nullam e$$e vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	709 qua mutatio quælibet vel corporibus $ingulis vel pluribus indu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	710 catur, cum nulla $it vis qua motus communicetur: nullam e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	711 omnino efficaciam, cum nulla $it facultas mutationem quamlibet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	712 inducendi. Quidni ergo hanc Hypothe$in, quæ fundamento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	713 plane de$tituitur, quæque naturæ rerum explicandæ ne minimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	714 quidem in$ervit, inepti$$imam vocare liceat & Philo$opho pror-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	715 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	716 $us indignam. Qui Cælos materia fluida repletos e$$e volunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	717 hanc vero non inertem e$$e $tatuunt; Hi verbis tollunt Vacuum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	718 re ponunt. Nam cum huju$modi materia fluida ratione nulla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	719 $ecerni po$$it ab inani Spatio; di$putatio tota fit de rerum no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	720 minibus, non de naturis. Quod $i aliqui $int adeo u$que de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	721 diti Materiæ, ut Spatium a corporibus vacuui nullo pacto ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	722 mittendum credere velint; videamus quo tandem oporteat illos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	723 pervenire.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	724 <p>Vel enim dicent hanc, quam confingunt, Mundi per omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	725 pleni con$titutionem ex voluntate Dei profectam e$$e, propter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	726 eum finem, ut operationibus Naturæ $ub$idium præ$ens haberi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	727 po$$et ab Æthere $ubtili$$imo cuncta permeante & implente;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	728 quod tamen dici non pote$t, $iquidem jam o$ten$um e$t ex Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	729 metarum phænomenis, nullam e$$e hujus Ætheris efficaciam: vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	730 dicent ex voluntate Dei profectam e$$e, propter finem aliquem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	731 ignotum; quod neque dici debet, $iquidem diver$a Mundi con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	732 $titutio eodem argumento pariter $tabiliri po$$et: vel denique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	733 non dicent ex voluntate Dei profectam e$$e, $ed ex nece$$itate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	734 quadam Naturæ. Tandem igitur delabi oportet in $æces $ordi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	735 das Gregis impuri$$imi. Hi $unt qui $omniant Fato univer$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	736 regi, non Providentia; Materiam ex nece$$itate $ua $emper & ubi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	737 que extiti$$e, infinitam e$$e & æternam. Quibus po$itis, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	738 etiam undiquaque uniformis: nam varietas formarum cum nece$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	739 $itate omnino pugnat. Erit etiam immota: nam $i nece$$ario
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	740 moveatur in plagam aliquam determinatam, cum determinata ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	741 qua velocitate; pari nece$$itate movebitur in plagam diver$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	742 cum diver$a velocitate; in plagas autem diver$as, cum diver$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	743 velocitatibus, moveri non pote$t; oportet igitur immotam e$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	744 Neutiquam profecto potuit oriri Mundus, pulcherrima forma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	745 rum & motuum varietate di$tinctus, ni$i ex liberrima voluntate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	746 cuncta providentis & gubernantis Dei.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	747 <p>Ex hoc igitur fonte promanarunt illæ omnes quæ dicuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	748 Naturæ leges: in quibus multa $ane $apienti$$imi con$ilii, nulla
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	749 nece$$itatis apparent ve$tigia. Has proinde non ab incertis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	750 jecturis petere, $ed Ob$ervando atque Experiendo addi$cere de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	751 bemus. Qui veræ Phy$icæ principia Lege$que rerum, $ola men-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	752 tis vi & interno rationis lumine fretum, invenire $e po$$e confi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	753 dit; hunc oportet vel $tatuere Mundum ex nece$$itate fui$le, Le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	754 ge$que propo$itas ex eadem nece$$itate $equi; vel $i per volun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	755 tatem Dei con$titutus $it ordo Naturæ, $e tamen, homuncionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	756 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	757 mi$ellum, quid optimum factu $it per$pectum habere. Sana om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	758 nis & vera Philo$ophia fundatur in Phænomenis rerum: quæ $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	759 nos vel invitos & reluctantes ad huju$modi principia deducunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	760 in quibus clari$$ime cernuntur Con$ilium optimum & Dominium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	761 $ummum $apienti$$imi & potenti$$imi Entis; non erunt hæc ideo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	762 non admittenda principia, quod quibu$dam for$an hominibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	763 minus grata $int futura. His vel Miracula vel Qualitates occultæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	764 dicantur, quæ di$plicent: verum nomina malitio$e indita non $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	765 ip$is rebus vitio vertenda; ni$i illud fateri tandem velint, utique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	766 debere Philo$ophiam in Athei$mo fundari. Horum hominum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	767 gratia non erit labefactanda Philo$ophia, $iquidem rerum ordo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	768 non vult immutari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	769 <p>Obtinebit igitur apud probos & æquos Judices præ$tanti$$ima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	770 Philo$ophandi ratio, quæ fundatur in Experimentis & Ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	771 tionibus. Huic vero, dici vix poterit, quanta lux accedat, quanta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	772 dignitas, ab hoc Opere præclaro Illu$tri$$imi no$tri Auctoris; cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	773 eximiam ingenii felicitatem, difficillima quæque Problemata eno-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	774 dantis, & ad ea porro pertingentis ad quæ nec $pes erat humanam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	775 mentem a$$urgere potui$$e, merito admirantur & $u$piciunt qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	776 cunque paulo profundius in hi$ce rebus ver$ati $unt. Clau$tris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	777 ergo re$eratis, aditum Nobis aperuit ad pulcherrima rerum my-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	778 $teria. Sy$tematis Mundani compagem eleganti$$imam ita tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	779 dem patefecit & penitius per$pectandam dedit; ut nec ip$e, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	780 nunc revivi$ceret, Rex <I>Alphon$us</I> vel $implicitatem vel harmoniæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	781 gratiam in ea de$ideraret. Itaque Naturæ maje$tatem propius jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	782 licet intueri, & dulci$$ima contemplatione frui, Conditorem vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	783 ac Dominum Univer$orum impen$ius colere & venerari, qui fructus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	784 e$t Philo$ophiæ multo uberrimus. Cæcum e$$e oportet, qui ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	785 optimis & $apienti$$imis rerum $tructuris non $tatim videat Fabri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	786 catoris Omnipotentis infinitam $apientiam & bonitatem: in$anum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	787 qui profiteri nolit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	788 <p>Extabit igitur Eximium NEWTONI Opus adver$us Atheorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	789 impetus muniti$$imum præ$idium: neque enim alicunde felicius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	790 quam ex hac pharetra, contra impiam Catervam tela depromp$eris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	791 Hoc $en$it pridem, & in pereruditis Concionibus Anglice Latineque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	792 editis, primus egregie demon$travit Vir in omni Literarum genere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	793 præclarus idemque bonarum Artium fautor eximius RICHARDUS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	794 BENTLEIUS, Sæculi $ui & Academiæ no$træ magnum Orna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	795 mentum, Collegii no$tri <I>S. Trinitatis</I> Magi$ter digni$$imus & in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	796 tegerrimus. Huic ego me pluribus nominibus ob$trictum fateri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	797 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	798 debeo: Huic & Tuas quæ debentur gratias, Lector benevole, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	799 denegabis. Is enim, cum a longo tempore Celeberrimi Auctoris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	800 amicitia intima frueretur, (qua etiam apud Po$teros cen$eri non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	801 minoris æ$timat, quam propriis Scriptis quæ literato orbi in de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	802 liciis $unt inclare$cere) Amici $imul famæ & $cientiarum incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	803 mento con$uluit. Itaque cum Exemplaria prioris Editionis rari$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	804 $ima admodum & immani pretio coemenda $upere$$ent; $ua$it Ille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	805 crebris efflagitationibus & tantum non objurgando perpulit deni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	806 que Virum Præ$tanti$$imum, nec mode$tia minus quam eruditi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	807 one $umma In$ignem, ut novam hanc Operis Editionem, per om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	808 nia elimatam denuo & egregiis in$uper acce$$ionibus ditatam, $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	809 $umptibus & au$piciis prodire pateretur: Mihi vero, pro jure
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	810 $uo, pen$um non ingratum demandavit, ut quam po$$et emendate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	811 id fieri curarem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	812 <p><I>Cantabrigiæ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	813 Maii 12. 1713.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	814 <p>ROGERUS COTES Collegii <I>S. Trinitatis</I> Socius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	815 A$tronomiæ & Philo$ophiæ Experimentalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	816 Profe$$or <I>Plumianus.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	817 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	818 <C>INDEX CAPITUM
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	819 TOTIUS OPERIS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	820 <p>PAG.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	821 <p>DEFINITIONES. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	822 <p>AXIOMATA, SIVE LEGES MOTUS. 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	823 <C>DE MOTU CORPORUM LIBER PRIMUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	824 <p>SECT. I. <I>DE Methodo rationum primarum & ultima-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	825 rum.</I> 24
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	826 <p>SECT. II. <I>De inventione Virium centripetarum.</I> 34
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	827 <p>SECT. III. <I>De motu corporum in Conicis $ectionibus eccentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	828 cis.</I> 48
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	829 <p>SECT. IV. <I>De inventione Orbium Ellipticorum, Parabolicorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	830 & Hyperbolicorum ex Umbilico dato.</I> 59
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	831 <p>SECT. V. <I>De inventione Orbium ubi Umbilicus neuter datur.</I> 66
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	832 <p>SECT. VI. <I>De inventione Motuum in Orbibus datis.</I> 97
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	833 <p>SECT. VII. <I>De corporum A$cen$u & De$cen$u rectilineo.</I> 105
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	834 <p>SECT. VII. <I>De inventione Orbium in quibus corpora Viribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	835 quibu$cunque centripetis agitata revolvuntur.</I> 114
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	836 <p>SECT. IX. <I>De Motu corporum in Orbibus mobilibus, deque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	837 Motu Ap$idum.</I> 121
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	838 <p>SECT. X. <I>De Motu corporum in Superficiebus datis, deque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	839 Funependulorum Motu reciproco.</I> 132
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	840 <p>SECT. XI. <I>De Motu corporum Viribus centripetis $e mutuo pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	841 tentium.</I> 147
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	842 <p>SECT. XII. <I>De corporum Sphæricorum Viribus attractivis.</I> 173
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	843 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	844 <p>SECT. XIII. <I>De corporum non Sphæricorum Viribus attracti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	845 vis.</I> 192
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	846 <p>SECT. XIV. <I>De Motu corporum Minimorum, quæ Veribus cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	847 tripetis ad $ingulas Magni alicujus corporis partes ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	848 dentibus agitantur.</I> 203
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	849 <C>DE MOTU CORPORUM LIBER SECUNDUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	850 <p>SECT. I. <I>DE Motu corporum quibus re$i$titur in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	851 Velocitatis.</I> 211
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	852 <p>SECT. II. <I>De Motu corporum quibus re$i$titur in duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	853 tione Velocitatis.</I> 220
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	854 <p>SECT. III. <I>De Motu corporum quibus re$i$titur partim in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	855 Velocitatis, partim in eju$dem ratione duplicata.</I> 245
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	856 <p>SECT. IV. <I>De corporum Circulari motu in Mediis re$i$tentibus.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	857 253
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	858 <p>SECT. V. <I>De den$itate & compre$$ione Fluidorum, deque Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	859 dro$tatica.</I> 260
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	860 <p>SECT. VI. <I>De Motu & Re$i$tentia corporum Funependulorum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	861 272
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	862 <p>SECT. VII. <I>De motu Fluidorum & re$i$tentia Projectilium.</I> 294
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	863 <p>SECT. VIII. <I>De motu per Fluida propagato.</I> 329
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	864 <p>SECT. IX. <I>De motu Circulari Fluidorum.</I> 345
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	865 <C>DE MUNDI SYSTEMATE LIBER TERTIUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	866 <p>REGULÆ PHILOSOPHANDI 357
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	867 <p>PHÆNOMENA 359
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	868 <p>PROPOSITIONES 362
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	869 <p>SCHOLIUM GENERALE. 481
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	870 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	871 <C>PHILOSOPHIÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	872 NATURALIS
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	873 Principia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	874 MATHEMATICA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	875 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	876 <C>DEFINITIONES.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	877 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	878 <C>DEFINITIO I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	879 <C><I>Quantitas Materiæ e$t men$ura eju$dem orta ex illius Den$itate &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	880 Magnitudine conjunctim.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	881 <p>AER, den$itate duplicata, in $patio etiam duplicato fit qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	882 druplus; in triplicato $extuplus. Idem intellige de Nive &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	883 Pulveribus per compre$$ionem vel liquefactionem conden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	884 $atis. Et par e$t ratio corporum omnium, quæ per cau$as qua$cun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	885 que diver$imode conden$antur. Medii interea, $i quod fuerit, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	886 ter$titia partium libere pervadentis, hic nullam rationem habeo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	887 Hanc autem Quantitatem $ub nomine Corporis vel Ma$$æ in $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	888 quentibus pa$$im intelligo. Innote$cit ea per corporis cuju$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	889 Pondus. Nam Ponderi proportionalem e$$e reperi per experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	890 menta Pendulorum accurati$$ime in$tituta, uti po$thac docebitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	891 <C>DEFINITIO II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	892 <C><I>Quantitas Motus e$t men$ura eju$dem orta ex Velocitate & Quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	893 titate Materiæ conjunctim.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	894 <p>Motus totius e$t $umma motuum in partibus $ingulis; adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	895 in corpore duplo majore æquali cum velocitate duplus e$t, & du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	896 pla cum velocitate quadruplus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	897 <pb n=2>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	898 <C>DEFINITIO III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	899 <p><I>Materiæ Vis In$ita e$t potentia re$i$tendi, qua corpus unumquodque,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	900 quantum in $e e$t, per$everat in $tatu $uo vel quie$cendi vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	901 movendi uniformiter in directum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	902 <p>Hæc $emper proportionalis e$t $uo corpori, neque differt quic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	903 quam ab Inertia ma$$æ, ni$i in modo concipiendi. Per inertiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	904 materiæ, fit ut corpus omne de $tatu $uo vel quie$cendi vel moven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	905 di difficulter deturbetur. Unde etiam vis in$ita nomine $ignifican-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	906 ti$$imo Vis Inertiæ dici po$$it. Exercet vero corpus hanc vim $olum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	907 modo in mutatione $tatus $ui per vim aliam in $e impre$$am facta;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	908 e$tq; exercitium ejus $ub diver$o re$pectu & Re$i$tentia & Impetus:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	909 re$i$tentia, quatenus corpus ad con$ervandum $tatum $uum relucta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	910 tur vi impre$$æ; impetus, quatenus corpus idem, vi re$i$tentis ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	911 $taculi difficulter cedendo, conatur $tatum ejus mutare. Vulgus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	912 re$i$tentiam quie$centibus & impetum moventibus tribuit: $ed mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	913 tus & quies, uti vulgo concipiuntur, re$pectu $olo di$tinguuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	914 ab invicem; neq; $emper vere quie$cunt quæ vulgo tanquam quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	915 $centia $pectantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	916 <C>DEFINITIO IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	917 <C><I>Vis Impre$$a e$t actio in corpus exercita, ad mutandum ejus $tatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	918 vel quie$cendi vel movendi uniformiter in directum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	919 <p>Con$i$tit hæc vis in actione $ola, neque po$t actionem permanet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	920 in corpore. Per$everat enim corpus in $tatu omni novo per $olam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	921 vim inertiæ. E$t autem vis impre$$a diver$arum originum, ut ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	922 Ictu, ex Pre$$ione, ex vi Centripeta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	923 <C>DEFINITIO V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	924 <C><I>Vis Centripeta e$t, qua corpora ver$us punctum aliquod tanquam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	925 Centrum undique trahuntur, impelluntur, vel utcunq tendunt.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	926 <p>Hujus generis e$t Gravitas, qua corpora tendunt ad centrum ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	927 ræ; Vis Magnetica, qua ferrum petit magnetem; & Vis illa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	928 quæcunq; $it, qua Planetæ perpetuo retrahuntur a motibus rectili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	929 neis, & in lineis curvis revolvi coguntur. Lapis, in funda circum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	930 <pb n=3>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	931 actus, a circumagente manu abire conatur; & conatu $uo fundam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	932 di$tendit, eoq; fortius quo celerius revolvitur; &, quamprimum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	933 mittitur, avolat. Vim conatui illi contrariam, qua funda lapidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	934 in manum perpetuò retrahit & in orbe retinet, quoniam in manum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	935 ceu orbis centrum dirigitur, Centripetam appello. Et par e$t ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	936 corporum omnium, quæ in gyrum aguntur. Conantur ea omnia a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	937 centris orbium recedere; & ni$i ad$it vis aliqua conatui i$ti contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	938 ria, qua cohibeantur & in orbibus retineantur, quamque ideò Centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	939 petam appello, abibunt in rectis lineis uniformi cum motu. Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	940 jectile, $i vi Gravitatis de$titueretur, non deflecteretur in terram, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	941 in linea recta abiret in cælos; idque uniformi cum motu, $i modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	942 aeris re$i$tentia tolleretur. Per gravitatem $uam retrahitur a cur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	943 rectilineo & in terram perpetuo flectitur, idque magis vel minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	944 pro gravitate $ua & velocitate motus. Quo minor erit ejus gravitas pro quantitate materiæ vel major &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	945 vel major velocitas quacum projicitur, eo minus deviabit a cur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	946 rectilineo & longius perget. Si Globus plumbeus, data cum velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	947 citate $ecundum lineam horizontalem a montis alicujus vertice vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	948 pulveris tormentarii projectus, pergeret in linea curva ad di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	949 duorum milliarium, priu$quam in terram decideret: hic dupla cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	950 velocitate qua$i duplo longius pergeret, & decupla cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	951 qua$i decuplo longius: $i modo aeris re$i$tentia tolleretur. Et augendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	952 velocitatem augeri po$$et pro lubitu di$tantia in quam projiceretur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	953 & minui curvatura lineæ quam de$criberet, ita ut tandem caderet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	954 ad di$tantiam graduum decem vel triginta vel nonaginta; vel eriam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	955 ut terram totam circuiret priu$quam caderet; vel denique ut in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	956 terram nunquam caderet, $ed in cælos abiret & motu abeundi per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	957 geret in infinitum. Et eadem ratione, qua Projectile vi gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	958 in orbem flecti po$$et & terram totam circuire, pote$t & Luna vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	959 vi gravitatis, $i modo gravis $it, vel alia quacunque vi, qua in ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	960 ram urgeatur, retrahi $emper a cur$u rectilineo terram ver$us, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	961 in orbem $uum flecti: & ab$que tali vi Luna in orbe $uo retineri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	962 non pote$t. Hæc vis, $i ju$to minor e$$et, non $atis flecteret Lunam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	963 de cur$u rectilineo: $i ju$to major, plus $atis flecteret, ac de orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	964 terram ver$us deduceret. Requiritur quippe, ut $it ju$tæ magnitudinis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	965 & Mathematicorum e$t invenire Vim, qua corpus in dato quovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	966 orbe data cum velocitate accurate retineri po$$it; & vici$$im inve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	967 nire Viam curvilineam, in quam corpus e dato quovis loco data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	968 cum velocitate egre$$um a data vi flectatur. E$t autem vis hujus cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	969 tripetæ Quantitas trium generum, Ab$oluta, Acceleratrix, & Motrix.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	970 <pb n=4>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	971 <MARG>NI-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	972 ES.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	973 <C>DEFINITIO VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	974 <C><I>Vis centripetæ Quantitas Ab$oluta e$t men$ura eju$dem major vel minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	975 pro Efficacia cau$æ eam propagantis a centro per regiones in circuitu.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	976 <p>Ut vis Magnetica pro mole magnetis vel inten$ione virtutis major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	977 in uno magnete, minor in alio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	978 <C>DEFINITIO VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	979 <C><I>Vis centripetæ Quantitas Acceleratrix e$t ip$ius men$ura Velocitati
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	980 proportionalis, quam dato tempore generat.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	981 <p>Uti Virtus magnetis eju$dem major in minori di$tantia, minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	982 in majori: vel vis Gravitans major in vallibus, minor in cacumini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	983 bus præaltorum montium, atque adhuc minor (ut po$thac patebit)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	984 in majoribus di$tantiis a globo terræ; in æqualibus autem di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	985 tiis eadem undique, propterea quod corpora omnia cadentia (gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	986 via an levia, magna an parva) $ublata Aeris re$i$tentia, æqualiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	987 accelerat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	988 <C>DEFINITIO VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	989 <C><I>Vis centripetæ Quantitas Motrix e$t ip$ius men$ura proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	990 Motui, quem dato tempore generat.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	991 <p>Uti Pondus majus in majore corpore, minus in minore; inque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	992 corpore eodem majus prope terram, minus in cælis. Hæc Quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	993 e$t corporis totius centripetentia $eu propen$io in centrum, & (ut ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	994 dicam) Pondus; & innote$cit $emper per vim ip$i contrariam & æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	995 qualem, qua de$cen$us corporis impediri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	996 <p>Ha$ce virium quantitates brevitatis gratia nominare licet vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	997 motrices, acceleratrices, & ab$olutas; & di$tinctionis gratia referre ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	998 Corpora, centrum petentia, ad corporum Loca, & ad Centrum virium:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	999 nimirum vim motricem ad Corpus, tanquam conatum & propen$io-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1000 nem totius in centrum ex propen$ionibus omnium partium compo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1001 tam; & vim acceleratricem ad Locum corporis, tanquam efficaciam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1002 quandam, de centro per loca $ingula in circuitu diffu$am, ad movenda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1003 corpora quæ in ip$is $unt; vim autem ab$olutam ad Centrum, tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1004 quam cau$a aliqua præditum, $ine qua vires motrices non propa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1005 gantur per regiones in circuitu; $ive cau$a illa $it corpus aliquod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1006 centrale (quale e$t Magnes in centro vis magneticæ, vel Terra in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1007 <pb n=5>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1008 centro vis gravitantis) $ive alia aliqua quæ non apparet. Mathe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1009 maticus duntaxat e$t hic conceptus. Nam virium cau$as & $edes phy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1010 $icas jam non expendo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1011 <p>E$t igitur vis acceleratrix ad vim motricem ut celeritas ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1012 tum. Oritur enim quantitas motus ex celeritate ducta in quanti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1013 tatem materiæ, & vis motrix ex vi acceleratrice ducta in quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1014 tem eju$dem materiæ. Nam $umma actionum vis acceleratricis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1015 $ingulas corporis particulas e$t vis motrix totius. Unde juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1016 $uperficiem Terræ, ubi gravitas acceleratrix $eu vis gravitans in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1017 corporibus univer$is eadem e$t, gravitas motrix $eu pondus e$t ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1018 corpus: at $i in regiones a$cendatur ubi gravitas acceleratrix fit mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1019 nor, pondus pariter minuetur, eritque $emper ut corpus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1020 gravitatem acceleratricem ductum. Sic in regionibus ubi gravitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1021 acceleratrix duplo minor e$t, pondus corporis duplo vel triplo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1022 minoris erit quadruplo vel $extuplo minus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1023 <p>Porro attractiones & impul$us eodem $en$u acceleratrices & mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1024 trices nomino. Voces autem Attractionis, Impul$us, vel Propen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1025 $ionis cuju$cunque in centrum, indifferenter & pro $e mutuo pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1026 mi$cue u$urpo; has vires non Phy$ice $ed Mathematice tantum con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1027 $iderando. Unde caveat lector, ne per huju$modi voces cogitet me
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1028 $peciem vel modum actionis cau$amve aut rationem Phy$icam ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1029 cubi definire, vel centris (quæ $unt puncta Mathematica) vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1030 vere & Phy$ice tribuere; $i forte aut centra trahere, aut vires cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1031 trorum e$$e dixero.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1032 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1033 <p>Hactenus voces minus notas, quo $en$u in $equentibus acci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1034 piendæ $int, explicare vi$um e$t. Nam Tempus, Spatium, Locum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1035 & Motum, ut omnibus noti$$ima, non definio. Notandum tamen, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1036 vulgus quantitates ha$ce non aliter quam ex relatione ad $en$ibilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1037 concipiat. Et inde oriuntur præjudicia quædam, quibus tollendis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1038 convenit ea$dem in ab$olutas & relativas, veras & apparentes, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1039 thematicas & vulgares di$tingui.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1040 <p>I. Tempus Ab$olutum, verum, & mathematicum, in $e & natura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1041 $ua ab$q; relatione ad externum quodvis, æquabiliter fluit, alioq;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1042 nomine dicitur Duratio: Relativum, apparens, & vulgare e$t $en$ibilis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1043 & externa quævis Durationis per motum men$ura ($eu accurata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1044 $eu inæquabilis) qua vulgus vice veri temporis utitur; ut Hora,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1045 Dies, Men$is, Annus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1046 <pb n=6>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1047 <MARG>NI-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1048 ES.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1049 <p>II. Spatium Ab$olutum, natura $ua ab$que relatione ad externum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1050 quodvis, $emper manet $imilare & immobile: Relativum e$t $patii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1051 hujus men$ura $eu dimen$io quælibet mobilis, quæ a $en$ibus no$tris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1052 per $itum $uum ad corpora definitur, & a vulgo pro $patio immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1053 bili u$urpatur: uti dimen$io $patii $ubterranei, aerei vel cæle$tis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1054 definita per $itum $uum ad Terram. Idem $unt $patium ab$olutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1055 & relativum, $pecie & magnitudine; $ed non permanent idem $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1056 per numero. Nam $i Terra, verbi gratia, movetur; $patium Aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1057 no$tri, quod relative & re$pectu Terræ $emper manet idem, nunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1058 erit una pars $patii ab$oluti in quam Aer tran$it, nunc alia pars ejus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1059 & $ic ab$olute mutabitur perpetuo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1060 <p>III. Locus e$t pars $patii quam corpus occupat, e$tq; pro ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1061 $patii vel Ab$olutus vel Relativus. Pars, inquam, $patii; non Situs
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1062 corporis, vel Superficies ambiens. Nam $olidorum æqualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1063 æquales $emper $unt loci; Superficies autem ob di$$imilitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1064 figurarum ut plurimum inæquales $unt; Situs vero proprie loquen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1065 do quantitatem non habent, neq; tam $unt loca quam affectiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1066 locorum. Motus totius idem e$t cum $umma motuum partium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1067 hoc e$t, tran$latio totius de $uo loco eadem e$t cum $umma tran$la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1068 tionum partium de locis $uis; adeoq; locus totius idem cum $umma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1069 locorum partium, & propterea internus & in corpore toto.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1070 <p>IV. Motus Ab$olutus e$t tran$latio corporis de loco ab$oluto in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1071 locum ab$olutum, Relativus de relativo in relativum. Sic in navi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1072 quæ velis pa$$is fertur, relativus corporis Locus e$t navigii regio illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1073 in qua corpus ver$atur, $eu cavitatis totius pars illa quam corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1074 implet, quæq; adeo movetur una cum navi: & Quies relativa e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1075 perman$io corporis in eadem illa navis regione vel parte cavita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1076 tis. At quies Vera e$t perman$io corporis in eadem parte $patii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1077 illius immoti in qua navis ip$a una cum cavitate $ua & contentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1078 univer$is movetur. Unde $i Terra vere quie$cit, corpus quod rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1079 tive quie$cit in navi, movebitur vere & ab$olute ea cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1080 qua navis movetur in Terra. Sin Terra etiam movetur; orietur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1081 verus & ab$olutus corporis motus, partim ex Terræ motu vero in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1082 $patio immoto, partim ex navis motu relativo in Terra: & $i cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1083 pus etiam movetur relative in navi; orietur verus ejus motus, par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1084 tim ex vero motu Terræ in $patio immoto, partim ex relativis mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1085 tibus tum navis in Terra, tum corporis in navi; & ex his motibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1086 relativis orietur corporis motus relativus in Terra. Ut $i Terræ pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1087 illa, ubi navis ver$atur, moveatur vere in orientem cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1088 partium 10010; & velis ventoq; feratur navis in occidentem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1089 velocitate partium decem; Nauta autem ambulet in navi ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1090 <pb n=7>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1091 entem ver$us cum velocitatis parte una: movebitur Nauta vere &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1092 ab$olute in $patio immoto cum velocitatis partibus 10001 in o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1093 rientem, & relative in terra occidentem ver$us cum velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1094 partibus novem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1095 <p>Tempus Ab$olutum a relativo di$tinguitur in A$tronomia per Æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1096 quationem temporis vulgi. Inæquales enim $unt dies Naturales,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1097 qui vulgo tanquam æquales promen$ura temporis habentur. Hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1098 inæqualitatem corrigunt A$tronomi, ut ex veriore tempore men$urent motus &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1099 motus cæle$tes. Po$$ibile e$t, ut nullus $it motus æquabilis quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1100 Tempus accurate men$uretur. Accelerari & retardari po$$unt motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1101 omnes, $ed fluxus temporis Ab$oluti mutari nequit. Eadem e$t du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1102 ratio $eu per$everantia exi$tentiæ rerum; $ive motus $int celeres, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1103 tardi, $ive nulli: proinde hæc a men$uris $uis $en$ibilibus merito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1104 di$tinguitur, & ex ii$dem colligitur per Æquationem A$tronomi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1105 cam. Hujus autem æquationis in determinandis Phænomenis ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1106 ce$$itas, tum per experimentum Horologii O$cillatorii, tum etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1107 per eclip$es Satellitum Jovis evincitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1108 <p>Ut partium Temporis ordo e$t immutabilis, $ic etiam ordo par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1109 tium Spatii. Moveantur hæ de locis $uis, & movebuntur (ut ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1110 dicam) de $eip$is. Nam tempora & $patia $unt $ui ip$orum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1111 rerum omnium qua$i Loca. In Tempore quoad ordinem $ucce$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1112 onis; in Spatio quoad ordinem $itus locantur univer$a. De illo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1113 rum e$$entia e$t ut $int Loca: & loca primaria moveri ab$urdum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1114 e$t. Hæc $unt igitur ab$oluta Loca; & $olæ tran$lationes de his lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1115 cis $unt ab$oluti Motus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1116 <p>Verum quoniam hæ Spatii partes videri nequeunt, & ab invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1117 cem per $en$us no$tros di$tingui; earum vice adhibemus men$uras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1118 $en$ibiles. Ex po$itionibus enim & di$tantiis rerum a corpore ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1119 quo, quod $pectamus ut immobile, de$inimus loca univer$a: deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1120 etiam & omnes motus æ$timamus cum re$pectu ad prædicta loca,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1121 quatenus corpora ab ii$dem transferri concipimus. Sic vice loco-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1122 rum & motuum ab$olutorum relativis utimur; nec incommode in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1123 rebus humanis: in Philo$ophicis autem ab$trahendum e$t a $en$ibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1124 Fieri etenim pote$t, ut nullum revera quie$cat corpus, ad quod loca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1125 motu$que referantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1126 <p>Di$tinguuntur autem Quies & Motus ab$oluti & relativi ab invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1127 cem per Proprietates $uas & Cau$as & Effectus. Quietis proprietas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1128 e$t, quod corpora vere quie$centia quie$cunt inter $e. Ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1129 cum po$$ibile $it, ut corpus aliquod in regionibus Fixarum, aut longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1130 ultra, quie$cat ab$olute; $ciri autem non po$$it ex $itu corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1131 ad invicem in regionibus no$tris, horumne aliquod ad longin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1132 <pb n=8>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1133 <MARG>NI-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1134 ES.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1135 quum illud datam po$itionem $ervet necne; quies vera ex horum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1136 $itu inter $e definiri nequit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1137 <p>Motus proprietas e$t, quod partes, quæ datas $ervant po$itiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1138 ad tota, participant motus eorundem totorum. Nam Gyrantium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1139 partes omnes conantur recedere ab axe motus, & Progredientium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1140 impetus oritur ex conjuncto impetu partium $ingularum. Motis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1141 igitur corporibus ambientibus, moventur quæ in ambientibus rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1142 tive quie$cunt. Et propterea motus verus & ab$olutus definiri ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1143 quit per tran$lationem e vicinia corporum, quæ tanquam quie$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1144 tia $pectantur. Debent enim corpora externa non $olum tanquam qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1145 e$centia $pectari, $ed etiam vere quie$cere. Alioquin inclu$a om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1146 nia, præter tran$lationem e vicinia ambientium, participabunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1147 etiam ambientium motus veros; & $ublata illa tran$latione non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1148 vere quie$cent, $ed tanquam quie$centia $olummodo $pectabun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1149 tur. Sunt enim ambientia ad inclu$a, ut totius pars exterior ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1150 partem interiorem, vel ut cortex ad nucleum. Moto autem cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1151 tice, nucleus etiam, ab$q; tran$latione de vicinia corticis, ceu pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1152 totius movetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1153 <p>Præcedenti proprietati affinis e$t, quod moto Loco movetur una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1154 Locatum: adeoque corpus, quod de loco moto movetur, participat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1155 etiam loci $ui motum. Motus igitur omnes, qui de locis motis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1156 fiunt, $unt partes $olummodo motuum integrorum & ab$olutorum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1157 & motus omnis integer componitur ex motu corporis de loco $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1158 primo, & motu loci hujus de loco $uo, & $ic deinceps; u$que dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1159 perveniatur ad locum immotum, ut in exemplo Nautæ $upra me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1160 morato. Unde motus integri & ab$oluti non ni$i per loca immota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1161 definiri po$$unt: & propterea hos ad loca immota, relativos ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1162 bilia $upra retuli. Loca autem immota non $unt, ni$i quæ omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1163 ab infinito in infinitum datas $ervant po$itiones ad invicem; atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1164 adeo $emper manent immota, $patiumque con$tituunt quod Immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1165 bile appello.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1166 <p>Cau$æ, quibus motus veri & relativi di$tinguuntur ab invicem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1167 $unt Vires in corpora impre$$æ ad motum generandum. Motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1168 verus nec generatur nec mutatur, ni$i per vires in ip$um corpus mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1169 tum impre$$as: at motus relativus generari & mutari pote$t ab$q;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1170 viribus impre$$is in hoc corpus. Sufficit enim ut imprimantur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1171 alia $olum corpora ad quæ fit relatio, ut iis cedentibus mutetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1172 relatio illa in qua hujus quies vel motus relativus con$i$tit. Rur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1173 $um motus verus a viribus in corpus motum impre$$is $emper muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1174 tur; at motus relativus ab his viribus non mutatur nece$$ario. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1175 $i eædem vires in alia etiam corpora, ad quæ $it relatio, $ic impri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1176 <pb n=9>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1177 mantur ut $itus relativus con$ervetur, con$ervabitur relatio in qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1178 motus relativus con$i$tit. Mutari igitur pote$t motus omnis relati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1179 vus ubi verus con$ervatur, & con$ervari ubi verus mutatur; & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1180 terea motus verus in eju$modi relationibus minime con$i$tit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1181 <p>Effectus quibus motus ab$oluti & relativi di$tinguuntur ab invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1182 cem, $unt vires recedendi ab axe motus circularis. Nam in motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1183 circulari nude relativo hæ vires nullæ $unt, in vero autem & ab$o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1184 luto majores vel minores pro quantitate motus. Si pendeat $itula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1185 a filo prælongo, agaturque perpetuo in orbem, donec filum a con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1186 tor$ione admodum rige$cat, dein impleatur aqua, & una cum aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1187 quie$cat; tum vi aliqua $ubitanea agatur motu contrario in orbem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1188 & filo $e relaxante, diutius per$everet in hoc motu; $uperficies a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1189 quæ $ub initio plana erit, quemadmodum ante motum va$is: at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1190 po$tquam, vi in aquam paulatim impre$$a, effecit vas, ut hæc quoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1191 $en$ibiliter revolvi incipiat; recedet ip$a paulatim a medio, a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1192 detque ad latera va$is, figuram concavam induens, (ut ip$e exper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1193 tus $um) & incitatiore $emper motu a$cendet magis & magis, do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1194 nec revolutiones in æqualibus cum va$e temporibus peragendo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1195 quie$cat in eodem relative. Indicat hic a$cen$us conatum rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1196 dendi ab axe motus, & per talem conatum innote$cit & men$ura-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1197 tur motus aquæ circularis verus & ab$olutus, motuique relativo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1198 hic omnino contrarius. Initio, ubi maximus erat aquæ motus rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1199 tivus in va$e, motus ille nullum excitabat conatum recedendi ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1200 axe: aqua non petebat circumferentiam a$cendendo ad latera va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1201 $is, $ed plana manebat, & propterea motus illius circularis verus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1202 nondum inceperat. Po$tea vero, ubi aquæ motus relativus decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1203 vit, a$cen$us ejus ad latera va$is indicabat conatum recedendi ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1204 axe; atque hic conatus mon$trabat motum illius circularem verum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1205 perpetuo cre$centem, ac tandem maximum factum ubi aqua quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1206 $cebat in va$e relative. Igitur conatus i$te non pendet a tran$la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1207 tione aquæ re$pectu corporum ambientium, & propterea motus cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1208 cularis verus per tales tran$lationes definiri nequit. Unicus e$t cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1209 poris cuju$que revolventis motus vere circularis, conatui unico tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1210 quam proprio & adæquato effectui re$pondens: motus autem rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1211 tivi pro variis relationibus ad externa innumeri $unt; & relationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1212 in$tar, effectibus veris omnino de$tituuntur, ni$i quatenus verum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1213 illum & unicum motum participant. Unde & in Sy$temate eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1214 qui Cælos no$tros infra Cælos Fixarum in orbem revolvi volunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1215 & Planetas $ecum deferre; $ingulæ Cælorum partes, & Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1216 qui relative quidem in Cælis $uis proximis quie$cunt, moven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1217 <pb n=10>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1218 <MARG>NI-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1219 ES.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1220 tur vere. Mutant enim po$itiones $uas ad invicem ($ecus quam fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1221 in vere quie$centibus) unaque cum cælis delati participant eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1222 motus, & ut partes revolventium totorum, ab eorum axibus rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1223 dere conantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1224 <p>Igitur quantitates relativæ non $unt eæ ip$æ quantitates, quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1225 nomina præ $e ferunt, $ed earum men$uræ illæ $en$ibiles (veræ an
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1226 errantes) quibus vulgus loco quantitatum men$uratarum utitur. At
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1227 $i ex u$u definiendæ $unt verborum $ignificationes; per nomina il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1228 la Temporis, Spatii, Loci & Motus proprie intelligendæ erunt hæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1229 men$uræ; & $ermo erit in$olens & pure Mathematicus, $i quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1230 tes men$uratæ hic intelligantur. Proinde vim inferunt Sacris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1231 Literis, qui voces ha$ce de quantitatibus men$uratis ibi interpre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1232 tantur. Neque minus contaminant Mathe$in & Philo$ophiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1233 qui quantitates veras cum ip$arum relationibus & vulgaribus men-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1234 furis confundunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1235 <p>Motus quidem veros corporum $ingulorum cogno$cere, & ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1236 apparentibus actu di$criminare, difficillimum. e$t propterea quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1237 partes $patii illius immobilis, in quo corpora vere moventur, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1238 incurrunt in $en$us. Cau$a tamen non e$t pror$us de$perata. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1239 $uppetunt argumenta, partim ex motibus apparentibus qui $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1240 motuum verorum differentiæ, partim ex viribus quæ $unt mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1241 tuum verorum cau$æ & effectus. Ut $i globi duo, ad datam ab in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1242 vicem di$tantiam filo intercedente connexi, revolverentur circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1243 commune gravitatis centrum; innote$ceret ex ten$ione fili cona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1244 tus globorum recedendi ab axe motus, & inde quantitas motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1245 circularis computari po$$et. Deinde $i vires quælibet æquales in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1246 alternas globorum facies ad motum circularem augendum vel mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1247 nuendum $imul imprimerentur, innote$ceret ex aucta vel diminuta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1248 fili ten$ione augmentum vel decrementum motus; & inde tandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1249 inveniri po$$ent facies globorum in quas vires imprimi deberent,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1250 ut motus maxime augeretur; id e$t, facies po$ticæ, $ive quæ in mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1251 tu circulari $equuntur. Cognitis autem faciebus quæ $equuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1252 & faciebus oppo$itis quæ præcedunt, cogno$ceretur determinatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1253 motus. In hunc modum inveniri po$$et & quantitas & determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1254 natio motus hujus circularis in vacuo quovis immen$o, ubi nihil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1255 extaret externum & $en$ibile quocum globi conferri po$$ent. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1256 jam con$tituerentur in $patio illo corpora aliqua longinqua datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1257 inter $e po$itionem $ervantia, qualia $unt Stellæ Fixæ in regionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1258 no$tris: $ciri quidem non po$$et ex relativa globorum tran$latione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1259 inter corpora, utrum his an illis tribuendus e$$et motus. At $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1260 <pb n=11>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1261 attenderetur ad filum, & deprenderetur ten$ionem ejus illam ip$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1262 e$$e quam motus globorum requireret; concludere liceret mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1263 tum e$$e globorum, & corpora quie$cere; & tum demum ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1264 tran$latione globorum inter corpora, determinationem hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1265 motus colligere. Motus autem veros ex eorum cau$is, effecti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1266 bus, & apparentibus differentiis colligere; & contra ex motibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1267 $eu veris $eu apparentibus eorum cau$as & effectus, docebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1268 fu$ius in $equentibus. Hunc enim in finem Tractatum $equentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1269 compo$ui.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1270 <pb n=12>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1271 <MARG>TA,</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1272 <C>AXIOMATA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1273 SIVE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1274 LEGES MOTUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1275 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1276 <C>LEX I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1277 <p><I>Corpus omne per$everare in $tatu $uo quie$cendi vel movendi uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1278 formiter in directum, ni$i quatenus a viribus impre$$is cogitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1279 $tatum illum mutare.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1280 <p>PRojectilia per$everant in motibus $uis, ni$i quatenus a re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1281 $tentia aeris retardantur, & vi gravitatis impelluntur deor$um.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1282 Trochus, cujus partes cohærendo perpetuo retrahunt $e$e a mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1283 tibus rectilineis, non ce$$at rotari, ni$i quatenus ab aere retardatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1284 Majora autem Planetarum & Cometarum corpora motus $uos &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1285 progre$$ivos & circulares in $patiis minus re$i$tentibus factos con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1286 $ervant diutius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1287 <C>LEX II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1288 <C><I>Mutationem motus proportionalem e$$e vi motrici impre$$æ, & fieri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1289 $ecundum lineam rectam qua vis illa imprimitur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1290 <p>Si vis aliqua motum quemvis generet; dupla duplum, tripla tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1291 plum generabit, $ive $imul & $emel, $ive gradatim & $ucce$$ive im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1292 pre$$a fuerit. Et hic motus (quoniam in eandem $emper plagam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1293 cum vi generat<*>ice determinatur) $i corpus antea movebatur, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1294 tui ejus vel con$piranti additur, vel contrario $ubducitur, vel obli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1295 quo oblique adjicitur, & cum eo $ecundum utriu$que determina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1296 tionem componitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1297 <pb n=13>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1298 <C>LEX III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1299 <p><I>Actioni contrariam $emper & æqualem e$$e reactionem: $ive cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1300 porum duorum actiones in $e mutuo $emper e$$e æquales & in par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1301 tes contrarias dirigi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1302 <p>Quicquid premit vel trahit alterum, tantundem ab eo premitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1303 vel trahitur. Si quis lapidem digito premit, premitur & hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1304 digitus a lapide. Si equus lapidem funi alligatum trahit, retrahe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1305 tur etiam & equus (ut ita dicam) æqualiter in lapidem: nam funis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1306 utrinque di$tentus eodem relaxandi $e conatu urgebit equum ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1307 $us lapidem, ac lapidem ver$us equum; tantumque impediet pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1308 gre$$um unius quantum promovet progre$$um alterius. Si corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1309 aliquod in corpus aliud impingens, motum ejus vi $ua quomodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1310 cunque mutaverit, idem quoque vici$$im in motu proprio eandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1311 mutationem in partem contrariam vi alterius ob æqualitatem pre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1312 $ionis mutuæ) $ubibit. His actionibus æquales fiunt mutationes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1313 non velocitatum, $ed motuum; $cilicet in corporibus non aliunde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1314 impeditis. Mutationes enim velocitatum, in contrarias itidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1315 partes factæ, quia motus æqualiter mutantur, $unt corporibus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1316 ciproce proportionales. Obtinet etiam hæc Lex in Attractionibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1317 ut in Scholio proximo probabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1318 <C>COROLLARIUM I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1319 <C><I>Corpus viribus conjunctis diagonalem parallelogrammi eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1320 pore de$cribere, quo latera $eparatis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1321 <p>Si corpus dato tempore, vi $ola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1322 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1323 <I>M</I> in loco <I>A</I> impre$$a, ferretur uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1324 formi cum motu ab <I>A</I> ad <I>B</I>; & vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1325 $ola <I>N</I> in eodem loco impre$$a, fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1326 retur ab <I>A</I> ad <I>C:</I> compleatur pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1327 rallelogrammum <I>ABDC,</I> & vi utra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1328 que feretur id eodem tempore in diagonali ab <I>A</I> ad <I>D.</I> Nam quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1329 niam vis <I>N</I> agit $ecundum lineam <I>AC</I> ip$i <I>BD</I> parallelam, hæc vis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1330 Legem 11 nihil mutabit velocitatem accedendi ad lineam illam <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1331 a vi altera genitam. Accedet igitur corpus eodem tempore ad lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1332 <I>BD,</I> $ive vis <I>N</I> imprimatur, $ive non; atque adeo in fine illius tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1333 ris reperietur alicubi in linea illa <I>BD.</I> Eodem argumento in fine tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1334 poris eju$dem reperietur alicubi in linea <I>CD,</I> & idcirco in utriu$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1335 lineæ concur$u <I>D</I> reperiri nece$$e e$t. Perget autem motu rectili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1336 neo ab <I>A</I> ad <I>D</I> per Legem 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1337 <pb n=14>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1338 <MARG>TA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1339 E</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1340 <C>COROLLARIUM II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1341 <p><I>Et hinc patet compo$itio vis directæ</I> AD <I>ex viribus quibu$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1342 obliquis</I> AB <I>&</I> BD, <I>& vici$$im re$olutio vis cuju$vis directæ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1343 AD <I>in obliquas qua$cunque</I> AB <I>&</I> BD. <I>Quæ quidem compo$itio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1344 & re$olutio abunde confirmatur ex Mechanica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1345 <p>Ut $i de rotæ alicujus centro <I>O</I> exeuntes radii inæquales <I>OM,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1346 ON</I> filis <I>MA, NP</I> $u$tineant pondera <I>A</I> & <I>P,</I> & quærantur vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1347 res ponderum ad movendam rotam: Per centrum <I>O</I> agatur recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1348 <I>KOL</I> filis perpendiculariter occurrens in <I>K</I> & <I>L,</I> centroque <I>O</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1349 intervallorum <I>OK, OL</I> majore <I>OL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1350 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1351 de$cribatur circulus occurrens filo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1352 <I>MA</I> in <I>D:</I> & actæ rectæ <I>OD</I> pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1353 rallela $it <I>AC,</I> & perpendicularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1354 <I>DC.</I> Quoniam nihil refert, utrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1355 filorum puncta <I>K, L, D</I> affixa $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1356 an non affixa ad planum rotæ; pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1357 dera idem valebunt, ac $i $u$pende-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1358 rentur a punctis <I>K</I> & <I>L</I> vel <I>D</I> & <I>L.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1359 Ponderis autem <I>A</I> exponatur vis to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1360 ta per lineam <I>AD,</I> & hæc re$olvetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1361 in vires <I>AC, CD,</I> quarum <I>AC</I> trahendo radium <I>OD</I> directe a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1362 tro nihil valet ad movendam rotam; vis autem altera <I>DC,</I> trahen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1363 do radium <I>DO</I> perpendiculariter, idem valet ac $i perpendiculari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1364 ter traheret radium <I>OL</I> ip$i <I>OD</I> æqualem; hoc e$t, idem atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1365 pondus <I>P,</I> $i modo pondus illud $it ad pondus <I>A</I> ut vis <I>DC</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1366 vim <I>DA,</I> id e$t (ob $imilia triangula <I>ADC, DOK,</I>) ut <I>OK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1367 ad <I>OD</I> $eu <I>OL.</I> Pondera igitur <I>A</I> & <I>P,</I> quæ $unt reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1368 radii in directum po$iti <I>OK</I> & <I>OL,</I> idem pollebunt, & $ic con$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1369 $tent in æquilibrio: quæ e$t proprietas noti$$ima Libræ, Vectis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1370 Axis in Peritrochio. Sin pondus alterutrum $it majus quam in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1371 ratione, erit vis ejus ad movendam rotam tanto major.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1372 <p>Quod $i pondus <I>p</I> ponderi <I>P</I> æquale partim $u$pendatur filo <I>Np,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1373 partim incumbat plano obliquo <I>pG:</I> agantur <I>pH, NH,</I> prior ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1374 rizonti, po$terior plano <I>pG</I> perpendicularis; & $i vis ponderis <I>p</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1375 deor$um tendens, exponatur per lineam <I>pH,</I> re$olvi pote$t hæc in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1376 vires <I>pN, HN.</I> Si filo <I>pN</I> perpendiculare e$$et planum aliquod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1377 <I>pQ,</I> $ecans planum alterum <I>pG</I> in linea ad horizontem paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1378 lela; & pondas <I>p</I> his planis <I>pQ, pG</I> $olummodo incumberet; ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1379 <pb n=15>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1380 geret illud hæc plana viribus <I>pN, HN</I> perpendiculariter, nimirun
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1381 planum <I>pQ</I> vi <I>pN,</I> & planum <I>pG</I> vi <I>HN.</I> Ideoque $i tollatur pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1382 num <I>pQ,</I> ut pondus tendat filum; quoniam filum $u$tinendo pon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1383 dus jam vicem præ$tat plani $ublati, tendetur illud eadem vi <I>pN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1384 qua planum antea urgebatur. Unde ten$io fili hujus obliqui erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1385 ad ten$ionem $ili alterius perpendicularis <I>PN,</I> ut <I>pN</I> ad <I>pH.</I> Id.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1386 eoque $i pondus <I>p</I> $it ad pondus <I>A</I> in ratione quæ componitur <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1387 ratione reciproca minimarum di$tantiarum $uorum $uorum <I>pN,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1388 AM</I> a centro rotæ, & ratione directa <I>pH</I> ad <I>pN</I>; pondera idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1389 valebunt ad rotam movendam, atque adeo $e mutuo $u$tinebunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1390 ut quilibet experiri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1391 <p>Pondus autem <I>p,</I> planis illis duobus obliquis incumbens, rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1392 habet cunei inter corporis fi$$i facies internas: & inde vires cunei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1393 & mallei innote$cunt: utpote cum vis qua pondus <I>p</I> urget planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1394 <I>pQ</I> $it ad vim, qua idem vel gravitate $ua vel ictu mallei impellitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1395 $ecundum lineam <I>pH</I> in plano, &c. ut <I>pN</I> and <I>pH</I>; atque ad vim, qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1396 urget planum alterum <I>pG,</I> ut <I>pN</I> ad <I>NH.</I> Sed & vis Cochleæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1397 $imilem virium divi$ionem colligitur; quippe quæ cuneus e$t a ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1398 cte impul$us. U$us igitur Corollarii hujus lati$$ime patet, & late
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1399 patendo veritatem $uam evincit; cum pendeat ex jam dictis Mecha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1400 nica tota ab Auctoribus diver$imode demon$trata. Ex hi$ce enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1401 facile derivantur vires Machinarum, quæ ex Rotis, Tympanis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1402 Trochleis, Vectibus, nervis ten$is & ponderibus directe vel obli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1403 que a$cendentibus, cæteri$que potentiis Mechanicis componi $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1404 lent, ut & vires Tendinum ad animalium o$$a movenda.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1405 <C>COROLLARIUM III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1406 <p><I>Quantitas motus quæ colligitur capiendo $ummam motuum factorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1407 ad eandem partem, & differentiam factorum ad contrarias, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1408 mutatur ab actione corporum inter $e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1409 <p>Etenim actio eique contraria reactio æquales $unt per Legem 111,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1410 adeoque per Legem 11 æquales in motibus efficiunt mutationes ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1411 $us contrarias partes. Ergo $i motus fiunt ad eandem partem; quic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1412 quid additur motui corporis fugientis, $ubducetur motui corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1413 in$equentis $ic, ut $umma maneat eadem quæ prius. Sin corpora ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1414 viam eant; æqualis erit $ubductio de motu utriu$que, adeoque diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1415 rentia motuum factorum in contrarias partes manebit eadem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1416 <p>Ut $i corpus $phæricum <I>A</I> $it triplo majus corpore $phærico <I>B,</I> ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1417 beatque duas velocitatis partes; & <I>B</I> $equatur in eadem recta cum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1418 <pb n=16>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1419 <MARG>TA,</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1420 locitatis partibus decem, adeoque motus ip$ius <I>A</I> $it ad motum ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1421 <I>B,</I> ut $ex ad decem: ponantur motus illis e$$e partium $ex & par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1422 tium decem, & $umma erit partium $exdecim. In corporum igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1423 concur$u, $i corpus <I>A</I> lucretur motus partes tres vel quatuor vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1424 quinque, corpus <I>B</I> amittet partes totidem, adeoque perget corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1425 <I>A</I> po$t reflexionem cum partibus novem vel decem vel undecim,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1426 & <I>B</I> cum partibus $eptem vel $ex vel quinque, exi$tente $emper $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1427 ma partium $exdecim ut prius. Si corpus <I>A</I> lucretur partes novem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1428 vel decem vel undecim vel duodecim, adeoque progrediatur po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1429 concur$um cum partibus quindecim vel $exdecim vel $eptendecim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1430 vel octodecim; corpus <I>B,</I> amittendo tot partes quot <I>A</I> lucratur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1431 vel cum una parte progredietur ami$$is partibus novem, vel qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1432 e$cet ami$$o motu $uo progre$$ivo partium decem, vel cum una par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1433 te regredietur ami$$o motu $uo & (ut ita dicam) una parte amplius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1434 vel regredietur cum partibus duabus ob detractum motum progre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1435 $ivum partium duodecim. Atque ita $ummæ motuum con$pirantium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1436 15+1 vel 16+c, & differentiæ contrariorum 17-1 & 18-2 $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1437 erunt partium $exdecim, ut ante concur$um & reflexionem. Cogni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1438 tis autem motibus quibu$cum corpora po$t reflexionem pergent, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1439 venietur cuju$que velocitas, ponendo eam e$$e ad velocitatem ante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1440 reflexionem, ut motus po$t e$t ad motum ante. Ut in ca$u ultimo, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1441 corporis <I>A</I> motus erat partium $ex ante reflexionem & partium octo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1442 decim po$tea, & velocitas partium duarum ante reflexionem; in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1443 venietur ejus velocitas partium $ex po$t reflexionem, dicendo, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1444 motus partes $ex ante reflexionem ad motus partes octodecim po$t-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1445 ea, ita velocitatis partes duæ ante reflexionem ad velocitatis partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1446 $ex po$tea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1447 <p>Quod $i corpora vel non Sphærica vel diver$is in rectis moventia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1448 incidant in $e mutuo oblique, & requirantur eorum motus po$t refle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1449 xionem; cogno$cendus e$t $itus plani a quo corpora concurrentia tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1450 guntur in puncto concur$us: dein corporis utriu$que motus (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1451 Corol.11.) di$tinguendus e$t in duos, unum huic plano perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1452 larem, alterum eidem parallelum: motus autem paralleli, propter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1453 ea quod corpora agant in $e invicem $ecundum lineam huic plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1454 perpendicularem, retinendi $unt iidem po$t reflexionem atque an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1455 tea; & motibus perpendicularibus mutationes æquales in partes con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1456 trarias tribuendæ $unt $ic, ut $umma con$pirantium & differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1457 contrariorum maneat eadem quæ prius. Ex huju$modi reflexio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1458 nibus oriri etiam $olent motus circulares corporum circa centra pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1459 pria. Sed hos ca$us in $equentibus non con$idero, & nimis longum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1460 e$$et omnia huc $pectantia demon$trare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1461 <pb n=18>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1462 <MARG>IATA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1463 VF.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1464 mutat $tatum $uum; & reliquorum, quibu$cum actio illa non in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1465 tercedit, commune gravitatis centrum nihil inde patitur; di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1466 autem horum duorum centrorum dividitur a communi corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1467 omnium centro in partes $ummis totalibus corporum quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1468 $unt centra reciproce proportionales; adeoque centris illis duobus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1469 $tatum $uum movendi vel quie$cendi $ervantibus, commune omni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1470 um centrum $ervat etiam $tatum $uum: manife$tum e$t quod com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1471 mune illud omnium centrum ob actiones binorum corporum inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1472 $e nunquam mutat $tatum $uum quoad motum & quietem. In tali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1473 autem $y$temate actiones omnes corporum inter $e, vel inter bina
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1474 $unt corpora, vel ab actionibus inter bina compo$itæ; & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1475 communi omnium centro mutationem in $tatu motus ejus vel quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1476 tis nunquam inducunt. Quare cum centrum illud ubi corpora non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1477 agunt in $e invicem, vel quie$cit, vel in recta aliqua progreditur uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1478 formiter; perget idem, non ob$tantibus corporum actionibus inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1479 $e, vel $emper quie$cere, vel $emper progredi uniformiter in dire-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1480 ctum; ni$i a viribus in $y$tema extrin$ecus impre$$is deturbetur de hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1481 $tatu. E$t igitur $y$tematis corporum plurium Lex eadem quæ cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1482 poris $olitarii, quoad per$everantiam in $tatu motus vel quietis. Mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1483 tus enim progre$$ivus $eu corporis $olitarii $eu $y$tematis corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1484 ex motu centri gravitatis æ$timari $emper debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1485 <C>COROLLARIUM V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1486 <p><I>Corporum dato $patio inclu$orum iidem $unt motus inter $e, $ive $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1487 tium illud quie$cat, $ive moveatur idem uniformiter in directum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1488 ab$que motu circulari.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1489 <p>Nam differentiæ motuum tendentium ad eandem partem, & $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1490 mæ tendentium ad contrarias, eædem $unt $ub initio in utroq; ca$u (ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1491 hypothe$i) & ex his $ummis vel differentiis oriuntur congre$$us & im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1492 petus quibus corpora $e mutuo feriunt. Ergo per Legem 11 æquales e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1493 runt congre$$uum effectus in utroq; ca$u; & propterea manebunt mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1494 tus inter $e in uno ca$u æquales motibus inter $e in altero. Idem com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1495 probatur experimento luculento. Motus omnes eodem modo $e ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1496 bent in Navi, $ive ea quie$cat, $ive moveatur uniformiter in directum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1497 <C>COROLLARIUM VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1498 <p><I>Si corpora moveãtur quomodocunq; inter$e, & a viribus acceler atrici-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1499 bus æqualibus $ecundum lineas parallelas urgeantur; pergent omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1500 eodem modo moveri inter $e, ac $i viribus illis non e$$ent incitata.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1501 <p>Nam vires illæ æqualiter (pro quantitatibus movendorum corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1502 <pb n=19>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1503 rum) & $ecundum lineas parallelas agendo, corpora omnia æquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1504 ter (quoad velocitatem) movebunt per Legem 11. adeoque nunquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1505 mutabunt po$itiones & motus eorum inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1506 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1507 <p>Hactenus principia tradidi a Mathematicis recepta & experien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1508 tia multiplici confirmata. Per Leges duas primas & Corollaria duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1509 prima <I>Galilæus</I> invenit de$cen$um Gravium e$$e in duplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1510 temporis, & motum Projectilium fieri in Parabola; con$pirante ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1511 perientia, ni$i quatenus motus illi per aeris re$i$tentiam aliquantu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1512 lum retardantur. Ab ii$dem Legibus & Corollariis pendent de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1513 mon$trata de temporibus o$cillantium Pendulorum, $uffragante Ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1514 rologiorum experientia quotidiana. Ex his ii$dem & Lege tertia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1515 <I>Chri$tophorus Wrennus</I> Eques Auratus, <I>Jobannes Walli$ius S.T.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1516 & <I>Chri$tianus Hugenius,</I> hujus ætatis Geometrarum facile prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1517 cipes, regulas congre$$uum & reflexionum duorum corporum $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1518 or$im invenerunt, & eodem fere tempore cum <I>Societate Regia</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1519 communicarunt, inter $e (quoad has leges) omnino con$pirantes:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1520 & primus quidem <I>Walli$ius,</I> deinde <I>Wrennus</I> & <I>Hugenius</I> inven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1521 tum prodiderunt. Sed & veritas comprobata e$t a <I>Wrenno</I> co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1522 ram <I>Regia Societate</I> per experimentum Pendulorum: quod etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1523 <I>Clari$$imus Mariottus</I> libro integro exponere mox dignatus e$t. Ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1524 rum, ut hoc experimentum cum Theoriis ad amu$$im congruat, ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1525 benda e$t ratio cum re$i$tentiæ aeris, tum etiam vis Ela$ticæ con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1526 currentium corporum. Pendeant corpora <I>A, B</I> filis parallelis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1527 æqualibus <I>AC, BD,</I> a centris <I>C, D.</I> His centris & intervallis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1528 $cribantur $emicirculi <I>EAF, GBH</I> radiis <I>CA, DB</I> bi$ecti. Tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1529 hatur corpus <I>A</I> ad arcus <I>EAF</I> punctum quodvis <I>R,</I> & ($ubducto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1530 corpore <I>B</I>) demittatur inde, redeatque po$t unam o$cillationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1531 ad punctum <I>V.</I> E$t <I>RV</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1532 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1533 tardatio ex re$i$tentia aeris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1534 Hujus <I>RV</I> fiat <I>ST</I> pars quar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1535 ta $ita in medio, ita $cilicet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1536 ut <I>RS</I> & <I>TV</I> æquentur, $it-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1537 que <I>RS</I> ad <I>ST</I> ut 3 ad 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1538 Et i$ta <I>ST</I> exhibebit retarda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1539 tionem in de$cen$u ab <I>S</I> ad <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1540 quam proxime. Re$tituatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1541 corpus <I>B</I> in locum $uum. Cadat corpus <I>A</I> de puncto <I>S,</I> & velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1542 citas ejus in loco reflexionis <I>A,</I> ab$que errore $en$ibili, tanta erit ae
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1543 <pb n=20>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1544 $i in vacuo cecidi$$et de loco <I>T.</I> Exponatur igitur hæc velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1545 <MARG><*>ATA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1546 VE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1547 per chordam arcus <I>TA.</I> Nam velocitatem Penduli in puncto in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1548 fimo e$$e ut chordam arcus quem cadendo de$crip$it, Propo$itio e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1549 e$t Geometris noti$$ima. Po$t reflexionem perveniat corpus <I>A</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1550 locum <I>s,</I> & corpus <I>B</I> ad locum <I>k.</I> Tollatur corpus <I>B</I> & invenia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1551 tur locus <I>v</I>; a quo $i corpus <I>A</I> demittatur & po$t unam o$cillatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1552 nem redeat ad locum <I>r,</I> $it <I>st</I> pars quarta ip$ius <I>rv</I> $ita in medio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1553 ita videlicet ut <I>rs</I> & <I>tu</I> æquentur; & per chordam arcus <I>tA</I> ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1554 ponatur velocitas quam corpus <I>A</I> proxime po$t reflexionem habuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1555 in loco <I>A.</I> Nam <I>t</I> erit locus ille vcrus & correctus, ad quem cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1556 pus <I>A,</I> $ublata aeris re$i$tentia, a$cendere debui$$et: Simili me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1557 thodo corrigendus erit locus <I>k,</I> ad quem corpus <I>B</I> a$cendit, & in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1558 veniendus locus <I>l,</I> ad quem corpus illud a$cendere debui$$et in va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1559 cuo. Hoc pacto experiri licet omnia perinde ac $i in vacuo con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1560 $tituti e$$emus. Tandem ducendum erit corpus <I>A</I> in chordam ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1561 cus <I>TA</I> (quæ velocitatem ejus exhibet) ut habeatur motus ejus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1562 loco <I>A</I> proxime ante reflexionem; deinde in chordam arcus <I>tA,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1563 habeatur motus ejus in loco <I>A</I> proxime po$t reflexionem. Et $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1564 corpus <I>B</I> ducendum erit in chordam arcus <I>Bb,</I> ut habeatur motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1565 ejus proxime po$t reflexionem. Et $imili methodo, ubi corpora duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1566 fimul demittuntur de locis diver$is, inveniendi $unt motus utriu$q;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1567 tam ante, quam po$t reflexionem; & tum demum conferendi $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1568 motus inter $e & colligendi effectus reflexionis. Hoc modo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1569 Pendulis pedum decem rem tentando, idque in corporibus tam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1570 inæqualibus quam æqualibus, & faciendo ut corpora de intervallis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1571 ampli$$imis, puta pedum octo vel duodecim vel $exdecim, concurre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1572 rent; reperi $emper $ine errore trium digitorum in men$uris, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1573 corpora $ibi mutuo directe occurrebant, quod æquales erant muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1574 tiones motuum corporibus in partes contrarias illatæ, atque adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1575 quod actio & reactio $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1576 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1577 erant æquales. Ut $i corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1578 <I>A</I> incidebat in corpus <I>B</I> cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1579 novem partibus motus, & a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1580 mi$$is $eptem partibus perge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1581 bat po$t reflexionem cum du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1582 abus; corpus <I>B</I> re$iliebat cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1583 partibus i$tis $eptem. Si cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1584 pora obviam ibant <I>A</I> cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1585 duodecim partibus & <I>B</I> cum $ex, & redibat <I>A</I> cum duabus; redi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1586 bat <I>B</I> cum octo, facta detractione partium quatuordecim utrin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1587 que. De motu ip$ius <I>A</I> $ubducantur partes duodecim, & re$tabit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1588 <pb n=21>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1589 nihil: $ubducantur aliæ partes duæ, & fiet motus duarum partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1590 in plagam contrariam: & $ic de motu corporis <I>B</I> partium $ex $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1591 ducendo partes quatuordecim, fient partes octo in plagam contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1592 riam. Quod $i corpora ibant ad eandam plagam, <I>A</I> velocius cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1593 partibus quatuordecim, & <I>B</I> tardius cum partibus quinque, & po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1594 reflexionem pergebat <I>A</I> cum quinque partibus; pergebat <I>B</I> cum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1595 tuordecim, facta tran$latione partium novem de <I>A</I> in <I>B.</I> Et $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1596 in reliquis. A congre$$u & colli$ione corporum nunquam muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1597 batur quantitas motus, quæ ex $umma motuum con$pirantium &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1598 differentia contrariorum colligebatur. Nam errorem digiti unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1599 & alterius in men$uris tribuerim difficultati peragendi $ingula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1600 $atis accurate. Difficile erat, tum pendula $imul demittere fic, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1601 corpora in $e mutuo impingerent in loco infimo <I>AB</I>; tum loca <I>s,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1602 k</I> notare, ad quæ corpora a$cendebant po$t concur$um. Sed & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1603 ip$is pilis inæqualis partium den$itas, & textura aliis de cau$is irre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1604 gularis, errores inducebant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1605 <p>Porro nequis objiciat Regulam, ad quam probandam inventum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1606 e$t hoc experimentum, præ$upponere corpora vel ab$olute dura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1607 e$$e, vel $altem perfecte ela$tica, cuju$modi nulla reperiuntur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1608 compo$itionibus naturalibus; addo quod Experimenta jam de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1609 ta $uccedunt in corporibus mollibus æque ac in duris, nimirum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1610 conditione duritiei neutiquam pendentia. Nam $i Regula illa in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1611 corporibus non perfecte duris tentanda e$t, debebit $olummodo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1612 reflexio minui in certa proportione pro quantitate vis Ela$ticæ. In
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1613 Theoria <I>Wrenni</I> & <I>Hugenii</I> corpora ab$olute dura redeunt ab invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1614 cem cum velocitate congre$$us. Certius id affirmabitur de perfecte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1615 Ela$ticis. In imperfecte Ela$ticis velocitas reditus minuenda e$t $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1616 mul cum vi Ela$tica; propterea quod vis illa; (ni$i ubi partes cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1617 porum ex congre$$u læduntur, vel exten$ionem aliqualem qua$i $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1618 malleo patiuntur,) certa ac determinata $it (quantum $entio) faci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1619 atque corpora redire ab invicem cum velocitate relativa, quæ $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1620 relativam velocitatem concur$us in data ratione. Id in pilis ex lana
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1621 arcte conglomerata & fortiter con$tricta $ic tentavi. Primum demit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1622 tendo Pendula & men$urando reflexionem, inveni quantitatem vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1623 Ela$ticæ; deinde per hanc vim determinavi reflexiones in aliis ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1624 $ibus concur$uum, & re$pondebant Experimenta. Redibant $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1625 pilæ ab invicem cum velocitate relativa, quæ e$$et ad velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1626 relativam concur$us ut 5 ad 9 circiter. Eadem fere cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1627 redibant pilæ ex chalybe: aliæ ex $ubere cum paulo minore: in vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1628 treis autem proportio erat 15 ad 16 circiter. Atque hoc pacto Lex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1629 tertia quoad ictus & reflexiones per Theoriam comprobata e$t, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1630 cum experientia plane congruit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1631 <pb n=22>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1632 <MARG><*>ATA
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1633 <*>E</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1634 <p>In Attractionibus rem $ic breviter o$tendo. Corporibus duobus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1635 quibu$vis <I>A, B</I> $e mutuo trahentibus, concipe ob$taculum quodvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1636 interponi quo congre$$us eorum impediatur. Si corpus alterutrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1637 <I>A</I> magis trahitur ver$us corpus alterum <I>B,</I> quam illud alterum <I>B</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1638 in prius <I>A,</I> ob$taculum magis urgebitur pre$$ione corporis <I>A</I> quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1639 pre$$ione corporis <I>B</I>; proindeque non manebit in æquilibrio. Præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1640 valebit pre$$io fortior, facietque ut $y$tema corporum duorum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1641 ob$taculi moveatur in directum in partes ver$us <I>B,</I> motuque in $patiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1642 liberis $emper accelerato abeat in infinitum. Quod e$t ab$urdum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1643 Legi primæ contrarium. Nam per Legem primam debebit $y$tema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1644 per$everare in $tatu $uo quie$cendi vel movendi uniformiter in di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1645 rectum, proindeque corpora æqualiter urgebunt ob$taculum, & id-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1646 circo æqualiter trahentur in invicem. Tentavi hoc in Magnete &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1647 Ferro. Si hæc in va$culis propriis $e$e contingentibus $eor$im po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1648 $ita, in aqua $tagnante juxta fluitent; neutrum propellet alterum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1649 $ed æqualitate attractionis utrinque $u$tinebunt conatus in $e mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1650 tuos, ac tandem in æquilibrio con$tituta quie$cent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1651 <p>Sic etiam gravitas inter Terram & ejus partes, mutua e$t. Se-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1652 cetur Terra <I>FI</I> plano quovis <I>EG</I> in partes duas <I>EGF</I> & <I>EGI:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1653 & æqualia erunt harum pondera in $e mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1654 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1655 tuo. Nam $i plano alio <I>HK</I> quod priori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1656 <I>EG</I> parallelum $it, pars major <I>EGI</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1657 cetur in partes duas <I>EGKH</I> & <I>HKI,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1658 quarum <I>HKI</I> æqualis $it parti prius ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1659 $ci$$æ <I>EFG:</I> manife$tum e$t quod pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1660 media <I>EGKH</I> pondere proprio in neu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1661 tram partium extremarum propendebit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1662 $ed inter utramque in æquilibrio, ut ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1663 dicam, $u$pendetur, & quie$cet. Pars autem extrema <I>HKI</I> toto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1664 $uo pondere incumbet in partem mediam, & urgebit illam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1665 partom alteram extremam <I>EGF</I>; ideoque vis qua partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1666 <I>HKI</I> & <I>EGKH</I> $umma <I>EGI</I> tendit ver$us partem tertiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1667 <I>EGF,</I> æqualis e$t ponderi partis <I>HKI,</I> id e$t ponderi partis ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1668 tiæ <I>EGF.</I> Et propterea pondera partium duarum <I>EGI, EGF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1669 in $e mutuo $unt æqualia, uti volui o$tendere. Et ni$i pondera illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1670 æqualia e$$ent, Terra tota in libero æthere fluitans ponderi majori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1671 cederet, & ab eo fugiendo abiret in infinitum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1672 <p>Ut corpora in concur$u & reflexione idem pollent, quorum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1673 locitates $unt reciproce ut vires in$itæ: $ic in movendis In$tru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1674 mentis Mechanicis agentia idem pollent & conatibus contrariis $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1675 mutuo $u$tinent, quorum velocitates $ecundum determinationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1676 <pb n=23>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1677 virium æ$timatæ, $unt reciproce ut vires. Sie pondera æquipollent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1678 ad movenda brachia Libræ, quæ o$cillante Libra $unt reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1679 eorum velocitates $ur$um & deor$um: hoc e$t, pondera, $i recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1680 a$cendunt & de$cendunt, æquipollent, quæ $unt reciproce ut pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1681 ctorum a quibus $u$penduntur di$tantiæ ab axe Libræ; $in planis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1682 obliquis alii$ve admotis ob$taculis impedi<*>a a$cendunt vel de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1683 dunt oblique, æquipollent quæ $unt reciproce ut a$cen$us & de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1684 $us, quatenus facti $ecundum perpendiculum: id adeo ob determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1685 nationem gravitatis deor$um. Similiter in Trochlea $eu Poly$pa$to
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1686 vis manus funem directe trahentis, quæ $it ad pondus vel directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1687 vel oblique a$cendens ut velocitas a$cen$us perpendicularis ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1688 locitatem manus funem trahentis, $u$tinebit pondus. In Horolo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1689 giis & $imilibus in$trumentis, quæ ex rotulis commi$$is con$tructa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1690 $unt, vires contrariæ ad motum rotularum promovendum & impe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1691 diendum, $i $unt reciproce ut velocitates partium rotularum in quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1692 imprimuntur, $u$tinebunt $e mutuo. Vis Cochleæ ad premendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1693 corpus e$t ad vim manus manubrium circumagentis, ut circularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1694 velocitas manubrii ea in parte ubi a manu urgetur, ad velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1695 progre$$ivam cochleæ ver$us corpus pre$$um. Vires quibus Cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1696 neus urget partes duas ligni fi$$i $unt ad vim mallei in cuueum, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1697 progre$$us cunei $ecundum determinationem vis a malleo in ip$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1698 impre$$æ, ad velocitatem qua partes <*>gni cedunt cuneo, $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1699 lineas faciebus cunei perpendiculares. Et par e$t ratio Machina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1700 rum omnium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1701 <p>Harum efficacia & u$us in eo $olo con$i$tit, ut diminuendo velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1702 citatem augeamus vim, & contra: Unde $olvitur in omni aptorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1703 in$trumentorum genere Problema, <I>Datum pondus data vi moven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1704 di,</I> aliamve datam re$i$tentiam vi data $uperandi. Nam $i Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1705 chinæ ita formentur, ut velocitates Agentis & Re$i$tentis $ine reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1706 proce ut vires; Agens re$i$tentiam $u$tinebit: & majori cum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1707 tatum di$paritate eandem vincet. Certe $i tanta $ic velocitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1708 di$paritas, ut vincatur etiam re$i$tentia omnis, quæ tam ex conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1709 guorum & inter $e labentium corporum attritione, quam ex con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1710 tinuorum & ab invicem $eparandorum cohæ$ione & elevandorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1711 ponderibus orirj $olet; $uperata omni ea re$i$tentia, vis redun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1712 dans accelerationem motus $ibi proportionalem, partim in parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1713 bus machinæ, partim in corpore re$i$tente producet. Ceterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1714 Mechanicam tractare non e$t hujus in$tituti. Hi$ce volui tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1715 tum o$tendere, quam late pateat quamque certa $it Lex tertia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1716 Motus. Nam $i æ$timetur Agentis actio ex ejus vi & veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1717 <pb n=24>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1718 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1719 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1720 tate conjunctim; & $imiliter Re$i$tentis reactio æ$timetur conjun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1721 ctim ex ejus partium $ingularum velocitatibus & viribus re$i$tendi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1722 ab earum attritione, cohæ$ione, pondere, & acceleratione ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1723 undis; erunt actio & reactio, in omni in$trumentorum u$u,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1724 $ibi invicem $emper æquales. Et quatenus actio propagatur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1725 in$trumentum & ultimo imprimitur in corpus omne re$i$tens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1726 ejus ultima determinatio determinationi reactionis $emper erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1727 contraria.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1728 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1729 <C>DE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1730 MOTU CORPORUM
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1731 LIBER PRIMUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1732 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1733 <C>SECTIO I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1734 <C><I>De Methodo Rationum primarum & ultimarum, cujus ope $equentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1735 demon$trantur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1736 <C>LEMMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1737 <p><I>QUantitates, ut & quantitatum rationes, quæ ad æqualitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1738 tempore quovis finito con$tanter tendunt, & ante finem tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1739 ris illius propius ad invicem accedunt quam pro data quavis diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1740 tia, fiunt ultimo æquales.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1741 <p>Si negas; fiant ultimò inequales, & $it earum ultima differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1742 <I>D.</I> Ergo nequeunt propius ad æqualitatem accedere quam pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1743 data differentia <I>D:</I> contra hypothe$in.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1744 <pb n=2>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1745 <C>LEMMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1746 <p><I>Si in Figura quavis</I> AacE, <I>rectis</I> Aa, AE <I>& curva</I> acE <I>com
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1747 preben$a, in$cribantur parallelogramma quotcunque</I> Ab, Bc, Cd
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1748 &c. <I>$ub ba$ibus</I> AB, BC, CD, &c. <I>æqualibus, & lateribu</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1749 Bb, Cc, Dd, &c. <I>Figuræ lateri</I> Aa <I>pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1750 rallelis contenta; & compleantur paral-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1751 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1752 <I>lelogramma</I> aKbl, bLcm, cMdn, &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1753 <I>Dein boru<*> parallelogr ammorum lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1754 tudo minuatur, & numerus augeatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1755 in infinitum: dico quod ultimæ rationes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1756 quas babent ad $e invicem Figura in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1757 $cripta</I> AKbLcMdD, <I>circum$cripta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1758 AalbmcndoE, <I>& curvilinea</I> AbcdE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1759 <I>$unt rationes æqualitatis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1760 <p>Nam Figuræ in$criptæ & circum$criptæ differentia e$t $umma pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1761 rallelogrammorum <I>Kl, Lm, Mn, Do,</I> hoc e$t (ob æquales om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1762 nium ba$es) rectangulum $ub unius ba$i <I>Kb</I> & altitudinum $umma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1763 <I>Aa,</I> id e$t, rectangulum <I>ABla.</I> Sed hoc rectangulum, eo quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1764 latitudo ejus <I>AB</I> in infinitum minuitur, fit minus quovis dato. Er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1765 go (per Lemma 1) Figura in$cripta & circum$cripta & multo magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1766 Figura curvilinea intermedia fiunt ultimo æquales. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1767 <C>LEMMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1768 <p><I>Eædem rationes ultimæ $unt etiam rationes æqualitatis, ubi par al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1769 lelogr ammorum latitudines</I> AB, BC, CD, &c. <I>$unt inæquales,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1770 & omnes minuuntur in infinitum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1771 <p>Sit enim <I>AF</I> æqualis latitudini maximæ, & compleatur paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1772 logrammum <I>FAaf.</I> Hoc erit majus quam differentia Figuræ in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1773 $criptæ & Figuræ circum$criptæ; at latitudine $ua <I>AF</I> in infinitum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1774 diminuta, minus fiet quam datum quodvis rectangulum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1775 <p><I>Corol.</I> 1. Hinc $umma ultima parallelogrammorum evane$centium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1776 coincidit omni ex parte cum Figura curvilinea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1777 <p><I>Corol.</I> 2. Et multo magis Figura rectilinea, quæ chordis evane$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1778 <pb n=26>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1779 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1780 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1781 centium arcuum <I>ab, bc, cd, &c.</I> comprehenditur, coincidit ultimo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1782 cum Figura curvilinea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1783 <p><I>Corol.</I> 3. Ut & Figura rectilinea circum$cripta quæ tangentibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1784 eorundem arcuum comprehenditur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1785 <p><I>Corol.</I> 4. Et propterea hæ Figuræ ultimæ (quoad perimetros <I>acE,</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1786 non $unt rectilineæ, $ed rectilinearum limites curvilinei.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1787 <C>LEMMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1788 <p><I>Si in duabus Figuris</I> AacE, PprT, <I>in$cribantur (ut $upra) duæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1789 parallelogrammorum $eries, $itque idem amborum numerus, & ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1790 latitudines in infinitum diminuuntur, rationes ultimæ parallelo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1791 grammorum in una Figura ad parallelogramma in altera, $ingulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1792 ad fingula, $int eædem; dico quod Figuræ duæ</I> AacE, PprT,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1793 <I>$unt ad invicem in eadem illa ratione.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1794 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1795 <p>Etenim ut $unt parallelogramma $ingula ad $ingula, ita (compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1796 nendo) fit $umma omnium ad $ummam omnium, & ita Figura ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1797 Figuram; exi$tente nimirum Figura priore (per Lemma 111) ad $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1798 mam priorem, & Figura po$teriore ad $ummam po$teriorem in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1799 tione æqualitatis. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1800 <p><I>Corol.</I> Hinc $i duæ cuju$cunque generis quantitates in eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1801 partium numerum utcunque dividantur; & partes illæ, ubi numerus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1802 earum augetur & magnitudo diminuitur in infinitum, datam obti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1803 neant rationem ad invicem, prima ad primam, $ecunda ad $ecundam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1804 cæteræque $uo ordine ad cæteras: erunt tota ad invicem in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1805 illa data ratione. Nam $i in Lemmatis hujus Figuris $umantur pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1806 <pb n=27>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1807 rallelogramma inter $e ut partes, $ummæ partium $emper erunt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1808 $ummæ parallelogrammorum; atque adeo, ubi partium & paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1809 logrammorum numerus augetur & magnitudo diminuitur in infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1810 tum, in ultima ratione parallelogrammi ad parallelogrammum, id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1811 e$t (per hypothe$in) in ultima ratione partis ad partem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1812 <C>LEMMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1813 <p><I>Similium Figurarum latera omnia, quæ $ibi mutuo re$pondent, $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1814 proportionalia, tam curvilinea quam rectilinea; & areæ $unt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1815 duplicata ratione laterum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1816 <C>LEMMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1817 <p><I>Si arcus quilibet po$itione datus</I> AB <I>$ub-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1818 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1819 <I>tendatur chorda</I> AB, <I>& in puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1820 aliquo</I> A, <I>in medio curvaturæ continuæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1821 tangatur a recta utrinque producta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1822 AD; <I>dein puncta</I> A, B <I>ad invicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1823 accedant & coëant; dico quod angulus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1824 BAD, <I>$ub chorda & tangente conten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1825 tus, minuetur in infinitum & ultimo e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1826 vane$cet.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1827 <p>Nam $i angulus ille non evane$cit, continebit arcus <I>AB</I> cum tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1828 gente <I>AD</I> angulum rectilineo æqualem, & propterea curvatura ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1829 ad punctum <I>A</I> non erit continua, contra hypothe$in.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1830 <C>LEMMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1831 <p><I>Ii$dem po$itis; dico quod ultima ratio arcus, chordæ, & tangentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1832 ad invicem est ratio æqualitatis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1833 <p>Nam dum punctum <I>B</I> ad punctum <I>A</I> accedit, intelligantur $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1834 <I>AB</I> & <I>AD</I> ad puncta longinqua <I>b</I> ac <I>d</I> product, & $ecanti <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1835 parallela agatur <I>bd.</I> Sitque arcus <I>Ab</I> $emper $imilis arcui <I>AB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1836 Et punctis <I>A, B</I> coeuntibus, angulus <I>dAb,</I> per Lemma $uperius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1837 evane$cet; adeoque rectæ $emper $initæ <I>Ab, Ad</I> & arcus interme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1838 dius <I>Ab</I> coincident, & propterea æquales erunt. Unde & hi$ce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1839 $emper proportionales rectæ <I>AB, AD,</I> & arcus intermedius <I>AB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1840 <pb n=28>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1841 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1842 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1843 evane$cent, & rationem ultimam habebunt æqualitatis. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1844 <p><I>Corol.</I> 1. Unde $i per <I>B</I> ducatur tangenti parallela <I>BF,</I> rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1845 quamvis <I>AF</I> per <I>A</I> tran$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1846 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1847 untem perpetuo $ecans in <I>F,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1848 hæc <I>BF</I> ultimo ad arcum e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1849 vane$centem <I>AB</I> rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1850 habebit æqualitatis, eo quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1851 completo parallelogrammo <I>AFBD</I> rationem $emper habet æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1852 litatis ad <I>AD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1853 <p><I>Corol.</I> 2. Et $i per <I>B</I> & <I>A</I> ducantur plures rectæ <I>BE, BD, AF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1854 AG,</I> $ecantes tangentem <I>AD</I> & ip$ius parallelam <I>BF</I>; ratio ulti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1855 ma ab$ci$$arum omnium <I>AD, AE, BF, BG,</I> chordæque & ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1856 cus <I>AB</I> ad invicem erit ratio æqualitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1857 <p><I>Corol.</I> 3. Et propterea hæ omnes lineæ, in omni de rationibus ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1858 timis argumentatione, pro $e invicem u$urpari po$$unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1859 <C>LEMMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1860 <p><I>Si rectæ datæ</I> AR, BR <I>cum arcu</I> AB, <I>chorda</I> AB <I>& tangente</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1861 AD, <I>triangula tria</I> ARB, ARB, ARD <I>con$tituunt, dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1862 puncta</I> A, B <I>accedunt ad invicem: dico quod ultima forma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1863 triangulorum evane$centium est $imilitudinis, & ultima ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1864 æqualitatis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1865 <p>Nam dum punctum <I>B</I> ad punctum <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1866 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1867 accedit, intelligãtur $emper <I>AB, AD, AR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1868 ad puncta longinqua <I>b, d</I> & <I>r</I> produci,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1869 ip$ique <I>RD</I> parallela agi <I>rbd,</I> & arcui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1870 <I>AB</I> $imilis $emper $it arcus <I>Ab.</I> Et coe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1871 untibus punctis <I>A, B,</I> angulus <I>bAd</I> eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1872 ne$cet, & propterea triangula tria $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1873 finita <I>rAb, rAb, rAd</I> coincident, $unt-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1874 que eo nomine $imilia & æqualia. Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1875 & hi$ce $emper $imilia & proportionalia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1876 <I>RAB, RAB, RAD</I> $ient ultimo $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1877 invicem $imilia & æqualia. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1878 <p><I>Corol.</I> Et hinc triangula illa, in omni de rationibus ultimis argu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1879 mentatione, pro $e invicem u$urpari po$$unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1880 <pb n=29>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1881 <C>LEMMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1882 <p><I>Si recta</I> AE <I>& curva</I> ABC <I>po$itione datæ $e mutuo $ecent in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1883 angulo dato</I> A, <I>& ad rectam illam in alio dato angulo ordina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1884 tim applicentur</I> BD, CE, <I>curvæ occurrentes in</I> B, C; <I>dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1885 puncta</I> B, C <I>$imul accedant ad punctum</I> A: <I>dico quod areæ tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1886 angulorum</I> ABD, ACE <I>erunt ultimo ad invicem in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1887 ratione laterum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1888 <p>Etenim dum puncta <I>B, C</I> acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1889 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1890 dunt ad punctum <I>A,</I> intelligatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1891 $emper <I>AD</I> produci ad puncta lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1892 ginqua <I>d</I> & <I>e,</I> ut $int <I>Ad, Ae</I> ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1893 $is <I>AD, AE</I> proportionales, & e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1894 rigantur ordinatæ <I>db, ec</I> ordina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1895 tis <I>DB, EC</I> parallelæ quæ occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1896 rant ip$is <I>AB, AC</I> productis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1897 <I>b</I> & <I>c.</I> Duci intelligatur, tum curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1898 <I>Abc</I> ip$i <I>ABC</I> $imilis, tum recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1899 <I>Ag,</I> quæ tangat curvam utramque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1900 in <I>A,</I> & $ecet ordinatim applica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1901 tas <I>DB, EC, db, ec</I> in <I>F, G, f, g.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1902 Tum manente longitudine <I>Ae</I> coeant puncta <I>B, C</I> cum puncto <I>A</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1903 & angulo <I>cAg</I> evane$cente, coincident areæ curvilineæ <I>Abd, Ace</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1904 cum rectilineis <I>Afd, Age:</I> adeoque (per Lemma v) erunt in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1905 cata ratione laterum <I>Ad, A<*>:</I> Sed his areis proportionales $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1906 $unt areæ <I>ABD, ACE,</I> & his lateribus latera <I>AD, AE.</I> Ergo &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1907 areæ <I>ABD, ACE</I> $unt ultimo in duplicata ratione laterum <I>AD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1908 AE. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1909 <C>LEMMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1910 <p><I>Spatia quæ corpus urgente quacunque Vi finita de$cribit, five Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1911 illa determinata & immutabilis $it, five eadem continuo auge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1912 atur vel continuo diminuatur, $unt ip$o motus initio in duplica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1913 ta ratione Temporum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1914 <p>Exponantur tempora per lineas <I>AD, AE,</I> & velocitates genitæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1915 per ordinatas <I>DB, EC</I>; & $patia his velocitatibus de$cripta, erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1916 ut areæ <I>ABD, ACE</I> his ordinatis de$criptæ, hoc e$t, ip$o motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1917 initio (per Lemma IX) in duplicata ratione remporum <I>AD, AE.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1918 Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1919 <pb n=30>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1920 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1921 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1922 <p><I>Corol.</I> 1. Et hinc facile colligitur, quod corporum $imiles $imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1923 lium Figurarum partes temporibus proportionalibus de$cribentium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1924 Errores, qui viribus quibu$vis æqualibus ad corpora $imiliter ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1925 plicatis generantur, & men$urantur per di$tantias corporum a Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1926 gurarum $imilium locis illis ad quæ corpora eadem temporibus ii$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1927 dem proportionalibus ab$que viribus i$tis pervenirent, $unt ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1928 drata temporum in quibus generantur quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1929 <p><I>Corol.</I> 2. Errores autem qui viribus proportionalibus ad $imiles
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1930 Figurarum $imilium partes $imiliter applicatis generantur, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1931 vires & quadrata temporum conjunctim.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1932 <p><I>Corol.</I> 3. Idem intelligendum e$t de $patiis quibu$vis quæ corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1933 ra urgentibus diver$is viribus de$cribunt. Hæc $unt, ip$o motus ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1934 tio, ut vires & quadrata temporum conjunctim.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1935 <p><I>Corol.</I> 4. Ideoque vires $unt ut $patia, ip$o motus initio, de$cripta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1936 directe & quadrata temporum inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1937 <p><I>Corol.</I> 5. Et quadrata temporum $unt ut de$cripta $patia directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1938 & vires inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1939 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1940 <p>Si quantitates indeterminatæ diver$orum generum conferantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1941 inter $e, & earum aliqua dicatur e$$e ut e$t alia quævis directe vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1942 inver$e: $en$us e$t, quod prior augetur vel diminuitur in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1943 ratione cum po$teriore, vel cum ejus reciproca. Et $i earum aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1944 dicatur e$$e ut $unt aliæ duæ vel plures directe vel inver$e: $en$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1945 e$t, quod prima augetur vel diminuitur in ratione quæ componitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1946 ex rationibus in quibus aliæ vel aliarum reciprocæ augentur vel di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1947 minuuntur. Ut $i A dicatur e$$e ut B directe & C directe & D in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1948 ver$e: $en$us e$t, quod A augetur vel diminuitur in eadem ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1949 cum BXCX1/D, hoc e$t, quod A & (BC/D) $unt ad invicem in ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1950 ne data.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1951 <C>LEMMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1952 <p><I>Subten$a evane$cens anguli contactus, in curvis omnibus curvatu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1953 ram finitam ad punctum contactus habentibus, est ultimo in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1954 tione duplicata $ubten$æ arcus contermini.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1955 <p><I>Ca$.</I> 1. Sit arcus ille <I>AB,</I> tangens ejus <I>AD,</I> $ubten$a anguli con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1956 tactus ad tangentem perpendicularis <I>BD,</I> $ubten$a arcus <I>AB.</I> Huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1957 $ubten$æ <I>AB</I> & tangenti <I>AD</I> perpendiculares erigantur <I>AG, BG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1958 <pb n=31>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1959 concurrentes in <I>G</I>; dein accedant puncta <I>D, B, G,</I> ad puncta <I>d, b, g,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1960 $itque <I>J</I> inter$ectio linearum <I>BG, AG</I> ultimo facta ubi puncta <I>D, B</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1961 accedunt u$que ad <I>A.</I> Manife$tum e$t quod di$tantia <I>GJ</I> minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1962 e$$e pote$t quam a$$ignata quævis. E$t autem (ex natura circulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1963 per puncta <I>ABG, Abg</I> tran$euntium) <I>ABquad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1964 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1965 æquale <I>AGXBD,</I> & <I>Ab quad.</I> æquale <I>AgXbd,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1966 adeoque ratio <I>AB quad.</I> ad <I>Ab quad.</I> compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1967 nitur ex rationibus <I>AG</I> ad <I>Ag</I> & <I>BD</I> ad <I>bd.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1968 Sed quoniam <I>GJ</I> a$$umi pote$t minor longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1969 dine quavis a$$ignata, fieri pote$t ut ratio <I>AG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1970 ad <I>Ag</I> minus differat a ratione æqualitatis quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1971 pro differentia quavis a$$ignata, adeoque ut ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1972 tio <I>AB quad.</I> ad <I>Ab quad.</I> minus differat a ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1973 tione <I>BD</I> ad <I>bd</I> quam pro differentia quavis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1974 a$$ignata. E$t ergo, per Lemma 1, ratio ultima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1975 <I>AB quad.</I> ad <I>Ab quad.</I> æqualis rationi ultimæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1976 <I>BD</I> ad <I>bd. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1977 <p><I>Cas.</I> 2. Inclinetur jam <I>BD</I> ad <I>AD</I> in angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1978 quovis dato, & eadem $emper erit ratio ultima <I>BD</I> ad <I>bd</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1979 prius, adeoque eadem ae <I>AB quad.</I> ad <I>Ab quad. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1980 <p><I>Cas.</I> 3. Et quamvis angulus <I>D</I> non detur, $ed recta <I>BD</I> ad da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1981 tum punctum convergente, vel alia quacunque lege con$tituatur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1982 tamen anguli <I>D, d</I> communi lege con$tituti ad æqualitatem $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1983 vergent & propius accedent ad invicem quam pro differentia qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1984 vis a$$ignata, adeoque ultimo æquales erunt, per Lem. <*> & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1985 terea lineæ <I>BD, bd</I> $unt in eadem ratione ad invicem ac prius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1986 <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1987 <p><I>Corol.</I> 1. Unde eum tangentes <I>AD, Ad,</I> arcus <I>AB, Ab,</I> & eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1988 rum $inus <I>BC, bc</I> fiant ultimo chordis <I>AB, Ab</I> æquales; erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1989 etiam illorum quadrata ultimo ut $ubten$æ <I>BD, bd.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1990 <p><I>Corol.</I> 2. Eorundem quadrata $unt etiam ultimo ut $unt arcuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1991 $agittæ quæ chordas bi$ecant & ad datum punctum conver gunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1992 Nam $agittæ illæ $unt ut $ubten$æ <I>BD, bd.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1993 <p><I>Corol.</I> 3. Ideoque $agitta e$t in duplicata ratione temporis quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1994 corpus data velocitate de$cribit arcum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1995 <p><I>Corol.</I> 4. Triangula rectilinea <I>ADB, Adb</I> $unt ultimo in tripli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1996 cata ratione laterum <I>AD, Ad,</I> inque $e$quiplicata laterum <I>DB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1997 db</I>; utpote in compo$ita ratione laterum <I>AD,</I> & <I>DB, Ad</I> & <I>db</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1998 exi$tentia. Sic & triangula <I>ABC, Abc</I> $unt ultimo in triplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	1999 ratione laterum <I>BC, bc.</I> Rationem vero Se$quiplicatam voco tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2000 plicatæ $ubduplicatam, quæ nempe ex $implici & $ubduplicata com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2001 ponitur, quamque alias Se$quialteram dicunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2002 <pb n=32>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2003 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2004 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2005 <p><I>Corol.</I> 5. Et quoniam <I>DB, db</I> $unt ultimo parallelæ & in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2006 cata ratione ip$arum <I>AD, Ad:</I> erunt areæ ultimæ curvilineæ <I>ADB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2007 Adb</I> (ex natura Parabolæ) duæ tertiæ partes triangulorum rectili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2008 neorum <I>ADB, Adb</I>; & $egmenta <I>AB, Ab</I> partes tertiæ eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2009 rundem triangulorum. Et inde hæ areæ & hæc $egmenta erunt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2010 triplicata ratione tum tangentium <I>AD, Ad</I>; tum chordarum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2011 arcuum <I>AB, Ab.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2012 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2013 <p>Cæterum in his omnibus $upponimus angulum contactus nec in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2014 finite majorem e$$e angulis contactuum, quos Circuli continent cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2015 tangentibus $uis, nec ii$dem infinite minorem; hoc e$t, curvaturam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2016 ad punctum <I>A,</I> nec infinite parvam e$$e nec infinite magnam, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2017 intervallum <I>AJ</I> finitæ e$$e magnitudinis. Capi enim pote$t <I>DB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2018 ut <I>AD<SUP>3</SUP>:</I> quo in ca$u Circulus nullus per punctum <I>A</I> inter tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2019 tem <I>AD</I> & curvam <I>AB</I> duci pote$t, proindeque angulus contactus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2020 erit infinite minor Circularibus. Et $imili argumento $i fiat <I>DB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2021 $ucce$$ive ut <I>AD</I><SUP>4</SUP>, <I>AD</I><SUP>5</SUP>, <I>AD</I><SUP>6</SUP>, <I>AD</I><SUP>7</SUP>, &c. habebitur $eries an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2022 gulorum contactus pergens in infinitum, quorum quilibet po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2023 rior e$t infinite minor priore. Et $i fiat <I>DB</I> $ucce$$ive ut <I>AD</I><SUP>2</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2024 <I>AD</I>3/2, <I>AD</I>4/3, <I>AD</I>5/4, <I>AD</I>6/5, <I>AD</I>7/6, &c. habebitur alia $eries infinita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2025 angulorum contactus, quorum primus e$t eju$dem generis cum Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2026 cularibus, $ecundus infinite major, & quilibet po$terior infinite ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2027 jor priore. Sed & inter duos quo$vis ex his angulis pote$t $eries
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2028 utrinque in infinitum pergens angulorum intermediorum in$eri,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2029 quorum quilibet po$terior erit infinite major minorve priore. Ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2030 $i inter terminos <I>AD</I><SUP>2</SUP> & <I>AD</I><SUP>3</SUP> in$eratur $eries <I>AD</I>(13/6), <I>AD</I>(1<*>/5),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2031 <I>AD</I>9/4, <I>AD</I>7/3, <I>AD</I>5/2, <I>AD</I><*>/3, <I>AD</I>(11/4), <I>AD</I>(14/5), <I>AD</I>(17/6), &c. Et rur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2032 $us inter binos quo$vis angulos hujus $eriei in$eri pote$t $eries no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2033 va angulorum intermediorum ab invicem infinitis intervallis diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2034 rentium. Neque novit natura limitem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2035 <p>Quæ de curvis lineis deque $uperficiebus comprehen$is demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2036 $trata $unt, facile applicantur ad $olidorum $uperficies curvas &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2037 contenta. Præmi$i vero hæc Lemmata, ut effugerem tædium dedu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2038 cendi perplexas demon$trationes, more veterum Geometrarum, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2039 ab$urdum. Contractiores enim redduntur demon$trationes per me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2040 thodum Indivi$ibilium. Sed quoniam durior e$t Indivi$ibilium hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2041 pothe$is, & propterea methodus illa minus Geometrica cen$etur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2042 malui demon$trationes rerum $equentium ad ultimas quantitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2043 <pb n=33>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2044 evane$centium $ummas & rationes, prima$que na$centium, id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2045 ad limites $ummarum & rationum deducere; & propterea limitum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2046 illorum demon$trationes qua potui brevitate præmittere. His enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2047 idem præ$tatur quod per methodum Indivi$ibilium; & principiis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2048 mon$tratis jam tutius utemur. Proinde in $equentibus, $iquando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2049 quantitates tanquam ex particulis con$tantes con$ideravero, vel $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2050 pro rectis u$urpavero lineolas curvas; nolim indivi$ibilia, $ed eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2051 ne$centia divi$ibilia, non $ummas & rationes partium determinata-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2052 rum, $ed $ummarum & rationum limites $emper intelligi; vimque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2053 talium demon$trationum ad methodum præcedentium Lemmatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2054 $emper revocari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2055 <p>Objectio e$t, quod quantitatum evane$centium nulla $it ultima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2056 proportio; quippe quæ, antequam evanuerunt, non e$t ultima, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2057 evanuerunt, nulla e$t. Sed & eodem argumento æque contendi po$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2058 nullam e$$e corporis ad certum locum pervenientis velocitatem ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2059 timam: hanc enim, antequam corpus attingit locum, non e$$e ulti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2060 mam, ubiattingit, nullam e$$e. Et re$pon$io facilis e$t: Per velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2061 tem ultimam intelligi eam, qua corpus movetur neque antequam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2062 attingit locum ultimum & motus ce$$at, neque po$tea, $ed tunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2063 cum attingit; id e$t, illam ip$am velocitatem quacum corpus attin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2064 git locum ultimum & quacum motus ce$$at. Et $imiliter per ulti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2065 mam rationem quantitatum evane$centium, intelligendam e$$e ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2066 nem quantitatum non antequam evane$cunt, non po$tea, $ed qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2067 cum evane$cunt. Pariter & ratio prima na$centium e$t ratio qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2068 cum na$cuntur. Et $umma prima & ultima e$t quacum e$$e (vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2069 augeri & minui) incipiunt & ce$$ant. Extat limes quem velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2070 in fine motus attingere pote$t, non autem tran$gredi. Hæc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2071 velocitas ultima. Et par e$t ratio limitis quantitatum & propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2072 tionum omnium incipientium & ce$$antium. Cumque hic limes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2073 $it certus & definitus, Problema e$t vere Geometricum eundem de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2074 terminare. Geometrica vero omnia in aliis Geometricis determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2075 nandis ac demon$trandis legitime u$urpantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2076 <p>Contendi etiam pote$t, quod $i dentur ultimæ quantitatum eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2077 ne$centium rationes, dabuntur & ultimæ magnitudines: & $ic quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2078 titas omnis con$tabit ex Indivi$ibilibus, contra quam <I>Euclides</I> de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2079 Incommen$urabilibus, in libro decimo Elementorum, demon$travit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2080 Verum hæc Objectio fal$æ innititur hypothe$i. Ultimæ rationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2081 illæ quibu$cum quantitates evane$cunt, revera non $unt rationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2082 quantitatum ultimarum, $ed limites ad quos quantitatum $ine limi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2083 te decre$centium rationes $emper appropinquant; & quas propius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2084 a$$equi po$$unt quam pro data quavis differentia, nunquam vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2085 <pb n=34>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2086 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2087 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2088 tran$gredi, neque prius attingere quam quantitates diminuuntur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2089 infinitum. Res clarius intelligetur in infinite magnis. Si quantitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2090 duæ quarum data e$t differentia auges ntur in infinitum, dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2091 harum ultima ratio, nimirum ratio æqualitatis, nec tamen ideo da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2092 buntur quantitates ultimæ $eu maximæ quarum i$ta e$t ratio. Igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2093 in $equentibus, $iquando facili rerum conceptui con$ulens dixero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2094 quantitates quam minimas, vel evane$centes, vel ultimas; cave in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2095 telligas quantitates magnitudine determinatas, $ed cogita $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2096 diminuendas $ine limite.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2097 <C>SECTIO II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2098 <C><I>De Inventione Virium Centripetarum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2099 <C>PROPOSITIO I. THE OREMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2100 <p><I>Areas, quas corpora in gyros acta radiis ad immobile centrum virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2101 ductis de$cribunt, & in planis immobilibus con$i$tere, & e$$e tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2102 poribus proportionales.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2103 <p>Dividatur tempus in partes æquales, & prima temporis parte de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2104 $eribat corpus vi in$ita rectam <I>AB.</I> Idem $ecunda temporis parte, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2105 nil impediret, recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2106 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2107 pergeret ad <I>c,</I> (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2108 Leg. 1.) de$cribens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2109 lineam <I>Bc</I> æqualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2110 ip$i <I>AB</I>; adeo ut ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2111 diis <I>AS, BS, cS</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2112 centrum actis, con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2113 fectæ forent æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2114 les areæ <I>ASB, BSc.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2115 Verum ubi corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2116 venitad <I>B,</I> agat vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2117 centripeta impul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2118 $u unico $ed mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2119 no, efficiatque ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2120 corpus de recta <I>Bc</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2121 declinet & pergat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2122 in recta <I>BC.</I> Ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2123 <I>BS</I> parallela agatur <I>cC,</I> occurens <I>BC</I> in <I>C</I>; & completa $ecunda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2124 temporis parte, corpus (per Legum Corol. 1.) reperietur in <I>C,</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2125 <pb n=35>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2126 eodem plano cum triangulo <I>ASB.</I> Junge <I>SC</I>; & triangulum <I>SBC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2127 ob parallelas <I>SB, Cc,</I> æquale erit triangulo <I>SBc,</I> atque adeo etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2128 triangulo <I>SAB.</I> Simili argumento $i vis centripeta $ucce$$ive agat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2129 in <I>C, D, E,</I> &c. faciens ut corpus $ingulis temporis particulis $in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2130 gulas de$eribat rectas <I>CD, DE, EF,</I> &c. jacebunt hæ omnes in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2131 eodem plano; & triangulum <I>SCD</I> triangulo <I>SBC,</I> & <I>SDE</I> ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2132 <I>SCD,</I> & <I>SEF</I> ip$i <I>SDE</I> æquale erit. Æqualibus igitur tempori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2133 bus æquales areæ in plano immoto de$cribuntur: & componendo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2134 $unt arearum $ummæ quævis <I>SADS, SAFS</I> inter $e, ut $unt tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2135 pora de$criptionum. Augeatur jam numerus & minuatur latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2136 triangulorum in infinitum; & eorum ultima perimeter <I>ADF,</I> (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2137 Corollarium quartum Lemmatis tertii) erit linea curva: adeoque vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2138 centripeta, qua corpus a tangente hujus curvæ perpetuo retrahitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2139 aget inde$inenter; areæ vero quævis de$criptæ <I>SADS, SAFS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2140 temporibus de$criptionum $emper proportionales, erunt ii$dem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2141 poribus in hoc ca$u proportionales. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2142 <p><I>Corol.</I> 1. Velocitas corporis in centrum immobile attracti e$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2143 $patiis non re$i$tentibus reciproce ut perpendiculum a centro illo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2144 Orbis tangentem rectilineam demi$$um. E$t enim velocitas in locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2145 illis <I>A, B, C, D, E,</I> ut $unt ba$es æqualium triangulorum <I>AB, BC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2146 CD, DE, EF</I>; & hæ ba$es $unt reciproce ut perpendicula in ip$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2147 demi$$a.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2148 <p><I>Corol.</I> 2. Si arcuum duorum æqualibus temporibus in $patiis non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2149 re$i$tentibus ab eodem corpore $ucce$$ive de$criptorum chordæ <I>AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2150 BC</I> compleantur in parallelogrammum <I>ABCU,</I> & hujus diagona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2151 lis <I>BU</I> in ea po$itione quam ultimo habet ubi arcus illi in infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2152 tum diminuuntur, producatur utrinque; tran$ibit eadem per cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2153 trum virium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2154 <p><I>Corol.</I> 3. Si arcuum æqualibus temporibus in $patiis non re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2155 tibus de$criptorum chordæ <I>AB, BC</I> ac <I>DE, EF</I> compleantur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2156 parallelogramma <I>ABCU, DEFZ</I>; vires in <I>B</I> & <I>E</I> $unt ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2157 cem in ultima ratione diagonalium <I>BU, EZ,</I> ubi arcus i$ti in infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2158 nitum diminuuntur. Nam corporis motus <I>BC</I> & <I>EF</I> componun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2159 tur (per Legum Corol. 1.) ex motibus <I>Bc, BU</I> & <I>Ef, EZ:</I> at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2160 qui <I>BU</I> & <I>EZ,</I> ip$is <I>Cc</I> & <I>Ff</I> æquales, in Demon$tratione Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2161 po$itionis hujus generabantur ab impul$ibus vis centripetæ in B &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2162 <I>E,</I> ideoque $unt his impul$ibus proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2163 <p><I>Corol.</I> 4. Vires quibus corpora quælibet in $patiis non re$i$tenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2164 bus a motibus rectilineis retrahuntur ac detorquentur in orbes cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2165 vos $unt inter $e ut arcuum æqualibus temporibus de$criptorum $a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2166 gittæ illæ quæ convergunt ad centrum virium, & chordas bi$ecant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2167 <pb n=36>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2168 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2169 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2170 ubi arcus illi in infinitum diminuuntur. Nam hæ $agittæ $unt $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2171 mi$$es diagonalium de quibus egimus in Corollario tertio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2172 <p><I>Corol.</I> 5. Ideoque vires eædem $unt ad vim gravitatis, ut hæ $a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2173 gittæ ad $agittas horizonti perpendiculares arcuum Parabolicorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2174 quos projectilia eodem tempore de$cribunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2175 <p><I>Corol.</I> 6. Eadem omnia obtinent per Legum Corol. IV, ubi plana
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2176 in quibus corpora moventur, una cum centris virium quæ in ip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2177 fita $unt, non quie$cunt, $ed moventur uniformiter in directum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2178 <C>PROPOSITIO II. THEOREMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2179 <p><I>Corpus omne, quod movetur in linea aliqua curva in plano de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2180 $cripta, & radio ducto ad punctum vel immobile, vel motu rectili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2181 neo uniformiter progrediens, de$cribit areas circa punctum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2182 temporibus proportionales, urgetur a vi centripeta tendente ad idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2183 punctum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2184 <p><I>Cas.</I> 1. Nam corpus omne quod movetur in linea curva, detor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2185 quetur de cur$u rectilineo per vim aliquam in ip$um agentem (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2186 Leg. 1.) Et vis illa qua corpus de cur$u rectilineo detorquetur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2187 cogitur triangula quam minima <I>SAB, SBC, SCD,</I> &c. circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2188 punctum immobile <I>S</I> temporibus æqualibus æqualia de$cribere, a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2189 git in loco <I>B</I> $ecundum lineam parallelam ip$i <I>cC</I> (per Prop. XL,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2190 Lib. 1 Elem. & Leg. 11.) hoc e$t, $ecundum lineam <I>BS</I>; & in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2191 <I>C</I> $ecundum lineam ip$i <I>dD</I> parallelam, hoc e$t, $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2192 <I>SC,</I> &c. Agit ergo $emper $ecundum lineas tendentes ad punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2193 illud immobile <I>S. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2194 <p><I>Cas.</I> 2. Et, per Legum Corollarium quintum, perinde e$t $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2195 quie$cat $uperficies in qua corpus de$cribit figuram curvilineam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2196 $ive moveatur eadem una cum corpore, figura de$cripta, & puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2197 $uo <I>S</I> uniformiter in directum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2198 <p><I>Corol.</I> 1. In Spatiis vel Mediis non re$i$tentibus, $i areæ non $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2199 temporibus proportionales, vires non tendunt ad concur$um radio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2200 rum; $ed inde declinant in con$equentia $eu ver$us plagam in quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2201 fit motus, $i modo arearum de$criptio acceleratur: $in retardatur, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2202 clinant in antecedentia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2203 <p><I>Corol.</I> 2. In Mediis etiam re$i$tentibus, $i arearum de$criptio accele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2204 ratur, virium directiones declinant a concur$u radiorum ver$us plagam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2205 in quam $it motus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2206 <pb n=37>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2207 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2208 <p>Urgeri pote$t corpus a vi centripeta compo$ita ex pluribus viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2209 bus. In hoc ca$u $en$us Propo$itionis e$t, quod vis illa quæ ex om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2210 nibus componitur, tendit ad punctum <I>S.</I> Porro $i vis aliqua agat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2211 perpetuo $ecundum lineam $uperficiei de$criptæ perpendicularem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2212 hæc faciet ut corpus deflectatur a plano $ui motus: $ed quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2213 tem $uperficiei de$criptæ nec augebit nec minuet, & propterea in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2214 compo$itione virium negligenda e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2215 <C>PROPOSITIO III. THEOREMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2216 <p><I>Corpus omne, quod radio ad centrum corporis alterius utcunque moti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2217 ducto de$cribit areas circa centrum illud temporibus proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2218 les, urgetur vi compo$ita ex vi centripeta tendente ad corpus il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2219 lud alterum, & ex vi omni acceleratrice qua corpus illud alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2220 urgetur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2221 <p>Sit corpus primum <I>L</I> & corpus alterum <I>T:</I> & (per Legum Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2222 VI.) $i vi nova, quæ æqualis & contraria $it illi qua corpus alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2223 <I>T</I> urgetur, urgeatur corpus utrumque $ecundum lineas parallelas;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2224 perget corpus primum <I>L</I> de$cribere circa corpus alterum <I>T</I> areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2225 ea$dem ac prius: vis autem, qua corpus alterum <I>T</I> urgebatur, jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2226 de$truetur per vim $ibi æqualem & contrariam; & propterea (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2227 Leg. 1.) corpus illud alterum <I>T</I> $ibimet ip$i jam relictum vel qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2228 e$cet vel movebitur uniformiter in directum: & corpus primum <I>L</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2229 urgente differentia virium, id e$t, urgente vi reliqua perget areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2230 temporibus proportionales circa corpus alterum <I>T</I> de$cribere. Ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2231 dit igitur (per Theor. 11.) differentia virium ad corpus illud alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2232 rum <I>T</I> ut centrum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2233 <p><I>Corol.</I> 1. Hinc $i corpus unum <I>L</I> radio ad alterum <I>T</I> ducto de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2234 $cribit areas temporibus proportionales; atque de vi tota ($ive $im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2235 plici, $ive ex viribus pluribus, juxta Legum Corollarium $ecundum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2236 compo$ita,) qua corpus prius <I>L</I> urgetur, $ubducatur (per idem Le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2237 gum Corollarium) vis tota acceleratrix qua corpus alterum urgetur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2238 vis omnis reliqua qua corpus prius urgetur tendet ad corpus alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2239 rum <I>T</I> ut centrum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2240 <p><I>Corol.</I> 2. Et, $i areæ illæ $unt temporibus quamproxime propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2241 tionales, vis reliqua tendet ad corpus alterum <I>T</I> quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2242 <p><I>Corol.</I> 3. Et vice ver$a, $i vis reliqua tendit quamproxime ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2243 <pb n=38>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2244 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2245 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2246 corpus alterum <I>T,</I> erunt areæ illæ temporibus quamproxime pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2247 portionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2248 <p><I>Corol.</I> 4. Si corpus <I>L</I> radio ad alterum corpus <I>T</I> ducto de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2249 bit areas quæ, cum temporibus collatæ, $unt valde inæquales; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2250 corpus illud alterum <I>T</I> vel quie$cit vel movetur uniformiter in di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2251 rectum: actio vis centripetæ ad corpus illud alterum <I>T</I> tendentis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2252 vel nulla e$t, vel mi$cetur & componitur cum actionibus admodum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2253 potentibus aliarum virium: Vi$que tota ex omnibus, $i plures $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2254 vires, compo$ita, ad aliud ($ive immobile $ive mobile) centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2255 dirigitur. Idem obtinet, ubi corpus alterum motu quocunque mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2256 vetur; $i modo vis centripeta $umatur, quæ re$tat po$t $ubductio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2257 nem vis totius in corpus illud alterum <I>T</I> agentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2258 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2259 <p>Quoniam æquabilis arearum de$criptio Index e$t Centri, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2260 vis illa re$picit qua corpus maxime afficitur, quaque retrahitur a mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2261 tu rectilineo & in orbita $ua retinetur: quidni u$urpemus in $equen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2262 tibus æquabilem arearum de$criptionem, ut Indicem Centri circum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2263 quod motus omnis circularis in $patiis liberis peragitur?
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2264 <C>PROPOSITIO IV. THEOREMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2265 <p><I>Corporum, quæ diver$os circulos æquabili motu de$cribunt, vires cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2266 tripetas ad centra eorundem circulorum tendere; & e$$e inter $e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2267 ut $unt arcuum $imul de$criptorum quadrata applicata ad circulo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2268 rum radios.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2269 <p>Tendunt hæ vires ad centra circulorum per Prop.II. & Corol. II.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2270 Prop. 1; & $unt inter $e ut arcuum æqualibus temporibus quam mini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2271 mis de$criptorum $inus ver$i per Corol. IV. Prop. I; hoc e$t, ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2272 drata arcuum eorundem ad diametros circulorum applicata per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2273 Lem. VII: & propterea, cum hi arcus $int ut arcus temporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2274 quibu$vis æqualibus de$cripti, & diametri $int ut eorum radii; vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2275 res erunt ut arcuum quorumvis $imul de$criptorum quadrata ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2276 plicata ad radios circulorum. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2277 <p><I>Corol.</I> 1. Igitur, cum arcus illi $int ut velocitates corporum, vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2278 res centripetæ $unt ut velocitatum quadrata applicata ad radios
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2279 circulorum: hoc e$t, ut cum Geometris loquar, vires $unt in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2280 tione compo$ita ex duplicata ratione velocitatum directe & ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2281 $implici radiorum inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2282 <pb n=39>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2283 <p><I>Corol.</I> 2. Et, cum tempora periodica $int in ratione compo$ita ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2284 ratione radiorum directe & ratione velocitatum inver$e, vires cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2285 tripetæ $unt reciproce ut quadrata temporum periodicorum appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2286 cata ad circulorum radios; hoc e$t, in ratione compo$ita ex ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2287 radiorum directe & ratione duplicata temporum periodicorum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2288 ver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2289 <p><I>Corol.</I> 3. Unde, $i tempora periodica æquentur & propterea ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2290 locitates $int ut radii; erunt etiam vires centripetæ ut radii: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2291 contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2292 <p><I>Cor.</I> 4. Si & tempora periodica & velocitates $int in ratione $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2293 duplicata radiorum; æquales erunt vires centripetæ inter $e: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2294 contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2295 <p><I>Corol.</I> 5. Si tempora periodica $int ut radii & propterea veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2296 tates æquales; vires centriperæ erunt reciproce ut radii: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2297 <p><I>Corol.</I> 6. Si tempora periodica $int in ratione $e$quiplicata radio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2298 rum & propterea velocitates reciproce in radiorum ratione $ubdu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2299 plicata; vires centripetæ erunt reciproce ut quadrata radiorum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2300 & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2301 <p><I>Corol.</I> 7. Et univer$aliter, $i tempus periodicum $it ut Radii <I>R</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2302 pote$tas quælibet <I>R<SUP>n</SUP>,</I> & propterea velocitas reciproce ut Radii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2303 pote$tas <I>R<SUP>n-1</SUP></I>; erit vis centripeta reciproce ut Radii pote$tas <I>R<SUP>2n-1</SUP>:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2304 & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2305 <p><I>Corol.</I> 8. Eadem omnia de temporibus, velocitatibus, & viribus, qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2306 bus corpora $imiles figurarum quarumcunque $imilium, centraque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2307 in figuris illis $imiliter po$ita habentium, partes de$cribunt, con$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2308 quuntur ex Demon$tratione præcedentium ad ho$ce ca$us applicata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2309 Applicatur autem $ub$tituendo æquabilem arearum de$criptionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2310 pro æquabili motu, & di$tantias corporum a centris pro radiis u$ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2311 pando.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2312 <p><I>Corol.</I> 9. Ex eadem demon$tratione con$equitur etiam; quod ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2313 cus, quem corpus in circulo data vi centripeta uniformiter revolven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2314 do tempore quovis de$cribit, medius e$t proportionalis inter dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2315 metrum circuli, & de$cen$um corporis eadem data vi eodem que tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2316 pore cadendo confectum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2317 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2318 <p>Ca$us Corollarii $exti obtinet in corporibus cæle$tibus, (ut $eor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2319 $um collegerunt etiam no$trates <I>Wrennus, Hookius</I> & <I>Hallæus</I>) &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2320 propterea quæ $pectant ad vim centripetam decre$centem in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2321 cata ratione di$tantiarum a centris, decrevi fu$ius in $equentibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2322 exponere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2323 <pb n=40>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2324 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2325 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2326 <p>Porro præcedentis propo$itionis & corollariorum ejus beneficio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2327 colligitur etiam proportio vis centripetæ ad vim quamlibet notam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2328 qualis e$t ea Gravitatis. Nam $i corpus in circulo Terræ concen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2329 trico vi gravitatis $uæ revolvatur, hæc gravitas e$t ip$ius vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2330 peta. Datur autem, ex de$cen$u gravium, & tempus revolutionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2331 unius, & arcus dato quovis tempore de$criptus, per hujus Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2332 IX. Et huju$modi propo$itionibus <I>Hugenius,</I> in eximio $uo Tracta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2333 tu <I>de Horologio O$cillatorio,</I> vim gravitatis cum revolventium vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2334 ribus centrifugis contulit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2335 <p>Demon$trari etiam po$$unt præcedentia in hunc modum. In cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2336 culo quovis de$cribi intelligatur Polygonum laterum quotcunque.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2337 Et $i corpus, in polygoni lateribus data cum velocitate movendo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2338 ad ejus angulos $ingulos a circulo reflectatur; vis qua $ingulis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2339 flexionibus impingit in circulum erit ut ejus velocitas: adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2340 $umma virium in dato tempore erit ut velocitas illa & numerus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2341 flexionum conjunctim: hoc e$t ($i polygonum detur $pecie) ut longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2342 tudo dato illo tempore de$cripta & longitudo eadem applicata ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2343 Radium circuli; id e$t, ut quadratum longitudinis illius applicatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2344 ad Radium: adeoque, $i polygonum lateribus infinite diminutis co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2345 incidat cum circulo, ut quadratum arcus dato tempore de$cripti ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2346 plicatum ad radium. Hæc e$t vis centrifuga, qua corpus urget cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2347 culum: & huic æqualis e$t vis contraria, qua circulus continuo re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2348 pellit corpus centrum ver$us.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2349 <C>PROPOSITIO. V. PROBLEMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2350 <p><I>Data quibu$cunque in locis velocitate, qua corpus figuram datam vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2351 ribus ad commune aliquod centrum tendentibus de$cribit, centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2352 illud invenire.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2353 <p>Figuram de$criptam tangant rectæ tres <I>PT, TQV, VR</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2354 punctis totidem <I>P, Q, R,</I> concurrentes in <I>T</I> & <I>V.</I> Ad tangentes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2355 erigantur perpendicula <I>PA, QB, RC,</I> velocitatibus corporis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2356 punctis illis <I>P, Q, R</I> a quibus eriguntur reciproce proportionalia;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2357 id e$t, ita ut $it <I>PA</I> ad <I>QB</I> ut velocitas in <I>Q</I> ad velocitatem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2358 <I>P,</I> & <I>QB</I> ad <I>RC</I> ut velocitas in <I>R</I> ad velocitatem in <I>Q.</I> Per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2359 perpendiculorum terminos <I>A, B, C</I> ad angulos rectos ducantur <I>AD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2360 DBE, EC</I> concurrentes in <I>D</I> & <I>E:</I> Et actæ <I>TD, VE</I> concur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2361 rent in centro q<*>$ito <I>S.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2362 <pb n=41>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2363 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2364 <p>Nam perpendicula a centro <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2365 in tangentes <I>PT, QT</I> demi$$a (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2366 Corol. 1. Prop.I.) $unt reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2367 ut velocitates corporis in punctis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2368 <I>P</I> & <I>V</I>; &c. adeoque per con$tructio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2369 nem ut perpendicula <I>AP, BQ</I> di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2370 recte, id e$t ut perpendicula a pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2371 cto <I>D</I> in tangentes demi$$a. Un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2372 de facile colligitur quod puncta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2373 <I>S, D, T,</I> $unt in una recta. Et $imili
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2374 argumento puncta <I>S, E, V</I> $unt eti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2375 am in una recta; & propterea centrum <I>S</I> in concur$u rectarum <I>TD, VE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2376 ver$atur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2377 <C>PROPOSITIO VI. THEOREMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2378 <p><I>Si corpus in $patio non re$i$tente circa centrum immobile in Orbe quocun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2379 que revolvatur, & arcum quemvis jamjam na$centem tempore quàm
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2380 minimo de$cribat, & $agitta arcus duci intelligatur quæ chor dam bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2381 $ecet, & producta tran$eat per centrum virium: erit vis centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2382 in medio arcus, ut $agitta directe & tempus bis inver$e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2383 <p>Nam $agitta dato tempore e$t ut vis (per Corol.4 Prop.I,) & augen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2384 do tempus in ratione quavis, ob auctum arcum in eadem ratione $a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2385 gitta augetur in ratione illa duplicata (per Corol. 2 & 3, Lem. XI,) ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2386 eoque e$t ut vis $emel & tempus bis. Subducatur duplicata ratio tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2387 ris utrinque, & fiet vis ut $agitta directe & tempus bis inver$e. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2388 <p>Idem facile demon$tratur etiam per Corol. 4 Lem. X.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2389 <p><I>Corol.</I> 1. Si corpus <I>P</I> revolvendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2390 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2391 circa centrum <I>S</I> de$cribat lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2392 curvam <I>APQ,</I> tangat verò recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2393 <I>ZPR</I> curvam illam in puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2394 quovis <I>P,</I> & ad tangentem ab alio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2395 quovis Curvæ puncto <I>Q</I> agatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2396 <I>QR</I> di$tantiæ <I>SP</I> parallela, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2397 demittatur <I>QT</I> perpendicularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2398 ad di$tantiam illam <I>SP:</I> vis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2399 tripeta erit reciproce ut $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2400 (<I>SP quad.XQT quad./QR</I>) $i modo $olidi illius ea $emper $umatur quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2401 titas, quæ ultimò fit ubi coeunt puncta <I>P</I> & <I>Q.</I> Nam <I>QR</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2402 <pb n=42>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2403 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2404 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2405 e$t $agittæ dupli arcus <I>QP,</I> in cujus medio e$t <I>P,</I> & duplum trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2406 guli <I>SQP</I> $ive <I>SPXQT,</I> tempori quo arcus i$te duplus de$cribitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2407 proportionale e$t, ideoque pro temporis exponente $cribi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2408 <p><I>Corol.</I> 2. Eodem argumento vis centripeta e$t reciprocè ut $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2409 (<I>SYqXQPq/QR</I>), $i modo <I>SY</I> perpendiculum $it a centro virium in Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2410 bis tangentem <I>PR</I> demi$$um. Nam rectangula <I>SYXQP</I> & <I>SPXQT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2411 æquantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2412 <p><I>Corol.</I> 3. Si Orbis vel circulus e$t, vel angulum contactus cum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2413 culo quam minimum continet, eandem habens curvaturam eundem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2414 que radium curvaturæ ad punctum contactus <I>P</I>; & $i <I>PV</I> chorda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2415 $it circuli hujus a corpore per centrum virium acta: erit vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2416 peta reciproce ut $olidum <I>SYqXPV.</I> Nam <I>PV</I> e$t (<I>QPq/QR</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2417 <p><I>Corol.</I> 4. Ii$dem po$itis, e$t vis centripeta ut velocitas bis directe,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2418 & chorda illa inver$e. Nam velocitas e$t reciproce ut perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2419 lum <I>SY</I> per Corol. I Prop. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2420 <p><I>Corol.</I> 5. Hinc $i detur figura quævis curvilinea <I>APQ,</I> & in ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2421 detur etiam punctum <I>S</I> ad quod vis centripeta perpetuo dirigitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2422 inveniri pote$t lex vis centripetæ, qua corpus quodvis <I>P</I> a cur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2423 rectilineo perpetuò retractum in figuræ illius perimetro detinebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2424 eamque revolvendo de$cribet. Nimirum computandum e$t vel $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2425 lidum (<I>SPqXQTq/QR</I>) vel $olidum <I>SYqXPV</I> huic vi reciproce pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2426 portionale. Ejus rei dabimus exempla in Problematis $equentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2427 <C>PROPOSITIO VII. PROBLEMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2428 <C><I>Gyretur corpus in circumferentia Circuli, requiritur Lex vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2429 petæ tendentis ad punctum quodcunque datum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2430 <p>E$to Circuli circumferentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2431 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2432 <I>VQPA,</I> punctum datum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2433 quod vis ceu ad centr&utilde; $u&utilde; ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2434 dit <I>S,</I> corpus in circumferentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2435 latum <I>P,</I> locus proximus in quem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2436 movebitur <I>Q,</I> & circuli tangens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2437 ad locum priorem <I>PRZ.</I> Per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2438 punctum <I>S</I> ducatur chorda <I>PV,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2439 & acta circuli diametro <I>VA</I> jun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2440 gatur <I>AP,</I> & ad <I>SP</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2441 perpendiculum <I>QT,</I> quod productum occurrat tangenti <I>PR</I> in <I>Z,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2442 <pb n=43>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2443 ac denique per punctum <I>Q</I> agatur <I>LR</I> quæ ip$i <I>SP</I> parallela
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2444 $it & occurrat tum circulo in <I>L</I> tum tangenti <I>PZ</I> in <I>R.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2445 ob $imilia triangula <I>ZQR, ZTP, VPA</I>; erit <I>RP quad.</I> hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2446 e$t <I>QRL</I> ad <I>QT quad.</I> ut <I>AV quad.</I> ad <I>PV quad.</I> Ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2447 (<I>QRLXPV quad./AV quad.</I>) æquatur <I>QT quad.</I> Ducantur hæc æqualia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2448 (<I>SP quad./QR</I>) &, punctis <I>P</I> & <I>Q</I> coeuntibus, $cribatur <I>PV</I> pro <I>RL.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2449 Sic fiet (<I>SP quad.XPV cub./AV quad.</I>) æquale (<I>SP quad.XQT quad./QR</I>) Ergo (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2450 Corol.1 & 5 Prop.VI.) vis centripeta e$t reciproce ut (<I>SPqXPV cub./AV quad</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2451 id e$t, (ob datum <I>AV quad.</I>) reciproce ut quadratum di$tantiæ $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2452 altitudinis <I>SP</I> & cubus chordæ <I>PV</I> conjunctim. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2453 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2454 <p>Ad tangentem <I>PR</I> productam demittatur perpendiculum <I>SY,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2455 & ob $imilia triangula <I>SYP, VPA</I>; erit <I>AV</I> ad <I>PV</I> ut <I>SP</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2456 <I>SY,</I> ideoque (<I>SPXPV/AV</I>) æquale <I>SY,</I> & (<I>SP quad.XPV cub./AV quad.</I>) æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2457 <I>SY quad.XPV.</I> Et propterea (per Corol.3 & 5 Prop.VI.) vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2458 peta e$t reciproce ut (<I>SPqXPV cub./AVq</I>) hoc e$t, ob datam <I>AV,</I> reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2459 proce ut <I>SPqXPV cub. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2460 <p><I>Corol.</I> 1. Hinc $i punctum datum <I>S</I> ad quod vis centripeta $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2461 per tendit, locetur in circumferentia hujus circuli, puta ad <I>V</I>; erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2462 vis centripeta reciproce ut quadrato cubus altitudinis <I>SP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2463 <p><I>Corol.</I> 2. Vis qua corpus <I>P</I> in cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2464 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2465 culo <I>APTV</I> circum virium centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2466 <I>S</I> revolvitur, e$t ad vim qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2467 idem <I>P</I> in eodem circulo & eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2468 tempore periodico circum aliud quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2469 vis virium centrum <I>R</I> revolvi pote$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2470 ut <I>RP quad.XSP</I> ad cubum rectæ <I>SG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2471 quæ a primo virium centro <I>S</I> ad or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2472 bis tangentem <I>PG</I> ducitur, & di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2473 tiæ corporis a $ecundo virium centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2474 parallela e$t. Nam, per con$tructionem hujus Propo$itionis, vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2475 prior e$t ad vim po$teriorem, ut <I>RPqXPT cub.</I> ad <I>SPqXPV cub.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2476 <pb n=44>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2477 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2478 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2479 id e$t, ut <I>SPXRPq</I> ad (<I>SP cub.XPV cub/PT cub.</I>) $ive (ob $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2480 triangula <I>PSG, TPV</I>) ad <I>SG cub.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2481 <p><I>Corol.</I> 3. Vis, qua corpus <I>P</I> in Orbe quocunque circum virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2482 centrum <I>S</I> revolvitur, e$t ad vim qua corpus idem <I>P</I> in eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2483 orbe eodemque tempore periodico circum aliud quodvis virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2484 centrum <I>R</I> revolvi pote$t, ut <I>SPXRPq</I> contentum utique $ub di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2485 $tantia corporis a primo virium centro <I>S</I> & quadrato di$tantiæ ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2486 a $ecundo virium centro <I>R</I> ad cubum rectæ <I>SG</I> quæ a primo vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2487 rium centro <I>S</I> ad orbis tangentem <I>PG</I> ducitur, & corporis a $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2488 cundo virium centro di$tantiæ <I>RP</I> parallela e$t. Nam vires in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2489 hoc Orbe, ad ejus punctum quodvis <I>P,</I> eædem $unt ac in Circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2490 eju$dem curvaturæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2491 <C>PROPOSITIO. VIII. PROBLEMA. III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2492 <p><I>Moveatur corpus in Circulo</I> PQA: <I>ad hunc effectum requiritur Lex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2493 vis centripetæ tendentis ad punctum adeo longinquum</I> S, <I>ut lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2494 omnes</I> PS, RS <I>ad id ductæ, pro parallelis haberi po$$int.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2495 <p>A Circuli centro <I>C</I> agatur $emidiameter <I>CA</I> parallelas i$tas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2496 perpendiculariter $ecans in <I>M</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2497 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2498 <I>N,</I> & jungatur <I>CP.</I> Ob $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2499 triangula <I>CPM, PZT</I> & <I>RZQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2500 e$t <I>CPq</I> ad <I>PMq</I> ut <I>PRq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2501 <I>QTq</I> & ex natura Circuli <I>PRq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2502 æquale e$t rectangulo <I>QRX√RN+QN</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2503 $ive coeuntibus punctis <I>P, Q</I> rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2504 angulo <I>QRX2PM.</I> Ergo e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2505 <I>CPq</I> ad <I>PM quad.</I> ut <I>QRX2PM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2506 ad <I>QT quad.</I> adeoque (<I>QT quad./QR</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2507 æquale (2<I>PM cub./CP quad.</I>), & (<I>QT quad.XSP quad./QR</I>) æquale (2<I>PM cub.XSP qu./CP quad.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2508 E$t ergo (per Corol. 1 & 5 Prop. VI.) vis centripeta reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2509 (2<I>PMcub.XSP quad./CP quad.</I>) hoc e$t (neglecta ratione determinata (2<I>SP quad./CP quad.</I>))
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2510 reciproce ut <I>PM cub. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2511 <p>Idem facile colligitur etiam ex Propo$itione præcedente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2512 <pb n=45>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2513 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2514 <p>Et $imili argumento corpus movebitur in Ellip$i vel etiam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2515 Hyperbola vel Parabola, vi centripeta quæ $it reciproce ut cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2516 bus ordinatim applicatæ ad centrum virium maxime longinquum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2517 tendentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2518 <C>PROPOSITIO IX. PROBLEMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2519 <p><I>Gyretur corpus in Spirali</I> PQS <I>$ecante radios omnes</I> SP, SQ, <I>&c.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2520 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2521 <I>in angulo dato: requiritur Lex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2522 vis centripetæ tendentis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2523 centrum Spiralis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2524 <p>Detur angulus indefinite par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2525 vus <I>PSQ,</I> & ob datos omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2526 angulos dabitur $pecie figura <I>SPQRT.</I> Ergo datur ratio (<I>QT/QR</I>), e$tque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2527 (<I>QT quad./QR</I>) ut <I>QT,</I> hoc e$t ut <I>SP.</I> Mutetur jam uteunque angulus <I>PSQ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2528 & recta <I>QR</I> angulum contactus <I>QPR</I> $ubtendens mutabitur (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2529 Lemma XI.) in duplicata ratione ip$ius <I>PR</I> vel <I>QT.</I> Ergo manebit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2530 (<I>QT quad./QR</I>) eadem quæ prius, hoc e$t ut <I>SP.</I> Quare (<I>QTq.XSPq/QR</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2531 e$t ut <I>SP cub.</I> adeoque (per Corol. 1 & 5 Prop. VI.) vis centripeta e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2532 reciproce ut cubus di$tantiæ <I>SP. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2533 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2534 <p>Perpendiculum <I>SY</I> in tangentem demi$$um, & circuli Spiralem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2535 tangentis chorda <I>PV</I> $unt ad altitudinem <I>SP</I> in datis rationibus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2536 ideoque <I>SP cub.</I> e$t ut <I>SYqXPV,</I> hoc e$t (per Corol. 3 & 5 Prop.VI.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2537 reciproce ut vis centripeta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2538 <C>LEMMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2539 <C><I>Parallelogramma omnia, circa datæ Ellip$eos vel Hyperbolæ diametros
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2540 qua$vis conjugatas de$cripta, e$$e inter $e æqualia.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2541 <p>Con$tat ex Conicis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2542 <pb n=46>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2543 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2544 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2545 <C>PROPOSITIO X. PROBLEMA. V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2546 <C><I>Gyretur corpus in Ellip$i: requiritur lex vis centripetæ tendentis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2547 centrum Ellip$eos.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2548 <p>Sunto <I>CA, CB</I> $emiaxes Ellip$eos; <I>GP, DK</I> diametri conju-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2549 gatæ; <I>PF, Qt</I> perpendicula ad diametros; <I>Qv</I> ordinatim appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2550 cata ad diametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2551 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2552 <I>GP</I>; & $i compleatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2553 parallelogrammum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2554 <I>QvPR,</I> erit (ex Coni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2555 cis) <I>PvG</I> ad <I>Qv quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2556 ut <I>PC quad.</I> ad <I>CD
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2557 quad.</I> & (ob $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2558 triangula <I>Qvt, PCF</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2559 <I>Qv quad.</I> e$t ad <I>Qt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2560 quad.</I> ut <I>PC quad.</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2561 <I>PF quad.</I> & conjun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2562 ctis rationibus, <I>PvG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2563 ad <I>Qt quad.</I> ut <I>PC
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2564 quad.</I> ad <I>CD quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2565 & <I>PC quad.</I> ad <I>PF
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2566 quad.</I> id e$t, <I>vG</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2567 (<I>Qt quad./Pv</I>) ut <I>PC quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2568 ad (<I>CDqXPFq/PCq</I>). Scribe <I>QR</I> pro <I>Pv,</I> & (per Lemma XII.) <I>BCXCA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2569 pro <I>CDXPF,</I> nec non, punctis <I>P</I> & <I>Q</I> coeuntibus, 2<I>PC</I> pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2570 <I>vG,</I> & ductis extremis & mediis in $e mutuo, fiet (<I>Qt quad.XPCq/QR</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2571 æquale (2<I>BCqXCAq/PC</I>). E$t ergo (per Corol. 5 Prop. VI.) vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2572 peta reciproce ut (2<I>BCqXGAq;/PC</I>) id e$t (ob datum 2<I>BCqXCAq</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2573 reciproce ut (1/<I>PC</I>); hoc e$t, directe ut di$tantia <I>PC. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2574 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2575 <p>In <I>PG</I> ab altera parte puncti <I>t</I> po$ita intelligatur <I>tu</I> æqualis ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2576 <I>tv</I>; deinde cape <I>uV</I> quæ $it ad <I>vG</I> ut e$t <I>DC quad.</I> ad <I>PC quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2577 Et quoniam ex Conicis <*> <I>Qv quad.</I> ad <I>PvG,</I> ut <I>DC quad.</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2578 <I>PC quad:</I> erit <I>Qv quad.</I> æquale <I>PvXuV.</I> Unde quadratum chor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2579 <pb n=47>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2580 dæ arcus <I>PQ</I> erit æquale rectangulo <I>VPv</I>; adeoque Circulus qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2581 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2582 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2583 tangit Sectionem Conicam in <I>P</I> & tran$it per punctum <I>Q,</I> tran$ibit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2584 etiam per punctum <I>V.</I> Coeant puncta <I>P</I> & <I>Q,</I> & hic circulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2585 eju$dem erit curvaturæ cum $ectione conica in <I>P,</I> & <I>PV</I> æqualis erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2586 (2<I>DCq/PC</I>). Proinde vis qua corpus <I>P</I> in Ellip$i revolvitur, erit reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2587 proce ut (2<I>DCq/PC</I>) in <I>PFq</I> (per Corol. 3 Prop. VI.) hoc e$t (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2588 datum 2<I>DCq</I> in <I>PFq</I>) directe ut <I>PC. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2589 <p><I>Corol.</I> 1. E$t igitur vis ut di$tantia corporis a centro Ellip$eos: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2590 vici$$im, $i vis $it ut di$tantia, movebitur corpus in Ellip$i centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2591 habente in centro virium, aut forte in Circulo, in quem utique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2592 Ellip$is migrare pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2593 <p><I>Corol.</I> 2. Et æqualia erunt revolutionum in Ellip$ibus univer$is cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2594 cum centrum idem factarum periodica tempora. Nam tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2595 illa in Ellip$ibus $imilibus æqualia $unt per Corol. 3 & 8, Prop. IV:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2596 in Ellip$ibus autem communem habentibus axem majorem, $unt ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2597 invicem ut Ellip$eon areæ totæ directe & arearum particulæ $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2598 de$criptæ inver$e; id e$t, ut axes minores directe & corporum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2599 locitates in verticibus principalibus inver$e; hoc e$t, ut axes illi mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2600 nores directe & ordinatim applicatæ ad axes alteros inver$e; & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2601 terea (ob æqualitatem rationum directarum & inver$arum) in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2602 tione æqualitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2603 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2604 <p>Si Ellip$is, centro in infinitum abeunte vertatur in Parabolam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2605 corpus movebitur in hac Parabola; & vis ad centrum infinite di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2606 $tans jam tendens evadet æquabilis. Hoc e$t Theorema <I>Galilæi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2607 Et $i coni $ectio Parabolica, inclinatione plani ad conum $ectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2608 mutata, vertatur in Hyperbolam, movebitur corpus in hujus pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2609 rimetro, vi centripeta in centrifugam ver$a. Et quemadmo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2610 dum in Circulo vel Ellip$i, $i vires tendunt ad centrum figuræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2611 in Ab$ci$$a po$itum, hæ vires augendo vel diminuendo Ordinatas in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2612 ratione quacunque data, vel etiam mutando angulum inclinationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2613 Ordinatarum ad Ab$ci$$am, $emper augentur vel diminuuntur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2614 ratione di$tantiarum a centro, $i modo tempora periodica maneant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2615 æqualia: $ic etiam in figuris univer$is, $i Ordinatæ augeantur vel di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2616 minuantur in ratione quacunque data, vel angulus ordinationis ut-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2617 cunque mutetur, manente tempore periodico; vires ad centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2618 quodcunque in Ab$ci$$a po$itum tendentes a binis quibu$vis figurarum locis, ad quæ termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2619 nantur Ordinatæ corre$pondentibus Ab$ci$$arum punctis in$i$tentes, augentur vel &c. augentur vel diminuun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2620 tur in ratione di$tantiarum a centro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2621 <pb n=48>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2622 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2623 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2624 <C>SECTIO III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2625 <C><I>De motu Corporum in Conicis Sectionibus excentricis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2626 <C>PROPOSITIO XI. PROBLEMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2627 <C><I>Revolvatur corpus in Ellip$i: requiritur Lex vis centripetæ tenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2628 tis ad umbilicum Ellip$eos.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2629 <p>E$to Ellip$eos umbilicus <I>S.</I> Agatur <I>SP</I> $ecans Ellip$eos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2630 tum diametrum <I>DK</I> in <I>E,</I> tum ordinatim applicatam <I>Qv</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2631 <I>x,</I> & compleatur parallelogrammum <I>QxPR.</I> Patet <I>EP</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2632 lem e$$e $emiaxi ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2633 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2634 jori <I>AC,</I> eo quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2635 acta ab altero Ellip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2636 $eos umbilico <I>H</I> li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2637 nea <I>HI</I> ip$i <I>EC</I> pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2638 rallela, (ob æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2639 <I>CS, CH</I>) æquentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2640 <I>ES, EI,</I> adeo ut <I>EP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2641 $emi$umma $it ip$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2642 rum <I>PS, PI,</I> id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2643 (ob parallelas <I>HI,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2644 PR</I> & angulos æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2645 les <I>IPR, HPZ</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2646 ip$arum <I>PS, PH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2647 quæ cõjunctim axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2648 totum 2<I>AC</I> adæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2649 quant. Ad <I>SP</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2650 mittatur perpendicularis <I>QT,</I> & Ellip$eos latere recto principali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2651 ($eu (2<I>BC quad./AC</I>)) dicto <I>L,</I> erit <I>LXQR</I> ad <I>LXPv</I> ut <I>QR</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2652 <I>Pv,</I> id e$t ut <I>PE</I> $eu <I>AC</I> ad <I>PC</I>; & <I>LXPv</I> ad <I>GvP</I> ut <I>L</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2653 <I>Gv</I>; & <I>GvP</I> ad <I>Qv quad.</I> ut <I>PC quad.</I> ad <I>CD quad</I>; & (per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2654 2 Lem. VII.) <I>Qv quad.</I> ad <I>Qx quad,</I> punctis <I>Q</I> & <I>P</I> coeuntibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2655 e$t ratio æqualitatis; & <I>Qx quad.</I> $eu <I>Qv quad.</I> e$t ad <I>QT quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2656 ut <I>EP quad.</I> ad <I>PF quad,</I> id e$t ut <I>CA quad.</I> ad <I>PF quad.</I> $ive (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2657 Lem XII.) ut <I>CD quad.</I> ad <I>CB quad.</I> Et conjunctis his omnibus ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2658 nibus, <I>LXQR</I> fit ad <I>QT quad.</I> ut <I>ACXLXPCq.XCDq.</I> $eu 2<I>CBq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2659 XPCq.XCDq.</I> ad <I>PCXGvXCDq.XCBq.</I> $ive ut 2<I>PC</I> ad <I>Gv.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2660 <pb n=49>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2661 Sed, punctis <I>Q</I> & <I>P</I> coeuntibus, æquãtur 2<I>PC</I> & <I>Gv.</I> Ergo & his pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2662 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2663 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2664 portionalia <I>LXQR</I> & <I>QT quad.</I> æquantur. Ducantur hæc æqualia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2665 (<I>SPq/QR</I>) & fiet <I>LXSPq.</I> æquale (<I>SPq.XQTq/QR</I>). Ergo (per Corol. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2666 & 5 Prop. VI.) vis centripeta reciproce e$t ut <I>LXSPq.</I> id e$t, reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2667 proce in ratione duplicata di$tantiæ <I>SP. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2668 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2669 <p>Cum vis ad centrum Ellip$eos tendens, qua corpus <I>P</I> in Ellip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2670 illa revolvi pote$t, $it (per Corol. I Prop. X) ut <I>CP</I> di$tantia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2671 poris ab Ellip$eos centro <I>C</I>; ducatur <I>CE</I> parallela Ellip$eos tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2672 genti <I>PR:</I> & vis qua corpus idem <I>P,</I> circum aliud quodvis Ellip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2673 $eos punctum <I>S</I> revolvi pote$t, $i <I>CE</I> & <I>PS</I> concurrant in <I>E,</I> erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2674 (<I>PE cub./SPq</I>) (per Corol. 3 Prop. VII,) hoc e$t, $i punctum <I>S</I> $it umbili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2675 cus Ellip$eos, adeoque <I>PE</I> detur, ut <I>SPq</I> reciproce. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2676 <p>Eadem brevitate qua traduximus Problema quintum ad Parabo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2677 lam, & Hyperbolam, liceret idem hic facere: verum ob dignita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2678 tem Problematis & u$um ejus in $equentibus, non pigebit ca$us ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2679 teros demon$tratione confirmare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2680 <C>PROPOSITIO XII. PROBLEMA. VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2681 <C><I>Moveatur corpus in Hyperbola: requiritur Lex vis centripetæ ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2682 dentis ad umbilicum figuræ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2683 <p>Sunto <I>CA, CB</I> $emi-axes Hyperbolæ; <I>PG, KD</I> diametri con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2684 jugatæ; <I>PF, Qt</I> perpendicula ad diametros; & <I>Qv</I> ordinatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2685 applicata ad diametrum <I>GP.</I> Agatur <I>SP</I> $ecans cum diametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2686 <I>DK</I> in <I>E,</I> tum ordinatim applicatam <I>Qv</I> in <I>x,</I> & compleatur pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2687 rallelogrammum <I>QRPx.</I> Patet <I>EP</I> æqualem e$$e $emiaxi tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2688 ver$o <I>AC,</I> eo quod, acta ab altero Hyperbolæ umbilico <I>H</I> linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2689 <I>HI</I> ip$i <I>EC</I> parallela, ob æquales <I>CS, CH,</I> æquentur <I>ES, EI</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2690 adeo ut <I>EP</I> $emidifferentia $it ip$arum <I>PS, PI,</I> id e$t (ob pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2691 rallelas <I>IH, PR</I> & angulos æquales <I>IPR, HPZ</I>) ip$arum <I>PS,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2692 PH,</I> quarum differentia axem totum 2<I>AC</I> adæquat. Ad <I>SP</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2693 mittatur perpendicularis <I>QT.</I> Et Hyperbolæ latere recto princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2694 pali ($eu (2<I>BCq/AC</I>)) dicto <I>L,</I> erit <I>LXQR</I> ad <I>LXPv</I> ut <I>QR</I> ad <I>Pv,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2695 id e$t, ut <I>PE</I> $eu <I>AC</I> ad <I>PC</I>; Et <I>LXPv</I> ad <I>GvP</I> ut <I>L</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2696 <pb n=50>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2697 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2698 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2699 <I>Gv</I>; & <I>GvP</I> ad <I>Qv quad.</I> ut <I>PCq.</I> ad <I>CDq</I>; & (per Corol. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2700 Lem. VII.) <I>Qv quad.</I> ad <I>Qx quad.</I> punctis <I>Q</I> & <I>P</I> coeuntibus fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2701 ratio æqualitatis; & <I>Qx quad.</I> $eu <I>Qv quad.</I> e$t ad <I>QTq.</I> ut <I>EPq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2702 ad <I>PFq,</I> id e$t ut <I>CAq,</I> ad <I>PFq,</I> $ive (per Lem. XII.) ut <I>CDq,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2703 ad <I>CBq:</I> & conjunctis his omnibus rationibus <I>LXQR</I> fit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2704 <I>QTq.</I> ut <I>ACXLXPCqXCDq</I> $eu 2<I>CBqXPCqXCDq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2705 <I>PCXGvXCDqXCB quad.</I> $ive ut 2<I>PC</I> ad <I>Gv.</I> Sed punctis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2706 <I>P</I> & <I>Q</I> cocuntibus æquantur 2<I>PC</I> & <I>Gv.</I> Ergo & his propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2707 tionalia <I>LXQR</I> & <I>QTq.</I> æquantur. Ducantur hæc æqualia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2708 (<I>SPq/QR</I>). & fiet <I>LXSPq.</I> æquale (<I>SPqXQTq/QR</I>). Ergo (per Corol. I
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2709 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2710 & 5 Prop. VI.) vis centripeta reciproce e$t ut <I>LXSPq,</I> id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2711 reciproce in ratione duplicata di$tantiæ <I>SP. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2712 <pb n=51>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2713 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2714 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2715 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2716 <p>Inveniatur vis quæ tendit ab Hyperbolæ centro <I>C.</I> Prodibit hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2717 di$tantiæ <I>CP</I> proportionalis. Inde vero (per Corol. 3 Prop. VII.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2718 vis ad umbilicum <I>S</I> tendens erit ut (<I>PEcub/SPq</I>), hoc e$t, ob datam <I>PE,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2719 reciproce ut <I>SPq. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2720 <p>Eodem modo demon$tratur quod corpus, hac vi centripeta in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2721 centrifugam ver$a, movebitur in Hyperbola conjugata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2722 <C>LEMMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2723 <p><I>Latus rectum Parabolæ ad verticem quemvis pertinens, e$t quadru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2724 plum di$tantiæ verticis illius ab umbilico figuræ.</I> Patet ex Conicis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2725 <C>LEMMA XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2726 <p><I>Perpendiculum quod ab umbilico Parabolæ ad tangentem ejus demitti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2727 tur, medium e$t proportionale inter di$tantias umbilici a puncto con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2728 tactus & a vertice principali figuræ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2729 <p>Sit enim <I>AQP</I> Parabola, <I>S</I> umbilicus ejus, <I>A</I> vertex principa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2730 lis <I>P</I> punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2731 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2732 contactus, <I>PO</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2733 ordinatim ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2734 plicata ad dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2735 metrum prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2736 cipalem, <I>PM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2737 tangens dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2738 metro princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2739 pali occurrens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2740 in <I>M,</I> & <I>SN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2741 linea perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2742 dicularis ab umbilico in tangentem. Jungatur <I>AN,</I> & ob æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2743 <I>MS</I> & <I>SP, MN</I> & <I>NP, MA</I> & <I>AO,</I> parallelæ erunt rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2744 <I>AN</I> & <I>OP,</I> & inde triangulum <I>SAN</I> rectangulum erit ad <I>A</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2745 $imile triangulis æqualibus <I>SNM, SNP:</I> Ergo <I>PS</I> e$t ad <I>SN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2746 ut <I>SN</I> ad <I>SA. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2747 <p><I>Corol.</I> 1. <I>PSq.</I> e$t ad <I>SNq.</I> ut <I>PS</I> ad <I>SA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2748 <p><I>Corol.</I> 2. Et ob datam <I>SA,</I> e$t <I>SNq.</I> ut <I>PS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2749 <pb n=52>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2750 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2751 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2752 <p><I>Corol.</I> 3. Et concur$us tangentis cuju$vis <I>PM</I> cum recta <I>SN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2753 quæ ab umbilico in ip$am perpendicularis e$t, incidit in rectam <I>AN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2754 quæ Parabolam tangit in vertice principali.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2755 <C>PROPOSITIO. XIII. PROBLEMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2756 <C><I>Moveatur corpus in perimetro Parabolæ: requiritur Lex vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2757 petæ tendentis ad umbilicum hujus figuræ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2758 <p>Maneat con$tructio Lemmatis, $itque <I>P</I> corpus in perimetro Pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2759 rabolæ, & a loco <I>Q</I> in quem corpus proxime movetur, age ip$i <I>SP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2760 parallelam <I>QR</I> & perpendicularem <I>QT,</I> necnon <I>Qv</I> tangenti pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2761 rallelam & occurrentem tum diametro <I>YPG</I> in <I>v,</I> tum di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2762 <I>SP</I> in <I>x.</I> Jam ob $imilia triangula <I>Pxv, SPM</I> & æqualia unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2763 latera <I>SM, SP,</I> æqualia $unt alterius latera <I>Px</I> $eu <I>QR</I> & <I>Pv.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2764 Sed, ex Conicis, quadratum ordinatæ <I>Qv</I> æquale e$t rectangulo $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2765 latere recto & $egmento diametri <I>Pv,</I> id e$t (per Lem. XIII.) rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2766 lo 4 <I>PSXPv,</I> $eu 4 <I>PSXQR</I>; & punctis <I>P</I> & <I>Q</I> coeuntibus, ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2767 tio <I>Qv</I> ad <I>Qx</I> per (per Corol. 2 Lem. VII.) fit ratio æqualitatis. Er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2768 go <I>Qxquad.</I> eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2769 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2770 in ca$u, æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2771 e$t rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2772 lo 4 <I>PSXQR.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2773 E$t autem (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2774 $imilia trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2775 gula <I>QxT,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2776 SPN) Qxq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2777 ad <I>QTq.</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2778 <I>PSq.</I> ad <I>SNq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2779 hoc e$t (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2780 Corol. 1. Lem. XIV.) ut <I>PS</I> ad <I>SA,</I> id e$t ut 4 <I>PSXQR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2781 ad 4<I>SAXQR,</I> & inde (per Prop. IX. Lib. v. Elem.) <I>QTq.</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2782 4<I>SAXQR</I> æquantur. Ducantur hæc æqualia in (<I>SPq./QR</I>), & fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2783 (<I>SPq.XQTq./QR</I>) æquale <I>SPq.X4SA:</I> & propterea (per Corol. 1 & 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2784 Prop. VI.) vis centripeta e$t reciproce ut <I>SPq.X4SA,</I> id e$t, ob da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2785 tam 4<I>SA,</I> reciproce in duplicata ratione di$tantiæ <I>SP. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2786 <pb n=53>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2787 <p><I>Corol.</I> 1. Ex tribus novi$$imis Propo$itionibus con$equens e$t, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2788 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2789 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2790 $i corpus quodvis <I>P,</I> $ecundum lineam quamvis rectam <I>PR,</I> qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2791 cunque cum velocitate exeat de loco <I>P,</I> & vi centripeta quæ $it re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2792 ciproce proportionalis quadrato di$tantiæ locorum a centro, $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2793 agitetur; movebitur hoc corpus in aliqua $ectionum Conicarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2794 umbilicum habente in centro virium; & contra. Nam datis umbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2795 lico & puncto contactus & po$itione tangentis, de$cribi pote$t $ectio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2796 Conica quæ curvaturam datam ad punctum illud habebit. Datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2797 autem curvatura ex data vi centripeta: & Orbes duo $e mutuo tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2798 gentes, eadem vi centripeta de$cribi non po$$unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2799 <p><I>Corol.</I> 2. Si velocitas, quacum corpus exit de loco $uo <I>P,</I> ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2800 $it, qua lineola <I>PR</I> in minima aliqua temporis particula de$cribi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2801 po$$it, & vis centripeta potis $it eodem tempore corpus idem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2802 vere per $patium <I>QR:</I> movebitur hoc corpus in Conica aliqua $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2803 ctione, cujus latus rectum principale e$t quantitas illa (<I>QTq./QR</I>) quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2804 ultimo fit ubi lineolæ <I>PR, QR</I> in infinitum diminuuntur. Circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2805 lum in his Corollariis refero ad Ellip$in, & ca$um excipio ubi cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2806 pus recta de$cendit ad centrum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2807 <C>PROPOSITIO XIV. THEOREMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2808 <p><I>Si corpora plura revolvantur circa centrum commune, & vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2809 peta $it reciproce in duplicata ratione di$tantiæ locorum a centro;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2810 dico quod Orbium Latera recta principalia $unt in duplicata ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2811 one arearum quas corpora, radiis ad centrum ductis, eodem tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2812 de$cribunt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2813 <p>Nam, per Corol. 2. Prop. XIII, Latus rectum <I>L</I> æquale e$t quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2814 titati (<I>QTq./QR</I>) quæ ultimo fit ubi coeunt puncta <I>P</I> & <I>Q.</I> Sed linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2815 minima <I>QR,</I> dato tempore, e$t ut vis centripeta generans, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2816 e$t (per Hypothe$in) reciproce ut <I>SPq.</I> Ergo (<I>QTq./QR</I>) e$t ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2817 <I>QTq.XSPq.</I> hoc e$t, latus rectum <I>L</I> in duplicata ratione areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2818 <I>QTXSP. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2819 <pb n=54>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2820 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2821 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2822 <p><I>Corol.</I> Hinc Ellip$eos area tota, eique proportionale rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2823 lum $ub axibus, e$t in ratione compo$ita ex $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2824 lateris recti & ratione temporis periodici. Namque area tota e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2825 ut area <I>QTXSP,</I> quæ dato tempore de$cribitur, ducta in &c. ducta in tempus periodicum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2826 <C>PROPOSITIO XV. THEOREMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2827 <C><I>Ii$dem po$itis, dico quod Tempora periodica in Ellip$ibus $unt in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2828 $e$quiplicata majorum axium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2829 <p>Namque axis minor e$t medius proportionalis inter axem majo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2830 rem & latus rectum, atque adeo rectangulum $ub axibus e$t in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2831 tione compo$ita ex $ubduplicata ratione lateris recti & $e$quiplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2832 ratione axis majoris. Sed hoc rectangulum, per Corollarium Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2833 XIV. e$t in ratione compo$ita ex $ubduplicata ratione lateris recti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2834 & ratione periodici temporis. Dematur utrobique $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2835 ratio lateris recti, & manebit $e$quiplicata ratio majoris axis æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2836 lis rationi periodici temporis. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2837 <p><I>Corol.</I> Sunt igitur tempora periodica in Ellip$ibus eadem ac in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2838 Circulis, quorum diametri æquantur majoribus axibus Ellip$eon.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2839 <C>PROPOSITIO XVI. THEOREMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2840 <p><I>Ii$dem po$itis, & actis ad corpora lineis rectis, quæ ibidem tangant Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2841 bitas, demi$$i$que ab umbilico communi ad has tangentes perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2842 cularibus: dico quod Velocitates corporum $unt in ratione compo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2843 ta ex ratione perpendiculorum inver$e & $ubduplicata ratione la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2844 terum rectorum principalium directe.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2845 <p>Ab umbilico <I>S</I> ad tangentem <I>PR</I> demitte perpendiculum <I>SY</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2846 & velocitas corporis <I>P</I> erit reciproce in $ubduplicata ratione quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2847 titatis (<I>SYq/L</I>). Nam velocitas illa e$t ut arcus quam minimus <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2848 in data temporis particula de$criptus, hoc e$t (per Lem. VII.) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2849 tangens <I>PR,</I> id e$t (ob proportionales <I>PR</I> ad <I>QT</I> & <I>SP</I> ad <I>SY</I>) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2850 (<I>SPXQT/SY</I>), $ive ut <I>SY</I> reciproce & <I>SPXQT</I> directe; e$tque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2851 <pb n=55>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2852 <I>SPXQT</I> ut area dato tempore de$cripta, id e$t, per Prop. XIV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2853 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2854 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2855 in $ubduplicata ratione lateris recti. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2856 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2857 <p><I>Corol.</I> 1. Latera recta principalia $unt in ratione compo$ita ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2858 duplicata ratione perpendiculorum & duplicata ratione veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2859 tatum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2860 <p><I>Corol.</I> 2. Velocitates corporum in maximis & minimis ab umbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2861 lico communi di$tantiis, $unt in ratione compo$ita ex ratione di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2862 $tantiarum inver$e & $ubduplicata ratione laterum rectorum princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2863 palium directe. Nam perpendicula jam $unt ip$æ di$tantiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2864 <p><I>Corol.</I> 3. Ideoque velocitas in Conica $ectione, in maxima vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2865 minima ab umbilico di$tantia, e$t ad velocitatem in Circulo in ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2866 dem à centro di$tantia, in $ubduplicata ratione lateris recti princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2867 palis ad duplam illam di$tantiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2868 <p><I>Corol.</I> 4. Corporum in Ellip$ibus gyrantium velocitates in medi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2869 ocribus di$tantus ab umbilico communi $unt eædem quæ corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2870 gyrantium in Circulis ad ea$dem di$tantias; hoc e$t (per Corol 6.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2871 Prop. IV.) reciproce in $ubduplicata ratione di$tantiarum. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2872 perpendicula jam $unt $emi-axes minores; & hi $unt ut mediæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2873 proportionales inter di$tantias & latera recta. Componatur hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2874 ratio inver$e cum $ubduplicata ratione laterum rectorum directe, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2875 fiet ratio $ubduplicata di$tantiarum inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2876 <p><I>Corol.</I> 5. In eadem figura, vel etiam in figuris diver$is, quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2877 <pb n=56>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2878 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2879 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2880 latera recta principalia $unt æqualia, velocitas corporis e$t reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2881 ut perpendiculum demi$$um ab umbilico ad tangentem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2882 <p><I>Corol.</I> 6. In Parabola, velocitas e$t reciproce in $ubduplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2883 tione di$tantiæ corporis ab umbilico figuræ; in Ellip$i magis varia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2884 <*>ur, in Hyperbola minus, quam in hac ratione. Nam (per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2885 2. Lem. XIV.) perpendiculum demi$$um ab umbilico ad tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2886 Parabolæ e$t in $ubduplicata ratione di$tantiæ. In Hyperbola per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2887 pendiculum minus variatur, in Ellip$i magis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2888 <p><I>Corol.</I> 7. In Parabola, velocitas corporis ad quamvis ab umbili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2889 co di$tantiam, e$t ad velocitatem corporis revolventis in Circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2890 ad eandem a centro di$tantiam, in $ubduplicata ratione numeri bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2891 narii ad unitatem; in Ellip$i minor e$t, in Hyperbola major quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2892 in hac ratione. Nam per hujus Corollarium $ecundum, velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2893 in vertice Parabolæ e$t in hac ratione, & per Corollaria $exta hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2894 jus & Propo$itionis quartæ, $ervatur eadem proportio in omnibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2895 di$tantiis. Hinc etiam in Parabola velocitas ubique æqualis e$t ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2896 locitati corporis revolventis in Circulo ad dimidiam di$tantiam, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2897 Ellip$i minor e$t, in Hyperbola major.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2898 <p><I>Corol.</I> 8. Velocitas gyrantis in Sectione quavis Conica e$t ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2899 locitatem gyrantis in Circulo in di$tantia dimidii lateris recti princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2900 palis Sectionis, ut di$tantia illa ad perpendiculum ab umbilico in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2901 tangentem Sectionis demi$$um. Patet per Corollarium quintum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2902 <p><I>Corol.</I> 9. Unde cum (per Corol. 6. Prop. IV.) velocitas gyrantis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2903 in hoc Circulo $it ad velocitatem gyrantis in Circulo quovis alio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2904 reciproce in $ubduplicata ratione di$tantiarum; fiet ex æquo velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2905 citas gyrantis in Conica $ectione ad velocitatem gyrantis in Circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2906 in eadem di$tantia, ut media proportionalis inter di$tantiam illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2907 communem & $emi$$em principalis lateris recti $ectionis, ad per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2908 pendiculum ab umbilico communi in tangentem $ectionis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2909 mi$$um.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2910 <C>PROPOSITIO XVII. PROBLEMA. IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2911 <p><I>Po$ito quod vis centripeta $it reciproce proportionalis quadrato di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2912 $tantiæ locorum a centro, & quod vis illius quantitas ab$oluta $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2913 cognita; requiritur Linea quam corpus de$cribit, de loco dato, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2914 data velocitate, $ecundum datam rectam egrediens.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2915 <p>Vis centripeta tendens ad punctum <I>S</I> ea $it qua corpus <I>p</I> in or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2916 bita quavis data <I>pq</I> gyretur, & cogno$catur hujus velocitas in loco <I>p.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2917 <pb n=57>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2918 De loco <I>P,</I> $ecundum lineam <I>PR,</I> exeat corpus <I>P,</I> cum data velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2919 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2920 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2921 citate, & mox inde, cogente vi centripeta, deflectat illud in Coni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2922 $ectionem <I>PQ.</I> Hanc igitur recta <I>PR</I> tanget in <I>P.</I> Tangat itidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2923 recta aliqua <I>pr</I> Orbitam <I>pq</I> in <I>p,</I> & $i ab <I>S</I> ad eas tangentes demitti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2924 intelligantur perpendicula, erit (per Corol. 1. Prop. XVI.) latus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2925 ctum principale Coni$ectionis ad latus rectum principale Orbitæ, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2926 ratione compo$ita ex duplicata ratione perpendiculorum & dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2927 cata ratione velocitatum, atque adeo datur. Sit i$tud <I>L.</I> Da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2928 tur præterea Coni$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2929 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2930 ctionis umbilicus <I>S.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2931 Anguli <I>RPS</I> com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2932 plementum ad du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2933 os rectos fiat angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2934 lus <I>RPH,</I> & dabi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2935 tur po$itione linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2936 <I>PH,</I> in qua umbilicus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2937 alter <I>H</I> locatur. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2938 mi$$o ad <I>PH</I> perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2939 diculo <I>SK,</I> erigi intelligatur $emiaxis conjugatus <I>BC,</I> & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2940 <I>SPq.-2KPH+PHq.=SHq.=4CHq.=4BHq-4BCq.=
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2941 &horbar;SP+PH: quad. - LX&horbar;SP+PH=SPq.+2SPH+PHq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2942 -LX&horbar;SP+PH.</I> Addantur utrobique 2<I>KPH-SPq-PHq
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2943 +LX&horbar;SP+PH,</I> & fiet <I>LX&horbar;SP+PH=2SPH+2KPH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2944 $eu <I>SP+PH,</I> ad <I>PH,</I> ut 2<I>SP+2KP</I> ad <I>L.</I> Unde datur <I>PH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2945 tam longitudine quam po$itione. Nimirum $i ea fit corporis &c. in <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2946 velocitas, ut latus rectum <I>L</I> minus fuerit quam 2 <I>SP+2KP,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2947 jacebit <I>PH</I> ad eandem partem tangentis <I>PR</I> cum linea <I>PS,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2948 adeoque figura erit Ellip$is, & ex datis umbilicis <I>S, H,</I> & axe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2949 principali <I>SP+PH,</I> dabitur: Sin tanta $it corporis velocitas ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2950 latus rectum <I>L</I> æquale fuerit 2 <I>SP+2KP,</I> longitudo <I>PH</I> infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2951 nita erit, & propterea figura erit Parabola axem habens <I>SH</I> paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2952 lelum lineæ <I>PK,</I> & inde dabitur. Quod $i corpus majori adhuc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2953 cum velocitate de loco $uo <I>P</I> exeat, capienda erit longitudo <I>PH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2954 ad alteram partem tangentis, adeoque tangente inter umbilicos per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2955 gente, figura erit Hyperbola axem habens principalem æqualem dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2956 ferentiæ linearum <I>SP</I> & <I>PH,</I> & inde dabitur. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2957 <p><I>Corol.</I> 1. Hinc in omni Coni$ectione ex dato vertice principali <I>D,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2958 latere recto <I>L,</I> & umbilico <I>S,</I> datur umbilicus alter <I>H</I> capiendo <I>DH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2959 ad <I>DS</I> ut e$t latus rectum ad differentiam inter latus rectum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2960 4 <I>DS.</I> Nam proportio <I>SP+PH</I> ad <I>PH</I> ut 2 <I>SP+2KP</I> ad <I>L,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2961 <pb n=58>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2962 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2963 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2964 in ca$u hujus Corollarii, $it <I>DS+DH</I> ad <I>DH</I> ut 4 <I>DS</I> ad <I>L,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2965 divi$im <I>DS</I> ad <I>DH</I> ut 4 <I>DS-L</I> ad <I>L.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2966 <p><I>Corol.</I> 2. Unde $i datur corporis velocitas in vertice principali <I>D,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2967 invenietur Orbita expedite, capiendo $cilicet latus rectum ejus, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2968 duplam di$tantiam <I>DS,</I> in duplicata ratione velocitatis hujus datæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2969 ad velocitatem corporis in Circulo, ad di$tantiam <I>DS,</I> gyrantis (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2970 Corol. 3. Prop. XVI.) dein <I>DH</I> ad <I>DS</I> ut latus rectum ad differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2971 tiam inter latus rectum & 4 <I>DS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2972 <p><I>Corol.</I> 3. Hinc etiam $i corpus moveatur in Sectione quacunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2973 Conica, & ex Orbe $uo impul$u quocunque exturbetur; cogno$ci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2974 pote$t Orbis in quo po$tea cur$um $uum peraget. Nam componen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2975 do proprium corporis motum cum motu illo quem impul$us $olus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2976 generaret, habebitur motus quocum corpus de dato impul$us loco,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2977 $ecundum rectam po$itione datam, exibit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2978 <p><I>Corol.</I> 4. Et $i corpus illud vi aliqua extrin$ecus impre$$a conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2979 nuo perturbetur, innote$cet cur$us quam proxime, colligendo mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2980 tationes quas vis illa in punctis quibu$dam inducit, & ex $eriei ana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2981 logia mutationes continuas in locis intermediis æ$timando.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2982 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2983 <p>Si corpus <I>P</I> vi centripeta ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2984 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2985 punctum quodcunque datum <I>R</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2986 tendente moveatur in perimetro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2987 datæ cuju$cunque Sectionis co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2988 nicæ cujus centrum $it <I>C,</I> & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2989 quiratur Lex vis centripetæ: du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2990 catur <I>CG</I> radio <I>RP</I> paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2991 la, & Orbis tangenti <I>PG</I> oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2992 currens in <I>G</I>; & vis illa (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2993 Corol. 1 & Schol. Prop. X, & Corol. 3 Prop. VII.) erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2994 (<I>CG cub./RP quad.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2995 <pb n=59>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2996 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2997 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2998 <C>SECTIO IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	2999 <C><I>De Inventione Orbium Ellipticorum, Parabolicorum & Hyperbolico-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3000 rum ex umbilico dato.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3001 <C>LEMMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3002 <p><I>Si ab Ellip$eos vel Hyperbolæ cuju$vis umbilicis duobus</I> S, H, <I>ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3003 punctum quodvis tertium</I> V <I>inflectantur rectæ duæ</I> SV, HV,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3004 <I>quarum una</I> HV <I>æqualis $it axi principali figuræ, altera</I> SV <I>a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3005 perpendiculo</I> TR <I>in $e demi$$o bi-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3006 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3007 <I>$ecetur in</I> T; <I>perpendiculum illud</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3008 TR <I>$ectionem Conicam alicubi tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3009 get: & contra, $i tangit, erit</I> HV
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3010 <I>æqualis axi principali figuræ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3011 <p>Secet enim perpendiculum <I>TR</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3012 ctam <I>HV</I> productam, $i opus fuerit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3013 in <I>R</I>; & jungatur <I>SR.</I> Ob æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3014 <I>TS, TV,</I> æquales erunt & rectæ <I>SR, VR</I> & anguli <I>TRS, TRV.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3015 Unde punctum <I>R</I> erit ad Sectionem Conicam, & perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3016 <I>TR</I> tanget eandem: & contra. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3017 <C>PROPOSITIO XVIII. PROBLEMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3018 <p><I>Datis umbilico & axibus principalibus de$cribere Trajectorias Ellipti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3019 cas & Hyperbolicas, quæ tran$ibunt per puncta data, & rectas po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3020 $itione datas contingent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3021 <p>Sit <I>S</I> communis umbilicus figurarum; <I>AB</I> longitudo axis prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3022 cipalis Trajectoriæ cuju$vis; <I>P</I> punctum per quod Trajectoria de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3023 bet tran$ire; & <I>TR</I> recta quam debet tangere. Centro <I>P</I> inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3024 vallo <I>AB-SP,</I> $i orbita $it Ellip$is, vel <I>AB+SP,</I> $i ea $it Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3025 perbola, de$cribatur circulus <I>HG.</I> Ad tangentem <I>TR</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3026 perpendiculum <I>ST,</I> & producatur idem ad <I>V,</I> ut $it <I>TV</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3027 <I>ST</I>; centroque <I>V</I> & intervallo <I>AB</I> de$cribatur circulus <I>FH.</I> Hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3028 <pb n=60>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3029 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3030 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3031 methodo $ive dentur duo puncta <I>P, p,</I> $ive duæ tangentes <I>TR,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3032 tr,</I> $ive punctum <I>P</I> & tangens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3033 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3034 <I>TR,</I> de$cribendi $unt circuli duo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3035 Sit <I>H</I> eorum inter$ectio com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3036 munis, & umbilicis <I>S, H,</I> axe illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3037 dato de$cribatur Trajectoria.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3038 Dico factum. Nam Trajecto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3039 ctoria de$cripta (eo quod <I>PH
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3040 +SP</I> in Ellip$i, & <I>PH-SP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3041 in Hyperbola æquatur axi)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3042 tran$ibit per punctum <I>P,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3043 (per Lemma $uperius) tanget
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3044 rectam <I>TR.</I> Et eodem argu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3045 mento vel tran$ibit eadem per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3046 puncta duo <I>P, p,</I> vel tanget re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3047 ctas duas <I>TR, tr. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3048 <C>PROPOSITIO XIX. PROBLEMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3049 <C><I>Circa datum umbilicum Trajectoriam Parabolicam de$cribere, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3050 tran$ibit per puncta data, & rectas po$itione datas continget.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3051 <p>Sit <I>S</I> umbilicus, <I>P</I> punctum & <I>TR</I> tangens Trajectoriæ de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3052 bendæ. Centro <I>P,</I> intervallo <I>PS</I> de$cribe cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3053 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3054 culum <I>FG.</I> Ab umbilico ad tangentem demit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3055 te perpendicularem <I>ST,</I> & produc eam ad <I>V,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3056 ut $it <I>TV</I> æqualis <I>ST.</I> Eodem modo de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3057 bendus e$t alter circulus <I>fg,</I> $i datur alterum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3058 punctum <I>p</I>; vel inveniendum alterum punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3059 <I>v,</I> $i datur altera tangens <I>tr</I>; dein ducenda re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3060 <*>a <I>IF</I> quæ tangat duos circulos <I>FG, fg</I> $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3061 dantur duo puncta <I>P, p,</I> vel tran$eat per duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3062 puncta <I>V, v,</I> $i dantur duæ tangentes <I>TR, tr,</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3063 tangat circulum <I>FG</I> & tran$eat per punctum <I>V,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3064 $i datur punctum <I>P</I> & tangens <I>TR.</I> Ad <I>FI</I> demitte perpendicula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3065 rem <I>SI,</I> eamque bi$eca in <I>K</I>; & axe <I>SK,</I> vertice principali <I>K</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3066 $cribatur Parabola. Dico factum. Nam Parabola, ob æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3067 <I>SK</I> & <I>IK, SP</I> & <I>FP,</I> tran$ibit per punctum <I>P</I>; & (per Lem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3068 matis XIV. Corol. 3.) ob æquales <I>ST</I> & <I>TV</I> & angulum rectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3069 <I>STR,</I> tanget rectam <I>TR. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3070 <pb n=61>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3071 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3072 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3073 <C>PROPOSITIO XX. PROBLEMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3074 <p><I>Circa datum umbilicum Trajectoriam quamvis $pecie datam de$cribe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3075 re, quæ per data puncta tran$ibit & rectas tanget pofitione datas.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3076 <p><I>Cas.</I> 1. Dato umbilico <I>S,</I> de$cribenda $it Trajectoria <I>ABC</I> per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3077 puncta duo <I>B, C.</I> Quoniam Trajectoria datur $pecie, dabitur ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3078 tio axis principalis ad di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3079 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3080 umbilicorum. In ea ratione cape
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3081 <I>KB</I> ad <I>BS,</I> & <I>LC</I> ad <I>CS.</I> Cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3082 tris <I>B, C,</I> intervallis <I>BK, CL,</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3083 $cribe circulos duos, & ad rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3084 <I>KL,</I> quæ tangat eo$dem in <I>K</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3085 <I>L,</I> demitte perpendiculum <I>SG,</I> idemque $eca in <I>A</I> & <I>a,</I> ita ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3086 <I>GA</I> ad <I>AS</I> & <I>Ga</I> ad <I>aS,</I> ut e$t <I>KB</I> ad <I>BS,</I> & axe &c. <I>Aa,</I> verticibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3087 <I>A, a,</I> de$cribatur Trajectoria. Dico factum. Sit enim <I>H</I> umbilicus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3088 alter Figuræ de$criptæ, & cum $it <I>GA</I> ad <I>AS</I> ut <I>Ga</I> ad <I>aS,</I> erit di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3089 vi$im <I>Ga-GA</I> $eu <I>Aa</I> ad <I>aS-AS</I> $eu <I>SH</I> in eadem &c. ratione,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3090 adeoque in ratione quam habet axis principalis Figuræ de$cribendæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3091 ad di$tantiam umbilicorum ejus; & propterea Figura de$cripta e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3092 eju$dem $peciei cum de$cribenda. Cumque $int <I>KB</I> ad <I>BS</I> & <I>LC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3093 ad <I>CS</I> in eadem ratione, tran$ibit hæc Figura per puncta <I>B, C,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3094 ex Conicis manife$tum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3095 <p><I>Cas.</I> 2. Dato umbilico <I>S,</I> de$cribenda $it Trajectoria quæ rectas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3096 duas <I>TR, tr</I> alicubi contingat. Ab umbilico in tangentes demitte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3097 perpendicula <I>ST, St</I> & produc ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3098 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3099 dem ad <I>V, v,</I> ut $int <I>TV, tv</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3100 quales <I>TS, tS.</I> Bi$eca <I>Vv</I> in <I>O,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3101 & erige perpendiculum infinitum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3102 <I>OH,</I> rectamque <I>VS</I> infinite pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3103 ductam $eca in <I>K</I> & <I>k</I> ita, ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3104 <I>VK</I> ad <I>KS</I> & <I>Vk</I> ad <I>kS</I> ut e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3105 Trajectoriæ de$cribendæ axis prin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3106 cipalis ad umbilicorum di$tantiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3107 Super diametro <I>Kk</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3108 circulus $ecans <I>OH</I> in <I>H</I>; & umbilicis <I>S, H,</I> axe principali ip$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3109 <I>VH</I> æquante, de$cribatur Trajectoria. Dico factum. Nam bi$eca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3110 <I>Kk</I> in <I>X,</I> & junge <I>HX, HS, HV, Hv.</I> Quoniam e$t <I>VK</I> ad <I>KS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3111 ut <I>Vk</I> ad <I>kS</I>; & compofite ut <I>VK+Vk</I> ad <I>KS+kS</I>; divi$imque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3112 <pb n=62>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3113 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3114 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3115 ut <I>Vk-VK</I> ad <I>kS-KS,</I> id e$t ut 2 <I>VX</I> ad 2 <I>KX</I> & 2 <I>KX</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3116 2 <I>SX,</I> adeoque ut <I>VX</I> ad <I>HX</I> & <I>HX</I> ad <I>SX,</I> $imilia erunt tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3117 angula <I>VXH, HXS,</I> & propterea <I>VH</I> erit ad <I>SH</I> ut <I>VX</I> ad <I>XH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3118 adeoque ut <I>VK</I> ad <I>KS.</I> Habet igitur Trajectoriæ de$criptæ axis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3119 principalis <I>VH</I> eam rationem ad ip$ius umbilicorum di$tantiam <I>SH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3120 quam habet Trajectoriæ de$cribendæ axis principalis ad ip$ius um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3121 bilicorum di$tantiam, & propterea eju$dem e$t $peciei. In$uper cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3122 <I>VH, vH</I> æquentur axi principali, & <I>VS, vS</I> a rectis <I>TR, tr</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3123 perpendiculariter bi$ecentur, liquet, ex Lemmate XV, rectas illas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3124 Trajectoriam de$criptam tangere. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3125 <p><I>Cas.</I> 3. Dato umbilico <I>S</I> de$cribenda $it Trajectoria quæ rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3126 am <I>TR</I> tanget in puncto dato <I>R.</I> In rectam <I>TR</I> demitte perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3127 dicularem <I>ST,</I> & produc eandem ad <I>V,</I> ut $it <I>TV</I> æqualis <I>ST.</I> Junge
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3128 <I>VR,</I> & rectam <I>VS</I> infinite productam $eca in <I>K</I> & <I>k,</I> ita ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3129 <I>VK</I> ad <I>SK</I> & <I>Vk</I> ad <I>Sk</I> ut Ellip$eos de$cribendæ axis principalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3130 ad di$tantiam umbilicorum; circuloque $uper diametro <I>Kk</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3131 $cripto, $ecetur producta recta <I>VR</I> in <I>H,</I> & umbilicis <I>S, H,</I> axe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3132 principali rectam <I>VH</I> æquante, de$cribatur Trajectoria. Dico fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3133 ctum. Namque <I>VH</I> e$$e ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3134 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3135 <I>SH</I> ut <I>VK</I> ad <I>SK,</I> atque adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3136 ut axis principalis Trajectoriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3137 de$cribendæ ad di$tantiam um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3138 bilicorum ejus, patet ex demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3139 $lratis in Ca$u $ecundo, & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3140 terea Trajectoriam de$criptam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3141 eju$dem e$$e $peciei cum de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3142 benda; rectam vero <I>TR</I> qua an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3143 gulus <I>VRS</I> bi$ecatur, tangere Trajectoriam in puncto <I>R,</I> patet ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3144 Conicis. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3145 <p><I>Cas.</I> 4. Circa umbilicum <I>S</I> de$cribenda jam $it Trajectoria <I>APB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3146 quæ tangat rectam <I>TR,</I> tran$eatque per punctum quodvis <I>P</I> extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3147 tangentem datum, quæque $imilis $it Figuræ <I>apb,</I> axe principali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3148 <I>ab</I> & umbilicis <I>s, h</I> de$criptæ. In tangentem <I>TR</I> demitte per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3149 pendiculum <I>ST,</I> & produc idem ad <I>V,</I> ut $it <I>TV</I> æqualis <I>ST.</I> An-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3150 gulis autem <I>VSP, SVP</I> fac angulos <I>hsq, shq</I> æquales; cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3151 troque <I>q</I> & intervallo quod $it ad <I>ab</I> ut <I>SP</I> ad <I>VS</I> de$cribe circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3152 lum $ecantem Figuram <I>apb</I> in <I>p.</I> Junge <I>sp</I> & age <I>SH</I> quæ $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3153 <I>sh</I> ut e$t <I>SP</I> ad <I>sp,</I> quæque angulum <I>PSH</I> angulo <I>psh</I> & angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3154 <I>VSH</I> angulo <I>psq</I> æquales con$tituat. Denique umbilicis <I>S, H,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3155 & axe principali <I>AB</I> di$tantiam <I>VH</I> æquante, de$cribatur $ectio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3156 Conica. Dico factum. Nam $i agatur <I>sv</I> quæ $it ad <I>sp</I> ut e$t <I>sh</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3157 <pb n=63>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3158 ad <I>sq,</I> quæque con$tituat angulum <I>vsp</I> angulo <I>hsq</I> & angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3159 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3160 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3161 <I>vsh</I> angulo <I>psq</I> æquales, triangula <I>svh, spq</I> erunt $imilia, & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3162 terea <I>vh</I> erit ad <I>pq</I> ut e$t <I>sh</I> ad <I>sq,</I> id e$t (ob $imilia triangula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3163 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3164 <I>VSP, hsq</I>) ut e$t <I>VS</I> ad <I>SP</I> $eu <I>ab</I> ad <I>pq.</I> Æquantur ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3165 <I>vh</I> & <I>ab.</I> Porro ob $imilia triangula <I>VSH. vsh,</I> e$t <I>VH</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3166 <I>SH</I> ut <I>vh</I> ad <I>sh,</I> id e$t, axis Conicæ $ectionis jam de$criptæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3167 illius umbilicorum intervallum, ut axis <I>ab</I> ad umbilicorum inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3168 vallum <I>sh</I>; & propterea Figura jam de$eripta $imilis e$t Figuræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3169 <I>apb.</I> Tran$it autem hæc Figura per punctum <I>P,</I> eo quod trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3170 gulum <I>PSH</I> $imile $it triangulo <I>psh</I>; & quia <I>VH</I> æquatur ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3171 axi & <I>VS</I> bi$ecatur perpendiculariter a recta <I>TR,</I> tangit eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3172 rectam <I>TR. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3173 <C>LEMMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3174 <C><I>A datis tribus punctis ad quartum non datum inflectere tres rectas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3175 quarum differentiæ vel dantur vel nullæ $unt.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3176 <p><I>Cas.</I> 1. Sunto puncta illa data <I>A, B, C</I> & punctum quartum <I>Z,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3177 quod invenire oportet; Ob datam differentiam linearum <I>AZ, BZ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3178 locabitur punctum <I>Z</I> in Hyperbola cujus umbilici $unt <I>A</I> & <I>B,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3179 principalis axis differentia illa data. Sit axis ille <I>MN.</I> Cape <I>PM.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3180 <pb n=64>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3181 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3182 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3183 ad <I>MA</I> ut e$t <I>MN</I> ad <I>AB,</I> & erecta <I>PR</I> perpendiculari ad <I>AB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3184 demi$$aque <I>ZR</I> perpendiculari ad <I>PR</I>; erit, ex natura hujus Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3185 perbolæ, <I>ZR</I> ad <I>AZ</I> ut e$t <I>MN</I> ad <I>AB.</I> Simili di$cur$u punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3186 <I>Z</I> locabitur in alia Hyperbola, cujus umbilici $unt <I>A, C</I> & princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3187 palis axis differentia inter <I>AZ</I> & <I>CZ,</I> ducique pote$t <I>QS</I> ip$i <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3188 perpendicularis, ad quam $i ab Hyperbolæ hujus puncto quovis <I>Z</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3189 demittatur normalis <I>ZS,</I> hæc fuerit ad <I>AZ</I> ut e$t differentia inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3190 <I>AZ</I> & <I>CZ</I> ad <I>AC.</I> Dantur ergo rationes ip$arum <I>ZR</I> & <I>ZS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3191 ad <I>AZ,</I> & idcirco datur earun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3192 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3193 dem <I>ZR</I> & <I>ZS</I> ratio ad invicem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3194 ideoque $i rectæ <I>RP, SQ</I> concur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3195 rant in <I>T,</I> & agatur <I>TZ,</I> figura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3196 <I>TRZS,</I> dabitur $pecie, & recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3197 <I>TZ</I> in qua punctum <I>Z</I> alicubi lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3198 catur, dabitur po$itione. Eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3199 methodo per Hyperbolam ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3200 tiam, cujus umbilici $unt <I>B</I> & <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3201 & axis principalis differentia re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3202 ctarum <I>BZ, CZ,</I> inveniri pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3203 alia recta in qua p&utilde;ctum <I>Z</I> locatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3204 Habitis autem duobus Locis recti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3205 lineis, habetur punctum quæ$itum <I>Z</I> in eorum inter$ectione. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3206 <p><I>Cas.</I> 2. Si duæ ex tribus lineis, puta <I>AZ</I> & <I>BZ</I> æquantur, pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3207 ctum <I>Z</I> locabitur in perpendiculo bi$ecante di$tantiam <I>AB,</I> & lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3208 cus alius rectilineus invenietur ut $upra. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3209 <p><I>Cas.</I> 3. Si omnes tres æquantur, locabitur punctum <I>Z</I> in centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3210 Circuli per puncta <I>A, B, C</I> tran$euntis. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3211 <p>Solvitur etiam hoc Lemma problematicum per Librum Tactio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3212 num <I>Apollonii</I> a <I>Vieta</I> re$titutum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3213 <C>PROPOSITIO XXI. PROBLEMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3214 <C><I>Trajectoriam circa datum umbilicum de$cribere, quæ tran$ibit per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3215 puncta data & rectas po$itione datas continget.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3216 <p>Detur umbilicus <I>S,</I> punctum <I>P,</I> & tangens <I>TR,</I> & invenien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3217 dus $it umbilicus alter <I>H.</I> Ad tangentem demitte perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3218 <I>ST,</I> & produc idem ad <I>Y,</I> ut $it <I>TY</I> æqualis <I>ST,</I> & erit <I>YH</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3219 qualis axi principali. Junge <I>SP, HP,</I> & erit <I>SP</I> differentia inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3220 <I>HP</I> & axem principalem. Hoc modo $i dentur plures tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3221 <pb n=65>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3222 tes <I>TR,</I> vel plura puncta <I>P,</I> devenietur $emper ad lineas totidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3223 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3224 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3225 <I>YH,</I> vel <I>PH,</I> a dictis punctis <I>Y</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3226 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3227 <I>P</I> ad umbilicum <I>H</I> ductas, quæ vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3228 æquantur axibus, vel datis longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3229 dinibus <I>SP</I> differunt ab ii$dem, at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3230 que adeo quæ vel æquantur $ibi invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3231 cem, vel datas habent differentias; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3232 inde, per Lemma $uperius, datur umbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3233 licus ille alter <I>H.</I> Habitis autem um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3234 bilicis una cum axis longitudine (quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3235 vel e$t <I>YH</I>; vel, $i Trajectoria Ellip$is e$t, <I>PH+SP</I>; $in Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3236 perbola, <I>PH-SP</I>) habetur Trajectoria. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3237 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3238 <p>Ca$us ubi dantur tria puncta $ic $olvitur expeditius. Dentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3239 puncta <I>B, C, D.</I> Junctas <I>BC, CD</I> produc ad <I>E, F,</I> ut $it <I>EB</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3240 <I>EC</I> ut <I>SB</I> ad <I>SC,</I> & <I>FC</I> ad <I>FD</I> ut <I>SC</I> ad <I>SD.</I> Ad <I>EF</I> ductam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3241 & productam demitte normales <I>SG, BH,</I> inque <I>GS</I> infinite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3242 producta cape <I>GA</I> ad <I>AS</I> & <I>Ga</I> ad <I>aS</I> ut e$t <I>HB</I> ad <I>BS</I>; & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3243 <I>A</I> vertex, & <I>Aa</I> axis principalis Trajectoriæ: quæ, perinde ut <I>GA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3244 major, æqualis, vel minor fuerit quam <I>AS,</I> erit Ellip$is, Parabola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3245 vel Hyperbola; pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3246 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3247 cto <I>a</I> in primo ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3248 cadente ad eandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3249 partem lineæ <I>GF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3250 cum puncto <I>A</I>; in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3251 $ecundo ca$u abeunte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3252 in infinitum; in tertio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3253 cadente ad contrari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3254 am partem lineæ <I>GF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3255 Nam $i demittantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3256 ad <I>GF</I> perpendicula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3257 <I>CI, DK</I>; erit <I>IC</I> ad <I>HB</I> ut <I>EC</I> ad <I>EB,</I> hoc e$t, ut <I>SC</I> ad <I>SB</I>; & vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3258 ci$$im <I>IC</I> ad <I>SC</I> ut <I>HB</I> ad <I>SB</I> $ive ut <I>GA</I> ad <I>SA.</I> Et $imili argumento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3259 probabitur e$$e <I>KD</I> ad <I>SD</I> in eadem ratione. Jacent ergo puncta <I>B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3260 C, D</I> in Coni$ectione circa umbilicum <I>S</I> ita de$cripta, ut rectæ omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3261 ab umbilico <I>S</I> ad $ingula Sectionis puncta ductæ, $int ad perpendicula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3262 a punctis ii$dem ad rectam <I>GF</I> demi$$a in data illa ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3263 <p>Methodo haud multum di$$imili hujus problematis $olutionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3264 tradit Clari$$imus Geometra <I>de la Hire,</I> Conicorum $uorum Lib.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3265 VIII. Prop. XXV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3266 <pb n=66>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3267 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3268 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3269 <C>SECTIO V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3270 <C><I>Inventio Orbium ubi umbilicus neuter datur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3271 <C>LEMMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3272 <p><I>Si a datæ Conicæ Sectionis puncto quovis</I> P, <I>ad Trapezii alicujus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3273 ABDC, <I>in Conica illa $ectione in$cripti, latera quatuor infinite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3274 producta</I> AB, CD, AC, DB, <I>totidem rectæ</I> PQ, PR, PS, PT
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3275 <I>in datis angulis ducantur, $ingulæ ad $ingula: rectangulum duc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3276 tarum ad oppo$ita duo latera</I> PQXPR, <I>erit ad rectangulum duc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3277 tarum ad alia duo latera oppo$ita</I> PSXPT <I>in data ratione.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3278 <p><I>Cas.</I> 1. Ponamus primo lineas ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3279 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3280 oppo$ita latera ductas parallelas e$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3281 $e alterutri reliquorum laterum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3282 puta <I>PQ</I> & <I>PR</I> lateri <I>AC,</I> & <I>PS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3283 ac <I>PT</I> lateri <I>AB.</I> Sintque in$uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3284 latera duo ex oppo$itis, puta <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3285 & <I>BD,</I> $ibi invicem paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3286 la. Et recta quæ bi$ecat paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3287 la illa latera erit una ex diametris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3288 Conicæ $ectionis, & bi$ecabit eti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3289 am <I>RQ.</I> Sit <I>O</I> punctum in quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3290 <I>RQ</I> bi$ecatur, & erit <I>PO</I> ordinatim applicata ad diametrum illam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3291 Produc <I>PO</I> ad <I>K</I> ut $it <I>OK</I> æqualis <I>PO,</I> & erit <I>OK</I> ordinatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3292 applicata ad contrarias partes diametri. Cum igitur puncta <I>A, B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3293 P</I> & <I>K</I> $int ad Conicam $ectionem, & <I>PK</I> $ecet <I>AB</I> in dato an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3294 gulo, erit (per Prop.17 & 18 Lib. III Conicorum <I>Apollonii</I>) rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3295 lum <I>PQK</I> ad rectangulum <I>AQB</I> in data ratione. Sed <I>QK</I> & <I>PR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3296 æquales $unt, utpote æqualium <I>OK, OP,</I> & <I>OQ, OR</I> differentiæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3297 & inde etiam rectangula <I>PQK</I> & <I>PQXPR</I> æqualia $unt; at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3298 que adeo rectangulum <I>PQXPR</I> e$t ad rectangulum <I>AQB,</I> hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3299 e$t ad rectangulum <I>PSXPT</I> in data ratione. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3300 <pb n=67>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3301 <p><I>Cas.</I> 2. Ponamus jam Trapezii latera oppo$ita <I>AC</I> & <I>BD</I> non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3302 <MARG>LIBIR
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3303 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3304 e$$e parallela. Age <I>Bd</I> parallelam <I>AC</I> & occurrentem tum rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3305 <I>ST</I> in <I>t,</I> tum Conicæ $ectioni in <I>d.</I> Junge <I>Cd</I> $ecantem <I>PQ</I> in <I>r,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3306 & ip$i <I>PQ</I> parallelam age <I>DM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3307 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3308 $ecantem <I>Cd</I> in <I>M</I> & <I>AB</I> in <I>N.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3309 Jam ob $imilia triangula <I>BTt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3310 DBN</I>; e$t <I>Bt</I> $eu <I>PQ</I> ad <I>Tt</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3311 <I>DN</I> ad <I>NB.</I> Sic & <I>Rr</I> e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3312 <I>AQ</I> $eu <I>PS</I> ut <I>DM</I> ad <I>AN.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3313 Ergo, ducendo antecedentes in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3314 antecedentes & con$equentes in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3315 con$equentes, ut rectangulum <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3316 in <I>Rr</I> e$t ad rectangulum <I>PS</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3317 <I>Tt,</I> ita rectangulum <I>NDM</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3318 ad rectangulum <I>ANB,</I> & (per Ca$.1) ita rectangulum <I>PQ</I> in <I>Pr</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3319 ad rectangulum <I>PS</I> in <I>Pt,</I> ac divi$im ita rectangulum <I>PQXPR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3320 e$t ad rectangulum <I>PSXPT. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3321 <p><I>Cas.</I> 3. Ponamus denique lineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3322 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3323 quatuor <I>PQ, PR, PS, PT</I> non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3324 e$$e parallelas lateribus <I>AC, AB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3325 $ed ad ea utcunque inclinatas. Ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3326 rum vice age <I>Pq, Pr</I> parallelas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3327 ip$i <I>AC</I>; & <I>Ps, Pt</I> parallelas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3328 ip$i <I>AB</I>; & propter datos angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3329 los triangulorum <I>PQq, PRr,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3330 PSs, PTt,</I> dabuntur rationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3331 <I>PQ</I> ad <I>Pq, PR</I> ad <I>Pr, PS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3332 ad <I>Ps,</I> & <I>PT</I> ad <I>Pt</I>; atque adeo rationes compo$itæ <I>PQXPR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3333 ad <I>PqXPr,</I> & <I>PSXPT</I> ad <I>PsXPt.</I> Sed, per $uperius de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3334 mon$trata, ratio <I>PqXPr</I> ad <I>PsXPt</I> data e$t: Ergo & ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3335 <I>PQXPR</I> ad <I>PSXPT. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3336 <C>LEMMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3337 <p><I>Ii$dem po$itis, $i rectangulum ductarum ad oppo$ita duo latera Tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3338 pezii</I> PQXPR <I>$it adrectangulum ductarum ad reliqua duo late-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3339 ra</I> PSXPT <I>in data ratione; punctum</I> P, <I>a quo lineæ ducuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3340 tanget Conicam $ectionem circa Trapezium de$criptam.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3341 <pb n=68>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3342 <p>Per puncta <I>A, B, C, D</I> & aliquod infinitorum punctorum <I>P,</I> pu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3343 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3344 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3345 ta <I>p,</I> concipe Conicam $ectionem de$cribi: dico punctum <I>P</I> hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3346 $emper tangere. Si negas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3347 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3348 junge <I>AP</I> $ecantem hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3349 Conicam $ectionem alibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3350 quam in <I>P,</I> $i fieri pote$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3351 puta in <I>b.</I> Ergo $i ab his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3352 punctis <I>p</I> & <I>b</I> ducantur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3353 datis angulis ad latera Tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3354 pezii rectæ <I>pq, pr, ps, pt</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3355 & <I>bk, br, b$, bd</I>; erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3356 ut <I>bkXb</I>r ad <I>b$Xbd</I> ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3357 (per Lem. XVII) <I>pqXpr</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3358 ad <I>psXpt,</I> & ita (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3359 Hypoth.) <I>PQXPR</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3360 <I>PSXPT.</I> E$t & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3361 ter $imilitudinem Trapeziorum <I>bkA$, PQAS,</I> ut <I>bk</I> ad <I>b$</I> ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3362 <I>PQ</I> ad <I>PS.</I> Quare, applicando terminos prioris proportionis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3363 terminos corre$pondentes hujus, erit <I>b</I>r ad <I>bd</I> ut <I>PR</I> ad <I>PT.</I> Er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3364 go Trapezia æquiangula <I>Dr bd, DRPT</I> $imilia $unt, & eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3365 diagonales <I>Db, DP</I> propterea coincidunt. Incidit itaque <I>b</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3366 inter$ectionem rectarum <I>AP, DP</I> adeoque coincidit cum puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3367 <I>P.</I> Quare punctum <I>P,</I> ubicunque $umatur, incidit in a$$ignatam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3368 Conicam $ectionem. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3369 <p><I>Corol.</I> Hinc $i rectæ tres <I>PQ, PR, PS</I> a puncto communi <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3370 ad alias totidem po$itione datas rectas <I>AB, CD, AC,</I> $ingulæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3371 $ingulas, in datis angulis ducantur, $itque rectangulum $ub duabus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3372 ductis <I>PQXPR</I> ad quadratum tertiæ <I>PS quad.</I> in data ratione:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3373 punctum <I>P,</I> a quibus rectæ ducuntur, locabitur in $ectione Conica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3374 quæ tangit lineas <I>AB, CD</I> in <I>A</I> & <I>C</I>; & contra. Nam coeat linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3375 <I>BD</I> cum linea <I>AC</I> manente po$itione trium <I>AB, CD, AC</I>; de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3376 in coeat etiam linea <I>PT</I> cum linea <I>PS:</I> & rectangulum <I>PSXPT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3377 evadet <I>PS quad.</I> rectæque <I>AB, CD</I> quæ curvam in punctis <I>A</I> & <I>B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3378 C</I> & <I>D</I> $ecabant, jam Curvam in punctis illis coeuntibus non am-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3379 plius $ecare po$$unt $ed tantum tangent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3380 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3381 <p>Nomen Conicæ $ectionis in hoc Lemmate late $umitur, ita ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3382 $ectio tam Rectilinea per verticem Coni tran$iens, quam Circularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3383 ba$i parallela includatur. Nam $i punctum <I>p</I> incidit in rectam, qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3384 quævis ex punctis quatuor <I>A, B, C, D</I> junguntur, Conica $ectio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3385 <pb n=69>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3386 vertetur in geminas Rectas, quarum una e$t recta illa in quam pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3387 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3388 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3389 ctum <I>p</I> incidit, & altera e$t recta qua alia duo ex punctis quatuor jun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3390 guntur. Si Trapezii anguli duo oppo$iti $imul $umpti æquentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3391 duobus rectis, & lineæ quatuor <I>PQ, PR, PS, PT</I> ducantur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3392 latera ejus vel perpendiculariter vel in angulis quibu$vis æqualibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3393 $itque rectangulum $ub duabus ductis <I>PQXPR</I> æquale rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3394 lo $ub duabus aliis <I>PSXPT,</I> Sectio conica evadet Circulus. Idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3395 fiet $i lineæ quatuor ducantur in angulis quibu$vis & rectangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3396 $ub duabus ductis <I>PQXPR</I> $it ad rectangulum $ub aliis duabus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3397 <I>PSXPT</I> ut rectangulum $ub $inubus angulorum <I>S, T,</I> in quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3398 duæ ultimæ <I>PS, PT</I> ducuntur, ad rectangulum $ub $inubus angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3399 lorum <I>Q, R,</I> in quibus duæ primæ <I>PQ, PR</I> ducuntur. Cæteris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3400 in ca$ibus Locus puncti <I>P</I> erit aliqua trium figurarum quæ vulgo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3401 nominantur Sectiones Conicæ. Vice autem Trapezii <I>ABCD</I> $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3402 $titui pote$t Quadrilaterum cujus latera duo oppo$ita $e mutuo in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3403 $tar diagonalium decu$$ant. Sed & e punctis quatuor <I>A, B, C, D</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3404 po$$unt unum vel duo abire ad infinitum, eoque pacto latera fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3405 guræ quæ ad puncta illa convergunt, evadere parallela: quo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3406 ca$u Sectio Conica tran$ibit per cætera puncta, & in plagas paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3407 larum abibit in infinitum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3408 <C>LEMMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3409 <p><I>Invenire punct&utilde;</I> P, <I>a quo $irectæ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3410 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3411 <I>quatuor</I> PQ, PR, PS, PT,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3412 <I>ad alias totidem po$itione da
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3413 tas rectas</I> AB, CD, AC, BD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3414 <I>$ingulæ ad $ingulas in datis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3415 angulis ducantur, rectangul&utilde;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3416 $ub duabus ductis,</I> PQXPR,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3417 <I>$it ad rectangulum $ub aliis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3418 duabus,</I> PSXPT, <I>in data ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3419 tione.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3420 <p>Lineæ <I>AB, CD,</I> ad quas rectæ duæ <I>PQ, PR,</I> unum rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3421 gulorum continentes ducuntur, conveniant cum aliis duabus po$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3422 tione datis lineis in punctis <I>A, B, C, D.</I> Ab eorum aliquo <I>A</I> age
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3423 rectam quamlibet <I>AH,</I> in qua velis punctum <I>P</I> reperiri. Secet ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3424 lineas oppo$itas <I>BD, CD,</I> nimirum <I>BD</I> in <I>H</I> & <I>CD</I> in <I>I,</I> & ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3425 datos omnes angulos figuræ, dabuntur rationes <I>PQ</I> ad <I>PA</I> & <I>PA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3426 <pb n=70>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3427 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3428 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3429 ad <I>PS,</I> adeoque ratio <I>PQ</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3430 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3431 <I>PS.</I> Auferendo hanca data ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3432 tione <I>PQXPR</I> ad <I>PSXPT,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3433 dabitur ratio <I>PR</I> ad <I>PT,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3434 addendo datas rationes <I>PI</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3435 <I>PR,</I> & <I>PT</I> ad <I>PH</I> dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3436 ratio <I>PI</I> ad <I>PH</I> atque adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3437 punctum <I>P. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3438 <p><I>Corol.</I> 1. Hinc etiam ad Loci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3439 punctorum infinitorum <I>P</I> pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3440 ctum quodvis <I>D</I> tangens duci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3441 pote$t. Nam chorda <I>PD</I> ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3442 puncta <I>P</I> ac <I>D</I> conveniunt, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3443 e$t, ubi <I>AH</I> ducitur per punctum <I>D,</I> tangens evadit. Quo in ca$u,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3444 ultima ratio evane$centium <I>IP</I> & <I>PH</I> invenietur ut $upra. Ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3445 igitur <I>AD</I> due parallelam <I>CF,</I> occurrentem <I>BD</I> in <I>F,</I> & in ea ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3446 tima ratione $ectam in <I>E,</I> & <I>DE</I> tangens erit, propterea quod <I>CF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3447 & evane$cens <I>IH</I> parallelæ $unt, & in <I>E</I> & <I>P</I> fimiliter $ectæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3448 <p><I>Corol.</I> 2. Hinc etiam Locus punctorum omnium <I>P</I> definiri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3449 Per quodvis punctorum <I>A, B, C, D,</I> puta <I>A,</I> duc Loci tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3450 <I>AE</I> & per aliud quodvis punctum <I>B</I> duc tangenti parallelam <I>BF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3451 occurrentem Loco in <I>F.</I> Invenie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3452 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3453 tur autem punctum <I>F</I> per Lem. XIX.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3454 Bi$eca <I>BF</I> in <I>G,</I> & acta indefinita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3455 <I>AG</I> erit po$itio diametri ad quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3456 <I>BG</I> & <I>FG</I> ordinatim applicantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3457 Hæc <I>AG</I> occurrat Loco in <I>H,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3458 erit <I>AH</I> diameter $ive latus tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3459 ver$um, ad quod latus rectum erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3460 ut <I>BGq.</I> ad <I>AGH.</I> Si <I>AG</I> nullibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3461 occurrit Loco, linea <I>AH</I> exi$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3462 infinita, Locus erit Parabola & la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3463 rum rectum ejus ad diametrum <I>AG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3464 pertinens erit (<I>BGq./AG</I>) Sin ea alicubi occurrit, Locus Hyperbola erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3465 ubi puncta <I>A</I> & <I>H</I> $ita $unt ad ea$dem partes ip$ius <I>G:</I> & Ellip$is,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3466 ubi <I>G</I> intermedium e$t, ni$i forte angulus <I>AGB</I> rectus $it & in$uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3467 <I>BG quad.</I> æquale rectangulo <I>AGH,</I> quo in ca$u Circulus habebitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3468 <p>Atque ita Problematis Veterum de quatuor lineis ab <I>Euclide</I> incæp-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3469 ti & ab <I>Apollonio</I> continuati non calculus, $ed compo$itio Geometri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3470 ca, qualem Veteres quærebant, in hoc Corollario exhibetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3471 <pb n=71>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3472 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3473 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3474 <C>LEMMA XX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3475 <p><I>Si Parallelogr ammum quodvis</I> ASPQ <I>angulis duobus oppo$itis</I> A <I>&</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3476 P <I>tangit $ectionem quamvis Conicam in punctis</I> A <I>&</I> P; <I>&, lateri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3477 bus unius angulorum illorum infinite productis</I> AQ, AS, <I>occurrit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3478 eidem $ectioni Conicæ in</I> B <I>&</I> C; <I>a punctis autem occur$uum</I> B <I>&</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3479 C <I>ad quintum quodvis $ectionis Conicæ punctum</I> D <I>agantur rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3480 tæ duæ</I> BD, CD <I>occurrentes alteris duobus infinite productis pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3481 rallelogrammi lateribus</I> PS, PQ <I>in</I> T <I>&</I> R: <I>erunt $emper ab$ci$$æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3482 laterum partes</I> PR <I>&</I> PT <I>adinvicem in data ratione. Et contra, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3483 partes illæ ab$ci$$æ $unt ad invicem in data ratione, punctum</I> D <I>tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3484 get Sectionem Conicam per puncta quatuor</I> A, B, C, P <I>tran$euntem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3485 <p><I>Cas.</I> 1. Jungantur <I>BP, CP</I> & a puncto <I>D</I> agantur rectæ duæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3486 <I>DG, DE,</I> quarum prior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3487 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3488 <I>DG</I> ip$i <I>AB</I> parallela $it &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3489 occurrat <I>PB, PQ, CA</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3490 <I>H, I, G</I>; altera <I>DE</I> paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3491 lela $it ipfi <I>AC</I> & occurrat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3492 <I>PC, PS, AB</I> in <I>F, K, E:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3493 & erit (per Lemma XVII.) re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3494 ctangulum <I>DEXDF</I> ad re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3495 ctangulum <I>DGXDH</I> in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3496 tione data. Sed e$t <I>PQ</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3497 <I>DE</I> ($eu <I>IQ</I>) ut <I>PB</I> ad <I>HB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3498 adeoque ut <I>PT</I> ad <I>DH</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3499 vici$$im <I>PQ</I> ad <I>PT</I> ut <I>DE</I> ad <I>DH.</I> E$t & <I>PR</I> ad <I>DF</I> ut <I>RC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3500 ad <I>DC,</I> adeoque ut (<I>IG</I> vel) <I>PS</I> ad <I>DG,</I> & vici$$im <I>PR</I> ad <I>PS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3501 ut <I>DF</I> ad <I>DG</I>; & conjunctis rationibus fit rectangulum <I>PQXPR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3502 ad rectangulum <I>PSXPT</I> ut rectangulum <I>DEXDF</I> ad rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3503 gulum <I>DGXDH,</I> atque adeo in data ratione. Sed dantur <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3504 & <I>PS</I> & propterea ratio <I>PR</I> ad <I>PT</I> datur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3505 <p><I>Cas.</I> 2. Quod $i <I>PR</I> & <I>PT</I> ponantur in data ratione ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3506 cem, tum $imili ratiocinio regrediendo, $equetur e$$e rectangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3507 <I>DEXDF</I> ad rectangulum <I>DGXDH</I> in ratione data, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3508 punctum <I>D</I> (per Lemma XVIII.) contingere Conicam $ectionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3509 tran$euntem per puncta <I>A, B, C, P. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3510 <pb n=72>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3511 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3512 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3513 <p><I>Corol.</I> 1. Hinc $i agatur <I>BC</I> $ecans <I>PQ</I> in <I>r,</I> & in <I>PT</I> capiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3514 <I>Pt</I> in ratione ad <I>Pr</I> quam habet <I>PT</I> ad <I>PR:</I> erit <I>Bt</I> tangens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3515 Conicæ $ectionis ad punctum <I>B.</I> Nam concipe punctum <I>D</I> coire
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3516 cum puncto <I>B</I> ita ut, chorda <I>BD</I> evane$cente, <I>BT</I> tangens eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3517 dat; & <I>CD</I> ac <I>BT</I> coincident cum <I>CB</I> & <I>Bt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3518 <p><I>Corol.</I> 2. Et vice ver$a $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3519 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3520 <I>Bt</I> fit tangens, & ad quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3521 vis Conicæ $ectionis punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3522 tum <I>D</I> conveniant <I>BD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3523 CD</I>; erit <I>PR</I> ad <I>PT</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3524 ut <I>Pr</I> ad <I>Pt.</I> Et contra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3525 $i $it <I>PR</I> ad <I>PT</I> ut <I>Pr</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3526 <I>Pt:</I> convenient <I>BD, CD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3527 ad Conicæ Sectionis punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3528 um aliquod <I>D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3529 <p><I>Corol.</I> 3. Conica $ectio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3530 non $ecat Conicam $ectio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3531 nem in punctis pluribus quam quatuor. Nam, $i fieri pote$t, tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3532 eant duæ Conicæ $ectiones per quinque puncta <I>A, B, C, P, O</I>; ea$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3533 que $ecet recta <I>BD</I> in punctis <I>D, d,</I> & ip$am <I>PQ</I> $ecet recta <I>Cd</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3534 in r. Ergo <I>PR</I> e$t ad <I>PT</I> ut <I>P</I>r ad <I>PT</I>; unde <I>PR</I> & <I>P</I>r $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3535 invicem æquantur, contra Hypothe$in.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3536 <C>LEMMA XXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3537 <p><I>Si rectæ duæ mobiles & infinitæ</I> BM, CM <I>per data puncta</I> B, C, <I>ceu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3538 polos ductæ, concur$u $uo</I> M <I>de$cribant tertiam po$itione da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3539 tam rectam</I> MN; <I>& aliæ duæ infinitæ rectæ</I> BD, CD <I>cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3540 prioribus duabus ad puncta illa data</I> B, C <I>datos angulos</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3541 MBD, MCD <I>efficientes ducantur; dico quod hæ duæ</I> BD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3542 CD <I>concur$u $uo</I> D <I>de$cribent $ectionem Conicam per puncta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3543 B, C <I>tran$euntem. Et vice ver$a, $i rectæ</I> BD, CD <I>concur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3544 $uo</I> D <I>de$cribant Sectionem Conicam per data puncta</I> B, C, A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3545 <I>tran$euntem, & $it angulus</I> DBM <I>$emper æqualis angulo dato</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3546 ABC, <I>angulu$que</I> DCM <I>$emper æqualis angulo dato</I> ACB:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3547 <I>punctum</I> M <I>continget rectam po$itione datam.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3548 <pb n=73>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3549 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3550 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3551 <p>Nam in recta <I>MN</I> detur punctum <I>N,</I> & ubi punctum mobile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3552 <I>M</I> incidit in immotum <I>N,</I> incidat punctum mobile <I>D</I> in immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3553 tum <I>P,</I> Junge <I>CN, BN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3554 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3555 <I>CP, BP,</I> & a puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3556 <I>P</I> age rectas <I>PT, PR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3557 occurrentes ip$is <I>BD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3558 CD</I> in <I>T</I> & <I>R,</I> & fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3559 cientes angulum <I>BPT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3560 æqualem angulo dato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3561 <I>BNM,</I> & angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3562 <I>CPR</I> æqualem angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3563 gulo dato <I>CNM.</I> Cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3564 ergo (ex Hypothe$i)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3565 æquales $int anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3566 <I>MBD, NBP,</I> ut &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3567 anguli <I>MCD, NCP</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3568 aufer communes <I>NBD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3569 & <I>NCD,</I> & re$tabunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3570 æquales <I>NBM</I> & <I>PBT,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3571 NCM</I> & <I>PCR:</I> adeoque triangula <I>NBM, PBT</I> $imilia $unt, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3572 & triangula <I>NCM, PCR.</I> Quare <I>PT</I> e$t ad <I>NM</I> ut <I>PB</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3573 <I>NB,</I> & <I>PR</I> ad <I>NM</I> ut <I>PC</I> ad <I>NC.</I> Sunt autem puncta <I>B, C, N, P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3574 immobilia. Ergo <I>PT</I> & <I>PR</I> datam habent rationem ad <I>NM,</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3575 indeque datam rationem inter $e; atque adeo, per Lemma xx,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3576 punctum <I>D</I> (perpetuus rectarum mobilium <I>BT</I> & <I>CR</I> concur$us)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3577 contingit $ectionem Conicam, per puncta <I>B, C, P</I> tran$euntem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3578 <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3579 <p>Et contra, $i punctum mobile <I>D</I> contingat $ectionem Conicam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3580 tran$euntem per data puncta <I>B, C, A,</I> & $it angulus <I>DBM</I> $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3581 æqualis angulo dato <I>ABC,</I> & angulus <I>DCM</I> $emper æqualis angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3582 lo dato <I>ACB,</I> & ubi punctum <I>D</I> incidit $ucce$$ive in duo quævis $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3583 ctionis puncta immobilia <I>p, P,</I> punctum mobile <I>M</I> incidat $ucce$$ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3584 in puncta duo immobilia <I>n, N:</I> per eadem <I>n, N</I> agatur Recta <I>n N,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3585 & hæc erit Locus perpetuus puncti illius mobilis <I>M.</I> Nam, $i fieri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3586 pote$t, ver$etur punctum <I>M</I> in linea aliqua Curva. Tanget ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3587 punctum <I>D</I> $ectionem Conicam per puncta quinque <I>B, CA, p, P,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3588 tran$euntem, ubi punctum <I>M</I> perpetuo tangit lineam Curvam. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3589 & ex jam demon$tratis tanget etiam punctum <I>D</I> $ectionem Coni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3590 cam per eadem quinque puncta <I>B, C, A, p, P</I> tran$euntem, ubi pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3591 <pb n=74>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3592 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3593 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3594 ctum <I>M</I> perpetuo tangit lineam Rectam. Ergo duæ $ectiones Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3595 nicæ tran$ibunt per eadem quinque puncta, contra Corol. 3. Lem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3596 xx. Igitur punctum <I>M</I> ver$ari in linea Curva ab$urdum e$t. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3597 <C>PROPOSITIO XXII. PROBLEMA. XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3598 <C><I>Trajectoriam per data quinque puncta de$cribere.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3599 <p>Dentur puncta quinque <I>A, B, C, P, D.</I> Ab eorum aliquo <I>A</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3600 alia duo quævis <I>B, C,</I> quæ poli nominentur, age rectas <I>AB, AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3601 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3602 hi$que parallelas <I>TPS, PRQ</I> per punctum quartum <I>P.</I> De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3603 inde a polis duobus <I>B, C</I> age per punctum quintum <I>D</I> infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3604 tas duas <I>BDT, CRD,</I> novi$$ime ductis <I>TPS, PRQ</I> (prio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3605 rem priori & po$teriorem po$teriori) occurrentes in <I>T</I> & <I>R.</I> De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3606 nique de rectis <I>PT, PR,</I> acta recta <I>tr</I> ip$i <I>TR</I> parallela, ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3607 $cinde qua$vis <I>Pt, Pr</I> ip$is <I>PT, PR</I> proportionales; & $i per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3608 earum terminos <I>t, r</I> & polos <I>B, C</I> actæ <I>Bt, Cr</I> concurrant in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3609 <I>d,</I> locabitur punctum illud <I>d</I> in Trajectoria quæ$ita. Nam punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3610 tum illud <I>d</I> (per Lemma xx) ver$atur in Conica Sectione per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3611 puncta quatuor <I>A, B, C, P</I> tran$eunte; &, lineis <I>Rr, Tt</I> evane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3612 $centibus, coit punctum <I>d</I> cum puncto <I>D.</I> Tran$it ergo $ectio Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3613 nica per puncta quinque <I>A, B, C, P, D. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3614 <pb n=75>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3615 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3616 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3617 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3618 <p>E punctis datis junge tria quævis <I>A, B, C</I>; &, circum duo eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3619 <I>B, C</I> ceu polos, rotando angulos magnitudine datos <I>ABC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3620 ACB,</I> applicentur cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3621 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3622 ra <I>BA, CA</I> primo ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3623 punctum <I>D,</I> deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3624 ad punctum <I>P,</I> & no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3625 tentur puncta <I>M, N</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3626 quibus altera crura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3627 <I>BL, CL</I> ca$u utroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3628 $e decu$$ant. Agatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3629 recta infinita <I>MN,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3630 rotentur anguli illi mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3631 biles circum polos $uos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3632 <I>B, C,</I> ea lege ut cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3633 rum <I>BL, CL</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3634 <I>BM, CM</I> inter$ectio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3635 quæ jam $it <I>m</I> incidat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3636 $emper in rectam illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3637 infinitam <I>MN</I> & cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3638 rum <I>BA, CA,</I> vel <I>BD, CD</I> inter$ectio, quæ jam $it <I>d,</I> Trajecto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3639 riam quæ$itam <I>PAD dB</I> delineabit. Nam punctum <I>d,</I> per Lem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3640 XXI, continget $ectionem Conicam per puncta <I>B, C</I> tran$euntem; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3641 ubi punctum <I>m</I> accedit ad puncta <I>L, M, N,</I> punctum <I>d</I> (per con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3642 $tructionem) accedet ad puncta <I>A, D, P.</I> De$cribetur itaque $ec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3643 tio Conica tran$iens per puncta quinque <I>A, B, C, P, D. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3644 <p><I>Corol.</I> 1. Hinc recta expedite duci pote$t quæ Trajectoriam quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3645 $itam, in puncto quovis dato <I>B,</I> continget. Accedat punctum <I>d</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3646 punctum <I>B,</I> & recta <I>Bd</I> evadet tangens quæ$ita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3647 <p><I>Corol.</I> 2. Unde etiam Trajectoriarum Centra, Diametri & Latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3648 recta inveniri po$$unt, ut in Corollario $ecundo Lemmatis XIX.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3649 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3650 <p>Con$tructio prior evadet paulo $implicior jungendo <I>BP,</I> & in ea,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3651 $i opus e$t, producta capiendo <I>Bp</I> ad <I>BP</I> ut e$t <I>PR</I> ad <I>PT</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3652 per <I>p</I> agendo rectam infinitam <I>p</I>d ip$i <I>SPT</I> parallelam, inque ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3653 capiendo $emper <I>p</I>d æqualem <I>Pr</I>; & agendo rectas <I>Bd, Cr</I> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3654 currentes in <I>d.</I> Nam cum $int <I>Pr</I> ad <I>Pt, PR</I> ad <I>PT, pB</I> ad <I>PB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3655 p</I>d ad <I>Pt</I> in eadem ratione; erunt <I>p</I>d & <I>Pr</I> $emper æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3656 <pb n=76>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3657 les. Hac methodo puncta Trajectoriæ inveniuntur expediti$$ime,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3658 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3659 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3660 ni$i mavis Curvam, ut in con$tructione $ecunda, de$eribere Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3661 chanice.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3662 <C>PROPOSITIO XXIII. PROBLEMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3663 <C><I>Trajectoriam de$cribere quæ per data quatuor puncta tran$ibit, & rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3664 tam continget po$itione datam.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3665 <p><I>Cas.</I> 1. Dentur tangens <I>HB,</I> punctum contactus <I>B,</I> & alia tria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3666 puncta <I>C, D, P.</I> Junge <I>BC,</I> & agendo <I>PS</I> parallelam <I>BH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3667 & <I>PQ</I> parallelam <I>BC,</I> comple parallelogrammum <I>BSPQ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3668 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3669 Age <I>BD</I> $ecantem <I>SP</I> in <I>T,</I> & <I>CD</I> $ecantem <I>PQ</I> in <I>R.</I> De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3670 nique, agendo quamvis <I>tr</I> ip$i <I>TR</I> parallelam, de <I>PQ, PS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3671 ab$cinde <I>Pr, Pt</I> ip$is <I>PR, PT</I> proportionales re$pective; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3672 actarum <I>Cr, Bt</I> concur$us <I>d</I> (per Lem. xx) incidet $emper in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3673 Trajectoriam de$cribendam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3674 <pb n=77>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3675 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3676 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3677 <C><I>Idem aliter.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3678 <p>Revolvatur tum angulus magnitudine datus <I>CBH</I> circa polum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3679 <I>B,</I> tum radius quilibet rectilineus & utrinque productus <I>DC</I> cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3680 ca polum <I>C.</I> Notentur puncta <I>M, N</I> in quibus anguli crus <I>BC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3681 $ecat radium illum ubi crus alterum <I>BH</I> concurrit cum eodem ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3682 dio in punctis <I>P</I> & <I>D.</I> Deinde ad actam infinitam <I>MN</I> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3683 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3684 currant perpetuo radius ille <I>CP</I> vel <I>CD</I> & anguli crus <I>BC,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3685 cruris alterius <I>BH</I> concur$us cum radio delineabit Trajectoriam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3686 quæ$itam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3687 <p>Nam $i in con$tructionibus Problematis $uperioris accedat punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3688 tum <I>A</I> ad punctum <I>B,</I> lineæ <I>CA</I> & <I>CB</I> coincident, & linea <I>AB</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3689 ultimo $uo $itu fiet tangens <I>BH,</I> atque adeo con$tructiones ibi po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3690 $itæ evadent eædem cum con$tructionibus hic de$criptis. Delinea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3691 bit igitur cruris <I>BH</I> concur$us cum radio $ectionem Conicam per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3692 puncta <I>C, D, P</I> tran$euntem, & rectam <I>BH</I> tangentem in puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3693 <I>B. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3694 <p><I>Cas.</I> 2. Dentur puncta quatuor <I>B, C, D, P</I> extra tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3695 <I>HI</I> $ita. Junge bina lineis <I>BD, CP</I> concurrentibus in <I>G,</I> tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3696 <pb n=78>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3697 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3698 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3699 tique occurrentibus in <I>H</I> & <I>I.</I> Secetur tangens in <I>A,</I> ita ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3700 <I>HA</I> ad <I>AI,</I> ut e$t rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3701 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3702 gulum $ub media proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3703 nali inter <I>CG</I> & <I>GP</I> & me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3704 dia proportionali inter <I>BH</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3705 <I>HD,</I> ad rectangulum $ub me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3706 dia proportionali inter <I>DG</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3707 <I>GB</I> & media proportionali in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3708 ter <I>PI</I> & <I>IC</I>; & erit <I>A</I> punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3709 tum contactus. Nam $i rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3710 <I>PI</I> parallela <I>HX</I> Trajecto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3711 riam $ecet in punctis quibu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3712 vis <I>X</I> & <I>Y:</I> erit (ex Conicis)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3713 punctum <I>A</I> ita locandum, ut fuerit <I>HA quad.</I> ad <I>AI quad.</I> in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3714 tione compo$ita ex ratione rectanguli <I>XHY</I> ad rectangulum <I>BHD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3715 $eu rectanguli <I>CGP</I> ad rectangulum <I>DGB</I> & ex ratione rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3716 guli <I>BHD</I> ad rectangulum <I>PIC.</I> Invento autem contactus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3717 puncto <I>A,</I> de$cribetur Trajectoria ut in ca$u primo. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3718 Capi autem pote$t punctum <I>A</I> vel inter puncta <I>H</I> & <I>I,</I> vel extra;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3719 & perinde Trajectoria dupliciter de$cribi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3720 <C>PROPOSITIO XXIV. PROBLEMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3721 <C><I>Trajectoriam de$cribere quæ tran$ibit per data tria puncta & rectas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3722 duas po$itione datas continget.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3723 <p>Dentur tangentes <I>HI, KL</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3724 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3725 puncta <I>B, C, D.</I> Per punctorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3726 duo quævis <I>B, D</I> age rectam in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3727 finitam <I>BD</I> tangentibus occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3728 rentem in punctis <I>H, K.</I> Deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3729 etiam per alia duo quævis <I>C, D</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3730 age infinitam <I>CD</I> tangentibus oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3731 currentem in punctis <I>I, L.</I> Actas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3732 ita $eca in <I>R</I> & <I>S,</I> ut $it <I>HR</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3733 <I>KR</I> ut e$t media proportionalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3734 inter <I>BH</I> & <I>HD</I> ad mediam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3735 proportionalem inter <I>BK</I> & <I>KD</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3736 & <I>IS</I> ad <I>LS</I> ut e$t media pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3737 portionalis inter <I>CI</I> & <I>ID</I> ad me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3738 diam proportionalem inter <I>CL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3739 <pb n=79>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3740 & <I>LD.</I> Seca autem pro lubitu vel inter puncta <I>K</I> & <I>H,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3741 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3742 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3743 <I>I</I> & <I>L,</I> vel extra eadem: dein age <I>RS</I> $ecantem tangentes in <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3744 & <I>P,</I> & erunt <I>A</I> & <I>P</I> puncta contactuum. Nam $i <I>A</I> & <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3745 $upponantur e$$e puncta contactuum alicubi in tangentibus $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3746 ta; & per punctorum <I>H, I, K, L</I> quodvis <I>I,</I> in tangente al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3747 terutra <I>HI</I> $itum, agatur recta <I>IY</I> tangenti alteri <I>KL</I> paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3748 lela, quæ occurrat curvæ in <I>X</I> & <I>Y,</I> & in ea $umatur <I>IZ</I> me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3749 dia proportionalis inter <I>IX</I> & <I>IY:</I> erit, ex Conicis, rectangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3750 <I>XIY</I> $eu <I>IZ quad.</I> ad <I>LP quad.</I> ut rectangulum <I>CID</I> ad rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3751 gulum <I>CLD,</I> id e$t (per con$tructionem) ut <I>SI quad.</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3752 <I>SL quad:</I> atque adeo <I>IZ</I> ad <I>LP</I> ut <I>SI</I> ad <I>SL.</I> Jacent ergo punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3753 ta <I>S, P, Z</I> in una recta. Porro tangentibus concurrentibus in <I>G,</I> e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3754 rit (ex Conicis) rectangulum <I>XIY</I> $eu <I>IZ quad.</I> ad <I>IA quad.</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3755 <I>GP quad</I> ad <I>GA quad:</I> adeoque <I>IZ</I> & <I>IA</I> ut <I>GP</I> ad <I>GA.</I> Jacent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3756 ergo puncta <I>P, Z</I> & <I>A</I> in una recta, adeoque puncta <I>S, P</I> & <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3757 $unt in una recta. Et eodem argumento probabitur quod puncta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3758 <I>R, P</I> & <I>A</I> $unt in una recta. Jacent igitur puncta contactuum <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3759 & <I>P</I> in recta <I>RS.</I> Hi$ce autem inventis, Trajectoria de$eribetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3760 ut in ca$u primo Problematis $uperioris. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3761 <C>LEMMA XXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3762 <C><I>Figuras in alias eju$dem generis figur as mutare.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3763 <p>Tran$mutanda $it figura quævis <I>HGI.</I> Ducantur pro lubitu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3764 rectæ duæ parallelæ <I>AO, BL</I> tertiam quamvis po$itione datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3765 <I>AB</I> $ecantes in <I>A</I> & <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3766 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3767 & a figuræ puncto quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3768 vis <I>G,</I> ad rectam <I>AB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3769 ducatur quævis <I>GD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3770 ip$i <I>OA</I> parallela. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3771 inde a puncto aliquo <I>O,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3772 in linea <I>OA</I> dato, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3773 punctum <I>D</I> ducatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3774 recta <I>OD,</I> ip$i <I>BL</I> oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3775 currens in <I>d,</I> & a puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3776 occur$us erigatur recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3777 <I>dg</I> datum quemvis angulum cum recta <I>BL</I> continens, atque eam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3778 habens rationem ad <I>Od</I> quam habet <I>DG</I> ad <I>OD</I>; & erit <I>g</I> punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3779 tum in figura nova <I>hgi</I> puncto <I>G</I> re$pondens. Eadem ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3780 puncta $ingula figuræ primæ dabunt puncta totidem figura novæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3781 <pb n=80>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3782 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3783 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3784 Concipe igitur punctum <I>G</I> motu continuo percurrere puncta om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3785 nia figuræ primæ, & punctum <I>g</I> motu itidem continuo percurret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3786 puncta omnia figuræ novæ & eandem de$cribet. Di$tinctionis gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3787 tia nominemus <I>DG</I> ordinatam primam, <I>dg</I> ordinatam novam;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3788 <I>AD</I> ab$ci$$am primam, <I>ad</I> ab$ci$$am novam; <I>O</I> polum, <I>OD</I> ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3789 dium ab$cidentem, <I>OA</I> radium ordinatum primum, & <I>Oa</I> (qno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3790 parallelogrammum <I>OABa</I> completur) radium ordinatum novum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3791 <p>Dico jam quod, $i punctum <I>G</I> tangit rectam Lineam po$itione da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3792 tam, punctum <I>g</I> tanget etiam Lineam rectam po$itione datam. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3793 punctum <I>G</I> tangit Conicam $ectionem, punctum <I>g</I> tanget etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3794 Conicam $ectionem. Conicis $ectionibus hic Circulum annumero.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3795 Porro $i punctum <I>G</I> tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3796 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3797 git Lineam tertii ordinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3798 Analytici, punctum <I>g</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3799 tanget Lineam tertii iti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3800 dem ordinis; & $ic de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3801 curvis lineis $uperiorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3802 ordinum. Lineæ duæ e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3803 runt eju$dem $emper or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3804 dinis Analytici quas pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3805 cta <I>G, g</I> tangunt. Et-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3806 enim ut e$t <I>ad</I> ad <I>OA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3807 ita $unt <I>Od</I> ad <I>OD, dg</I> ad <I>DG,</I> & <I>AB</I> ad <I>AD</I>; adeoque <I>AD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3808 æqualis e$t (<I>OAXAB/ad</I>), & <I>DG</I> æqualis e$t (<I>OAXdg/ad</I>). Jam $i punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3809 tum <I>G</I> tangit rectam Lineam, atque adeo in æquatione quavis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3810 qua relatio inter ab$ci$$am <I>AD</I> & ordinatam <I>DG</I> habetur, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3811 determinatæ illæ <I>AD</I> & <I>DG</I> ad unicam tantum dimen$ionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3812 a$cendunt, $cribendo in hac æquatione (<I>OAXAB/ad</I>) pro <I>AD,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3813 (<I>OAXdg/ad</I>) pro <I>DG,</I> producetur æquatio nova, in qua ab$ci$$a no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3814 va <I>ad</I> & ordinata nova <I>dg</I> ad unicam tantum dimen$ionem a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3815 dent, atque adeo quæ de$ignat Lineam rectam. Sin <I>AD</I> & <I>DG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3816 (vel earum alterutra) a$cendebant ad duas dimen$iones in æquati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3817 one prima, a$cendent itidem <I>ad</I> & <I>dg</I> ad duas in æquatione $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3818 da. Et $ic de tribus vel pluribus dimen$ionibus. Indeterminatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3819 <I>ad, dg</I> in æquatione $ecunda & <I>AD, DG</I> in prima a$cendent $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3820 per ad eundem dimen$ionum numerum, & propterea Lineæ, quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3821 puncta <I>G, g</I> tangunt, $unt eju$dem ordinis Analytici.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3822 <pb n=81>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3823 <p>Dico præterea quod $i recta aliqua tangat lineam curvam in fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3824 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3825 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3826 gura prima; hæc recta eodem modo cum curva in figuram novam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3827 tran$lata tanget lineam illam curvam in figura nova: & contra. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3828 $i Curvæ puncta quævis duo accedunt ad invicem & coeunt in fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3829 gura prima, puncta eadem tran$lata accedent ad invicem & coibunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3830 in figura nova, atque adeo rectæ, quibus hæc puncta junguntur, $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3831 mul evadent curvarum tangentes in figura utraque. Componi po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3832 $ent harum a$$ertionum Demon$trationes more magis Geometrico.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3833 Sed brevitati con$ulo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3834 <p>Igitur $i figura rectilinea in aliam tran$mutanda e$t, $ufficit rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3835 tarum a quibus conflatur inter$ectiones transferre, & per ea$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3836 in figura nova lineas rectas ducere. Sin curvilineam tran$mutare
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3837 oportet, transferenda $unt puncta, tangentes & aliæ rectæ quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3838 ope curva linea definitur. In$ervit autem hoc Lemma $olutioni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3839 difficiliorum Problematum, tran$mutando figuras propo$itas in $im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3840 pliciores. Nam rectæ quævis convergentes tran$mutantur in pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3841 rallelas, adhibendo pro radio ordinato primo, lineam quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3842 vis rectam quæ per concur$um convergentium tran$it: id adeo quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3843 concur$us ille hoc pacto abit in infinitum, lineæ autem parallelæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3844 $unt quæ ad punctum infinite di$tans tendunt. Po$tquam autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3845 Problema $olvitur in figura nova, $i per inver$as operationes tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3846 mutetur hæc figura in figuram primam, habebitur $olutio quæ$ita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3847 <p>Utile e$t etiam hoc Lemma in $olutione Solidorum Problema-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3848 tum. Nam quoties duæ $ectiones Conicæ obvenerint, quarum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3849 ter$ectione Problema $olvi pote$t, tran$mutare licet earum alter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3850 utram, $i Hyperbola $it vel Parabola, in Ellip$in: deinde Ellip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3851 facile mutatur in Circulum. Recta item & $ectio Conica, in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3852 $tructione Planorum Problematum, vertuntur in Rectam & Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3853 culum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3854 <C>PROPOSITIO XXV. PROBLEMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3855 <C><I>Trajectoriam de$cribere qua per data duo puncta tran$ibit & rectas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3856 tres continget po$itione datas.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3857 <p>Per concur$um tangentium quarumvis duarum cum $e invicem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3858 concur$um tangentis tertiæ cum recta illa, quæ per puncta duo data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3859 tran$it, age rectam infinitam; eaque adhibita pro radio ordinato pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3860 mo, tran$mutetur figura, per Lemma $uperius, in figuram novam. In
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3861 <pb n=82>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3862 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3863 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3864 hac figura tangentes illæ duæ evadent $ibi invicem parallelæ, & tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3865 gens tertia fiet parallela rectæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3866 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3867 puncta duo data tran$eunti. Sunto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3868 <I>hi, kl</I> tangentes illæ duæ parallelæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3869 <I>ik</I> tangens tertia, & <I>hl</I> recta huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3870 parallela tran$iens per puncta illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3871 <I>a, b,</I> per quæ Conica $ectio in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3872 figura nova tran$ire debet, & pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3873 rallelogrammum <I>hikl</I> complens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3874 Secentur rectæ <I>hi, ik, kl</I> in <I>c, d, e,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3875 ita ut $it <I>hc</I> ad latus quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3876 rectanguli <I>ahb, ic</I> ad <I>id,</I> & <I>ke</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3877 ad <I>kd</I> ut e$t $umma rectarum <I>hi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3878 & <I>kl</I> ad $ummam trium linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3879 rum quarum prima e$t recta <I>ik,</I> & alteræ duæ $unt latera quadrata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3880 rectangulorum <I>ahb</I> & <I>alb</I> & erunt <I>c, d, e</I> puncta contactuum. Et-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3881 enim, ex Conicis, $unt <I>hc</I> quadratum ad rectangulum <I>ahb,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3882 <I>ic</I> quadratum ad <I>id</I> quadratum, & <I>ke</I> quadratum ad <I>kd</I> quadratum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3883 & <I>el</I> quadratum ad rectangulum <I>alb</I> in eadem ratione; & propter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3884 ea <I>hc</I> ad latus quadratum ip$ius <I>ahb, ic</I> ad <I>id, ke</I> ad <I>kd,</I> & <I>el</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3885 latus quadratum ip$ius <I>alb</I> $unt in $ubduplicata illa ratione, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3886 compo$ite, in data ratione omnium antecedentium <I>hi</I> & <I>kl</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3887 omnes con$equentes, quæ $unt latus quadratum rectanguli <I>ahb</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3888 recta <I>ik</I> & latus quadratum rectanguli <I>alb.</I> Habentur igitur ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3889 data illa ratione puncta contactuum <I>c, d, e,</I> in figura nova. Per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3890 inver$as operationes Lemmatis novi$$imi transferantur hæc pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3891 cta in figuram primam & ibi, per Probl. XIV, de$cribetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3892 Trajectoria. <I>Q.E.F.</I> Ceterum perinde ut puncta <I>a, b</I> ja-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3893 cent vel inter puncta <I>h, l,</I> vel extra, debent puncta <I>c, d, e</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3894 inter puncta <I>h, i, k, l</I> capi, vel extra. Si punctorum <I>a, b</I> al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3895 terutrum cadit inter puncta <I>h, l,</I> & alterum extra, Problema im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3896 po$$ibile e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3897 <C>PROPOSITIO XXVI. PROBLEMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3898 <C><I>Trajectoriam de$cribere quæ tran$ibit per punctum datum & rectas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3899 quatuor po$itione datas continget.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3900 <p>Ab inter$ectione communi duarum quarumlibet tangentium ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3901 inter$ectionem communem reliquarum duarum agatur recta infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3902 <pb n=83>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3903 ta, & eadem pro radio ordinato primo adhibita, tran$mutetur fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3904 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3905 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3906 gura (per Lem. XXII) in figuram novam, & tangentes binæ, quæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3907 radium ordinatum primum concurrebant, jam evadent parallelæ. Sun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3908 to illæ <I>hi</I> & <I>kl, ik</I> & <I>hl</I> continentes parallelogrammum <I>hikl.</I> Sit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3909 que <I>p</I> punctum in hac nova figura, puncto in figura prima dato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3910 re$pondens. Per figuræ centrum <I>O</I> agatur <I>pq,</I> & exi$tente <I>Oq</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3911 quali <I>Op,</I> erit <I>q</I> punctum alterum per quod $ectio Conica in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3912 figura nova tran$ire debet. Per Lemmatis XXII operationem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3913 ver$am transferatur hoc punctum in figuram primam, & ibi habe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3914 buntur puncta duo per quæ Trajectoria de$cribenda e$t. Per ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3915 dem vero de$cribi pote$t Trajectoria illa per Prob. XVII. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3916 <C>LEMMA XXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3917 <p><I>Si rectæ duæ po$itione datæ</I> AC, BD <I>ad data puncta</I> A, B, <I>ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3918 minentur, datamque habeant rationem ad invicem, & recta</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3919 CD, <I>qua puncta indeterminata</I> C, D <I>junguntur, $ecetur in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3920 tione data in</I> K: <I>dico quod punctum</I> K <I>locabitur in recta po$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3921 tione data.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3922 <p>Concurrant enim rectæ <I>AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3923 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3924 <I>BD</I> in <I>E,</I> & in <I>BE</I> capiatur <I>BG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3925 ad <I>AE</I> ut e$t <I>BD</I> ad <I>AC,</I> $it-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3926 que <I>FD</I> $emper æqualis datæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3927 <I>EG</I>; & erit ex con$tructione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3928 <I>EC</I> ad <I>GD,</I> hoc e$t, ad <I>EF</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3929 <I>AC</I> ad <I>BD,</I> adeoque in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3930 data, & propterea dabitur $pecie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3931 triangulum <I>EFC.</I> Secetur <I>CF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3932 in <I>L</I> ut $it <I>CL</I> ad <I>CF</I> in ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3933 ne <I>CK</I> ad <I>CD</I>; &, ob datam il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3934 lam rationem, dabitur etiam $pecie triangulum <I>EFL</I>; proindeque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3935 punctum <I>L</I> locabitur in recta <I>EL</I> po$itione data. Junge <I>LK,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3936 $imilia erunt triangula <I>CLK, CFD</I>; &, ob datam <I>FD</I> & datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3937 rationem <I>LK</I> ad <I>FD,</I> dabitur <I>LK.</I> Huic æqualis capiatur <I>EH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3938 & erit $emper <I>ELKH</I> parallelogrammum. Locatur igitur punc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3939 tum <I>K</I> in parallelogrammi illius latere po$itione dato <I>HK. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3940 <pb n=84>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3941 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3942 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3943 <C>LEMMA XXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3944 <p><I>Si rectæ tres tangant quamcunque Coni$ectionem, quarum duæ pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3945 rallelæ $int ac dentur po$itione; dico quod Sectionis $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3946 meter hi$ce duabus parallela, $it media proportionalis inter ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3947 rum $egmenta, punctis contactuum & tangenti tertiæ inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3948 jecta.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3949 <p>Sunto <I>AF, GB</I> pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3950 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3951 rallelæ duæ Coni$ec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3952 tionem <I>ADB</I> tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3953 gentes in <I>A</I> & <I>B; EF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3954 recta tertia Coni$ec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3955 tionem tangens in <I>I,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3956 & occurrens prioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3957 tangentibus in <I>F</I> & <I>G</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3958 $itque <I>CD</I> $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3959 ter Figuræ tangenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3960 bus parallela: Dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3961 quod <I>AF, CD, BG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3962 $unt continue proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3963 <p>Nam $i diametri conjugatæ <I>AB, DM</I> tangenti <I>FG</I> occurrant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3964 in <I>E</I> & <I>H,</I> $eque mutuo $ecent in <I>C,</I> & compleatur parallelogram-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3965 mum <I>IKCL</I>; erit, ex natura Sectionum Conicarum, ut <I>EC</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3966 <I>CA</I> ita <I>CA</I> ad <I>CL,</I> & ita divi$im <I>EC-CA</I> ad <I>CA-CL,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3967 <I>EA</I> ad <I>AL,</I> & compo$ite <I>EA</I> ad <I>EA+AL</I> $eu <I>EL</I> ut <I>EC</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3968 <I>EC+CA</I> $eu <I>EB</I>; adeoque (ob $imilitudinem triangulorum <I>EAF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3969 ELI, ECH, EBG) AF</I> ad <I>LI</I> ut <I>CH</I> ad <I>BG.</I> E$t itidem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3970 ex natura Sectionum Conicarum, <I>LI</I> ($eu <I>CK</I>) ad <I>CD</I> ut <I>CD</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3971 <I>CH</I>; atque, adeo ex æquo perturbate, <I>AF</I> ad <I>CD</I> ut <I>CD</I> ad <I>BG.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3972 Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3973 <p><I>Corol.</I> 1. Hinc $i tangentes duæ <I>FG, PQ</I> tangentibus parallelis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3974 <I>AF, BG</I> occurrant in <I>F</I> & <I>G, P</I> & <I>Q,</I> $eque mutuo $ecent in <I>O</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3975 erit (ex æquo perturbate) <I>AF</I> ad <I>BQ</I> ut <I>AP</I> ad <I>BG,</I> & divi$im
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3976 ut <I>FP</I> ad <I>GQ,</I> atque adeo ut <I>FO</I> ad <I>OG.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3977 <p><I>Corol.</I> 2. Unde etiam rectæ duæ <I>PG, FQ</I> per puncta <I>P</I> & <I>G,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3978 F</I> & <I>Q</I> ductæ, concurrent ad rectam <I>ACB</I> per centrum Figuræ &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3979 puncta contactuum <I>A, B</I> tran$euntem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3980 <pb n=85>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3981 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3982 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3983 <C>LEMMA XXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3984 <p><I>Si parallelogrammi latera quatuor infinite producta tangant Sectio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3985 nem quamcunque Conicam, & ab$cindantur ad tangentem quamvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3986 quintam; $umantur autem laterum quorumvis duorum contermi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3987 norum ab$ci$$æ terminatæ ad angulos oppo$itos parallelogrammi:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3988 dico quod ab$ci$$a alterutra $it ad latus illud a quo est ab$ci$$a, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3989 pars lateris alterius contermini inter punctum contactus & latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3990 tertium, est ad ab$ci$$arum alteram.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3991 <p>Tangant parallelogrammi <I>MLIK</I> latera quatuor <I>ML, IK, KL,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3992 MI</I> $ectionem Conicam in <I>A, B, C, D,</I> & $ecet tangens quinta <I>FQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3993 hæc latera in <I>F, Q, H</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3994 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3995 & <I>E</I>; $umantur autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3996 laterum <I>MI, KI</I> ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3997 $ci$$æ <I>ME, KQ,</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3998 laterum <I>KL, ML</I> ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	3999 $ci$$æ <I>KH, MF:</I> di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4000 co quod $it <I>ME</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4001 <I>MI</I> ut <I>BK</I> ad <I>KQ</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4002 & <I>KH</I> ad <I>KL</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4003 <I>AM</I> ad <I>MF.</I> Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4004 per Corollarium $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4005 cundum Lemmatis $uperioris, e$t <I>ME</I> ad <I>EI</I> ut (<I>AM</I> $eu) <I>BK</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4006 <I>BQ,</I> & componendo <I>ME</I> ad <I>MI</I> ut <I>BK</I> ad <I>KQ. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4007 Item <I>KH</I> ad <I>HL</I> ut (<I>BK</I> $eu) <I>AM</I> ad <I>AF,</I> & dividendo <I>KH</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4008 <I>KL</I> ut <I>AM</I> ad <I>MF. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4009 <p><I>Corol.</I> 1. Hinc $i datur parallelogramum <I>IKLM,</I> circa datam Sec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4010 tionem Conicam de$eriptum, dabitur rectangulum <I>KQXME,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4011 & huic æquale rectangulum <I>KHXMF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4012 <p><I>Corol.</I> 2. Et $i $exta ducatur tangens <I>eq</I> tangentibus <I>KI, MI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4013 occurrens in <I>q</I> & <I>e</I>; rectangulum <I>KQXME</I> æquabitur rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4014 gulo <I>KqXMe</I>; eritque <I>KQ</I> ad <I>Me</I> ut <I>Kq</I> ad <I>ME,</I> & divi$im ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4015 <I>Qq</I> ad <I>Ee.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4016 <p><I>Corol.</I> 3. Unde etiam $i <I>Eq, eQ</I> jungantur & bi$ecentur, & recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4017 per puncta bi$ectionum agatur, tran$ibit hæc per centrum Sectio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4018 nis Conicæ. Nam cum $it <I>Qq</I> ad <I>Ee</I> ut <I>KQ</I> ad <I>Me,</I> tran$ibit ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4019 <pb n=86>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4020 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4021 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4022 dem recta per medium omnium <I>Eq, eQ, MK</I>; (per Lem. XXIII)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4023 & medium rectæ <I>MK</I> e$t centrum Sectionis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4024 <C>PROPOSITIO XXVII. PROBLEMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4025 <C><I>Trajectoriam de$cribere quæ rectas quinque po$itione datas continget.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4026 <p>Dentur pofitione tangentes <I>ABG, BCF, GCD, FDE, EA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4027 Figuræ quadrilateræ $ub quatuor quibu$vis contentæ <I>ABFE</I> dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4028 gonales <I>AF, BE</I> bi$eca, & (per Corol. 3. Lem. XXV) recta <I>MN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4029 per puncta bi$ectionum acta tran$ibit per centrum Trajectoriæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4030 Rur$us Figuræ quadrilateræ <I>BGDF,</I> $ub aliis quibu$vis quatuor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4031 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4032 tangentibus contentæ, diagonales (ut ita dicam) <I>BD, GF</I> bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4033 $eca in <I>P</I> & <I>Q:</I> & recta <I>PQ</I> per puncta bi$ectionum acta tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4034 ibit per centrum Trajectoriæ. Dabitur ergo centrum in concur$u bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4035 $ecantium. Sit illud <I>O.</I> Tangenti cuivis <I>BC</I> parallelam age <I>KL,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4036 ad eam di$tantiam ut centrum <I>O</I> in medio inter parallelas locetur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4037 & acta <I>KL</I> tanget Trajectoriam de$cribendam. Secet hæc tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4038 <pb n=87>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4039 gentes alias qua$vis duas <I>GCD, FDE</I> in <I>L</I> & <I>K.</I> Per harum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4040 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4041 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4042 tangentium non parallelarum <I>CL, FK</I> cum parallelis <I>CF, KL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4043 concur$us <I>C</I> & <I>K, F</I> & <I>L</I> age <I>CK, FL</I> concurrentes in <I>R,</I> & rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4044 ta <I>OR</I> ducta & producta $ecabit tangentes parallelas <I>CF, KL</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4045 punctis contactuum. Patet hoc per Corol. 2. Lem. XXIV. Ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4046 dem methodo invenire licet alia contactuum puncta, & tum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4047 mum per Probl. XIV. &c. Trajectoriam de$cribere. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4048 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4049 <p>Problemata, ubi dantur Trajectoriarum vel centra vel A$ymp-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4050 toti, includuntnr in præcedentibus. Nam datis punctis & tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4051 tibus una cum centro, dantur alia totidem puncta aliæque tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4052 tes a centro ex altera ejus parte æqualiter di$tantes. A$ymptotos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4053 autem pro tangente habenda e$t, & ejus terminus infinite di$tans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4054 ($i ita loqui fas $it) pro puncto contactus. Concipe tangentis cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4055 ju$vis punctum contactus abire in infinitum, & tangens vertetur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4056 A$ymptoton, atque con$tructiones Problematis XIV & Ca$us pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4057 mi Problematis XV vertentur in con$tructiones Problematum ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4058 A$ymptoti dantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4059 <p>Po$tquam Trajectoria de$cripta e$t, invenire licet axes & umbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4060 licos ejus hac methodo. In con$tructione & figura Lemmatis XXI,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4061 fac ut angulorum mobi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4062 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4063 lium <I>PBN, PCN</I> cru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4064 ra <I>BP, CP,</I> quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4065 concur$u Trajectoria de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4066 $cribebatur, $int $ibi invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4067 cem parallela, eumque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4068 $ervantia $itum revolvan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4069 tur circa polos $uos <I>B, C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4070 in figura illa. Interea ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4071 ro de$cribant altera an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4072 gulorum illorum crura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4073 <I>CN, BN,</I> concur$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4074 $uo <I>K</I> vel <I>k,</I> Circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4075 <I>IBKGC.</I> Sit Circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4076 hujus centrum <I>O.</I> Ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4077 hoc centro ad Regulam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4078 <I>MN,</I> ad quam altera illa crura <I>CN, BN</I> interea concurrebant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4079 <pb n=88>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4080 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4081 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4082 dum Trajectoria de$cribebatur, demitte normalem <I>OH</I> Circulo oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4083 currentem in <I>K</I> & <I>L.</I> Et ubi crura illa altera <I>CK, BK</I> concur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4084 runt ad punctum illud <I>K</I> quod Regulæ propius e$t, crura prima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4085 <I>CP, BP</I> parallela erunt axi majori, & perpendicularia minori;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4086 & contrarium eveniet $i crura eadem concurrunt ad punctum remo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4087 tius <I>L.</I> Unde $i detur Trajectoriæ centrum, dabuntur axes. Hi$ce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4088 autem datis, umbilici $unt in promptu.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4089 <p>Axium vero quadrata $unt ad invicem ut <I>KH</I> ad <I>LH,</I> & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4090 facile e$t Trajectoriam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4091 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4092 $pecie datam per data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4093 quatuor puncta de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4094 bere. Nam $i duo ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4095 punctis datis con$titu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4096 antur poli <I>C, B,</I> tertium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4097 dabit angulos mobiles
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4098 <I>PCK, PBK</I>; his au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4099 tem datis de$cribi pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4100 Circulus <I>IBKGC.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4101 Tum ob datam $pecie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4102 Trajectoriam, dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4103 ratio <I>OH</I> ad <I>OK,</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4104 eoque ip$a <I>OH.</I> Cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4105 tro <I>O</I> & intervallo <I>OH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4106 de$cribe alium circulum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4107 & recta quæ tangit hunc circulum, & tran$it per concur$um crurum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4108 <I>CK, BK,</I> ubi crura prima <I>CP, BP</I> concurrunt ad quartum da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4109 tum punctum erit Regula illa <I>MN</I> cujus ope Trajectoria de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4110 betur. Unde etiam vici$$im Trapezium $pecie datum ($i ca$us qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4111 dam impo$$ibiles excipiantur) in data quavis Sectione Conica in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4112 $cribi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4113 <p>Sunt & alia Le<*>mata quorum ope Trajectoriæ $pecie datæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4114 datis punctis & tangentibus, de$cribi po$$unt. Ejus generis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4115 e$t quod, $i recta linea per punctum quodvis po$itione datum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4116 ducatur, quæ datam Coni$ectionem in punctis duobus inter$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4117 cet, & inter$ectionum intervallum bi$ecetur, punctum bi$ectionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4118 tanget aliam Coni$ectionem eju$dem $peciei cum priore, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4119 axes habentem prioris axibus parallelos. Sed propero ad magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4120 utilia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4121 <pb n=89>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4122 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4123 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4124 <C>LEMMA XXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4125 <p><I>Trianguli $pecie & magnitudine dati tres angulos ad rectas tot-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4126 idem po$itione datas, quæ non $unt omnes parallelæ, $ingulos ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4127 $ingulas ponere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4128 <p>Dantur po$itione tres rectæ infinitæ <I>AB, AC, BC,</I> & opor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4129 tet triangulum <I>DEF</I> ita locare, ut angulus ejus <I>D</I> lineam <I>AB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4130 angulus <I>E</I> lineam <I>AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4131 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4132 & angulus <I>F</I> lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4133 <I>BC</I> tangat. Super <I>DE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4134 DF</I> & <I>EF</I> de$cribe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4135 tria circulorum $eg-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4136 menta <I>DRE, DGF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4137 EMF,</I> quæ capiant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4138 angulos angulis <I>BAC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4139 ABC, ACB</I> æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4140 re$pective. De$criban-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4141 tur autem hæc $egmen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4142 ta ad eas partes linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4143 rum <I>DE, DF, EF</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4144 literæ <I>DRED</I> eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4145 ordine cum literis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4146 <I>BACB,</I> literæ <I>DGFD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4147 eodem cum literis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4148 <I>ABCA,</I> & literæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4149 <I>EMFE</I> eodem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4150 literis <I>ACBA</I> in orbem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4151 redeant; deinde com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4152 pleantur hæc $egmenta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4153 in circulos integros. Se-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4154 cent circuli duo prio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4155 res $e mutuo in <I>G,</I> $int-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4156 que centra eorum <I>P</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4157 <I>Q.</I> Junctis <I>GP, PQ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4158 cape <I>Ga</I> ad <I>AB</I> ut e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4159 <I>GP</I> ad <I>PQ,</I> & cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4160 tro <I>G,</I> intervallo <I>Ga</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4161 de$cribe circulum, qui $ecet circulum primum <I>DGE</I> in <I>a.</I> Jungatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4162 tum <I>aD</I> $ecans circulum $ecundum <I>DFG</I> in <I>b,</I> tum <I>aE</I> $ecans cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4163 <pb n=90>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4164 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4165 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4166 culum tertium <I>EMF</I> in <I>c.</I> Et compleatur Figura <I>ABC def</I> $imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4167 lis & æqualis Figuræ <I>abcDEF.</I> Dico factum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4168 <p>Agatur enim <I>Fc</I> ip$i <I>aD</I> occurrens in <I>n,</I> & jungantur <I>aG, bG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4169 QG, QD, PD.</I> Ex con$tructione e$t angulus <I>EaD</I> æqualis an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4170 gulo <I>CAB,</I> & angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4171 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4172 <I>acF</I> æqualis angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4173 <I>ACB,</I> adeoque trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4174 gulum <I>anc</I> triangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4175 <I>ABC</I> æquiangulum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4176 Ergo angulus <I>anc</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4177 <I>FnD</I> angulo <I>ABC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4178 adeoque angulo <I>FbD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4179 æqualis e$t; & propter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4180 ea punctum <I>n</I> incidit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4181 punctum <I>b.</I> Porro an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4182 gulus <I>GPQ,</I> qui di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4183 midius e$t anguli ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4184 centrum <I>GPD,</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4185 lis e$t angulo ad cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4186 cumferentiam <I>GaD</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4187 & angulus <I>GQP,</I> qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4188 dimidius e$t anguli ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4189 centrum <I>GQD,</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4190 qualis e$t complemen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4191 to ad duos rectos an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4192 guli ad circumferenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4193 am <I>GbD,</I> adeoque æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4194 qualis angulo <I>Gba</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4195 funtque ideo triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4196 la <I>GPQ, Gab</I> $imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4197 lia; & <I>Ga</I> e$t ad <I>ab</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4198 ut <I>GP</I> ad <I>PQ</I>; id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4199 (ex con$tructione) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4200 <I>Ga</I> ad <I>AB.</I> Æquan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4201 tur itaque <I>ab</I> & <I>AB</I>; & propterea triangula <I>abc, ABC,</I> quæ mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4202 do $imilia e$$e probavimus, $unt etiam æqualia. Unde, cum tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4203 gant in$uper trianguli <I>DEF</I> anguli <I>D, E, F</I> trianguli <I>abc</I> latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4204 <I>ab, ac, bc</I> re$pective, compleri pote$t Figura <I>ABCdef</I> Figuræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4205 <I>abc DEF</I> $imilis & æqualis, atque eam complendo $olvetur Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4206 blema. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4207 <pb n=91>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4208 <p><I>Corol.</I> Hinc recta duci pote$t cujus partes longitudine datæ rectis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4209 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4210 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4211 tribus po$itione datis interjacebunt. Concipe Triangulum <I>DEF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4212 puncto <I>D</I> ad latus <I>EF</I> accedente, & lateribus <I>DE, DF</I> in di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4213 rectum po$itis, mutari in lineam rectam, cujus pars data <I>DE</I> rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4214 tis po$itione datis <I>AB, AC,</I> & pars data <I>DF</I> rectis po$itione da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4215 tis <I>AB, BC</I> interponi debet; & applicando con$tructionem præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4216 cedentem ad hunc ca$um $olvetur Problema.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4217 <C>PROPOSITIO XXVIII. PROBLEMA XX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4218 <C><I>Trajectoriam $pecie & magnitudine datam de$cribere, cujus partes da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4219 tæ rectis tribus po$itione datis interjacebunt.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4220 <p>De$cribenda $it Trajectoria quæ $it $imilis & æqualis Lineæ cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4221 væ <I>DEF,</I> quæque a rectis tribus <I>AB, AC, BC</I> po$itione datis, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4222 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4223 partes datis hujus partibus <I>DE</I> & <I>EF</I> $imiles & æquales $eca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4224 bitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4225 <p>Age rectas <I>DE, EF, DF,</I> & trianguli hujus <I>DEF</I> pone an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4226 los <I>D, E, F</I> ad rectas illas po$itione datas (per Lem. XXVI) Dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4227 circa triangulum de$cribe Trajectoriam Curvæ <I>DEF</I> $imilem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4228 æqualem. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4229 <pb n=92>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4230 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4231 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4232 <C>LEMMA XXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4233 <p><I>Trapezium $pecie datum de$cribere cujus anguli ad rectas quatuor po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4234 $itione datas, quæ neque omnes parallelæ $unt, neque ad commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4235 punctum convergunt, $inguli ad $ingulas con$i$tent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4236 <p>Dentur po$itione rectæ quatuor <I>ABC, AD, BD, CE,</I> qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4237 rum prima $ecet $ecundam in <I>A,</I> tertiam in <I>B,</I> & quartam in <I>C:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4238 & de$cribendum $it Trapezium <I>fghi</I> quod $it Trapezio <I>FGHI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4239 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4240 $imile, & cujus angulus <I>f,</I> angulo dato <I>F</I> æqualis, tangat rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4241 <I>ABC,</I> cæterique anguli <I>g, h, i,</I> cæteris angulis datis <I>G, H, I</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4242 les, tangant cæteras lineas <I>AD, BD, CE</I> re$pective. Jungatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4243 <I>FH</I> & $uper <I>FG, FH, FI</I> de$cribantur totidem circulorum $eg-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4244 menta <I>FSG, FTH, FVI</I>; quorum primum <I>FSG</I> capiat angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4245 <pb n=93>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4246 lum æqualem angulo <I>BAD,</I> $ecundum <I>FTH</I> capiat angulum æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4247 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4248 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4249 qualem angulo <I>CBD,</I> ac tertium <I>FVI</I> capiat angulum æqualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4250 angulo <I>ACE.</I> De$cribi autem debent $egmenta ad eas partes li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4251 nearum <I>FG, FH, FI,</I> ut literarum <I>FSGF</I> idem $it ordo circula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4252 ris qui literarum <I>BADB,</I> utque literæ <I>FTHF</I> eodem ordine cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4253 literis <I>CBDC,</I> & literæ <I>FVIF</I> eodem cum literis <I>ACEA</I> in or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4254 bem redeant. Compleantur $egmenta in circulos integros, $itque <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4255 centrum circuli primi <I>FSG,</I> & <I>Q</I> centrum $ecundi <I>FTH.</I> Jungatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4256 & utrinque producatur <I>PQ,</I> & in ea capiatur <I>QR</I> in ea ratione ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4257 <I>PQ</I> quam habet <I>BC</I> ad <I>AB.</I> Capiatur autem <I>QR</I> ad eas partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4258 puncti <I>Q</I> ut literarum <I>P, Q, R</I> idem $it ordo atque literarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4259 <I>A, B, C:</I> centroque <I>R</I> & intervallo <I>RF</I> de$cribatur circulus quartus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4260 <I>FNc</I> $ecans circulum tertium <I>FVI</I> in <I>c.</I> Jungatur <I>Fc</I> $ecans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4261 circulum primum in <I>a</I> & $ecundum in <I>b.</I> Agantur <I>a G, b H, c I,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4262 Figuræ <I>abc FGHI</I> $imilis con$tituatur Figura <I>ABCfghi:</I> Eritque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4263 Trapezium <I>fghi</I> illud ip$um quod con$tituere oportebat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4264 <p>Secent enim circuli duo primi <I>FSG, FTH</I> $e mutuo in <I>K.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4265 Jungantur <I>PK, QK, RK, a K, b K, c K,</I> & producatur <I>QP</I> ad <I>L.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4266 Anguli ad circumferentias <I>FaK, FbK, FcK</I> $unt $emi$$es an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4267 gulorum <I>FPK, FQK, FRK</I> ad centra, adeoque angulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4268 illorum dimidiis <I>LPK, LQK, LRK</I> æquales. E$t ergo Figura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4269 <I>PQRK</I> Figuræ <I>abcK</I> æquiangula & $imilis, & propterea <I>ab</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4270 ad <I>bc</I> ut <I>PQ</I> ad <I>QR,</I> id e$t, ut <I>AB</I> ad <I>BC.</I> Angulis in$uper <I>FaG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4271 FbH, FcI</I> æquantur <I>fAg, fBh, fCi</I> per con$tructionem. Er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4272 go Figuræ <I>abcFGHI</I> Figura $imilis <I>ABCfghi</I> compleri pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4273 Quo facto Trapezium <I>fghi</I> con$tituetur $imile Trapezio <I>FGHI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4274 & angulis $uis <I>f, g, h, i</I> tanget rectas <I>ABC, AD, BD, CE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4275 Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4276 <p><I>Corol.</I> Hinc recta duci pote$t cujus partes, rectis quatuor po$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4277 tione datis dato ordine interjectæ, datam habebunt proportionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4278 ad invicem. Augeantur anguli <I>FGH, GHI</I> u$que eo, ut rectæ <I>FG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4279 GH, HI</I> in directum jaceant, & in hoc ca$u con$truendo Proble-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4280 ma, ducetur recta <I>fghi</I> cujus partes <I>fg, gh, hi,</I> rectis quatuor po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4281 $itione datis <I>AB</I> & <I>AD, AD</I> & <I>BD, BD</I> & <I>CE</I> interjectæ, e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4282 runt ad invicem ut lineæ <I>FG, GH, HI,</I> eundemque $ervabunt or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4283 dinem inter $e. Idem vero $ic fit expeditius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4284 <pb n=94>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4285 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4286 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4287 <p>Producantur <I>AB</I> ad <I>K,</I> & <I>BD</I> ad <I>L,</I> ut $it <I>BK</I> ad <I>AB</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4288 <I>HI</I> ad <I>GH</I>; & <I>DL</I> ad <I>BD</I> ut <I>GI</I> ad <I>FG</I>; & jungatur <I>KL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4289 occurrens rectæ <I>CE</I> in <I>i.</I> Producatur <I>iL</I> ad <I>M,</I> ut $it <I>LM</I> ad <I>iL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4290 ut <I>GH</I> ad <I>HI,</I> & agatur tum <I>MQ</I> ip$i <I>LB</I> parallela rectæque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4291 <I>AD</I> occurrens in <I>g,</I> tum <I>gi</I> $ecans <I>AB, BD</I> in <I>f, h.</I> Dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4292 factum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4293 <p>Secet enim <I>Mg</I> rectam <I>AB</I> in <I>Q,</I> & <I>AD</I> rectam <I>KL</I> in <I>S,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4294 agatur <I>AP</I> quæ $it ip$i <I>BD</I> parallela & occurrat <I>iL</I> in <I>P,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4295 erunt <I>gM</I> ad <I>Lh (gi</I> ad <I>hi, Mi</I> ad <I>Li, GI</I> ad <I>HI, AK</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4296 <I>BK</I>) & <I>AP</I> ad <I>BL</I> in eadem ratione. Secetur <I>DL</I> in <I>R</I> ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4297 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4298 <I>DL</I> ad <I>RL</I> in eadem illa ratione, & ob proportionales <I>gS</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4299 <I>gM, AS</I> ad <I>AP,</I> & <I>DS</I> ad <I>DL</I>; erit, ex æquo, ut <I>gS</I> ad <I>Lh</I> ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4300 <I>AS</I> ad <I>BL</I> & <I>DS</I> ad <I>RL</I>; & mixtim, <I>BL-RL</I> ad <I>Lh-BL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4301 ut <I>AS-DS</I> ad <I>gS-AS.</I> Id e$t <I>BR</I> ad <I>Bh</I> ut <I>AD</I> ad <I>Ag</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4302 eoque ut <I>BD</I> ad <I>gQ.</I> Et vici$$im <I>BR</I> ad <I>BD</I> ut <I>Bh</I> ad <I>gQ,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4303 <I>fh</I> ad <I>fg.</I> Sed ex con$tructione linea <I>RL</I> eadem ratione $ecta fuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4304 in <I>D</I> & <I>R</I> atque linea <I>FI</I> in <I>G</I> & <I>H:</I> ideoque e$t <I>BR</I> ad <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4305 ut <I>FH</I> ad <I>FG.</I> Ergo <I>fh</I> e$t ad <I>fg</I> ut <I>FH</I> ad <I>FG.</I> Cum igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4306 $it etiam <I>gi</I> ad <I>hi</I> ut <I>Mi</I> ad <I>Li,</I> id e$t, ut <I>GI</I> ad <I>HI,</I> patet li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4307 neas <I>FI, fi</I> in <I>g</I> & <I>h, G</I> & <I>H</I> $imiliter $ectas e$$e. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4308 <pb n=95>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4309 <p>In con$tructione Corollarii hujus po$tquam ducitur <I>LK</I> $ecans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4310 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4311 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4312 <I>CE</I> in <I>i,</I> producere licet <I>iE</I> ad <I>V,</I> ut $it <I>EV</I> ad <I>Ei</I> ut <I>FH</I> ad <I>HI,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4313 & agere <I>Vf</I> parallelam ip$i <I>BD.</I> Eodem recidit $i centro <I>i,</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4314 tervallo <I>IH,</I> de$cribatur circulus $ecans <I>BD</I> in <I>X,</I> & producatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4315 <I>iX</I> ad <I>Y,</I> ut $it <I>iY</I> æqualis <I>IF,</I> & agatur <I>Yf</I> ip$i <I>BD</I> parallela.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4316 <p>Problematis hujus $olutiones alias <I>Wrennus</I> & <I>Walli$ius</I> olim ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4317 cogitarunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4318 <C>PROPOSITIO XXIX. PROBLEMA XXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4319 <C><I>Trajectoriam $pecie datam de$cribere, quæ a rectis quatuor po$itione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4320 datis in partes $ecabitur, ordine, $pecie & proportione datas.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4321 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4322 <p>De$cribenda $it Trajectoria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4323 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4324 <I>fghi,</I> quæ $imilis $it Lincæ curvæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4325 <I>FGHI,</I> & cujus partes <I>fg, gh, hi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4326 illius partibus <I>FG, GH, HI</I> $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4327 miles & proportionales, rectis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4328 <I>AB</I> & <I>AD, AD</I> & <I>BD, BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4329 & <I>CE</I> po$itione datis, prima pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4330 mis, $ecunda $ecundis, tertia ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4331 tiis interjaceant. Actis rectis <I>FG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4332 GH, HI, FI,</I> de$cribatur (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4333 Lem. XXVII.) Trapezium <I>fghi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4334 quod $it Trapezio <I>FGHI</I> $imile & cujus anguli <I>f, g, h, i</I> tangant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4335 rectas illas po$itione datas <I>AB, AD, BD, CE,</I> $inguli $ingulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4336 dicto ordine. Dein circa hoc Trapezium de$cribatur Trajectoria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4337 curvæ Lineæ <I>FGHI</I> con$imilis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4338 <pb n=96>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4339 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4340 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4341 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4342 <p>Con$trui etiam pote$t hoc Problema ut $equitur. Junctis <I>FG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4343 GH, HI, FI</I> produc <I>GF</I> ad <I>V,</I> jungeque <I>FH, IG,</I> & angulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4344 <I>FGH, VFH</I> fac angulos <I>CAK, DAL</I> æquales. Concurrant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4345 <I>AK, AL</I> cum recta <I>BD</I> in <I>K</I> & <I>L,</I> & inde agantur <I>KM, LN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4346 quarum <I>KM</I> con$tituat angulum <I>AKM</I> æqualem angulo <I>GHI,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4347 $itque ad <I>AK</I> ut e$t <I>HI</I> ad <I>GH</I>; & <I>LN</I> con$tituat angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4348 <I>ALN</I> æqualem angulo <I>FHI,</I> $itque ad <I>AL</I> ut <I>HI</I> ad <I>FH.</I> Du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4349 cantur autem <I>AK, KM, AL, LN</I> ad eas partes linearum <I>AD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4350 AK, AL,</I> ut literæ <I>CAKMC, ALKA, DALND</I> eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4351 ordine cum literis <I>FGHIF</I> in orbem redeant; & act <I>MN</I> oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4352 currat rectæ <I>CE</I> in <I>i.</I> Fac angulum <I>iEP</I> æqualem angulo <I>IGF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4353 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4354 $itque <I>PE</I> ad <I>Ei</I> ut <I>FG</I> ad <I>GI;</I> & per <I>P</I> agatur <I>PQf,</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4355 cum recta <I>ADE</I> contineat angulum <I>PQE</I> æqualem angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4356 <I>FIG,</I> rectæque <I>AB</I> occurrat in <I>f,</I> & jungatur <I>fi.</I> Agantur au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4357 rem <I>PE</I> & <I>PQ</I> ad eas partes linearum <I>CE, PE,</I> ut literarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4358 <I>PEiP</I> & <I>PEQP</I> idem $it ordo circularis qui literarum <I>FGHIF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4359 & $i $uper linea <I>fi</I> eodem quoque literarum ordine con$tituatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4360 Trapezium <I>fghi</I> Trapezio <I>FGHI</I> $imile, & circum$cribatur Tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4361 jectoria $pecie data, $olvetur Problema.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4362 <p>Hactenus de Orbibus inveniendis. Supere$t ut Motus corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4363 rum in Orbibus inventis determinemus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4364 <pb n=97>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4365 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4366 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4367 <C>SECTIO VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4368 <C><I>De Inventione Motuum in Orbibus datis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4369 <C>PROPOSITIO XXX. PROBLEMA XXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4370 <C><I>Corporis in data Trajectoria Parabolica moti invenire locum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4371 tempus a$$ignatum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4372 <p>Sit <I>S</I> umbilicus & <I>A</I> vertex principa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4373 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4374 lis Parabolæ, $itque 4 <I>ASXM</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4375 areæ Parabolicæ ab$cindendæ <I>APS,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4376 quæ radio <I>SP,</I> vel po$t exce$$um cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4377 poris de vertice de$cripta fuit, vel an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4378 te appul$um ejus ad verticem de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4379 benda e$t. Innote$cit quantitas areæ il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4380 lius ab$cindendæ ex tempore ip$i pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4381 portionali. Bi$eca <I>AS</I> in <I>G,</I> erigeque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4382 perpendiculum <I>GH</I> æquale 3 M, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4383 Circulus centro <I>H,</I> intervallo <I>HS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4384 de$criptus $ecabit Parabolam in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4385 quæ$ito <I>P.</I> Nam, demi$$a ad axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4386 perpendiculari <I>PO</I> & ducta <I>PH,</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4387 <I>AGq+GHq (=HP q=&horbar;AO-AG: quad.+&horbar;PO-GH: quad.)=
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4388 AOq+POq-2 GAO-2GHXPO+AGq+GHq.</I> Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4389 2 <I>GHXPO (=AOq+POq-2GAO)=AOq+1/4 POq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4390 Pro <I>AOq</I> $cribe (<I>AOXPOq/4AS</I>); &, applicatis terminis omnibus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4391 3<I>PO</I> ducti$que in 2<I>AS,</I> fiet 4/3 <I>GHXAS(=1/6AOXPO+1/2 ASXPO
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4392 =(AO+3AS/6)XPO=(4AO-3SO/6)XPO</I>=areæ &horbar;<I>APO-SPO)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4393 =areæ <I>APS.</I> Sed <I>GH</I> erat 3 M, & inde 4/3 <I>GHXAS</I> e$t 4 <I>AS</I>XM.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4394 Ergo area ab$ci$$a <I>APS</I> æqualis e$t ab$cindendæ 4<I>ASXM. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4395 <p><I>Corol.</I> 1. Hinc <I>GH</I> e$t ad <I>AS,</I> ut tempus quo corpùs de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4396 $it arcum <I>AP</I> ad tempus quo corpus de$crip$it arcum inter verti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4397 cem <I>A</I> & perpendiculum ad axem ab umbilico <I>S</I> erectum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4398 <p><I>Corol.</I> 2. Et Circulo <I>ASP</I> per corpus motum <I>P</I> perpetuo tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4399 eunte, velocitas puncti <I>H</I> e$t ad velocitatem quam corpus habuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4400 <pb n=98>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4401 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4402 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4403 in vertice <I>A,</I> ut 3 ad 8; adeoque in ea etiam ratione e$t linea <I>GH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4404 ad lineam rectam quam corpus tempore motus $ui ab <I>A</I> ad <I>P,</I> ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4405 cum velocitate quam habuit in vertice <I>A,</I> de$cribere po$$et.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4406 <p><I>Corol.</I> 3. Hinc etiam vice ver$a inveniri pote$t tempus quo cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4407 pus de$crip$it arcum quemvis a$$ignatum <I>AP.</I> Junge <I>AP</I> & ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4408 medium ejus punctum erige perpendiculum rectæ <I>GH</I> occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4409 rens in <I>H.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4410 <C>LEMMA XXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4411 <p><I>Nulla extat Figura Ovalis cujus area, rectis pro lubitu ab$ci$$a, po$$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4412 per æquationes numero terminorum ac dimen$ionum finitas genera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4413 liter inveniri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4414 <p>Intra Ovalem detur punctum quodvis, circa quod ceu polum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4415 volvatur perpetuo linea recta, uniformi cum motu, & interea in rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4416 ta illa exeat punctum mobile de polo, pergatque $emper ea cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4417 velocitate, quæ $it ut rectæ illius intra Ovalem quadratum. Hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4418 motu punctum illud de$cribet Spiralem gyris infinitis. Jam $i areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4419 Ovalis a recta illa ab$ci$$æ incrementum per finitam æquationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4420 inveniri pote$t, invenietur etiam per eandem æquationem di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4421 puncti a polo, quæ huic areæ proportionalis e$t, adeoque om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4422 nia Spiralis puncta per æquationem finitam inveniri po$$unt: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4423 propterea rectæ cuju$vis po$itione datæ inter$ectio cum Spirali in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4424 veniri etiam pote$t per æquationem finitam. Atqui recta omnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4425 infinite producta Spiralem $ecat in punctis numero infinitis, & æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4426 tio, qua inter$ectio aliqua duarum linearum invenitur, exhibet ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4427 rum inter$ectiones omnes radicibus totidem, adeoque a$cendit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4428 rot dimen$iones quot $unt inter$ectiones. Quoniam Circuli duo $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4429 mutuo $ecant in punctis duobus, inter$ectio una non invenietur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4430 ni$i per æquationem duarum dimen$ionum, qua inter$ectio altera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4431 etiam inveniatur. Quoniam duarum $ectionum Conicarum quatuor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4432 e$$e po$$unt inter$ectiones, non pote$t aliqua earum generaliter in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4433 veniri ni$i per æquationem quatuor dimen$ionum, qua omnes $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4434 mul inveniantur. Nam $i inter$ectiones illæ $eor$im quærantur, quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4435 niam eadem e$t omnium lex & conditio, idem erit calculus in ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4436 unoquoque & propterea eadem $emper conclu$io, quæ igitur de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4437 bet omnes inter$ectiones $imul complecti & indifferenter exhibere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4438 <pb n=99>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4439 Unde etiam inter$ectiones Sectionum Conicarum & Curvarum ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4440 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4441 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4442 tiæ pote$tatis, eo quod $ex e$$e po$$unt, $imul prodeunt per æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4443 tiones $ex dimen$ionum, & inter$ectiones duarum Curvarum tertiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4444 pote$tatis, quia novem e$$e po$$unt, $imul prodeunt per æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4445 tiones dimen$ionum novem. Id ni$i nece$$ario fieret, reducere licc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4446 ret Problemata omnia Solida ad Plana, & plu$quam Solida ad Soli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4447 da. Loquor hic de Curvis pote$tate irreducibilibus. Nam $i æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4448 tio per quam Curva definitur, ad inferiorem pote$tatem reduci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4449 po$$it: Curva non erit unica, $ed ex duabus vel pluribus compo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4450 ta, quarum inter$ectiones per calculos diver$os $eor$im inveniri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4451 po$$unt. Ad eundem modum inter$ectiones binæ rectarum & $ecti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4452 onum Conicarum prodeunt $emper per æquationes duarum dimen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4453 $ionum; ternæ rectarum & Curvarum irreducibilium tertiæ pote$tatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4454 per æquationes trium, quaternæ rectarum & Curvarvm irreducibi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4455 lium quartæ pote$tatis per æquationes dimen$ionum quatuor, & $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4456 in infinitum. Ergo rectæ & Spiralis inter$ectiones numero infinitæ, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4457 Curva hæc $it $implex & in Curvas plures irreducibilis, requirunt æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4458 quationes numero dimen$ionum & radicum infinitas, quibus omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4459 po$$unt $imul exhiberi. E$t enim eadem omnium lex & idem calculus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4460 Nam $i a polo in rectam illam $ecantem demittatur perpendiculum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4461 & perpendiculum illud una cum $ecante revolvatur circa polum, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4462 ter$ectiones Spiralis tran$ibunt in $e mutuo, quæque prima erat $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4463 proxima, po$t unam revolutionem $ecunda erit, po$t duas tertia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4464 & $ic deinceps: nec interea mutabitur æquatio ni$i pro mutata mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4465 nitudine quantitatum per quas po$itio $ecantis determinatur. Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4466 cum quantitates illæ po$t $ingulas revolutiones redeunt ad magni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4467 tudines primas, æquatio redibit ad formam primam, adeoque una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4468 eademque exhibebit inter$ectiones omnes, & propterea radices ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4469 bebit numero infinitas, quibus omnes exhiberi po$$unt. Nequit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4470 ergo inter$ectio rectæ & Spiralis per æquationem finitam generali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4471 ter inveniri, & idcirco nulla extat Ovalis cujus area, rectis impe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4472 ratis ab$ci$$a, po$$it per talem æquationem generaliter exhiberi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4473 <p>Eodem argumento, $i intervallum poli & puncti, quo Spiralis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4474 $cribitur, capiatur Ovalis perimetro ab$ci$$æ proportionale, pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4475 bari pote$t quod longitudo perimetri nequit per finitam æquatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4476 nem generaliter exhiberi. De Ovalibus autem hic loquor quæ non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4477 tanguntur a figuris conjugatis in infinitum pergentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4478 <pb n=100>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4479 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4480 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4481 <C><I>Corollarium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4482 <p>Hinc area Ellip$eos, quæ radio ab umbilico ad corpus mobile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4483 ducto de$cribitur, non prodit ex dato tempore, per æquationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4484 finitam; & propterea per de$criptionem Curvarum Geometrice ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4485 tionalium determinari nequit. Curvas Geometrice rationales ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4486 pello quarum puncta omnia per longitudines æquationibus defini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4487 tas, id e$t, per longitudinum rationes complicatas, determinari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4488 po$$unt; cætera$que (ut Spirales, Quadratrices, Trochoides) Geo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4489 metrice irrationales. Nam longitudines quæ $unt vel non $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4490 numerus ad numerum (quemadmodum in decimo Elementorum)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4491 $unt Arithmetice rationales vel irrationales. Aream igitur Ellip$eos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4492 tempori proportionalem ab$cindo per Curvam Geometrice irratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4493 nalem ut $equitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4494 <C>PROPOSITIO XXXI. PROBLEMA XXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4495 <C><I>Corporis in data Trajectoria Elliptica moti invenire locum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4496 tempus a$$ignatum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4497 <p>Ellip$eos <I>APB</I> $it <I>A</I> vertex principalis, <I>S</I> umbilicus, & <I>O</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4498 centrum, $itque <I>P</I> corporis locus inveniendus. Produc <I>OA</I> ad <I>G,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4499 ut $it <I>OG</I> ad <I>OA</I> ut <I>OA</I> ad <I>OS.</I> Erige perpendiculum <I>GH,</I> centroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4500 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4501 <I>O</I> & intervallo <I>OG</I> de$cribe circulum <I>EFG,</I> & $uper regula <I>GH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4502 ceu fundo, progrediatur Rota <I>GEF</I> revolvendo circa axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4503 $uum, & interea puncto $uo <I>A</I> de$cribendo Trochoidem <I>ALI.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4504 <pb n=101>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4505 Quo facto, cape <I>GK</I> in ratione ad Rotæ perimetrum <I>GEFG,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4506 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4507 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4508 e$t tempus quo corpus progrediendo ab <I>A</I> de$crip$it arcum <I>AP,</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4509 tempus revolutionis unius in Ellip$i. Erigatur perpendiculum <I>KL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4510 occurrens Trochoidi in <I>L,</I> & acta <I>LP</I> ip$i <I>KG</I> parallela occurret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4511 Ellip$i in corporis loco quæ$ito <I>P.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4512 <p>Nam centro <I>O,</I> intervallo <I>OA</I> de$cribatur $emicirculus <I>AQB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4513 & arcui <I>AQ</I> occurrat <I>LP</I> producta in <I>Q,</I> junganturque <I>SQ, OQ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4514 Arcui <I>EFG</I> occurrat <I>OQ</I> in <I>F,</I> & in eandem <I>OQ</I> demittatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4515 pendiculum <I>SR.</I> Area <I>APS</I> e$t ut area <I>AQS,</I> id e$t, ut diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4516 rentia inter $ectorem <I>OQA</I> & triangulum <I>OQS,</I> $ive ut differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4517 tia rectangulorum 1/2 <I>OQXAQ</I> & 1/2 <I>OQXSR,</I> hoc e$t, ob datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4518 1/2 <I>OQ,</I> ut differentia inter arcum <I>AQ</I> & rectam <I>SR,</I> adeoque (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4519 æqualitatem datarum rationum <I>SR</I> ad $inum arcus <I>AQ, OS</I> ad <I>OA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4520 OA</I> ad <I>OG, AQ</I> ad <I>GF,</I> & divi$im <I>AQ-SR</I> ad <I>GF</I>-$in. arc. <I>AQ</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4521 ut <I>GK</I> differentia inter arcum <I>GF</I> & $inum arcus <I>AQ. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4522 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4523 <p>Cæterum, cum difficilis $it hujus Curvæ de$criptio, præ$tat $olu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4524 tionem vero proximam adhibere. Inveniatur tum angulus quidam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4525 B, qui $it ad angulum graduum 57,29578, quem arcus radio æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4526 $ubtendit, ut e$t umbilicorum di$tantia <I>SH</I> ad Ellip$eos diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4527 trum <I>AB</I>; tum etiam longitudo quædam L, quæ $it ad radium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4528 eadem ratione inver$e. Quibus $emel inventis, Problema deinceps
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4529 confit per $equentem Analy$in. Per con$tructionem quamvis (vel.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4530 utcunque conjec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4531 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4532 turam faciendo)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4533 cogno$catur cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4534 poris locus <I>P</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4535 ximus vero ejus lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4536 co <I>p.</I> Demi$$aque ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4537 axem Ellip$eos or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4538 dinatim applicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4539 <I>PR,</I> ex propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4540 tione diametrorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4541 Ellip$eos, dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4542 Circuli circum$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4543 pti <I>AQB</I> ordinatim applicata <I>RQ,</I> quæ $inus e$t anguli <I>AOQ</I> exi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4544 $tente <I>AO</I> radio. Sufficit angulum illum rudi calculo in numeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4545 proximis invenire. Cogno$catur etiam angulus tempori propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4546 <pb n=102>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4547 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4548 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4549 tionalis, id e$t, qui $it ad quatuor rectos, ut e$t tempus quo corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4550 de$crip$it arcum <I>Ap,</I> ad tempus revolutionis unius in Ellip$i. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4551 angulus i$te N. Tum capiatur & angulus D ad angulum B, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4552 e$t $inus i$te anguli <I>AOQ</I> ad radium, & angulus E ad angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4553 N-<I>AOQ</I>+D, ut e$t longitudo L ad longitudinem eandem L
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4554 co$inu anguli <I>AOQ</I> diminutam, ubi angulus i$te recto minor e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4555 auctam ubi major. Po$tea capiatur tum angulus F ad angulum B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4556 ut e$t $inus anguli <I>AOQ</I>+E ad radium, tum angulus G ad angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4557 lum N-<I>AOQ</I>-E+F ut e$t longitudo L ad longitudinem ean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4558 dem co$inu anguli <I>AOQ</I>+E diminutam ubi angulus i$te recto mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4559 nor e$t, auctam ubi major. Tertia vice capiatur angulus H ad an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4560 gulum B, ut e$t $inus anguli <I>AOQ</I>+E+G ad radium; & angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4561 lus I ad angulum N-<I>AOQ</I>-E-G+H, ut e$t longitudo L ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4562 eandem longitudinem co$inu anguli <I>AOQ</I>+E+G diminutam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4563 ubi angulus i$te re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4564 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4565 cto minor e$t, auc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4566 tam ubi major. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4567 $ic pergere licet in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4568 infinitum. Deni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4569 que capiatur angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4570 lus <I>AOq</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4571 angulo <I>AOQ</I>+E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4572 +G+I+&c. e t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4573 ex co$inu ejus <I>Or</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4574 & ordinata <I>pr,</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4575 e$t ad $inum ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4576 <I>qr</I> ut Ellip$eos axis minor ad axem majorem, habebitur corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4577 locus correctus <I>p.</I> Si quando angulus N-<I>AOQ</I>+D negativus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4578 e$t, debet $ignum+ip$ius E ubique mutari in-, & $ignum-in+.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4579 Idem intelligendum e$t de $ignis ip$orum G & I, ubi anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4580 N-<I>AOQ</I>-E+F, & N-<I>AOQ</I>-E-G+H negativi prodeunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4581 Convergit autem $eries infinita <I>AOQ</I>+E+G+I+&c. quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4582 celerrime, adeo ut vix unquam opus fuerit ultra progredi quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4583 ad terminum $ecundum E. Et fundatur calculus in hoc Theore-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4584 mate, quod area <I>APS</I> $it ut differentia inter arcum <I>AQ</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4585 rectam ab umbilico <I>S</I> in Radium <I>OQ</I> perpendiculariter de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4586 mi$$am.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4587 <p>Non di$$imili calculo conficitur Problema in Hyperbola. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4588 ejus Centrum <I>O,</I> Vertex <I>A,</I> Umbilicus <I>S</I> & A$ymptotos <I>OK.</I> Cog-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4589 <pb n=103>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4590 no$catur quantitas areæ ab$cindendæ tempori proportionalis. Sit ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4591 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4592 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4593 A, & fiat conjectura de po$itione rectæ <I>SP,</I> quæ aream <I>APS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4594 ab$cindat veræ proximam. Jun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4595 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4596 gatur <I>OP,</I> & ab <I>A</I> & <I>P</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4597 A$ymptoton agantur <I>AI, PK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4598 A$ymptoto alteri parallelæ, & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4599 Tabulam Logarithmorum dabi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4600 tur Area <I>AIKP,</I> eique æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4601 area <I>OPA,</I> quæ $ubducta de tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4602 angulo <I>OPS</I> relinquet aream ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4603 $ci$$am <I>APS.</I> Applicando areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4604 ab$cindendæ A & ab$ci$$æ <I>APS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4605 differentiam duplam 2 <I>APS</I>-2 A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4606 vel 2 A-2 <I>APS</I> ad lineam <I>SN,</I> quæ ab umbilico <I>S</I> in tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4607 <I>PT</I> perpendicularis e$t, orietur longitudo chordæ <I>PQ.</I> In$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4608 batur autem chorda illa <I>PQ</I> inter <I>A</I> & <I>P,</I> $i area ab$ci$$a <I>APS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4609 major $it area ab$cindenda A, $ecus ad puncti <I>P</I> contrarias partes:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4610 & punctum <I>Q</I> erit locus corporis accuratior. Et computatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4611 repetita invenietur idem accuratior in perpetuum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4612 <p>Atque his calculis Problema generaliter confit Analytice. Ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4613 rum u$ibus A$tronomicis accommodatior e$t calculus particularis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4614 qui $equitur. Exi$tentibus <I>AO, OB, OD</I> $emiaxibus Ellip$eos, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4615 L ip$ius latere recto, ac D differentia inter $emiaxem minorem <I>OD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4616 & lateris recti $emi$$em 1/2 L; quære tum angulum Y, cujus $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4617 $it ad Radium ut e$t rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4618 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4619 lum $ub differentia illa D, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4620 $emi$umma axium <I>AO+OD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4621 ad quadratum axis majoris <I>AB</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4622 tum angulum Z, cujus $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4623 $it ad Radium ut e$t duplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4624 rectangulum $ub umbilicorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4625 di$tantia <I>SH</I> & differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4626 illa D ad triplum quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4627 $emiaxis majoris <I>AO.</I> His
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4628 angulis $emel inventis; locus corporis $ic deinceps determinabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4629 Sume angulum T proportionalem tempori quo arcus <I>BP</I> de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4630 tus e$t, $cu motui medio (ut loquuntur) æqualem; & angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4631 V (primam medii motus æquationem) ad angulum Y (æquatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4632 nem maximam primam) ut e$t $inus dupli anguli T ad Radium;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4633 <pb n=104>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4634 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4635 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4636 atque angulum X (æquationem $ecundam) ad angulum Z (æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4637 tionem maximam $ecundam) ut e$t cubus $inus anguli T ad cubum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4638 Radii. Angulorum T, V, X vel $ummæ T+X+V, $i angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4639 T recto minor e$t, vel differentiæ T+X-V, $i is recto major e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4640 recti$que duobus minor, æqualem cape angulum <I>BHP</I> (motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4641 medium æquatum;) &, $i <I>HP</I> occurrat Ellip$i in <I>P,</I> acta <I>SP</I> ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4642 $cindet aream <I>BSP</I> tempori proportionalem quamproxime. Hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4643 Praxis $atis expedita videtur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4644 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4645 propterea quod angulorum per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4646 exiguorum V & X (in minutis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4647 $ecundis, $i placet, po$itorum)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4648 figuras duas ter$ve primas in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4649 venire $ufficit. Sed & $atis ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4650 curata e$t ad Theoriam Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4651 rum. Nam in Orbe vel Martis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4652 ip$ius, cujus Æquatio centri ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4653 xima e$t graduum decem, error
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4654 vix $uperabit minutum unum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4655 $ecundum. Invento autem angulo motus medii æquati <I>BHP,</I> an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4656 gulus veri motus <I>BSP</I> & di$tantia <I>SP</I> in promptu $unt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4657 <I>Wardi</I> methodum noti$$imam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4658 <p>Hactenus de Motu corporum in lineis Curvis. Fieri autem po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4659 te$t ut mobile recta de$cendat vel recta a$cendat, & quæ ad i$tiu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4660 modi Motus $pectant, pergo jam exponere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4661 <pb n=105>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4662 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4663 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4664 <C>SECTIO VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4665 <C><I>De Corporum A$cen$u & De$cen$u Rectilineo.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4666 <C>PROPOSITIO XXXII. PROBLEMA XXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4667 <p><I>Po$ito quod Vis centripeta $it reciproce proportionalis quadrato di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4668 $tantiæ locorum a centro, Spatia definire quæ corpus recta cadendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4669 datis temporibus de$cribit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4670 <p><I>Cas.</I> 1. Si Corpus non cadit perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4671 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4672 lariter de$cribet id, per Corol. 1. Prop. XIII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4673 Sectionem aliquam Conicam cujus umbili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4674 cus congruit cum centro virium. Sit Sec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4675 tio illa Conica <I>ARPB</I> & umbilicus ejus <I>S.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4676 Et primo $i Figura Ellip$is e$t, $uper hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4677 jus axe majore <I>AB</I> de$cribatur Semicirculus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4678 <I>ADB,</I> & per corpus decidens tran$eat rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4679 ta <I>DPC</I> perpendicularis ad axem; acti$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4680 <I>DS, PS</I> erit area <I>ASD</I> areæ <I>ASP</I> at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4681 que adeo etiam tempori proportionalis. Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4682 nente axe <I>AB</I> minuatur perpetuo latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4683 Ellip$eos, & $emper manebit area <I>ASD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4684 tempori proportionalis. Minuatur latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4685 illa in infinitum: &, Orbe <I>APB</I> jam coin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4686 cidente cum axe <I>AB</I> & umbilico <I>S</I> cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4687 axis termino <I>B,</I> de$cendet corpus in recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4688 <I>AC,</I> & area <I>ABD</I> evadet tempori pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4689 portionalis. Dabitur itaque Spatium <I>AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4690 quod corpus de loco <I>A</I> perpendiculariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4691 cadendo tempore dato de$cribit, $i modo tempori proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4692 lis capiatur area <I>ABD,</I> & a puncto <I>D</I> ad rectam <I>AB</I> demit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4693 tatur perpendicularis <I>DC. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4694 <pb n=106>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4695 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4696 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4697 <p><I>Cas.</I> 2. Si Figura illa <I>RPB</I> Hyperbola e$t, de$cribatur ad ean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4698 dem diametrum principalem <I>AB</I> Hyperbola rectangula <I>BED:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4699 & quoniam areæ <I>CSP, CBfP, SPfB</I> $unt ad areas <I>CSD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4700 CBED, SDEB,</I> $ingulæ ad $ingulas, in data ratione altitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4701 num <I>CP, CD</I>; & area <I>SPfB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4702 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4703 proportionalis e$t tempori quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4704 corpus <I>P</I> movebitur per arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4705 <I>PfB</I>; erit etiam area <I>SDEB</I> ei-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4706 dem tempori proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4707 Minuatur latus rectum Hyper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4708 bolæ <I>RPB</I> in infinitum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4709 nente latere tran$ver$o, & coibit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4710 arcus <I>PB</I> cum recta <I>CB</I> & um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4711 bilicus <I>S</I> cum vertice <I>B</I> & recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4712 <I>SD</I> cum recta <I>BD.</I> Proinde a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4713 rea <I>BDEB</I> proportionalis erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4714 tempori quo corpus <I>C</I> recto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4715 de$cen$u de$cribit lineam <I>CB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4716 Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4717 <p><I>Cas.</I> 3. Et $imili argumento $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4718 Figura <I>RPB</I> Parabola e$t, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4719 eodem vertice principali <I>B</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4720 $cribatur alia Parabola <I>BED,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4721 quæ $emper maneat data interea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4722 dum Parabola prior in cujus perimetro corpus <I>P</I> movetur, dimi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4723 nuto & in nihilum redacto ejus latere recto, conveniat cum linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4724 <I>CB</I>; fiet $egmentum Parabolicum <I>BDEB</I> proportionale tempori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4725 quo corpus illud <I>P</I> vel <I>C</I> de$cendet ad centrum <I>S</I> vel <I>B. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4726 <C>PROPOSITIO XXXIII. THEOREMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4727 <p><I>Po$itis jam inventis, dico quod corporis cadentis Velocitas in loco quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4728 vis</I> C <I>est ad velocitatem corporis centro</I> B <I>intervallo</I> BC <I>Circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4729 lum de$cribentis, in $ubduplicata ratione quam</I> AC, <I>di$tantia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4730 poris a Circuli vel Hyperbolæ rect angulæ vertice ulteriore</I> A, <I>habet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4731 ad Figuræ $emidiametrum principalem</I> 1/2 AB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4732 <p>Bi$ecetur <I>AB,</I> communis utriu$que Figuræ <I>RPB, DEB</I> dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4733 meter, in <I>O</I>; & agatur recta <I>PT</I> quæ tangat Figuram <I>RPB</I> in <I>P,</I> atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4734 <pb n=107>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4735 etiam $ecet communem illam diametrum <I>AB</I> ($i opus e$t productam)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4736 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4737 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4738 in <I>T</I>; $itque <I>SY</I> ad hanc rectam, & <I>BQ</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4739 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4740 hanc diametrum perpendicularis, atque Figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4741 ræ <I>RPB</I> latus rectum ponatur L. Con$tat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4742 per Cor. 9. Prop. XVI, quod corporis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4743 linea <I>RPB</I> circa centrum <I>S</I> moventis velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4744 citas in loco quovis <I>P</I> $it ad velocitatem cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4745 poris intervallo <I>SP</I> circa idem centrum Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4746 culum de$cribentis in $ubduplicata ratione rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4747 tanguli 1/2 LX<I>SP</I> ad <I>SY</I> quadratum. E$t au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4748 tem ex Conicis <I>ACB</I> ad <I>CPq</I> ut 2 <I>AO</I> ad L,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4749 adeoque (2<I>CPqXAO/ACB</I>) æquale L. Ergo ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4750 locitates illæ $unt ad invicem in $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4751 ratione (<I>CPqXAOXSP/ACB</I>) ad <I>SY quad.</I> Por-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4752 ro ex Conicis e$t <I>CO</I> ad <I>BO</I> ut <I>BO</I> ad <I>TO,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4753 & compo$ite vel divi$im ut <I>CB</I> ad <I>BT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4754 Unde vel dividendo vel componendo fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4755 <I>BO</I>-vel+<I>CO</I> ad <I>BO</I> ut <I>CT</I> ad <I>BT,</I> id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4756 <I>AC</I> ad <I>AO</I> ut <I>CP</I> ad <I>BQ</I>; indeque (<I>CPqXAOXSP/ACB</I>) æquale e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4757 (<I>BQqXACXSP/AOXBC.</I>) Minuatur jam in infinitum Figuræ <I>RPB</I> latitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4758 do <I>CP,</I> $ic ut punctum <I>P</I> coeat cum puncto <I>C,</I> punctumque <I>S</I> cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4759 puncto <I>B,</I> & linea <I>SP</I> cum linea <I>BC,</I> lineaque <I>SY</I> cum linea <I>BQ</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4760 & corporis jam recta de$cendentis in linea <I>CB</I> velocitas fiet ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4761 velocitatem corporis centro <I>B</I> intervallo <I>BC</I> Circulum de$cribentis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4762 in $ubduplicata ratione ip$ius (<I>BQqXACXSP/AOXBC</I>) ad <I>SYq,</I> hoc e$t (neg-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4763 lectis æqualitatis rationibus <I>SP</I> ad <I>BC</I> & <I>BQq</I> ad <I>SYq</I>) in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4764 duplicata ratione <I>AC</I> ad <I>AO</I> $ive 1/2 <I>AB. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4765 <p><I>Corol.</I> 1. Punctis <I>B</I> & <I>S</I> coeuntibus, fit <I>TC</I> ad <I>TS</I> ut <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4766 ad <I>AO.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4767 <p><I>Corol.</I> 2. Corpus ad datam a centro di$tantiam in Circulo quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4768 vis revolvens, motu $uo $ur$um ver$o a$cendet ad duplam $uam a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4769 centro di$tantiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4770 <pb n=108>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4771 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4772 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4773 <C>PROPOSITIO XXXIV. THEOREMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4774 <p><I>Si Figura</I> BED <I>Parabola e$t, dico</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4775 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4776 <I>quod corporis cadentis Veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4777 tas in loco quovis</I> C <I>æqualis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4778 velocitati qua corpus centro</I> B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4779 <I>dimidio intervalli $ui</I> BC <I>Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4780 culum uniformiter de$cribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4781 potest.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4782 <p>Nam corporis Parabolam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4783 <I>RPB</I> circa centrum <I>S</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4784 bentis velocitas in loco quovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4785 <I>P</I> (per Corol. 7. Prop. XVI) æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4786 qualis e$t velocitati corporis di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4787 midio intervalli <I>SP</I> Circulum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4788 ca idem centrum <I>S</I> uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4789 de$cribentis. Minuatur Parabolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4790 latitudo <I>CP</I> in infinitum eo, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4791 arcus Parabolicus <I>PfB</I> cum rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4792 ta <I>CB,</I> centrum <I>S</I> cum vertice <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4793 & intervallum <I>SP</I> cum intervallo <I>BC</I> coincidat, & con$tabit Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4794 po$itio. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4795 <C>PROPOSITIO XXXV. THEOREMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4796 <p><I>Ii$dem po$itis, dico quod area Figuræ</I> DES, <I>radio indefinito</I> SD <I>de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4797 $cripta, æqualis $it areæ quam corpus, radio dimidium lateris recti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4798 Figuræ</I> DES <I>æquante, circa centrum</I> S <I>uniformiter gyrando, eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4799 dem tempore de$cribere potest.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4800 <p>Nam concipe corpus <I>C</I> quam minima temporis particula lineo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4801 lam <I>Cc</I> cadendo de$cribere, & interea corpus aliud <I>K,</I> uniformi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4802 ter in Circulo <I>OKk</I> circa centrum <I>S</I> gyrando, arcum <I>Kk</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4803 bere. Erigantur perpendicula <I>CD, cd</I> occurrentia Figuræ <I>DES</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4804 in <I>D, d.</I> Jungantur <I>SD, Sd, SK, Sk</I> & ducatur <I>Dd</I> axi <I>AS</I> oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4805 rens in <I>T,</I> & ad eam demittatur perpendiculum <I>SY.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4806 <pb n=109>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4807 <p><I>Ca$.</I> 1. Jam $i Figura <I>DES</I> Circulus e$t vel Hyperbola, bi$ece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4808 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4809 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4810 tur ejus tran$ver$a diameter <I>AS</I> in <I>O,</I> & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4811 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4812 <I>SO</I> dimidium lateris recti. Et quoniam e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4813 <I>TC</I> ad <I>TD</I> ut <I>Cc</I> ad <I>Dd,</I> & <I>TD</I> ad <I>TS</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4814 <I>CD</I> ad <I>SY,</I> erit ex æquo <I>TC</I> ad <I>TS</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4815 <I>CDXCc</I> ad <I>SYXDd.</I> Sed per Corol. 1. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4816 XXXIII, e$t <I>TC</I> ad <I>TS</I> ut <I>AC</I> ad <I>AO,</I> puta $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4817 in coitu punctorum <I>D, d</I> capiantur linearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4818 rationes ultimæ. Ergo <I>AC</I> e$t ad (<I>AO</I> $eu) <I>SK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4819 ut <I>CDXCc</I> ad <I>SYXDd.</I> Porro corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4820 de$cendentis velocitas in <I>C</I> e$t ad velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4821 corporis Circulum intervallo <I>SC</I> circa cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4822 trum <I>S</I> de$cribentis in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4823 <I>AC</I> ad (<I>AO</I> vel) <I>SK</I> (per Prop. XXXIII.) Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4824 hæc velocitas ad velocitatem corporis de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4825 bentis Circulum <I>OKk</I> in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4826 <I>SK</I> ad <I>SC</I> per Cor. 6. Prop. IV, & ex æquo velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4827 citas prima ad ultimam, hoc e$t lineola <I>Cc</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4828 arcum <I>Kk</I> in $ubduplicata ratione <I>AC</I> ad <I>SC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4829 id e$t in ratione <I>AC</I> ad <I>CD.</I> Quare e$t <I>CDXCc</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4830 æquale <I>ACXKk,</I> & propterea <I>AC</I> ad <I>SK</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4831 <I>ACXKk</I> ad <I>SYXDd,</I> indeq; <I>SKXKk</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4832 le <I>SYXDd,</I> & 1/2 <I>SKXKk</I> æquale 1/2 <I>SYXDd,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4833 id e$t area <I>KSk</I> æqualis areæ <I>SDd.</I> Singulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4834 igitur temporis particulis generantur arearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4835 duarum particulæ <I>KSk,</I> & <I>SDd,</I> quæ, $i mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4836 nitudo earum minuatur & numerus augeatur in infinitum, ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4837 nem obtinent æqualitatis, & propterea (per Corollarium Lem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4838 matis IV) areæ totæ $imul genitæ $unt $emper æquales, <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4839 <p><I>Ca$.</I> 2. Quod $i Figura <I>DES</I> Parabola $it, invenietur e$$e ut $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4840 pra <I>CDXCc</I> ad <I>SYXDd</I> ut <I>TC</I> ad <I>TS,</I> hoc e$t ut 2 ad 1, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4841 eoque 1/4 <I>CDXCc</I> æquale e$$e 1/2 <I>SYXDd.</I> Sed corporis caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4842 tis velocitas in <I>C</I> æqualis e$t velocitati qua Circulus intervallo 1/2 <I>SC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4843 uniformiter de$cribi po$$it (per Prop. XXXIV) Et hæc velocitas ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4844 locitatem qua Circulus radio <I>SK</I> de$cribi po$$it, hoc e$t, lineola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4845 <I>Cc</I> ad arcum <I>Kk</I> (per Corol. 6. Prop. IV) e$t in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4846 <I>SK</I> ad 1/2 <I>SC,</I> id e$t, in ratione <I>SK</I> ad 1/2 <I>CD.</I> Quare e$t 1/2 <I>SKXKk</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4847 æquale 1/4 <I>CDXCc,</I> adeoque æquale 1/2 <I>SYXDd,</I> hoc e$t, area <I>KSk</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4848 æqualis areæ <I>SDd,</I> ut $upra. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4849 <pb n=110>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4850 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4851 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4852 <C>PROPOSITIO XXXVI. PROBLEMA XXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4853 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4854 <p><I>Corporis de loco dato</I> A <I>cadentis determinare Tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4855 pora de$cen$us.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4856 <p>Super diametro <I>AS</I> (di$tantia corporis a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4857 tro $ub initio) de$cribe Semicirculum <I>ADS,</I> ut &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4858 huic æqualem Semicirculum <I>OKH</I> circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4859 <I>S.</I> De corporis loco quovis <I>C</I> erige ordinatim ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4860 plicatam <I>CD.</I> Junge <I>SD,</I> & areæ <I>ASD</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4861 lem con$titue $ectorem <I>OSK.</I> Patet per Prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4862 XXXV, quod corpus cadendo de$cribet $patium <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4863 eodem Tempore quo corpus aliud uniformiter cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4864 ca centrum <I>S</I> gyrando, de$cribere pote$t arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4865 <I>OK. Q. E. F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4866 <C>PROPOSITIO XXXVII. PROBLEMA XXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4867 <C><I>Corporis de loco dato $ur$um vel deor$um projecti definire Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4868 a$cen$us vel de$cen$us.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4869 <p>Exeat corpus de loco dato <I>G</I> $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4870 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4871 lineam <I>ASG</I> cum velocitate quacunque.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4872 In duplicata ratione hujus velocitatis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4873 uniformem in Circulo velocitatem, qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4874 pus ad intervallum datum <I>SG</I> circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4875 <I>S</I> revolvi po$$et, cape <I>GA</I> ad 1/2 <I>AS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4876 Si ratio illa e$t numeri binarii ad unita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4877 tem, punctum <I>A</I> infinite di$tat, quo ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4878 $u Parabola vertice <I>S,</I> axe <I>SC,</I> latere quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4879 vis recto de$cribenda e$t. Patet hoc per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4880 Prop. XXXIV. Sin ratio illa minor vel ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4881 jor e$t quam 2 ad 1, priore ca$u Circulus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4882 po$teriore Hyperbola rectangula $uper di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4883 ametro <I>SA</I> de$cribi debet. Patet per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4884 Prop. XXXIII. Tum centro <I>S,</I> intervallo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4885 æquante dimidium lateris recti, de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4886 Circulus <I>HKk,</I> & ad corporis a$cenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4887 tis vel de$cendentis loca duo quævis <I>G, C,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4888 erigantur perpendicula <I>GI, CD</I> occurren-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4889 tia Conicæ Sectioni vel Circulo in <I>I</I> ac <I>D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4890 <pb n=111>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4891 Dein junctis <I>SI, SD,</I> fiant $egmentis <I>SEIS, SEDS,</I> $ec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4892 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4893 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4894 tores <I>HSK, HSk</I> æquales, & per Prop. XXXV, corpus <I>G</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4895 bet $patium <I>GC</I> eodem Tempore quo corpus <I>K</I> de$cribere po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4896 te$t arcum <I>Kk. Q. E. F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4897 <C>PROPOSITIO XXXVIII. THEOREMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4898 <p><I>Po$ito quod Vis centripeta proportionalis $it altitudini $eu di$tantiæ lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4899 corum a centro, dico quod cadentium Tempora, Velocitates & Spa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4900 tia de$cripta $unt arcubus, arcuumque finibus rectis & $inibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4901 ver$is re$pective proportionalia.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4902 <p>Cadat corpus de loco quovis <I>A</I> $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4903 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4904 dum rectam <I>AS</I>; & centro virium <I>S,</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4905 tervallo <I>AS,</I> de$cribatur Circuli quadrans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4906 <I>AE,</I> $itque <I>CD</I> $inus rectus arcus cuju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4907 vis <I>AD</I>; & corpus <I>A,</I> Tempore <I>AD,</I> ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4908 dendo de$cribet Spatium <I>AC,</I> inque loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4909 <I>C</I> acquiret Velocitatem <I>CD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4910 <p>Demon$tratur eodem modo ex Propo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4911 tione X, quo Propo$itio XXXII, ex Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4912 $itione XI demon$trata fuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4913 <p><I>Corol.</I> 1. Hinc æqualia $unt Tempora quibus corpus unum de loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4914 <I>A</I> cadendo pervenit ad centrum <I>S,</I> & corpus aliud revolvendo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4915 $cribit arcum quadrantalem <I>ADE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4916 <p><I>Corol.</I> 2. Proinde æqualia $unt Tempora omnia quibus corpora de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4917 locis quibu$vis ad u$que centrum cadunt. Nam revolventium tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4918 pora omnia periodica (per Corol. 3. Prop. IV.) æquantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4919 <pb n=112>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4920 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4921 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4922 <C>PROPOSITIO XXXIX. PROBLEMA XXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4923 <p><I>Po$ita cuju$cunque generis Vi centripeta, & conce$$is figurarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4924 curvilinearum quadraturis, requiritu, corporis recta a$cenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4925 tis vel de$cendentis tum Velocitas in locis $ingulis, tum Tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4926 quo corpus ad locum quemvis perveniet: Et contra.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4927 <p>De loco quovis <I>A</I> in recta <I>ADEC</I> cadat corpus <I>E,</I> deque loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4928 ejus <I>E</I> erigatur $emper perpendicularis <I>EG,</I> vi centripetæ in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4929 illo ad centrum <I>C</I> tendenti proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4930 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4931 nalis: Sitque <I>BFG</I> linea curva quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4932 punctum <I>G</I> perpetuo tangit. Coinci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4933 dat autem <I>EG</I> ip$o motus initio cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4934 perpendiculari <I>AB,</I> & erit corporis Ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4935 locitas in loco quovis <I>E</I> ut areæ cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4936 vilineæ <I>ABGE</I> latus quadratum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4937 <I>Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4938 <p>In <I>EG</I> capiatur <I>EM</I> lateri quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4939 to areæ <I>ABGE</I> reciproce proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4940 nalis, & $it <I>ALM</I> linea curva quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4941 punctum <I>M</I>perpetuotangit, & erit Tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4942 pus quo corpus cadendo de$cribit li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4943 neam <I>AE</I> ut area curvilinea <I>ALME.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4944 Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4945 <p>Etenim in recta <I>AE</I> capiatur linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4946 quam minima <I>DE</I> datæ longitudinis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4947 $itque <I>DLF</I> locus lineæ <I>EMG</I> ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4948 corpus ver$abatur in <I>D</I>; & $i ea $it vis centripeta, ut areæ <I>ABGE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4949 latus quadratum $it ut de$cendentis velocitas, erit area ip$a in du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4950 plicata ratione velocitatis, id e$t, $i pro velocitatibus in <I>D</I> & <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4951 $cribantur V & V+I, erit area <I>ABFD</I> ut VV, & area <I>ABGE</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4952 VV+2 VI+II, & divi$im area <I>DFGE</I> ut 2 VI+II, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4953 (<I>DFGE/DE</I>) ut (2VI+II/<I>DE</I>), id e$t, $i primæ quantitatum na$centium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4954 rationes $umantur, longitudo <I>DF</I> ut quantitas (2VI/<I>DE</I>), adeoque e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4955 tiam ut quantitatis hujus dimidium (IXV/<I>DE</I>). E$t autem tempus quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4956 <pb n=113>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4957 corpus cadendo de$cribit lineolam <I>DE,</I> ut lineola illa directe &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4958 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4959 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4960 velocitas V inver$e, e$tque vis ut velocitatis incrementum I directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4961 & tempus inver$e, adeoque $i primæ na$centium rationes $uman-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4962 tur, ut (IXV/<I>DE</I>), hoc e$t, ut longitudo <I>DF.</I> Ergo Vis ip$i <I>DF</I> vel <I>EG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4963 proportionalis facit ut corpus ea cum Velocitate de$cendat quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4964 ut areæ <I>ABGE</I> latus quadratum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4965 <p>Porro cum tempus, quo quælibet longitudinis datæ lineola <I>DE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4966 de$cribatur, $it ut velocitas inver$e adeoque ut areæ <I>ABFD</I> latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4967 quadratum inver$e; $itque <I>DL,</I> atque adeo area na$cens <I>DLME,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4968 ut idem latus quadratum inver$e: erit tempus ut area <I>DLME,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4969 $umma omnium temporum ut $umma omnium arearum, hoc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4970 (per Corol. Lem. IV) Tempus totum quo linea <I>AE</I> de$cribitur ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4971 area tota <I>AME. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4972 <p><I>Corol.</I> 1. Si <I>P</I> $it locus de quo corpus cadere debet, ut, urgen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4973 te aliqua uniformi vi centripeta nota (qualis vulgo $upponitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4974 Gravitas) velocitatem acquirat in loco <I>D</I> æqualem velocitati
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4975 quam corpus aliud vi quacunque cadens acqui$ivit eodem loco <I>D,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4976 & in perpendiculari <I>DF</I> capiatur <I>DR,</I> quæ $it ad <I>DF</I> ut vis illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4977 uniformis ad vim alteram in loco <I>D,</I> & compleatur rectangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4978 <I>PDRQ,</I> eique æqualis ab$cindatur area <I>ABFD;</I> erit <I>A</I> locus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4979 de quo corpus alterum cecidit. Namque completo rectangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4980 <I>DRSE,</I> cum $it area <I>ABFD</I> ad aream <I>DFGE</I> ut VV ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4981 2VI, adeoque ut 1/2 V ad I, id e$t, ut $emi$$is velocitatis totius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4982 ad incrementum velocitatis corporis vi inæquabili cadentis; & $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4983 militer area <I>PQRD</I> ad aream <I>DRSE</I> ut $emi$$is velocitatis to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4984 tius ad incrementum velocitatis corporis uniformi vi cadentis;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4985 $intque incrementa illa (ob æqualitatem temporum na$centium)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4986 ut vires generatrices, id e$t, ut ordinatim applicatæ <I>DF, DR,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4987 adeoque ut areæ na$centes <I>DFGE, DRSE</I>; erunt (ex æquo)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4988 areæ totæ <I>ABFD, PQRD</I> ad invicem ut $emi$$es totarum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4989 locitatum, & propterea (ob æqualitatem velocitatum) æquantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4990 <p><I>Corol.</I> 2. Unde $i corpus quodlibet de loco quocunque <I>D</I> data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4991 cum velocitate vel $ur$um vel deor$um projiciatur, & detur lex vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4992 centripetæ, invenietur velocitas ejus in alio quovis loco <I>e,</I> erigen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4993 do ordinatam <I>eg,</I> & capiendo velocitatem illam ad velocitatem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4994 loco <I>D</I> ut e$t latus quadratum rectanguli <I>PQRD</I> area curvili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4995 nea <I>DFge</I> vel aucti, $i locus <I>e</I> e$t loco <I>D</I> inferior, vel diminuti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4996 $i is $uperior e$t, ad latus quadratum rectanguli $olius <I>PQRD,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4997 e$t, ut √<I>PQRD</I>+vel-<I>DFge</I> ad √<I>PQRD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4998 <pb n=114>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	4999 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5000 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5001 <p><I>Corol.</I> 3. Tempus quoque innote$cet erigendo ordinatam <I>em</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5002 ciproce proportionalem lateri quadrato ex <I>PQRD</I>+vel-<I>DFge,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5003 & capiendo tempus quo corpus de$crip$it lineam <I>De</I> ad tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5004 quo corpus alterum vi uniformi cecidit a <I>P</I> & cadendo pervenit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5005 <I>D,</I> ut area curvilinea <I>DLme</I> ad rectangulum 2<I>PDXDL.</I> Nam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5006 que tempus quo corpus vi uniformi de$cendens de$crip$it lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5007 <I>PD</I> e$t ad tempus quo corpus idem de$crip$it lineam <I>PE</I> in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5008 duplicata ratione <I>PD</I> ad <I>PE,</I> id e$t (lineola <I>DE</I> jamjam na$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5009 te) in ratione <I>PD</I> ad <I>PD</I>+1/2 <I>DE</I> $eu 2<I>PD</I> ad 2<I>PD+DE,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5010 & divi$im, ad tempus quo corpus idem de$crip$it lineolam <I>DE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5011 ut 2<I>PD</I> ad <I>DE,</I> adeoque ut rectangulum 2<I>PDXDL</I> ad aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5012 <I>DLME</I>; e$tque tempus quo corpus utrumque de$crip$it lineo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5013 lam <I>DE</I> ad tempus quo corpus alterum inæquabili motu de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5014 $it lineam <I>De</I> ut area <I>DLME</I> ad aream <I>DLme,</I> & ex æquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5015 tempus primum ad tempus ultimum ut rectangulum 2<I>PDXDL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5016 ad aream <I>DLme.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5017 <C>SECTIO VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5018 <C><I>De Inventione Orbium in quibus corpora Viribus quibu$cunque cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5019 tripetis agitata revolvuntur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5020 <C>PROPOSITIO XL. THEOREMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5021 <p><I>Si corpus, cogente Vi quacunque centripeta, moveatur utcunque, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5022 corpus aliud recta a$cendat vel de$cendat, $intque eorum Velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5023 tes in aliquo æqualium altitudinum ca$u æquales, Velocitates eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5024 in omnibus æqualibus altitudinibus erunt æquales.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5025 <p>De$cendat corpus aliquod ab <I>A</I> per <I>D, E,</I> ad centrum <I>C,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5026 moveatur corpus aliud a <I>V</I> in linea curva <I>VIKk,</I> Centro <I>C</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5027 tervallis quibu$vis de$cribantur circuli concentrici <I>DI, EK</I> rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5028 <I>AC</I> in <I>D</I> & <I>E,</I> curvæque <I>VIK</I> in <I>I</I> & <I>K</I> occurrentes. Junga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5029 tur <I>IC</I> occurrens ip$i <I>KE</I> in <I>N;</I> & in <I>IK</I> demittatur perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5030 culum <I>NT</I>; $itque circumferentiarum circulorum intervallum <I>DE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5031 vel <I>IN</I> quam minimum, & habeant corpora in <I>D</I> & <I>I</I> velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5032 <pb n=115>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5033 tes æquales. Quoniam di$tantiæ <I>CD, CI</I> æquantur, erunt vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5034 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5035 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5036 res centripetæ in <I>D</I> & <I>I</I> æquales. Exponantur hæ vires per æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5037 quales lineolas <I>DE, IN</I>; & $i vis una <I>IN</I> (per Legum Corol. 2.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5038 re$olvatur in duas <I>NT</I> & <I>IT,</I> vis <I>NT,</I> agendo $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5039 <I>NT</I> corporis cur$ui <I>ITK</I> perpendicularem, nil mutabit velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5040 tem corporis in cur$u illo, $ed retrahet $olummodo corpus a cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5041 $u rectilineo, facietque ip$um de Orbis tangente perpetuo deflecte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5042 re, inque via curvilinea <I>ITKk</I> progredi. In hoc effectu produ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5043 cendo vis illa tota con$umetur: vis autem altera <I>IT,</I> $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5044 corporis cur$um agendo, tota accelerabit illud, ac dato tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5045 pore quam minimo accelerationem generabit $ibi ip$i proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5046 lem. Proinde corporum in <I>D</I> & <I>I</I> accelerationes æqualibus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5047 poribus factæ ($i $umantur linearum na$centium <I>DE, IN, IK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5048 IT, NT</I> rationes primæ) $unt ut lineæ <I>DE, IT:</I> temporibus au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5049 tem inæqualibus ut lineæ illæ & tempora conjunctim. Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5050 autem quibus <I>DE</I> & <I>IK</I> de$cribuntur, ob æqualitatem velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5051 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5052 tum $unt ut viæ de$criptæ <I>DE</I> & <I>IK,</I> adeoque accelerationes, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5053 cur$u corporum per lineas <I>DE</I> & <I>IK,</I> funt ut <I>DE</I> & <I>IT, DE</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5054 <I>IK</I> conjunctim, id e$t ut <I>DE quad</I> & <I>ITXIK rectangulum.</I> Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5055 <I>rectangulum ITXIK</I> æquale e$t <I>IN quadrato,</I> hoc e$t, æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5056 <I>DE quadrato;</I> & propterea accelerationes in tran$itu corporum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5057 <I>D</I> & <I>I</I> ad <I>E</I> & <I>K</I> æquales gcnerantur. Æquales igitur $unt cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5058 <pb n=116>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5059 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5060 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5061 porum velocitates in <I>E</I> & <I>K</I> & eodem argumento $emper reperi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5062 entur æquales in $ub$equentibus æqualibus di$tantiis. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5063 <p>Sed & eodem argumento corpora æquivelocia & æqualiter a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5064 tro di$tantia, in a$cen$u ad æquales di$tantias æqualiter retarda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5065 buntur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5066 <p><I>Corol.</I> 1. Hinc $i corpus vel funipendulum o$cilletur, vel im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5067 pedimento quovis politi$$imo & perfecte lubrico cogatur in li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5068 nea curva moveri, & corpus aliud recta a$cendat vel de$cendat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5069 $intque velocitates eorum in eadem quacunque altitudine æquales:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5070 erunt velocitates eorum in aliis quibu$cunque æqualibus altitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5071 nibus æquales. Namque impedimento va$is ab$olute lubrici idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5072 præ$tatur quod vi tran$ver$a <I>NT.</I> Corpus eo non retardatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5073 non acceleratur, $ed tantum cogitur de cur$u rectilineo di$cedere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5074 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5075 <p><I>Corol.</I> 2. Hinc etiam $i quantitas P $it mazima a centro di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5076 tia, ad quam corpus vel o$cillans vel in Trajectoria quacunque re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5077 volvens, deque quovis Trajectoriæ puncto, ea quam ibi habet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5078 velocitate $ur$um projectum a$cendere po$$it; $itque quantitas A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5079 di$tantia corporis a centro in alio quovis Orbitæ puncto, & vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5080 centripeta $emper $it ut ip$ius A dignitas quælibet A<SUP><I>n</I>-1</SUP>, cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5081 Index <I>n</I>-1 e$t numerus quilibet <I>n</I> unitate diminutus; velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5082 corporis in omni altitudine A erit ut √P<SUP><I>n</I></SUP>-A<SUP><I>n</I></SUP>, atque adeo da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5083 tur. Namque velocitas recta a$cendentis ac de$cendentis (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5084 XXXIX) e$t in hac ip$a ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5085 <pb n=117>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5086 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5087 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5088 <C>PROPOSITIO XLI. PROBLEMA XXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5089 <p><I>Po$ita cuju$cunque generis Vi centripeta & conce$$is Figurarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5090 curvilinearum quadraturis, requiruntur tum Trajectoriæ in qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5091 bus corpora movebuntur, tum Tempora motuum in Trajectoriis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5092 inventis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5093 <p>Tendat vis quælibet ad centrum <I>C</I> & invenienda $it Trajectoria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5094 <I>VITKk.</I> Detur Circulus <I>VXY</I> centro <I>C</I> intervallo quovis <I>CV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5095 de$criptus, centroque eodem de$cribantur alii quivis circuli <I>ID,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5096 KE</I> Trajectoriam $ecantes in <I>I</I> & <I>K</I> rectamque <I>CV</I> in <I>D</I> & <I>E.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5097 Age tum rectam <I>CNIX</I> $ecantem circulos <I>KE, VY</I> in <I>N</I> & <I>X,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5098 tum rectam <I>CKY</I> occurrentem circulo <I>VXY</I> in <I>Y.</I> Sint autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5099 puncta <I>I</I> & <I>K</I> $ibi invicem vicini$$ima, & pergat corpus ab <I>V</I> per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5100 <I>I, T</I> & <I>K</I> ad <I>k;</I> $itque punctum <I>A</I> locus ille de quo corpus aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5101 cadere debet ut in loco <I>D</I> velocitatem acquirat æqualem veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5102 tati corporis prioris in <I>I</I>; & $tantibus quæ in Propo$itione XXXIX,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5103 lineola <I>IK,</I> dato tempore quam minimo de$cripta, erit ut ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5104 locitas atque adeo ut latus quadratum areæ <I>ABFD,</I> & triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5105 lum <I>ICK</I> tempori proportionale dabitur, adeoque <I>KN</I> erit reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5106 proce ut altitudo <I>IC,</I> id e$t, $i detur quantitas aliqua Q, & alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5107 tudo <I>IC</I> nominetur A, ut Q/A. Hanc quantitatem Q/A nominemus Z,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5108 & ponamus eam e$$e magnitudinem ip$ius Q ut $it in aliquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5109 ca$u √ <I>ABFD</I> ad Z ut e$t <I>IK</I> ad <I>KN,</I> & erit in omni ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5110 √<I>ABFD</I> ad Z ut <I>IK</I> ad <I>KN,</I> & <I>ABFD</I> ad ZZ ut <I>IKq.</I> ad <I>KNq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5111 & divi$im <I>ABFD</I>-ZZ ad ZZ ut <I>IN quad</I> ad <I>KN quad,</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5112 eoque √<I>ABFD</I>-ZZ ad (Z $eu)Q/A ut <I>IN</I> ad <I>KN,</I> & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5113 AX<I>KN</I> æquale (QX<I>IN/√ABFD</I>-ZZ). Unde cum <I>YXXXC</I> $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5114 AX<I>KN</I> ut <I>CXq</I> ad AA, erit rectangulum <I>YXXXC</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5115 (QX<I>INXCX quad.</I>/AA√<I>ABFD</I>-ZZ). Igitur $i in perpendiculo <I>DF</I> capiantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5116 $emper <I>Db, Dc</I> ip$is (Q/2√<I>ABFD</I>-ZZ) & (QX<I>CX quad.</I>/2AA√<I>ABFD</I>-ZZ)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5117 æquales re$pective, & de$cribantur curvæ lineæ <I>ab, cd</I> quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5118 <pb n=118>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5119 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5120 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5121 puncta <I>b, c</I> perpetuo tangunt; deque puncto <I>V</I> ad lineam <I>AC</I> eri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5122 gatur perpendiculum <I>Vad</I> ab$cindens areas curvilineas <I>VDba,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5123 VDcd,</I> & erigantur etiam ordinatæ <I>Ez, Ex:</I> quoniam rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5124 gulum <I>DbXIN</I> $eu <I>DbzE</I> æquale e$t dimidio rectanguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5125 AX<I>KN,</I> $eu triangulo <I>ICK</I>; & rectangulum <I>DcXIN</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5126 <I>DcxE</I> æquale e$t dimidio rectanguli <I>YXXXC,</I> $eu triangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5127 <I>XCY;</I> hoc e$t, quoniam arearum <I>VDba, VIC</I> æquales $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5128 $unt na$centes particulæ <I>DbzE, ICK,</I> & arearum <I>VDcd,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5129 VCX</I> æquales $emper $unt na$centes particulæ <I>DcxE, XCY,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5130 erit area genita <I>VDba</I> æqualis areæ genitæ <I>VIC,</I> adeoque tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5131 pori proportionalis, & area genita <I>VDcd</I> æqualis Sectori ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5132 nito <I>VCX.</I> Dato igitur tempore quovis ex quo corpus di$ce$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5133 $it de loco <I>V,</I> dabitur area ip$i proportionalis <I>VDba,</I> & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5134 dabitur corporis altitudo <I>CD</I> vel <I>CI</I>; & area <I>VDcd,</I> eique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5135 æqualis Sector <I>VCX</I> una cum ejus angulo <I>VCI.</I> Datis autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5136 angulo <I>VCI</I> & altitudine <I>CI</I> datur locus <I>I,</I> in quo corpus com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5137 pleto illo tempore reperietur. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5138 <p><I>Corol.</I> 1. Hinc maximæ minimæque corporum altitudines, id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5139 Ap$ides Trajectoriarum expedite inveniri po$$unt. Sunt enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5140 Ap$ides puncta illa in quibus recta <I>IC</I> per centrum ducta incidit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5141 perpendiculariter in Trajectoriam <I>VIK:</I> id quod $it ubi rectæ <I>IK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5142 & <I>NK</I> æquantur, adeoque ubi area <I>ABFD</I> æqualis e$t ZZ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5143 <p><I>Corol.</I> 2. Sed & angulus <I>KIN,</I> in quo Trajectoria alibi $ecat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5144 lineam illam <I>IC,</I> ex data corporis altitudine <I>IC</I> expedite inveni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5145 tur; nimirum capiendo $inum ejus ad radium ut <I>KN</I> ad <I>IK,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5146 e$t, ut Z ad latus quadratum areæ <I>ABFD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5147 <p><I>Corol.</I> 3. Si centro <I>C</I> & vertice principali <I>V</I> de$cribatur Sectio quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5148 libet Conica <I>VRS,</I> & a quovis ejus puncto <I>R</I> agatur Tangens <I>RT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5149 occurrens axi infinite producto <I>CV</I> in puncto <I>T;</I> dein juncta <I>CR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5150 ducatur recta <I>CP,</I> quæ æqualis $it ab$ci$$æ <I>CT,</I> angulumque <I>VCP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5151 Sectori <I>VCR</I> proportionalem con$tituat; tendat autem ad centrum <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5152 Vis centripeta Cubo di$tantiæ locorum a centro reciproce propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5153 tionalis, & exeat corpus de loco <I>V</I> ju$ta cum Velocitate $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5154 lineam rectæ <I>CV</I> perpendicularem: progredietur corpus illud in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5155 Trajectoria quam punctum <I>P</I> perpetuo tangit; adeoque $i Conica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5156 $ectio <I>CVRS</I> Hyperbola $it, de$cendet idem ad centrum: Sin
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5157 ea Ellip$is $it, a$cendet illud perpetuo & abibit in infinitum. Et con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5158 tra, $i corpus quacunque cum Velocitate exeat de loco <I>V,</I> & perin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5159 de ut incæperit vel oblique de$cendere ad centrum, vel ab eo ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5160 <pb n=119>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5161 lique a$cendere, Figura <I>CVRS</I> vel Hyperbola $it vel Ellip$is, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5162 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5163 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5164 veniri pote$t Trajectoria augendo vel minuendo angulum <I>VCP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5165 in data aliqua ratione. Sed &, Vi centripeta in centrifugam ver$a,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5166 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5167 a$cendet corpus oblique in Trajectoria <I>VPQ</I> quæ invenitur capi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5168 endo angulum <I>VCP</I> Sectori Elliptico <I>CVRC</I> proportionalem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5169 longitudinem <I>CP</I> longitudini <I>CT</I> æqualem ut $upra. Con$equun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5170 tur hæc omnia ex Propo$itione præcedente, per Curvæ cuju$dam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5171 quadraturam, cujus inventionem, ut $atis facilem, brevitatis gratia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5172 mi$$am facio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5173 <C>PROPOSITIO XLII. PROBLEMA XXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5174 <p><I>Data lege Vis centripetæ, requiritur motus corporis de loco dato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5175 data cum Velocitate $ecundum datam rectam egre$$i.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5176 <p>Stantibus quæ in tribus Propo$itionibus præcedentibus: exeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5177 corpus de loco <I>I</I> $ecundum lineolam <I>IT,</I> ea cum Velocitate quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5178 corpus aliud, vi aliqua uniformi centripeta, de loco <I>P</I> cadendo ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5179 quirere po$$et in <I>D:</I> $itque hæc vis uniformis ad vim qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5180 <pb n=120>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5181 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5182 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5183 primum urgetur in <I>I,</I> ut <I>DR</I> ad <I>DF.</I> Pergat autem corpus ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5184 <I>k;</I> centroque <I>C</I> & intervallo <I>Ck</I> de$cribatur circulus <I>ke</I> occurrens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5185 rectæ <I>PD</I> in <I>e,</I> & erigantur curvarum <I>ALMm, BFGg, abzv, dcxw</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5186 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5187 ordinatim applicatæ <I>em, eg, ev, ew.</I> Ex dato rectangulo <I>PDRQ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5188 dataque lege vis centripetæ qua corpus primum agitatur, dantur cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5189 væ lineæ <I>BFGg, ALMm,</I> per con$tructionem Problematis XXVII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5190 & ejus Corol. 1. Deinde ex dato angulo <I>CIT</I> datur proportio na$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5191 tium <I>IK, KN,</I> & inde, per con$tructionem Prob. XXVIII, datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5192 quantitas Q, una cum curvis lineis <I>abzv, dcxw:</I> adeoque com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5193 pleto tempore quovis <I>Dbve,</I> datur tum corporis altitudo <I>Ce</I> vel <I>Ck,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5194 tum area <I>Dcwe,</I> eique æqualis Sector <I>XCy,</I> angulu$que <I>ICk</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5195 locus <I>k</I> in quo corpus tunc ver$abitur. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5196 <p>Supponimus autem in his Propo$itionibus Vim centripetam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5197 rece$$u quidem a centro variari $ecundum legem quamcunque quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5198 quis imaginari pote$t, in æqualibus autem a centro di$tantiis e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5199 undeque eandem. Atque hactenus Motum corporum in Orbibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5200 immobilibus con$ideravimus. Supere$t ut de Motu eorum in Orbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5201 bus qui circa centrum virium revolvuntur adjiciamus pauca.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5202 <pb n=121>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5203 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5204 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5205 <C>SECTIO IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5206 <C><I>De Motu Corporum in Orbibus mobilibus, deque motu Apfidum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5207 <C>PROPOSITIO XLIII. PROBLEMA XXX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5208 <p><I>Efficiendum est ut corpus in Trajectoria quacunque circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5209 Virium revolvente perinde moveri po$$it, atque corpus aliud in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5210 eadem Trajectoria quie$cente.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5211 <p>In Orbe <I>VPK</I> po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5212 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5213 $itione dato revolvatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5214 corpus <I>P</I> pergendo a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5215 <I>V</I> ver$us <I>K.</I> A centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5216 <I>C</I> agatur $emper <I>Cp,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5217 quæ $it ip$i <I>CP</I> æqualis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5218 angulumque <I>VCp</I> an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5219 gulo <I>VCP</I> proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5220 nalem con$tituat; & a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5221 rea quam linea <I>Cp</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5222 $cribit erit ad aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5223 <I>VCP</I> quam linea <I>CP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5224 $imul de$cribit, ut velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5225 citas lineæ de$cribentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5226 <I>Cp</I> ad velocitatem li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5227 neæ de$cribentis <I>CP</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5228 hoc e$t, ut angulus <I>VCp</I> ad angulum <I>VCP,</I> adeoque in data ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5229 tione, & propterea tempori proportionalis. Cum area tempori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5230 proportionalis $it quam linea <I>Cp</I> in plano immobili de$cribit, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5231 nife$tum e$t quod corpus, cogente ju$tæ quantitatis Vi centripeta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5232 revolvi po$$it una cum puncto <I>p</I> in Curva illa linea quam punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5233 idem <I>p</I> ratione jam expo$ita de$cribit in plano immobili. Fiat angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5234 lus <I>VCu</I> angulo <I>PCp,</I> & linea <I>Cu</I> lineæ <I>CV,</I> atque Figura <I>uCp</I> Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5235 guræ <I>VCP</I> æqualis, & corpus in <I>p</I> $emper exi$tens movebitur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5236 <pb n=122>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5237 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5238 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5239 perimetro Figuræ revolventis <I>uCp,</I> eodemque tempore de$cribet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5240 arcum ejus <I>up</I> quo corpus aliud <I>P</I> arcum ip$i $imilem & æqualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5241 <I>VP</I> in Figura quie$cente <I>VPK</I> de$cribere pote$t. Quæratur igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5242 tur, per Corollarium quintum propo$itionis VI, Vis centripeta qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5243 corpus revolvi po$$it in Curva illa linea quam punctum <I>p</I> de$cribit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5244 in plano immobili, & $olvetur Problema. <I>Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5245 <C>PROPOSITIO XLIV. THEOREMA XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5246 <p><I>Differentia Virium, quibus corpus in Orbe quie$cente, & corpus a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5247 liud in eodem Orbe revolvente æqualiter moveri po$$unt, est
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5248 in triplicata ratione communis altitudinis inver$e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5249 <p>Partibus Orbis quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5250 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5251 $centis <I>VP, PK</I> $unto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5252 $imiles & æquales Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5253 bis revolventis partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5254 <I>up, pk</I>; & punctorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5255 <I>P, K</I> di$tantia intelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5256 gatur e$$e quam mini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5257 ma. A puncto <I>k</I> in re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5258 ctam <I>pC</I> demitte per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5259 pendiculum <I>kr,</I> idem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5260 que produc ad <I>m,</I> ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5261 <I>mr</I> ad <I>kr</I> ut angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5262 <I>VCp</I> ad angulum <I>VCP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5263 Quoniam corporum al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5264 titudines <I>PC</I> & <I>pC, KC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5265 & <I>kC</I> $emper æquan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5266 tur, manife$tum e$t quod linearum <I>PC</I> & <I>pC</I> incrementa vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5267 decrementa $emper $int æqualia, ideoque $i corporum in locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5268 <I>P</I> & <I>p</I> exi$tentium diftinguantur motus $inguli (per Legum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5269 Corol. 2.) in binos, quorum hi ver$us centrum, $ive $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5270 lineas <I>PC, pC</I> determinentur, & alteri prioribus tran$ver$i $int,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5271 & $ecundum lineas ip$is <I>PC, pC</I> perpendiculares directionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5272 habeant; motus ver$us centrum erunt æquales, & motus tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5273 ver$us corporis <I>p</I> erit ad motum tran$ver$um corporis <I>P,</I> ut mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5274 tus angularis lineæ <I>pC,</I> ad motum angularem lineæ <I>PC,</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5275 <pb n=123>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5276 ut angulus <I>VCp</I> ad angulum <I>VCP.</I> Igitur eodem tempore quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5277 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5278 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5279 corpus <I>P</I> motu $uo utroque pervenit ad punctum <I>K,</I> corpus <I>p</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5280 quali in centrum motu æqualiter movebitur a <I>p</I> ver$us <I>C,</I> adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5281 completo illo tempore reperietur alicubi in linea <I>mkr,</I> quæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5282 punctum <I>k</I> in lineam <I>pC</I> perpendicularis e$t; & motu tran$ver$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5283 acquiret di$tantiam a linea <I>pC,</I> quæ $it ad di$tantiam quam cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5284 pus alterum <I>P</I> acquirit a linea <I>PC,</I> ut e$t motus tran$ver$us cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5285 poris <I>p</I> ad motum tran$ver$um corporis alterius <I>P.</I> Quare cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5286 <I>kr</I> æqualis $it di$tantiæ quam corpus <I>P</I> acquirit a linea <I>PC,</I> $itque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5287 <I>mr</I> ad <I>kr</I> ut angulus <I>VCp</I> ad angulum <I>VCP,</I> hoc e$t, ut motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5288 tran$ver$us corporis <I>p</I> ad motum tran$ver$um corporis <I>P,</I> manife-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5289 $tum e$t quod corpus <I>p</I> completo illo tempore reperietur in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5290 <I>m.</I> Hæc ita $e habebunt ubi corpora <I>p</I> & <I>P</I> æqualiter $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5291 lineas <I>pC</I> & <I>PC</I> moventur, adeoque æqualibus Viribus $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5292 lineas illas urgentur. Capiatur autem angulum <I>pCn</I> ad angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5293 <I>pCk</I> ut e$t angulus <I>VCp</I> ad angulus <I>VCP,</I> $itque <I>nC</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5294 <I>kC,</I> & corpus <I>p</I> completo illo tempore revera reperietur in <I>n</I>; ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5295 eoque Vi majore urgetur quam corpus <I>P,</I> $i modo angulus <I>mCp</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5296 angulo <I>kCp</I> major e$t, id e$t $i Orbis <I>upk</I> vel movetur in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5297 $equentia, vel movetur in antecedentia majore celeritate quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5298 $it dupla ejus qua linea <I>CP</I> in con$equentia fertur; & Vi mino-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5299 re $i Orbis tardius movetur in antecedentia. E$tque Virium dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5300 ferentia ut locorum intervallum <I>mn,</I> per quod corpus illud <I>p</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5301 ip$ius actione, dato illo temporis $patio, transferri debet. Centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5302 <I>C</I> intervallo <I>Cn</I> vel <I>Ck</I> de$cribi intelligatur Circulus $ecans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5303 lineas <I>mr, mn</I> productas in <I>s</I> & <I>t,</I> & erit rectangulum <I>mnXmt</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5304 quale rectangulo <I>mkXms,</I> adeoque <I>mn</I> æquale (<I>mkXms/mt</I>). Cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5305 autem triangula <I>pCk, pCn</I> dentur magnitudine, $unt <I>kr</I> & <I>mr,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5306 earumque differentia <I>mk</I> & $umma <I>ms</I> reciproce ut altitudo <I>pC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5307 adeoque rectangulum <I>mkXms</I> e$t reciproce ut quadratum altitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5308 nis <I>pC.</I> E$t & <I>mt</I> directe ut 1/2 <I>mt,</I> id e$t, ut altitudo <I>pC.</I> Hæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5309 $unt primæ rationes linearum na$centium; & hinc fit (<I>mkXms/mt</I>), id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5310 e$t lineola na$cens <I>mn,</I> eique proportionalis Virium differentia reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5311 proce ut cubus altitudinis <I>pC. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5312 <p><I>Corol.</I> 1. Hinc differentia virium in locis <I>P</I> & <I>p</I> vel <I>K</I> & <I>k,</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5313 ad vim qua corpus motu Circulari revolvi po$$it ab <I>R</I> ad <I>K</I> eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5314 tempore quo corpus <I>P</I> in Orbe immobili de$cribit arcum <I>PK,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5315 lineola na$cens <I>mn</I> ad $inum ver$um arcus na$centis <I>RK,</I> id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5316 <pb n=124>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5317 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5318 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5319 ut (<I>mkXms/mt</I>) ad (<I>rkq/2kC</I>), vel ut <I>mkXms</I> ad <I>rk</I> quadratum; hoc e$t, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5320 capiantur datæ quantitates F, G in ea ratione ad invicem quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5321 habet angulus <I>VCP</I> ad angulum <I>VCp,</I> ut GG-FF ad FF. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5322 propterea, $i centro <I>C</I> intervallo quovis <I>CP</I> vel <I>Cp</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5323 Sector circularis æqualis areæ toti <I>VPC,</I> quam corpus <I>P</I> tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5324 quovis in Orbe immobili revolvens radio ad centrum ducto de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5325 $crip $it: differentia virium, quibus corpus <I>P</I> in Orbe immobili &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5326 corpus <I>p</I> in Orbe mobili revolvuntur, erit ad vim centripetam qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5327 corpus aliquod radio ad centrum ducto Sectorem illum, eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5328 pore quo de$cripta $it area <I>VPC</I> uniformiter de$eribere potui$$et,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5329 ut GG-FF ad FF. Namque Sector ille & area <I>pCk</I> $unt ad in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5330 vicem ut tempora quibus de$cribuntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5331 <p><I>Corol.</I> 2. Si Orbis <I>VPK</I> Ellip$is $it umbilicum habens <I>C</I> & Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5332 $idem $ummam <I>V;</I> eique $imilis & æqualis ponatur Ellip$is <I>upk,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5333 ita ut $it $emper <I>pC</I> æqualis <I>PC,</I> & angulus <I>VCp</I> $it ad angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5334 <I>VCP</I> in data ratione G ad F; pro altitudine autem <I>PC</I> vel <I>pC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5335 $cribatur A, & pro Ellip$eos latere recto ponatur 2 R: erit vis qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5336 corpus in Ellip$i mobili revolvi pote$t, ut (FF/AA)+(RGG-RFF/A <I>cub.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5337 & contra. Exponatur enim vis qua corpus revolvatur in immota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5338 Ellip$i per quantitatem (FF/AA), & vis in <I>V</I> erit (FF/<I>CV quad.</I>). Vis au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5339 tem qua corpus in Circulo ad di$tantiam <I>CV</I> ea cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5340 revolvi po$$et quam corpus in Ellip$i revolvens habet in <I>V,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5341 e$t ad vim qua corpus in Ellip$i revolvens urgetur in Ap$ide <I>V,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5342 ut dimidium lateris recti Ellip$eos. ad Circuli $emidiametrum <I>CV,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5343 adeoque valet (RFF/<I>CV cub.</I>): & vis quæ $it ad hanc ut GG-FF ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5344 FF, valet (RGG-RFF/<I>CV cub.</I>): e$tque hæc vis (per hujus Corol. 1.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5345 differentia virium in <I>V</I> quibus corpus <I>P</I> in Ellipfi immota <I>VPK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5346 & corpus <I>p</I> in Ellip$i mobili <I>upk</I> revolvuntur. Unde cum (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5347 hanc Prop.) differentia illa in alia quavis altitudine A $it ad $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5348 ip$am in altitudine <I>CV</I> ut (1/A <I>cub.</I>) ad (1/<I>CV cub.</I>), eadem differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5349 in omni altitudine. A valebit (RGG-RFF/A <I>cub.</I>). Igitur ad vim (FF/AA)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5350 qua corpus revolvi pote$t in Ellip$i immobili <I>VPK,</I> addatur ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5351 ce$$us (RGG-RFF/A <I>cub.</I>) & componetur vis tota (FF/AA)+(RGG-RFF/A <I>cub.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5352 <pb n=125>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5353 qua corpus in Ellip$i mobili <I>upk</I> ii$dem temporibus revolvi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5354 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5355 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5356 po$$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5357 <p><I>Corol.</I> 3. Ad eundem modum colligetur quod, $i Orbis immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5358 bilis <I>VPK</I> Ellip$is $it centrum habens in virium centro <I>C</I>; ei-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5359 que $imilis, æqualis & concentrica ponatur Ellip$is mobilis <I>upk;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5360 $itque 2 R Ellip$eos hujus latus rectum principale, & 2T latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5361 tran$ver$um $ive axis major, atque angulus <I>VCp</I> $emper $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5362 angulum <I>VCP</I> ut G ad F; vires quibus corpora in Ellip$i im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5363 mobili & mobili temporibus æqualibus revolvi po$$unt, erunt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5364 (FFA/T <I>cub.</I>) & (FFA/T <I>cub.</I>)+(RGG-RFF/A <I>cub.</I>) re$pective.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5365 <p><I>Corol.</I> 4. Et univer$aliter, $i corporis altitudo maxima <I>CV</I> no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5366 minetur T, & radius curvaturæ quam Orbis <I>VPK</I> habet in <I>V,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5367 e$t radius Circuli æqualiter curvi, nominetur R, & vis centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5368 qua corpus in Trajectoria quacunque immobili <I>VPK</I> revolvi po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5369 te$t, in loco <I>V</I> dicatur (VFF/TT), atque aliis in locis <I>P</I> indefinite dica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5370 tur X, altitudine <I>CP</I> nominata A, & capiatur G ad F in data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5371 ratione anguli <I>VCp</I> ad angulum <I>VCP:</I> erit vis centripeta qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5372 corpus idem eo$dem motus in eadem Trajectoria <I>upk</I> circula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5373 riter mota temporibus ii$dem peragere pote$t, ut $umma virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5374 X+(VRGG-VRFF/A <I>cub.</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5375 <p><I>Corol.</I> 5. Dato igitur motu corporis in Orbe quocunque immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5376 bili, augeri vel minui pote$t ejus motus angularis circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5377 virium in ratione data, & inde inveniri novi Orbes immobiles in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5378 quibus corpora novis viribus centripetis gyrentur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5379 <p><I>Corol.</I> 6. Igitur $i ad rectam <I>CV</I> po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5380 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5381 $itione datam erigatur perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5382 <I>VP</I> longitudinis indeterminatæ, jun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5383 gaturque <I>CP,</I> & ip$i æqualis agatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5384 <I>Cp,</I> con$tituens angulum <I>VCp,</I> qui $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5385 ad angulum <I>VCP</I> in data ratione;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5386 vis qua corpus gyrari pote$t in Curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5387 illa <I>Vpk</I> quam punctum <I>p</I> perpetuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5388 tangit, erit reciproce ut cubus altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5389 dinis <I>Cp.</I> Nam corpus <I>P,</I> per vim inertiæ, nulla alia vi urgente,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5390 uniformiter progredi pote$t in recta <I>VP.</I> Addatur vis in centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5391 <I>C,</I> cubo altitudinis <I>CP</I> vel <I>Cp</I> reciproce proportionalis, & (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5392 jam demon$trata) detorquebitur motus ille rectilineus in lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5393 <pb n=126>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5394 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5395 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5396 curvam <I>Vpk.</I> E$t autem hæc Curva <I>Vpk</I> eadem cum Curva illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5397 <I>VPQ</I> in Corol. 3. Prop. XLI inventa, in qua ibi diximus corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5398 huju$modi viribus attracta oblique a$cendere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5399 <C>PROPOSITIO XLV. PROBLEMA XXXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5400 <C><I>Orbium qui $unt Circulis maxime $initimi requiruntur motus Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5401 $idum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5402 <p>Problema $olvitur Arithmetice faciendo ut Orbis, quem corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5403 in Ellip$i mobili (ut in Propo$itionis $uperioris Corol. 2, vel 3)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5404 revolvens de$cribit in plano immobili, accedat ad formam Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5405 cujus Ap$ides requiruatur, & quærendo Ap$ides Orbis quem cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5406 pus illud in plano immobili de$cribit. Orbes autem eandem ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5407 quirent formam, $i vires centripetæ quibus de$cribuntur, inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5408 collatæ, in æqualibus altitudinibus reddantur proportionales. Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5409 punctum <I>V</I> Ap$is $umma, & $cribantur T pro altitudine maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5410 <I>CV,</I> A pro altitudine quavis alia <I>CP</I> vel <I>Cp,</I> & X pro alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5411 titudinum differentia <I>CV-CP</I>; & vis qua corpus in Ellip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5412 circa umbilicum $uum <I>C</I> (ut in Corollario 2.) revolvente move-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5413 tur, quæque in Corollario 2. erat ut (FF/AA)+(RGG-RFF/A <I>cub.</I>), id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5414 ut (FFA+RGG-RFF/A <I>cub.</I>), $ub$tituendo T-X pro A, erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5415 (RGG-RFF+TFF-FFX/A <I>cub.</I>). Reducenda $imiliter e$t vis alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5416 quævis centripeta ad fractionem cujus denominator $it A <I>cub.,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5417 numeratores, facta homologorum terminorum collatione, $tatuendi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5418 $unt analogi. Res Exemplis patebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5419 <p><I>Exempl.</I> 1. Ponamus vim centripetam uniformem e$$e, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5420 ut (A <I>cub.</I>/A <I>cub.</I>), $ive ($cribendo T-X pro A in Numeratore) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5421 (T <I>cub.</I>-3TTX+3TXX-X <I>cub.</I>/A <I>cub.</I>); & collatis Numeratorum ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5422 minis corre$pondentibus, nimirum datis cum datis & non datis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5423 cum non datis, fiet RGG-RFF+TFF ad T <I>cub.</I> ut-FFX ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5424 -3TTX+3TXX-X<I>cub.</I> $ive ut-FF ad-3TT+3TX
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5425 -XX. Jam cum Orbis ponatur Circulo quam maxime finitimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5426 coeat Orbis cum Circulo; & ob factas R, T æquales, atque X in infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5427 <pb n=127>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5428 nitum diminutam, rationes ultimæ erunt RGG ad T <I>cub.</I> ut-FF
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5429 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5430 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5431 ad-3TT $eu GG ad TT ut FF ad 3TT & vici$$im GG ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5432 FF ut TT ad 3 TT id e$t, ut 1 ad 3; adeoque G ad F,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5433 hoc e$t angulus <I>VCp</I> ad angulum <I>VCP,</I> ut 1 ad √3. Er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5434 go cum corpus in Ellip$i immobili, ab Ap$ide $umma ad Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5435 $idem imam de$cendendo conficiat angulum <I>VCP</I> (ut ita di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5436 cam) gradum 180; corpus aliud in Ellip$i mobili, atque adeo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5437 Orbe immobili de quo agimus, ab Ap$ide $umma ad Ap$idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5438 imam de$cendendo conficiet angulum <I>VCp</I> gradum (180/√3): id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5439 adeo ob $imilitudinem Orbis hujus, quem corpus agente uniformi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5440 vi centripeta de$cribit, & Orbis illius quem corpus in Ellip$i re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5441 volvente gyros peragens de$cribit in plano quie$cente. Per $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5442 periorem terminorum collationem $imiles redduntur hi Orbes, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5443 univer$aliter, $ed tunc cum ad formam circularem quam maxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5444 appropinquant. Corpus igitur uniformi cum vi centripeta in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5445 Orbe propemodum circulari revolvens, inter Ap$idem $ummam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5446 & Ap$idem imam conficiet $emper angulum (180/√3) graduum, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5447 103 <I>gr.</I> 55 <I>m.</I> 23 <I>$ec.</I> ad centrum; perveniens ab Ap$ide $umma ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5448 Ap$idem imam ubi $emel confecit hunc angulum, & inde ad Ap$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5449 dem $ummam rediens ubi iterum confecit eundem angulum; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5450 $ic deinceps in infinitum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5451 <p><I>Exempl.</I> 2. Ponamus vim centripetam e$$e ut altitudinis A dig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5452 nitas quælibet A<SUP><I>n</I>-3</SUP> $eu (A<SUP><I>n</I></SUP>/A<SUP>3</SUP>): ubi <I>n</I>-3 & <I>n</I> $ignificant digni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5453 tatum indices quo$cunque integros vel fractos, rationales vel irratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5454 nales, affirmativos vel negativos. Numerator ille A<SUP><I>n</I></SUP> $eu &horbar;T-X<SUP><I>n</I></SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5455 in $eriem indeterminatam per Methodum no$tram Serierum conver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5456 gentium reducta, evadit T<SUP><I>n</I></SUP>-<I>n</I>XT<SUP><I>n</I>-1</SUP>+(<I>nn-n</I>/2)XXT<SUP><I>n</I>-2</SUP> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5457 Et collatis hujus terminis cum terminis Numeratoris alterius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5458 RGG-RFF+TFF-FFX, fit RGG-RFF+TFF ad T<SUP><I>n</I></SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5459 ut-FF ad-<I>n</I>T<SUP><I>n</I>-1</SUP>+(<I>nn-n</I>/2)XT<SUP><I>n</I>-2</SUP> &c. Et $umendo ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5460 nes ultimas ubi Orbes ad formam circularem accedunt, fit RGG
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5461 ad T<SUP><I>n</I></SUP> ut-FF ad-<I>n</I>T<SUP><I>n</I>-1</SUP>, $eu GG ad T<SUP><I>n</I>-1</SUP> ut FF ad <I>n</I>T<SUP><I>n</I>-1</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5462 & vici$$im GG ad FF ut T<SUP><I>n</I>-1</SUP> ad <I>n</I>T<SUP><I>n</I>-1</SUP> id e$t ut 1 ad <I>n</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5463 adeoque G ad F, id e$t angulus <I>VCp</I> ad angulum <I>VCP,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5464 <pb n=128>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5465 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5466 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5467 ut 1 ad √<I>n.</I> Quare cum angulus <I>VCP,</I> in de$cen$u corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5468 ab Ap$ide $umma ad Ap$idem imam in Ellip$i confectus, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5469 graduum 180; conficietur angulus <I>VCp,</I> in de$cen$u corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5470 ab Ap$ide $umma ad Ap$idem imam, in Orbe propemodum Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5471 culari quem corpus quodvis vi centripeta dignitati A<SUP><I>n</I>-3</SUP> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5472 portionali de$cribit, æqualis angulo graduum (180/√<I>n</I>); & hoc angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5473 repetito corpus redibit ab Ap$ide ima ad Ap$idem $ummam, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5474 $ic deinceps in infinitum. Ut $i vis centripeta $it ut di$tantia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5475 poris a centro, id e$t, ut A $eu (A<SUP>4</SUP>/A<SUP>3</SUP>), erit <I>n</I> æqualis 4 & √<I>n</I> æqualis 2;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5476 adeoque angulus inter Ap$idem $ummam & Ap$idem imam æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5477 qualis (180/2) <I>gr.</I> $eu 90 <I>gr.</I> Completa igitur quarta parte revolutio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5478 nis unius corpus perveniet ad Ap$idem imam, & completa alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5479 quarta parte ad Ap$idem $ummam, & $ic deinceps per vices in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5480 infinitum. Id quod etiam ex Propo$itione x. manife$tum e$t. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5481 corpus urgente hac vi centripeta revolvetur in Ellip$i immobili,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5482 cujus centrum e$t in centro virium. Quod $i vis centripeta $it reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5483 proce ut di$tantia, id e$t directe ut 1/A $eu (A<SUP>2</SUP>/A<SUP>3</SUP>), erit <I>n</I> æqualis 2, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5484 eoque inter Ap$idem $ummam & imam angulus erit graduum (180/√2)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5485 $eu 127 <I>gr.</I> 16 <I>m.</I> 45 <I>$ec.</I> & propterea corpus tali vi revolvens, perpe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5486 tua anguli hujus repetitione, vicibus alternis ab Ap$ide $umma ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5487 imam & ab ima ad $ummam perveniet in æternum. Porro $i vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5488 centripeta $it reciproce ut latus quadrato-quadratum undecimæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5489 dignitatis altitudinis, id e$t reciproce ut A (11/4), adeoque directe ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5490 (1/A<SUP>11/4</SUP>) $eu ut (A<SUP>1/4</SUP>/A<SUP>3</SUP>) erit <I>n</I> æqualis 1/4, & (180/√<I>n</I>) <I>gr.</I> æqualis 360 <I>gr.</I> & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5491 terea corpus de Ap$ide $umma di$cedens & $ubinde perpetuo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5492 $cendens, perveniet ad Ap$idem imam ubi complevit revolutionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5493 integram, dein perpetuo a$cen$u complendo aliam revolutionem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5494 regram, redibit ad Ap$idem $ummam: & $ic per vices in æternum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5495 <p><I>Exempl.</I> 3. A$$umentes <I>m</I> & <I>n</I> pro quibu$vis indicibus dignitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5496 Altitudinis, & <I>b, c</I> pro numeris quibu$vis datis, ponamus vim cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5497 tripetam e$$e ut (<I>b</I>A<SUP><I>m</I></SUP>+<I>c</I>A<SUP><I>n</I></SUP>/A <I>cub.</I>), id e$t, ut (<I>b</I> in &horbar;T-X<SUP><I>m</I></SUP>+<I>c</I> in &horbar;T-X<SUP><I>n</I></SUP>/A <I>cub.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5498 $eu (per eandem Methodum no$tram Serierum convergentium) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5499 (<I>b</I>T<SUP><I>m</I></SUP>+<I>c</I>T<SUP><I>n</I></SUP>-<I>mb</I>XT<SUP><I>m</I>-1</SUP>-<I>nc</I>XT<SUP><I>n</I>-1</SUP>+(<I>mm-mb</I>/2)XXT<SUP><I>m</I>-2</SUP>+(<I>nn-nc</I>/2)XXT<SUP><I>n</I>-2</SUP> <I>&c.</I>/A <I>cub.</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5500 <pb n=129>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5501 & collatis numeratorum terminis, fiet RGG-RFF+TFF
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5502 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5503 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5504 ad <I>b</I>T<SUP><I>m</I></SUP>+<I>c</I>T<SUP><I>n</I></SUP>, ut - FF ad - <I>mb</I>T<SUP><I>m</I>-1</SUP>-<I>nc</I>T<SUP><I>n</I>-1</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5505 +(<I>mm-m</I>/2)<I>b</I>XT<SUP><I>m</I>-2</SUP>+(<I>nn-n</I>/2)<I>c</I>XT<SUP><I>n</I>-2</SUP> &c. Et $umendo rationes ulti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5506 mas quæ prodeunt ubi Orbes ad formam circularem accedunt, fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5507 GG ad <I>b</I>T<SUP><I>m</I>-1</SUP>+<I>c</I>T<SUP><I>n</I>-1</SUP>, ut FF ad <I>mb</I>T<SUP><I>m</I>-1</SUP>+<I>nc</I>T<SUP><I>n</I>-1</SUP>, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5508 vici$$im GG ad FF ut <I>b</I>T<SUP><I>m</I>-1</SUP>+<I>c</I>T<SUP><I>n</I>-1</SUP> ad <I>mb</I>T<SUP><I>m</I>-1</SUP>+<I>nc</I>T<SUP><I>n</I>-1</SUP>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5509 Quæ proportio, exponendo altitudinem maximam <I>CV</I> $eu T Arith-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5510 metice per Unitatem, fit GG ad FF ut <I>b+c</I> ad <I>mb+nc,</I> adeoque ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5511 1 ad (<I>mb+nc/b+c</I>). Unde e$t G ad F, id e$t angulus <I>VCp</I> ad angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5512 <I>VCP,</I> ut 1 ad √(<I>mb+nc/b+c</I>). Et propterea cum angulus <I>VCP</I> inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5513 Ap$idem $ummam & Ap$idem imam in Ellip$i immobili $it 180 <I>gr.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5514 erit angulus <I>VCp</I> inter ea$dem Ap$ides, in Orbe quem corpus vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5515 centripeta quantitati (<I>b</I>A<SUP><I>m</I></SUP>+<I>c</I>A<SUP><I>n</I></SUP>/A <I>cub.</I>) proportionali de$cribit, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5516 lis angulo graduum 180 √(<I>b+c/mb+nc</I>). Et eodem argumento $i vis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5517 tripeta $it ut (<I>b</I>A<SUP><I>m</I></SUP>-<I>c</I>A<SUP><I>n</I></SUP>/A <I>cub.</I>), angulus inter Ap$ides invenietur graduum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5518 180 √(<I>b-c/mb-nc</I>). Nec $ecus re$olvetur Problema in ca$ibus diffi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5519 cilioribus. Quantitas cui vis centripeta proportionalis e$t, re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5520 $olvi $emper debet in Series convergentes denominatorem ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5521 bentes A <I>cub.</I> Dein pars data numeratoris qui ex illa operatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5522 provenit ad ip$ius partem alteram non datam, & pars data nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5523 meratoris hujus RGG-RFF+TFF-FFX ad ip$ius partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5524 alteram non datam in eadem ratione ponendæ $unt: Et quantitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5525 $uperfluas delendo, $cribendoque Unitatem pro T, obtinebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5526 proportio G ad F.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5527 <p><I>Corol.</I> 1. Hinc $i vis centripeta $it ut aliqua altitudinis digni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5528 tas, inveniri pote$t dignitas illa ex motu Ap$idum; & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5529 Nimirum $i motus totus angularis, quo corpus redit ad Ap$idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5530 eandem, $it ad motum angularem revolutionis unius, $eu graduum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5531 360, ut numerus aliquis <I>m</I> ad numerum alium <I>n,</I> & altitudo no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5532 minetur A: erit vis ut altitudinis dignitas illa A<SUP>(<I>nn/mm</I>)-3</SUP>, cujus In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5533 <pb n=130>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5534 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5535 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5536 dex e$t (<I>nn/mm</I>)-3. Id quod per Exempla $ecunda manife$tum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5537 Unde liquet vim illam in majore quam triplicata altitudinis ratione,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5538 in rece$$u a centro, decre$cere non po$$e: Corpus tali vi revolvens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5539 deque Ap$ide di$cedens, $i cæperit de$cendere nunquam perveniet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5540 ad Ap$idem imam $eu altitudinem minimam, $ed de$cendet u$que ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5541 centrum, de$cribens Curvam illam lineam de qua egimus in Cor. 3.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5542 Prop. XLI. Sin cæperit illud, de Ap$ide di$cedens, vel minimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5543 a$cendere; a$cendet in infinitum, neque unquam perveniet ad Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5544 $idem $ummam. De$cribet enim Curvam illam lineam de qua ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5545 tum e$t in eodem Corol. & in Corol. 6, Prop. XLIV. Sic & ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5546 vis, in rece$$u a centro, decre$cit in majore quam triplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5547 altitudinis, corpus de Ap$ide di$cedens, perinde ut cæperit de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5548 dere vel a$cendere, vel de$cendet ad centrum u$que vel a$cendet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5549 in infinitum. At $i vis, in rece$$u a centro, vel decre$cat in minore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5550 quam triplicata ratione altitudinis, vel crefcat in altitudinis ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5551 quacunque; corpus nunquam de$cendet ad centrum u$que, $ed ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5552 Ap$idem imam aliquando perveniet: & contra, $i corpus de Ap$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5553 de ad Ap$idem alternis vicibus de$cendens & a$cendens nunquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5554 appellat ad centrum; vis in rece$$u a centro aut augebitur, aut in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5555 minore quam triplicata altitudinis ratione decre$cet: & quo ci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5556 tius corpus de Ap$ide ad Ap$idem redierit, eo longius ratio virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5557 recedet a ratione illa triplicata. Ut $i corpus revolutionibus 8 vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5558 4 vel 2 vel 1 1/2 de Ap$ide $umma ad Ap$idem $ummam alterno de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5559 $cen$u & a$cen$u redierit; hoc e$t, $i fuerit <I>m</I> ad <I>n</I> ut 8 vel 4 vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5560 2 vel 1 1/2 ad 1, adeoque (<I>nn/mm</I>)-3 valeat (1/64)-3 vel (1/16) - 3 vel 1/4-3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5561 vel 4/9-3: erit vis ut A<SUP>(1/64)-3</SUP> vel A<SUP>(1/16)-3</SUP> vel A<SUP>1/4-3</SUP> vel A<SUP>4/9-3</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5562 id e$t, reciproce ut A<SUP>3-(1/64)</SUP> vel A<SUP>3-(1/16)</SUP> vel A<SUP>3-1/4</SUP> vel A<SUP>3-4/9</SUP>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5563 Si corpus $ingulis revolutionibus redierit ad Ap$idem eandem immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5564 tam; erit <I>m</I> ad <I>n</I> ut 1 ad 1, adeoque A (<I>nn/mm</I>)-3 æqualis A<SUP>-2</SUP> $eu (1/AA<*>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5565 & propterea decrementum virium in ratione duplicata altitudinis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5566 ut in præcedentibus demon$tratum e$t. Si corpus partibus revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5567 lutionis unius vel tribus quartis, vel duabus tertiis, vel una ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5568 tia, vel una quarta, ad Ap$idem eandem redierit; erit <I>m</I> ad <I>n</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5569 1/4 vel 2/3 vel 1/3 vel 1/4 ad 1, adeoque A(<I>nn/mm</I>)-3 æqualis A<SUP>(16/9)-3</SUP> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5570 A<SUP>9/4-3</SUP> vel A<SUP>9-3</SUP> vel A<SUP>16-3</SUP>; & propterea vis aut reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5571 <pb n=131>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5572 A<SUP>(11/9)</SUP> vel A<SUP>1/4</SUP>, aut directe ut A<SUP>6</SUP> vel A <SUP>13</SUP>. Denique $i corpus pergendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5573 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5574 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5575 ab Ap$ide $umma ad Ap$idem $ummam confecerit revolutionem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5576 tegram, & præterea gradus tres, adeoque Ap$is illa $ingulis corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5577 revolutionibus confecerit in con$equentia gradus tres; erit <I>m</I> ad <I>n</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5578 363 <I>gr.</I> ad 360<I>gr.</I> $ive ut 121 ad 120, adeoque A<SUP>(<I>nn/mm</I>)-3</SUP> erit æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5579 A<SUP>-(29523/14641)</SUP>; & propterea vis centripeta reciproce ut A <SUP>(29523/14641)</SUP> $eu re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5580 ciproce ut A<SUP>2 (4/2+3)</SUP> proxime. Decre$cit igitur vis centripeta in ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5581 ne paulo majore quam duplicata, $ed quæ vicibus 59 3/4 propius ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5582 duplicatam quam ad triplicatam accedit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5583 <p><I>Corol.</I> 2. Hinc etiam $i corpus, vi centripeta quæ $it reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5584 ut quadratum altitudinis, revolvatur in Ellip$i umbilicum haben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5585 te in centro virium, & huic vi centripetæ addatur vel auferatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5586 vis alia quævis extranea; cogno$ci pote$t (per Exempla tertia)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5587 motus Ap$idum qui ex vi illa extranea orietur: & contra. Ut $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5588 vis qua corpus revolvitur in Ellip$i $it ut (1/AA), & vis extranea ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5589 lata ut <I>c</I> A, adeoque vis reliqua ut (A-<I>c</I> A<SUP>4</SUP>/A <I>cub.</I>); erit (in Exemplis ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5590 tiis) <I>b</I> æqualis 1, <I>m</I> æqualis 1, <I>n</I> æqualis 4, adeoque angulus revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5591 lutionis inter Ap$ides æqualis angulo graduum 180 √(1-<I>c</I>/1-4<SUP><I>c</I></SUP>). Po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5592 natur vim illam extraneam e$$e 357,<SUP>45</SUP> partibus minorem quam vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5593 altera qua corpus revolvitur in Ellip$i, id e$t <I>c</I> e$$e (100/35745), exi$tente A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5594 vel T æquali 1; & 180 √(1-<I>c</I>/1-4<SUP><I>c</I></SUP>) evadet 180 √(35645/35345), $eu 180, 7623,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5595 id e$t, 180 <I>gr.</I> 45 <I>m.</I> 44 <I>$.</I> Igitur corpus de Ap$ide $umma di$ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5596 dens, motu angulari 180 <I>gr.</I> 45 <I>m.</I> 44. <I>$.</I> perveniet ad Ap$idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5597 imam, & hoc motu duplicato ad Ap$idem $ummam redibit: adeo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5598 que Ap$is $umma $ingulis revolutionibus progrediendo conficiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5599 1 <I>gr.</I> 31 <I>m.</I> 28 <I>$ec.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5600 <p>Hactenus de Motu corporum in Orbibus quorum plana per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5601 centrum Virium tran$eunt. Supere$t ut Motus etiam determine-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5602 mus in planis excentricis. Nam Scriptores qui Motum gravium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5603 tractant, con$iderare $olent a$cen$us & de$cen$us ponderum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5604 tam obliquos in planis quibu$cunque datis, quam perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5605 lares: & pari jure Motus corporum Viribus quibu$cunque cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5606 <pb n=132>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5607 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5608 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5609 tra petentium, & planis excentricis innitentium hic con$iderandus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5610 venit. Plana autem $upponimus e$$e politi$$ima & ab$olute lubrica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5611 ne corpora retardent. Quinimo, in his demon$trationibus, vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5612 ce planorum quibus corpora incumbunt quæque tangunt incum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5613 bendo, u$urpamus plana his parallela, in quibus centra corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5614 rum moventur & Orbitas movendo de$cribunt. Et eadem lege
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5615 Motus corporum in $uperficiebus Curvis peractos $ubinde de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5616 terminamus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5617 <C>SECTIO X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5618 <C><I>De Motu Corporum in Superficiebus datis, deque Funipendulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5619 Motu reciproco.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5620 <C>PROPOSITIO XLVI. PROBLEMA XXXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5621 <p><I>Po$ita cuju$cunque generis Vi centripeta, datoque tum Virium cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5622 tro tum Plano quocunque in quo corpus revolvitur, & conce$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5623 $is Figurarum curvilinearum quadraturis: requiritur Motus cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5624 poris de loco dato, data cum Velocitate, $ecundum rectam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5625 Plano illo datam egre$$i.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5626 <p>Sit <I>S</I> centrum Virium, <I>SC</I> di$tantia minima centri hujus a Plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5627 dato, <I>P</I> corpus de loco <I>P</I> $ecundum rectam <I>PZ</I> egrediens, <I>Q</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5628 corpus idem in Trajectoria $ua revolvens, & <I>PQR</I> Trajectoria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5629 illa, in Plano dato de$cripta, quam invenire oportet. Jungantur <I>CQ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5630 QS,</I> & $i in <I>QS</I> capiatur <I>SV</I> proportionalis vi centripetæ qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5631 corpus trahitur ver$us centrum <I>S,</I> & agatur <I>VT</I> quæ fit parallela
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5632 <I>CQ</I> & occurrat <I>SC</I> in <I>T:</I> Vis <I>SV</I> re$olvetur (per Legum Corol. 2.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5633 in vires <I>ST, TV;</I> quarum <I>ST</I> trahendo corpus $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5634 plano perpendicularem, nil mutat motum ejus in hoc plano. Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5635 autem altera <I>TV,</I> agendo $ecundum po$itionem plani, trahit cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5636 pus directe ver$us punctum <I>C</I> in plano datum, adeoque facit illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5637 in hoc plano perinde moveri ac $i vis <I>ST</I> tolleretur, & corpus vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5638 $ola <I>TV</I> revolveretur circa centrum <I>C</I> in $patio libero. Data autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5639 <pb n=133>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5640 vi centripeta <I>TV</I> qua corpus <I>Q</I> in $patio libero circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5641 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5642 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5643 datum <I>C</I> revolvitur, datur per Prop. XLII, tum Trajectoria <I>PQR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5644 quam corpus de$cribit, tum locus <I>Q</I> in quo corpus ad datum quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5645 vis tempus ver$abitur, tum denique velocitas corporis in loco illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5646 <I>Q</I>; & contra. <I>Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5647 <C>PROPOSITIO XLVII. THEOREMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5648 <p><I>Po$ito quod Vis centripeta proportionalis $it di$tantiæ corporis a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5649 centro; corpora omnia in planis quibu$cunque revolventia de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5650 $cribent Ellip$es, & revolutiones Temporibus æqualibus peragent;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5651 quæque moventur in lineis rectis, ultro citroque di$currendo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5652 $ingulas eundi & redeundi periodos ii$dem Temporibus ab$ol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5653 vent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5654 <p>Nam, $tantibus quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5655 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5656 in $uperiore Propo$itio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5657 ne, vis <I>SV</I> qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5658 <I>Q</I> in plano quovis <I>PQR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5659 revolvens trahitur ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5660 $us centrum <I>S</I> e$t ut di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5661 ftantia <I>SQ;</I> atque adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5662 ob proportionales <I>SV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5663 & <I>SQ, TV</I> & <I>CQ,</I> vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5664 <I>TV</I> qua corpus trahi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5665 tur ver$us punctum <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5666 in Orbis plano datum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5667 e$t ut di$tantia <I>CQ.</I> Vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5668 res igitur, quibus cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5669 pora in plano <I>PQR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5670 ver$antia trahuntur ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5671 $us punctum <I>C,</I> $unt pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5672 ratione di$tantiarum æquales viribus quibus corpora undiquaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5673 trahuntur ver$us centrum <I>S</I>; & propterea corpora movebuntur ii$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5674 dem Temporibus, in ii$dem Figuris, in plano quovis <I>PQR</I> circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5675 punctum <I>C,</I> atque in $patiis liberis circa centrum <I>S</I>; adeoque (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5676 Corol. 2. Prop. X, & Corol. 2. Prop. XXXVIII) Temporibus $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5677 <pb n=134>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5678 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5679 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5680 æqualibus, vel de$cribent Ellip$es in plano illo circa centrum <I>C,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5681 vel periodos movendi ultro citroque in lineis rectis per centrum <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5682 in plano illo ductis, complebunt. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5683 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5684 <p>His affines $unt a$cen$us ac de$cen$us corporum in $uperficiebus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5685 curvis. Concipe lineas curvas in plano de$cribi, dein circa axes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5686 quo$vis datos per centrum Virium tran$euntes revolvi, & ea revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5687 lutione $uperficies curvas de$cribere; tum corpora ita moveri ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5688 eorum centra in his $uperficiebus perpetuo reperiantur. Si cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5689 pora illa oblique a$cendendo & de$cendendo currant ultro citroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5690 peragentur corum motus in planis per axem tran$euntibus, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5691 adeo in lineis curvis quarum revolutione curvæ illæ $uperficies ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5692 nitæ $unt. I$tis igitur in ca$ibus $ufficit motum in his lineis cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5693 vis con$iderare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5694 <C>PROPOSITIO XLVIII. THEOREMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5695 <p><I>Si Rota Globo extrin$ecus ad angulos rectos in$i$tat, & more ro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5696 tarum revolvendo progrediatur in circulo maximo; longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5697 Itineris curvilinei, quod punctum quodvis in Rotæ perimetro da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5698 tum, ex quo Globum tetigit, confecit, (quodque Cycloidem vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5699 Epicycloidem nominare licet) erit ad duplicatum $inum ver$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5700 arcus dimidii qui Globum ex eo tempore inter eundum tetigit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5701 ut $umma diametrorum Globi & Rotæ ad $emidiametrum Globi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5702 <C>PROPOSITIO XLIX. THEOREMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5703 <p><I>Si Rota Globo concavo ad rectos angulos intrin$ecus in$i$tat & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5704 volvendo progrediatur in circulo maximo; longitudo Itineris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5705 curvilinei quod punctum quodvis in Rotæ perimetro datum, ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5706 quo Globum tetigit, confecit, erit ad duplicatum $inum ver$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5707 arcus dimidii qui Globum toto hoc tempore inter eundum teti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5708 git, ut differentia diametrorum Globi & Rotæ ad $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5709 trum Globi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5710 <pb n=135>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5711 <p>Sit <I>ABL</I> Globus, <I>C</I> centrum ejus, <I>BPV</I> Rota ei in$i$tens, <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5712 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5713 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5714 centrum Rotæ, <I>B</I> punctum contactus, & <I>P</I> punctum datum in pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5715 rimetro Rotæ. Concipe hanc Rotam pergere in circulo maximo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5716 <I>ABL</I> ab <I>A</I> per <I>B</I> ver$us <I>L,</I> & inter cundum ita revolvi ut ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5717 cus <I>AB, PB</I> $ibi invicem $emper æquentur, atque punctum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5718 <I>P</I> in perimetro Rotæ datum interea de$cribere Viam curvilineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5719 <I>AP.</I> Sit autem <I>AP</I> Via tota curvilinea de$cripta ex quo Rota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5720 Globum tetigit in <I>A,</I> & erit Viæ hujus longitudo <I>AP</I> ad duplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5721 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5722 $inum ver$um arcus 1/2 <I>PB,</I> ut 2 <I>CE</I> ad <I>CB.</I> Nam recta <I>CE</I> ($i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5723 opus e$t producta) occurrat Rotæ in <I>V,</I> junganturque <I>CP, BP,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5724 EP, VP,</I> & in <I>CP</I> productam demittatur normalis <I>VF.</I> Tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5725 gant <I>PH, VH</I> Circulum in <I>P</I> & <I>V</I> concurrentes in <I>H,</I> $ecetque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5726 <I>PH</I> ip$am <I>VF</I> in <I>G,</I> & ad <I>VP</I> demittantur normales <I>GI, HK.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5727 <pb n=136>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5728 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5729 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5730 Centro item <I>C</I> & intervallo quovis de$cribatur circulus <I>nom</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5731 cans rectam <I>CP</I> in <I>n,</I> Rotæ perimetrum <I>BP</I> &c. in <I>o,</I> & Viam curvi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5732 lineam <I>AP</I> in <I>m;</I> centroque <I>V</I> & intervallo <I>Vo</I> de$cribatur circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5733 lus $ecans <I>VP</I> productam in <I>q.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5734 <p>Quoniam Rota eundo $emper revolvitur circa punctum con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5735 tactus <I>B,</I> manife$tum e$t quod recta <I>BP</I> perpendicularis e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5736 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5737 lineam illam curvam <I>AP</I> quam Rotæ punctum <I>P</I> de$cribit, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5738 adeo quod recta <I>VP</I> tanget hanc curvam in puncto <I>P.</I> Circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5739 <I>nom</I> radius $en$im auctus vel diminutus æquetur tandem di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5740 <I>CP</I>; &, ob $imilitudinem Figuræ evane$centis <I>Pnomq</I> & Figuræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5741 <I>PFGVI,</I> ratio ultima lineolarum evane$centium <I>Pm, Pn, Po, Pq,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5742 <pb n=137>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5743 id e$t, ratio mutationum momentanearum curvæ <I>AP,</I> rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5744 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5745 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5746 <I>CP,</I> arcus circularis <I>BP,</I> ac rectæ <I>VP,</I> eadem erit quæ linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5747 rum <I>PV, PF, PG, PI</I> re$pective. Cum autem <I>VF</I> ad <I>CF</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5748 <I>VH</I> ad <I>CV</I> perpendiculares $unt, angulique <I>HVG, VCF</I> prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5749 terea æquales; & angulus <I>VHG</I> (ob angulos quadrilateri <I>HVEP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5750 ad <I>V</I> & <I>P</I> rectos) angulo <I>CEP</I> æqualis e$t, $imilia erunt tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5751 angula <I>VHG, CEP</I>; & inde fiet ut <I>EP</I> ad <I>CE</I> ita <I>HG</I> ad <I>HV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5752 $eu <I>HP</I> & ita <I>KI</I> ad <I>KP,</I> & compo$ite vel divi$im ut <I>CB</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5753 <I>CE</I> ita <I>PI</I> ad <I>PK,</I> & duplicatis con$equentibus ut <I>CB</I> ad 2 <I>CE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5754 ita <I>PI</I> ad <I>PV,</I> atque ita adeo <I>Pq</I> ad <I>Pm.</I> E$t igitur decremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5755 tum lineæ <I>VP,</I> id e$t, incrementum lineæ <I>BV-VP</I> ad incremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5756 tum lineæ curvæ <I>AP</I> in data ratione <I>CB</I> ad 2 <I>CE,</I> & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5757 terea (per Corol. Lem. IV.) longitudines <I>BV-VP</I> & <I>AP,</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5758 crementis illis genitæ, $unt in eadem ratione. Sed, exi$tente <I>BV</I> ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5759 dio, e$t <I>VP</I> co-$inus anguli <I>BVP</I> $eu 1/2 <I>BEP,</I> adeoque <I>BV-VP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5760 $inus ver$us eju$dem anguli; & propterea in hac Rota, cujus radius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5761 e$t 1/2 <I>BV,</I> erit <I>BV-VP</I> duplus $inus ver$us arcus 1/2 <I>BP.</I> Ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5762 <I>AP</I> e$t ad duplum $inum ver$um arcus 1/2 <I>BP</I> ut 2 <I>CE</I> ad <I>CB.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5763 Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5764 <p>Lineam autem <I>AP</I> in Propo$itione priore Cycloidem extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5765 Globum, alteram in po$teriore Cycloidem intra Globum di$tincti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5766 onis gratia nominabimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5767 <p><I>Corol.</I> 1. Hinc $i de$cribatur Cyclois integra <I>ASL</I> & bi$ecetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5768 ea in <I>S,</I> erit longitudo partis <I>PS</I> ad longitudinem <I>VP</I> (quæ du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5769 plus e$t $inus anguli <I>VBP,</I> exi$tente <I>EB</I> radio) ut 2 <I>CE</I> ad <I>CB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5770 atque adeo in ratione data.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5771 <p><I>Corol.</I> 2. Et longitudo $emiperimetri Cycloidis <I>AS</I> æquabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5772 lineæ rectæ quæ e$t ad Rotæ diametrum <I>BV,</I> ut 2 <I>CE</I> ad <I>CB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5773 <C>PROPOSITIO L. PROBLEMA XXXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5774 <C><I>Facere ut Corpus pendulum o$cilletur in Cycloide data.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5775 <p>Intra Globum <I>QVS,</I> centro <I>C</I> de$criptum, detur Cyclois <I>QRS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5776 bi$ecta in <I>R</I> & punctis $uis extremis <I>Q</I> & <I>S</I> $uperficiei Globi hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5777 inde occurrens. Agatur <I>CR</I> bi$ecans arcum <I>QS</I> in <I>O,</I> & produca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5778 tur ea ad <I>A,</I> ut $it <I>CA</I> ad <I>CO</I> ut <I>CO</I> ad <I>CR.</I> Centro <I>C</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5779 <pb n=138>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5780 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5781 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5782 tervallo <I>CA</I> de$eribatur Globus exterior <I>ABD,</I> & intra hunc Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5783 bum a Rota, cujus diameter $it <I>AO,</I> de$cribantur duæ Semicycloides
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5784 <I>AQ, AS,</I> quæ Globum interiorem tangant in <I>Q</I> & <I>S</I> & Globo ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5785 teriori occurrant in <I>A.</I> A puncto illo <I>A,</I> Filo <I>APT</I> longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5786 <I>AR</I> æquante, pendeat corpus <I>T,</I> & ita intra Semicycloides <I>AQ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5787 AS</I> o$cilletur, ut quoties pendulum digreditur a perpendiculo <I>AR,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5788 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5789 Filum parte $ui $uperiore <I>AP</I> applicetur ad Semicycloidem illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5790 <I>APS</I> ver$us quam peragitur motus, & circum eam ceu ob$tacu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5791 lum flectatur, parteque reliqua <I>PT</I> cui Semicyclois nondum obji-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5792 citur, protendatur in lineam rectam; & pondus <I>T</I> o$cillabitur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5793 Cycloide data <I>QRS. Q. E. F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5794 <p>Occurrat enim Filum <I>PT</I> tum Cycloidi <I>QRS</I> in <I>T,</I> tum circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5795 <I>QOS</I> in <I>V,</I> agaturque <I>CV;</I> & ad Fili partem rectam <I>PT,</I> e punctis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5796 extremis <I>P</I> ac <I>T,</I> erigantur perpendicula <I>PB, TW,</I> occurrentia re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5797 ctæ <I>CV</I> in <I>B</I> & <I>W.</I> Patet, ex con$tructione & gene$i $imilium Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5798 gurarum <I>AS, SR,</I> perpendicula illa <I>PB, TW</I> ab$cindere de <I>CV</I> lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5799 gitudines <I>VB, VW</I> Rotarum diametris <I>OA, OR</I> æquales. E$t igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5800 tur <I>TP</I> ad <I>VP</I> (duplum $inum anguli <I>VBP</I> exi$tente 1/2 <I>BV</I> ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5801 <pb n=139>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5802 dio) ut <I>BW</I> ad <I>BV,</I> $eu <I>AO+OR</I> ad <I>AO,</I> id e$t (cum $int <I>CA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5803 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5804 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5805 ad <I>CO, CO</I> ad <I>CR</I> & divi$im <I>AO</I> ad <I>OR</I> proportionales,) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5806 <I>CA+CO</I> ad <I>CA</I> vel, $i bi$ecetur <I>BV</I> in <I>E,</I> ut 2 <I>CE</I> ad <I>CB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5807 Proinde, per Corol. 1. Prop. XLIX, longitudo partis rectæ Fili <I>PT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5808 æquatur $emper Cycloidis arcui <I>PS,</I> & Filum totum <I>APT</I> æquatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5809 $emper Cycloidis arcui dimidio <I>APS,</I> hoc e$t (per Corol. 2. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5810 XLIX) longitudini <I>AR.</I> Et propterea vici$$im $i Filum manet $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5811 per æquale longitudini <I>AR</I> movebitur punctum <I>T</I> in Cycloide
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5812 data <I>QRS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5813 <p><I>Corol.</I> Filum <I>AR</I> æquatur Semicycloidi <I>AS,</I> adeoque ad $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5814 diametrum <I>AC</I> eandem habet rationem quam $imilis illi Semicy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5815 clois <I>SR</I> habet ad $emidiametrum <I>CO.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5816 <C>PROPOSITIO LI. THEOREMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5817 <p><I>Si Vis centripeta tendens undique ad Globi centrum</I> C <I>$it in locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5818 $ingulis ut di$tantia loci cuju$que a centro, & hac $ola Vi a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5819 gente corpus</I> T <I>o$cilletur (modo jam de$cripto) in perimetro Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5820 cloidis</I> QRS: <I>dico quod o$cillationum utcunque inæqualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5821 æqualia erunt Tempora.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5822 <p>Nam in Cycloidis tangentem <I>TW</I> infinite productam cadat per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5823 pendiculum <I>CX</I> & jungatur <I>CT.</I> Quoniam vis centripeta qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5824 pus <I>T</I> impellitur ver$us <I>C</I> e$t ut di$tantia <I>CT,</I> atque hæc (per Legum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5825 Corol. 2.) re$olvitur in partes <I>CX, TX,</I> quarum <I>CX</I> impellen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5826 do corpus directe a <I>P</I> di$tendit filum <I>PT</I> & per ejus re$i$tentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5827 tota ce$$at, nullum alium edens effectum; pars autem altera <I>TX,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5828 urgendo corpus tran$ver$im $eu ver$us <I>X,</I> directe accelerat motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5829 ejus in Cycloide; manife$tum e$t quod corporis acceleratio, huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5830 vi acceleratrici proportionalis, $it $ingulis momentis ut longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5831 <I>TX,</I> id e$t, (ob datas <I>CV, WV</I> ii$que proportionales <I>TX, TW,</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5832 ut longitudo <I>TW,</I> hoc e$t (per Corol. 1. Prop. XLIX,) ut longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5833 arcus Cycloidis <I>TR.</I> Pendulis igitur duobus <I>APT, Apt</I> de per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5834 pendiculo <I>AR</I> inæqualiter deductis & $imul dimi$$is, acceleratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5835 nes eorum $emper erunt ut arcus de$cribendi <I>TR, tR.</I> Sunt au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5836 tem partes $ub initio de$criptæ ut accelerationes, hoc e$t, ut totæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5837 $ub initio de$cribendæ, & propterea partes quæ manent de$criben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5838 <pb n=140>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5839 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5840 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5841 dæ & accelerationes $ub$equentes, his partibus proportionales, $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5842 etiam ut totæ; & $ic deinceps. Sunt igitur accelerationes atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5843 adeo velocitates genitæ & partes his velocitatibus de$criptæ par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5844 te$que de$cribendæ, $emper ut totæ; & propterea partes de$criben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5845 dæ datam $ervantes rationem ad invicem $imul evane$cent, id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5846 corpora duo o$cillantia $imul pervenient ad perpendiculum <I>AR.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5847 Cumque vici$$im a$cen$us perpendiculorum de loco in$imo <I>R,</I> per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5848 eo$dem arcus Cycloidales motu retrogrado facti, retardentur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5849 locis $ingulis a viribus ii$dem a quibus de$cen$us accelerabantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5850 patet velocitates a$cen$uum ac de$cen$uum per eo$dem arcus fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5851 ctorum æquales e$$e, atque adeo temporibus æqualibus fieri; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5852 propterea, cum Cycloidis partes duæ <I>RS</I> & <I>RQ</I> ad utrumque per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5853 pendiculi latus jacentes $int $imiles & æquales, pendula duo o$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5854 lationes $uas tam totas quam dimidias ii$dem temporibus $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5855 peragent. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5856 <p><I>Corol.</I> Vis qua corpus <I>T</I> in loco quovis <I>T</I> acceleratur vel retar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5857 tur in Cycloide, e$t ad totum corporis eju$dem Pondus in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5858 alti$$imo <I>S</I> vel <I>Q,</I> ut Cycloidis arcus <I>TR</I> ad eju$dem arcum <I>SR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5859 vel <I>QR.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5860 <C>PROPOSITIO LII. PROBLEMA XXXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5861 <p><I>Definire & Velocitates Pendulorum in locis $ingulis, & Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5862 quibus tum o$cillationes totæ, tum $ingulæ o$cillationum partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5863 peraguntur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5864 <p>Centro quovis <I>G,</I> intervallo <I>GH</I> Cycloidis arcum <I>RS</I> æquante,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5865 de$cribe $emicirculum <I>HKMG</I> $emidiametro <I>GK</I> bi$ectum. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5866 $i vis centripeta, di$tantiis locorum a centro proportionalis, tendat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5867 ad centrum <I>G,</I> $itque ea in perimetro <I>HIK</I> æqualis vi centripetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5868 in perimetro Globi <I>QOS (Vide Fig. Prop.</I> L.) ad ip$ius cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5869 trum tendenti; & eodem tempore quo pendulum <I>T</I> dimittitur e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5870 loco $upremo <I>S,</I> cadat corpus aliquod <I>L</I> ab <I>H</I> ad <I>G:</I> quoniam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5871 vires quibus corpora urgentur $unt æquales $ub initio & $patiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5872 de$cribendis <I>TR, LG</I> $emper proportionales, atque adeo, $i æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5873 quantur <I>TR</I> & <I>LG,</I> æquales in locis <I>T</I> & <I>L</I>; patet corpora illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5874 de$cribere $patia <I>ST, HL</I> æqualia $ub initio, adeoque $ubinde per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5875 gere æqualiter urgeri, & æqualia $patia de$cribere. Quare, per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5876 XXXVIII, tempus quo corpus de$cribit arcum <I>ST</I> e$t ad tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5877 <pb n=141>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5878 o$cillationis unius, ut arcus <I>HI</I> (tempus quo corpus <I>H</I> perveniet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5879 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5880 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5881 ad <I>L</I>) ad $emiperipheriam <I>HKM</I> (tempus quo corpus <I>H</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5882 veniet ad <I>M.</I>) Et velocitas corporis penduli in loco <I>T</I> e$t ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5883 loc tatem ipfius in loco infimo <I>R,</I> (hoc e$t, velocitas corporis <I>H</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5884 loco <I>L</I> ad velocitatem ejus in loco <I>G,</I> $eu incrementum momenta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5885 neum lineæ <I>HL</I> ad incrementum momentaneum lineæ <I>HG,</I> arcu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5886 bus <I>HI, HK</I> æquabili fluxu cre$centibus) ut ordinatim applicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5887 <I>LI</I> ad radium <I>GK,</I> $ive ut √<I>SRq.-TRq.</I> ad <I>SR.</I> Unde cum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5888 in o$cillationibus inæqualibus, de$cribantur æqualibus temporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5889 arcus totis o$cillationum arcubus proportionales; habentur, ex da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5890 tis temporibus, & velocitates & arcus de$cripti in o$cillationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5891 univer$is. Quæ erant primo invenienda.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5892 <p>O$cillentur jam Funipendula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5893 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5894 corpora in Cycloidibus diver$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5895 intra Globos diver$os, quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5896 diver$æ $unt etiam Vires ab$olu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5897 tæ, de$criptis: &, $i Vis ab$olu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5898 ta Globi cuju$vis <I>QOS</I> dicatur V,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5899 Vis acceleratrix qua Pendul&utilde; urge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5900 tur in circumferentia hujus Globi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5901 ubi incipit directe ver$us centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5902 ejus moveri, erit ut di$tantia Cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5903 poris penduli a centro illo & Vis ab$oluta Globi conjunctim, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5904 e$t, ut <I>CO</I>XV. Itaque lineola <I>HY,</I> quæ $it ut hæc Vis accelera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5905 trix <I>CO</I>XV, de$cribetur dato tempore; &, $i erigatur normalis <I>YZ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5906 circumferentiæ occurrens in <I>Z,</I> arcus na$cens <I>HZ</I> denotabit datum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5907 illud tempus. E$t autem arcus hic na$cens <I>HZ</I> in $ubduplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5908 tione rectanguli <I>GHY,</I> adeoque ut √<I>GHXCO</I>XV. Unde Tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5909 pus o$cillationis integræ in Cycloide <I>QRS</I> (cum $it ut $emiperi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5910 pheria <I>HKM,</I> quæ o$cillationem illam integram denotat, directe,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5911 utque arcus <I>HZ,</I> qui datum tempus $imiliter denotat, inver$e) fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5912 ut <I>GH</I> directe & √<I>GHXCO</I>XV inver$e, hoc e$t, ob æquales <I>GH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5913 & <I>SR,</I> ut √(<I>SR/CO</I>XV), $ive (per Corol. Prop. L) ut √(<I>AR/AC</I>XV).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5914 Itaque O$cillationes in Globis & Cycloidibus omnibus, quibu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5915 cunque cum Viribus ab$olutis factæ, $unt in ratione quæ compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5916 nitur ex $ubduplicata ratione longitudinis Fili directe, & $ubdu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5917 plicata ratione di$tantiæ inter punctum $u$pen$ionis & centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5918 <pb n=142>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5919 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5920 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5921 Globi inver$e, & $ubduplicata ratione Vis ab$olutæ Globi etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5922 inver$e. <I>Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5923 <p><I>Corol.</I> 1. Hinc etiam O$cillantium, Cadentium & Revolventium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5924 corporum tempora po$$unt inter $e conferri. Nam $i Rotæ, qua Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5925 clois intra globum de$cribitur, diameter con$tituatur æqualis $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5926 diametro globi, Cyclois evadet Linea recta per centrum globi tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5927 $iens, & O$cillatio jam erit de$cen$us & $ub$equens a$cen$us in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5928 recta. Unde datur tum tempus de$cen$us de loco quovis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5929 centrum, tum tempus huic æquale quo corpus uniformiter cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5930 ca centrum globi ad di$tantiam quamvis revolvendo arcum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5931 drantalem de$cribit. E$t enim hoc tempus (per Ca$um $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5932 dum) ad tempus $emio$cillationis in Cycloide quavis <I>QRS</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5933 1 ad √(<I>AR/AC</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5934 <p><I>Corol.</I> 2. Hinc etiam con$ectantur quæ <I>Wrennus</I> & <I>Hugenius</I> de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5935 Cycloide vulgari adinvenerunt. Nam $i Globi diameter augeatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5936 in infinitum: mutabitur ejus $uperficies $phærica in planum, Vi$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5937 centripeta aget uniformiter $ecundum lineas huic plano perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5938 culares, & Cyclois no$tra abibit in Cycloidem vulgi. I$to autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5939 in ca$u longitudo arcus Cycloidis, inter planum illud & punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5940 de$cribens, æqualis evadet quadruplicato $inui ver$o dimidii arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5941 Rotæ inter idem planum & punctum de$cribens; ut invenit <I>Wren-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5942 nus:</I> Et Pendulum inter duas eju$modi Cycloides in $imili & æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5943 quali Cycloide temporibus æqualibus O$cillabitur, ut demon$travit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5944 <I>Hugenius.</I> Sed & De$cen$us gravium, tempore O$cillationis unius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5945 is erit quem <I>Hugenius</I> indicavit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5946 <p>Aptantur autem Propo$itiones a nobis demon$tratæ ad veram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5947 con$titutionem Terræ, quatenus Rotæ eundo in ejus circulis maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5948 mis de$cribunt motu Clavorum, perimetris $uis infixorum, Cycloi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5949 des extra globum; & Pendula inferius in fodinis & cavernis Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5950 $u$pen$a, in Cycloidibus intra globos O$cillari debent, ut O$cilla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5951 tiones omnes evadant I$ochronæ. Nam Gravitas (ut in Libro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5952 tertio docebitur) decre$cit in progre$$u a $uperficie Terræ, $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5953 $um quidem in duplicata ratione di$tantiarum a centro ejus, de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5954 or$um vero in ratione $implici.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5955 <pb n=143>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5956 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5957 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5958 <C>PROPOSITIO LIII. PROBLEMA XXXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5959 <p><I>Conce$$is Figurarum curvilinearum quadraturis, invenire Vires qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5960 bus corpora in datis curvis lineis O$cillationes $emper I$ochro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5961 nas peragent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5962 <p>O$cilletur corpus <I>T</I> in curva quavis linea <I>STRQ,</I> cujus axis $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5963 <I>OR</I> tran$iens per virium centrum <I>C.</I> Agatur <I>TX</I> quæ curvam il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5964 lam in corporis loco quovis <I>T</I> contingat, inque hac tangente <I>TX</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5965 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5966 capiatur <I>TY</I> æqualis arcui <I>TR.</I> Nam longitudo arcus illius ex Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5967 gurarum quadraturis (per Methodos vulgares) innote$cit. De pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5968 cto <I>Y</I> educatur recta <I>YZ</I> tangenti perpendicularis. Agatur <I>CT</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5969 pendiculari illi occurrens in <I>Z,</I> & erit Vis centripeta proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5970 lis rectæ <I>TZ. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5971 <pb n=144>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5972 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5973 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5974 <p>Nam $i vis, qua corpus trahitur de <I>T</I> ver$us <I>C,</I> exponatur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5975 rectam <I>TZ</I> captam ip$i proportionalem, re$olvetur hæc in vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5976 <I>TY, YZ</I>; quarum <I>YZ</I> trahendo corpus $ecundum longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5977 Fili <I>PT,</I> motum ejus nil mutat, vis autem altera <I>TY</I> motum ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5978 in curva <I>STRQ</I> directe accelerat vel directe retardat. Proinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5979 cum hæc $it ut via de$cribenda <I>TR,</I> accelerationes corporis vel re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5980 tardationes in O$cillationum duarum (majoris & minoris) parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5981 bus proportionalibus de$cribendis, erunt $emper ut partes illæ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5982 propterea facient ut partes illæ $imul de$cribantur. Corpora autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5983 quæ partes totis $emper proportionales $imul de$cribunt, $imul de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5984 $cribent totas. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5985 <p><I>Corol.</I> 1. Hinc $i corpus <I>T</I> Filo rectilineo <I>AT</I> a centro <I>A</I> pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5986 dens, de$cribat arcum circularem <I>STRQ,</I> & interea urgeatur $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5987 cundum lineas parallelas deor$um a vi aliqua, quæ $it ad vim uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5988 formem Gravitatis, ut arcus <I>TR</I> ad ejus $inum <I>TN:</I> æqualia e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5989 runt O$cillationum $ingularum tempora. Etenim ob parallelas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5990 <I>TZ, AR,</I> $imilia erunt triangula <I>ATN, ZTY</I>; & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5991 <I>TZ</I> erit ad <I>AT</I> ut <I>TY</I> ad <I>TN</I>; hoc e$t, ($i Gravitatis vis unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5992 mis exponatur per longitudinem datam <I>AT</I>) vis <I>TZ,</I> qua O$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5993 lationes evadent I$ochronæ, erit ad vim Gravitatis <I>AT,</I> ut arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5994 <I>TR</I> ip$i <I>TY</I> æqualis ad arcus illius $inum <I>TN.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5995 <p><I>Corol.</I> 2. Igitur in Horologiis, $i vires a Machina in Pendulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5996 ad motum con$ervandum impre$$æ ita cum vi Gravitatis componi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5997 po$$int, ut vis tota deor$um $emper $it ut linea quæ oritur appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5998 cando rectangulum $ub arcu <I>TR</I> & radio <I>AR</I> ad $inum <I>TN,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	5999 O$cillationes omnes erunt I$ochronæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6000 <C>PROPOSITIO LIV. PROBLEMA XXXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6001 <p><I>Conce$$is Figurarum curvilinearum quadraturis, invenire Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6002 quibus corpora Vi qualibet centripeta in lineis quibu$cunque cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6003 vis, in plano per centrum Virium tran$eunte de$criptis, de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6004 dent & a$cendent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6005 <p>De$cendat corpus de loco quovis <I>S</I> per lineam quamvis curvam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6006 <I>STtR,</I> in plano per virium centrum <I>C</I> tran$eunte datam. Junga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6007 tur <I>CS</I> & dividatur eadem in partes innumeras æquales, $itque <I>Dd</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6008 <pb n=145>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6009 partium illarum aliqua. Centro <I>C,</I> intervallis <I>CD, Cd</I> de$criban-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6010 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6011 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6012 tur circuli <I>DT, dt,</I> lineæ curvæ <I>STtR</I> occurrentes in <I>T</I> & <I>t.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6013 ex data tum lege vis centripetæ, tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6014 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6015 altitudine <I>CS</I> de qua corpus cecidit;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6016 dabitur velocitas corporis in alia qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6017 vis altitudine <I>CT,</I> per Prop. XXXIX.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6018 Tempus autem, quo corpus de$cribit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6019 lineolam <I>Tt,</I> e$t ut lineolæ hujus lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6020 gitudo (id e$t ut $ecans anguli <I>tTC</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6021 directe, & velocitas inver$e. Tempori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6022 huic proportionalis $it ordinatim appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6023 cata <I>DN</I> ad rectam <I>CS</I> per punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6024 <I>D</I> perpendicularis, & ob datam <I>Dd</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6025 erit rectangulum <I>DdXDN,</I> hoc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6026 area <I>DNnd,</I> eidem tempori propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6027 tionale. Ergo $i <I>SNn</I> $it curva illa li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6028 nea quam punctum <I>N</I> perpetuo tangit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6029 erit area <I>SNDS</I> proportionalis tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6030 pori quo corpus de$cendendo de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6031 $it lineam <I>ST</I>; proindeque ex inventa illa area dabitur Tempus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6032 <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6033 <C>PROPOSITIO LV. THEOREMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6034 <p><I>Si corpus movetur in $uperficie quacunque curva, cujus axis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6035 centrum Virium tran$it, & a corpore in axem demittatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6036 pendicularis, eique parallela & æqualis ab axis puncto quovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6037 dato ducatur: dico quod parallela illa aream tempori proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6038 nalem de$cribet.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6039 <p>Sit <I>BSKL</I> $uperficies curva, <I>T</I> corpus in ea revolvens, <I>STtR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6040 Trajectoria quam corpus in eadem de$cribit, <I>S</I> initium Trajecto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6041 riæ, <I>OMNK</I> axis $uperficiei curvæ, <I>TN</I> recta a corpore in axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6042 perpendicularis, <I>OP</I> huic parallela & æqualis a puncto <I>O</I> quod in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6043 axe datur educta, <I>AP</I> ve$tigium Trajectoriæ a puncto <I>P</I> in lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6044 volubilis <I>OP</I> plano <I>AOP</I> de$criptum, <I>A</I> ve$tigii initium puncto <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6045 re$pondens, <I>TC</I> recta a corpore ad centrum ducta; <I>TG</I> pars ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6046 vi centripetæ qua corpus urgetur in centrum <I>C</I> proportionalis;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6047 <I>TM</I> recta ad $uperficiem cutvam perpendicularis, <I>TI</I> pars ejus vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6048 pre$$ionis, qua corpus urget $uperficiem vici$$imque urgetur ver$us <I>M</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6049 <pb n=146>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6050 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6051 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6052 a $uperficie, proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6053 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6054 lis; <I>PHTF</I> recta axi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6055 parallela per corpus tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6056 $iens, & <I>GF, IH</I> rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6057 a punctis <I>G</I> & <I>I</I> in pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6058 rallelam illam <I>PHTF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6059 perpendiculariter demi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6060 $æ. Dico jam quod area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6061 <I>AOP,</I> radio <I>OP</I> ab ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6062 tio motus de$cripta, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6063 tempori proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6064 Nam vis <I>TG</I> (per Le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6065 gum Corol. 2.) re$olvitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6066 in vires <I>TF, FG</I>; & vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6067 <I>TI</I> in vires <I>TH, HI:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6068 Vires autem <I>TF, TH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6069 agendo $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6070 <I>PF</I> plano <I>AOP</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6071 pendicularem mutant $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6072 lummodo motum cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6073 poris quatenus huic plano perpendicularem. Ideoque motus ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6074 quatenus $ecundum po$itionem plani factus, hoc e$t, motus pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6075 cti <I>P</I> quo Trajectoriæ ve$tigium <I>AP</I> in hoc plano de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6076 bitur, idem e$t ac $i vires <I>TF, TH</I> tollerentur, & corpus $olis vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6077 ribus <I>FG, HI</I> agitaretur; hoc e$t, idem ac $i corpus in plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6078 <I>AOP,</I> vi centripeta ad centrum <I>O</I> tendente & $ummam virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6079 <I>FG</I> & <I>HI</I> æquante, de$criberet curvam <I>AP.</I> Sed vi tali de$cribi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6080 tur area <I>AOP</I> (per Prop. 1.) tempori proportionalis. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6081 <p><I>Corol.</I> Eodem argumento $i corpus a viribus agitatum ad centra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6082 duo vel plura in eadem quavis recta <I>CO</I> data tendentibus, de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6083 beret in $patio libero lineam quamcunque curvam <I>ST</I>; foret area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6084 <I>AOP</I> tempori $emper proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6085 <C>PROPOSITIO LVI. PROBLEMA XXXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6086 <p><I>Conce$$is Figurarum curvilinearum quadraturis, dati$que tum lege
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6087 Vis centripetæ ad centrum datum tendentis, tum $uperficie cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6088 va cujus axis per centrum illud træn$it; invenieuda est Traje-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6089 ctoria quam corpus in eadem $uperficie de$cribet, de loco dato, data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6090 cum Velocitate, ver$us plagam in $uperficie illa datam egre$$um.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6091 <pb n=147>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6092 <p>Stantibus quæ in $uperiore Propo$itione con$tructa $unt, exeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6093 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6094 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6095 corpus de loco <I>S</I> in Trajectoriam inveniendam <I>STtR</I>; &, ex da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6096 ta ejus velocitate in altitudine <I>SC,</I> dabitur ejus velocitas in alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6097 quavis altitudine <I>TC.</I> Ea cum velocitate, dato tempore quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6098 minimo, de$cribat corpus Trajectoriæ $uæ particulam <I>Tt,</I> $itque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6099 <I>Pp</I> ve$tigium ejus in plano <I>AOP</I> de$criptum. Jungatur <I>Op,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6100 Circelli centro <I>T</I> intervallo <I>Tt</I> in $uperficie curva de$cripti $it <I>PpQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6101 ve$tigium Ellipticum in eodem plano <I>OAPp</I> de$criptum. Et ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6102 datum magnitudine & po$itione Circellum, dabitur Ellip$is illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6103 <I>PpQ.</I> Cumque area <I>POp</I> $it tempori proportionalis, atque ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6104 eo ex dato tempore detur, dabitur <I>Op</I> po$itione, & inde dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6105 communis ejus & Ellip$eos inter$ectio <I>p,</I> una cum angulo <I>OPp,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6106 in quo Trajectoriæ ve$tigium <I>APp</I> $ecat lineam <I>OP.</I> Inde au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6107 tem invenietur Trajectoriæ ve$tigium illud <I>APp,</I> eadem methodo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6108 qua curva linea <I>VIKk,</I> in Propo$itione XLI, ex $imilibus datis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6109 inventa fuit. Tum ex $ingulis ve$tigii punctis <I>P</I> erigendo ad pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6110 num <I>AOP</I> perpendicula <I>PT</I> $uperficiei curvæ occurrentia in <I>T,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6111 dabuntur $ingula Trajectoriæ puncta <I>T. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6112 <C>SECTIO XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6113 <C><I>De Motu Corporum Viribus centripetis $e mutuo petentium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6114 <p>Hactenus expo$ui Motus corporum attractorum ad centrum Im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6115 mobile, quale tamen vix extat in rerum natura. Attractiones enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6116 fieri $olent ad corpora; & corporum trahentium & attractorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6117 actiones $emper mutuæ $unt & æquales, per Legem tertiam: ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6118 eo ut neque attrahens po$$it quie$cere neque attractum, $i duo $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6119 corpora, $ed ambo (per Legum Corollarium quartum) qua$i at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6120 tractione mutua, circum gravitatis centrum commune revolvantur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6121 & $i plura $int corpora (quæ vel ab unico attrahantur vel omnia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6122 $e mutuo attrahant) hæc ita inter $e moveri debeant, ut gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6123 centrum commune vel quie$cat vel uniformiter moveatur in direc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6124 tum. Qua de cau$a jam pergo Motum exponere corporum $e mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6125 tuo trahentium, con$iderando Vires centripetas tanquam Attractio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6126 nes, quamvis forta$$e, $i phy$ice loquamur, verius dicantur Im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6127 pul$us. In Mathematicis enim jam ver$amur, & propterea mi$$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6128 di$putationibus Phy$icis, familiari utimur $ermone, quo po$$imus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6129 a Lectoribus Mathematicis facilius intelligi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6130 <pb n=148>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6131 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6132 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6133 <C>PROPOSITIO LVII. THEOREMA XX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6134 <C><I>Corpora duo $e invicem trahentia de$cribunt, & circum commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6135 centrum gravitatis, & circum $e mutuo, Figuras $imiles.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6136 <p>Sunt enim di$tantiæ a communi gravitatis centro reciproce pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6137 portionales corporibus, atque adeo in data ratione ad invicem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6138 componendo, in data ratione ad di$tantiam totam inter corpora.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6139 Feruntur autem hæ di$tantiæ circum terminos $uos communi motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6140 angulari, propterea quod in directum $emper jacentes non mutant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6141 inclinationem ad $e mutuo. Lineæ autem rectæ, quæ $unt in data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6142 ratione ad invicem, & æquali motu angulari circum terminos $uos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6143 feruntur, Figuras circum eo$dem terminos (in planis quæ una cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6144 his terminis vel quie$cunt vel motu quovis non angulari moven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6145 tur) de$cribunt omnino $imiles. Proinde $imiles $unt Figuræ quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6146 his di$tantiis circumactis de$cribuntur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6147 <C>PROPOSITIO LVIII. THEOREMA XXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6148 <p><I>Si corpora duo Viribus quibu$vis $e mutuo trahunt, & interea re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6149 volvuntur circa gravitatis centrum commune: dico quod Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6150 guris, quas corpora $ic mota de$cribunt circum $e mutuo, potest
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6151 Figura $imilis & æqualis, circum corpus alterutrum immotum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6152 Viribus ii$dem de$eribi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6153 <p>Revolvantur corpora <I>S, P</I> circa commune gravitatis centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6154 <I>C,</I> pergendo de <I>S</I> ad <I>T</I> deque <I>P</I> ad <I>Q.</I> A dato puncto <I>s</I> ip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6155 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6156 <I>SP, TQ</I> æquales & parallelæ ducantur $emper <I>sp, sq</I>; & Curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6157 <I>pqv</I> quam punctum <I>p,</I> revolvendo circum punctum immotum <I>s,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6158 <pb n=149>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6159 de$cribit, erit $imilis & æqualis Curvis quas corpora <I>S, P</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6160 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6161 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6162 bunt circum $e mutuo: proindeque (per Theor. XX) $imilis Curvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6163 <I>ST</I> & <I>PQV,</I> quas eadem corpora de$cribunt circum commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6164 gravitatis centrum <I>C:</I> id adeo quia proportiones linearum <I>SC, CP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6165 & <I>SP</I> vel. <I>sp</I> ad invicem dantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6166 <p><I>Cas.</I> 1. Commune illud gravitatis centrum <I>C,</I> per Legum Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6167 rollarium quartum, vel quie$cit vel movetur uniformiter in direc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6168 tum. Ponamus primo quod id quie$cit, inque <I>s</I> & <I>p</I> locentur cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6169 pora duo, immobile in <I>s,</I> mobile in <I>p,</I> corporibus <I>S</I> & <I>P</I> $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6170 & æqualia. Dein tangant rectæ <I>PR</I> & <I>pr</I> Curvas <I>PQ</I> & <I>pq</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6171 <I>P</I> & <I>p,</I> & producantur <I>CQ</I> & <I>sq</I> ad <I>R</I> & <I>r.</I> Et, ob $imilitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6172 nem Figurarum <I>CPRQ, sprq,</I> erit <I>RQ</I> ad <I>rq</I> ut <I>CP</I> ad <I>sp,</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6173 eoque in data ratione. Proinde $i vis qua corpus <I>P</I> ver$us cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6174 pus <I>S,</I> atque adeo ver$us centrum intermedium <I>C</I> attrahitur, e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6175 ad vim qua corpus <I>p</I> ver$us centrum <I>s</I> attrahitur in eadem illa ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6176 tione data; hæ vires æqualibus temporibus attraherent $emper cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6177 pora de tangentibus <I>PR, pr</I> ad arcus <I>PQ, pq,</I> per intervalla ip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6178 proportionalia <I>RQ, rq;</I> adeoque vis po$terior efficeret ut corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6179 <I>p</I> gyraretur in Curva <I>pqv,</I> quæ $imilis e$$et Curvæ <I>PQV,</I> in qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6180 vis prior efficit ut corpus <I>P</I> gyretur, & revolutiones ii$dem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6181 poribus complerentur. At quoniam vires illæ non $unt ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6182 cem in ratione <I>CP</I> ad <I>sp,</I> $ed (ob $imilitudinem & æqualitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6183 corporum <I>S</I> & <I>s, P</I> & <I>p,</I> æqualitatem di$tantiarum <I>SP, sp</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6184 $ibi mutuo æquales; corpora æqualibus temporibus æqualiter tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6185 hentur de tangentibus: & propterea, ut corpus po$terius <I>p</I> trahatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6186 per intervallum majus <I>rq,</I> requiritur tempus majus, idque in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6187 duplicata ratione intervallorum; propterea quod (per Lemma de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6188 cimum) $patia, ip$o motus initio de$cripta, $unt in duplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6189 temporum. Ponatur igitur velocitas corporis <I>p</I> e$$e ad velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6190 tem corporis <I>P</I> in $ubduplicata ratione di$tantiæ <I>sp</I> ad di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6191 <I>CP,</I> eo ut temporibus quæ $int in eadem $ubduplicata ratione de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6192 $cribantur arcus <I>pq, PQ,</I> qui $unt in ratione integra: Et corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6193 <I>P, p</I> viribus æqualibus $emper attracta de$cribent circum centra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6194 quie$centia <I>C</I> & <I>s</I> Figuras $imiles <I>PQV, pqv,</I> quarum po$terior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6195 <I>pqv</I> $imilis e$t & æqualis Figuræ quam corpus <I>P</I> circum corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6196 mobile <I>S</I> de$cribit. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6197 <p><I>Cas.</I> 2. Ponamus jam quod commune gravitatis centrum, una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6198 cum $patio in quo corpora moventur inter $e, progreditur unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6199 miter in directum; &, per Legum Corollarium $extum, motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6200 omnes in hoc $patio peragentur ut prius, adeoque corpora de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6201 <pb n=150>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6202 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6203 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6204 bent circum $e mutuo Figuras ea$dem ac prius, & propterea Figuræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6205 <I>pqv</I> $imiles & æquales. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6206 <p><I>Corol.</I> 1. Hinc corpora duo Viribus di$tantiæ $uæ proportionali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6207 bus $e mutuo trahentia, de$cribunt (per Prop. X,) & circum com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6208 mune gravitatis centrum, & circum $e mutuo, Ellip$es concentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6209 cas: & vice ver$a, $i tales Figuræ de$cribuntur, $unt Vires di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6210 tiæ proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6211 <p><I>Corol.</I> 2. Et corpora duo Viribus quadrato di$tantiæ $uæ recipro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6212 ce proportionalibus de$cribunt (per Prop. XI, XII, XIII) & circum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6213 commune gravitatis centrum, & circum $e mutuo, Sectiones conicas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6214 umbilicum habentes in centro circum quod Figuræ de$cribuntur. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6215 vice ver$a, $i tales Figuræ de$cribuntur, Vires centripetæ $unt qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6216 drato di$tantiæ reciproce proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6217 <p><I>Corol.</I> 3. Corpora duo quævis cirum gravitatis centrum com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6218 mune gyrantia, radiis & ad centrum illud & ad $e mutuo ductis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6219 de$cribunt areas temporibus proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6220 <C>PROPOSITIO LIX. THEOREMA XXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6221 <p><I>Corporum duorum</I> S <I>&</I> P <I>circa commune gravitatis centrum</I> C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6222 <I>revolventium Tempus periodicum e$$e ad Tempus periodicum cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6223 poris alterutrius</I> P, <I>circa alterum immotum</I> S <I>gyrantis & Figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6224 ris quæ corpora circum $e mutuo de$cribunt Figuram $imilem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6225 æqualem de$cribentis, in $ubduplicata ratione corporis alterins</I> S,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6226 <I>ad $ummam corporum</I> S+P.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6227 <p>Namque, ex demon$tratione $uperioris Propo$itionis, tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6228 quibus arcus quivis $imiles <I>PQ</I> & <I>pq</I> de$cribuntur, $unt in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6229 duplicata ratione di$tantiarum <I>CP</I> & <I>SP</I> vel <I>sp,</I> hoc e$t, in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6230 duplicata ratione corporis <I>S</I> ad $ummam corporum <I>S+P.</I> Et com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6231 ponendo, $ummæ temporum quibus arcus omnes $imiles <I>PQ</I> & <I>pq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6232 de$cribuntur, hoc e$t, tempora tota quibus Figuræ totæ $imiles de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6233 $cribuntur, $unt in eadem $ubduplicata ratione. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6234 <pb n=151>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6235 <C>PROPOSITIO LX. THEOREMA XXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6236 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6237 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6238 <p><I>St corpora duo</I> S <I>&</I> P, <I>Viribus quadrato di$tantiæ $uæ reciproee
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6239 proportionalibus $e mutuo trahentia, revalvuntur circa gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6240 tatis centrum commune: dico quod Ellip$eos, quam corpus al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6241 terutrum</I> P <I>hoc motu circa alterum</I> S <I>de$cribit, Axis principa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6242 lis erit ad Axem principalem Ellip$eos, quam corpus idem</I> P
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6243 <I>circa alterum quie$cens</I> S <I>eodem tempore periodico de$cribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6244 po$$et, ut $umma corporum duorum</I> S+P <I>ad primam duarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6245 medie proportionalium inter hanc $ummam & corpus illud al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6246 terum</I> S.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6247 <p>Nam $i de$criptæ Ellip$es e$$ent $ibi invicem æquales, tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6248 periodica (per Theorema $uperius) forent in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6249 corporis <I>S</I> ad $ummam corporum <I>S+P.</I> Minuatur in hac ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6250 tempus periodicum in Ellip$i po$teriore, & tempora periodica eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6251 dent æqualia; Ellip$eos autem axis prineipalis (per Prop. XV.) minu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6252 etur in ratione cujus hæc e$t $e$quiplicata, id e$t in ratione, cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6253 ratio <I>S</I> ad <I>S+P</I> e$t triplicata; adeoque erit ad axem principalem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6254 Ellip$eos alterius, ut prima duarum medie proportionalium inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6255 <I>S+P</I> & <I>S</I> ad <I>S+P.</I> Et inver$e, axis principalis Ellip$eos circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6256 corpus mobile de$criptæ erit ad axem principalem de$criptæ circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6257 immobile, ut <I>S+P</I> ad primam duarum medie proportionalium in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6258 ter <I>S+P</I> & <I>S. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6259 <C>PROPOSITIO LXI. THEOREMA XXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6260 <p><I>Si corpora duo Viribus quibu$vis $e mutuo trabentia, neque alias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6261 agitata vel impedita, quomodocunque moveantur; motus eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6262 rum perinde $e habebunt ac $i non traherent $e mutuo, $ed u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6263 trumque a corpore tertio in communi gravitatis centro con$tituto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6264 Viribus ii$dem traberetur: Et Virium trahentium eadem erit Lex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6265 re$pectu di$tantiæ corporum a centro illo communi atque re$pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6266 ctu di$tantiæ totius inter corpora.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6267 <p>Nam vires illæ, quibus corpora $e mutuo trahunt, tendendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6268 ad corpora, tendunt ad commune gravitatis centrum interme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6269 <pb n=152>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6270 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6271 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6272 dium, adeoque eædem $unt ac $i a corpore intermedio mana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6273 rent. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6274 <p>Et quoniam data e$t ratio di$tantiæ corporis utriu$vis a centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6275 illo communi ad di$tantiam corporis eju$dem a corpore altero, da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6276 bitur ratio cuju$vis pote$tatis di$tantiæ unius ad eandem pote$ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6277 tem di$tantiæ alterius; ut & ratio quantitatis cuju$vis, quæ ex una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6278 di$tantia & quantitatibus datis utcunque derivatur, ad quantitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6279 aliam, quæ ex altera di$tantia & quantitatibus totidem datis da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6280 tamque illam di$tantiarum rationem ad priores habentibus $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6281 derivatur. Proinde $i vis, qua corpus unum ab altero trahitur, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6282 directe vel inver$e ut di$tantia corporum ab invicem; vel ut quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6283 libet hujus di$tantiæ pote$tas; vel denique ut quantitas quævis ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6284 hac di$tantia & quantitatibus datis quomodocunque derivata: erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6285 eadem vis, qua corpus idem ad commune gravitatis centrum tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6286 hitur, directe itidem vel inver$e ut corporis attracti di$tantia a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6287 tro illo communi, vel ut eadem di$tantiæ hujus pote$tas, vel de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6288 nique ut quantitas ex hac di$tantia & analogis quantitatibus da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6289 tis $imiliter derivata. Hoc e$t, Vis trahentis eadem erit Lex re$pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6290 ctu di$tantiæ utriu$que. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6291 <C>PROPOSITIO LXII. PROBLEMA XXXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6292 <p><I>Corporum duorum quæ Viribus quadrato di$tantiæ $uæ reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6293 proportionalibus $e mutuo trahunt, ac de locis datis demittun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6294 tur, determinare Motus.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6295 <p>Corpora (per Theorema novi$$imum) perinde movebuntur ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6296 $i a corpore tertio, in communi gravitatis centro con$tituto, trahe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6297 rentur; & centrum illud ip$o motus initio quie$cet per Hypothe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6298 $in; & propterea (per Legum Corol. 4.) $emper quie$cet. Deter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6299 minandi $unt igitur motus corporum (per Prob. XXV,) perinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6300 ac $i a viribus ad centrum illud tendentibus urgerentur, & habe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6301 buntur motus corporum $e mutuo trahentium. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6302 <C>PROPOSITIO LXIII. PROBLEMA XXXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6303 <p><I>Corporum duorum quæ Viribus quadrato di$tantiæ $uæ reciproce pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6304 proportionalibus $e mutuo trahunt, deque locis datis, $ecundum datas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6305 rectas, datis cum Velocitatibus exeunt, determinare Motus.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6306 <pb n=153>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6307 <p>Ex datis corporum motibus $ub initio, datur uniformis motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6308 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6309 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6310 centri communis gravitatis, ut & motus $patii quod una cum hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6311 centro movetur uniformiter in directum, nec non corporum mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6312 tus initiales re$pectu hujus $patii. Motus autem $ub$equentes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6313 (per Legum Corollarium quintum, & Theorema novi$$imum)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6314 perinde fiunt in hoc $patio, ac $i $patium ip$um una cum commu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6315 ni illo gravitatis centro quie$ceret, & corpora non traherent $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6316 mutuo, $ed a corpore tertio $ito in centro illo traherentur. Cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6317 poris igitur alterutrius in hoc $patio mobili, de loco dato, $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6318 dum datam rectam, data cum velocitate exeuntis, & vi centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6319 ad centrum illud tendente correpti, determinandus e$t motus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6320 Problema nonum & vice$imum $extum: & habebitur $imul mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6321 tus corporis alterius e regione. Cum hoc motu componendus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6322 e$t uniformis ille Sy$tematis $patii & corporum in eo gyrantium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6323 motus progre$$ivus $upra inventus, & habebitur motus ab$olutus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6324 corporum in $patio immobili. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6325 <C>PROPOSITIO LXIV. PROBLEMA XL.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6326 <p><I>Viribus quibus Corpora $e mutuo trahunt cre$centibus in $implici ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6327 tione di$tantiarum <*> centris: requiruntur Motus plurium Cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6328 porum inter $e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6329 <p>Ponantur primo corpora duo <I>T</I> & <I>L</I> commune habentia gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6330 tatis centrum <I>D.</I> De$cribent hæc (per Corollarium primum Theo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6331 rematis XXI) Ellip$es centra habentes in <I>D,</I> quarum magnitudo ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6332 Problemate V, innote$cit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6333 <p>Trahat jam corpus tertium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6334 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6335 <I>S</I> priora duo <I>T</I> & <I>L</I> viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6336 bus acceleratricibus <I>ST, SL,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6337 & ab ip$is vici$$im trahatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6338 Vis <I>ST</I> (per Legum Cor. 2.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6339 re$olvitur in vires <I>SD, DT</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6340 & vis <I>SL</I> in vires <I>SD, DL.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6341 Vires autem <I>DT, DL,</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6342 $unt ut ip$arum $umma <I>TL,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6343 atque adeo ut vires accelera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6344 trices quibus corpora <I>T</I> & <I>L</I> $e mutuo trahunt, additæ his viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6345 bus corporum <I>T</I> & <I>L,</I> prior priori & po$terior po$teriori, com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6346 ponunt vires di$tantiis <I>DT</I> ac <I>DL</I> proportionales, ut prius, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6347 <pb n=154>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6348 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6349 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6350 viribus prioribus majores; adeoque (per Corol. 1. Prop. X. & Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6351 1 & 8. Prop, IV) efficiunt ut corpora illa de$cribant Ellip$es ut prius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6352 $ed motu celeriore. Vires reliquæ acceleratrices <I>SD</I> & <I>SD,</I> actio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6353 nibus motricibus <I>SDXT</I> & <I>SDXL,</I> quæ $unt ut corpora, tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6354 hendo corpora illa æqualiter & $ecundum lineas <I>TI, LK,</I> ip$i <I>DS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6355 parallelas, nil mutant $itus eorum ad invicem, $ed faciunt ut ip$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6356 æqualiter accedant ad lineam <I>IK</I>; quam ductam concipe per me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6357 dium corporis <I>S,</I> & lineæ <I>DS</I> perpendicularem. Impedietur au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6358 tem i$te ad lineam <I>IK</I> acce$$us faciendo ut Sy$tema corporum <I>T</I> & <I>L</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6359 ex una parte, & corpus <I>S</I> ex altera, ju$tis cum velocitatibus, gyren-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6360 tur circa commune gravitatis centrum <I>C.</I> Tali motu corpus <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6361 (eo quod $umma virium motricium <I>SDXT</I> & <I>SDXL,</I> di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6362 tiæ <I>CS</I> proportionalium, tendit ver$us centrum <I>C</I>) de$cribit El-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6363 lip$in circa idem <I>C;</I> & punctum <I>D,</I> ob proportionales <I>CS, CD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6364 de$cribet Ellip$in con$imilem e regione. Corpora autem <I>T</I> & <I>L</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6365 viribus motricibus <I>SDXT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6366 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6367 & <I>SDXL,</I> (prius priore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6368 po$terius po$teriore) æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6369 liter & $ecundum lineas pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6370 rallelas <I>TI</I> & <I>LK</I> (ut dic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6371 tum e$t) attracta, pergent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6372 (per Legum Corollarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6373 quintum & $extum) circa cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6374 trum mobile <I>D</I> Ellip$es $uas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6375 de$cribere, ut prius. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6376 <p>Addatur jam corpus quartum <I>V,</I> & $imili argumento conclude-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6377 tur hoc & punctum <I>C</I> Ellip$es circa omnium commune centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6378 gravitatis <I>B</I> de$cribere; manentibus motibus priorum corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6379 <I>T, L</I> & <I>S</I> circa centra <I>D</I> & <I>C,</I> $ed paulo acceleratis. Et eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6380 methodo corpora plura adjungere licebit. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6381 <p>Hæc ita $e habent ubi corpora <I>T</I> & <I>L</I> trahunt $e mutuo viribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6382 acceleratricibus majoribus vel minoribus quam quibus trahunt cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6383 pora reliqua pro ratione di$tantiarum. Sunto mutuæ omnium at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6384 tractiones acceleratrices ad invicem ut di$tantiæ ductæ in corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6385 ra trahentia, & ex præcedentibus facile deducetur quod corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6386 omnia æqualibus temporibus periodicis Ellip$es varias, circa om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6387 nium commune gravitatis centrum <I>B,</I> in plano immobili de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6388 bunt. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6389 <pb n=155>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6390 <C>PROPOSITIO LXV. THEOREMA XXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6391 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6392 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6393 <p><I>Corpora plura, quorum Vires decre$cunt in duplicata ratione di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6394 $tantiarum ab eorundem centris, moveri po$$e inter $e in El-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6395 lip$ibus; & radiis ad umbilicos ductis areas de$cribere tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6396 ribus proportionales quam proxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6397 <p>In Propo$itione $uperiore demon$tratus e$t ca$us ubi motus plu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6398 res peraguntur in Ellip$ibus accurate. Quo magis recedit Lex vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6399 rium a Lege ibi po$ita, eo magis corpora perturbabunt mutuos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6400 motus; neque fieri pote$t ut corpora, $ecundum Legem hic po$itam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6401 $e mutuo trahentia, moveantur in Ellip$ibus accurate, ni$i $ervando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6402 certam proportionem di$tantiarum ab invicem. In $equentibus au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6403 tem ca$ibus non multum ab Ellip$ibus errabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6404 <p><I>Cas.</I> 1. Pone corpora plura minora circa maximum aliquod ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6405 varias ab eo di$tantias revolvi, tendantque ad $ingula vires ab$olu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6406 tæ proportionales ii$dem corporibus. Et quoniam omnium com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6407 mune gravitatis centrum (per Legum Corol. quartum) vel quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6408 $cit vel movetur uniformiter in directum, fingamus corpora mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6409 nora tam parva e$$e, ut corpus maximum nunquam di$tet $en$ibi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6410 liter ab hoc centro: & maximum illud vel quie$cet vel movebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6411 uniformiter in directum, ab$que errore $en$ibili; minora autem re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6412 volventur circa hoc maximum in Ellip$ibus, atque radiis ad idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6413 ductis de$cribent areas temporibus proportionales; ni$i quatenus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6414 errores inducuntur, vel per errorem maximi a communi illo gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6415 tatis centro, vel per actiones minorum corporum in $e mutuo. Di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6416 minui autem po$$unt corpora minora u$que donec error i$te & ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6417 tiones mutuæ $int datis quibu$vis minores, atque adeo donec Orbes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6418 cum Ellip$ibus quadrent, & areæ re$pondeant temporibus, ab$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6419 errore qui non $it minor quovis dato. <I>Q.E.O.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6420 <p><I>Cas.</I> 2. Fingamus jam Sy$tema corporum minorum modo jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6421 de$cripto circa maximum revolventium, aliudve quodvis duorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6422 circum $e mutuo revolventium corporum Sy$tema progredi unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6423 miter in directum, & interea vi corporis alterius longe maximi &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6424 ad magnam di$tantiam $iti urgeri ad latus. Et quoniam æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6425 vires acceleratrices, quibus corpora $ecundum lineas parallelas ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6426 gentur, non mutant $itus corporum ad invicem, $ed ut Sy$tema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6427 totum, $ervatis partium motibus inter $e, $imul transferatur effici-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6428 unt: manife$tum e$t quod, ex attractionibus in corpus maximum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6429 <pb n=156>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6430 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6431 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6432 nulla pror$us orietur mutatio motus attractorum inter $e, ni$i vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6433 ex attractionum acceleratricum inæqualitate, vel ex inclinatione li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6434 nearum ad invicem, $ecundum quas attractiones fiunt. Pone ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6435 attractiones omnes acceleratrices in corpus maximum e$$e inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6436 reciproce ut quadrata di$tantiarum; &, augendo corporis maximi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6437 di$tantiam, donec rectarum ab hoc ad reliqua ductarum differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6438 tiæ re$pectu earum longitudinis & inclinationes ad invicem mino-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6439 res $int quam datæ quævis, per$everabunt motus partium Sy$tema-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6440 tis inter $e ab$que erroribus qui non $int quibu$vis datis minores.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6441 Et quoniam, ob exiguam partium illarum ab invicem di$tantiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6442 Sy$tema totum ad modum corporis unius attrahitur; movebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6443 idem hac attractione ad modum corporis unius; hoc e$t, centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6444 $uo gravitatis de$cribet circa corpus maximum Sectionem aliquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6445 Conicam (<I>viz.</I> Hyperbolam vel Parabolam attractione languida,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6446 Ellip$in fortiore,) & Radio ad maximum ducto de$cribet areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6447 temporibus proportionales, ab$que ullis erroribus, ni$i quas par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6448 tium di$tantiæ (perexiguæ $ane & pro lubitu minuendæ) valeant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6449 efficere. <I>Q.E.O.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6450 <p>Simili argumento pergere licet ad ca$us magis compo$itos in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6451 finitum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6452 <p><I>Corol.</I> 1. In ca$u $ecundo; quo propius accedit corpus omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6453 maximum ad Sy$tema duorum vel plurium, eo magis turbabuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6454 motus partium Sy$tematis inter $e; propterea quod linearum a cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6455 pore maximo ad has ductarum jam major e$t inclinatio ad invicem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6456 majorque proportionis inæqualitas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6457 <p><I>Corol.</I> 2. Maxime autem turbabuntur, ponendo quod attractio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6458 nes acceleratrices partium Sy$tematis ver$us corpus omnium maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6459 mum, non $int ad invicem reciproce ut quadrata di$tantiarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6460 corpore illo maximo; præ$ertim $i proportionis hujus inæqualitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6461 major $it quam inæqualitas proportionis di$tantiarum a corpore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6462 maximo: Nam $i vis acceleratrix, æqualiter & $ecundum lineas pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6463 rallelas agendo, nil perturbat motus inter $e, nece$$e e$t ut ex acti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6464 onis inæqualitate perturbatio oriatur, majorque $it vel minor pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6465 majore vel minore inæqualitate. Exce$$us impul$uum majorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6466 agendo in aliqua corpora & non agendo in alia, nece$$ario muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6467 bunt $itum eorum inter $e. Et hæc perturbatio, addita perturbatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6468 ni quæ ex linearum inclinatione & inæqualitate oritur, majorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6469 reddet perturbationem totam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6470 <p><I>Corol.</I> 3. Unde $i Sy$tematis hujus partes in Ellip$ibus vel Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6471 culis $ine perturbatione in$igni moveantur; manife$tum e$t, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6472 <pb n=157>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6473 eædem a viribus acceleratricibus ad alia corpora tendentibus, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6474 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6475 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6476 non urgentur ni$i levi$$ime, aut urgentur æqualiter & $ecundum li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6477 neas parallelas quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6478 <C>PROPOSITIO LXVI. THEOREMA XXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6479 <p><I>Si Corpora tria, quorum Vires decre$cunt in duplicata ratione di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6480 $tantiarum, $e mutuo trahant, & attractiones acceleratrices bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6481 norum quorumcunque in tertium $int inter $e reciproce ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6482 drata di$tantiarum; minora autem circa maximum revolvan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6483 tur: Dico quod interius circa intimum & maximum, radiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6484 ad ip$um ductis, de$cribet areas temporibus magis proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6485 nales, & Figuram ad formam Ellip$eos umbilicum in concur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6486 $u radiorum habentis magis accedentem, $i corpus maximum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6487 his attractionibus agitetur, quam $i maximum illud vel a mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6488 noribus non attractum quie$cat, vel multo minus vel multo ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6489 gis attractum aut multo minus aut multo magis agitetur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6490 <p>Liquet fere ex demon$tratione Corollarii $ecundi Propo$itionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6491 præcedentis; $ed argumento magis di$tincto & latius cogente $ie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6492 evincitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6493 <p><I>Cas.</I> 1. Revolvantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6494 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6495 corpora minora <I>P</I> & <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6496 in eodem plano circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6497 maximum <I>T,</I> quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6498 <I>P</I> de$cribat Orbem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6499 teriorem <I>PAB,</I> & <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6500 exteriorem <I>SE.</I> Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6501 <I>SK</I> mediocris di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6502 tia corporum <I>P</I> & <I>S</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6503 & corporis <I>P</I> ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6504 <I>S</I> attractio acceleratrix in mediocri illa di$tantia exponatur per e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6505 andem. In duplicata ratione <I>SK</I> ad <I>SP</I> capiatur <I>SL</I> ad <I>SK,</I> & e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6506 rit <I>SL</I> attractio acceleratrix corporis <I>P</I> ver$us <I>S</I> in di$tantia quavis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6507 <I>SP.</I> Junge <I>PT,</I> eique parallelam age <I>LM</I> occurrentem <I>ST</I> in <I>M,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6508 & attractio <I>SL</I> re$olvetur (per Legum Corol 2.) in attractiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6509 <I>SM, LM.</I> Et $ic urgebitur corpus <I>P</I> vi acceleratrice triplici:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6510 <pb n=158>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6511 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6512 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6513 una tendente ad <I>T</I> & oriunda a mutua attractione corporum <I>T</I> & <I>P.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6514 Hac vi $ola corpus <I>P</I> circum corpus <I>T,</I> $ive immotum $ive hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6515 attractione agitatum, de$cribere deberet & areas, radio <I>PT,</I> tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6516 poribus proportionales, & Ellip$in cui umbilicus e$t in centro cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6517 poris <I>T.</I> Patet hoc per Prop. XI. & Corollaria 2 & 3 Theor. XXI. Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6518 altera e$t attractionis <I>LM,</I> quæ quoniam tendit a <I>P</I> ad <I>T,</I> $uperad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6519 dita vi priori coincidet cum ip$a, & $ic faciet ut areæ etiamnum tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6520 poribus proportionales de$cribantur per Corol. 3. Theor. XXI. At
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6521 quoniam non e$t quadrato di$tantiæ <I>PT</I> reciproce proportionalis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6522 componet ea cum vi priore vim ab hac proportione aberrantem, id-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6523 que eo magis quo major e$t proportio hujus vis ad vim priorem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6524 cæteris paribus. Proinde cum (per Prop. XI, & per Corol. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6525 Theor. XXI) vis qua Ellip$is circa umbilicum <I>T</I> de$cribitur tendere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6526 debeat ad umbilicum illum, & e$$e quadrato di$tantiæ <I>PT</I> reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6527 proportionalis; vis illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6528 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6529 compo$ita, aberrando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6530 ab hac proportione, fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6531 ciet ut Orbis <I>PAB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6532 aberret a forma Ellip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6533 $eos umbilicum haben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6534 tis in <I>S;</I> idque eo ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6535 gis quo major e$t ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6536 erratio ab hac propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6537 tione; atque adeo eti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6538 am quo major e$t proportio vis $ecundæ <I>LM</I> ad vim primam, cæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6539 teris paribus. Jam vero vis tertia <I>SM,</I> trahendo corpus <I>P</I> $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6540 dum lineam ip$i <I>ST</I> parallelam, componet cum viribus prioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6541 vim quæ non amplius dirigitur a <I>P</I> in <I>T,</I> quæque ab hac determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6542 natione tanto magis aberrat, quanto major e$t proportio hujus ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6543 tiæ vis ad vires priores, cæteris paribus; atque adeo quæ faciet ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6544 corpus <I>P,</I> radio <I>TP,</I> areas non amplius temporibus proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6545 les de$cribat, atque aberratio ab hac proportionalitate ut tanto ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6546 jor $it, quanto major e$t proportio vis hujus tertiæ ad vires cæte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6547 ras. Orbis vero <I>PAB</I> aberrationem a forma Elliptica præfata hæc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6548 vis tertia duplici de cau$a adaugebit, tum quod non dirigatur a <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6549 ad <I>T,</I> tum etiam quod non $it proportionalis quadrato di$tantiæ <I>PT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6550 Quibus intellectis, manife$tum e$t quod areæ temporibus tum max-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6551 ime fiunt proportionales, ubi vis tertia, manentibus viribus cæte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6552 ris, fit minima; & quod Orbis <I>PAB</I> tum maxime accedit ad præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6553 fatam formam Ellipticam, ubi vis tam $ecunda quam tertia, $ed præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6554 cipue vis tertia, fit minima, vi prima manente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6555 <pb n=159>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6556 <p>Exponatur corporis <I>T</I> attractio acceleratrix ver$us <I>S</I> per lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6557 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6558 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6559 <I>SN;</I> & $i attractiones acceleratrices <I>SM, SN</I> æquales e$$ent; hæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6560 trahendo corpora <I>T</I> & <I>P</I> æqualiter & $ecundum lineas parallelas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6561 nil mutarent $itum eorum ad invicem. Iidem jam forent corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6562 illorum motus inter $e (per Legum Corol. 6.) ac $i hæ attractio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6563 nes tollerentur. Et pari ratione $i attractio <I>SN</I> minor e$$et at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6564 tractione <I>SM,</I> tolleret ip$a attractionis <I>SM</I> partem <I>SN,</I> & ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6565 neret pars $ola <I>MN,</I> qua temporum & arearum proportionalitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6566 & Orbitæ forma illa Elliptica perturbaretur. Et $imiliter $i attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6567 ctio <I>SN</I> major e$$et attractione <I>SM,</I> oriretur ex differentia $ola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6568 <I>MN</I> perturbatio proportionalitatis & Orbitæ. Sic per attractio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6569 nem <I>SN</I> reducitur $emper attractio tertia $uperior <I>SM</I> ad attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6570 ctionem <I>MN,</I> attractione prima & $ecunda manentibus pror$us im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6571 mutatis: & propterea areæ ac tempora ad proportionalitatem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6572 Orbita <I>PAB</I> ad formam præfatam Ellipticam tum maxime acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6573 dunt, ubi attractio <I>MN</I> vel nulla e$t, vel quam fieri po$$it mini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6574 ma; hoc e$t, ubi corporum <I>P & T</I> attractiones acceleratrices, fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6575 ctæ ver$us corpus <I>S,</I> accedunt quantum fieri pote$t ad æqualita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6576 tem; id e$t, ubi attractio <I>SN</I> non e$t nulla, neque minor minima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6577 attractionum omnium <I>SM,</I> $ed inter attractionum omnium <I>SM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6578 maximam & minimam qua$i mediocris, hoc e$t, non multo major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6579 neque multo minor attractione <I>SK. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6580 <p><I>Cas.</I> 2. Revolvantur jam corpora minora <I>P, S</I> circa maximum <I>T</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6581 in planis diver$is; & vis <I>LM,</I> agendo $ecundum lineam <I>PT</I> in pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6582 no Orbitæ <I>PAB</I> $itam, eundem habebit effectum ac prius, neque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6583 corpus <I>P</I> de plano Orbitæ $uæ deturbabit. At vis altera <I>NM,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6584 agendo $ecundum lineam quæ ip$i <I>ST</I> parallela e$t, (atque adco,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6585 quando corpus <I>S</I> ver$atur extra lineam Nodorum, inclinatur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6586 planum Orbitæ <I>PAB</I>;) præter perturbationem motus in Longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6587 dinem jam ante expo$itam, inducet perturbationem motus in Lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6588 tudinem, trahendo corpus <I>P</I> de plano $uæ Orbitæ. Et hæc per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6589 turbatio, in dato quovis corporum <I>P</I> & <I>T</I> ad invicem $itu, erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6590 vis illa generans <I>MN,</I> adeoque minima evadet ubi <I>MN</I> e$t mini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6591 ma, hoc e$t (uti jam expo$ui) ubi attractio <I>SN</I> non e$t multo ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6592 jor, neque multo minor attractione <I>SK. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6593 <p><I>Corol.</I> 1. Ex his facile colligitur quod, $i corpora plura minora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6594 <I>P, S, R,</I> &c. revolvantur circa maximum <I>T,</I> motus corporis inti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6595 mi <I>P</I> minime perturbabitur attractionibus exteriorum, ubi corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6596 maximum <I>T</I> pariter a cæteris, pro ratione virium acceleratricum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6597 attrahitur & agitatur atque cætera a $e mutuo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6598 <pb n=160>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6599 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6600 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6601 <p><I>Corol.</I> 2. In Sy$temate vero trium corporum <I>T, P, S,</I> $i attracti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6602 ones acceleratrices binorum quorumcunque in tertium $int ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6603 cem reciproce ut quadrata di$tantiarum; corpus <I>P,</I> radio <I>PT,</I> are-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6604 am circa corpus <I>T</I> velocius de$cribet prope Conjunctionem <I>A</I> & Op-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6605 po$itionem <I>B,</I> quam prope Quadraturas <I>C, D.</I> Namque vis omnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6606 qua corpus <I>P</I> urgetur & corpus <I>T</I> non urgetur, quæque non agit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6607 $ecundum lineam <I>PT</I> accelerat vel retardat de$criptionem areæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6608 perinde ut ip$a in con$equentia vel in antecedentia dirigitur. Talis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6609 e$t vis <I>NM.</I> Hæc in tran$itu corporis <I>P</I> a <I>C</I> ad <I>A</I> tendit in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6610 $equentia, motumque accelerat; dein u$que ad <I>D</I> in antecedentia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6611 & motum retardat; tum in con$equentia u$que ad <I>B,</I> & ultimo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6612 antecedentia tran$eundo a <I>B</I> ad <I>C.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6613 <p><I>Corol.</I> 3. Et eodem argumento patet quod corpus <I>P,</I> cæteris pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6614 ribus, velocius movetur in Conjunctione & Oppo$itione quam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6615 Quadraturis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6616 <p><I>Corol.</I> 4. Orbita corporis <I>P,</I> cæteris paribus, curvior e$t in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6617 draturis quam in Conjunctione & Oppo$itione. Nam corpora ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6618 lociora minus deflec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6619 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6620 tunt a recto tramite. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6621 præterea vis <I>KL</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6622 <I>NM,</I> in Conjunctione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6623 & Oppo$itione, con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6624 traria e$t vi qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6625 pus <I>T</I> trahit corpus <I>P,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6626 adeoque vim illam mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6627 nuit; corpus autem <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6628 minus deflectet a recto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6629 tramite, ubi minus urgetur in corpus <I>T.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6630 <p><I>Corol.</I> 5. Unde corpus <I>P,</I> cæteris paribus, longius recedet a cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6631 pore <I>T</I> in Quadraturis, quam in Conjunctione & Oppo$itione. Hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6632 ita $e habent exclu$o motu Excentricitatis. Nam $i Orbita corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6633 ris <I>P</I> excentrica $it: Excentricitas ejus (ut mox in hujus Corol. 9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6634 o$tendetur) evadet maxima ubi Ap$ides $unt in Syzygiis; indeque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6635 fieri pote$t ut corpus <I>P,</I> ad Ap$idem $ummam appellans, ab$it lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6636 gius a corpore <I>T</I> in Syzygiis quam in Quadraturis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6637 <p><I>Corol.</I> 6. Quoniam vis centripeta corporis centralis <I>T,</I> qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6638 pus <I>P</I> retinetur in Orbe $uo, augetur in Quadraturis per additio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6639 nem vis <I>LM,</I> ac diminuitur in Syzygiis per ablationem vis <I>KL,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6640 ob magnitudinem vis <I>KL,</I> magis diminuitur quam augetur; e$t au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6641 tem vis illa centripeta (per Corol. 2, Prop. IV.) in ratione compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6642 $ita ex ratione $implici radii <I>TP</I> directe & ratione duplicata tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6643 <pb n=161>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6644 ris periodici inver$e: patet hanc rationem compo$itam diminui per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6645 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6646 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6647 actionem vis <I>KL,</I> adeoque tempus periodicum, $i maneat Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6648 radius <I>TP,</I> augeri, idque in $ubduplicata ratione qua vis illa cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6649 tripeta diminuitur: auctoque adeo vel diminuto hoc Radio, tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6650 pus periodicum augeri magis, vel diminui minus quam in Radii hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6651 jus ratione $e$quiplicata, per Corol. 6. Prop. IV. Si vis illa corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6652 centralis paulatim langue$ceret, corpus <I>P</I> minus $emper & minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6653 attractum perpetuo recederet longius a centro <I>T</I>; & contra, $i vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6654 illa augeretur, accederet propius. Ergo $i actio corporis longin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6655 qui <I>S,</I> qua vis illa diminuitur, augeatur ac diminuatur per vices;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6656 augebitur $imul ac diminuetur Radius <I>TP</I> per vices, & tempus pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6657 riodicum augebitur ac diminuetur in ratione compo$ita ex ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6658 $e$quiplicata Radii & ratione $ubduplicata qua vis illa centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6659 corporis centralis <I>T,</I> per incrementum vel decrementum actionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6660 corporis longinqui <I>S,</I> diminuitur vel augetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6661 <p><I>Corol.</I> 7. Ex præmi$$is con$equitur etiam quod Ellip$eos a cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6662 pore <I>P</I> de$criptæ Axis, $eu Ap$idum linea, quoad motum angula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6663 rem progreditur & regreditur per vices, $ed magis tamen progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6664 ditur, & in $ingulis corporis revolutionibus per exce$$um progre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6665 $ionis fertur in con$equentia. Nam vis qua corpus <I>P</I> urgetur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6666 corpus <I>T</I> in Quadraturis, ubi vis <I>MN</I> evanuit, componitur ex vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6667 <I>LM</I> & vi centripeta qua corpus <I>T</I> trahit corpus <I>P.</I> Vis prior <I>LM,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6668 $i augeatur di$tantia <I>PT,</I> augetur in eadem fere ratione cum hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6669 di$tantia, & vis po$terior decre$cit in duplicata illa ratione, adeo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6670 que $umma harum virium decre$cit in minore quam duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6671 tione di$tantiæ <I>PT,</I> & propterea (per Corol. 1. Prop. XLV) efficit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6672 ut Aux, $eu Ap$is $umma, regrediatur. In Conjunctione vero &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6673 Oppo$itione, vis qua corpus <I>P</I> urgetur in corpus <I>T</I> differentia e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6674 inter vim qua corpus <I>T</I> trahit corpus <I>P</I> & vim <I>KL</I>; & differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6675 tia illa, propterea quod vis <I>KL</I> augetur quamproxime in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6676 di$tantiæ <I>PT,</I> decre$cit in majore quam duplicata ratione di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6677 tiæ <I>PT,</I> adeoque (per Corol. 1. Prop.XLV) efficit ut Aux progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6678 diatur. In locis inter Syzygias & Quadraturas pendet motus Au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6679 gis ex cau$a utraque conjunctim, adeo ut pro hujus vel alterius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6680 exce$$u progrediatur ip$a vel regrediatur. Unde cum vis <I>KL</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6681 Syzygiis $it qua$i duplo major quam vis <I>LM</I> in Quadraturis, ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6682 ce$$us in tota revolutione erit penes vim <I>KL,</I> transferetque Au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6683 gem $ingulis revolutionibus in con$equentia. Veritas autem hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6684 & præcedentis Corollarii facilius intelligetur concipiendo Sy$tema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6685 corporum duorum <I>T, P</I> corporibus pluribus <I>S, S, S,</I> &c, in Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6686 be <I>ESE</I> con$i$tentibus, undique cingi. Namque horum actioni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6687 <pb n=162>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6688 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6689 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6690 bus actio ip$ius <I>T</I> minuetur undique, decre$cetque in ratione plu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6691 quam duplicata di$tantiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6692 <p><I>Corol.</I> 8. Cum autem pendeat Ap$idum progre$$us vel regre$$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6693 a decremento vis centripetæ facto in majori vel minori quam du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6694 plicata ratione di$tantiæ <I>TP,</I> in tran$itu corporis ab Ap$ide ima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6695 ad Ap$idem $ummam; ut & a $imili incremento in reditu ad Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6696 $idem imam; atque adeo maximus $it ubi proportio vis in Ap$ide
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6697 $umma ad vim in Ap$ide ima maxime recedit a duplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6698 di$tantiarum inver$a: manife$tum e$t quod Ap$ides in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6699 $uis, per vim ablatitiam <I>KL</I> $eu <I>NM-LM,</I> progredientur ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6700 locius, inque Quadraturis $uis tardius recedent per vim addititiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6701 <I>LM.</I> Ob diuturnitatem vero temporis quo velocitas progre$$us vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6702 tarditas regre$$us continuatur, fit hæc inæqualitas longe maxima.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6703 <p><I>Corol.</I> 9. Si corpus aliquod vi reciproce proportionali quadrato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6704 di$tantiæ $uæ a centro, revolveretur circa hoc centrum in El-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6705 lip$i, & mox, in de$cen$u ab Ap$ide $umma $eu Auge ad Ap$idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6706 imam, vis illa per acce$$um perpetuum vis novæ augeretur in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6707 tione plu$quam dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6708 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6709 cata di$tantiæ diminu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6710 tæ: manife$tum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6711 quod corpus, perpe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6712 tuo acce$$u vis illius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6713 novæ impul$um $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6714 per in centrum, magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6715 vergeret in hoc cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6716 trum, quam $i urge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6717 retur vi $ola cre$cente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6718 in duplicata ratione di$tantiæ diminutæ, adeoque Orbem de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6719 beret Orbe Elliptico interiorem, & in Ap$ide ima propius acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6720 deret ad centrum quam prius. Orbis igitur, acce$$u hujus vis no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6721 væ, fiet magis excentricus. Si jam vis, in rece$$u corporis ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6722 Ap$ide ima ad Ap$idem $ummam, decre$ceret ii$dem gradibus qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6723 bus ante creverat, rediret corpus ad di$tantiam priorem, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6724 $i vis decre$cat in majori ratione, corpus jam minus attractum a$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6725 cendet ad di$tantiam majorem & $ic Orbis Excentricitas adhuc ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6726 gis augebitur. Igitur $i ratio incrementi & decrementi vis centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6727 petæ $ingulis revolutionibus augeatur, augebitur $emper Excentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6728 citas; & e contra, diminuetur eadem $i ratio illa decre$cat. Jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6729 vero in Sy$temate corporum <I>T, P, S,</I> ubi Ap$ides Orbis <I>PAB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6730 $unt in Quadraturis, ratio illa incrementi ac decrementi minima e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6731 <pb n=163>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6732 & maxima fit ubi Ap$ides $unt in Syzygiis. Si Ap$ides con$tituan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6733 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6734 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6735 tur in Quadraturis, ratio prope Ap$ides minor e$t & prope Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6736 gias major quam duplicata di$tantiarum, & ex ratione illa majori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6737 oritur Augis motus veloci$$imus, uti jam dictum e$t. At $i con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6738 $ideretur ratio incrementi vel decrementi totius in progre$$u inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6739 Ap$ides, hæc minor e$t quam duplicata di$tantiarum. Vis in Ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6740 $ide ima e$t ad vim in Ap$ide $umma in minore quam duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6741 ratione di$tantiæ Ap$idis $ummæ ab umbilico Ellip$eos ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6742 $tantiam Ap$idis imæ ab eodem umbilico: & e contra, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6743 Ap$ides con$tituuntur in Syzygiis, vis in Ap$ide ima e$t ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6744 in Ap$ide $umma in majore quam duplicata ratione di$tantiarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6745 Nam vires <I>LM</I> in Quadraturis additæ viribus corporis <I>T</I> compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6746 nunt vires in ratione minore, & vires <I>KL</I> in Syzygiis $ubductæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6747 viribus corporis <I>T</I> relinquunt vires in ratione majore. E$t igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6748 tur ratio decrementi & incrementi totius, in tran$itu inter Ap$ides,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6749 minima in Quadraturis, maxima in Syzygiis: & propterea in tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6750 $itu Ap$idum a Quadraturis ad Syzygias perpetuo augetur, auget-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6751 que Excentricitatem Ellip$eos; inque tran$itu a Syzygiis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6752 Quadraturas perpetuo diminuitur, & Excentricitatem diminuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6753 <p><I>Corol.</I> 10. Ut rationem ineamus errorum in Latitudinem, finga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6754 mus planum Orbis <I>EST</I> immobile manere; & ex errorum expo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6755 $ita cau$a manife$tum e$t quod, ex viribus <I>NM, ML,</I> quæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6756 cau$a illa tota, vis <I>ML</I> agendo $emper $ecundum planum Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6757 <I>PAB,</I> nunquam perturbat motus in Latitudinem; quodque vis <I>NM,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6758 ubi Nodi $unt in Syzygiis, agendo etiam $ecundum idem Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6759 planum, non perturbat hos motus; ubi vero $unt in Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6760 eos maxime perturbat, corpu$que <I>P</I> de plano Orbis $ui perpetuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6761 trahendo, minuit inclinationem plani in tran$itu corporis a Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6762 draturis ad Syzygias, augetque vici$$im eandem in tran$itu a Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6763 giis ad Quadraturas. Unde fit ut corpore in Syzygiis exi$tente in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6764 clinatio evadat omnium minima, redeatque ad priorem magnitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6765 nem circiter, ubi corpus ad Nodum proximum accedit. At $i Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6766 con$tituantur in Octantibus po$t Quadraturas, id e$t, inter <I>C</I> & <I>A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6767 D</I> & <I>B,</I> intelligetur ex modo expo$itis quod, in tran$itu corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6768 <I>P</I> a Nodo alterutro ad gradum inde nonage$imum, inclinatio pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6769 ni perpetuo minuitur; deinde in tran$itu per proximos 45 gradus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6770 u$que ad Quadraturam proximam, inclinatio augetur, & po$tea de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6771 nuo in tran$itu per alios 45 gradus, u$que ad Nodum proximum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6772 diminuitur. Magis itaque diminuitur inclinatio quam augetur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6773 propterea minor e$t $emper in Nodo $ub$equente quam in præce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6774 <pb n=164>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6775 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6776 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6777 dente. Et $imili ratiocinio, inclinatio magis augetur quam diminui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6778 tur ubi Nodi $unt in Octantibus alteris inter <I>A</I> & <I>D, B</I> & <I>C.</I> In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6779 clinatio igitur ubi Nodi $unt in Syzygiis e$t omnium maxima. In
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6780 tran$itu corum a Syzygiis ad Quadraturas, in $ingulis corporis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6781 Nodos appul$ibus, diminuitur, fitque omnium minima ubi Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6782 $unt in Quadraturis & corpus in Syzygiis: dein cre$cit ii$dem gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6783 dibus quibus antea decreverat, Nodi$que ad Syzygias proximas ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6784 pul$is ad magnitudinem primam revertitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6785 <p><I>Corol.</I> 11. Quoniam corpus <I>P</I> ubi Nodi $unt in Quadraturis per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6786 petuo trahitur de plano Orbis $ui, idque in partem ver$us <I>S,</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6787 tran$itu $uo a Nodo <I>C</I> per Conjunctionem <I>A</I> ad Nodum <I>D</I>; & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6788 contrariam partem in tran$itu a Nodo <I>D</I> per Oppo$itionem <I>B</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6789 Nodum <I>C</I>; manife$tum e$t quod in motu $uo a Nodo <I>C,</I> corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6790 perpetuo recedit ab Orbis $ui plano primo <I>CD,</I> u$que dum per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6791 ventum e$t ad Nodum proximum; adeoque in hoc Nodo, longi$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6792 me di$tans a plano illo primo <I>CD,</I> tran$it per planum Orbis <I>EST</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6793 non in plani illius Nodo altero <I>D,</I> $ed in puncto quod inde vergit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6794 ad partes corporis <I>S,</I> quodque proinde novus e$t Nodi locus in an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6795 teriora vergens. Et $imili argumento pergent Nodi recedere in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6796 tran$itu corporis de hoc Nodo in Nodum proximum. Nodi igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6797 tur in Quadraturis con$tituti perpetuo recedunt; in Syzygiis (ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6798 motus in Latitudinem nil perturbatur) quie$cunt; in locis inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6799 mediis, conditionis utriu$que participes, recedunt tardius; adeoque,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6800 $emper vel retrogradi vel $tationarii, $ingulis revolutionibus ferun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6801 tur in antecedentia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6802 <p><I>Corol.</I> 12. Omnes illi in his Corollariis de$cripti Errores $unt pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6803 lo majores in Conjunctione corporum <I>P, S</I> quam in eorum Op-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6804 po$itione, idque ob majores vires generantes <I>NM</I> & <I>ML.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6805 <p><I>Corol.</I> 13. Cumque rationes horum Corollariorum non pendeant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6806 a magnitudine corporis <I>S,</I> obtinent præcedentia omnia, ubi corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6807 <I>S</I> tanta $tatuitur magnitudo ut circa ip$um revolvatur corporum duo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6808 rum <I>T</I> & <I>P</I> Sy$tema. Et ex aucto corpore <I>S</I> auctaque adeo ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6809 vi centripeta, a qua errores corporis <I>P</I> oriuntur, evadent errores illi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6810 omnes (paribus di$tantiis) majores in hoc ca$u quam in altero, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6811 corpus <I>S</I> circum Sy$tema corporum <I>P</I> & <I>T</I> revolvitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6812 <p><I>Corol.</I> 14. Cum autem vires <I>NM, ML,</I> ubi corpus <I>S</I> longin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6813 quum e$t, $int quamproxime ut vis <I>SK</I> & ratio <I>PT</I> ad <I>ST</I> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6814 junctim, hoc e$t, $i detur tum di$tantia <I>PT,</I> tum corporis <I>S</I> vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6815 ab$oluta, ut <I>ST cub.</I> reciproce; $int autem vires illæ <I>NM, ML</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6816 cau$æ errorum & effectuum omnium de quibus actum e$t in præce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6817 <pb n=165>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6818 dentibus Corollariis: manife$tum e$t quod effectus illi omnes, $tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6819 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6820 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6821 te corporum <I>T</I> & <I>P</I> Sy$temate, & mutatis tantum di$tantia <I>ST</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6822 vi ab$oluta corporis <I>S,</I> $int quamproxime in ratione compo$ita ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6823 ratione directa vis ab$olutæ corporis <I>S</I> & ratione triplicata inver$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6824 di$tantiæ <I>ST.</I> Unde $i Sy$tema corporum <I>T</I> & <I>P</I> revolvatur cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6825 ca corpus longinquum <I>S,</I> vires illæ <I>NM, ML</I> & earum effectus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6826 erunt (per Corol. 2. & 6. Prop. IV.) reciproce in duplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6827 temporis periodici. Et inde etiam, $i magnitudo corporis <I>S</I> propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6828 tionalis $it ip$ius vi ab$olutæ, erunt vires illæ <I>NM, ML</I> & earum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6829 effectus directe ut cubus diametri apparentis longinqui corporis <I>S</I> e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6830 corpore <I>T</I> $pectati, & vice ver$a. Namque hæ rationes eædem $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6831 atque ratio $uperior compo$ita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6832 <p><I>Corol.</I> 15. Et quoniam $i, manentibus Orbium <I>ESE</I> & <I>PAB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6833 forma, proportionibus & inclinatione ad invicem, mutetur eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6834 magnitudo, & $i corporum <I>S</I> & <I>T</I> vel maneant vel mutentur vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6835 in data quavis ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6836 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6837 ne, hæ vires (hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6838 vis corporis <I>T</I> qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6839 pus <I>P</I> de recto trami-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6840 te in Orbitam <I>PAB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6841 deflectere, & vis cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6842 poris <I>S</I> qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6843 idem <I>P</I> de Orbita illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6844 deviare cogitur) agunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6845 $emper eodem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6846 do & eadem proportione: nece$$e e$t ut $imiles & proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6847 les $int effectus omnes & proportionalia effectuum tempora; hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6848 e$t, ut errores omnes lineares $int ut Orbium diametri, angulares
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6849 vero iidem qui prius, & errorum linearium $imilium vel angularium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6850 æqualium tempora ut Orbium tempora periodica.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6851 <p><I>Corol.</I> 16. Unde, $i dentur Orbium formæ & inclinatio ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6852 cem, & mutentur utcunque corporum magnitudines, vires & di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6853 $tantiæ; ex datis erroribus & errorum temporibus in uno Ca$u, col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6854 ligi po$$unt errores & errorum tempora in alio quovis, quam pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6855 xime: Sed brevius hac Methodo. Vires <I>NM, ML,</I> cæteris $tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6856 tibus, $unt ut Radius <I>TP,</I> & harum effectus periodici (per Corol.2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6857 Lem. X) ut vires & quadratum temporis periodici corporis <I>P</I> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6858 junctim. Hi $unt errores lineares corporis <I>P</I>; & hinc errores an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6859 gulares e centro <I>T</I> $pectati (id e$t, tam motus Augis & Nodorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6860 quam omnes in Longitudinem & Latitudinem errores apparentes)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6861 $unt, in qualibet revolutione corporis <I>P,</I> ut quadratum temporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6862 <pb n=166>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6863 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6864 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6865 revolutionis quam proxime. Conjungantur hæ rationes cum ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6866 nibus Corollarii 14, & in quolibet corporum <I>T, P, S</I> Sy$temate,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6867 ubi <I>P</I> circum <I>T</I> $ibi propinquum, & <I>T</I> circum <I>S</I> longinquum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6868 volvitur, errores angulares corporis <I>P,</I> de centro <I>T</I> apparentes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6869 erunt, in $ingulis revolutionibus corporis illius <I>P,</I> ut quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6870 temporis periodici corporis <I>P</I> directe & quadratum temporis pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6871 riodici corporis <I>T</I> inver$e. Et inde motus medius Augis erit in da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6872 ta ratione ad motum medium Nodorum; & motus uterque erit ut tempus periodicum corporis &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6873 quadratum temporis periodici corporis <I>P</I> directe & quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6874 temporis periodici corporis <I>T</I> inver$e. Augendo vel minuendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6875 Excentricitatem & Inclinationem Orbis <I>PAB</I> non mutantur mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6876 tus Augis & Nodorum $en$ibiliter, ni$i ubi eædem $unt nimis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6877 magnæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6878 <p><I>Corol.</I> 17. Cum autem linea <I>LM</I> nunc major $it nunc minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6879 quam radius <I>PT,</I> exponatur vis mediocris <I>LM</I> per radium il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6880 lum <I>PT</I>; & erit hæc ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6881 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6882 vim mediocrem <I>SK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6883 vel <I>SN</I> (quam expo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6884 nere licet per <I>ST</I>) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6885 longitudo <I>PT</I> ad lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6886 gitudinem <I>ST.</I> E$t au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6887 tem vis mediocris <I>SN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6888 vel <I>ST,</I> qua corpus <I>T</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6889 retinetur in Orbe $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6890 circum <I>S,</I> ad vim qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6891 corpus <I>P</I> retinetur in Orbe $uo circum <I>T,</I> in ratione compo$ita ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6892 ratione radii <I>ST</I> ad radium <I>PT,</I> & ratione duplicata temporis pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6893 riodici corporis <I>P</I> circum <I>T</I> ad tempus periodicum corporis <I>T</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6894 circum <I>S.</I> Et ex æquo, vis mediocris <I>LM,</I> ad vim qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6895 <I>P</I> retinetur in Orbe $uo circum <I>T</I> (quave corpus idem <I>P,</I> eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6896 dem tempore periodico, circum punctum quodvis immobile <I>T</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6897 di$tantiam <I>PT</I> revolvi po$$et) e$t in ratione illa duplicata periodi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6898 corum temporum. Datis igitur temporibus periodicis una cum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6899 $tantia <I>PT,</I> datur vis mediocris <I>LM</I>; & ea data, datur etiam vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6900 <I>MN</I> quamproxime per analogiam linearum <I>PT, MN.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6901 <p><I>Corol.</I> 18. Ii$dem legibus quibus corpus <I>P</I> circum corpus <I>T</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6902 volvitur, fingamus corpora plura fluida circum idem <I>T</I> ad æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6903 les ab ip$o di$tantias moveri; deinde ex his contiguis factis confla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6904 ri Annulum fluidum, rotundum ac corpori <I>T</I> concentricum; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6905 $ingulæ Annuli partes, motus $uos omnes ad legem corporis <I>P</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6906 <pb n=167>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6907 agendo, propius accedent ad corpus <I>T,</I> & celerius movebuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6908 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6909 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6910 in Conjunctione & Oppo$itione ip$arum & corporis <I>S,</I> quam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6911 Quadraturis. Et Nodi Annuli hujus $eu inter$ectiones ejus cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6912 plano Orbitæ corporis <I>S</I> vel <I>T,</I> quie$cent in Syzygiis; extra Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6913 gias vero movebuntur in anteccdentia, & veloci$$ime quidem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6914 Quadraturis, tardius aliis in locis. Annuli quoque inclinatio varia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6915 bitur, & axis ejus $ingulis revolutionibus o$cillabitur, completaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6916 revolutione ad pri$tinum $itum redibit, ni$i quatenus per præce$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6917 onem Nodorum circumfertur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6918 <p><I>Corol.</I> 19. Fingas jam Globum corporis <I>T,</I> ex materia non fluida
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6919 con$tantem, ampliari & extendi u$que ad hunc Annulum, & alveo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6920 per circuitum excavato continere Aquam, motuque eodem perio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6921 dico circa axem $uum uniformiter revolvi. Hic liquor per vices
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6922 acceleratus & retardatus (ut in $uperiore Corollario) in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6923 velocior erit, in Quadraturis tardior quam $uperficies Globi, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6924 $ic fluet in alveo refluet que ad modum Maris. Aqua revolvendo cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6925 ca Globi centrum quie$cens, $i tollatur attractio corporis <I>S</I> nullum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6926 acquiret motum fluxus & refluxus. Par e$t ratio Globi uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6927 progredientis in directum & interea revolventis circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6928 $uum (per Legum Corol. 5.) ut & Globi de cur$u rectilineo uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6929 formiter tracti, per Legum Corol. 6. Accedat autem corpus <I>S,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6930 & ab ip$ius inæquabili attractione mox turbabitur Aqua. Etenim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6931 major erit attractio aquæ propioris, minor ea remotioris. Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6932 autem <I>LM</I> trahet aquam deor$um in Quadraturis, facietque ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6933 $am de$cendere u$que ad Syzygias; & vis <I>KL</I> trahet eandem $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6934 $um in Syzygiis, $i$tetque de$cen$um ejus & faciet ip$am a$cendere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6935 u$que ad Quadraturas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6936 <p><I>Corol.</I> 20. Si Annulus jam rigeat & minuatur Globus, ce$$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6937 bit motus fluendi & refluendi; $ed O$cillatorius ille inclinationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6938 motus & præce$$io Nodorum manebunt. Habeat Globus eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6939 axem cum Annulo, gyro$que compleat ii$dem temporibus, & $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6940 ficie $ua contingat ip$um interius, eique inhæreat; & participando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6941 motum ejus, compages utriu$que O$cillabitur & Nodi regredien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6942 tur. Nam Globus, ut mox dicetur, ad $u$cipiendas impre$$iones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6943 omnes indifferens e$t. Annuli Globo orbati maximus inclinationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6944 angulus e$t ubi Nodi $unt in Syzygiis. Inde in progre$$u Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6945 rum ad Quadraturas conatur is inclinationem $uam minuere, & i$to
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6946 conatu motum imprimit Globo toti. Retinet Globus motum im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6947 pre$$um u$que dum Annulus conatu contrario motum hunc tollat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6948 imprimatque motum novum in contrariam partem: Atque hac ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6949 <pb n=168>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6950 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6951 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6952 tione maximus decre$centis inclinationis motus fit in Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6953 Nodorum, & minimus inclinationis angulus in Octantibus po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6954 Quadraturas; dein maximus reclinationis motus in Syzygiis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6955 maximus angulus in Octantibus proximis. Et eadem e$t ratio Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6956 bi Annulo nudati, qui in regionibus æquatoris vel altior e$t paulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6957 quam juxta polos, vel con$tat ex nateria paulo den$iore. Sup-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6958 plet enim vicem Annuli i$te materiæ in æquatoris regionibus exce$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6959 $us. Et quanquam, aucta utcunque Globi hujus vi centripeta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6960 tendere $upponantur omnes ejus partes deor$um, ad modum gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6961 vitantium partium telluris, tamen Phænomena hujus & præceden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6962 tis Corollarii vix inde mutabuntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6963 <p><I>Corol.</I> 21. Eadem ratione qua materia Globi juxta æquatorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6964 redundans efficit ut Nodi regrediantur, atque adeo per hujus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6965 crementum augetur i$te regre$$us, p<*> diminutionem vero diminui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6966 tur & per ablationem tollitur; $i materia plu$quam redundans tol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6967 latur, hoc e$t, $i Globus juxta æquatorem vel depre$$ior reddatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6968 vel rarior quam juxta polos, orietur motus Nodorum in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6969 $equentia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6970 <p><I>Corol.</I> 22. Et inde vici$$im, ex motu Nodorum innote$cit con$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6971 tutio Globi. Nimirum $i Globus polos eo$dem con$tanter $ervat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6972 & motus fit in antecedentia, materia juxta æquatorem redundat;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6973 $i in con$equentia, deficit. Pone Globum uniformem & perfecte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6974 circinatum in $patiis liberis primo quie$cere; dein impetu quocun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6975 que oblique in $uperficiem $uam facto propelli, & motum inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6976 concipere partim circularem, partim in directum. Quoniam Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6977 bus i$te ad axes omnes per centrum $uum tran$euntes indifferenter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6978 $e habet, neque propen$ior e$t in unum axem, unumve axis $itum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6979 quam in alium quemvis; per$picuum e$t quod is axem $uum axi$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6980 que inclinationem vi propria nunquam mutabit. Impellatur jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6981 Globus oblique, in eadem illa $uperficiei parte qua prius, impul$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6982 quocunque novo; & cum citior vel $erior impul$us effectum nil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6983 mutet, manife$tum e$t quod hi duo impul$us $ucce$$ive impre$$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6984 eundem producent motum ac $i $imul impre$$i fui$$ent, hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6985 eundem ac $i Globus vi $implici ex utroque (per Legum Corol. 2.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6986 compo$ita impul$us fui$$et, atque adeo $implicem, circa axem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6987 clinatione datum. Et par e$t ratio impul$us $ecundi facti in lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6988 cum alium quemvis in æquatore motus primi; ut & impul$us pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6989 mi facti in locum quemvis in æquatore motus, quem impul$us $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6990 cundus ab$que primo generaret; atque adeo impul$uum amborum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6991 factorum in loca quæcunque: Generabunt hi eundem motum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6992 <pb n=169>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6993 cularem ac $i $imul & $emel in locum inter$ectionis æquatorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6994 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6995 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6996 motuum illorum, quos $eor$im generarent, fui$$ent impre$$i.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6997 Globus igitur homogeneus & perfectus non retinet motus plures
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6998 di$tinctos, $ed impre$$os omnes componit & ad unum reducit, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	6999 quatenus in $e e$t, gyratur $emper motu $implici & uniformi circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7000 axem unicum, inclinatione $emper invariabili datum. Sed nec vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7001 centripeta inclinationem axis, aut rotationis velocitatem mutare
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7002 pote$t. Si Globus plano quocunque, per centrum $uum & cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7003 trum in quod vis dirigitur tran$eunte, dividi intelligatur in duo he-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7004 mi$phæria; urgebit $emper vis illa utrumque hemi$phærium æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7005 liter, & propterea Globum, quoad motum rotationis, nullam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7006 partem inclinabit. Addatur vero alicubi inter polum & æquato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7007 rem materia nova in formam montis cumulata, & hæc, perpetuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7008 conatu recedendi a centro $ui motus, turbabit motum Globi, fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7009 cietque polos ejus errare per ip$ius $uperficiem, & circulos circum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7010 $e punctumque $ibi oppo$itum perpetuo de$cribere. Neque corrige-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7011 tur i$ta vagationis enormitas, ni$i locando montem illum vel in polo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7012 alterutro, quo in Ca$u (per Corol. 21) Nodi æquatoris progredien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7013 tur; vel in æquatore, qua ratione (per Corol. 20) Nodi regredi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7014 entur; vel denique ex altera axis parte addendo materiam novam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7015 qua mons inter movendum libretur, & hoc pacto Nodi vel pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7016 gredientur, vel recedent, perinde ut mons & hæcce nova materia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7017 $unt vel polo vel æquatori propiores.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7018 <C>PROPOSITIO LXVII. THEOREMA XXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7019 <p><I>Po$itis ii$dem attractionum legibus, dico quod corpus exterius</I> S,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7020 <I>circa interiorum</I> P, T <I>commune gravitatis centrum</I> C, <I>radiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7021 ad centrum illud ductis, de$cribit areas temporibus magis pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7022 portionales & Orbem ad formam Ellip$eos umbilicum in centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7023 eodem habentis magis accedentem, quam circa corpus intimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7024 & maximum</I> T, <I>radiis ad ip$um ductis, de$cribere potest.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7025 <p>Nam corporis <I>S</I> attractiones ver$us <I>T</I> & <I>P</I> componunt ip$ius at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7026 tractionem ab$olutam, quæ magis dirigitur in corporum <I>T</I> & <I>P</I> com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7027 mune gravitatis centrum <I>C,</I> quam in corpus maximum <I>T,</I> quæque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7028 quadrato di$tantiæ <I>SC</I> magis e$t proportionalis reciproce, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7029 quadrato di$tantiæ <I>ST:</I> ut rem perpendenti facile con$tabit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7030 <pb n=170>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7031 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7032 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7033 <C>PROPOSITIO LXVIII. THEOREMA XXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7034 <p><I>Po$itis ii$dem attractionum legibus, dico quod corpus exterius</I> S,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7035 <I>circa interiorum</I> P & T <I>commune gravitatis centrum</I> C, <I>ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7036 diis ad centrum illud ductis, de$cribit areas temporibus magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7037 proportionales, & Orbem ad formam Ellip$eos umbilicum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7038 centro eodem habentis magis accedentem, $i corpus intimum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7039 maximum his attractionibus perinde atque cætera agitetur, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7040 $i id vel non attractum quie$cat, vel multo magis aut multo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7041 minus attractum aut multo magis aut multo minus agitetur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7042 <p>Demon$tratur eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7043 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7044 dem fere modo cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7045 Prop. LXVI, $ed ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7046 gumento prolixiore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7047 quod ideo prætereo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7048 Suffecerit rem $ic æ$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7049 mare. Ex demon$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7050 tione Propo$itionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7051 novi$$imæ liquet cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7052 trum in quod corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7053 <I>S</I> conjunctis viribus urgetur, proximum e$$e communi centro gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7054 vitatis duorum illorum. Si coincideret hoc centrum cum centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7055 illo communi, & quie$ceret commune centrum gravitatis corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7056 trium; de$criberent corpus <I>S</I> ex una parte, & commune centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7057 aliorum duorum ex altera parte, circa commune omnium centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7058 quie$cens, Ellip$es accuratas. Liquet hoc per Corollarium $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7059 dum Propo$itionis LVIII collatum cum demon$tratis in Propo$.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7060 LXIV & LXV. Perturbatur i$te motus Ellipticus aliquantulum per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7061 di$tantiam centri duorum a centro in quod tertium <I>S</I> attrahitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7062 Detur præterea motus communi trium centro, & augebitur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7063 turbatio. Proinde minima e$t perturbatio ubi commune trium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7064 centrum quie$cit, hoc e$t, ubi corpus intimum & maximum <I>T</I> lege
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7065 cæterorum attrahitur: fitque major $emper ubi trium commune il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7066 lud centrum, minuendo motum corporis <I>T,</I> moveri incipit & ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7067 gis deinceps magi$que agitatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7068 <pb n=171>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7069 <p><I>Corol.</I> Et hinc, $i corpora plura minora revolvantur circa maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7070 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7071 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7072 mum, colligere licet quod Orbitæ de$criptæ propius accedent ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7073 Ellipticas, & arearum de$criptiones fient magis æquabiles, $i cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7074 pora omnia viribus acceleratricibus, quæ $unt ut eorum vires ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7075 $olutæ directe & quadrata di$tantiarum inver$e, $e mutuo trahant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7076 agitentque, & Orbitæ cuju$que umbilicus collocetur in communi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7077 centro gravitatis corporum omnium interiorum (nimirum umbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7078 licus Orbitæ primæ & intimæ in centro gravitatis corporis maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7079 mi & intimi; ille Orbitæ $ecundæ, in communi centro gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7080 tatis corporum duorum intimorum; i$te tertiæ, in communi cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7081 tro gravitatis trium interiorum; & $ic deinceps) quam $i corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7082 intimum quie$cat & $tatuatur communis umbilicus Orbitarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7083 omnium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7084 <C>PROPOSITIO LXIX. THEOREMA XXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7085 <p><I>In Sy$temate corporum plurium</I> A, B, C, D, <I>&c. $i corpus aliquod</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7086 A <I>trahit cætera omnia</I> B, C, D, <I>&c. viribus acceler atricibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7087 quæ $unt reciproce ut quadrata di$tantiarum a trahente; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7088 corpus aliud</I> B <I>trahit etiam cætera</I> A, C, D, <I>&c. viribus quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7089 $unt reciproce ut quadrata di$tantiarum a trahente: erunt Ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7090 $olutæ corporum trahentium</I> A, B <I>vires ad invicem, ut $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7091 ip$a corpora</I> A, B, <I>quorum $unt vires.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7092 <p>Nam attractiones acceleratrices corporum omnium <I>B, C, D</I> ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7093 $us <I>A,</I> paribus di$tantiis, $ibi invicem æquantur ex Hypothe$i; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7094 $imiliter attractiones acceleratrices corporum omnium ver$us <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7095 paribus di$tantiis, $ibi invicem æquantur. E$t autem ab$oluta vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7096 attractiva corporis <I>A</I> ad vim ab$olutam attractivam corporis <I>B,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7097 attractio acceleratrix corporum omnium ver$us <I>A</I> ad attractionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7098 acceleratricem corporum omnium ver$us <I>B,</I> paribus di$tantiis; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7099 ita e$t attractio acceleratrix corporis <I>B</I> ver$us <I>A,</I> ad attractionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7100 acceleratricem corporis <I>A</I> ver$us <I>B.</I> Sed attractio acceleratrix cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7101 poris <I>B</I> ver$us <I>A</I> e$t ad attractionem acceleratricem corporis <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7102 ver$us <I>B,</I> ut ma$$a corporis <I>A</I> ad ma$$am corporis <I>B</I>; propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7103 quod vires motrices, quæ (per Definitionem $ecundam, $epti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7104 mam & octavam) ex viribus acceleratricibus in corpora attracta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7105 ductis oriuntur, $unt (per motus Legem tertiam) $ibi invicem æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7106 <pb n=172>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7107 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7108 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7109 les. Ergo ab$oluta vis attractiva corporis <I>A</I> e$t ad ab$olutam vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7110 attractivam corporis <I>B,</I> ut ma$$a corporis <I>A</I> ad ma$$am corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7111 ris <I>B. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7112 <p><I>Corol.</I> 1. Hinc $i $ingula Sy$tematis corpora <I>A, B, C, D,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7113 $eor$im $pectata trahant cætera omnia viribus acceleratricibus quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7114 $unt reciproce ut quadrata di$tantiarum a trahente; erunt corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7115 rum illorum omnium vires ab$olutæ ad invicem ut $unt ip$a cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7116 pora.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7117 <p><I>Corol.</I> 2. Eodem argumento, $i $ingula Sy$tematis corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7118 <I>A, B, C, D,</I> &c. $eor$im $pectata trahant cætera omnia viribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7119 acceleratricibus quæ $unt vel reciproce vel directe in ratione dig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7120 nitatis cuju$cunque di$tantiarum a trahente, quæve $ecundum Le-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7121 gem quamcunque communem ex di$tantiis ab unoquoque trahente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7122 definiuntur; con$tat quod corporum illorum vires ab$olutæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7123 ut corpora.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7124 <p><I>Corol.</I> 3. In Sy$temate corporum, quorum vires decre$cunt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7125 ratione duplicata di$tantiarum, $i minora circa maximum in Ellip$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7126 bus umbilicum communem in maximi illius centro habentibus quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7127 fieri pote$t accurati$$imis revolvantur, & radiis ad maximum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7128 ductis de$cribant areas temporibus quam maxime proportionales:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7129 erunt corporum illorum vires ab$olutæ ad invicem, aut accurate aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7130 quamproxime in ratione corporum; & contra. Patet per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7131 Prop. LXVIII collatum cum hujus Corol. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7132 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7133 <p>His Propo$itionibus manuducimur ad analogiam inter vires cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7134 tripetas & corpora centralia, ad quæ vires illæ dirigi $olent. Ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7135 tioni enim con$entaneum e$t, ut vires quæ ad corpora diriguntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7136 pendeant ab eorundem natura & quantitate, ut fit in Magneticis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7137 Et quoties huju$modi ca$us incidunt, æ$timandæ erunt corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7138 attractiones, a$$ignando $ingulis eorum particulis vires proprias,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7139 & colligendo $ummas virium. Vocem Attractionis hic generaliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7140 u$urpo pro corporum conatu quocunque accedendi ad invicem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7141 $ive conatus i$te fiat ab actione corporum, vel $e mutuo petentium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7142 vel per Spiritus emi$$os $e invicem agitantium, $ive is ab actione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7143 Ætheris, aut Aeris, Mediive cuju$cunque $eu corporei $eu incorpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7144 rei oriatur corpora innatantia in $e invicem utcunque impellentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7145 Eodem $en$u generali u$urpo vocem Impul$us, non $pecies virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7146 <pb n=173>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7147 & qualitates Phy$icas, $ed quantitates & proportiones Mathema-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7148 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7149 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7150 ticas in hoc Tractatu expendens, ut in Definitionibus explicui. In
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7151 Mathe$i inve$tigandæ $unt virium quantitates & rationes illæ, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7152 ex conditionibus quibu$cunque po$itis con$equentur: deinde, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7153 in Phy$icam de$cenditur, conferendæ $unt hæ rationes cum Phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7154 nomenis, ut innote$cat quænam virium conditiones $ingulis cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7155 porum attractivorum generibus competant. Et tum demum de vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7156 rium $peciebus, cau$is & rationibus Phy$icis tutius di$putare lice-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7157 bit. Videamus igitur quibus viribus corpora Sphærica, ex particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7158 lis modo jam expo$ito attractivis con$tantia, debeant in $e mutuo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7159 agere, & quales motus inde con$equantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7160 <C>SECTIO XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7161 <C><I>De Corporum Sphæriccrum Viribus attractivis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7162 <C>PROPOSITIO LXX. THEOREMA XXX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7163 <p><I>Si ad Sphæricæ $uperficiei puncta $ingula tendant vires æquales cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7164 tripetæ decre$centes in duplicata ratione di$tantiarum a punctis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7165 dico quod corpu$culum in<*>$uperficiem con$titutum his viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7166 bus nullam in partem attrahitur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7167 <p>Sit <I>HIKL</I> $uperficies illa Sphæri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7168 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7169 ca, & <I>P</I> corpu$culum intus con$titu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7170 tum. Per <I>P</I> agantur ad hanc $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7171 ficiem lineæ duæ <I>HK, IL,</I> arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7172 quam minimos <I>HI, KL</I> intercipi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7173 entes; &, ob triangula <I>HPI, LPK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7174 (per Corol. 3. Lem. VII) $imilia, arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7175 illi erunt di$tantiis <I>HP, LP</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7176 portionales; & $uperficiei Sphæricæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7177 particulæ quævis ad <I>HI</I> & <I>KL,</I> rec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7178 tis per punctum <I>P</I> tran$euntibus un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7179 dique terminatæ, erunt in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7180 illa ratione. Ergo vires harum particularum in corpus <I>P</I> exercitæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7181 $unt inter $e æquales. Sunt enim ut particulæ directe & quadrata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7182 di$tantiarum inver$e. Et hæ duæ rationes componunt rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7183 <pb n=174>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7184 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7185 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7186 æqualitatis. Attractiones igitur, in contrarias partes æqualiter fac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7187 tæ, $e mutuo de$truunt. Et $imili argumento, attractiones omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7188 per totam Sphæricam $uperficiem a contrariis attractionibus de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7189 $truuntur. Proinde corpus <I>P</I> nullam in partem his attractionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7190 impellitur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7191 <C>PROPOSITIO LXXI. THEOREMA XXXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7192 <p><I>Ii$dem po$itis, dico quod corpu$culum extra Sphæricam $uperficiem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7193 con$titutum attrahitur ad centrum Sphæræ, vi reciproce propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7194 tionali quadrato di$tantiæ $uæ ab eodem centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7195 <p>Sint <I>AHKB, ahkb</I> æquales duæ $uperficies Sphæricæ, centris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7196 <I>S, s,</I> diametris <I>AB, ab</I> de$criptæ, & <I>P, p</I> corpu$cula $ita extrin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7197 $ecus in diametris illis productis. Agantur a corpu$culis lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7198 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7199 <I>PHK, PIL, phk, pil,</I> auferentes a circulis maximis <I>AHB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7200 ahb,</I> æquales arcus <I>HK, hk</I> & <I>IL, il:</I> Et ad eas de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7201 mittantur perpendicula <I>SD, sd; SE, se; IR, ir;</I> quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7202 <I>SD, sd</I> $ecent <I>PL, pl</I> in <I>F</I> & <I>f:</I> Demittantur etiam ad diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7203 tros perpendicula <I>IQ, iq.</I> Evane$cant anguli <I>DPE, dpe:</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7204 (ob æquales <I>DS</I> & <I>ds, ES</I> & <I>es,</I>) lineæ <I>PE, PF</I> & <I>pe, pf</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7205 & lineolæ <I>DF, df</I> pro æqualibus habeantur; quippe quarum ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7206 tio ultima, angulis illis <I>DPE, dpe</I> $imul evane$centibus, e$t æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7207 qualitatis. His itaque con$titutis, erit <I>PI</I> ad <I>PF</I> ut <I>RI</I> ad <I>DF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7208 & <I>pf</I> ad <I>pi</I> ut <I>df</I> vel <I>DF</I> ad <I>ri</I>; & ex æquo <I>PIXpf</I> ad <I>PFXpi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7209 ut <I>RI</I> ad <I>ri,</I> hoc e$t (per Corol. 3. Lem. VII,) ut arcus <I>IH</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7210 arcum <I>ih.</I> Rur$us <I>PI</I> ad <I>PS</I> ut <I>IQ</I> ad <I>SE,</I> & <I>ps</I> and <I>pi</I> ut <I>se</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7211 vel <I>SE</I> ad <I>iq;</I> & ex æquo <I>PIXps</I> ad <I>PSXpi</I> ut <I>IQ</I> ad <I>iq.</I> ET
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7212 conjunctis rationibus <I>PI quad.XpfXps</I> ad <I>pi quad.XPFXPS,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7213 ut <I>IHXIQ</I> ad <I>ihXiq;</I> hoc e$t, ut $uperficies circularis, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7214 <pb n=175>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7215 arcus <I>IH</I> convolutione $emicirculi <I>AKB</I> circa diametrum <I>AB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7216 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7217 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7218 de$cribet, ad $uperficiem circularem, quam arcus <I>ih</I> convolutione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7219 $emicirculi <I>akb</I> circa diametrum <I>ab</I> de$cribet. Et vires, quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7220 hæ $uperficies $ecundum lineas ad $e tendentes attrahunt corpu$cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7221 la <I>P</I> & <I>p,</I> $unt (per Hypothe$in) ut ip$æ $uperficies applicatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7222 ad quadrata di$tantiarum $uarum a corporibus, hoc e$t, ut <I>pfXps</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7223 ad <I>PFXPS.</I> Suntque hæ vires ad ip$arum partes obliquas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7224 quæ (facta per Legum Corol. 2. re$olutione virium) $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7225 lineas <I>PS, ps</I> ad centra tendunt, ut <I>PI</I> ad <I>PQ,</I> & <I>pi</I> ad <I>pq;</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7226 e$t (ob $imilia triangula <I>PIQ</I> & <I>PSF, piq</I> & <I>psf</I>) ut <I>PS</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7227 <I>PF</I> & <I>ps</I> ad <I>pf.</I> Unde, ex æquo, fit attractio corpu$culi hujus <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7228 ver$us <I>S</I> ad attractionem corpu$culi <I>p</I> ver$us <I>s,</I> ut (<I>PFXpfXps/PS</I>) ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7229 (<I>pfXPFXPS/ps</I>), hoc e$t, ut <I>ps quad.</I> ad <I>PS quad.</I> Et $imili argu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7230 mento vires, quibus $uperficies convolutione arcuum <I>KL, kl</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7231 $criptæ trahunt corpu$cula, erunt ut <I>ps quad.</I> ad <I>PS quad.</I>; inque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7232 eadem ratione erunt vires $uperficierum omnium circularium in quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7233 utraque $uperficies Sphærica, capiendo $emper <I>sd</I> æqualem <I>SD</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7234 <I>se</I> æqualem <I>SE,</I> di$tingui pote$t. Et, per compo$itionem, vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7235 totarum $uperficierum Sphæricarum in corpu$cula exercitæ erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7236 in eadem ratione. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7237 <C>PROPOSITIO LXXII. THEOREMA XXXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7238 <p><I>Si ad Sphæræ cuju$vis puncta $ingula tendant vires æquales cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7239 tripetæ decre$centes in duplicata ratione di$tantiarum a punctis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7240 ac detur tum Sphæræ den$itas, tum ratio diametri Sphæræ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7241 di$tantiam corpu$culi a centro ejus; dico quod vis qua corpu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7242 culum attrahitur proportionalis erit $emidiametro Sphæræ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7243 <p>Nam concipe corpu$cula duo $eor$im a Sphæris duabus attrahi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7244 unum ab una & alterum ab altera, & di$tantias eorum a Sphæra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7245 rum centris proportionales e$$e diametris Sphærarum re$pective,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7246 Sphæras autem re$olvi in particulas $imiles & $imiliter po$itas ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7247 corpu$cula. Et attractiones corpu$culi unius, factæ ver$us $ingulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7248 particulas Sphæræ unius, erunt ad attractiones alterius ver$us ana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7249 logas totidem particulas Sphæræ alterius, in ratione compo$ita ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7250 ratione particularum directe & ratione duplicata di$tantiarum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7251 <pb n=176>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7252 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7253 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7254 ver$e. Sed particulæ $unt ut Sphæræ, hoc e$t, in ratione triplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7255 diametrorum, & di$tantiæ $unt ut diametri, & ratio prior directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7256 una cum ratione po$teriore bis inver$e e$t ratio diametri ad diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7257 trum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7258 <p><I>Corol.</I> 1. Hinc $i corpu$cula in Circulis, circa Sphæras ex materia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7259 æqualiter attractiva con$tantes, revolvantur; $intque di$tantiæ a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7260 tris Sphærarum proportionales earundem diametris: Tempora peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7261 odica erunt æqualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7262 <p><I>Corol.</I> 2. Et vice ver$a, $i Tempora periodica $unt æqualia;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7263 di$tantiæ erunt proportionales diametris. Con$tant hæc duo per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7264 Corol. 3. Prop. IV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7265 <p><I>Corol.</I> 3. Si ad Solidorum durorum quorumvis $imilium & æquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7266 ter den$orum puncta $ingula tendant vires æquales centripetæ de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7267 cre$centes in duplicata ratione di$tantiarum a punctis: vires qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7268 bus corpu$cula, ad Solida illa duo $imiliter $ita, attrahentur ab ii$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7269 dem, erunt ad invicem ut diametri Solidorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7270 <C>PROPOSITIO LXXIII. THEOREMA XXXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7271 <p><I>Si ad Sphæræ alicujus datæ puncta $ingula tendant æquales vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7272 centripetæ decre$centes in duplicata ratione di$tantiarum a pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7273 ctis: dico quod corpu$culum intra Sphæram con$titutum attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7274 bitur vi proportionali di$tantiæ $uæ ab ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7275 <p>In Sphæra <I>ABCD,</I> centro <I>S</I> de$cripta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7276 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7277 locetur corpu$culum <I>P</I>; & centro eodem <I>S,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7278 intervallo <I>SP,</I> concipe Sphæram interiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7279 <I>PEQF</I> de$cribi. Manife$tum e$t, per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7280 LXX, quod Sphæricæ $uperficies concentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7281 cæ ex quibus Sphærarum differentia <I>AEBF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7282 componitur, attractionibus per attractiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7283 contrarias de$tructis, nil agunt in corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7284 <I>P.</I> Re$tat $ola attractio Sphæræ interioris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7285 <I>PEQF.</I> Et per Prop. LXXII, hæc e$t ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7286 di$tantia <I>PS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7287 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7288 <p>Superficies ex quibus $olida componuntur, hic non $unt pure
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7289 Mathematicæ, $ed Orbes adeo tenues ut eorum cra$$itudo in$tar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7290 <pb n=177>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7291 nihili $it; nimirum Orbes evane$centes ex quibus Sphæra ultimo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7292 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7293 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7294 con$tat, ubi Orbium illorum numerus augetur & cra$$itudo minui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7295 tur in infinitum. Similiter per Puncta, ex quibus lineæ, $uperficies
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7296 & $olida componi dicuntur, intelligendæ $unt particulæ æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7297 magnitudinis contemnendæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7298 <C>PROPOSITIO LXXIV. THEOREMA XXXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7299 <p><I>Ii$dem po$itis, dico quod corpu$culum extra Sphæram con$titutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7300 attrabitur vi reciproce proportionali quadrato di$tantiæ $uæ ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7301 ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7302 <p>Nam di$tinguatur Sphæra in $uperficies Sphæricas innumeras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7303 concentricas, & attractiones corpu$culi a $ingulis $uperficiebus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7304 oriundæ erunt reciproce proportionales quadrato di$tantiæ cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7305 pu$culi a centro, per Prop. LXXI. Et componendo, fiet $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7306 ma attractionum, hoc e$t attractio corpu$culi in Sphæram totam, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7307 eadem ratione. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7308 <p><I>Corol.</I> 1. Hinc in æqualibus di$tantiis a centris homogenearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7309 Sphærarum, attractiones $unt ut Sphæræ. Nam per Prop. LXXII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7310 $i di$tantiæ $unt proportionales diametris Sphærarum, vires erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7311 ut diametri. Minuatur di$tantia major in illa ratione; &, di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7312 tiis jam factis æqualibus, augebitur attractio in duplicata illa ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7313 ne, adeoque erit ad attractionem alteram in triplicata illa ratione,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7314 hoc e$t, in ratione Sphærarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7315 <p><I>Corol.</I> 2. In di$tantiis quibu$vis attractiones $unt ut Sphæræ ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7316 plicatæ ad quadrata di$tantiarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7317 <p><I>Corol.</I> 3. Si corpu$culum, extra Sphæram homogeneam po$itum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7318 trahitur vi reciproce proportionali quadrato di$tantiæ $uæ ab ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7319 centro, con$tet autem Sphæra ex particulis attractivis; decre$cet vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7320 particulæ cuju$que in duplicata ratione di$tantiæ a particula.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7321 <C>PROPOSITIO LXXV. THEOREMA XXXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7322 <p><I>Si ad Sphæræ datæ puncta $ingula tendant vires æquales centripe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7323 tæ, decre$centes in duplicata ratione di$tantiarum a punctis; dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7324 quod Sphæra quævis alia $imilaris ab eadem attrahitur vi reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7325 proce proportionali quadrato di$tantiæ centrorum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7326 <p>Nam particulæ cuju$vis attractio e$t reciproce ut quadratum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7327 $tantiæ $uæ a centro Sphæræ trahentis, (per Prop. LXXIV) & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7328 <pb n=178>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7329 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7330 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7331 terea eadem e$t ac $i vis tota attrahens manaret de corpu$culo uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7332 co $ito in centro hujus Sphæræ. Hæc autem attractio tanta e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7333 quanta foret vici$$im attractio corpu$culi eju$dem, $i modo illud a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7334 $ingulis Sphæræ attractæ particulis eadem vi traheretur qua ip$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7335 attrahit. Foret autem illa corpu$culi attractio (per Prop. LXXIV)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7336 reciproce proportionalis quadrato di$tantiæ $uæ a centro Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7337 ræ; adeoque huic æqualis attractio Sphæræ e$t in eadem ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7338 ne. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7339 <p><I>Corol.</I> 1. Attractiones Sphærarum, ver$us alias Sphæras homoge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7340 neas, $unt ut Sphæræ trahentes applicatæ ad quadrata di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7341 centrorum $uorum a centris earum quas attrahunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7342 <p><I>Corol.</I> 2. Idem valet ubi Sphæra attracta etiam attrahit. Nam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7343 que hujus puncta $ingula trahent $ingula alterius, eadem vi qua ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7344 ip$is vici$$im trahuntur, adeoque cum in omni attractione urgea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7345 tur (per Legem III) tam punctum attrahens, quam punctum at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7346 tractum, geminabitur vis attractionis mutuæ, con$ervatis propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7347 tionibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7348 <p><I>Corol.</I> 3. Eadem omnia, quæ $uperius de motu corporum circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7349 umbilicum Conicarum Sectionum demon$trata $unt, obtinent ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7350 Sphæra attrahens locatur in umbilico & corpora moventur extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7351 Sphæram.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7352 <p><I>Corol.</I> 4. Ea vero quæ de motu corporum circa centrum Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7353 nicarum Sectionum demon$trantur, obtinent ubi motus peraguntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7354 intra Sphæram.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7355 <C>PROPOSITIO LXXVI. THEOREMA XXXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7356 <p><I>Si Sphæræ in progre$$u a centro ad circumferentiam (quoad mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7357 riæ den$itatem & vim attractivam) utcunque di$$imilares, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7358 progre$$u vero per circuitum ad datam omnem a centro di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7359 tiam $unt undique $imilares, & vis attractiva puncti cuju$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7360 decre$cit in duplicata ratione di$tantiæ corporis attracti: dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7361 quod vis tota qua huju$modi Sphæra una attrahit aliam $it reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7362 proce proportionalis quadrato di$tantiæ centrorum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7363 <p>Sunto Sphæræ quotcunque concentricæ $imilares <I>AB, CD, EF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7364 &c. quarum interiores additæ exterioribus componant materiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7365 <pb n=179>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7366 den$iorem ver$us centrum, vel $ubductæ relinquant tenuiorem; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7367 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7368 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7369 hæ (per Prop. LXXV) trahent Sphæras alias quotcunque concentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7370 cas $imilares <I>GH, IK, LM,</I> &c. $ingulæ $ingulas, viribus reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7371 proce proportionalibus quadrato di$tantiæ <I>SP.</I> Et componendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7372 vel dividendo, $umma virium illarum omnium, vel exce$$us ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7373 quarum $upra alias, hoc e$t, vis quas Sphæra tota ex concen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7374 tricis quibu$cunque vel concentricarum differentiis compo$ita <I>AB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7375 trahit totam ex concentricis quibu$cunque vel concentricarum dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7376 ferentiis compo$itam <I>GH,</I> erit in eadem ratione. Augeatur nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7377 merus Sphærarum concentricarum in infinitum $ic, ut materiæ den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7378 $itas una cum vi attractiva, in progre$$u a circumferentia ad cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7379 trum, $ecundum Legem quamcunque cre$cat vel decre$cat: &, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7380 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7381 dita materia non attractiva, compleatur ubivis den$itas deficiens, eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7382 ut Sphæræ acquirant formam quamvis optatam; & vis qua harum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7383 una attrahet alteram erit etiamnum (per argumentum $uperius) in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7384 eadem illa di$tantiæ quadratæ ratione inver$a. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7385 <p><I>Corol.</I> 1. Hinc $i eju$modi Sphæræ complures, $ibi invicem per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7386 omnia $imiles, $e mutuo trahant; attractiones acceleratrices $ingula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7387 rum in $ingulas erunt, in æqualibus quibu$vis centrorum di$tantiis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7388 ut Sphæræ attrahentes.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7389 <p><I>Corol.</I> 2. Inque di$tantiis quibu$vis inæqualibus, ut Sphæræ attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7390 hentes applicatæ ad quadrata di$tantiarum inter centra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7391 <p><I>Corol.</I> 3. Attractiones vero motrices, $eu pondera Sphærarum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7392 Sphæras erunt, in æqualibus centrorum di$tantiis, ut Sphæræ attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7393 hentes & attractæ conjunctim, id e$t, ut contenta $ub Sphæris per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7394 multiplicationem producta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7395 <p><I>Corol.</I> 4. Inque di$tantiis inæqualibus, ut contenta illa applicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7396 ad quadrata di$tantiarum inter centra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7397 <pb n=180>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7398 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7399 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7400 <p><I>Corol.</I> 5. Eadem valent ubi attractio oritur a Sphæræ utriu$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7401 virtute attractiva, mutuo exercita in Sphæram alteram. Nam viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7402 bus ambabus geminatur attractio, proportione $ervata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7403 <p><I>Corol.</I> 6. Si huju$modi Sphæræ aliquæ circa alias quie$centes re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7404 volvantur, $ingulæ circa $ingulas, $intque di$tantiæ inter centra re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7405 volventium & quie$centium proportionales quie$centium diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7406 tris; æqualia erunt Tempora periodica.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7407 <p><I>Corol.</I> 7. Et vici$$im, $i Tempora periodica $unt æqualia; di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7408 tiæ erunt proportionales diametris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7409 <p><I>Corol.</I> 8. Eadem omnia, quæ $uperius de motu corporum circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7410 umbilicos Conicarum Sectionum demon$trata $unt, obtinent ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7411 Sphæra attrahens, formæ & conditionis cuju$vis jam de$criptæ, lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7412 catur in umbilico.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7413 <p><I>Corol.</I> 9. Ut & ubi gyrantia $unt etiam Sphæræ attrahentes, con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7414 ditionis cuju$vis jam de$criptæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7415 <C>PROPOSITIO LXXVII. THEOREMA XXXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7416 <p><I>Si ad $ingula Sphærarum puncta tendant vires centripetæ, proper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7417 tionales di$tantiis punctorum a corporibus attractis: dico quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7418 vis compo$ita, qua Sphæræ duæ $e mutuo trahent, est ut di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7419 $tantia inter centra Sphærarum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7420 <p><I>Cas.</I> 1. Sit <I>AEBF</I> Sphæra, <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7421 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7422 centrum ejus, <I>P</I> corpu$culum at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7423 tractum, <I>PASB</I> axis Sphæræ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7424 centrum corpu$culi tran$iens, <I>EF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7425 ef</I> plana duo quibus Sphæra $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7426 catur, huic axi perpendicularia &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7427 hinc inde æqualiter di$tantia a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7428 centro Sphæræ; <I>G, g</I> inter$ectio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7429 nes planorum & axis, & <I>H</I> pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7430 ctum quodvis in plano <I>EF.</I> Pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7431 cti <I>H</I> vis centripeta in corpu$culum <I>P,</I> $ecundum lineam <I>PH</I> exer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7432 cita, e$t ut di$tantia <I>PH</I>; & (per Legum Corol. 2.) $ecundum li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7433 neam <I>PG,</I> $eu ver$us centrum <I>S,</I> ut longitudo <I>PG.</I> Igitur pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7434 ctorum omnium in plano <I>EF,</I> hoc e$t plani totius vis, qua corpu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7435 culum <I>P</I> trahitur ver$us centrum <I>S,</I> e$t ut numerus punctorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7436 ductus in di$tantiam <I>PG:</I> id e$t, ut contentum $ub plano ip$o <I>EF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7437 & di$tantia illa <I>PG.</I> Et $imiliter vis plani <I>ef,</I> qua corpu$culum <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7438 <pb n=181>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7439 trahitur ver$us centrum <I>S,</I> e$t ut planum illud ductum in di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7440 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7441 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7442 $uam <I>Pg,</I> $ive ut huic æquale planum <I>EF</I> ductum in di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7443 illam <I>Pg</I>; & $umma virium plani utriu$que ut planum <I>EF</I> duc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7444 tum in $ummam di$tantiarum <I>PG+Pg,</I> id e$t, ut planum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7445 ductum in duplam centri & corpu$culi di$tantiam <I>PS,</I> hoc e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7446 duplum planum <I>EF</I> ductum in di$tantiam <I>PS,</I> vel ut $umma æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7447 qualium planorum <I>EF+ef</I> ducta in di$tantiam eandem. Et $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7448 mili argumento, vires omnium planorum in Sphæra tota, hinc in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7449 de æqualiter a centro Sphæræ di$tantium, $unt ut $umma planorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7450 ducta in di$tantiam <I>PS,</I> hoc e$t, ut Sphæra tota ducta in di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7451 tiam centri $ui <I>S</I> a corpu$culo <I>P. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7452 <p><I>Cas.</I> 2. Trahat jam corpu$culum <I>P</I> Sphæram <I>AEBF.</I> Et eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7453 dem argumento probabitur quod vis, qua Sphæra illa trahitur, erit:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7454 ut di$tantia <I>PS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7455 <p><I>Cas.</I> 3. Componatur jam Sphæra altera ex corpu$culis innume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7456 ris <I>P</I>; & quoniam vis; qua corpu$culum unumquodque trahitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7457 e$t ut di$tantia corpu$culi a centro Sphæræ primæ ducta in Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7458 ram eandem, atque adeo eadem e$t ac $i prodiret tota de corpu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7459 culo unico in centro Sphæræ; vis tota qua corpu$cula omnia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7460 Sphæra $ecunda trahuntur, hoc e$t, qua Sphæra illa tota trahitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7461 eadem erit ac $i Sphæra illa traheretur vi prodeunte de corpu$culo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7462 unico in centro Sphæræ primæ, & propterea proportionalis e$t di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7463 $tantiæ inter centra Sphærarum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7464 <p><I>Cas.</I> 4. Trahant Sphæræ $e mutuo, & vis geminata proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7465 nem priorem $ervabit. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7466 <p><I>Cas.</I> 5. Locetur jam corpu$culum <I>p</I> intra Sphæram <I>AEBF</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7467 quoniam vis plani <I>ef</I> in corpu$culum e$t ut contentum $ub plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7468 illo & di$tantia <I>pg</I>; & vis contraria plani <I>EF</I> ut contentum $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7469 plano illo & di$tantia <I>pG</I>; erit vis ex utraque compo$ita ut diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7470 rentia contentorum, hoc e$t, ut $umma æqualium planorum ducta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7471 in $emi$$em differentiæ di$tantiarum, id e$t, ut $umma illa ducta in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7472 <I>pS</I> di$tantiam corpu$culi a centro Sphæræ. Et $imili argumento,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7473 attractio planorum omnium <I>EF, ef</I> in Sphæra tota, hoc e$t, at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7474 tractio Sphæræ totius, e$t ut $umma planorum omnium, $eu Sphæra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7475 tota, ducta in <I>pS</I> di$tantiam corpu$culi a centro Sphæræ. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7476 <p><I>Cas.</I> 6. Et $i ex corpu$culis innumeris <I>p</I> componatur Sphæra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7477 nova, intra Sphæram priorem <I>AEBF</I> $ita; probabitur ut prius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7478 quod attractio, $ive $implex Sphæræ unius in alteram, $ive mutua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7479 utriu$que in $e invicem, erit ut di$tantia centrorum <I>pS. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7480 <pb n=182>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7481 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7482 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7483 <C>PROPOSITIO LXXVIII. THEOREMA XXXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7484 <p><I>Si Sphæræ in progre$$u a centro ad circumferentiam $int utcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7485 di$$imilares & inæquabiles, in progre$$u vero per circuitum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7486 datam omnem a centro di$tantiam $int undique $imilares; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7487 vis attractiva puncti cuju$que $it ut di$tantia corporis attracti:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7488 dico quod vis tota qua huju$modi Sphæræ duæ $e mutuo trahunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7489 $it proportionalis di$tantiæ inter centra Sphærarum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7490 <p>Demon$tratur ex Propo$itione præcedente, eodem modo quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7491 Propo$itio LXXVI ex Propo$itione LXXV demon$trata fuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7492 <p><I>Corol.</I> Quæ $uperius in Propo$itionibus X & LXIV de motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7493 corporum circa centra Conicarum Sectionum demon$trata $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7494 valent ubi attractiones omnes fiunt vi Corporum Sphæricorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7495 conditionis jam de$criptæ, $untque corpora attracta Sphæræ con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7496 ditionis eju$dem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7497 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7498 <p>Attractionum Ca$us duos in$igniores jam dedi expo$itos; nimi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7499 rum ubi Vires centripetæ decre$cunt in duplicata di$tantiarum ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7500 tione, vel cre$cunt in di$tantiarum ratione $implici; efficientes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7501 in utroque Ca$u ut corpora gyrentur in Conicis Sectionibus, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7502 componentes corporum Sphæricorum Vires centripetas eadem Lege,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7503 in rece$$u a centro, decre$centes vel cre$centes cum $eip$is: Quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7504 e$t notatu dignum. Ca$us cæteros, qui conclu$iones minus ele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7505 gantes exhibent, $igillatim percurrere longum e$$et. Malim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7506 cunctos methodo generali $imul comprehendere ac determinare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7507 ut $equitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7508 <C>LEMMA XXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7509 <p><I>Si de$cribantur centro</I> S <I>circulus quilibet</I> AEB, <I>& centro</I> P <I>cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7510 culi duo</I> EF, ef, <I>$ecantes priorem in</I> E, e, <I>lineamque</I> PS <I>in</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7511 F, f; <I>& ad</I> PS <I>demittantur perpendicula</I> ED, ed: <I>dico quod,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7512 fi di$tantia arcuum</I> EF, ef <I>in infinitum minui intelligatur, ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7513 tio ultima lineæ evane$centis</I> Dd <I>ad lineam evane$centem</I> Ff
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7514 <I>ea $it, quæ lineæ</I> PE <I>ad lineam</I> PS.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7515 <pb n=183>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7516 <p>Nam $i linea <I>Pe</I> $ecet arcum <I>EF</I> in <I>q</I>; & recta <I>Ee,</I> quæ cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7517 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7518 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7519 arcu evane$cente <I>Ee</I> coincidit, producta occurrat rectæ <I>PS</I> in <I>T</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7520 & ab <I>S</I> demittatur in <I>PE</I> normalis <I>SG:</I> ob $imilia triangula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7521 <I>DTE, dTe, DES</I>; erit <I>Dd</I> ad <I>Ee,</I> ut <I>DT</I> ad <I>TE,</I> $eu <I>DE</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7522 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7523 <I>ES</I>; & ob triangula <I>Eeq, ESG</I> (per Lem. VIII, & Corol. 3.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7524 Lem. VII) $imilia, erit <I>Ee</I> ad <I>eq</I> $eu <I>Ff,</I> ut <I>ES</I> ad <I>SG</I>; & ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7525 æquo, <I>Dd</I> ad <I>Ff</I> ut <I>DE</I> ad <I>SG</I>; hoc e$t (ob $imilia triangula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7526 <I>PDE, PGS</I>) ut <I>PE</I> ad <I>PS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7527 <C>PROPOSITIO LXXIX. THEOREMA XXXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7528 <p><I>Si $uperficies ob latitudinem infinite diminutam jamjam evane$cens</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7529 EF fe, <I>convolutione $ui circa axem</I> PS, <I>de$cribat $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7530 Sphæricum concavo convexum, ad cujus particulas $ingulas æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7531 les tendant æquales vires centripetæ: dico quod Vis, qua $oli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7532 dum illud trahit corpu$culum $itum in</I> P, <I>est in ratione compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7533 ta ex ratione $olidi</I> DE<I>q</I>XFf <I>& ratione vis qua particula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7534 data in loco</I> Ff <I>traheret idem corpu$culum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7535 <p>Nam $i primo con$ideremus vim $uperficiei Sphæricæ <I>FE,</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7536 convolutione arcus <I>FE</I> generatur, & a linea <I>de</I> ubivis $ecatur in <I>r</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7537 erit $uperficiei pars annularis, convolutione arcus <I>rE</I> genita, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7538 lineola <I>Dd,</I> manente Sphæræ radio <I>PE,</I> (uti demon$travit <I>Ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7539 chimedes</I> in Lib. de <I>Sphæra</I> & <I>Cylindro.</I>) Et hujus vis $ecundum li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7540 neas <I>PE</I> vel <I>Pr</I> undique in $uperficie conica $itas exercita, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7541 hæc ip$a $uperficiei pars annularis; hoc e$t, ut lineola <I>Dd</I> vel,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7542 quod perinde e$t, ut rectangulum $ub dato Sphæræ radio <I>PE</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7543 <pb n=184>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7544 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7545 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7546 lineola illa <I>Dd:</I> at $ecundum lineam <I>PS</I> ad centrum <I>S</I> tendentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7547 minor, in ratione <I>PD</I> ad <I>PE,</I> adeoque ut <I>PDXDd.</I> Dividi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7548 jam intelligatur linea <I>DF</I> in particulas innumeras æquales, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7549 $ingulæ nominentur <I>Dd</I>; & $uperficies <I>FE</I> dividetur in totidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7550 æquales annulos, quorum vires erunt ut $umma omnium <I>PDXDd,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7551 hoc e$t, ut 1/2 <I>PFq</I>-1/2<I>PDq,</I> adeoque ut <I>DE quad.</I> Ducatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7552 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7553 jam $uperficies <I>FE</I> in altitudinem <I>Ef</I>; & fiet $olidi <I>EFfe</I> vis ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7554 ercita in corpu$culum <I>P</I> ut <I>DEqXFf:</I> puta $i detur vis quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7555 particula aliqua data <I>Ff</I> in di$tantia <I>PF</I> exercet in corpu$culum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7556 <I>P.</I> At $i vis illa non detur, fiet vis $olidi <I>EFfe</I> ut $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7557 <I>DEqXFf</I> & vis illa non data conjunctim. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7558 <C>PROPOSITIO LXXX. THEOREMA XL.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7559 <p><I>Si ad Sphæræ alicujus</I> ABE, <I>centro</I> S <I>de$criptæ, particulas $ingu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7560 las æquales tendant æquales vires centripetæ, & ad Sphæræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7561 axem</I> AB, <I>in quo corpu$culum aliquod</I> P <I>locatur, erigantur de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7562 punctis $ingulis</I> D <I>perpendicula</I> DE, <I>Sphæræ occurrentia in</I> E,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7563 <I>& in ip$is capiantur longitudines</I> DN, <I>quæ $int ut quantitas</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7564 (DE<I>q</I>XPS/PE) <I>& vis quam Sphæræ particula $ita in axe ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7565 $tantiam</I> PE <I>exercet in corpu$culum</I> P <I>conjunctim: dico quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7566 Vis tota, qua corpu$culum</I> P <I>trahitur ver$us Sphæram, est ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7567 area comprehen$a $ub axe Sphæræ</I> AB <I>& linea curva</I> ANB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7568 <I>quam punctum</I> N <I>perpetuo tangit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7569 <pb n=185>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7570 <p>Etenim $tantibus quæ in Lemmate & Theoremate novi$$imo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7571 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7572 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7573 con$tructa $unt, concipe axem Sphæræ <I>AB</I> dividi in particulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7574 innumeras æquales <I>Dd,</I> & Sphæram totam dividi in totidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7575 laminas Sphæricas concavo-convexas <I>EFfe</I>; & erigatur perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7576 diculum <I>dn.</I> Per Theorema $uperius, vis qua lamina <I>EFfe</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7577 trahit corpu$culum <I>P</I> e$t ut <I>DEqXFf</I> & vis particulæ unius ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7578 di$tantiam <I>PE</I> vel <I>PF</I> exercita conjunctim. E$t autem per Lem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7579 ma novi$$imum, <I>Dd</I> ad <I>Ff</I> ut <I>PE</I> ad <I>PS,</I> & inde <I>Ff</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7580 (<I>PSXDd/PE</I>); & <I>DEqXFf</I> æquale <I>Dd</I> in (<I>DEqXPS/PE</I>), & propter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7581 ea vis laminæ <I>EFfe</I> e$t ut <I>Dd</I> in (<I>DEqXPS/PE</I>) & vis particulæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7582 di$tantiam <I>PF</I> exercita conjunctim, hoc e$t (ex Hypothe$i) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7583 <I>DNXDd,</I> $eu area evane$cens <I>DNnd.</I> Sunt igitur laminarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7584 omnium vires in corpus <I>P</I> exercitæ, ut areæ omnes <I>DNnd,</I> hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7585 e$t, Sphæræ vis tota ut area tota <I>ABNA. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7586 <p><I>Corol.</I> 1. Hinc $i vis centripeta, ad particulas $ingulas tendens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7587 eadem $emper maneat in omnibus di$tantiis, & fiat <I>DN</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7588 (<I>DEqXPS/PE</I>): erit vis tota qua corpu$culum a Sphæra attrahitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7589 ut area <I>ABNA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7590 <p><I>Corol.</I> 2. Si particularum vis centripeta $it reciproce ut di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7591 corpu$culi a $e attracti, & fiat <I>DN</I> ut (<I>DEqXPS/PEq</I>): erit vis qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7592 corpu$culum <I>P</I> a Sphæra tota attrahitur ut area <I>ABNA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7593 <p><I>Corol.</I> 3. Si particularum vis centripeta $it reciproce ut cubus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7594 $tantiæ corpu$culi a $e attracti, & fiat <I>DN</I> ut (<I>DEqXPS/PEqq</I>): erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7595 vis qua corpu$culum a tota Sphæra attrahitur ut area <I>ABNA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7596 <p><I>Corol.</I> 4. Et univer$aliter $i vis centripeta ad $ingulas Sphæræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7597 particulas tendens ponatur e$$e reciproce ut quantitas V, fiat au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7598 tem <I>DN</I> ut (<I>DEqXPS/PEXV</I>); erit vis qua corpu$culum a Sphæra tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7599 attrahitur ut area <I>ABNA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7600 <pb n=186>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7601 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7602 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7603 <C>PROPOSITIO LXXXI. PROBLEMA XLI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7604 <C><I>Stantibus jam po$itis, men$uranda est Area</I> ABNA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7605 <p>A puncto <I>P</I> ducatur recta <I>PH</I> Sphæram tangens in <I>H,</I> & ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7606 axem <I>PAB</I> demi$$a normali <I>HI,</I> bi$ecetur <I>PI</I> in <I>L;</I> & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7607 (per Prop. 12, Lib. 2. Elem.) <I>PEq</I> æquale <I>PSq + SEq</I> +
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7608 2<I>PSD.</I> E$t autem <I>SEq</I> $eu <I>SHq</I> (ob $imilitudinem triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7609 lorum <I>SPH, SHI</I>) æquale rectangulo <I>PSI.</I> Ergo <I>PEq</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7610 e$t contento $ub <I>PS</I> & <I>PS+SI</I>+2<I>SD,</I> hoc e$t, $ub <I>PS</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7611 2<I>LS</I>+2<I>SD,</I> id e$t, $ub <I>PS</I> & 2<I>LD.</I> Porro <I>DE quad</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7612 e$t <I>SEq-SDq,</I> $eu <I>SEq - LSq</I>+2<I>SLD-LDq,</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7613 2<I>SLD-LDq-ALB.</I> Nam <I>LSq-SEq</I> $eu <I>LSq-SAq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7614 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7615 (per Prop. 6, Lib. 2. Elem.) æquatur rectangulo <I>ALB.</I> Scriba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7616 tur itaque 2<I>SLD - LDq - ALB</I> pro <I>DEq</I>; & quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7617 (<I>DEqXPS/PEXV</I>), quæ $ecundum Corollarium quartum Propo$itionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7618 præcedentis e$t ut longitudo ordinatim applicatæ <I>DN,</I> re$olvet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7619 $e$e in tres partes (2<I>SLDXPS/PE</I>XV)-(<I>LDqXPS/PE</I>XV)-(<I>ALBXPS/PE</I>XV):
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7620 ubi $i pro V $cribatur ratio inver$a vis centripetæ, & pro <I>PE</I> me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7621 dium proportionale inter <I>PS</I> & 2<I>LD</I>; tres illæ partes evadent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7622 ordinatim applicatæ linearum totidem curvarum, quarum areæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7623 Methodos vulgatas innote$cunt. <I>Q. E. F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7624 <pb n=187>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7625 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7626 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7627 <p><I>Exempl.</I> 1. Si vis centripeta ad $ingulas Sphæræ particulas ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7628 dens $it reciproce ut di$tantia; pro V $cribe di$tantiam <I>PE</I>; dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7629 2<I>PSXLD</I> pro <I>PEq,</I> & fiet <I>DN</I> ut <I>SL-1/2LD-(ALB/2LD).</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7630 Pone <I>DN</I> æqualem duplo ejus 2<I>SL-LD-(ALB/LD)</I>: & ordinatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7631 pars data 2<I>SL</I> ducta in longitudinem <I>AB</I> de$cribet aream rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7632 gulam 2<I>SLXAB</I>; & pars indefinita <I>LD</I> ducta normaliter in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7633 eandem longitudinem per motum continuum, ea lege ut inter mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7634 vendum cre$cendo vel decre$cendo æquetur $emper longitudini
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7635 <I>LD,</I> de$cribet aream (<I>LBq-LAq</I>/2), id e$t, aream <I>SLXAB</I>; quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7636 $ubducta de area priore 2<I>SLXAB</I> relinquit aream <I>SLXAB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7637 Pars autem tertia (<I>ALB/LD</I>) ducta itidem per motum localem norma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7638 liter in eandem longitudinem, de$cribet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7639 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7640 aream Hyperbolicam; quæ $ubducta de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7641 area <I>SLXAB</I> relinquet aream quæ$itam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7642 <I>ABNA.</I> Unde talis emergit Proble-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7643 matis con$tructio. Ad puncta <I>L, A, B</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7644 erige perpendicula <I>Ll, Aa, Bb,</I> quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7645 <I>Aa</I> ip$i <I>LB,</I> & <I>Bb</I> ip$i <I>LA</I> æquetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7646 A$ymptotis <I>Ll, LB,</I> per puncta <I>a, b</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7647 $cribatur Hyperbola <I>ab.</I> Et acta chor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7648 da <I>ba</I> claudet aream <I>aba</I> areæ quæ$itæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7649 <I>ABNA</I> æqualem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7650 <p><I>Exempl.</I> 2. Si vis centripeta ad $ingulas Sphæræ particulas ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7651 dens $it reciproce ut cubus di$tantiæ, vel (quod perinde e$t) ut cubus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7652 ille applicatus ad planum quodvis datum; $cribe (<I>PEcub/2ASq</I>) pro V,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7653 dein 2<I>PSXLD</I> pro <I>PEq</I>; & fiet <I>DN</I> ut <I>(SLXASq/PSXLD)-(ASq/2PS)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7654 -(ALBXASq/2PSXLDq),</I> id e$t (ob continue proportionales <I>PS, AS, SI</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7655 ut <I>(LSI/LD)-1/2SI-(ALBXSI/2LDq).</I> Si ducantur hujus partes tres
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7656 in longitudinem <I>AB,</I> prima (<I>LSI/LD</I>) generabit aream Hyper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7657 <pb n=188>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7658 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7659 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7660 bolicam; $ecunda 1/2<I>SI</I> aream 1/2<I>ABXSI</I>; tertia (<I>ALBXSI/2LDq</I>) are-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7661 am <I>(ALBXSI/2LA)-(ALBXSI/2LB),</I> id e$t 1/2<I>ABXSI.</I> De prima $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7662 ducatur $umma $ecundæ & tertiæ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7663 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7664 manebit area quæ$ita <I>ABNA.</I> Un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7665 de talis emergit Problematis con$tru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7666 ctio. Ad puncta <I>L, A, S, B</I> erige
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7667 perpendicula <I>Ll, Aa, Ss, Bb,</I> quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7668 rum <I>Ss</I> ip$i <I>SI</I> æquetur, perque pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7669 ctum <I>s</I> A$ymptotis <I>Ll, LB</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7670 batur Hyperbola <I>asb</I> occurrens per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7671 pendiculis <I>Aa, Bb</I> in <I>a</I> & <I>b</I>; & rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7672 angulum 2<I>ASI</I> $ubductum de area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7673 Hyperbolica <I>AasbB</I> reliquet aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7674 quæ$itam <I>ABNA.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7675 <p><I>Exempl.</I> 3. Si Vis centripeta, ad $ingulas Sphæræ particulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7676 tendens, decre$cit in quadruplicata ratione di$tantiæ a particulis;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7677 $cribe (<I>PEqq/2AScub</I>) pro V, dein √2<I>PSXLD</I> pro <I>PE,</I> & fiet <I>DN</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7678 <I>(SIqXSL/√2SI)X(1/√LDc),-(SIq/2√2SI)X(1/√LD),-(SIqXALB/2√2SI)X(1/√LDqc).</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7679 Cujus tres partes ductæ in longitudinem <I>AB,</I> producunt areas tot-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7680 idem, <I>viz. (2SIqXSL/√2SI</I>) in <I>(1/√LA)-(1/√LB); (SIq/√2SI)</I> in <I>√LB-√LA</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7681 & (<I>SIqXALB/3√2SI</I>) in <I>(1/√LAcub)-(1/√LBcub).</I> Et hæ po$t debitam redu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7682 ctionem fiunt <I>(2SIqXSL/LI), SIq,</I> & <I>SIq+(2SIcub/3LI).</I> Hæ vero, $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7683 ctis po$terioribus de priore, evadunt (<I>4SIcub/3LI</I>). Igitur vis tota, qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7684 corpu$culum <I>P</I> in Sphæræ centrum trahitur, e$t ut <I>(SIcub/PI),</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7685 reciproce ut <I>PS cubXPI. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7686 <p>Eadem Methodo determinari pote$t Attractio corpu$culi $iti in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7687 tra Sphæram, $ed expeditius per Theorema $equens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7688 <pb n=189>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7689 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7690 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7691 <C>PROPOSITIO LXXXII. THEOREMA XLI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7692 <p><I>In Sphæra centro</I> S <I>intervallo</I> SA <I>de$cripta, $i capiantur</I> SI, SA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7693 SP <I>continue proportionales: dico quod corpu$culi intra Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7694 ram in loco quovis</I> I <I>attractio est ad attractionem ip$ius extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7695 Sphæram in loco</I> P, <I>in ratione compo$ita ex $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7696 di$tantiarum a centro</I> IS, PS <I>& $ubduplicata ratione virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7697 centripetarum, in locis illis</I> P <I>&</I> I, <I>ad centrum tendentium.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7698 <p>Ut $i vires centripetæ particularum Sphæræ $int reciproce ut di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7699 $tantiæ corpu$culi a $e attracti; vis, qua corpu$culum $itum in <I>I</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7700 trahitur a Sphæra tota, erit ad vim qua trahitur in <I>P,</I> in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7701 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7702 compo$ita ex $ubduplicata ratione di$tantiæ <I>SI</I> ad di$tantiam <I>SP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7703 & ratione $ubduplicata vis centripetæ in loco <I>I,</I> a particula aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7704 in centro oriundæ, ad vim centripetam in loco <I>P</I> ab eadem in cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7705 tro particula oriundam, id e$t, ratione $ubduplicata di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7706 <I>SI, SP</I> ad invicem reciproce. Hæ duæ rationes $ubduplicatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7707 componunt rationem æqualitatis, & propterea attractiones in <I>I</I> & <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7708 a Sphæra tota factæ æquantur. Simili computo, $i vires particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7709 larum Sphæræ $unt reciproce in duplicata ratione di$tantiarum, col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7710 ligetur quod attractio in <I>I</I> $it ad attractionem in <I>P,</I> ut di$tantia <I>SP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7711 ad Sphæræ $emidiametrum <I>SA:</I> Si vires illæ $unt reciproce in tr-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7712 plicata ratione di$tantiarum, attractiones in <I>I</I> & <I>P</I> erunt ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7713 <pb n=190>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7714 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7715 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7716 cem ut <I>SP quad</I> ad <I>SA quad:</I> Si in quadruplicata, ut <I>SP cub</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7717 <I>SA cub.</I> Unde cum attractio in <I>P,</I> in hoc ultimo ca$u, inventa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7718 fuit reciproce ut <I>PS cubXPI,</I> attractio in <I>I</I> erit reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7719 <I>SA cubXPI,</I> id e$t (ob datum <I>SA cub</I>) reciproce ut <I>PI.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7720 $imilis e$t progre$$us in infinitum. Theorema vero $ic demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7721 $tratur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7722 <p>Stantibus jam ante con$tructis, & exi$tente corpore in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7723 quovis <I>P,</I> ordinatim applicata <I>DN</I> inventa fuit ut (<I>DEqXPS/PEXV</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7724 Ergo $i agatur <I>IE,</I> ordinata illa ad alium quemvis locum <I>I,</I> mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7725 tatis mutandis, evadet ut (<I>DEqXIS/IEXV</I>). Pone vires centripetas, e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7726 Sphæræ puncto quovis <I>E</I> manantes, e$$e ad invicem in di$tantiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7727 <I>IE, PE,</I> ut <I>PE<SUP>n</SUP></I> ad <I>IE<SUP>n</SUP>,</I> (ubi numerus <I>n</I> de$ignet indicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7728 pote$tatum <I>PE</I> & <I>IE</I>) & ordinatæ illæ fient ut (<I>DEqXPS/PEXPE<SUP>n</SUP></I>) &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7729 (<I>DEqXIS/IEXIE<SUP>n</SUP></I>), quarum ratio ad invicem e$t ut <I>PSXIEXIE<SUP>n</SUP></I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7730 <I>ISXPEXPE<SUP>n</SUP>.</I> Quoniam ob $imilia triangula <I>SPE, SEI,</I> fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7731 <I>IE</I> ad <I>PE</I> ut <I>IS</I> ad <I>SE</I> vel <I>SA</I>; pro ratione <I>IE</I> ad <I>PE</I> $cribe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7732 rationem <I>IS</I> ad <I>SA</I>; & ordinatarum ratio evadet <I>PSXIE<SUP>n</SUP></I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7733 <I>SAXPE<SUP>n</SUP>.</I> Sed <I>PS</I> ad <I>SA</I> $ubduplicata e$t ratio di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7734 <I>PS, SI</I>; & <I>IE<SUP>n</SUP></I> ad <I>PE<SUP>n</SUP></I> $ubduplicata e$t ratio virium in di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7735 tiis <I>PS, IS.</I> Ergo ordinatæ, & propterea areæ quas ordinatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7736 de$cribunt, hi$que proportionales attractiones, $unt in ratione com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7737 po$ita ex $ubduplicatis illis rationibus. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7738 <C>PROPOSITIO LXXXIII. PROBLEMA XLII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7739 <C><I>Invenire vim qua corpu$culum in centro Sphæræ locatum ad ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7740 Segmentum quodcunque attrahitur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7741 <p>Sit <I>P</I> corpus in centro Sphæræ, & <I>RBSD</I> Segmentum ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7742 plano <I>RDS</I> & $uperficie Sphærica <I>RBS</I> contentum. Superfi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7743 cie Sphærica <I>EFG</I> centro <I>P</I> de$cripta $ecetur <I>DB</I> in <I>F,</I> ac di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7744 $tinguatur Segmentum in partes <I>BREFGS, FEDG.</I> Sit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7745 autem $uperficies illa non pure Mathematica, $ed Phy$ica, pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7746 funditatem habens quam minimam. Nominetur i$ta profundi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7747 <pb n=191>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7748 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7749 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7750 tas O, & erit hæc $uperficies (per de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7751 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7752 mon$trata <I>Archimedis</I>) ut <I>PFXDFXO.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7753 Ponamus præterea vires attractivas par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7754 ticularum Sphæræ e$$e reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7755 di$tantiarum dignitas illa cujus Index
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7756 e$t <I>n</I>; & vis qua $uperficies <I>FE</I> trahit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7757 corpus <I>P</I> erit ut (<I>DFXO/PF<SUP>n-1</SUP></I>). Huic pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7758 portionale $it perpendiculum <I>FN</I> duc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7759 tum in O; & area curvilinea <I>BDLIB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7760 quam ordinatim applicata <I>FN</I> in lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7761 gitudinem <I>DB</I> per motum continuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7762 ducta de$cribit, erit ut vis tota qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7763 Segmentum totum <I>RBSD</I> trahit corpus <I>P. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7764 <C>PROPOSITIO LXXXIV. PROBLEMA XLIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7765 <C><I>Invenire vim qua corpu$culum, extra centrum Sphæræ in axe Seg-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7766 menti cuju$vis locatum, attrahitur ab eodem Segmento.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7767 <p>A Segmento <I>EBK</I> trahatur corpus <I>P</I> (Vide Fig. Prop. LXXIX,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7768 LXXX, LXXXI) in ejus axe <I>ADB</I> locatum. Centro <I>P</I> interval-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7769 lo <I>PE</I> de$cribatur $uperficies Sphærica <I>EFK,</I> qua di$tinguatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7770 Segmentum in partes duas <I>EBKF</I> & <I>EFKD.</I> Quæratur vis par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7771 tis prioris per Prop. LXXXI, & vis partis po$terioris per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7772 LXXXIII; & $umma virium erit vis Segmenti totius <I>EBKD.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7773 Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7774 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7775 <p>Explicatis attractionibus corporum Sphæricorum, jam pergere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7776 liceret ad Leges attractionum aliorum quorundam ex particulis at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7777 tractivis $imiliter con$tantium corporum; $ed i$ta particulatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7778 tractare minus ad in$titutum $pectat. Suffecerit Propo$itiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7779 qua$dam generaliores de viribus huju$modi corporum, deque mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7780 tibus inde oriundis, ob earum in rebus Philo$ophicis aliqualem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7781 u$um, $ubjungere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7782 <pb n=192>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7783 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7784 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7785 <C>SECTIO XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7786 <C><I>De Corporum non Sphæricorum viribus attactivis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7787 <C>PROPOSITIO LXXXV. THEOREMA XLII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7788 <p><I>Si corporis attracti, ubi attrahenti contiguum est, attractio longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7789 fortior $it, quam cum vel minimo intervallo $eparantur ab in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7790 vicem: vires particularum trahentis, in rece$$u corporis attrac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7791 ti, decre$cunt in ratione plu$quam duplicata di$tantiarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7792 particulis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7793 <p>Nam $i vires decre$cunt in ratione duplicata di$tantiarum a par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7794 ticulis; attractio ver$us corpus Sphæricum, propterea quod (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7795 Prop. LXXIV) $it reciproce ut quadratum di$tantiæ attracti corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7796 ris a centro Sphæræ, haud $en$ibiliter augebitur ex contactu; atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7797 adhuc minus augebitur ex contactu, $i attractio in rece$$u corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7798 attracti decre$cat in ratione minore. Patet igitur Propo$itio de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7799 Sphæris attractivis. Et par e$t ratio Orbium Sphæricorum conca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7800 vorum corpora externa trahentium. Et multo magis res con$tat in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7801 Orbibus corpora interius con$tituta trahentibus, cum attractiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7802 pa$$im per Orbium cavitates ab attractionibus contrariis (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7803 LXX) tollantur, ideoque vel in ip$o contactu nullæ $unt. Quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7804 $i Sphæris hi$ce Orbibu$que Sphæricis partes quælibet a loco con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7805 tactus remotæ auferantur, & partes novæ ubivis addantur: mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7806 tari po$$unt figuræ horum corporum attractivorum pro lubitu, nec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7807 tamen partes additæ vel $ubductæ, cum $int a loco contactus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7808 motæ, augebunt notabiliter attractionis exce$$um qui ex contactu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7809 oritur. Con$tat igitur Propo$itio de corporibus Figurarum om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7810 nium. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7811 <pb n=193>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7812 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7813 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7814 <C>PROPOSITIO LXXXVI. THEOREMA XLIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7815 <p><I>Si particularum, ex quibus corpus attractivum componitur, vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7816 in rece$$u corporis attracti decre$cunt in triplicata vel plu$quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7817 triplicata ratione di$tantiarum a particulis: attractio longe for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7818 tior erit in contactu, quam cum attrahens & attractum inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7819 vallo vel minimo $eparantur ab invicem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7820 <p>Nam attractionem in acce$$u attracti corpu$culi ad huju$modi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7821 Sphæram trahentem augeri in infinitum, con$tat per $olutionem Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7822 blematis XLI, in Exemplo $ecundo ac tertio exhibitam. Idem, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7823 Exempla illa & Theorema XLI inter $e collata, facile colligitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7824 de attractionibus corporum ver$us Orbes concavo-convexos, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7825 corpora attracta collocentur extra Orbes, $ive intra in eorum cavi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7826 tatibus. Sed & addendo vel auferendo his Sphæris & Orbibus ubi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7827 vis extra locum contactus materiam quamlibet attractivam, eo ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7828 corpora attractiva induant figuram quamvis a$$ignatam, con$tabit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7829 Propo$itio de corporibus univer$is. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7830 <C>PROPOSITIO LXXXVII. THEOREMA XLIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7831 <p><I>Si corpora duo $ibi invicem $imilia, & ex materia æqualiter attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7832 ctiva con$tantia, $eor$im attrahant corpu$cula $ibi ip$is proporti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7833 onalia & ad $e $imiliter po$ita: attractiones acceleratrices cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7834 pu$culorum in corpora tota erunt ut attractiones acceleratrices
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7835 corpu$culorum in eorum particulas totis proportionales & in to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7836 tis $imiliter po$itas.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7837 <p>Nam $i corpora di$tinguantur in particulas, quæ $int totis pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7838 portionales & in totis $imiliter $itæ; erit, ut attractio in particulam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7839 quamlibet unius corporis ad attractionem in particulam corre$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7840 dentem in corpore altero, ita attractiones in particulas $ingulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7841 primi corporis ad attractiones in alterius particulas $ingulas corre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7842 pondentes; & componendo, ita attractio in totum primum corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7843 ad attractionem in totum $ecundum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7844 <p><I>Corol.</I> 1. Ergo $i vires attractivæ particularum, augendo di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7845 tias corpu$culorum attractorum, decre$cant in ratione dignitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7846 <pb n=194>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7847 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7848 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7849 cuju$vis di$tantiarum: attractiones acceleratrices in corpora tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7850 erunt ut corpora directe & di$tantiarum dignitates illæ inver$e. Ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7851 $i vires particularum decre$cant in ratione duplicata di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7852 a corpu$culis attractis, corpora autem $int ut <I>A cub.</I> & <I>B cub.</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7853 eoque tum corporum latera cubica, tum corpu$culorum attracto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7854 rum di$tantiæ a corporibus, ut <I>A</I> & <I>B:</I> attractiones acceleratri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7855 ces in corpora erunt ut (<I>Acub./Aquad.</I>) & (<I>Bcub./Bquad.</I>) id e$t, ut corporum la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7856 tera illa cubica <I>A</I> & <I>B.</I> Si vires particularum decre$cant in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7857 tione triplicata di$tantiarum a corpu$culis attractis; attractiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7858 acceleratrices in corpora tota erunt ut (<I>Acub./Acub.</I>) & (<I>Bcub./Bcub.</I>), id e$t, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7859 les. Si vires decre$cant in ratione quadruplicata; attractiones in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7860 corpora erunt ut (<I>Acub./Aqq.</I>) & (<I>Bcub./Bqq.</I>) id e$t, reciproce ut latera cubi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7861 ca <I>A</I> & <I>B.</I> Et $ic in cæteris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7862 <p><I>Corol.</I> 2. Unde vici$$im, ex viribus quibus corpora $imilia tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7863 hunt corpu$cula ad $e $imiliter po$ita, colligi pote$t ratio decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7864 menti virium particularum attractivarum in rece$$u corpu$culi at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7865 tracti; $i modo decrementum illud $it directe vel inver$e in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7866 aliqua di$tantiarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7867 <C>PROPOSITIO LXXXVIII. THEOREMA XLV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7868 <p><I>Si particularum æqualium Corporis cuju$cunque vires attractivæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7869 $int ut di$tantiæ locorum a particulis: vis corporis totius ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7870 det ad ip$ius centrum gravitatis; & eadem erit cum vi Globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7871 ex materia con$imili & æquali con$tantis & centrum habentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7872 in ejus centro gravitatis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7873 <p>Corporis <I>RSTV</I> particulæ <I>A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7874 B</I> trahant corpu$culum aliquod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7875 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7876 <I>Z</I> viribus quæ, $i particulæ æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7877 quantur inter $e, $int ut di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7878 tiæ <I>AZ, BZ</I>; $in particulæ $ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7879 tuantur inæquales, $int ut hæ par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7880 ticulæ in di$tantias $uas <I>AZ, BZ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7881 re$pective ductæ. Et exponan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7882 tur hæ vires per contenta illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7883 <I>AXAZ</I> & <I>BXBZ.</I> Jungatur <I>AB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7884 & $ecetur ea in <I>G</I> ut $it <I>AG</I> ad <I>BG</I> ut particula <I>B</I> ad particulam <I>A</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7885 <pb n=195>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7886 & erit <I>G</I> commune centrum gravitatis particularum <I>A</I> & <I>B.</I> Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7887 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7888 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7889 <I>AXAZ</I> (per Legum Corol.2.) re$olvitur in vires <I>AXGZ</I> & <I>AXAG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7890 & vis <I>BXBZ</I> in vires <I>BXGZ</I> & <I>BXBG.</I> Vires autem <I>AXAG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7891 & <I>BXBG,</I> ob proportionales <I>A</I> ad <I>B</I> & <I>BG</I> ad <I>AG,</I> æquantur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7892 adeoque cum dirigantur in partes contrarias, $e mutuo de$truunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7893 Re$tant vires <I>AXGZ</I> & <I>BXGZ.</I> Tendunt hæ ab Z ver$us cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7894 trum <I>G,</I> & vim &horbar;<I>A+BXGZ</I> componunt; hoc e$t, vim eandem ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7895 $i particulæ attractivæ <I>A</I> & <I>B</I> con$i$terent in eorum communi gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7896 vitatis centro <I>G,</I> Globum ibi componentes.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7897 <p>Eodem argumento, $i adjungatur particula tertia <I>C,</I> & compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7898 natur hujus vis cum vi &horbar;<I>A+BXGZ</I> tendente ad centrum <I>G</I>; vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7899 inde oriunda tendet ad commune centrum gravitatis Globi illius <I>G</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7900 & particulæ <I>C</I>; hoc e$t, ad commune centrum gravitatis trium par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7901 ticularum <I>A, B, C</I>; & eadem erit ac $i Globus & particula <I>C</I> con$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7902 $terent in centro illo communi, Globum majorem ibi componentes.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7903 Et $ic pergitur in infinitum. Eadem e$t igitur vis tota particula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7904 rum omnium corporis cuju$cunque <I>RSTV</I> ac $i corpus illud, $er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7905 vato gravitatis centro, figuram Globi indueret. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7906 <p><I>Corol.</I> Hinc motus corporis attracti <I>Z</I> idem erit ac $i corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7907 attrahens <I>RSTV</I> e$$et Sphæricum: & propterea $i corpus illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7908 attrahens vel quie$cat, vel progrediatur uniformiter in directum;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7909 corpus attractum movebitur in Ellip$i centrum habente in attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7910 hentis centro gravitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7911 <C>PROPOSITIO LXXXIX. THEOREMA XLVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7912 <p><I>Si Corpora $int plura ex particulis æqualibus con$tantia, quarum vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7913 res $unt ut di$tantiæ locorum a $ingulis: vis ex omnium viri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7914 bus compo$ita, qua corpu$culum quodcunque trahitur, tendet ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7915 trahentium commune centrum gravitatis, & eadem erit ac $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7916 trahentia illa, $ervato gravitatis centro communi, coirent & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7917 Globum formarentur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7918 <p>Demon$tratur eodem modo, atque Propo$itio $uperior.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7919 <p><I>Corol.</I> Ergo motus corporis attracti idem erit ac $i corpora tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7920 hentia, $ervato communi gravitatis centro, coirent & in Globum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7921 formarentur. Ideoque $i corporum trahentium commune gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7922 tis centrum vel quie$cit, vel progreditur uniformiter in linea recta:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7923 corpus attractum movebitur in Ellip$i, centrum habente in com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7924 muni illo trahentium centro gravitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7925 <pb n=196>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7926 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7927 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7928 <C>PROPOSITIO XC. PROBLEMA XLIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7929 <p><I>Si ad $ingula Circuli cuju$cunque puncta tendant vires æquales cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7930 tripetæ, decre$centes in quacunque di$tantiarum ratione<*> inve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7931 nire vim qua corpu$culum attrahitur ubivis po$itum in recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7932 quæ plano Circuli ad centrum ejus perpendiculariter in$i$tit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7933 <p>Centro <I>A</I> intervallo quovis <I>AD,</I> in plano cui recta <I>AP</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7934 pendicularis e$t, de$cribi intelligatur Circulus; & invenienda $it vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7935 qua corpu$culum quodvis <I>P</I> in eundem attrahitur. A Circuli puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7936 quovis <I>E</I> ad corpu$culum attractum <I>P</I> agatur recta <I>PE:</I> In re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7937 cta <I>PA</I> capiatur <I>PF</I> ip$i <I>PE</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7938 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7939 qualis, & erigatur normalis <I>FK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7940 quæ $it ut vis qua punctum <I>E</I> tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7941 hit corpu$culum <I>P.</I> Sitque <I>IKL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7942 curva linea quam punctum <I>K</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7943 petuo tangit. Occurrat eadem Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7944 culi plano in <I>L.</I> In <I>PA</I> capiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7945 <I>PH</I> æqualis <I>PD,</I> & erigatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7946 pendiculum <I>HI</I> curvæ prædictæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7947 occurrens in <I>I</I>; & erit corpu$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7948 culi <I>P</I> attractio in Circulum ut area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7949 <I>AHIL</I> ducta in altitudinem <I>AP.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7950 Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7951 <p>Etenim in <I>AE</I> capiatur linea quam minima <I>Ee.</I> Jungatur <I>Pe,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7952 & in <I>PE, PA</I> capiantur <I>PC, Pf</I> ip$i <I>Pe</I> æquales. Et quoniam vis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7953 qua annuli punctum quodvis <I>E</I> trahit ad $e corpus <I>P,</I> ponitur e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7954 ut <I>FK,</I> & inde vis qua punctum illud trahit corpus <I>P</I> ver$us <I>A</I> e$t ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7955 (<I>APXFK/PE</I>), & vis qua annulus totus trahit corpus <I>P</I> ver$us <I>A,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7956 annulus & (<I>APXFK/PE</I>) conjunctim; annulus autem i$te e$t ut rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7957 gulum $ub radio <I>AE</I> & latitudine <I>Ee,</I> & hoc rectangulum (ob pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7958 portionales <I>PE</I> & <I>AE, Ee</I> & <I>CE</I>) æquatur rectangulo <I>PEXCE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7959 $eu <I>PEXFf</I>; erit vis qua annulus i$te trahit corpus <I>P</I> ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7960 <I>A,</I> ut <I>PEXFf</I> & (<I>APXFK/PE</I>) conjunctim, id e$t, ut contentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7961 <I>FfXFKXAP,</I> $ive ut area <I>FKkf</I> ducta in <I>AP.</I> Et propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7962 $umma virium, quibus annuli omnes in Circulo, qui centro <I>A</I> & in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7963 <pb n=197>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7964 tervallo <I>AD</I> de$cribitur, trahunt corpus <I>P</I> ver$us <I>A,</I> e$t ut area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7965 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7966 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7967 tota <I>AHIKL</I> ducta in <I>AP. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7968 <p><I>Corol.</I> 1. Hinc $i vires punctorum decre$cunt in duplicata di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7969 $tantiarum ratione, hoc e$t, $i $it <I>FK</I> ut (1/<I>PFquad.</I>), atque adeo a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7970 rea <I>AHIKL</I> ut (1/<I>PA</I>-1/<I>PH</I>); erit attractio corpu$culi <I>P</I> in Circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7971 lum ut (1-<I>PA/PH</I>), id e$t, ut (<I>AH/PH</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7972 <p><I>Corol.</I> 2. Et univer$aliter, $i vires punctorum ad di$tantias D $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7973 reciproce ut di$tantiarum dignitas quælibet D<SUP><I>n</I></SUP>, hoc e$t, $i $it <I>FK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7974 ut (1/D<SUP><I>n</I></SUP>), adeoque area <I>AHIKL</I> ut (1/<I>PA<SUP>n-1</SUP></I>-1/<I>PH<SUP>n-1</SUP></I>); erit attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7975 ctio corpu$culi <I>P</I> in Circulum ut (1/<I>PA<SUP>n-2</SUP></I>-<I>PA/PH<SUP>n-1</SUP></I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7976 <p><I>Corol</I> 3. Et $i diameter Circuli augeatur in infinitum, & nume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7977 rus <I>n</I> $it unitate major; attractio corpu$culi <I>P</I> in planum totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7978 infinitum erit reciproce ut <I>PA<SUP>n-2</SUP>,</I> propterea quod terminus al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7979 ter (<I>PA/PH<SUP>n-1</SUP></I>) evane$cet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7980 <C>PROPOSITIO XCI. PROBLEMA XLV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7981 <p><I>Invenire attractionem corpu$culi $iti in axe Solidi rotundi, ad cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7982 puncta $ingula tendunt vires æquales centripetæ in quacunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7983 di$tantiarum ratione decre$centes.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7984 <p>In Solidum <I>ADEFG</I> tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7985 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7986 hatur corpu$culum <I>P,</I> $itum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7987 ejus axe <I>AB.</I> Circulo quoli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7988 bet <I>RFS</I> ad hunc axem per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7989 pendiculari $ecetur hoc Solidum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7990 & in ejus diametro <I>FS,</I> in pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7991 no aliquo <I>PALKB</I> per axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7992 tran$eunte, capiatur (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7993 XC) longitudo <I>FK</I> vi qua cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7994 pu$culum <I>P</I> in circulum illum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7995 attrahitur proportionalis. Tangat autem punctum <I>K</I> curvam line-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7996 am <I>LKI,</I> planis extimorum circulorum <I>AL</I> & <I>BI</I> occurrentem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7997 <I>L</I> & <I>I</I>; & erit attractio corpu$culi <I>P</I> in Solidum ut area <I>LABI.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7998 Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	7999 <pb n=198>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8000 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8001 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8002 <p><I>Corol.</I> 1. Unde $i Solidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8003 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8004 Cylindrus $it, parallelogrammo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8005 <I>ADEB</I> circa axem <I>AB</I> revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8006 luto de$criptus, & vires centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8007 petæ in $ingula ejus puncta ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8008 dentes $int reciproce ut quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8009 ta di$tantiarum a punctis: erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8010 attractio corpu$culi <I>P</I> in hunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8011 Cylindrum ut <I>AB-PE+PD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8012 Nam ordinatim applicata <I>FK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8013 (per Corol. 1. Prop. XC) erit ut 1-(<I>PF/PR</I>). Hujus pars 1 ducta in lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8014 gitudinem <I>AB,</I> de$cribit aream 1X<I>AB</I>; & pars altera (<I>PF/PR</I>) ducta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8015 in longitudinem <I>PB,</I> de$cribit aream 1 in &horbar;(<I>PE-AD</I>) (id quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8016 ex curvæ <I>LIK</I> quadratura facile o$tendi pote$t:) & $imiliter pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8017 eadem ducta in longitudinem <I>PA</I> de$cribit aream 1 in &horbar;(<I>PD-AD</I>),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8018 ductaque in ip$arum <I>PB, PA</I> differentiam <I>AB</I> de$cribit arearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8019 differentiam 1 in &horbar;(<I>PE-PD</I>). De contento primo 1X<I>AB</I> aufe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8020 ratur contentum po$tremum 1 in &horbar;(<I>PE-PD</I>), & re$tabit area <I>LABI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8021 æqualis 1 in &horbar;(<I>AB-PE+PD</I>). Ergo vis, huic areæ proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8022 lis, e$t ut <I>AB-PE+PD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8023 <p><I>Corol.</I> 2. Hinc etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8024 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8025 vis innote$cit qua Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8026 rois <I>AGBCD</I> attrahit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8027 corpus quodvis <I>P,</I> exte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8028 rius in axe $uo <I>AB</I> $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8029 tum. Sit <I>NKRM</I> Se-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8030 ctio Conica cujus ordi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8031 natim applicata <I>ER,</I> ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8032 <I>PE</I> perpendicularis, æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8033 quetur $emper longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8034 dini <I>PD,</I> quæ ducitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8035 ad punctum illud <I>D,</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8036 quo applicata i$ta Sphæroidem $ecat. A Sphæroidis verticibus <I>A, B</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8037 ad ejus axem <I>AB</I> erigantur perpendicula <I>AK, BM</I> ip$is <I>AP, BP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8038 æqualia re$pective, & propterea Sectioni Conicæ occurrentia in <I>K</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8039 & <I>M</I>; & jungatur <I>KM</I> auferens ab eadem $egmentum <I>KMRK.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8040 Sit autem Sphæroidis centrum <I>S</I> & $emidiameter maxima <I>SC:</I> & vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8041 <pb n=199>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8042 qua Sphærois trahit corpus <I>P</I> erit ad vim qua Sphæra, diametro <I>AB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8043 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8044 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8045 de$cripta, trahit idem corpus, ut (<I>ASXCSq-PSXKMRK/PSq+CSq-ASq</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8046 ad (<I>AS cub/3PS quad</I>). Et eodem computandi fundamento invenire licet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8047 vires $egmentorum Sphæroidis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8048 <p><I>Corol.</I> 3. Quod $i corpu$culum intra Sphæroidem, in data qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8049 vis eju$dem diametro, collocetur; attractio erit ut ip$ius di$tantia a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8050 centro. Id quod facilius colligetur hoc argumento. Sit <I>AGOF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8051 Sphærois attrahens, <I>S</I> centrum ejus & <I>P</I> corpus attractum. Per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8052 corpus illud <I>P</I> agantur tum $emidiameter <I>SPA,</I> tum rectæ duæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8053 quævis <I>DE, FG</I> Sphæroidi hinc inde occurrentes in <I>D</I> & <I>E, F</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8054 & <I>G:</I> Sintque <I>PCM, HLN</I> $uperficies Sphæroidum duarum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8055 teriorum, exteriori $imilium & concentricarum, quarum prior tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8056 eat per corpus <I>P</I> & $ecet rectas <I>DE</I> & <I>FG</I> in <I>B</I> & <I>C,</I> po$terior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8057 $ecet ea$dem rectas in <I>H, I</I> & <I>K, L.</I> Habeant autem Sphæroides
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8058 omnes axem communem, & erunt rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8059 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8060 arum partes hinc inde interceptæ <I>DP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8061 & <I>BE, FP</I> & <I>CG, DH</I> & <I>IE, FK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8062 & <I>LG</I> $ibi mutuo æquales; propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8063 quod rectæ <I>DE, PB</I> & <I>HI</I> bi$ecan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8064 tur in eodem puncto, ut & rectæ <I>FG,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8065 PC</I> & <I>KL.</I> Concipe jam <I>DPF,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8066 EPG</I> de$ignare Conos oppo$itos, an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8067 gulis verticalibus <I>DPF, EPG</I> infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8068 nite parvis de$criptos, & lineas etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8069 <I>DH, EI</I> infinite parvas e$$e; & Conorum particulæ Sphæroidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8070 $uperficiebus ab$ci$$æ <I>DHKF, GLIE,</I> ob æqualitatem linearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8071 <I>DH, EI,</I> erunt ad invicem ut quadrata di$tantiarum $uarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8072 corpu$culo <I>P,</I> & propterea corpu$culum illud æqualiter trahent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8073 Et pari ratione, $i $uperficiebus Sphæroidum innumerarum $imilium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8074 concentricarum & axem communem habentium dividantur $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8075 <I>DPF, EGCB</I> in particulas, hæ omnes utrinque æqualiter tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8076 hent corpus <I>P</I> in partes contrarias. Æquales igitur $unt vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8077 Coni <I>DPF</I> & $egmenti Conici <I>EGCB,</I> & per contrarietatem $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8078 mutuo de$truunt. Et par e$t ratio virium materiæ omnis extra Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8079 roidem intimam <I>PCBM.</I> Trahitur igitur corpus <I>P</I> a $ola Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8080 roide intima <I>PCBM,</I> & propterea (per Corol. 3. Prop. LXXII) at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8081 tractio ejus e$t ad vim, qua corpus <I>A</I> trahitur a Sphæroide tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8082 <I>AGOD,</I> ut di$tantia <I>PS</I> ad di$tantiam <I>AS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8083 <pb n=200>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8084 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8085 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8086 <C>PROPOSITIO XCII. PROBLEMA XLVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8087 <C><I>Dato Corpore attractivo, invenire rationem decrementi virium cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8088 tripetarum in ejus puncta $ingula tendentium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8089 <p>E Corpore dato formanda e$t Sphæra vel Cylindrus aliave figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8090 ra regularis, cujus lex attractionis, cuivis decrementi rationi con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8091 gruens (per Prop. LXXX, LXXXI, & XCI) inveniri pote$t. Dein fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8092 ctis experimentis invenienda e$t vis attractionis in diver$is di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8093 tiis, & lex attractionis in totum inde patefacta dabit rationem de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8094 crementi virium partium $ingularum, quam invenire oportuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8095 <C>PROPOSITIO XCIII. THEOREMA XLVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8096 <p><I>Si Solidum ex una parte planum, ex reliquis autem partibus infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8097 tum, con$tet ex particulis æqualibus æqualiter attractivis, qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8098 rum vires in rece$$u a Solido decre$cunt in ratione pote$tatis cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8099 ju$vis di$tantiarum plu$quam quadraticæ, & vi Solidi totius cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8100 pu$culum ad utramvis plani partem con$titutum trahatur: dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8101 quod Solidi vis illa attractiva, in rece$$u ab ejus $uperficie pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8102 na, decre$cet in ratione pote$tatis, cujus latus est di$tantia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8103 pu$culi a plano, & Index ternario minor quam Index pote$ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8104 tis di$tantiarum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8105 <p><I>Cas.</I> 1. Sit <I>LGl</I> planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8106 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8107 quo Solidum terminatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8108 Jaceat Solidum autem ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8109 parte plani hujus ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8110 <I>I,</I> inque plana innumera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8111 <I>mHM, nIN,</I> &c. ip$i <I>GL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8112 parallela re$olvatur. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8113 primo collocetur corpus at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8114 tractum <I>C</I> extra Solidum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8115 Agatur autem <I>CGHI</I> pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8116 nis illis innumeris perpendicularis, & decre$cant vires attractivæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8117 punctorum Solidi in ratione pote$tatis di$tantiarum, cujus index $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8118 numerus <I>n</I> ternario non minor. Ergo (per Corol. 3. Prop. XC)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8119 <pb n=201>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8120 vis qua planum quodvis <I>mHM</I> trahit punctum <I>C</I> e$t reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8121 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8122 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8123 <I>CH<SUP>n-2</SUP>.</I> In plano <I>mHM</I> capiatur longitudo <I>HM</I> ip$i <I>CH<SUP>n-2</SUP></I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8124 ciproce proportionalis, & erit vis illa ut <I>HM.</I> Similiter in planis $in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8125 gulis <I>lGL, nIN, oKO,</I> &c. capiantur longitudines <I>GL, IN, KO,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8126 ip$is <I>CG<SUP>n-2</SUP>, CI<SUP>n-2</SUP>, CK<SUP>n-2</SUP>,</I> &c. reciproce proportionales; & vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8127 res planorum eorundem erunt ut longitudines captæ, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8128 $umma virium ut $umma longitudinum, hoc e$t, vis Solidi totius ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8129 area <I>GLOK</I> in infinitum ver$us <I>OK</I> producta. Sed area illa (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8130 notas quadraturarum methodos) e$t reciproce ut <I>CG<SUP>n-3</SUP>,</I> & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8131 terea vis Solidi totius e$t reciproce ut <I>CG<SUP>n-3</SUP>. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8132 <p><I>Cas.</I> 2. Collocetur jam corpu$culum <I>C</I> ex parte plani <I>lGL</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8133 tra Solidum, & capiatur di$tantia <I>CK</I> æqualis di$tantiæ <I>CG.</I> Et So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8134 lidi pars <I>LGloKO,</I> planis parallelis <I>lGL, oKO</I> terminata, cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8135 pu$culum <I>C</I> in medio $itum nullam in partem trahet, contrariis op-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8136 po$itorum punctorum actionibus $e mutuo per æqualitatem tollenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8137 bus. Proinde corpu$culum <I>C</I> $ola vi Solidi ultra planum <I>OK</I> $iti tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8138 hitur. Hæc autem vis (per Ca$um primum) e$t reciproce ut <I>CK<SUP>n-3</SUP>,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8139 hoc e$t (ob æquales <I>CG, CK</I>) reciproce ut <I>CG<SUP>n-3</SUP>. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8140 <p><I>Corol.</I> 1. Hinc $i Solidum <I>LGIN</I> planis duobus infinitis pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8141 rallelis <I>LG, IN</I> utrinque terminetur; innote$cit ejus vis attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8142 ctiva, $ubducendo de vi attractiva Solidi totius infiniti <I>LGKO</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8143 vim attractivam partis ulterioris <I>NICO,</I> in infinitum ver$us <I>KO</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8144 productæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8145 <p><I>Corol.</I> 2. Si Solidi hujus infiniti pars ulterior, quando attractio e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8146 jus collata cum attractione partis citerioris nullius pene e$t momen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8147 ti, rejiciatur: attractio partis illius citerioris augendo di$tantiam de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8148 cre$cet quam proxime in ratione pote$tatis <I>CG<SUP>n-3</SUP>.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8149 <p><I>Corol.</I> 3. Et hinc $i corpus quodvis finitum & ex una parte pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8150 num trahat corpu$culum e regione medii illius plani, & di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8151 inter corpu$culum & planum collata cum dimen$ionibus corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8152 ris attrahentis perexigua $it, con$tet autem corpus attrahens ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8153 particulis homogeneis, quarum vires attractivæ decre$cunt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8154 ratione pote$tatis cuju$vis plu$quam quadruplicatæ di$tantiarum;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8155 vis attractiva corporis totius decre$cet quamproxime in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8156 pote$tatis, cujus latus $it di$tantia illa perexigua, & Index terna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8157 rio minor quam Index pote$tatis prioris. De corpore ex particulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8158 con$tante, quarum vires attractivæ decre$cunt in ratione pote$tatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8159 triplicatæ di$tantiarum, a$$ertio non valet; propterea quod, in hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8160 ca$u, attractio partis illius ulterioris corporis infiniti in Corollario
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8161 $ecundo, $emper e$t infinite major quam attractio partis citerioris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8162 <pb n=202>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8163 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8164 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8165 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8166 <p>Si corpus aliquod perpendiculariter ver$us planum datum tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8167 hatur, & ex data lege attractionis quæratur motus corporis: Sol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8168 vetur Problema quærendo (per Prop. XXXIX) motum corporis recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8169 de$cendentis ad hoc planum, & (per Legum Corol. 2.) componen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8170 do motum i$tum cum uniformi motu, $ecundum lineas eidem plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8171 parallelas facto. Et contra, $i quæratur Lex attractionis in planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8172 $ecundum lineas perpendiculares factæ, ea conditione ut corpus at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8173 tractum in data quacunque curva linea moveatur, $olvetur Proble-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8174 ma operando ad exemplum Problematis tertii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8175 <p>Operationes autem contrahi $olent re$olvendo ordinatim appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8176 catas in Series convergentes. Ut $i ad ba$em A in angulo quovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8177 dato ordinatim applicetur longitudo B, quæ $it ut ba$is dignitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8178 quælibet A<SUP><I>m/n</I></SUP>; & quæratur vis qua corpus, $ecundum po$itionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8179 ordinatim applicatæ, vel in ba$em attractum vel a ba$i fugatum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8180 moveri po$$it in curva linea quam ordinatim applicata termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8181 no $uo $uperiore $emper attingit: Suppono ba$em augeri parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8182 quam minima O, & ordinatim applicatam &horbar;(A+O)<I>m/n</I> re$olvo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8183 Seriem infinitam A<SUP><I>m/n</I></SUP>+<I>m/n</I> OA<SUP>(<I>m-n/n</I>)</SUP>+(<I>mm-mn/2nn</I>) OOA<SUP>(<I>m-2n/n</I>)</SUP> &c. at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8184 que hujus termino in quo O duarum e$t dimen$ionum, id e$t, ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8185 mino (<I>mm-mn/2nn</I>) OOA<SUP>(<I>m-2n/n</I>)</SUP> vim proportionalem e$$e $uppono. E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8186 igitur vis quæ$ita ut (<I>mm-mn/nn</I>)A<SUP>(<I>m-2n/n</I>)</SUP>, vel quod perinde e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8187 (<I>mm-mn/nn</I>)B<SUP>(<I>m-2n/m</I>)</SUP>. Ut $i ordinatim applicata Parabolam attingat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8188 exi$tente <I>m</I>=2, & <I>n</I>=1: fiet vis ut data 2B°, adeoque dabi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8189 tur. Data igitur vi corpus movebitur in Parabola, quemad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8190 modum <I>Galilæus</I> demon$travit. Quod $i ordinatim applicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8191 Hyperbolam attingat, exi$tente <I>m</I>=o-1, & <I>n</I>=1; fiet vis ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8192 2A<SUP>-3</SUP> $eu 2B<SUP>3</SUP>: adeoque vi, quæ $it ut cubus ordinatim applicatæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8193 corpus movebitur in Hyperbola. Sed mi$$is huju$modi Propo$iti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8194 onibus, pergo ad alias qua$dam de Motu, quas nondum attigi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8195 <pb n=203>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8196 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8197 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8198 <C>SECTIO XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8199 <C><I>De Motu corporum minimorum, quæ Viribus centripetis ad $ingulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8200 magni alicujus corporis partes tendentibus agitantur.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8201 <C>PROPOSITIO XCIV. THEOREMA XLVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8202 <p><I>Si Media duo $imilaria, $patio planis parallelis utrinque terminato,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8203 di$tinguantur ab invicem, & corpus in tran$itu per hoc $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8204 attrahatur vel impellatur perpendiculariter ver$us Medium alter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8205 utrum, neque ulla alia vi agitetur vel impediatur: Sit autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8206 attractio, in æqualibus ab utroque plano di$tantiis ad eandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8207 ip$ius partem captis, ubique eadem: dico quod $inus incidentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8208 in planum alterutrum erit ad $inum emergentiæ ex plano altero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8209 in ratione data.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8210 <p><I>Cas.</I> 1. Sunto <I>Aa, Bb</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8211 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8212 plana duo parallela. Inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8213 dat corpus in planum pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8214 us <I>Aa</I> $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8215 <I>GH,</I> ac toto $uo per $pati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8216 um intermedium tran$itu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8217 attrahatur vel impellatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8218 ver$us Medium inciden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8219 tiæ, eaque actione de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8220 bat lineam curvam <I>HI,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8221 emergat $ecundum line-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8222 am <I>IK.</I> Ad planum emer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8223 gentiæ <I>Bb</I> erigatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8224 pendiculum <I>IM,</I> occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8225 rens tum lineæ inciden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8226 tiæ <I>GH</I> productæ in <I>M,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8227 tum plano incidentiæ <I>Aa</I> in <I>R</I>; & linea emergentiæ <I>KI</I> producta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8228 occurrat <I>HM</I> in <I>L.</I> Centro <I>L</I> intervallo <I>LI</I> de$cribatur Circulus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8229 <pb n=204>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8230 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8231 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8232 $ecans tam <I>HM</I> in <I>P</I> & <I>Q,</I> quam <I>MI</I> productam in <I>N,</I> & primo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8233 $i attractio vel impul$us ponatur uniformis, erit (ex demon$tratis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8234 <I>Galilæi</I>) curva <I>HI</I> Parabola, cujus hæc e$t proprietas, ut rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8235 gulum $ub dato latere recto & linea <I>IM</I> æquale $it <I>HM</I> quadrato;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8236 $ed & linea <I>HM</I> bi$ecabitur in <I>L.</I> Unde $i ad <I>MI</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8237 perpendiculum <I>LO,</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8238 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8239 quales erunt <I>MO, OR</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8240 & additis æqualibus <I>ON,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8241 OI,</I> fient totæ æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8242 <I>MN, IR.</I> Proinde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8243 <I>IR</I> detur, datur etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8244 <I>MN</I>; e$tque rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8245 lum <I>NMI</I> ad rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8246 lum $ub latere recto &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8247 <I>IM,</I> hoc e$t, ad <I>HMq,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8248 in data ratione. Sed rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8249 angulum <I>NMI</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8250 e$t rectangulo <I>PMQ,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8251 e$t, differentiæ quadrato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8252 rum <I>MLq,</I> & <I>PLq</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8253 <I>LIq</I>; & <I>HMq</I> datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8254 rationem habet ad $ui ip$ius quartam partem <I>MLq:</I> ergo datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8255 ratio <I>MLq-LIq</I> ad <I>MLq,</I> & divi$im, ratio <I>LIq</I> ad <I>MLq,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8256 ratio dimidiata <I>LI</I> ad <I>ML.</I> Sed in omni triangulo <I>LMI,</I> $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8257 angulorum $unt proportionales lateribus oppo$itis. Ergo datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8258 ratio $inus anguli incidentiæ <I>LMR</I> ad $inum anguli emergen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8259 tiæ <I>LIR. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8260 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8261 <p><I>Cas.</I> 2. Tran$eat jam corpus $ucce$$ive per $patia plura paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8262 lis planis terminata, <I>AabB, BbcC,</I> &c. & agitetur vi quæ $it in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8263 <pb n=205>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8264 $ingulis $eparatim uniformis, at in diver$is diver$a; & per jam de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8265 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8266 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8267 mon$trata, $inus incidentiæ in planum primum <I>Aa</I> erit ad $inum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8268 emergentiæ ex plano $ecundo <I>Bb,</I> in data ratione; & hic $inus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8269 qui e$t $inus incidentiæ in planum $ecundum <I>Bb,</I> erit ad $inum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8270 emergentiæ ex plano tertio <I>Cc,</I> in data ratione; & hic $inus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8271 $inum emergentiæ ex plano quarto <I>Dd,</I> in data ratione; & $ic in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8272 infinitum: & ex æquo, $inus incidentiæ in planum primum ad $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8273 num emergentiæ ex plano ultimo in data ratione. Minuantur jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8274 planorum intervalla & augeatur numerus in infinitum, eo ut attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8275 ctionis vel impul$us actio, $ecundum legem quamcunque a$$ignatam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8276 continua reddatur; & ratio $inus incidentiæ in planum primum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8277 $inum emergentiæ ex plano ultimo, $emper data exi$tens, etiam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8278 num dabitur. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8279 <C>PROPOSITIO XCV. THEOREMA XLIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8280 <p><I>Ii$dem po$itis; dico quod velocitas corporis ante incidentiam ect
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8281 ad ejus velocitatem poct emergentiam, ut $inus emergentiæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8282 $inum incidentiæ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8283 <p>Capiantur <I>AH, Id</I> æquales, & erigantur perpendicula <I>AG, dK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8284 occurrentia lineis incidentiæ & emergentiæ <I>GH, IK,</I> in <I>G</I> & <I>K.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8285 In <I>GH</I> capiatur <I>TH</I> æqualis <I>IK,</I> & ad planum <I>Aa</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8286 normaliter <I>Tv.</I> Et (per Legum Corol. 2) di$tinguatur motus cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8287 poris in duos, unum planis <I>Aa, Bb, Cc,</I> &c. perpendicularem, al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8288 terum ii$dem parallelum. Vis attractionis vel impul$us, agendo $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8289 cundum lineas perpendiculares, nil mutat motum $ecundum paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8290 las, & propterea corpus hoc motu conficiet æqualibus temporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8291 æqualia illa $ecundum parallelas intervalla, quæ $unt inter lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8292 <I>AG</I> & punctum <I>H,</I> interque punctum <I>I</I> & lineam <I>dK</I>; hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8293 æqualibus temporibus de$cribet lineas <I>GH, IK.</I> Proinde velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8294 citas ante incidentiam e$t ad velocitatem po$t emergentiam, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8295 <I>GH</I> ad <I>IK</I> vel <I>TH,</I> id e$t, ut <I>AH</I> vel <I>Id</I> ad <I>vH,</I> hoc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8296 (re$pectu radii <I>TH</I> vel <I>IK</I>) ut $inus emergentiæ ad $inum inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8297 dentiæ. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8298 <pb n=206>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8299 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8300 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8301 <C>PROPOSITIO XCVI. THEOREMA L.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8302 <p><I>Ii$dem po$itis & quod motus ante incidentiam velocior $it quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8303 po$tea: dico quod corpus, inclinando lineam incidentiæ, refle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8304 ctetur tandem, & angulus reflexionis fiet æqualis angulo inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8305 dentiæ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8306 <p>Nam concipe corpus inter parallela plana <I>Aa, Bb, Cc,</I> &c. de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8307 $cribere arcus Parabolicos, ut $upra; $intque arcus illi <I>HP, PQ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8308 QR,</I> &c. Et $it ea lineæ incidentiæ <I>GH</I> obliquitas ad planum pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8309 mum <I>Aa,</I> ut $inus incidentiæ $it ad radium circuli, cujus e$t $inus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8310 in ea ratione quam habet idem $inus incidentiæ ad $inum emer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8311 gentiæ ex plano <I>Dd,</I> in $patium <I>DdeE:</I> & ob $inum emergen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8312 tiæ jam factum æqualem radio, angulus emergentiæ erit rectus, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8313 eoque linea emergentiæ coincidet cum plano <I>Dd.</I> Perveniat cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8314 pus ad hoc planum in puncto <I>R</I>; & quoniam linea emergentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8315 coincidit cum eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8316 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8317 plano, per$picuum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8318 quod corpus non po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8319 te$t ultra pergere ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8320 $us planum <I>Ee.</I> Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8321 nec pote$t idem perge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8322 re in linea emergentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8323 <I>Rd,</I> propterea quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8324 perpetuo attrahitur vel impellitur ver$us Medium incidentiæ. Re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8325 vertetur itaque inter plana <I>Cc, Dd,</I> de$cribendo arcum Parabolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8326 <I>QRq,</I> cujus vertex principalis (juxta demon$trata <I>Galilæi</I>) e$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8327 <I>R</I>; $ecabit planum <I>Cc</I> in eodem angulo in <I>q,</I> ac prius in <I>Q</I>; dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8328 pergendo in arcubus parabolicis <I>qp, ph,</I> &c. arcubus prioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8329 <I>QP, PH</I> $imilibus & æqualibus, $ecabit reliqua plana in ii$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8330 angulis in <I>p, h,</I> &c. ac prius in <I>P, H,</I> &c. emergetque tandem ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8331 dem obliquitate in <I>h,</I> qua incidit in <I>H.</I> Concipe jam planorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8332 <I>Aa, Bb, Cc, Dd, Ee,</I> &c. intervalla in infinitum minui & nume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8333 rum augeri, eo ut actio attractionis vel impul$us $ecundum legem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8334 quamcunque a$$ignatam continua reddatur; & angulus cmergen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8335 tiæ $emper angulo incidentiæ æqualis exi$tens, eidem etiamnum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8336 manebit æqualis. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8337 <pb n=207>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8338 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8339 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8340 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8341 <p>Harum attractionum haud multum di$$imiles $unt Lucis reflexi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8342 ones & refractiones, factæ $ecundum datam Secantium rationem, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8343 invenit <I>Snellius,</I> & per con$equens $ecundum datam Sinuum ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8344 nem, ut expo$uit <I>Carte$ius.</I> Namque Lucem $ucce$$ive propagari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8345 & $patio qua$i $eptem vel octo minutorum primorum a Sole ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8346 Terram venire, jam con$tat per Phænomena Satellitum <I>Jovis,</I> Ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8347 $ervationibus diver$orum A$tronomorum confirmata. Radii autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8348 in aere exi$tentes (uti dudum <I>Grimaldus,</I> luce per foramen in te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8349 nebro$um cubiculum admi$$a, invenit, & ip$e quoque expertus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8350 $um) in tran$itu $uo prope corporum vel opacorum vel per$picuo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8351 rum angulos (quales $unt nummorum ex auro, argento & ære cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8352 $orum termini rectanguli circulares, & cultrorum, lapidum aut fra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8353 ctorum vitrorum acies) incurvantur circum corpora, qua$i attracti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8354 in eadem; & ex his radiis, qui in tran$itu illo propius accedunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8355 ad corpora incurvantur magis, qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8356 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8357 $i magis attracti, ut ip$e etiam dili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8358 genter ob$ervavi. In figura de$ig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8359 nat <I>s</I> aciem cultri vel cunei cuju$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8360 <I>AsB</I>; & <I>gowog, fnunf, emtme,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8361 dlsld,</I> $unt radii, arcubus <I>owo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8362 nun, mtm, lsl</I> ver$us cultrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8363 incurvati; idque magis vel mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8364 nus pro di$tantia eorum a cultro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8365 Cum autem talis incurvatio radio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8366 rum fiat in aere extra cultrum, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8367 bebunt etiam radii, qui incidunt in cultrum, prius incurvari in aere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8368 quam cultrum attingunt. Et par e$t ratio incidentium in vitrum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8369 Fit igitur refractio, non in puncto incidentiæ, $ed paulatim per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8370 continuam incurvationem radiorum, factam partim in aere ante-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8371 quam attingunt vitrum, partim (ni fallor) in vitro, po$tquam illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8372 ingre$$i $unt: uti in radiis <I>ckzkc, biyib, ahxha</I> incidentibus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8373 <I>r, q, p,</I> & inter <I>k</I> & <I>z, i</I> & <I>y, h</I> & <I>x</I> incurvatis, delineatum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8374 Igitur ob analogiam quæ e$t inter prop-gationem radiorum lucis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8375 & progre$$um corporum, vi$um e$t Propo$itiones $equentes in u$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8376 Opticos $ubjungere; interea de natura radiorum (utrum $int cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8377 pora necne) nihil omnino di$putans, $ed Trajectorias corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8378 Trajectoriis radiorum per$imiles $olummodo determinans.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8379 <pb n=208>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8380 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8381 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8382 <C>PROPOSITIO XCVII. PROBLEMA XLVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8383 <p><I>Po$ito quod $inus incidentiæ in $uperficiem aliquam $it ad $inum e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8384 mergentiæ in data ratione, quodque incurvatio viæ corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8385 juxta $uperficiem illam fiat in $patio brevi$$imo, quod ut pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8386 ctum con$iderari po$$it; determinare $uperficiem quæ corpu$cula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8387 omnia de loco dato $ucce$$ive manantia convergere faciat ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8388 alium locum datum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8389 <p>Sit <I>A</I> locus a quo corpu$cula divergunt; <I>B</I> locus in quem con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8390 vergere debent; <I>CDE</I> curva linea quæ circa axem <I>AB</I> revoluta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8391 de$cribat $uperficiem quæ$itam; <I>D, E</I> curvæ illius puncta duo quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8392 vis; & <I>EF, EG</I> perpendicula in corporis vias <I>AD, DB</I> demi$$a.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8393 Accedat punctum <I>D</I> ad punctum <I>E</I>; & lineæ <I>DF</I> qua <I>AD</I> au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8394 getur, ad lineam <I>DG</I> qua <I>DB</I> diminuitur, ratio ultima erit ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8395 dem quæ $inus incidentiæ ad $inum emergentiæ. Datur ergo ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8396 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8397 incrementi lineæ <I>AD</I> ad decrementum lineæ <I>DB</I>; & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8398 $i in axe <I>AB</I> $umatur ubivis <*> punctum <I>C,</I> per quod curva <I>CDE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8399 tran$ire debet, & capiatur ip$ius <I>AC</I> incrementum <I>CM,</I> ad ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8400 <I>BC</I> decrementum <I>CN</I> in data illa ratione; centri$que <I>A, B,</I> & in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8401 tervallis <I>AM, BN</I> de$cribantur circuli duo $e mutuo $ecantes in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8402 <I>D:</I> punctum illud <I>D</I> tanget curvam quæ$itam <I>CDE,</I> eandemque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8403 ubivis tangendo determinabit. <I>Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8404 <p><I>Corol.</I> 1. Faciendo autem ut punctum <I>A</I> vel <I>B</I> nunc abeat in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8405 finitum, nunc migret ad alteras partes puncti <I>C,</I> habebuntur Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8406 guræ illæ omnes quas <I>Carte$ius</I> in Optica & Geometria ad Refra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8407 ctiones expo$uit. Quarum inventionem cum <I>Carte$ius</I> maximi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8408 fecerit & $tudio$e celaverit, vi$um fuit hac propo$itione expo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8409 nere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8410 <pb n=209>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8411 <p><I>Corol.</I> 2. Si corpus in $uperficiem quamvis <I>CD,</I> $ecundum lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8412 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8413 PRIMUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8414 rectam <I>AD</I> lege quavis ductam incidens, emergat $ecundum aliam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8415 quamvis rectam <I>DK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8416 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8417 & a puncto <I>C</I> duci in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8418 telligantur Lineæ curvæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8419 <I>CP, CQ</I> ip$is <I>AD, DK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8420 $emper perpendiculares:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8421 erunt incrementa linea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8422 rum <I>PD, QD,</I> atq; ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8423 eo lineæ ip$æ <I>PD, QD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8424 incrementis i$tis genitæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8425 ut $inus incidentiæ & e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8426 mergentiæ ad invicem:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8427 & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8428 <C>PROPOSITIO XCVIII. PROBLEMA XLVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8429 <p><I>Ii$dem po$itis, & circa axem</I> AB <I>de$cripta $uperficie quacunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8430 attractiva</I> CD, <I>regulari vel irregulari, per quam corpora de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8431 loco dato</I> A <I>exeuntia tran$ire debent: invenire $uperficiem $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8432 cundam attractivam</I> EF, <I>quæ corpora illa ad locum datum</I> B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8433 <I>convergere faciat.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8434 <p>Juncta <I>AB</I> $ecet $uperficiem primam in <I>C</I> & $ecundam in <I>E,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8435 puncto <I>D</I> utcunque a$$umpto. Et po$ito $inu incidentiæ in $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8436 ficiem primam ad $inum emergentiæ ex eadem, & $inu emergentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8437 e $uperficie $ecunda ad $inum incidentiæ in eandem, ut quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8438 aliqua data M ad aliam datam N; produc tum <I>AB</I> ad <I>G</I> ut $it <I>BG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8439 ad <I>CE</I> ut M-N ad N, tum <I>AD</I> ad <I>H</I> ut $it <I>AH</I> æqualis <I>AG,</I> tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8440 etiam <I>DF</I> ad <I>K</I> ut $it <I>DK</I> ad <I>DH</I> ut N ad M. Junge <I>KB,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8441 centro <I>D</I> intervallo <I>DH</I> de$cribe circulum occurrentem <I>KB</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8442 ductæ in <I>L,</I> ip$ique <I>DL</I> parallelam age <I>BF:</I> & punctum <I>F</I> tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8443 get Lineam <I>EF,</I> quæ circa axem <I>AB</I> revoluta de$cribet $uperfi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8444 ciem quæ$itam. <I>Q. E. F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8445 <p>Nam concipe Lineas <I>CP, CQ</I> ip$is <I>AD, DF</I> re$pective, & Li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8446 neas <I>ER, ES</I> ip$is <I>FB, FD</I> ubique perpendiculares e$$e, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8447 <I>QS</I> ip$i <I>CE</I> $emper æqualem; & erit (per Corol. 2. Prop. XCVII)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8448 <I>PD</I> ad <I>QD</I> ut M ad N, adeoque ut <I>DL</I> ad <I>DK</I> vel <I>FB</I> ad <I>FK</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8449 <pb n=210>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8450 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8451 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8452 & divi$im ut <I>DL-FP</I> $eu <I>PH-PD-FB</I> ad <I>FD</I> $eu <I>FQ-QD</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8453 & compo$ite ut <I>PH-FB</I> ad <I>FQ,</I> id e$t (ob æquales <I>PH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8454 & <I>CG, QS</I> & <I>CE)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8455 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8456 CE+BG-FR</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8457 <I>CE-FS.</I> Verum (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8458 proportionales <I>BG</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8459 <I>CE</I> & M-N ad N)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8460 e$t etiam <I>CE+BG</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8461 <I>CE</I> ut M ad N: adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8462 divi$im <I>FR</I> ad <I>FS</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8463 M ad N, & propterea per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8464 Corol. 2. Prop. XCVII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8465 $uperficies <I>EF</I> cogit cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8466 pus, in ip$am $ecundum lineam <I>DF</I> incidens, pergere in linea <I>FR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8467 ad locum <I>B. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8468 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8469 <p>Eadem methodo pergere liceret ad $uperficies tres vel plures.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8470 Ad u$us autem Opticos maxime accommodatæ $unt figuræ Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8471 ricæ. Si Per$picillorum vitra Objectiva ex vitris duobus Sphæri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8472 ce figuratis & Aquam inter $e claudentibus conflentur; fieri pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8473 ut a refractionibus Aquæ errores refractionum, quæ fiunt in vitro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8474 rum $uperficiebus extremis, $atis accurate corrigantur. Talia au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8475 tem vitra Objectiva vitris Ellipticis & Hyperbolicis præferenda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8476 $unt, non $olum quod facilius & accuratius formari po$$int, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8477 etiam quod Penicillos radiorum extra axem vitri $itos accurativs
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8478 refringant. Verum tamen diver$a diver$orum radiorum Refrangi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8479 bilitas impedimento e$t, quo minus Optica per Figuras vel Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8480 ricas vel alias qua$cunque perfici po$$it. Ni$i corrigi po$$int er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8481 rores illinc oriundi, labor omnis in cæteris corrigendis imperite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8482 collocabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8483 <pb n=211>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8484 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8485 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8486 <C>DE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8487 MOTU CORPORUM
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8488 LIBER SECUNDUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8489 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8490 <C>SECTIO I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8491 <C><I>De Motu Corporum quibus re$i$titur in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8492 Velocitatis.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8493 <C>PROPOSITIO I. THEOREMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8494 <C><I>Corporis, cui re$i$titur in ratione velocitatis, motus ex re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8495 ami$$us ect ut $patium movendo confectum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8496 <p>NAm cum motus $ingulis temporis particulis æqualibus ami$$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8497 $it ut velocitas, hoc e$t, ut itineris confecti particula: erit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8498 componendo, motus toto tempore ami$$us ut iter totum. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8499 <p><I>Corol.</I> Igitur $i corpus, gravitate omni de$titutum, in $patiis libe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8500 ris $ola vi in$ita moveatur; ac detur tum motus totus $ub initio, tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8501 etiam motus reliquus po$t $patium aliquod confectum: dabitur $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8502 tium totum quod corpus infinito tempore de$cribere pote$t. Erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8503 enim $patium illud ad $patium jam de$criptum, ut motus totus $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8504 initio ad motus illius partem ami$$am.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8505 <C>LEMMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8506 <C><I>Quantitates differentiis $uis proportionales, $unt continue propor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8507 tionales.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8508 <p>Sit A ad A-B ut B ad B-C & C ad C-D, &c. & dividendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8509 fiet A ad B ut B ad C & C ad D, &c. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8510 <pb n=212>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8511 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8512 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8513 <C>PROPOSITIO II. THEOREMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8514 <p><I>Si Corpori re$i$titur in ratione velocitatis, & idem $ola vi in$ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8515 per Medium $imilare moveatur, $umantur autem tempora æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8516 lia: velocitates in principiis $ingulorum temporum $unt in pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8517 gre$$ione Geometrica, & $patia $ingulis temporibus de$cripta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8518 $unt ut velocitates.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8519 <p><I>Cas.</I> 1. Dividatur tempus in particulas æquales; & $i ip$is parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8520 cularum initiis agat vis re$i$tentiæ impul$o unico, quæ $it ut velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8521 citas: erit decrementum velocitatis $ingulis temporis particulis ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8522 eadem velocitas. Sunt ergo velocitates differentiis $uis proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8523 nales, & propterea (per Lem. I. Lib. II.) continue proportionales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8524 Proinde $i ex æquali particularum numero componantur tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8525 quælibet æqualia, erunt velocitates ip$is temporum initiis, ut ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8526 mini in progre$$ione continua, qui per $altum capiuntur, omi$$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8527 pa$$im æquali terminorum intermediorum numero. Componuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8528 autem horum terminorum rationes ex æqualibus rationibus termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8529 norum intermediorum æqualiter repetiti<*> & propterea $unt æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8530 les. Igitur velocitates, his terminis proportionales, $unt in pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8531 gre$$ione Geometrica. Minuantur jam æquales illæ temporum par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8532 ticulæ, & augeatur earum numerus in infinitum, eo ut re$i$tentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8533 impul$us reddatur continuus; & velocitates in principiis æqualium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8534 temporum, $emper continue proportionales, erunt in hoc etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8535 ca$u continue proportionales. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8536 <p><I>Cas.</I> 2. Et divi$im velocitatum differentiæ, hoc e$t, earum partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8537 $ingulis temporibus ami$$æ, $unt ut totæ: Spatia autem $ingulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8538 temporibus de$cripta $unt ut velocitatum partes ami$$æ, (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8539 I. Lib II.) & propterea etiam ut totæ. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8540 <p><I>Corol.</I> Hinc $i A$ymptotis rectangulis <I>ADC, CH</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8541 Hyperbola <I>BG,</I> $intque <I>AB, DG</I> ad A$ymptoton <I>AC</I> perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8542 diculares, & exponatur tum corporis velocitas tum re$i$tentia Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8543 dii, ip$o motus initio, per lineam quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8544 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8545 vis datam <I>AC,</I> elap$o autem tempore ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8546 quo per lineam indefinitam <I>DC:</I> exponi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8547 pote$t tempus per aream <I>ABGD,</I> & $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8548 tium eo tempore de$criptum per lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8549 <I>AD.</I> Nam $i area illa per motum puncti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8550 <I>D</I> augeatur uniformiter ad modum tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8551 <pb n=213>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8552 ris, decre$cet recta <I>DC</I> in ratione Geometrica ad modum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8553 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8554 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8555 tatis, & partes rectæ <I>AC</I> æqualibus temporibus de$criptæ decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8556 $cent in eadem ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8557 <C>PROPOSITIO III. PROBLEMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8558 <p><I>Corporis, cui dum in Medio $imilari recta a$cendit vel de$cendit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8559 re$i$titur in ratione velocitatis, quodque ab uniformi gravitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8560 urgetur, definire motum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8561 <p>Corpore a$cendente, ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8562 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8563 ponatur gravitas per datum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8564 quodvis rectangulum <I>BC,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8565 re$i$tentia Medii initio a$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8566 cen$us per rectangulum <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8567 $umptum ad contrarias par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8568 tes. A$ymptotis rectangulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8569 <I>AC, CH,</I> per punctum <I>B</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8570 $cribatur Hyperbola $ecans per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8571 pendicula <I>DE, de</I> in <I>G, g;</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8572 corpus a$cendendo, tempore <I>DGgd,</I> de$cribet $patium <I>EGge,</I> tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8573 pore <I>DGBA</I> $patium a$cen$us totius <I>EGB</I>; tempore <I>AB</I>2<I>G</I>2<I>D</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8574 $patium de$cen$us <I>BF</I>2<I>G,</I> atque tempore 2<I>D</I>2<I>G</I>2<I>g</I>2<I>d</I> $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8575 de$cen$us 2<I>GF</I>2<I>e</I>2<I>g</I>: & velocitates corporis (re$i$tentiæ Medii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8576 proportionales) in horum temporum periodis erunt <I>ABED,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8577 ABed,</I> nulla, <I>ABF</I>2<I>D, AB</I>2<I>e</I>2<I>d</I> re$pective; atque maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8578 velocitas, quam corpus de$cendendo pote$t acquirere, erit <I>BC.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8579 <p>Re$olvatur enim rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8580 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8581 gulum <I>AH</I> in rectangula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8582 innumera <I>Ak, Kl, Lm, Mn,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8583 &c. quæ $int ut incrementa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8584 velocitatum æqualibus tot-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8585 idem temporibus facta; & e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8586 runt nihil, <I>Ak, Al, Am, An,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8587 &c. ut velocitates totæ, at-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8588 que adeo (per Hypothe$in)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8589 ut re$i$tentiæ Medii princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8590 pio $ingulorum temporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8591 æqualium. Fiat <I>AC</I> ad <I>AK</I> vel <I>ABHC</I> ad <I>ABkK,</I> ut vis gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8592 vitatis ad re$i$tentiam in principio temporis $ecundi, deque vi gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8593 <pb n=214>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8594 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8595 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8596 tatis $ubducantur re$i$tentiæ, & manebunt <I>ABHC, KkHC, LlHC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8597 NnHC,</I> &c. ut vires ab$olutæ quibus corpus in principio $ingu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8598 lorum temporum urgetur, atque adeo (per motus Legem 11) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8599 incrementa velocitatum, id e$t, ut rectangula <I>Ak, Kl, Lm, Mn,</I> &c;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8600 & propterea (per Lem. I. Lib. II) in progre$$ione Geometrica. Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8601 re $i rectæ <I>Kk, Ll, Mm, Nn,</I> &c. productæ occurrant Hyperbolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8602 in <I>q, r, s, t,</I> &c. erunt areæ <I>ABqK, KqrL, LrsM, MstN,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8603 æquales, adeoque tum temporibus tum viribus gravitatis $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8604 æqualibus analogæ. E$t autem area <I>ABqK</I> (per Corol. 3. Lem. VII,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8605 & Lem. VIII, Lib. I) ad aream <I>Bkq</I> ut <I>Kq</I> ad 1/2 <I>kq</I> $eu <I>AC</I> ad 1/2 <I>AK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8606 hoc e$t, ut vis gravitatis ad re$i$tentiam in medio temporis primi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8607 Et $imili argumento areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8608 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8609 <I>qKLr, rLMs, sMNt,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8610 $unt ad areas <I>qklr, rlms,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8611 smnt,</I> &c. ut vires gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8612 tatis ad re$i$tentias in me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8613 dio temporis $ecundi, ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8614 tii, quarti, &c. Proinde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8615 areæ æquales <I>BAKq, qKLr,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8616 rLMs, sMNt,</I> &c. $int vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8617 ribus gravitatis analogæ, e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8618 runt areæ <I>Bkq, qklr, rlms,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8619 smnt,</I> &c. re$i$tentiis in mediis $ingulorum temporum, hoc e$t (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8620 Hypothe$in) velocitatibus, atque adeo de$criptis $patiis analogæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8621 Sumantur analogarum $ummæ, & erunt areæ <I>Bkq, Blr, Bms, Bnt,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8622 &c. $patiis totis de$criptis analogæ; necnon areæ <I>ABqK, ABrL,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8623 ABsM, ABtN,</I> &c. temporibus. Corpus igitur inter de$cenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8624 dum, tempore quovis <I>ABrL,</I> de$cribit $patium <I>Blr,</I> & tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8625 <I>LrtN</I> $patium <I>rlnt. Q.E.D.</I> Et $imilis e$t demon$tratio motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8626 expo$iti in a$cen$u. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8627 <p><I>Corol.</I> 1. Igitur velocitas maxima, quam corpus cadendo pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8628 acquirere, e$t ad velocitatem dato quovis tempore acqui$itam, u<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8629 vis data gravitatis qua perpetuo urgetur, ad vim re$i$tentiæ qua i<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8630 fine temporis illius impeditur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8631 <p><I>Corol.</I> 2. Tempore autem aucto in progre$$ione Arithmetica, $umm<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8632 velocitatis illius maximæ ac velocitatis in a$cen$u (atque etiam earun
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8633 dem differentia in de$cen$u) decre$cit in progre$$ione Geometrica.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8634 <p><I>Corol.</I> 3. Sed & differentiæ $patiorum, quæ in æqualibus tempo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8635 rum differentiis de$cribuntur, decre$cunt in eadem progre$$ion
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8636 Geometrica.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8637 <pb n=215>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8638 <p><I>Corol.</I> 4. Spatium vero a corpore de$criptum differentia e$t duo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8639 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8640 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8641 rum $patiorum, quorum alterum e$t ut tempus $umptum ab initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8642 de$cen$us, & alterum ut velocitas, quæ etiam ip$o de$cen$us initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8643 æquantur inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8644 <C>PROPOSITIO IV. PROBLEMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8645 <p><I>Po$ito quod vis gravitatis in Medio aliquo $imilari uniformis $it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8646 ac tendat perpendiculariter ad planum Horizontis; definire mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8647 tum Projectilis in eodem, re$i$tentiam velocitati proportionalem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8648 patientis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8649 <p>Eloco quovis <I>D</I> egrediatur Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8650 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8651 jectile $ecundum lineam quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8652 vis rectam <I>DP,</I> & per longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8653 dinem <I>DP</I> exponatur eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8654 velocitas $ub initio motus. A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8655 puncto <I>P</I> ad lineam Horizonta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8656 lem <I>DC</I> demittatur perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8657 culum <I>PC,</I> & $ecetur <I>DC</I> in <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8658 ut $it <I>DA</I> ad <I>AC</I> ut re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8659 Medii, ex motu in altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8660 $ub initio orta, ad vim gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8661 tatis; vel (quod perinde e$t) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8662 $it rectangulum $ub <I>DA</I> & <I>DP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8663 ad rectangulum $ub <I>AC</I> & <I>CP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8664 ut re$i$tentia tota $ub initio mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8665 tus ad vim gravitatis. A$ymptotis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8666 <I>DC, CP,</I> de$cribatur Hyperbo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8667 la quævis <I>GTBS</I> $ecans perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8668 dicula <I>DG, AB</I> in <I>G</I> & <I>B</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8669 compleatur parallelogrammum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8670 <I>DGKC,</I> cujus latus <I>GK</I> $ecet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8671 <I>AB</I> in <I>Q.</I> Capiatur linea N in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8672 ratione ad <I>QB</I> qua <I>DC</I> $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8673 <I>CP</I>; & ad rectæ <I>DC</I> pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8674 ctum quodvis <I>R</I> erecto perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8675 diculo <I>RT,</I> quod Hyperbolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8676 in <I>T,</I> & rectis <I>EH, GK, DP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8677 in <I>I, t</I> & <I>V</I> occurrat; in eo cape <I>Vr</I> æqualem (<I>tGT</I>/N), vel quod per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8678 <pb n=216>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8679 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8680 CORPORUN</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8681 inde e$t, cape <I>Rr</I> æqualem (<I>GTIE</I>/N); & Projectile tempore <I>DRTG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8682 perveniet ad punctum <I>r,</I> de$cribens curvam lineam <I>DraF,</I> quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8683 punctum <I>r</I> $emper tangit, perveniens autem ad maximam altitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8684 nem <I>a</I> in perpendiculo <I>AB,</I> & po$tea $emper appropinquans ad A-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8685 $ymptoton <I>PLC.</I> E$tque velocitas ejus in puncto quovis <I>r</I> ut Cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8686 væ Tangens <I>rL. Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8687 <p>E$t enim N ad <I>QB</I> ut <I>DC</I> ad <I>CP</I> $eu <I>DR</I> ad <I>RV,</I> adeoque <I>RV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8688 æqualis (<I>DRXQB</I>/N), & <I>Rr</I> (id e$t <I>RV-Vr</I> $eu (<I>DRXQB-tGT</I>/N))
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8689 æqualis (<I>DRXAB-RDGT</I>/N). Exponatur jam tempus per are-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8690 am <I>RDGT,</I> & (per Legum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8691 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8692 Corol. 2.) di$tinguatur motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8693 corporis in duos, unum a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8694 $us, alterum ad latus. Et cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8695 re$i$tentia $it ut motus, di$tin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8696 guetur etiam hæc in partes duas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8697 partibus motus proportionales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8698 & contrarias: ideoque longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8699 do, a motu ad latus de$cripta, e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8700 rit (per Prop. 11. hujus) ut linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8701 <I>DR,</I> altitudo vero (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8702 111. hujus) ut area <I>DRXAB
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8703 -RDGT,</I> hoc e$t, ut linea <I>Rr.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8704 Ip$o autem motus initio area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8705 <I>RDGT</I> æqualis e$t rectangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8706 <I>DRXAQ,</I> ideoque linea illa <I>Rr</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8707 ($eu (<I>DRXAB-DRXAQ</I>/N))
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8708 tunc e$t ad <I>DR</I> ut <I>AB-AQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8709 $eu <I>QB</I> ad N, id e$t, ut <I>CP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8710 ad <I>DC</I>; atque adeo ut motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8711 in altitudinem ad motum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8712 longitudinem $ub initio. Cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8713 igitur <I>Rr</I> $emper $it ut altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8714 do, ac <I>DR</I> $emper ut longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8715 tudo, atque <I>Rr</I> ad <I>DR</I> $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8716 initio ut altitudo ad longitudinem: nece$$e e$t ut <I>Rr</I> $emper $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8717 <I>DR</I> ut altitudo ad longitudinem, & propterea ut corpus movea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8718 tur in linea <I>DraF,</I> quam punctum <I>r</I> perpetuo tangit. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8719 <pb n=217>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8720 <p><I>Corol.</I> 1. E$t igitur <I>Rr</I> æqualis (<I>DRXAB</I>/N)-(<I>RDGT</I>/N), ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8721 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8722 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8723 $i producatur <I>RT</I> ad <I>X</I> ut $it <I>RX</I> æqualis (<I>DRXAB</I>/N), (id e$t, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8724 compleatur parallelogrammum <I>ACPY,</I> jungatur <I>DY</I> $ecans <I>CP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8725 in <I>Z,</I> & producatur <I>RT</I> donec occurrat <I>DY</I> in <I>X</I>;) erit <I>Xr</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8726 lis (<I>RDGT</I>/N), & propterea tempori proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8727 <p><I>Corol.</I> 2. Unde $i capiantur innumeræ <I>CR</I> vel, quod perinde e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8728 innumeræ Z<I>X,</I> in progre$$ione Geometrica; erunt totidem <I>Xr</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8729 progre$$ione Arithmetica. Et hinc Curva <I>DraF</I> per tabulam Lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8730 garithmorum facile delineatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8731 <p><I>Corol.</I> 3. Si vertice <I>D,</I> diametro <I>DE</I> deor$um producta, & La-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8732 tere recto quod $it ad 2<I>DP</I> ut re$i$tentia tota, ip$o motus initio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8733 ad vim gravitatis, Parabola con$truatur: velocitas quacum corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8734 exire debet de loco <I>D</I> $ecundum rectam <I>DP,</I> ut in Medio uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8735 formi re$i$tente de$cribat Curvam <I>DraF,</I> ea ip$a erit quacum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8736 ire debet de eodem loco <I>D,</I> $ecundum eandem rectam <I>DP,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8737 in $patio non re$i$tente de$cribat Parabolam. Nam Latus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8738 ctum Parabolæ hujus, ip$o motus initio, e$t (<I>DVquad./Vr</I>) & <I>Vr</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8739 e$t (<I>tGT</I>/N) $eu (<I>DRXTt</I>/2N). Recta autem quæ, $i duceretur, Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8740 perbolam <I>GTB</I> tangeret in <I>G,</I> parallela e$t ip$i <I>DK,</I> ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8741 <I>Tt</I> e$t (<I>CKXDR/DC</I>) & N erat (<I>QBXDC/CP</I>). Et propterea <I>Vr</I> e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8742 (<I>DRqXCKXCP/2DCqXQB</I>), id e$t, (ob proportionales <I>DR</I> & <I>DC, DV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8743 & <I>DP</I>) (<I>DVqXCKXCP/2DPqXQB</I>), & Latus rectum (<I>DVquad./Vr</I>) prodit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8744 (2<I>DPqXQB/CKXCP</I>), id e$t (ob proportionales <I>QB</I> & <I>CK, DA</I> & <I>AC</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8745 (2<I>DPqXDA/ACXCP</I>), adeoque ad 2 <I>DP,</I> ut <I>DPXDA</I> ad <I>CPXAC</I>; hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8746 e$t, ut re$i$tentia ad gravitatem. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8747 <p><I>Corol.</I> 4. Unde $i corpus de loco quovis <I>D,</I> data cum velocitate,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8748 $ecundum rectam quamvis po$itione datam <I>DP</I> projiciatur; & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8749 $i$tentia Medii ip$o motus initio detur: inveniri pote$t Curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8750 <I>DraF,</I> quam corpus idem de$cribet. Nam ex data velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8751 <pb n=218>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8752 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8753 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8754 datur latus rectum Parabolæ, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8755 notum e$t. Et $umendo 2<I>DP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8756 ad latus illud rectum, ut e$t vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8757 gravitatis ad vim re$i$tentiæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8758 datur <I>DP.</I> Dein $ecando <I>DC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8759 in <I>A,</I> ut $it <I>CPXAC</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8760 <I>DPXDA</I> in eadem illa rati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8761 one gravitatis ad re$i$tentiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8762 dabitur punctum <I>A.</I> Et inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8763 datur Curva <I>DraF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8764 <p><I>Corol.</I> 5. Et contra, $i datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8765 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8766 Curva <I>DraF,</I> dabitur & ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8767 locitas corporis & re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8768 Medii in locis fingulis <I>r.</I> Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8769 ex data ratione <I>CPXAC</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8770 <I>DPXDA,</I> datur tum re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8771 tia Medii $ub initio motus, tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8772 latus rectum Parabolæ: & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8773 datur etiam velocitas $ub initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8774 motus. Deinde ex longitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8775 tangentis <I>rL,</I> datur & huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8776 proportionalis velocitas, & ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8777 locitati proportionalis re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8778 tia in loco quovis <I>r.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8779 <p><I>Corol.</I> 6. Cum autem longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8780 do <*><I>DP</I> $it ad latus rectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8781 Parabolæ ut gravitas ad re$i$tentiam in <I>D</I>; & ex aucta velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8782 angeatur re$i$tentia in eadem ratione, at latus rectum Parabolæ au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8783 geatur in ratione illa duplicata: patet longitudinem 2<I>DP</I> augeri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8784 in ratione illa $implici, adeoque velocitati $emper proportionalem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8785 e$$e, neque ex angulo <I>CDP</I> mutato augeri vel minui, ni$i mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8786 tetur quoque velocitas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8787 <p><I>Corol.</I> 7. Unde liquet methodus determinandi Curvam <I>DraF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8788 ex Phænomenis quamproxime, & inde colligendi re$i$tentiam &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8789 velocitatem quacum corpus projicitur. Projiciantur corpora duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8790 $imilia & æqualia eadem cum veloci<*>, de loco <I>D,</I> $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8791 angulos diver$os <I>GDP, cD<></I> (mino$<> literarum locis fub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8792 intellectis) & cogno$ca<> loc<> <I>F, f,</I> abi incidunt in horizontale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8793 pl<>um <I>DC.</I> Tum, a$$u<> <>unque longitudine pro <I>D<></I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8794 vel <I>Dp,</I> fingatur q<>od re$<> in <I>D</I> $<>ad gravit<>em in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8795 <pb n=219>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8796 tione qualibet, & exponatur ratio illa per longitudinem quamvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8797 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8798 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8799 <I>SM.</I> Deinde per computationem, ex longitudine illa a$$umpta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8800 <I>DP,</I> inveniantur longitudines <I>DF, Df,</I> ac de ratione (<I>Ef/DF</I>) per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8801 calculum inventa, auferatur ratio eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8802 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8803 per expe<> inve<>ta, & exp<*>tur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8804 differentia per perpendiculum <I>MN.</I> Idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8805 fac iterum ac tertio, a$$umendo $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8806 novam re$i$tentiæ ad gravitatem rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8807 <I>SM,</I> & colligendo novam differentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8808 <I>MN.</I> Ducantur autem differentiæ affirmativæ ad unam partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8809 rectæ <I>SM,</I> & negativæ ad alteram; & per puncta <I>N, N, N</I> agatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8810 ourva regularis <I>NNN</I> $ecans rectam <I>SMMM</I> in <I>X,</I> & erit <I>SX</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8811 vera ratio re$i$tentiæ ad gravitatem, quam invenire oportuit. Ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8812 hac ratione colligenda e$t longitudo <I>DF</I> per calculum; & longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8813 tudo quæ $it ad a$$umptam longitudinem <I>DP,</I> at longitudo <I>DF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8814 per experimentum cognita ad longitudinem <I>DF</I> modo inventam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8815 erit vera longitudo <I>DP.</I> Qua inventa, habetur tum Curva linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8816 <I>DraF</I> quam corpus de$cribit, tum corporis velocitas & re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8817 tia in locis $ingulis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8818 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8819 <p>Cæterum, re$i$tentiam corporum e$$e in ratione velocitatis<*> Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8820 pothe$is e$t magis Mathematica quam Naturalis<*> Obtinet hæc ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8821 tio quamproxime ubi corpora in Mediis rigore aliquo præditis tar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8822 di$$ime moventur. In Mediis antem quæ rigore omni vacant re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8823 $i$tentiæ corporum $unt in duplicata ratione velocitatum. Etenim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8824 actione corporis velocioris communicatur eidem Medii quantitati,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8825 tempore minore, motus major in ratione majoris velocitatis; ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8826 eoque tempore æquali (ob majorem Medii quantitatem perturba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8827 tam) communicatur motus in duplicata ratione major; e$t que re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8828 $i$tentia (per motus Legem II & III) ut motus communicatus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8829 Videamus igitur quades oriantur motus ex hac lege Re$i$tentiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8830 <pb n=220>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8831 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8832 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8833 <C>SECTIO II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8834 <C><I>De motu Corporum quibus re$i$titur in duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8835 tione Velocitatum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8836 <C>PROPOSITIO V. THEOREMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8837 <p><I>Si Corpori re$i$iitur in velocitatis ratione duplicata, & idem $ola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8838 vi in$ita per Medium $imilare movetur; tempora vero $uman-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8839 tur in progre$$ione Geometrica a minoribus terminis ad majores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8840 pergente: dico quod velocitates initio $ingulorum temporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8841 $unt in eadem progre$$ione Geometrica inver$e, & quod $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8842 $unt æqualia quæ $ingulis temporibus de$cribuntur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8843 <p>Nam quoniam quadrato velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8844 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8845 tis proportionalis e$t re$i$tentia Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8846 dii, & re$i$tentiæ proportionale e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8847 decrementum velocitatis; $i tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8848 in particulas innumeras æquales divi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8849 datur, quadrata velocitatum $ingulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8850 temporum initiis erunt velocitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8851 earundem differentiis proportionalia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8852 Sunto temporis particulæ illæ <I>AK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8853 KL, LM,</I> &c. in recta <I>CD</I> $umptæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8854 & erigantur perpendicula <I>AB, Kk,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8855 Ll, Mm,</I> &c. Hyperbolæ <I>BklmG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8856 centro <I>C</I> A$ymptotis rectangulis <I>CD, CH</I> de$criptæ, occurrentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8857 in <I>B, k, t, m,</I> &c. & erit <I>AB</I> ad <I>Kk</I> ut <I>CK</I> ad <I>CA,</I> & divi$im
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8858 <I>AB-Kk</I> ad <I>Kk</I> ut <I>AK</I> ad <I>CA,</I> & vici$$im <I>AB-Kk</I> ad <I>AK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8859 ut <I>Kk</I> ad <I>CA,</I> adeoque ut <I>ABXKk</I> ad <I>ABXCA.</I> Unde, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8860 <I>AK</I> & <I>ABXCA</I> dentur, erit <I>AB-Kk</I> ut <I>ABXKk</I>; & ultimo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8861 ubi coeunt <I>AB</I> & <I>Kk,</I> ut <I>ABq.</I> Et $imili argumento erunt <I>Kk-Ll,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8862 Ll-Mm,</I> &c. ut <I>Kkq, Llq,</I> &c. Linearum igitur <I>AB, Kk, Ll, Mm</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8863 <pb n=221>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8864 quadrata $unt ut earundem differentiæ; & idcirco cum quadrata ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8865 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8866 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8867 locitatum fuerint etiam ut ip$arum differentiæ, $imilis erit amba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8868 rum progre$$io. Quo demon$trato, con$equens e$t etiam ut areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8869 his lineis de$criptæ $int in progre$$ione con$imili cum $patiis quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8870 velocitatibus de$cribuntur. Ergo $i velocitas initio primi tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8871 ris <I>AK</I> exponatur per lineam <I>AB,</I> & velocitas initio $ecundi <I>KL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8872 per lineam <I>Kk,</I> & longitudo primo tempore de$cripta per aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8873 <I>AKkB</I>; velocitates omnes $ub$equentes exponentur per lineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8874 $ub$equentes <I>Ll, Mm,</I> &c. & longitudines de$criptæ per areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8875 <I>Kl, Lm,</I> &c. Et compo$ite, $i tempus totum exponatur per $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8876 mam partium $uarum <I>AM,</I> longitudo tota de$cripta exponetur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8877 $ummam partium $uarum <I>AMmB.</I> Concipe jam tempus <I>AM</I> ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8878 dividi in partes <I>AK, KL, LM,</I> &c. ut $int <I>CA, CK, CL, CM,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8879 &c. in progre$$ione Geometrica; & erunt partes illæ in eadem pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8880 gre$$ione, & velocitates <I>AB, Kk, Ll, Mm,</I> &c. in progre$$ione ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8881 dem inver$a, atque $patia de$cripta <I>Ak, Kl, Lm,</I> &c. æqualia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8882 <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8883 <p><I>Corol.</I> 1. Pater ergo quod, $i tempus exponatur per A$ymptoti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8884 partem quamvis <I>AD,</I> & velocitas in principio temporis per ordi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8885 natim applicatam <I>AB</I>; velocitas in fine temporis exponetur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8886 ordinatam <I>DG,</I> & $patium totum de$criptum per aream Hyper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8887 bolicam adjacentem <I>ABGD</I>; necnon $patium quod corpus ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8888 quod eodem tempore <I>AD,</I> velocitate prima <I>AB,</I> in Medio non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8889 re$i$tente de$cribere po$$et, per rectangulum <I>ABXAD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8890 <p><I>Corol.</I> 2. Unde datur $patium in Medio re$i$tente de$criptum, ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8891 piendo illud ad $patium quod velocitate uniformi <I>AB</I> in medio non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8892 re$i$tente $imul de$cribi po$$et, ut e$t area Hyperbolica <I>ABGD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8893 ad rectangulum <I>ABXAD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8894 <p><I>Corol.</I> 3. Datur etiam re$i$tentia Medii, $tatuendo eam ip$o mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8895 tus initio æqualem e$$e vi uniformi centripetæ, quæ in cadente cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8896 pore, tempore <I>AC,</I> in Medio non re$i$tente, generare po$$et velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8897 citatem <I>AB.</I> Nam $i ducatur <I>BT</I> quæ tangat Hyperbolam in <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8898 & occurrat A$ymptoto in <I>T</I>; recta <I>AT</I> æqualis erit ip$i <I>AC,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8899 tempus exponet quo re$i$tentia prima uniformiter continuata tolle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8900 re po$$et velocitatem totam <I>AB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8901 <p><I>Corol</I> 4. Et inde datur etiam proportio hujus re$i$tentiæ ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8902 gravitatis, aliamve quamvis datam vim centripetam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8903 <p><I>Corol.</I> 5. Et vicever$a, $i datur proportio re$i$tentiæ ad datam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8904 quamvis vim centripetam; datur tempus <I>AC,</I> quo vis centripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8905 re$i$tentiæ æqualis generare po$$it velocitatem quamvis <I>AB</I>; & in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8906 <pb n=222>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8907 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8908 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8909 de datur punctum <I>B</I> per quod Hyperbola, A$ymptoris <I>CH, CD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8910 de$cribi debet; ut & $patium <I>ABGD,</I> quod corpus incipiende
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8911 motum $uum cum v<*>citate illa <I>AB,</I> tempore quovis <I>AD,</I> in Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8912 dio $imilari re$i$tente de$cribere pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8913 <C>PROPOSITIO VI. THEOREMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8914 <p><I>Corpora Spherica homogemea & æqualia, re$i$tentiis in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8915 ratione velocitatum impodita, & $olis viribus in$itis incitata,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8916 temporibus quæ $unt reciproce ut velocitates $ub initio, de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8917 bunt $emper æqualia $patia, & annittunt partes velocitatuns pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8918 pertionales totis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8919 <p>A$ymptotis rectangulis <I>CD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8920 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8921 CH</I> de$cripta Hyperbola qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8922 vis <I>BbEe</I> $ecante perpendicula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8923 <I>AB, ab, DE, de,</I> in <I>B, b, E, e,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8924 exponantur velocitates initi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8925 ales per perpendicula <I>AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8926 DE,</I> & tempora per lineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8927 <I>Aa, Dd.</I> E$t ergo ut <I>Aa</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8928 <I>Dd</I> ita (per Hypothe$in) <I>DE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8929 ad <I>AB,</I> & ita (ex natura Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8930 perbolæ) <I>CA</I> ad <I>CD</I>; & com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8931 ponendo, ita <I>Ca</I> ad <I>Cd.</I> Ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8932 areæ <I>ABba, DEed,</I> hoc e$t, $patia de$cripta æquamtur inter $e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8933 & velocitates primæ <I>AB, DE</I> $unt ultimis <I>ab, de,</I> & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8934 (dividendo) partibus etiam $uis ami$$is <I>AB-ab, DE-de</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8935 portionales. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8936 <C>PROPOSITIO VII. THEOREMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8937 <p><I>Corpora Sphærica quibus re$i$titur in duplicata ratione velocitatum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8938 temporibus quæ $unt ut motus primi directe & re$i$tentiæ pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8939 mæ inver$e, ainittent partes motuum proportionales totis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8940 $patia de$cribent temporibus i$tis in velocitates primas ductis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8941 proportionalia.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8942 <p>Namque motuum partes ami$$æ $unt ut re$i$tentiæ & tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8943 <pb n=223>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8944 conjunctim. Igitur ut partes illæ $int totis proportionales, debe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8945 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8946 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8947 bit re$i$tentia & tempus conjunctim e$$e ut motus. Proinde tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8948 pus erit ut motus directe & re$i$tentia inver$e. Quare temporam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8949 particulis in ea ratione $umptis, corpora amittem $emper parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8950 culas motuum proportionales totis, adeoque retinebunt velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8951 tes in ratione prima. Et ob datam velocitatum rationem, de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8952 bent $emper $patia quæ $unt ut velocitates primæ & tempora con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8953 junctim. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8954 <p><I>Corol.</I> 1. Igitur $i æquivelocibus corporibus re$i$titur in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8955 ratione diametrorum: Globi homogenei quibu$cunque cum velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8956 tibus moti, de$cribendo $patia diametris $uis proportionalia, amit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8957 tent partes motuum proportionales totis. Motus enim Globi cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8958 ju$que erit ut ejus velocitas & Ma$$a conjunctim, id e$t, ut veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8959 tas & cubus diametri; re$i$tentia (per Hypothe$in) erit ut quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8960 tum diametri & quadratum velocitatis conjunctim; & tempus (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8961 hanc Propo$itionem) e$t in ratione priore directe & ratione po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8962 riore inver$e, id e$t, ut diameter directe & velocitas inver$e; ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8963 eoque $patium (tempori & velocitati proportionale) e$t ut dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8964 meter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8965 <p><I>Corol.</I> 2. Si æquivelocibus corporibus re$i$titur in ratione $e$quial-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8966 tera diametrorum: Globi homogenei quibu$cunque cum velocitati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8967 bus moti, de$cribendo $patia in $e$quialtera ratione diametrorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8968 amittent partes motuum proportionales totis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8969 <p><I>Corol.</I> 3. Et univer$aliter, $i æquivelocibus corporibus re$i$titur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8970 ratione dignitatis cuju$cunque diametrorum: $patia quibus Globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8971 homogenei, quibu$cunque cum velocitatibus moti, amittent partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8972 motuum proportionales totis, erunt ut cubi diametrorum ad digni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8973 tatem illam applicati. Sunto diametri D & E; & $i re$i$tentiæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8974 ubi velocitates æquales ponuntur, $int ut D<SUP><I>n</I></SUP> & E<SUP><I>n</I></SUP>: $putia quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8975 Globi quibu$cunque cum velocitatibus moti, amitteus partes mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8976 tuum proportionales totis, erunt ut D<SUP>3-<I>n</I></SUP> & E<SUP>3-<I>n</I></SUP>. Igitur de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8977 bendo $patia ip$is D<SUP>3-<I>n</I></SUP> & E<SUP>3-<I>n</I></SUP> proportionalia, retinebunt veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8978 tates in eadem ratione ad invicem ac $ub initio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8979 <p><I>Corol.</I> 4. Quod $i Globi non $int homogenei, $patium a Globo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8980 den$iore de$eriptum augeri debet in ratione den$itatis. Motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8981 enim, $ub pari velocitare, major e$t in ratione den$itatis, & tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8982 (per lianc Propo$itionem) augetur in ratione motus directe, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8983 $patium de$criptum in ratione temporis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8984 <pb n=224>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8985 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8986 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8987 <p><I>Corol.</I> 5. Et $i Globi moveantur in Mediis diver$is; $patium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8988 Medio, quod cæteris paribus magis re$i$tit, diminuendum erit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8989 ratione majoris re$i$tentiæ. Tempus enim (per hanc Propo$itio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8990 nem) diminuetur in ratione re$i$tentiæ auctæ, & $patium in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8991 tione temporis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8992 <C>LEMMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8993 <p><I>Momentum Genitæ æquatur Momentis laterum $ingulorum gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8994 rantium in eorundem laterum indices dignitatum & coefficien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8995 tia continue ductis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8996 <p>Genitam voco quantitatem omnem quæ ex lateribus vel termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8997 nis quibu$cunque, in Arithmetica per multiplicationem, divi$ionem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8998 & extractionem radicum; in Geometria per inventionem vel con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	8999 tentorum & laterum, vel extremarum & mediarum proportionalium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9000 ab$que additione & $ubductione generatur. Eju$modi quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9001 tes $unt Facti, Quoti, Radices, Rectangula, Quadrata, Cubi, Latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9002 quadrata, Latera cubica, & $imiles. Has quantitates ut indeterminatas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9003 & in$tabiles, & qua$i motu fluxuve perpetuo cre$centes vel decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9004 $centes, hic con$idero; & earum incrementa vel decrementa momen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9005 tanea $ub nomine Momentorum intelligo: ita ut incrementa pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9006 momentis addititiis $eu affirmativis, ac decrementa pro $ubductitiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9007 $eu negativis habeantur. Cave tamen intellexeris particulas fini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9008 tas. Particulæ finitæ non $unt momenta, $ed quantitates ip$æ ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9009 momentis genitæ. Intelligenda $unt principia jamjam na$centia fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9010 nitarum magnitudinum. Neque enim $pectatur in hoc Lemmate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9011 magnitudo momentorum, $ed prima na$centium proportio. Eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9012 dem recidit $i loco momentorum u$urpentur vel velocitates incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9013 mentorum ac decrementorum, (quas etiam motus, mutationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9014 & fluxiones quantitatum nominare licet) vel finitæ quævis quanti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9015 tates velocitatibus hi$ce proportionales. Lateris autem cuju$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9016 generantis Coefficiens e$t quantitas, quæ oritur applicando Geni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9017 tam ad hoc latus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9018 <p>Igitur $en$us Lemmatis e$t, ut, $i quantitatum quarumcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9019 perpetuo motu cre$centium vel decre$centium A, B, C, &c. mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9020 menta, vel mutationum velocitates dicantur <I>a, b, c,</I> &c. momentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9021 vel mutatio geniti rectanguli AB fuerit <I>a</I>B+<I>b</I>A, & geniti con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9022 tenti ABC momentum fuerit <I>a</I>BC+<I>b</I>AC+<I>c</I>AB: & genitarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9023 <pb n=225>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9024 dignitatum A<SUP>3</SUP>, A<SUP>3</SUP>, A<SUP>4</SUP>, A<SUP>1/2</SUP>, A<SUP>1/3</SUP>, A<SUP>1/3</SUP>, A<SUP>2/3</SUP>, A<SUP>-1</SUP>, A<SUP>-2</SUP>, & A<SUP>-1/2</SUP> momenta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9025 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9026 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9027 2<I>a</I>A, 3<I>a</I>A<SUP>2</SUP>, 4<I>a</I>A<SUP>3</SUP>, 1/2<I>a</I>A<SUP>-1/2</SUP>, 3/2<I>a</I>A<SUP>1/2</SUP>, 1/3<I>a</I>A<SUP>-2/3</SUP>, 2/3<I>a</I>A<SUP>-1/3</SUP>, -<I>a</I>A<SUP>-2</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9028 -2<I>a</I>A<SUP>-3</SUP>, & -1/2<I>a</I>A<SUP>-1/2</SUP> re$pective. Et generaliter, ut dignitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9029 cuju$cunque A<SUP><I>n/m</I></SUP> momentum fuerit <I>n/m a</I>A<SUP>(<I>n-m/m</I>)</SUP>. Item ut Genitæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9030 A<SUP>2</SUP>B momentum fuerit 2<I>a</I>AB+<I>b</I>A<SUP>2</SUP>; & Genitæ A<SUP>3</SUP>B<SUP>4</SUP>C<SUP>2</SUP> momen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9031 tum 3<I>a</I>A<SUP>2</SUP>B<SUP>4</SUP>C<SUP>2</SUP>+4<I>b</I>A<SUP>3</SUP>B<SUP>3</SUP>C<SUP>2</SUP>+2<I>c</I>A<SUP>3</SUP>B<SUP>4</SUP>C; & Genitæ (A<SUP>3</SUP>/B<SUP>2</SUP>) $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9032 ve A<SUP>3</SUP>B<SUP>-2</SUP> momentum 3<I>a</I>A<SUP>2</SUP>B<SUP>-2</SUP>-2<I>b</I>A<SUP>3</SUP>B<SUP>-3</SUP>: & $ic in cæteris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9033 Demon$tratur vero Lemma in hunc modum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9034 <p><I>Cas.</I> 1. Rectangulum quodvis motu perpetuo auctum AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9035 ubi de lateribus A & B deerant momentorum dimidia 1/2<I>a</I> & 1/2<I>b,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9036 fuit A-1/2<I>a</I> in B-1/2<I>b,</I> $eu AB-1/2<I>a</I> B-1/2<I>b</I> A+1/4<I>ab</I>; & quam pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9037 mum latera A & B alteris momentorum dimidiis aucta $unt, eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9038 dit A+1/2<I>a</I> in B+1/2<I>b</I> $eu AB+1/2<I>a</I> B+1/2<I>b</I> A+1/4<I>ab.</I> De hoc rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9039 gulo $ubducatur rectangulum prius, & manebit exce$$us <I>a</I>B+<I>b</I>A.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9040 Igitur laterum incrementis totis <I>a</I> & <I>b</I> generatur rectanguli incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9041 mentum <I>a</I>B+<I>b</I>A. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9042 <p><I>Cas.</I> 2. Ponatur AB $emper æquale G, & contenti ABC $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9043 GC momentum (per Cas. 1.) erit <I>g</I>C+<I>c</I>G, id e$t ($i pro G & <I>g</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9044 $cribantur AB & <I>a</I>B+<I>b</I>A) <I>a</I>BC+<I>b</I>AC+<I>c</I>AB. Et par e$t ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9045 tio contenti $ub lateribus quotcunque. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9046 <p><I>Cas.</I> 3. Ponantur latera A, B, C $ibi mutuo $emper æqualia; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9047 ip$ius A<SUP>2</SUP>, id e$t rectanguli AB, momentum <I>a</I>B+<I>b</I>A erit 2<I>a</I>A, ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9048 $ius autem A<SUP>3</SUP>, id e$t contenti ABC, momentum <I>a</I>BC+<I>b</I>AC
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9049 +<I>c</I>AB erit 3<I>a</I>A<SUP>2</SUP>. Et eodem argumento momentum dignitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9050 cuju$cunque A<SUP><I>n</I></SUP> e$t <I>na</I>A<SUP><I>n</I>-1.</SUP> <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9051 <p><I>Cas.</I> 4. Unde cum 1/A in A $it 1, momentum ip$ius 1/A ductum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9052 in A, una cum 1/A ducto in <I>a</I> erit momentum ip$ius 1, id e$t, ni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9053 hil. Proinde momentum ip$ius 1/A $eu ip$ius A<SUP>-1</SUP> e$t (-<I>a</I>/A<SUP>2</SUP>). Et ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9054 neraliter cum (1/A<SUP><I>n</I></SUP>) in A<SUP><I>n</I></SUP> $it 1, momentum ip$ius (1/A<SUP><I>n</I></SUP>) ductum in A<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9055 <pb n=226>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9056 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9057 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9058 una cum (1/A<SUP><I>n</I></SUP>) in <I>na</I>A<SUP><I>n</I>-1</SUP> erit nihil. Et propterea momentum ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9059 $ius (1/A<SUP><I>n</I></SUP>) $eu A<SUP>-<I>n</I></SUP> erit-(<I>na</I>/A<SUP><I>n</I></SUP>+1). <I>Q.ED.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9060 <p><I>Cas.</I> 5. Et cum A<SUP>1/2</SUP> in A<SUP>1/2</SUP> $it A, momentum ip$ius A<SUP>1/2</SUP> ductum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9061 2A<SUP>1/2</SUP> erit <I>a,</I> per Cas. 3: ideoque momentum ip$ius A<SUP>1/2</SUP> erit (<I>a</I>/2A 1/2)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9062 $ive 1/2<I>a</I>A<SUP>-1/2</SUP>. Et generaliter $i ponatur A<SUP><I>m/n</I></SUP> æquale B, erit A<SUP><I>m</I></SUP> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9063 quale B<SUP><I>n</I></SUP>, ideoque <I>ma</I>A<SUP><I>m</I>-1</SUP> æquale <I>nb</I>B<SUP><I>n</I>-1,</SUP> & <I>ma</I>A<SUP>-1</SUP> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9064 le <I>nb</I>B<SUP>-1</SUP> $eu <I>nb</I>A<SUP>-<I>m/n</I></SUP>, adeoque <I>m/n a</I>A<SUP>(<I>m-n/n</I>)</SUP> æquale <I>b,</I> id e$t, æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9065 momento ip$ius A<SUP><I>m/n</I></SUP>, <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9066 <p><I>Cas.</I> 6. Igitur Genitæ cuju$eunque A<SUP><I>m</I></SUP>B<SUP><I>n</I></SUP> momentum e$t mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9067 mentum ip$ius A<SUP><I>m</I></SUP> ductum in B<SUP><I>n</I></SUP>, una cum momento ip$ius B<SUP><I>n</I></SUP> du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9068 cto in A<SUP><I>m</I></SUP>, id e$t <I>ma</I>A<SUP><I>m</I>-1</SUP>B<SUP><I>n</I></SUP>+<I>nb</I>B<SUP><I>n</I>-1</SUP>A<SUP><I>m</I></SUP>; idque $ive dignita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9069 tum indices <I>m</I> & <I>n</I> $int integri numeri vel fracti, $ive affirmati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9070 vi vel negativi. Et par e$t ratio contenti $ub pluribus dignitati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9071 bus. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9072 <p><I>Corol.</I> 1. Hinc in continue proportionalibus, $i terminus unus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9073 datur, momenta terminorum reliquorum erunt ut iidem termini
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9074 multiplicati per numerum intervallorum inter ip$os & terminum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9075 datum. Sunto A, B, C, D, E, F continue proportionales; & $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9076 detur terminus C, momenta reliquorum terminorum erunt inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9077 $e ut-2A, -B, D, 2E, 3F.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9078 <p><I>Corol.</I> 2. Et $i in quatuor proportionalibus duæ mediæ dentur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9079 momenta extremarum erunt ut eædem extremæ. Idem intelligen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9080 dum e$t de lateribus rectanguli cuju$cunque dati.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9081 <p><I>Corol.</I> 3. Et $i $umma vel differentia duorum quadratorum detur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9082 momenta laterum erunt reciproce ut latera.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9083 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9084 <p>In literis quæ mihi cum Geometra periti$$imo <I>G.G. Leibnitio</I> an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9085 nis abhinc decem intercedebant, cum $ignificarem me compotem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9086 e$$e methodi determinandi Maximas & Minimas, ducendi Tangen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9087 tes, & $imilia peragendi, quæ in terminis $urdis æque ac in ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9088 nalibus procederet, & literis tran$po$itis hanc $ententiam involven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9089 <pb n=227>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9090 tibus [<I>Data Æquatione quotcunque Fluentes quantitates invelven-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9091 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9092 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9093 <I>te, Fluxiones invenire, & vice ver$a</I>] eandem celarem: re$crip$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9094 Vir Clari$$imus $e quoque in eju$modi methodum incidi$$e, & me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9095 thodum $uam communicavit a mea vix abludentem præterquam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9096 verborum & notarum formulis, & Idea generationis quantitatum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9097 Utriu$que fundamentum continetur in hoc Lemmate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9098 <C>PROPOSITIO VIII. THEOREMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9099 <p><I>Si corpus in Medio uniformi, Gravitate uniformiter agente, recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9100 a$cendat vel de$cendat, & $patium totum de$criptum di$tingua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9101 tur in partes æquales, inque principiis $ingularum partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9102 (addendo refi$tentiam Medii ad vim gravitatis, quando cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9103 pus a$cendit, vel $ubducendo ip$am quando corpus de$cendit)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9104 colligantur vires ab$olutæ; dico quod vires illæ ab$olutæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9105 in progre$$ione Geometrica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9106 <p>Exponatur enim vis gravitatis per datam lineam <I>AC</I>; re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9107 tia per lineam indefinitam <I>AK</I>; vis ab$oluta in de$cen$u corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9108 per differentiam <I>KC</I>; velocitas corporis per lineam <I>AP</I> (quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9109 media proportionalis inter <I>AK</I> & <I>AC,</I> ideoque in $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9110 ratione re$i$tentiæ;) incrementum re$i$tentiæ data temporis particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9111 la factum per lineolam <I>KL,</I> & contemporaneum velocitatis incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9112 mentum per lineolam <I>PQ</I>; & centro <I>C</I> A$ymptotis rectangulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9113 <I>CA, CH</I> de$cribatur Hyperbola quævis <I>BNS,</I> erectis perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9114 culis <I>AB, KN, LO, PR, QS</I> occurrens in <I>B, N, O, R, S.</I> Quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9115 niam <I>AK</I> e$t ut <I>APq,</I> erit hujus momentum <I>KL</I> ut illius mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9116 mentum 2<I>APQ,</I> id e$t, ut <I>AP</I> in <I>KC.</I> Nam velocitatis incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9117 mentum <I>PQ,</I> (per motus Leg.11.) proportionale e$t vi generanti <I>KC.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9118 Componatur ratio ip$ius <I>KL</I> cum rationc ip$ius <I>KN,</I> & fiet rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9119 angulum <I>KLXKN</I> ut <I>APXKCXKN</I>; hoc e$t, ob datum rect-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9120 angulum <I>KCXKN,</I> ut <I>AP.</I> Atqui areæ Hyperbolicæ <I>KNOL</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9121 ad rectangulum <I>KLXKN</I> ratio ultima, ubi coeunt puncta <I>K</I> & <I>L,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9122 e$t æqualitatis. Ergo area illa Hyperbolica evane$cens e$t ut <I>AP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9123 Componitur igitur area tota Hyperbolica <I>ABOL</I> ex particulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9124 <I>KNOL</I> velocitati <I>AP</I> $emper proportionalibus, & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9125 $patio velocitate i$ta de$cripto proportionalis e$t. Dividatur jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9126 area illa in partes æquales <I>ABMI, IMNK, KNOL,</I> &c. & vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9127 <pb n=228>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9128 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9129 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9130 res ab$olutæ <I>AC, IC, KC, LC,</I> &c. erunt in progre$$ione Geo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9131 metrica. <I>Q.E.D.</I> Et $imili argumento, in a$cen$u corporis, $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9132 mendo, ad contrariam partem puncti <I>A,</I> æquales areas <I>ABmi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9133 imnk, knol,</I> &c. con$tabit quod vires ab$olutæ <I>AC, iC, kC, lC,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9134 $unt continue proportionales. Ideoque $i $patia omnia in a$cen$u &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9135 de$cen$u capiantur æqualia; omnes vires ab$olutæ <I>lC, kC, iC, AC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9136 IC, KC, LC,</I> &c. erunt continue proportionales. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9137 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9138 <p><I>Corol.</I> 1. Hinc $i $patium de$criptum exponatur per aream Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9139 perbolicam <I>ABNK</I>; exponi po$$unt vis gravitatis, velocitas cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9140 poris & re$i$tentia Medii per lineas <I>AC, AP</I> & <I>AK</I> re$pective;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9141 & vice ver$a.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9142 <p><I>Corol.</I> 2. Et velocitatis maximæ, quam corpus in infinitum de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9143 dendo pote$t unquam acquirere, exponens e$t linea <I>AC.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9144 <p><I>Corol.</I> 3. Igitur $i in data aliqua velocitate cogno$catur re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9145 tia Medii, invenietur velocitas maxima, $umendo ip$am ad veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9146 <pb n=229>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9147 tatem illam datam in $ubduplicata ratione, quam habet vis Gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9148 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9149 SECUMDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9150 tatis ad Medii re$i$tentiam illam cognitam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9151 <C>PROPOSITIO IX. THEOREMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9152 <p><I>Po$itis jam demon$tratis, dico quod $i Tangentes angulorum $ecto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9153 ris Circularis & $ectoris Hyperbolici $umantur velocitatibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9154 proportionales, exi$tente radio ju$tæ magnitudinis: erit tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9155 omne a$cen$us futuri ut $ector Circuli, & tempus omne de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9156 $us præteriti ut $ector Hyperbolæ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9157 <p>Rectæ <I>AC,</I> qua vis gravitatis exponitur, perpendicularis & æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9158 qualis ducatur <I>AD.</I> Centro <I>D</I> $emidiametro <I>AD</I> de$cribatur tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9159 Circuli quadrans <I>AtE,</I> tum Hyperbola rectangula <I>AVZ</I> axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9160 habens <I>AX,</I> verticem principalem <I>A</I> & A$ymptoton <I>DC.</I> Jun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9161 gantur <I>Dp, DP,</I> & erit $ector Circularis <I>AtD</I> ut tempus a$cen$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9162 omnis futuri; & $ector Hyperbolicus <I>ATD</I> ut tempus de$cen$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9163 omnis præteriti. Si modo $ectorum Tangentes <I>Ap, AP</I> $int ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9164 velocitates.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9165 <p><I>Cas.</I> 1. Agatur enim <I>Dvq</I> ab$cindens $ectoris <I>ADt</I> & trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9166 guli <I>ADp</I> momenta, $eu particulas quam minimas $imul de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9167 tas <I>tDv</I> & <I>pDq.</I> Cum particulæ illæ, ob angulum commu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9168 nem <I>D,</I> $unt in duplicata ratione laterum, erit particula <I>tDv</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9169 ut (<I>qDp/pDquad</I>). Sed <I>pDquad.</I> e$t <I>ADquad+Apquad.</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9170 <I>ADquad+ADXAk</I> $eu <I>ADXCk</I>; & <I>qDp</I> e$t 1/2 <I>ADXpq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9171 Ergo $ectoris particula <I>tDv</I> e$t ut (<I>pq/Ck</I>), id e$t, ut velocitatis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9172 crementum quam minimum <I>pq</I> directe & vis illa <I>Ck</I> quæ velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9173 citatem diminuit inver$e, atque adeo ut particula temporis decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9174 mento re$pondens. Et componendo fit $umma particularum om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9175 nium <I>tDv</I> in $ectore <I>ADt,</I> ut $umma particularum temporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9176 $ingulis velocitatis decre$centis <I>Ap</I> particulis ami$$is <I>pq</I> re$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9177 dentium, u$que dum velocitas illa in nihilum diminuta eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9178 nuerit; hoc e$t, $ector totus <I>ADt</I> e$t ut a$cen$us totius futuri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9179 tempus. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9180 <pb n=230>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9181 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9182 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9183 <p><I>Cas.</I> 2. Agatur <I>DQV</I> ab$cindens tum $ectoris <I>DAV,</I> tum tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9184 anguli <I>DAQ</I> particulas quam minimas <I>TDV</I> & <I>PDQ</I>; & e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9185 runt hæ particulæ ad invicem ut <I>DTq.</I> ad <I>DPq.</I> id e$t ($i <I>TX</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9186 & <I>AP</I> parallelæ $int) ut <I>DXq.</I> ad <I>DAq.</I> vel <I>TXq.</I> ad <I>APq.</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9187 divi$im ut <I>DXq-TXq</I> ad <I>DAq-APq.</I> Sed ex natura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9188 Hyperbolæ <I>DXq-TXq</I> e$t <I>ADq,</I> & per Hypothe$in <I>APq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9189 e$t <I>ADXAK.</I> Ergo particulæ $unt ad invicem ut <I>ADq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9190 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9191 <I>ADq-ADXAK</I>; id e$t, ut <I>AD</I> ad <I>AD-AK</I> $eu <I>AC</I> ad <I>CK:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9192 ideoque $ectoris particula <I>TDV</I> e$t (<I>PDQXAC/CK</I>), atque adeo ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9193 datas <I>AC</I> & <I>AD,</I> ut (<I>PQ/CK</I>), id e$t, ut incrementum velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9194 directe utque vis generans incrementum inver$e, atque adeo ut par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9195 ticula temporis incremento re$pondens. Et componendo $it $um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9196 ma particularum temporis, quibus omnes velocitatis <I>AP</I> particulæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9197 <pb n=231>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9198 <I>PQ</I> generantur, ut $umma particularum $ectoris <I>ATD,</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9199 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9200 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9201 tempus totum ut $ector totus. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9202 <p><I>Corol.</I> 1. Hinc $i <I>AB</I> æquetur quartæ parti ip$ius <I>AC,</I> $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9203 quod corpus tempore quovis cadendo de$cribit, erit ad $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9204 quod corpus velocitate maxima <I>AC,</I> eodem tempore uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9205 progrediendo de$cribere pote$t, ut area <I>ABNK,</I> qua $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9206 cadendo de$criptum exponitur, ad aream <I>ATD</I> qua tempus ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9207 ponitur. Nam cum $it <I>AC</I> ad <I>AP</I> ut <I>AP</I> ad <I>AK,</I> erit (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9208 Corol. 1, Lem. 11 hujus) <I>LK</I> ad <I>PQ</I> ut 2<I>AK</I> ad <I>AP,</I> hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9209 ut 2<I>AP</I> ad <I>AC,</I> & inde <I>LK</I> ad 1/2<I>PQ</I> ut <I>AP</I> ad (1/4<I>AC</I> vel)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9210 <I>AB</I>; e$t & <I>KN</I> ad (<I>AC</I> vel) <I>AD</I> ut <I>AB</I> ad <I>CK</I>; itaque ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9211 æquo <I>LKN</I> ad <I>DPQ</I> ut <I>AP</I> ad <I>CK.</I> Sed erat <I>DPQ</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9212 <I>DTV</I> ut <I>CK</I> ad <I>AC.</I> Ergo rur$us ex æquo <I>LKN</I> e$t ad <I>DTV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9213 ut <I>AP</I> ad <I>AC</I>; hoc e$t, ut velocitas corporis cadentis ad veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9214 tatem maximam quam corpus cadendo pote$t acquirere. Cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9215 igitur arearum <I>ABNK</I> & <I>ATD</I> momenta <I>LKN</I> & <I>DTV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9216 $unt ut velocitates, erunt arearum illarum partes omnes $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9217 genitæ ut $patia $imul de$cripta, ideoque areæ totæ ab initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9218 genitæ <I>ABNK</I> & <I>ATD</I> ut $patia tota ab initio de$cen$us de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9219 $cripta. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9220 <p><I>Corol.</I> 2. Idem con$equitur etiam de $patio quod in a$cen$u de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9221 $cribitur. Nimirum quod $patium illud omne $it ad $patium, uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9222 formi cum velocitate <I>AC</I> eodem tempore de$criptum, ut e$t area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9223 <I>ABnk</I> ad $ectorem <I>ADt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9224 <p><I>Corol.</I> 3. Velocitas corporis tempore <I>ATD</I> cadentis e$t ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9225 locitatem, quam eodem tempore in $patio non re$i$tente acquire-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9226 ret, ut triangulum <I>APD</I> ad $ectorem Hyperbolicum <I>ATD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9227 Nam velocitas in Medio non re$i$tente foret ut tempus <I>ATD,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9228 in Medio re$i$tente e$t ut <I>AP,</I> id e$t, ut triangulum <I>APD.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9229 velocitates illæ initio de$cen$us æquantur inter $e, perinde ut areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9230 illæ <I>ATD, APD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9231 <p><I>Corol.</I> 4. Eodem argumento velocitas in a$cen$u e$t ad velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9232 tem, qua corpus eodem tempore in $patio non re$i$tente omnem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9233 $uum a$cendendi motum amittere po$$et, ut triangulum <I>ApD</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9234 $ectorem Circularem <I>AtD</I>; $ive ut recta <I>Ap</I> ad arcum <I>At.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9235 <p><I>Corol.</I> 5. E$t igitur tempus quo corpus in Medio re$i$tente caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9236 do velocitatem <I>AP</I> acquirit, ad tempus quo velocitatem maximam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9237 <I>AC</I> in $patio non re$i$tente cadendo acquirere po$$et, ut $ector
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9238 <I>ADT</I> ad triangulum <I>ADC</I>: & tempus, quo velocitatem <I>Ap</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9239 <pb n=232>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9240 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9241 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9242 Medio re$i$tente a$cendendo po$$it amittere, ad tempus quo velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9243 citatem eandem in $patio non re$i$tente a$cendendo po$$et amit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9244 tere, ut arcus <I>At</I> ad ejus tangentem <I>Ap.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9245 <p><I>Corol.</I> 6. Hinc ex dato tempore datur $patium a$cen$u vel de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9246 $cen$u de$criptum. Nam corporis in infinitum de$cendentis datur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9247 velocitas maxima, per Corol. 2, & 3, Theor. VI, Lib. 11; indeque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9248 datur tempus quo corpus velocitatem illam in $patio non re$i$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9249 cadendo po$$et acquirere. Et $umendo Sectorem <I>ADT</I> vel <I>ADt</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9250 ad triangulum <I>ADC</I> in ratione temporis dati ad tempus modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9251 inventum; dabitur tum velocitas <I>AP</I> vel <I>Ap,</I> tum area <I>ABNK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9252 vel <I>ABnk,</I> quæ e$t ad $ectorem <I>ADT</I> vel <I>ADt</I> ut $patium quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9253 $itum ad $patium quod tempore dato, cum velocitate illa maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9254 jam ante inventa, uni$ormiter de$cribi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9255 <p><I>Corol.</I> 7. Et regrediendo, ex dato a$cen$us vel de$cen$us $patio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9256 <I>ABnk</I> vel <I>ABNK,</I> dabitur tempus <I>ADt</I> vel <I>ADT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9257 <C>PROPOSITIO X. PROBLEMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9258 <p><I>Tendat uniformis vis gravitatis directe ad planum Horizontis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9259 $itque re$i$tentia ut Medii den$itas & quadratum velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9260 conjunctim: requiritur tum Medii den$itas in locis $ingulis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9261 quæ faciat ut corpus in data quavis linea curva moveatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9262 tum corporis velocitas & Medii re$i$tentia in locis $ingulis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9263 <p>Sit <I>PQ</I> planum illud pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9264 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9265 no Schematis perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9266 lare; <I>PFHQ</I> linea curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9267 plano huic occurrens in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9268 punctis <I>P</I> & <I>Q; G, H, I, K</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9269 loca quatuor corporis in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9270 curva ab <I>F</I> ad <I>Q</I> pergentis;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9271 & <I>GB, HC, ID, KE</I> or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9272 dinatæ quatuor parallelæ ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9273 his punctis ad horizontem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9274 demi$$æ & lineæ horizontali <I>PQ</I> ad puncta <I>B, C, D, E</I> in$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9275 tes; & $int <I>BC, CD, DE</I> di$tantiæ Ordinatarum inter $e æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9276 les. A punctis <I>G</I> & <I>H</I> ducantur rectæ <I>GL, HN</I> curvam tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9277 gentes in <I>G</I> & <I>H,</I> & Ordinatis <I>CH, DI</I> $ur$um productis occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9278 rentes in <I>L</I> & <I>N,</I> & compleatur parallelogrammum <I>HCDM.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9279 <pb n=233>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9280 Et tempora quibus corpus de$cribit arcus <I>GH, HI,</I> erunt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9281 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9282 SECUNDUS</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9283 $ubduplicata ratione altitudinum <I>LH, NI</I> quas corpus tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9284 ribus illis de$cribere po$$et, a tangentibus cadendo: & velocitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9285 erunt ut longitudines de$criptæ <I>GH, HI</I> directe & tempora in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9286 ver$e. Exponantur tempora per T & <I>t,</I> & velocitates per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9287 (<I>GH</I>/T) & (<I>HI/t</I>): & decrementum velocitatis tempore <I>t</I> factum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9288 ponetur per (<I>GH</I>/T)-(<I>HI/t</I>). Hoc decrementum oritur a re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9289 corpus retardante & gravitate corpus accelerante. Gravitas in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9290 corpore cadente & $patium <I>NI</I> cadendo de$cribente, generat ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9291 locitatem qua duplum illud $patium eodem tempore de$cribi po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9292 tui$$et (ut <I>Galilæus</I> demon$travit) id e$t, velocitatem (2<I>NI/t</I>): at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9293 in corpore arcum <I>HI</I> de$cribente, auget arcum illum $ola longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9294 tudine <I>HI-HN</I> $eu (<I>MIXNI/HI</I>), ideoque generat tantum velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9295 citatem (2<I>MIXNI/tXHI</I>). Addatur hæc velocitas ad decrementum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9296 prædictum, & habebitur decrementum velocitatis ex re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9297 $ola oriundum, nempe (<I>GH</I>/T)-<I>(HI/t)+(2MIXNI/tXHI).</I> Proindeque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9298 cum gravitas eodem tempore in corpore cadente generet velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9299 (2<I>NI/t</I>); Re$i$tentia erit ad Gravitatem ut (<I>GH</I>/T)-<I>(HI/t)+(2MIXNI/tXHI)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9300 ad (<I>2NI/t</I>), $ive ut (<I>tXGH</I>/T)-<I>HI+(2MIXNI/HI)</I> ad 2<I>NI.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9301 <p>Jam pro ab$ci$$is <I>CB, CD, CE</I> $cribantur -<I>o, o,</I> 20. Pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9302 Ordinata <I>CH</I> $cribatur P, & pro <I>MI</I> $cribatur $eries quælibet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9303 Q<I>o</I>+R<I>oo</I>+S<I>o</I><SUP>3</SUP>+&c. Et $eriei termini omnes po$t primum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9304 nempe R<I>oo</I>+S<I>o</I><SUP>3</SUP>+&c. erunt <I>NI,</I> & Ordinatæ <I>DI, EK,</I> & <I>BG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9305 erunt P-Q<I>o</I>-R<I>oo</I>-S<I>o</I><SUP>3</SUP>-&c, P-2Q<I>o</I>-4R<I>oo</I>-8S<I>o</I><SUP>3</SUP>-&c,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9306 & P+Q<I>o</I>-R<I>oo</I>+S<I>o</I><SUP>3</SUP>-&c. re$pective. Et quadrando diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9307 rentias Ordinatarum <I>BG-CH</I> & <I>CH-DI,</I> & ad quadrata pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9308 deuntia addendo quadrata ip$arum <I>BC, CD,</I> habebuntur arcuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9309 <I>GH, HI</I> quadrata <I>oo</I>+QQ<I>oo</I>+2QR<I>o</I><SUP>3</SUP>+&c, & <I>oo</I>+QQ<I>oo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9310 +2QR<I>o</I> +&c. Quorum radices <I>o</I>√1+QQ-(QR<I>oo</I>/√1+QQ), &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9311 <pb n=234>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9312 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9313 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9314 <I>o</I>√1+QQ+(QR<I>oo</I>/√1+QQ) $unt arcus <I>GH</I> & <I>HI.</I> Præterea $i ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9315 Ordinata <I>CH</I> $ubducatur $emi$umma Ordinatarum <I>BG</I> ac <I>DI,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9316 & ab Ordinata <I>DI</I> $ubducatur $emi$umma Ordinatarum <I>CH</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9317 <I>EK,</I> manebunt arcuum <I>GI</I> & <I>HK</I> $agittæ R<I>oo</I> & R<I>oo</I>+3S<I>o</I><SUP>3</SUP>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9318 Et hæ $unt lineolis <I>LH</I> & <I>NI</I> proportionales, adeoque in du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9319 plicata ratione temporum infinite parvorum T & <I>t,</I> & inde ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9320 <I>t</I>/T e$t √(R+3S<I>o</I>/R) $eu (R+3/2S<I>o</I>/R): & (<I>tXGH</I>/T)-<I>HI+(2MIXNI/HI),</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9321 $ub$tituendo ip$orum <I>t</I>/T, <I>GH, HI, MI</I> & <I>NI</I> valores jam in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9322 ventos, evadit (3S<I>oo</I>/2R)√1+QQ. Et cum 2<I>NI</I> $it 2R<I>oo,</I> Re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9323 $i$tentia jam erit ad Gravitatem ut (3S<I>oo</I>/2R)√1+QQ ad 2R<I>oo,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9324 id e$t, ut 3S√1+QQ ad 4RR.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9325 <p>Velocitas autem ea e$t quacum corpus de loco quovis <I>H,</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9326 cundum tangentem <I>HN</I> egrediens, in Parabola diametrum <I>HC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9327 & latus rectum (<I>HNq/NI</I>) $eu (1+QQ/R) habente, deinceps in vacuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9328 moveri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9329 <p>Et re$i$tentia e$t ut Medii den$itas & quadratum velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9330 conjunctim, & propterea Medii den$itas e$t ut re$i$tentia directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9331 & quadratum velocitatis inver$e, id e$t, ut (3S√1+QQ/4RR) directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9332 & (1+QQ/R) inver$e, hoc e$t, ut (S/R√1+QQ). <I>Q.EI.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9333 <p><I>Corol.</I> 1. Si tangens <I>HN</I> producatur utrinque donec occurrat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9334 Ordinatæ cuilibet <I>AF</I> in <I>T</I>: erit (<I>HT/AC</I>) æqualis √1+QQ, adeo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9335 que in $uperioribus pro √1+QQ $cribi pote$t. Qua ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9336 Re$i$tentia erit ad Gravitatem ut 3SX<I>HT</I> ad 4RRX<I>AC,</I> Velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9337 citas erit ut (<I>HT/AC</I>√R), & Medii den$itas erit ut (SX<I>AC</I>/RX<I>HT</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9338 <p><I>Corol.</I> 2. Et hinc, $i Curva linea <I>PFHQ</I> definiatur per rela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9339 tionem inter ba$em $eu ab$ci$$am <I>AC</I> & ordinatim applicatam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9340 <pb n=235>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9341 <I>CH,</I> (ut moris e$t) & valor ordinatim applicatæ re$olvatur in $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9342 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9343 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9344 riem convergentem: Problema per primos $eriei terminos expe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9345 dite $olvetur, ut in exemplis $equentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9346 <p><I>Exempl.</I> 1. Sit Linea <I>PFHQ</I> Semicirculus $uper diametro <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9347 de$criptus, & requiratur Medii den$itas quæ faciat ut Projectile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9348 in hac linea moveatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9349 <p>Bi$ecetur diameter <I>PQ</I> in <I>A,</I> dic <I>AQ n, AC a, CH e,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9350 <I>CD o</I>: & erit <I>DIq</I> $eu <I>AQq-ADq=nn-aa-2ao-oo,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9351 <I>ee-2ao-oo,</I> & radice per methodum no$tram extracta, fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9352 <I>DI=e-(ao/e)-(oo/2e)-(aaoo/2e<SUP>3</SUP>)-(ao<SUP>3</SUP>/2e<SUP>3</SUP>)-(a<SUP>3</SUP>o<SUP>3</SUP>/2e<SUP>3</SUP>)</I>-&c. Hic $cribatur <I>nn</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9353 pro <I>ee+aa,</I> & evadet <I>DI=e-(ao/e)-(nnoo/2e<SUP>3</SUP>)-(anno<SUP>3</SUP>/2e<SUP>3</SUP>)</I>-&c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9354 <p>Huju$modi $eries di$tinguo in terminos $ucce$$ivos in hunc mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9355 dum. Terminum primum appello in quo quantitas infinite par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9356 va <I>o</I> non extat; $ecundum in quo quantitas illa e$t unius dimen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9357 $ionis, tertium in quo extat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9358 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9359 duarum, quartum in quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9360 trium e$t, & $ic in infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9361 tum. Et primus terminus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9362 qui hic e$t <I>e,</I> denotabit $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9363 per longitudinem Ordinatæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9364 <I>CH</I> in$i$tentis ad initium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9365 indefinitæ quantitatis <I>o</I>; $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9366 cundus terminus qui hic e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9367 (<I>ao/e</I>), denotabit differentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9368 inter <I>CH</I> & <I>DN,</I> id e$t, lineolam <I>MN</I> quæ ab$cinditur com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9369 plendo parallelogrammum <I>HCDM,</I> atque adeo po$itionem tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9370 gentis <I>HN</I> $emper determinat: ut in hoc ca$u capiendo <I>MN</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9371 <I>HM</I> ut e$t (<I>ao/e</I>) ad <I>o,</I> $eu <I>a</I> ad <I>e.</I> Terminus tertius qui hic e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9372 (<I>nnoo/2e<SUP>3</SUP></I>) de$ignabit lineolam <I>IN</I> quæ jacet inter tangentem & cur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9373 vam, adeoque determinat angulum contactus <I>IHN</I> $eu curvatu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9374 ram quam curva linea habet in <I>H.</I> Si lineola illa <I>IN</I> finitæ e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9375 magnitudinis, de$ignabitur per terminum tertium una cum $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9376 quentibus in infinitum. At $i lineola illa minuatur in infinitum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9377 <pb n=236>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9378 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9379 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9380 termini $ub$equentes evadent infinite minores tertio, ideoque neg-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9381 ligi po$$unt. Terminus quartus determinat variationem curva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9382 turæ, quintus variationem variationis, & $ic deinceps. Unde obi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9383 ter patet u$us non contemnendus harum Serierum in $olutione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9384 Problematum quæ pendent a tangentibus & curvatura curvarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9385 <p>Conferatur jam $eries <I>e-(ao/e)-(nnoo/2e<SUP>3</SUP>)-(anno<SUP>3</SUP>/2e<SUP>5</SUP>)</I>-&c, cum $erie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9386 P-Q<I>o</I>-R<I>oo</I>-S<I>o</I><SUP>3</SUP>-&c. & perinde pro P, Q, R & S $cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9387 <I>e, (a/e), (nn/2e<SUP>3</SUP>)</I> & (<I>ann/2e<SUP>5</SUP></I>), & pro √1+QQ $cribatur √1+(<I>aa/ee</I>) $eu <I>n/e,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9388 prodibit Medii den$itas ut (<I>a/ne</I>), hoc e$t, (ob datam <I>n,</I>) ut <I>a/e,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9389 (<I>AC/CH</I>), id e$t, ut tangentis longitudo illa <I>HT</I> quæ ad $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9390 trum <I>AF</I> ip$i <I>PQ</I> normaliter in$i$tentem terminatur: & re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9391 tia erit ad gravitatem ut 3<I>a</I> ad 2<I>n,</I> id e$t, ut 3 <I>AC</I> ad Circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9392 diametrum <I>PQ</I>: velocitas autem erit ut √<I>CH.</I> Quare $i corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9393 ju$ta cum velocitate $ecundum lineam ip$i <I>PQ</I> parallelam exeat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9394 de loco <I>F,</I> & Medii den$itas in $ingulis locis <I>H</I> $it ut longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9395 tudo tangentis <I>HT,</I> & re$i$tentia etiam in loco aliquo <I>H</I> $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9396 vim gravitatis ut 3 <I>AC</I> ad <I>PQ,</I> corpus illud de$cribet Circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9397 quadrantem <I>FHQ. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9398 <p>At $i corpus idem de loco <I>P,</I> $ecundum lineam ip$i <I>PQ</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9399 pendicularem egrederetur, & in arcu $emicirculi <I>PFQ</I> moveri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9400 inciperet, $umenda e$$et <I>AC</I> $eu <I>a</I> ad contrarias partes centri <I>A,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9401 & propterea $ignum ejus mutandum e$$et & $cribendum -<I>a</I> pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9402 +<I>a.</I> Quo pacto prodiret Medii den$itas ut -<I>a/e</I>. Negativam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9403 autem den$itatem, hoc e$t, quæ motus corporum accelerat, Na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9404 tura non admittit: & propterea naturaliter fieri non pote$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9405 corpus a$cendendo a <I>P</I> de$cribat Circuli quadrantem <I>PF.</I> Ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9406 hunc effectum deberet corpus a Medio impellente accelerari, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9407 a re$i$tente impediri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9408 <p><I>Exempl.</I> 2. Sit linea <I>PFHQ</I> Parabola, axem habens <I>AF</I> ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9409 rizonti <I>PQ</I> perpendicularem, & requiratur Medii den$itas quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9410 faciat ut Projectile in ip$a moveatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9411 <p>Ex natura Parabolæ, rectangulum <I>PDQ</I> æquale e$t rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9412 gulo $ub ordinata <I>DI</I> & recta aliqua data: hoc e$t, $i dicantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9413 <pb n=237>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9414 recta illa <I>b, PC a, PQ c, CH e</I> & <I>CD o</I>; rectangulum <I>a+o</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9415 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9416 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9417 in <I>c-a-o</I> $eu <I>ac-aa-2ao+co-oo</I> æquale e$t rectangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9418 <I>b</I> in <I>DI,</I> adeoque <I>DI</I> æquale <I>(ac-aa/b)+(c-2a/b)o-(oo/b).</I> Jam $cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9419 bendus e$$et hujus $eriei $ecundus terminus <I>(c-2a/b)o</I> pro Q<I>o,</I> ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9420 tius item terminus (<I>oo/b</I>) pro R<I>oo.</I> Cum vero plures non $int ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9421 mini, debebit quarti coefficiens S evane$cere, & propterea quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9422 titas (S/R√1+QQ) cui Medii den$itas proportionalis e$t, nihil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9423 erit. Nulla igitur Medii den$itate movebitur Projectile in Para-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9424 bola, uti olim demon$travit <I>Galilæus, Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9425 <p><I>Exempl.</I> 3. Sit linea <I>AGK</I> Hyperbola, A$ymptoton habens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9426 <I>NX</I> plano horizontali <I>AK</I> perpendicularem; & quæratur Medii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9427 den$itas quæ faciat ut Projectile moveatur in hac linea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9428 <p>Sit <I>MX</I> A$ymptotos altera, ordinatim applicatæ <I>DG</I> productæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9429 occurrens in <I>V,</I> & ex natura Hyperbolæ, rectangulum <I>XV</I> in <I>VG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9430 dabitur. Datur autem ratio <I>DN</I> ad <I>VX,</I> & propterea datur etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9431 rectangulum <I>DN</I> in <I>VG.</I> Sit illud <I>bb</I>; & completo parallelogrammo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9432 <I>DNXZ,</I> dicatur <I>BN a, BD o, NX c,</I> & ratio data <I>VZ</I> ad <I>ZX</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9433 vel <I>DN</I> ponatur e$$e <I>m/n</I>. Et erit <I>DN</I> æqualis <I>a-o, VG</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9434 <I>(bb/a-o), VZ</I> æqualis <I>m/n&horbar;a-o,</I> & <I>GD</I> $eu <I>NX-VZ-VG</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9435 qualis <I>c-m/n a+m/n o-(bb/a-o).</I> Re$olvatur terminus (<I>bb/a-o</I>) in $eriem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9436 convergentem <I>(bb/a)+(bb/aa)o+(bb/a<SUP>3</SUP>)oo+(bb/a<SUP>4</SUP>)o<SUP>3</SUP></I> &c. & $iet <I>GD</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9437 lis <I>c-m/n a-(bb/a)+m/n o-(bb/aa)o-(bb/a<SUP>3</SUP>)o<SUP>2</SUP>-(bb/a<SUP>4</SUP>)o<SUP>3</SUP></I> &c. Hujus $eriei termi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9438 nus $ecundus <I>m/no-(bb/aa)o</I> u$urpandus e$t pro Q<I>o,</I> tertius cum $igno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9439 mutato <I>(bb/a<SUP>3</SUP>)o<SUP>2</SUP></I> pro R<I>o</I><SUP>2</SUP>, & quartus cum $igno etiam mutato <I>(bb/a<SUP>4</SUP>)o<SUP>1</SUP></I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9440 pro S<I>o</I><SUP>3</SUP>, eorumque coefficientes <I>m/n-(bb/aa), (bb/a<SUP>3</SUP>)</I> & (<I>bb/a<SUP>4</SUP></I>) $cribendæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9441 in Regula $uperiore, pro Q, R & S. Quo facto prodit medii den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9442 <pb n=238>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9443 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9444 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9445 ut (<I>(bb/a<SUP>4</SUP>)/(bb/a<SUP>3</SUP>)√1+(mm/nn)-(2mbb/naa)+(b<SUP>4</SUP>/a<SUP>4</SUP>)</I>) $eu (1/<I>√aa+(mm/nn)aa-(2mbb/n)+(b<SUP>4</SUP>/aa)</I>) id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9446 e$t, $i in <I>VZ</I> $umatur <I>VY</I> æqualis <I>VG,</I> ut (1/<I>XY</I>). Namque <I>aa</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9447 <I>(mm/nn)aa-(2mbb/n)+(b<SUP>4</SUP>/aa)</I> $unt ip$arum <I>XZ</I> & <I>ZY</I> quadrata. Re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9448 tia autem invenitur in ratione ad gravitatem quam habet 3 <I>XY</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9449 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9450 2<I>YG</I> & velocitas ea e$t quacum corpus in Parabola pergeret verti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9451 cem <I>G,</I> diametrum <I>DG,</I> & latus rectum (<I>XYquad./VG</I>) habente. Pona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9452 tur itaque quod Medii den$itates in locis $ingulis <I>G</I> $int reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9453 ut di$tantiæ <I>XY,</I> quodque re$i$tentia in loco aliquo <I>G</I> $it ad gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9454 vitatem ut 3<I>XY</I> ad 2<I>YG</I>; & corpus de loco <I>A,</I> ju$ta cum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9455 tate emi$$um, de$cribet Hyperbolam illam <I>AGK. Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9456 <p><I>Exempl.</I> 4. Ponatur indefinite, quod linea <I>AGK</I> Hyperbola $it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9457 centro <I>X</I> A$ymptotis <I>MX, NX</I> ea lege de$cripta, ut con$tructo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9458 rectangulo <I>XZDN</I> cujus latus <I>ZD</I> $ecet Hyperbolam in <I>G</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9459 <pb n=239>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9460 A$ymptoton ejus in <I>V,</I> fuerit <I>VG</I> reciproce ut ip$ius <I>ZX</I> vel <I>DN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9461 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9462 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9463 dignitas aliqua <I>DN<SUP>n</SUP>,</I> cujus index e$t numerus <I>n</I>: & quæratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9464 Medii den$itas, qua Projectile progrediatur in hac curva.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9465 <p>Pro <I>BN, BD, NX</I> $cribantur A, O, C re$pective, $itque <I>VZ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9466 ad <I>XZ</I> vel <I>DN</I> ut <I>d</I> ad <I>e,</I> & <I>VG</I> æqualis (<I>bb/DN<SUP>n</SUP></I>), & erit <I>DN</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9467 lis A-O, <I>VG</I>=(<I>bb</I>/&horbar;<SUP><I>n</I></SUP>A-O), <I>VZ</I>=<I>d/e</I>&horbar;A-O, & <I>GD</I> $eu <I>NX-VZ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9468 -VG</I> æqualis C-<I>d/e</I>A+<I>d/e</I>O-(<I>bb</I>/&horbar;<SUP><I>n</I></SUP>A-O). Re$olvatur terminus ille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9469 (<I>bb</I>/&horbar;<SUP><I>n</I></SUP>A-O) in $eriem infinitam (<I>bb</I>/A<SUP><I>n</I></SUP>)+(<I>nbb</I>/A<SUP><I>n</I>+1</SUP>)O+(<I>nn+n</I>/2A<SUP><I>n</I>+2</SUP>)<I>bb</I>O<SUP>2</SUP>+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9470 (<I>n<SUP>3</SUP>+3nn+2n</I>/6A<SUP><I>n</I>+3</SUP>)<I>bb</I>O<SUP>3</SUP> &c. ac fiet <I>GD</I> æqualis C-<I>d/e</I>A-(<I>bb</I>/A<SUP><I>n</I></SUP>)+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9471 <I>d/e</I>O-(<I>nbb</I>/A<SUP><I>n</I>+1</SUP>)O-(<I>+nn+n</I>/2A<SUP><I>n</I>+2</SUP>)<I>bb</I>O<SUP>2</SUP>-(<I>+n<SUP>3</SUP>+3nn+2n</I>/6A<SUP><I>n</I>+3</SUP>)<I>bb</I>O<SUP>3</SUP> &c. Hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9472 jus $eriei terminus $ecundus <I>d/e</I>O-(<I>nbb</I>/A<SUP><I>n</I>+1</SUP>)O u$urpandus e$t pro Q<I>o,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9473 tertius (<I>nn+n</I>/2A<SUP><I>n</I>+2</SUP>)<I>bb</I>O<SUP>2</SUP> pro R<I>o</I><SUP>2</SUP>, quartus (<I>n<SUP>3</SUP>+3nn+2n</I>/6A<SUP><I>n</I>+3</SUP>)<I>bb</I>O<SUP>3</SUP> pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9474 S<I>o</I><SUP>3</SUP>. Et inde Medii den$itas (S/R√1+QQ), in loco quovis <I>G,</I> fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9475 (<I>n</I>+2/3√A<SUP>2</SUP>+(<I>dd/ee</I>)A<SUP>2</SUP>-(<I>2dnbb/e</I>A<SUP><I>n</I></SUP>)A+(<I>nnb</I><SUP>4</SUP>/A<SUP>2<I>n</I></SUP>)), adeoque $i in <I>VZ</I> capiatur <I>VY</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9476 æqualis <I>nXVG,</I> den$itas illa e$t reciproce ut <I>XY.</I> Sunt enim A<SUP>2</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9477 & (<I>dd/ee</I>)A<SUP>3</SUP>-(2<I>dnbb/e</I>A<SUP><I>n</I></SUP>)A+(<I>nnb</I><SUP>4</SUP>/A<SUP>2<I>n</I></SUP>) ip$arum <I>XZ</I> & <I>ZY</I> quadrata. Re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9478 tia autem in eodem loco <I>G</I> fit ad gravitatem ut 3S in (<I>XY</I>/A) ad 4RR,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9479 id e$t, <I>XY</I> ad (<I>2nn+2n/n+2)VG.</I> Et velocitas ibidem ea ip$a e$t qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9480 cum corpus projectum in Parabola pergeret, verticem <I>G,</I> diametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9481 <I>GD</I> & latus rectum (1+QQ/R) $eu (2<I>XYquad./&horbar;nn+n</I>in<I>VG</I>) habente. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9482 <pb n=240>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9483 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9484 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9485 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9486 <p>Eadem ratione qua prodiit den$itas Medii ut (SX<I>AC</I>/RX<I>HT</I>) in Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9487 rollario primo, $i re$i$tentia ponatur ut velocitatis V dignitas quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9488 libet V<SUP><I>n</I></SUP> prodibit den$itas Medii ut (S/R(4-<I>n</I>/2))X(&horbar;<I>AC/HT</I>\|<SUP><I>n</I>-1.</SUP>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9489 <p>Et propterea $i Curva inveniri pote$t ea lege ut data fuerit ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9490 (S/R(4-<I>n</I>/2)) ad (&horbar;<I>HT/AC</I>\|<SUP><I>n</I>-1</SUP>), vel (S<SUP>2</SUP>/R<SUP>4-<I>n</I></SUP>) ad (&horbar;1+QQ\|<SUP><I>n</I>-1</SUP>): corpus move-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9491 bitur in hac Curva in uniformi Medio cum re$i$tentia quæ $it ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9492 velocitatis dignitas V<SUP><I>n</I></SUP>. Sed redeamus ad Curvas $impliciores.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9493 <p>Quoniam motus non fit in Parabola ni$i in Medio non re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9494 te, in Hyperbolis vero hic de$criptis fit per re$i$tentiam perpetuam;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9495 per$picuum e$t quod Linea, quam projectile in Medio uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9496 re$i$tente de$cribit, propius accedit ad Hyperbolas ha$ce quam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9497 Parabolam. E$t utique linea illa Hyperbolici generis, $ed quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9498 circa verticem magis di$tat ab A$ymptotis; in partibus a vertice
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9499 remotioribus propius ad ip$as accedit quam pro ratione Hyper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9500 bolarum quas hic de$crip$i. Tanta vero non e$t inter has & illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9501 differentia, quin illius loco po$$int hæ in rebus practicis non in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9502 commode adhiberi. Et utiliores for$an futuræ $unt hæ, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9503 Hyperbola magis accurata & $imul magis compo$ita. Ip$æ vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9504 in u$um $ic deducentur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9505 <p>Compleatur parallelogrammum <I>XYGT,</I> & recta <I>GT</I> tanget
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9506 Hyperbolam in <I>G,</I> ideoque den$itas Medii in <I>G</I> e$t reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9507 tangens <I>GT,</I> & velocitas ibidem ut √(<I>GTq/GV</I>), re$i$tentia autem ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9508 vim gravitatis ut <I>GT</I> ad <I>(2nn+2n/n+2)GV.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9509 <p>Proinde $i corpus de loco <I>A</I> $ecundum rectam <I>AH</I> projectum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9510 de$cribat Hyperbolam <I>AGK,</I> & <I>AH</I> producta occurrat A$ymp-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9511 toto <I>MX</I> in <I>H,</I> actaque <I>AI</I> eidem parallela occurrat alteri A$ymp-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9512 toto <I>MX</I> in <I>I</I>: erit Medii den$itas in <I>A</I> reciproce ut <I>AH,</I> & cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9513 poris velocitas ut √(<I>AHq/AI</I>), ac re$i$tentia ibidem ad gravitatem ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9514 <I>AH</I> ad (<I>2nn+2n/n+2</I>) in <I>AI.</I> Unde prodeunt $equentes Regulæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9515 <pb n=241>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9516 <p><I>Reg.</I> 1. Si $ervetur tum Medii den$itas in <I>A,</I> tum velocitas qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9517 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9518 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9519 cum corpus projicitur, & mutetur angulus <I>NAH</I>; manebunt lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9520 gitudines <I>AH, AI, HX.</I> Ideoque $i longitudines illæ in aliquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9521 ca$u inveniantur, Hyperbola deinceps ex dato quovis angulo <I>NAH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9522 expedite determinari pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9523 <p><I>Reg.</I> 2. Si $ervetur tum angulus <I>NAH,</I> tum Medii den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9524 in <I>A,</I> & mutetur velocitas quacum corpus projicitur; $ervabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9525 longitudo <I>AH,</I> & mutabitur <I>AI</I> in duplicata ratione velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9526 reciproce.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9527 <p><I>Reg.</I> 3. Si tam angulus <I>NAH</I> quam corporis velocitas in <I>A,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9528 gravita$que acceleratrix $ervetur, & proportio re$i$tentiæ in <I>A</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9529 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9530 gravitatem motricem augeatur in ratione quacunque: augebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9531 proportio <I>AH</I> ad <I>AI</I> in eadem ratione, manente Parabolæ late-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9532 re recto, eique proportionali longitudine (<I>AHq/AI</I>); & propterea mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9533 nuetur <I>AH</I> in eadem ratione, & <I>AI</I> minuetur in ratione illa du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9534 plicata. Augetur vero proportio re$i$tentiæ ad pondus, ubi vel gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9535 vitas $pecifica $ub æquali magnitudine fit minor, vel Medii den$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9536 tas major, vel re$i$tentia, ex magnitudine diminuta, diminuitur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9537 minore ratione quam pondus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9538 <pb n=242>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9539 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9540 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9541 <p><I>Reg.</I> 4. Quoniam denfitas Medii prope verticem Hyperbolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9542 major e$t quam in loco <I>A,</I> ut habeatur den$ites mediocris, debet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9543 ratio minimæ tangentium <I>GT</I> ad tangentem <I>AH</I> inveniri, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9544 den$itas in <I>A</I> angeri in ratione paudo majore quam $emi$ummæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9545 harum tangentium ad minimam tangentium <I>GT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9546 <p><I>Reg.</I> 5. Si dantur longitudines <I>AH, AI,</I> & de$oribenda $it Figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9547 ra <I>AGK:</I> produc <I>HN</I> ad <I>X,</I> ut $it <I>HX</I> æqualis facto $ub <I>n</I>+1 &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9548 <I>AI</I>; oentroque <I>X</I> & A$ymptotis <I>MX, NX</I> per punctum <I>A</I> de$criba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9549 tur Hyperbola, ea lege, ut $it <I>AI</I> ad quamvis <I>VG</I> ut <I>XV<SUP>n</SUP></I> ad <I>XI<SUP>n</SUP>.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9550 <p><I>Reg.</I> 6. Quo major e$t numerus <I>n,</I> eo magis accuratæ $unt hæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9551 Hyperbolæ in a$cen$u corporis ab <I>A,</I> & minus accuratæ in ejus de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9552 $cen$u ad <I>K</I>; & contra. Hyperbola Conica mediocrem rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9553 tenet, e$t que cæteris $implicior. Igitur $i Hyperbola $it hujus generis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9554 & punctum <I>K,</I> ubi corpus projectum incidet in rectam quamvis <I>AN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9555 per punctum <I>A</I> tran$euntem, quæratur: occurrat producta <I>AN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9556 A$ymptotis <I>MX, NX</I> in <I>M</I> & <I>N,</I> & $umatur <I>NK</I> ip$i <I>AM</I> æqualis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9557 <p><I>Reg.</I> 7. Et hinc liquet methodus expedita determinandi hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9558 Hyperbolam ex Phænomenis. Projiciantur corpora duo $imilia &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9559 æqualia, eadem velocitate, in angulis diver$is <I>HAK, hAk,</I> inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9560 dantque in planum Horizontis in <I>K</I> & <I>k</I>; & notetur proportio <I>AK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9561 ad <I>Ak.</I> Sit ea <I>d</I> ad <I>e.</I> Tum erecto cuju$vis longitudinis perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9562 diculo <I>AI,</I> a$$ume utcunque longitudinem <I>AH</I> vel <I>Ah,</I> & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9563 collige graphice longitudines <I>AK, Ak,</I> per Reg. 6. Si ratio <I>AK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9564 ad <I>Ak</I> $it eadem cum ratione <I>d</I> ad <I>e,</I> longitudo <I>AH</I> recte a$$ump-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9565 ta fuit. Sin minus cape in recta infinita <I>SM</I> longitudinem <I>SM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9566 æqualem a$$umptæ <I>AH,</I> & erige perpendiculum <I>MN</I> æquale ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9567 tionum differentiæ <I>(AK/Ak)-d/e</I> ductæ in rectam quamvis datam. Si-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9568 mili methodo ex a$$umptis pluribus longitudinibus <I>AH</I> invenien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9569 da $unt plura puncta <I>N,</I> & per omnia a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9570 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9571 genda Curva linea regularis <I>NNXN,</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9572 cans rectam <I>SMMM</I> in <I>X.</I> A$lumatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9573 demum <I>AH</I> æqualie ab$ci$$æ <I>SX</I> & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9574 denuo inveniatur longitudo <I>AK</I>; & lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9575 gitudines, quæ $int ad a$$umptam longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9576 dinem <I>AI</I> & hanc ultimam <I>AH</I> ut longitudo <I>AK</I> per experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9577 mentum cognita ad ultimo inventam longitudinem <I>AK,</I> erunt veræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9578 illæ longitudines <I>AI</I> & <I>AH,</I> quas invenire oportuit. Hi$ce vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9579 datis dabitur & re$i$tentia Medii in loco <I>A,</I> quippo quæ $it ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9580 gravitatis ut <I>AH</I> ad 2<I>AI.</I> Augenda e$t autem den$itas. Medii per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9581 Reg. 4; & re$i$tentia modo inventa, $i in eadem ratione augeatur, fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9582 accuratior.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9583 <pb n=243>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9584 <p><I>Reg.</I> 8. Inventis longitudinibus <I>AH, HX</I>; $i jam de$ideretur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9585 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9586 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9587 po$itio rectæ <I>AH,</I> $ecundum quam Projectile, data illa cum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9588 tate emi$$um, incidit in punctum quodvis <I>K:</I> ad puncta <I>A</I> & <I>K</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9589 erigantur rectæ <I>AC, KF</I> horizonti perpendiculares, quarum <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9590 deor$um tendat, & æquetur ip$i <I>AI</I> $eu 1/2<I>HX.</I> A$ymptotis <I>AK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9591 KF</I> de$cribatur Hyperbola, cujus conjugata tran$eat per punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9592 <I>C,</I> centroque <I>A</I> & intervallo <I>AH</I> de$cribatur Circulus $ecans Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9593 perbolam illam in puncto <I>H;</I> & Projectile $ecundum rectam <I>AH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9594 emi$$um incidet in punctum <I>K. Q.E.I.</I> Nam punctum <I>H,</I> ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9595 datam longitudinem <I>AH,</I> locatur alicubi in Circulo de$cripto. A-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9596 gatur <I>CH</I> occurrens ip$is <I>AK</I> & <I>KF,</I> illi in <I>E,</I> huic in <I>F;</I> & ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9597 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9598 parallelas <I>CH, MX</I> & æquales <I>AC, AI,</I> erit <I>AE</I> æqualis <I>AM,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9599 & propterea etiam æqualis <I>KN.</I> Sed <I>CE</I> e$t ad <I>AE</I> ut <I>FH</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9600 <I>KN,</I> & propterea <I>CE</I> & <I>FH</I> æquantur. Incidit ergo punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9601 <I>H</I> in Hyperbolam A$ymptotis <I>AK, KF</I> de$criptam, cujus conju-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9602 gata tran$it per punctum <I>C,</I> atque adeo reperitur in communi in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9603 ter$ectione Hyperbolæ hujus & Circuli de$cripti. <I>Q.E.D.</I> No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9604 tandum e$t autem quod hæc operatio perinde $e habet, $ive recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9605 <I>AKN</I> horizonti parallela $it, $ive ad horizontem in angulo quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9606 vis inclinata: quodque ex duabus inter$ectionibus <I>H, H</I> duo pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9607 deunt anguli <I>NAH, NAH</I>; & quod in Praxi mechanica $ufficit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9608 <pb n=244>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9609 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9610 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9611 Circulum $emel de$eribere, deinde regulam interminatam <I>CH</I> ita ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9612 plicare ad punctum <I>C,</I> ut ejus pars <I>FH,</I> Circulo & rectæ <I>FK</I> interje-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9613 cta, æqualis $it ejus parti <I>CE</I> inter punctum <I>C</I> & rectam <I>AK</I> $itæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9614 <p>Quæ de Hyperbolis dicta $unt fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9615 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9616 cile applicantur ad Parabolas. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9617 $i <I>XAGK</I> Parabolam de$ignet quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9618 recta <I>XV</I> tangat in vertice <I>X,</I> $intque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9619 ordinatim applicatæ <I>IA, VG</I> ut quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9620 libet ab$ci$$arum <I>XI, XV</I> dignitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9621 <I>XI<SUP>n</SUP>, XV<SUP>n</SUP>;</I> agantur <I>XT, GT, AH,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9622 quarum <I>XT</I> parallela $it <I>VG,</I> & <I>GT,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9623 AH</I> Parabolam tangant in <I>G</I> & <I>A:</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9624 corpus de loco quovis <I>A,</I> $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9625 rectam <I>AH</I> productam, ju$ta cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9626 velocitate projectum, de$cribet hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9627 Parabolam, $i modo den$itas Medii,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9628 in locis $ingulis <I>G,</I> $it reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9629 tangens <I>GT.</I> Velocitas autem in <I>G</I> ea erit quacum Projectile per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9630 geret, in $patio non re$i$tente, in Parabola Conica verticem <I>G,</I> dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9631 metrum <I>VG</I> deor$um productam, & latus rectum (<I>2GTq./nn-nXVG</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9632 habente. Et re$i$tentia in <I>G</I> erit ad vim gravitatis ut <I>GT</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9633 <I>(2nn-2n/n-2) VG.</I> Unde $i <I>NAK</I> lineam horizontalem de$ignet, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9634 manente tum den$itate Medii in <I>A,</I> tum velocitate quacum corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9635 projicitur, mutetur utcunque angulus <I>NAH;</I> manebunt longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9636 dines <I>AH, AI, HX,</I> & inde datur Parabolæ vertex <I>X,</I> & po$itio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9637 rectæ <I>XI,</I> & $umendo <I>VG</I> ad <I>IA</I> ut <I>XV<SUP>n</SUP></I> ad <I>XI<SUP>n</SUP>,</I> dantur om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9638 nia Parabolæ puncta <I>G,</I> per quæ Projectile tran$ibit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9639 <pb n=245>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9640 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9641 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9642 <C>SECTIO III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9643 <C><I>De Motu Corporum quibus re$i$titur partim in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9644 velocitatis, partim in eju$dem ratione duplicata.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9645 <C>PROPOSITIO XI. THEOREMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9646 <p><I>Si Corpori re$i$titur partim in ratione velocitatis, partim in ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9647 locitatis ratione duplicata, & idem $ola vi in$ita in Medio $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9648 milari movetur, $umantur autem tempora in progre$$ione Arith-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9649 metica: quantitates velocitatibus reciproce proportionales, datâ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9650 quadam quantitate auctæ, erunt in progre$$ione Geometriea.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9651 <p>Centro <I>C,</I> A$ymptotis rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9652 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9653 gulis <I>CADd</I> & <I>CH,</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9654 Hyperbola <I>BEeS,</I> & A$ympto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9655 to <I>CH</I> parallelæ $int <I>AB, DE,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9656 de.</I> In A$ymptoto <I>CD</I> dentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9657 puncta <I>A, G:</I> Et $i tempus ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9658 ponatur per aream Hyperbolicam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9659 <I>ABED</I> uniformiter cre$centem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9660 dico quod velocitas exponi pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9661 per longitudinem <I>DF,</I> cujus reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9662 proca <I>GD</I> una cum data <I>CG</I> com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9663 ponat longitudinem <I>CD</I> in progre$$ione Geometrica cre$centem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9664 <p>Sit enim areola <I>DEed</I> datum temporis incrementum quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9665 minimum, & erit <I>Dd</I> reciproce ut <I>DE,</I> adeoque directe ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9666 <I>CD.</I> Ip$ius autem (1/<I>G-D</I>) decrementum, quod (per hujus Lem. 11)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9667 e$t (<I>Dd/GDq</I>), erit ut (<I>CD/GDq</I>) $eu (<I>CG+GD/GDq</I>), id e$t, ut (1/<I>GD</I>)+(<I>CG/GDq</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9668 Igitur tempore <I>ABED</I> peradditionem datarum particularum <I>ED de</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9669 uniformiter cre$cente, decre$cit (1/<I>GD</I>) in eadem ratione cum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9670 tate. Nam decrementum velocitatis e$t ut re$i$tentia, hoc e$t (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9671 Hypothe$in) ut $umma duarum quantitatum, quarum una e$t ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9672 <pb n=246>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9673 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9674 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9675 velocitas, altera ut quadratum velocitatis: & ip$ius (1/<I>GD</I>) decremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9676 tum e$t ut $umma quantitatum (1/<I>GD</I>) & (<I>CG/GDq</I>), quarum prior e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9677 ip$a (1/<I>GD</I>), & po$terior (<I>CG/GDq</I>) e$t ut (1/<I>GDq</I>). Proinde (1/<I>GD</I>), ob an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9678 alogum decrementum, e$t ut velocitas. Et $i quantitas <I>GD,</I> ip$i (1/<I>GD</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9679 reciproce proportionalis, quantitate data <I>CG</I> augeatur; $umma <I>CD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9680 tempore <I>ABED</I> uniformiter cre$cente, cre$cet in progre$$ione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9681 Geometrica. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9682 <p><I>Corol.</I> 1. Igitur. $i, datis punctis <I>A, G,</I> exponatur tempus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9683 aream Hyperbolicam <I>ABED,</I> exponi pote$t velocitas per ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9684 <I>GD</I> reciprocam (1/<I>GD</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9685 <p><I>Corol.</I> 2. Sumendo autem <I>GA</I> ad <I>GD</I> ut velocitatis reciproca $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9686 initio, ad velocitatis reciprocam in fine temporis cuju$vis <I>ABED,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9687 invenietur punctum <I>G.</I> Eo autem invento, velocitas ex dato quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9688 vis alio tempore inveniri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9689 <C>PROPOSITIO XII. THEOREMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9690 <p><I>Ii$dem po$itis, dico quod $i $patia de$cripta $umantur in progre$$io-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9691 ne Arithmetica, velocitates data quadam quantitate auctæ e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9692 runt in progre$$ione Geometrica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9693 <p>In A$ymptoto <I>CD</I> detur pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9694 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9695 ctum <I>R,</I> & erecto perpendiculo <I>RS,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9696 quod occurrat Hyperbolæ in <I>S,</I> ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9697 ponatur de$criptum $patium per a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9698 ream Hyperbolicam <I>RSED</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9699 velocitas erit ut longitudo <I>GD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9700 quæ cum data <I>CG</I> componit longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9701 tudinem <I>CD,</I> in progre$$ione Geo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9702 metrica decre$centem, interea dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9703 $patium <I>RSED</I> augetur in Arith-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9704 metica.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9705 <p>Etenim ob datum $patii incrementum <I>EDde,</I> lineola <I>Dd,</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9706 <pb n=247>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9707 decrementum e$t ip$ius <I>GD,</I> erit reclproce ut <I>ED,</I> adeoque di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9708 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9709 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9710 recte ut <I>CD,</I> hoc e$t, ut $umma eju$dom <I>GD</I> & longit udims datæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9711 <I>CG.</I> Sed velocitatis decrementum, tumpore $ibi reciproce pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9712 portionali, quo data $patii particula <I>D de E</I> de$cribitur, e$t ut re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9713 $i$tentia & tempus conjunctim, id o$t, directe ut $umma duarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9714 quantitatum, quarum una e$t ut velocitas, altera ut velocitatis qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9715 dratum, & inver$e ut velocitas; adeoque directe ut $umma duarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9716 quantitatum, quarum una datur, altora e$t ut velocitas. Igitur de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9717 crementum tam velocitatis quam lineæ <I>GD,</I> e$t ut quantitas data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9718 & quantitas decre$cens conjunctim, & propter analoga decremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9719 ta, analogæ $emper crunt quantitates decre$centes: nimirum veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9720 tas & linca <I>G.D. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9721 <p><I>Corol.</I> 1. Igitur $i velocitas exponatur per longitudinem <I>GD,</I> $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9722 tium de$criptum erit ut area Hyperbolica <I>DESR.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9723 <p><I>Corol.</I> 2. Et $i utcunque a$$umatur punctum <I>R,</I> invenietur pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9724 ctum <I>G,</I> capiendo <I>GR</I> ad <I>GD,</I> ut e$t velocitas $ab initio ad ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9725 locitatem po$t $patium quodvis <I>RSED</I> de$criptum. Invento au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9726 tem puncto <I>G,</I> datur $patium ex data velocitate, & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9727 <p><I>Corol.</I> 3. Unde cum, per Prop. XI. detur velocitas ex dato rem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9728 pore, & per hanc Propofitionem detur $patium ex data velooitate;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9729 dabitur fpatium ex dato tempore: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9730 <C>PROPOSITIO XIII. THE OREMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9731 <p><I>Po$ito quod Corpus ab uniformi gravitate deor$um attractum recta:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9732 a$cendit vel de$cendit, & quod eidem re$i$titur partim in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9733 tione velocitatis, partim in eju$dem ratione daplicata: dico quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9734 $i Circuli & Hyperbolæ diametris parallelæ rectæ per conjuga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9735 tarum diametrorum terminos ducantur, & velocitates $int ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9736 $egmenta quædam parallelarum a dato puncto ducta, Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9737 erunt ut arearum Sectores, rectis a centro ad $egmentorum ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9738 minos ductis ab$ci$$i: & contra.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9739 <p><I>Ca$.</I> 1. Ponamus primo quod corpus a$cendit, centroque <I>D</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9740 $emidiametro quovis <I>DB</I> de$cribatur Circuli quadrans <I>BETF,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9741 per $omidiametri <I>DB</I> terminum <I>B</I> agatur infinita <I>BAP,</I> $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9742 metro <I>DF</I> parallela. In ea detur punctum <I>A,</I> & capiatur $egmen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9743 tum <I>AP</I> velocitati proportionale. Et cum re$i$tentiæ pars aliqua $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9744 <pb n=248>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9745 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9746 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9747 ut velocitas & pars altera ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9748 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9749 velocitatis quadratum, fit re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9750 $i$tentia tota in <I>P</I> ut <I>AP quad</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9751 +2 <I>BAP.</I> Jungantur <I>DA,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9752 DP</I> Circulum $ecantes in <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9753 ac <I>T,</I> & exponatur gravitas per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9754 <I>DA quad,</I> ita ut $it gravitas ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9755 re$i$tentiam in <I>P</I> ut <I>DAq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9756 <I>APq</I>+2<I>BAP:</I> & tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9757 a$cen$us omnis $uturi erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9758 Circuli $ector <I>EDTE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9759 <p>Agatur enim <I>DVQ,</I> ab-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9760 $cindens & velocitatis <I>AP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9761 momentum <I>PQ,</I> & Sectoris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9762 <I>DET</I> momentum <I>DTV</I> da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9763 to temporis momento re$pondens: & velocitatis decrementum il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9764 lud <I>PQ</I> erit ut $umma virium gravitatis <I>DAq</I> & re$i$tentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9765 <I>APq</I>+2<I>BAP,</I> id e$t (per Prop. 12, Lib. 2. Elem.) ut <I>DPquad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9766 Proinde area <I>DPQ,</I> ip$i <I>PQ</I> proportionalis, e$t ut <I>DP quad</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9767 & area <I>DTV,</I> (quæ e$t ad aream <I>DPQ</I> ut <I>DTq</I> ad <I>DPq</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9768 e$t ut datum <I>DTq.</I> Decre$cit igitur area <I>EDT</I> uniformiter ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9769 dum temporis futuri, per $ubductionem datarum particularum <I>DTV,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9770 & propterea tempori a$cen$us $uturi proportionalis e$t. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9771 <p><I>Ca$.</I> 2. Si veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9772 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9773 tas in a$cen$u cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9774 poris exponatur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9775 longitudinem <I>AP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9776 ut prius, & re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9777 tia ponatur e$$e ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9778 <I>APq</I>+2<I>BAP,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9779 $i vis gravitatis mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9780 nor $it quam quæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9781 <I>DAq</I> exponi po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9782 $it; capiatur <I>BD</I> e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9783 jus longitudinis, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9784 $it <I>ABq-BDq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9785 gravitati proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9786 nale, $itque <I>DF</I> ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9787 <I>DB</I> perpendicularis & æqualis, & per verticem <I>F</I> de$cribatur Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9788 perbola <I>FTVE</I> cujus $emidiametri conjugatæ $int <I>DB</I> & <I>DF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9789 quæque $ecet <I>DA</I> in <I>E,</I> & <I>DP, DQ</I> in <I>T</I> & <I>V</I>; & crit tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9790 a$cen$us futuri ut Hyperbolæ $ector <I>TDE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9791 <pb n=249>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9792 <p>Nam velocitatis decrementum <I>PQ,</I> in data temporis particula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9793 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9794 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9795 factum, e$t ut $umma re$i$tentiæ <I>APq</I>+2<I>BAP</I> & gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9796 <I>ABq-BDq,</I> id e$t, ut <I>BPq-BDq.</I> E$t autem area <I>DTV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9797 ad aream <I>DPQ</I> ut <I>DTq</I> ad <I>DPq</I> adeoque, $i ad <I>DF</I> demitta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9798 tur perpendiculum <I>GT,</I> ut <I>GTq</I> $eu <I>GDq-DFq</I> ad <I>BDq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9799 utque <I>GDq</I> ad <I>BPq</I> & divi$im ut <I>DFq</I> ad <I>BPq-BDq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9800 Quare cum area <I>DPQ</I> $it ut <I>PQ,</I> id e$t, ut <I>BPq-BDq</I>; erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9801 area <I>DTV</I> ut datum <I>DFq.</I> Decre$cit igitur area <I>EDT</I> unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9802 miter $ingulis temporis particulis æqualibus, per $ubductionem par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9803 ticularum totidem datarum <I>DTV,</I> & propterea tempori propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9804 tionalis e$t. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9805 <p><I>Ca$.</I> 3. Sit <I>AP</I> velocitas in de$cen$u corporis, & <I>APq+2BAP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9806 re$i$tentia, & <I>BDq-ABq</I> vis gravitatis, exi$tente angulo <I>DBA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9807 recto. Et $i centro <I>D,</I> vertice
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9808 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9809 principali <I>B,</I> de$cribatur Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9810 perbola rectangula <I>BETV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9811 $ecans productas <I>DA, DP</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9812 <I>DQ</I> in <I>E, T</I> & <I>V</I>; erit Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9813 perbolæ hujus $ector <I>DET</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9814 tempus de$cen$us.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9815 <p>Nam velocitatis increm&etilde;tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9816 <I>PQ,</I> eique proportionalis area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9817 <I>DPQ,</I> e$t ut exce$$us gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9818 tis $upra re$i$tentiam, id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9819 <I>BDq-ABq-2BAP-APq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9820 $eu <I>BDq-BPq.</I> Et area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9821 <I>DTV</I> e$t ad aream <I>DPQ</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9822 <I>DTq</I> ad <I>DPq,</I> adeoque ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9823 <I>GTq</I> $eu <I>GDq-BDq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9824 <I>BPq</I> utque <I>GDq</I> ad <I>BDq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9825 & divi$im ut <I>BDq</I> ad <I>BDq-BPq.</I> Quare cum area <I>DPQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9826 $it ut <I>BDq-BPq,</I> erit area <I>DTV</I> ut datum <I>BDq.</I> Cre$cit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9827 igitur area <I>EDT</I> uniformiter $ingulis temporis particulis æquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9828 bus, per additionem totidem datarum particularum <I>DTV,</I> & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9829 terea tempori de$cen$us proportionalis e$t. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9830 <p><I>Corol.</I> Igitur velocitas <I>AP</I> e$t ad velocitatem quam corpus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9831 pore <I>EDT,</I> in $patio non re$i$tente, a$cendendo amittere vel de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9832 $cendendo acquirere po$$et, ut area trianguli <I>DAP</I> ad aream $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9833 ctoris centro <I>D,</I> radio <I>DA,</I> angulo <I>ADT</I> de$cripti; ideoque ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9834 dato tempore datur. Nam velocitas, in Medio non re$i$tente, tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9835 <pb n=250>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9836 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9837 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9838 pori atque adeo $ectori huic proportionalis e$t; in Medio re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9839 te e$t ut triangulum; & in Medio utroque, ubi quam minima e$t, ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9840 cedit ad rationem æqualitatis, pro more $ectoris & trianguli.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9841 <C>PROPOSITIO XIV. THEOREMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9842 <p><I>Ii$dem po$itis, dico quod $patium a$cen$u vel de$cen$u de$criptum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9843 ect ut differentia areæ per quam tempus exponitur, & areæ cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9844 ju$dam alterius quæ augetur vel diminuitur in progre$$ione A-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9845 rithmetica; $i vires ex re$i$tentia & gravitate compo$itæ $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9846 mantur in progre$$ione Geometrica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9847 <p>Capiatur <I>AC</I> (in Fig. tribus ultimis,) gravitati, & <I>AK</I> re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9848 $tentiæ proportionalis. Capiantur autem ad ea$dem partes pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9849 cti <I>A</I> $i corpus de$cendit, aliter ad contrarias. Erigatur <I>Ab</I> quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9850 $it ad <I>DB</I> ut <I>DBq</I> ad 4 <I>BAC:</I> & area <I>AbNK</I> augebitur vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9851 diminuetur in progre$$ione Arithmetica, dum vires <I>CK</I> in pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9852 gre$$ione Geometrica $umuntur. Dico igitur quod di$tantia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9853 poris ab ejus altitudine maxima $it ut exce$$us areæ <I>AbNK</I> $upra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9854 aream <I>DET.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9855 <p>Nam cum <I>AK</I> $it ut re$i$tentia, id e$t, ut <I>APq+2BAP</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9856 a$$umatur data quævis quantitas Z, & ponatur <I>AK</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9857 (<I>APq+2BAP</I>/Z); & (per hujus Lemma 11.) erit ip$ius <I>AK</I> mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9858 mentum <I>KL</I> æquale (2<I>APQ+2BAXPQ</I>/Z) $eu (2<I>BPQ</I>/Z), &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9859 areæ <I>AbNK</I> momentum <I>KLON</I> æquale (2<I>BPQXLO</I>/Z) $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9860 (<I>BPQXBD cub.</I>/2ZX<I>CRXAB</I>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9861 <p><I>Ca$.</I> 1. Jam $i corpus a$cendit, $itque gravitas ut <I>ABq+BDq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9862 exi$tente <I>BET</I> Circulo, (in Fig. Ca$. 1. Prop. XIII.) linea <I>AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9863 quæ gravitati proportionalis e$t, erit (<I>ABq+BDq</I>/Z), & <I>DPq</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9864 <I>APq+2BAP+ABq+BDq</I> erit <I>AK</I>XZ+<I>AC</I>XZ $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9865 <I>CK</I>XZ; ideoque area <I>DTV</I> erit ad aream <I>DPQ</I> ut <I>DTq</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9866 <I>DBq</I> ad <I>CK</I>XZ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9867 <pb n=251>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9868 <p><I>Ca$.</I> 2. Sin corpus a$cendit, & gravitas $it ut <I>ABq-BDq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9869 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9870 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9871 linea <I>AC</I> (Fig. Ca$. 2. Prop. XIII) erit (<I>ABq-BDq</I>/Z), & <I>DTq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9872 erit ad <I>DPq</I> ut <I>DFq</I> $eu <I>DBq</I> ad <I>BPq-BDq</I> $eu <I>APq+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9873 2BAP+ABq-BDq,</I> id e$t, ad <I>AK</I>XZ+<I>AC</I>XZ $eu <I>CK</I>XZ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9874 Ideoque area <I>DTV</I> erit ad aream <I>DPQ</I> ut <I>DBq</I> ad <I>CK</I>XZ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9875 <p><I>Ca$.</I> 3. Et eodem argumento, $i corpus de$cendit, & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9876 gravitas $it ut <I>BDq-ABq,</I> & linea <I>AC</I> (Fig. Ca$.3. Prop. præced.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9877 æquetur (<I>BDq-ABq</I>/Z) erit area <I>DTV</I> ad aream <I>DPQ</I> ut <I>DBq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9878 ad <I>CK</I>XZ: ut $upra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9879 <p>Cum igitur areæ illæ $emper $int in hac ratione; $i pro area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9880 <I>DTV,</I> qua momentum temporis $ibimet ip$i $emper æquale ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9881 ponitur, $cribatur determinatum quodvis rectangulum, puta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9882 <I>BDXm,</I> erit area <I>DPQ,</I> id e$t, 1/2<I>BDXPQ</I>; ad <I>BDXm</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9883 <I>CK</I>XZ ad <I>BDq.</I> Atque inde fit <I>PQXBD cub.</I> æquale
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9884 2<I>BDXmXCK</I>XZ, & areæ <I>AbNK</I> momentum <I>KLON</I> $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9885 perius inventum, fit (<I>BPXBDXm/AB</I>). Auferatur areæ <I>DET</I> mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9886 mentum <I>DTV</I> $eu <I>BDXm,</I> & re$tabit (<I>APXBDXm/AB</I>). E$t igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9887 tur differentia momentorum, id e$t, momentum differentiæ area-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9888 rum, æqualis (<I>APXBDXm/AB</I>); & propterea (ob datum (<I>BDXm/AB</I>))
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9889 ut velocitas <I>AP,</I> id e$t, ut momentum $patii quod corpus a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9890 dendo vel de$cendendo de$cribit. Ideoque differentia arearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9891 & $patium illud, proportionalibus momentis cre$centia vel decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9892 $centia & $imul incipientia vel $imul evane$centia, $unt proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9893 nalia. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9894 <p><I>Corol.</I> Igitur $i longitudo aliqua V $umatur in ea ratione ad du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9895 plum longitudinis M, quæ oritur applicando aream <I>DET</I> ad <I>BD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9896 quam habet linea <I>DA</I> ad lineam <I>DE</I>; $patium quod corpus a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9897 $u vel de$cen$u toto in Medio re$i$tente de$cribit, erit ad $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9898 quod in Medio non re$i$tente eodem tempore de$cribere po$$et,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9899 ut arearum illarum differentia ad (<I>BD</I>XV<SUP>2</SUP>/4<I>AB</I>), ideoque ex dato tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9900 pore datur. Nam $patium in Medio non re$i$tente e$t in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9901 cata ratione temporis, $ive ut V<SUP>2</SUP>, & ob datas <I>BD</I> & <I>AB,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9902 <pb n=252>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9903 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9904 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9905 (<I>BD</I>XV<SUP>2</SUP>/4<I>AB</I>). Momentum hujus areæ $ive huic æqualis (<I>DAqXBD</I>XM<SUP>2</SUP>/<I>DEqXAB</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9906 e$t ad momentum differentiæ arearum <I>DET</I> & <I>AbNK,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9907 (<I>DAqXBD</I>X2MX<I>m</I>/<I>DEqXAB</I>) ad (<I>APXBDXm/AB</I>), hoc e$t, ut (<I>DAqXBD</I>XM/<I>DEq</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9908 ad 1/2<I>BDXAP,</I> $ive ut (<I>DAq/DEq</I>) in <I>DET</I> ad <I>DAP</I>; adeoque ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9909 areæ <I>DET</I> & <I>DAP</I> quam minimæ $unt, in ratione æqualitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9910 Æqualis igitur e$t area quam minima (<I>BD</I>XV<SUP>2</SUP>/4<I>AB</I>) differentiæ quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9911 minimæ arearum <I>DET</I> & <I>AbNK.</I> Unde cum $patia in Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9912 dio utroque, in principio de$cen$us vel fine a$cen$us $imul de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9913 ta accedunt ad æqualitatem, adeoque tunc $unt ad invicem ut area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9914 (<I>BD</I>XV<SUP>2</SUP>/4<I>AB</I>) & arearum <I>DET</I> & <I>AbNK</I> differentia; ob eorum ana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9915 loga incrementa nece$$e e$t ut in æqualibus quibu$cunque tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9916 ribus $int ad invicem ut area illa (<I>BD</I>XV<SUP>2</SUP>/4<I>AB</I>) & arearum <I>DET</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9917 <I>AbNK</I> differentia. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9918 <pb n=253>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9919 <C>SECTIO IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9920 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9921 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9922 <C><I>De Corporum Circulari Motu in Mediis re$i$tentibus.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9923 <C>LEMMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9924 <p><I>Sit</I> PQRr <I>Spiralis quæ $ecet radios omnes</I> SP, SQ, SR, <I>&c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9925 in æqualibus angulis. Agatur recta</I> PT <I>quæ tangat eandem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9926 puncto quovis</I> P, <I>$ecetque radium</I> SQ <I>in</I> T; <I>& ad Spiralem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9927 erectis perpendiculis</I> PO, QO <I>concurrentibus in</I> O, <I>jungatur</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9928 SO. <I>Dico quod $i puncta</I> P <I>&</I> Q <I>accedant ad invicem & co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9929 eant, angulus</I> PSO <I>evadet rectus, & ultima ratio rectanguli</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9930 TQX2PS <I>ad</I> PQ<I>quad. erit ratio æqualitatis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9931 <p>Etenim de angulis rectis <I>OPQ, OQR</I> fubducantur anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9932 æquales <I>SPQ, SQR,</I> & manebunt anguli æquales <I>OPS, OQS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9933 Ergo Circulus qui tran$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9934 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9935 per puncta <I>O, S, P</I> tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9936 ibit etiam per punctum <I>Q.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9937 Coeant puncta <I>P</I> & <I>Q,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9938 & hic Circulus in loco co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9939 itus <I>PQ</I> tanget Spiralem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9940 adeoque perpendiculariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9941 $ecabit rectam <I>OP.</I> Fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9942 igitur <I>OP</I> diameter Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9943 culi hujus, & angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9944 <I>OSP</I> in $emicirculo re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9945 ctus. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9946 <p>Ad <I>OP</I> demittantur perpendicula <I>QD, SE,</I> & linearum ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9947 nes ultimæ erunt huju$modi: <I>TQ</I> ad <I>PD</I> ut <I>TS</I> vel <I>PS</I> ad <I>PE,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9948 $eu 2<I>PO</I> ad 2<I>PS.</I> Item <I>PD</I> ad <I>PQ</I> ut <I>PQ</I> ad 2<I>PO.</I> Et ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9949 æquo perturbate <I>TQ</I> ad <I>PQ</I> ut <I>PQ</I> ad 2<I>PS.</I> Unde fit <I>PQq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9950 æquale <I>TQX2PS. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9951 <pb n=254>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9952 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9953 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9954 <C>PROPOSITIO XV. THEOREMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9955 <p><I>Si Medii den$itas in locis $ingulis $it reciproce ut di$tantia locorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9956 a centro immobili, $itque vis centripeta in duplicata ratione den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9957 $itatis: dico quod corpus gyrari potest in Spirali, quæ radios
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9958 omnes a centro illo ductos inter$ecat in angulo dato.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9959 <p>Ponantur quæ in $uperiore Lemmate, & producatur <I>SQ</I> ad <I>V,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9960 ut $it <I>SV</I> æqualis <I>SP.</I> Tempore quovis, in Medio re$i$tente, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9961 $cribat corpus arcum quam minimum <I>PQ,</I> & tempore duplo ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9962 cum quam minimum <I>PR</I>; & decrementa horum arcuum ex re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9963 $tentia oriunda, $ive defe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9964 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9965 ctus ab arcubus qui in Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9966 dio non re$i$tente ii$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9967 temporibus de$criberen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9968 tur, erunt ad invicem ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9969 quadrata temporum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9970 quibus generantur: E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9971 itaque decrementum arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9972 <I>PQ</I> pars quarta decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9973 menti arcus <I>PR.</I> Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9974 etiam, $i areæ <I>PSQ</I> æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9975 qualis capiatur area <I>QSr,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9976 erit decrementum arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9977 <I>PQ</I> æquale dimidio lineolæ <I>Rr</I>; adeoque vis re$i$tentiæ & vis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9978 tripeta $unt ad invicem ut lineolæ 1/2<I>Rr</I> & <I>TQ</I> quas $imul generant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9979 Quoniam vis centripeta, qua corpus urgetur in <I>P,</I> e$t reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9980 <I>SPq,</I> & (per Lem. X. Lib. 1,) lineola <I>TQ,</I> quæ vi illa generatur, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9981 in ratione compo$ita ex ratione hujus vis & ratione duplicata tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9982 poris quo arcus <I>PQ</I> de$cribitur, (Nam re$i$tentiam in hoc ca$u,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9983 ut infinite minorem quam vis centripeta, negligo) erit <I>TQXSPq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9984 id e$t (per Lemma novi$$imum) 1/2<I>PQqXSP,</I> in ratione duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9985 temporis, adeoque tempus e$t ut <I>PQX√SP</I>; & corporis veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9986 tas, qua arcus <I>PQ</I> illo tempore de$cribitur, ut (<I>PQ/PQX√SP</I>) $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9987 (1/√<I>SP</I>), hoc e$t, in $ubduplicata ratione ip$ius <I>SP</I> reciproce. Et $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9988 mili argumento, velocitas qua arcus <I>QR</I> de$cribitur, e$t in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9989 <pb n=255>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9990 duplicata ratione ip$ius <I>SQ</I> reciproce. Sunt autem arcus illi <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9991 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9992 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9993 & <I>QR</I> ut velocitates de$criptrices ad invicem, id e$t, in $ubdupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9994 cata ratione <I>SQ</I> ad <I>SP,</I> $ive ut <I>SQ</I> ad √<I>SPXSQ</I>; & ob æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9995 les angulos <I>SPQ, SQr</I> & æquales areas <I>PSQ, QSr,</I> e$t ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9996 cus <I>PQ</I> ad arcum <I>Qr</I> ut <I>SQ</I> ad <I>SP.</I> Sumantur proportionalium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9997 con$equentium differentiæ, & fiet arcus <I>PQ</I> ad arcum <I>Rr</I> ut <I>SQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9998 ad <I>SP-√SPXSQ,</I> $eu 1/2<I>VQ</I>; nam punctis <I>P</I> & <I>Q</I> coeunti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	9999 bus, ratio ultima <I>SP-√SPXSQ</I> ad 1/2<I>VQ</I> $it æqualitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10000 Quoniam decrementum arcus <I>PQ,</I> ex re$i$tentia oriundum, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10001 hujus duplum <I>Rr,</I> e$t ut re$i$tentia & quadratum temporis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10002 junctim; erit re$i$tentia ut (<I>Rr/PQqXSP</I>). Erat autem <I>PQ</I> ad <I>Rr,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10003 ut <I>SQ</I> ad 1/2<I>VQ,</I> & inde (<I>Rr/PQqXSP</I>) fit ut (1/2<I>VQ/PQXSPXSQ</I>) $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10004 ut (1/2<I>OS/OPXSPq</I>). Namque punctis <I>P</I> & <I>Q</I> coeuntibus, <I>SP</I> & <I>SQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10005 coincidunt, & angulus <I>PVQ</I> fit rectus; & ob $imilia triangula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10006 <I>PVQ, PSO,</I> fit <I>PQ</I> ad 1/2<I>VQ</I> ut <I>OP</I> ad 1/2<I>OS.</I> E$t igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10007 (<I>OS/OPXSPq</I>) ut re$i$tentia, id e$t, in ratione den$itatis Medii in <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10008 & ratione duplicata velocitatis conjunctim. Auferatur duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10009 ratio velocitatis, nempe ratio (1/<I>SP</I>), & manebit Medii den$itas in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10010 <I>P</I> ut (<I>OS/OPXSP</I>). Detur Spiralis, & ob datam rationem <I>OS</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10011 <I>OP,</I> den$itas Medii in <I>P</I> erit ut (1/<I>SP</I>). In Medio igitur cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10012 den$itas e$t reciproce ut di$tantia a centro <I>SP,</I> corpus gyrari po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10013 te$t in hac Spirali. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10014 <p><I>Corol.</I> 1. Velocitas in loco quovis <I>P</I> ea $emper e$t quacum cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10015 pus in Medio non re$i$tente gyrari pote$t in Circulo, ad eandem a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10016 centro di$tantiam <I>SP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10017 <p><I>Corol.</I> 2. Medii den$itas, $i datur di$tantia <I>SP,</I> e$t ut (<I>OS/OP</I>), $in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10018 di$tantia illa non datur, ut (<I>OS/OPXSP</I>). Et inde Spiralis ad quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10019 libet Medii den$itatem aptari pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10020 <p><I>Corol.</I> 3. Vis re$i$tentiæ in loco quovis <I>P,</I> e$t ad vim centripe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10021 <pb n=256>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10022 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10023 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10024 tam in eodem loco ut 1/2<I>OS</I> ad <I>OP.</I> Nam vires illæ $unt ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10025 vicem ut 1/4<I>Rr</I> & <I>TQ</I> $ive ut (1/4<I>VQXPQ/SQ</I>) & (1/2<I>PQq/SP</I>), hoc e$t, ut 1/2<I>VQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10026 & <I>PQ,</I> $eu 1/2<I>OS</I> & <I>OP.</I> Data igitur Spirali datur proportio re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10027 $i$tentiæ ad vim centripetam, & vicever$a ex data illa proportione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10028 datur Spiralis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10029 <p><I>Corol.</I> 4. Corpus itaque gyrari nequit in hac Spirali, ni$i ubi vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10030 re$i$tentiæ minor e$t quam dimidium vis centripetæ. Fiat re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10031 tia æqualis dimidio vis centripetæ & Spiralis conveniet cum linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10032 recta <I>PS,</I> inque hac recta corpus de$cendet ad centrum, ea cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10033 velocitate quæ $it ad velocitatem qua probavimus in $uperioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10034 in ca$u Parabolæ (Theor. X, Lib. I,) de$cen$um in Medio non re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10035 $tente fieri, in $ubduplicata ratione unitatis ad numerum binarium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10036 Et tempora de$cen$us hic erunt reciproce ut velocitates, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10037 adeo dantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10038 <p><I>Corol.</I> 5. Et quoniam in æqualibus a centro di$tantiis velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10039 eadem e$t in Spirali <I>PQR</I> atque in recta <I>SP,</I> & longitudo Spi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10040 ralis ad longitudinem rectæ <I>PS</I> e$t in data ratione, nempe in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10041 ratione <I>OP</I> ad <I>OS</I>; tempus de$cen$us in Spirali erit ad tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10042 pus de$cen$us in recta <I>SP</I> in eadem illa data ratione, proinde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10043 que datur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10044 <p><I>Corol.</I> 6. Si centro <I>S</I> intervallis duobus quibu$cunque datis de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10045 bantur duo Circuli; & manentibus hi$ce Circulis, mutetur utcun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10046 que angulus quem Spiralis continet cum radio <I>PS:</I> numerus revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10047 lutionum quas corpus intra Circulorum circumferentias, pergendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10048 in Spirali a circumferentia ad circumferentiam, complere pote$t, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10049 ut (<I>PS/OS</I>), $ive ut Tangens anguli illius quem Spiralis continet cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10050 radio <I>PS</I>; tempus vero revolutionum earundem ut (<I>OP/OS</I>), id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10051 Secans anguli eju$dem, vel etiam reciproce ut Medii den$itas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10052 <p><I>Corol.</I> 7. Si corpus, in Medio cujus den$itas e$t reciproce ut di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10053 $tantia locorum a centro, revolutionem in Curva quacunque <I>AEB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10054 circa centrum illud fecerit, & Radium primum <I>AS</I> in eodem an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10055 gulo $ecuerit in <I>B</I> quo prius in <I>A,</I> idque cum velocitate quæ fue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10056 rit ad velocitatem $uam primam in <I>A</I> reciproce in $ubduplica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10057 ta ratione di$tantiarum a centro (id e$t, ut <I>AS</I> ad mediam pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10058 portionalem inter <I>AS</I> & <I>BS</I>) corpus illud perget innume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10059 ras con$imiles revolutiones <I>BFC, CGD</I> &c. facere, & inter$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10060 <pb n=257>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10061 ctionibus di$tinguet Radium <I>AS</I> in partes <I>AS, BS, CS, DS,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10062 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10063 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10064 continue proportionales. Revolutionum vero tempora erunt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10065 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10066 perimetri Orbitarum <I>AEB, BFC, CGD,</I> &c. directe, & veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10067 tates in principiis <I>A, B, C,</I> inver$e; id e$t, ut <I>AS</I><SUP>1/2</SUP>, <I>BS</I><SUP>1/2</SUP>, <I>CS</I><SUP>1/2</SUP>. At-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10068 que tempus totum, quo corpus perveniet ad centrum, erit ad tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10069 pus revolutionis primæ, ut $umma omnium continue proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10070 lium <I>AS</I><SUP>1/2</SUP>, <I>BS</I><SUP>1/2</SUP>, <I>CS</I><SUP>1/2</SUP> pergentium in infinitum, ad terminum pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10071 mum <I>AS</I><SUP>1/2</SUP>; id e$t, ut terminus ille primus <I>AS</I><SUP>1/2</SUP> ad differentiam du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10072 orum primorum <I>AS</I><SUP>1/2</SUP>-<I>BS</I><SUP>1/2</SUP>, $ive ut 2/3<I>AS</I> ad <I>AB</I> quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10073 Unde tempus illud totum expedite invenitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10074 <p><I>Corol.</I> 8. Ex his etiam præter propter colligere licet motus cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10075 porum in Mediis, quorum den$itas aut uniformis e$t, aut aliam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10076 quamcunque legem a$$ignatam ob$ervat. Centro <I>S,</I> intervallis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10077 tinue proportionalibus <I>SA, SB, SC,</I> &c. de$cribe Circulos quot-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10078 cunque, & $tatue tempus revolutionum inter perimetros duorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10079 quorumvis ex his Circulis, in Medio de quo egimus, e$$e ad tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10080 revolutionum inter eo$dem in Medio propo$ito, ut Medii propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10081 $iti den$itas mediocris inter hos Circulos ad Medii, de quo egimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10082 den$itatem mediocrem inter eo$dem quam proxime: Sed & in ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10083 dem quoque ratione e$$e Secantem anguli quo Spiralis præfinita,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10084 in Medio de quo egimus, $ecat radium <I>AS,</I> ad Secantem anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10085 <pb n=258>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10086 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10087 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10088 quo Spiralis nova $ecat radium eundem in Medio propo$ito: At-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10089 que etiam ut $unt eorundem angulorum Tangentes ita e$$e numeros
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10090 revolutionum omnium inter Circulos eo$dem duos quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10091 Si hæc fiant pa$$im inter Circulos binos, continuabitur motus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10092 Circulos omnes. Atque hoc pacto haud difficulter imaginari po$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10093 mus quibus modis ac temporibus corpora in Medio quocunque re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10094 gulari gyrari debebunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10095 <p><I>Corol.</I> 9. Et quamvis motus excentrici in Spiralibus ad formam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10096 Ovalium accedentibus peragantur; tamen concipiendo Spiralium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10097 illarum $ingulas revolutiones ii$dem ab invicem intervallis di$tare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10098 ii$demque gradibus ad centrum accedere cum Spirali $uperius de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10099 $cripta, intelligemus etiam quomodo motus corporum in huju$mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10100 di Spiralibus peragantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10101 <C>PROPOSITIO XVI. THEOREMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10102 <p><I>Si Medii den$itas in locis $ingulis $it reciproce ut di$tantia loco-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10103 rum a centro immobili, $itque vis centripeta reciproce ut dig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10104 nitas quælihet eju$dem di$tantiæ: dico quod corpus gyrari potest
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10105 in Spirali quæ radios omnes a centro illo ductos inter$ecat in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10106 angulo dato.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10107 <p>Demon$tratur eadem methodo cum Propo$itione $uperiore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10108 Nam $i vis centripeta in <I>P</I> $it reciproce ut di$tantiæ <I>SP</I> dignitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10109 quælibet <I>SP<SUP>n</I>+1</SUP> cujus index e$t <I>n</I>+1; colligetur ut $upra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10110 quod tempus quo corpus de$cribit arcum quemvis <I>PQ</I> erit ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10111 <I>PQXSP</I><SUP>1/2<I>n</I></SUP>, & re$i$tentia in <I>P</I> ut (<I>Rr/PQqXSP<SUP>n</SUP></I>), $ive ut (&horbar;1-1/2<I>nXVQ/PQXSP<SUP>n</SUP>XSQ</I>),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10112 adeoque ut (&horbar;1-1/2<I>nXOS/OPXSP<SUP>n+1</SUP></I>), hoc e$t, ob datum (&horbar;1-1/2<I>nXOS/OP</I>), recipro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10113 ce ut <I>SP<SUP>n+1</SUP>.</I> Et propterea, cum velocitas $it reciproce ut <I>SP</I><SUP>1/2<I>n</I></SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10114 den$itas in <I>P</I> erit reciproce ut <I>SP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10115 <p><I>Corol.</I> 1. Re$i$tentia e$t ad vim centripetam, ut &horbar;1-1/2<I>nXOS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10116 ad <I>OP.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10117 <p><I>Corol.</I> 2. Si vis centripeta $it reciproce ut <I>SPcub,</I> erit 1-1/2<I>n=o</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10118 adeoque re$i$tentia & den$itas Medii nulla erit, ut in Propo$itione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10119 nona Libri primi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10120 <p><I>Corol.</I> 3. Si vis centripeta $it reciproce ut dignitas aliqua radii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10121 <I>SP</I> cujus index e$t major numero 3, re$i$tentia affirmativa in nega-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10122 tivam mutabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10123 <pb n=259>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10124 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10125 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10126 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10127 <p>Cæterum hæc Propo$itio & $uperiores, quæ ad Media inæquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10128 ter den$a $pectant, intelligendæ $unt de motu corporum adeo par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10129 vorum, ut Medii ex uno corporis latere major den$itas quam ex al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10130 tero non con$ideranda veniat. Re$i$tentiam quoque cæteris paribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10131 den$itati proportionalem e$$e $uppono. Unde in Mediis quorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10132 vis re$i$tendi non e$t ut den$itas, debet den$itas eo u$que augeri vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10133 diminui, ut re$i$tentiæ vel tollatur exce$$us vel defectus $uppleatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10134 <C>PROPOSITIO XVII. PROBLEMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10135 <p><I>Invenire & vim centripetam & Medii re$i$tentiam qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10136 in data Spirali, data velocitatis Lege, revolvi potest.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10137 <p>Sit Spiralis illa <I>PQR.</I> Ex velocitate qua corpus percurrit ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10138 cum quam minimum <I>PQ</I> dabitur tempus, & ex altitudine <I>TQ,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10139 quæ e$t ut vis centripeta & quadratum temporis, dabitur vis. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10140 inde ex arearum, æqualibus temporum particulis confectarum <I>PSQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10141 & <I>QSR,</I> differentia <I>RSr,</I> dabitur corporis retardatio, & ex re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10142 tardatione invenietur re$i$tentia ac den$itas Medii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10143 <C>PROPOSITIO XVIII. PROBLEMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10144 <C><I>Data Lege vis centripetæ, invenire Medii den$itatem in locis $in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10145 gulis, qua corpus datam Spiralem de$cribet.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10146 <p>Ex vi centripeta invenienda e$t velocitas in locis $ingulis, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10147 inde ex velocitatis retardatione quærenda Medii den$itas: ut in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10148 Propo$itione $uperiore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10149 <p>Methodum vero tractandi hæc Problemata aperui in hujus Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10150 po$itione decima, & Lemmate $ecundo; & Lectorem in huju$modi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10151 perplexis di$qui$itionibus diutius detinere nolo. Addenda jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10152 $unt aliqua de viribus corporum ad progrediendum, deque den$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10153 tate & re$i$tentia Mediorum, in quibus motus hactenus expo$iti &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10154 his affines peraguntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10155 <pb n=260>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10156 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10157 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10158 <C>SECTIO V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10159 <C><I>De Den$itate & Compre$$ione Fluidorum, deque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10160 Hydro$tatica.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10161 <C>Definitio Fluidi.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10162 <p><I>Fluidum e$t corpus omne cujus partes cedunt vi cuicunque illatæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10163 & cedendo facile moventur inter $e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10164 <C>PROPOSITIO XIX. THEOREMA XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10165 <p><I>Fluidi homogenei & immoti quod in va$e quocunque immoto clau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10166 ditur & undique comprimitur, partes omnes ($epo$ita conden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10167 $ationis, gravitatis & virium omnium centripetarum con$ide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10168 ratione) æqualiter premuntur undique, & ab$que omni motu a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10169 pre$$ione illa orto permanent in locis $uis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10170 <p><I>Ca$.</I> 1. In va$e $phærico <I>ABC</I> claudatur & uniformiter com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10171 primatur fluidum undique: dico quod eju$dem pars nulla ex illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10172 pre$$ione movebitur. Nam $i pars aliqua <I>D</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10173 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10174 moveatur, nece$$e e$t ut omnes huju$modi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10175 partes, ad eandem a centro di$tantiam un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10176 dique con$i$tentes, $imili motu $imul move-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10177 antur; atque hoc adeo quia $imilis & æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10178 qualis e$t omnium pre$$io, & motus omnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10179 exclu$us $upponitur, ni$i qui a pre$$ione il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10180 la oriatur. Atqui non po$$unt omnes ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10181 centrum propius accedere, ni$i fluidum ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10182 centrum conden$etur; contra Hypothe$in.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10183 Non po$$unt longius ab eo recedere, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10184 fluidum ad circumferentiam conden$etur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10185 etiam contra Hypothe$in. Non po$$unt $ervata $ua a centro di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10186 $tantia moveri in plagam quamcunque, quia pari ratione movebun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10187 tur in plagam contrariam; in plagas autem contrarias non pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10188 <pb n=261>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10189 pars eadem, eodem tempore, moveri. Ergo fluidi pars nulla de lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10190 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10191 SECUNDUS</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10192 co $uo movebitur. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10193 <p><I>Ca$.</I> 2. Dico jam quod fluidi hujus partes omnes $phæricæ æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10194 liter premuntur undique: $it enim <I>EF</I> pars $phærica fluidi, & $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10195 hæc undique non premitur æqualiter, augeatur pre$$io minor, u$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10196 que dum ip$a undique prematur æqualiter; & partes ejus, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10197 Ca$um primum, permanebunt in locis $uis. Sed ante auctam pre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10198 $ionem permanebunt in locis $uis, per Ca$um eundum primum, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10199 additione pre$$ionis novæ movebuntur de locis $uis, per definitio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10200 nem Fluidi. Quæ duo repugnant. Ergo fal$o dicebatur quod Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10201 ra <I>EF</I> non undique premebatur æqualiter. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10202 <p><I>Ca$.</I> 3. Dico præterea quod diver$arum partium $phæricarum æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10203 qualis $it pre$$io. Nam partes $phæricæ contiguæ $e mutuo pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10204 munt æqualiter in puncto contactus, per motus Legem III. Sed &,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10205 per Ca$um $ecundum, undique premuntur eadem vi. Partes igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10206 duæ quævis $phæricæ non contiguæ, quia pars $phærica intermedia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10207 tangere pote$t utramque, prementur eadem vi. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10208 <p><I>Ca$.</I> 4. Dico jam quod fluidi partes omnes ubique premuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10209 æqualiter. Nam partes duæ quævis tangi po$$unt a partibus Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10210 ricis in punctis quibu$cunque, & ibi partes illas Sphæricas æquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10211 ter premunt, per Ca$um 3. & vici$$im ab illis æqualiter premuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10212 per Motus Legem tertiam. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10213 <p><I>Ca$.</I> 5. Cum igitur fluidi pars quælibet <I>GHI</I> in fluido reliquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10214 tanquam in va$e claudatur, & undique prematur æqualiter, partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10215 autem ejus $e mutuo æqualiter premant & quie$cant inter $e; ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10216 nife$tum e$t quod Fluidi cuju$cunque <I>GHI,</I> quod undique premi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10217 tur æqualiter, partes omnes $e mutuo premunt æqualiter, & qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10218 e$cunt inter $e. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10219 <p><I>Ca$.</I> 6. Igitur $i Fluidum illud in va$e non rigido claudatur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10220 undique non prematur æqualiter, cedet idem pre$$ioni fortiori, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10221 Definitionem Fluiditatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10222 <p><I>Ca$.</I> 7. Idcoque in va$e rigido Fluidum non $u$tinebit pre$$io-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10223 nem fortiorem ex uno latere quam ex alio, $ed eidem cedet, idque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10224 in momento temporis, quia latus va$is rigidum non per$equitur li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10225 quorem cedentem. Cedendo autem urgebit latus oppo$itum, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10226 $ic pre$$io undique ad æqualitatem verget. Et quoniam Fluidum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10227 quam primum a parte magis pre$$a recedere conatur, inhibetur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10228 re$i$tentiam va$is ad latus oppo$itum; reducetur pre$$io undique
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10229 ad æqualitatem, in momento temporis, ab$que motu locali: & $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10230 inde partes fluidi, per Ca$um quintum, $e mutuo prement æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10231 liter, & quie$cent inter $e. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10232 <pb n=262>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10233 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10234 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10235 <p><I>Corol.</I> Unde nec motus partium fluidi inter $e, per pre$$ionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10236 fluido ubivis in externa $uperficie illatam, mutari po$$unt, ni$i qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10237 tenus aut figura $uperficiei alicubi mutatur, aut omnes fluidi partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10238 inten$ius vel remi$$ius $e$e premendo difficilius vel facilius labun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10239 tur inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10240 <C>PROPOSITIO XX. THEOREMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10241 <p><I>Si Fluidi Sphærici, & in æqualibus a centro di$tantiis homogenei,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10242 fundo Sphærico concentrico incumbentis partes $ingulæ ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10243 centrum totius gravitent; $u$tinet fundum pondus Cylindri, cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10244 jus ba$is æqualis est $uperficiei fundi, & altitudo eadem quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10245 Fluidi incumbentis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10246 <p>Sit <I>DHM</I> $uperficies $undi, & <I>AEI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10247 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10248 $uperficies $uperior fluidi. Superficiebus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10249 $ohæricis innumeris <I>BFK, CGL</I> di$tin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10250 guatur fluidum in Orbes concentricos æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10251 qualiter cra$$os; & concipe vim gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10252 tis agere $olummodo in $uperficiem $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10253 riorem Orbis cuju$que, & æquales e$$e a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10254 ctiones in æquales partes $uperficierum om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10255 nium. Premitur ergo $uperficies $uprema
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10256 <I>AE</I> vi $implici gravitatis propriæ, qua &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10257 omnes Orbis $upremi partes & $uperficies
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10258 $ecunda <I>BFK</I> (per Prop. XIX.) pro men$ura $ua æqualiter pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10259 muntur. Premitur præterea $uperficies $ecunda <I>BFK</I> vi propriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10260 gravitatis, quæ addita vi priori facit pre$$ionem duplam. Hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10261 pre$$ione, pro men$ura $ua, & in$uper vi propriæ gravitatis, id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10262 pre$$ione tripla, urgetur $uperficies tertia <I>CGL.</I> Et $imiliter pre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10263 $ione quadrupla urgetur $uperficies quarta, quintupla quinta, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10264 $ic deinceps. Pre$$io igitur qua $uperficies unaquæque urgetur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10265 non e$t ut quantitas $olida fluidi incumbentis, $ed ut numerus Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10266 bium ad u$que $ummitatem fluidi; & æquatur gravitati Orbis infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10267 mi multiplicatæ per numerum Orbium: hoc e$t, gravitati $olidi cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10268 jus ultima ratio ad Cylindrum præfinitum, ($i modo Orbium au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10269 geatur numerus & minuatur cra$$itudo in infinitum, $ic ut actio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10270 gravitatis a $uperficie infima ad $upremam continua reddatur) fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10271 ratio æqualitatis. Su$tinet ergo $uperficies infima pondus Cylindri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10272 <pb n=263>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10273 præfiniti. <I>Q. E. D.</I> Et $imili argumentatione patet Propo$itio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10274 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10275 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10276 ubi gravitas decre$cit in ratione quavis a$$ignata di$tantiæ a centro,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10277 ut & ubi Fluidum $ur$um rarius e$t, deor$um den$ius. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10278 <p><I>Corol.</I> 1. Igitur fundum non urgetur a toto fluidi incumbentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10279 pondere, $ed eam $olummodo ponderis partem $u$tinet quæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10280 propo$itione de$cribitur; pondere reliquo a fluidi figura fornicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10281 $u$tentato.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10282 <p><I>Corol.</I> 2. In æqualibus autem a centro di$tantiis eadem $emper e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10283 pre$$ionis quantitas, $ive $uperficies pre$$a $it Horizonti parallela
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10284 vel perpendicularis vel obliqua; $ive fluidum, a $uperficie pre$$a $ur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10285 $um continuatum, $urgat perpendiculariter $ecundum lineam rectam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10286 vel $erpit oblique per tortas cavitates & canales, ea$que regulares
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10287 vel maxime irregulares, amplas vel angu$ti$$imas. Hi$ce circum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10288 $tantiis pre$$ionem nil mutari colligitur, applicando demon$tratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10289 nem Theorematis hujus ad Ca$us $ingulos Fluidorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10290 <p><I>Corol.</I> 3. Eadem Demon$tratione colligitur etiam (per Prop. XIX)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10291 quod fluidi gravis partes n<*>m, ex pre$$ione ponderis incumben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10292 tis, acquirunt motum inter $e, $i modo excludatur motus qui ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10293 conden$atione oriatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10294 <p><I>Corol.</I> 4. Et propterea $i aliud eju$dem gravitatis $pecificæ cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10295 pus, quod $it conden$ationis expers, $ubmergatur in hoc fluido, id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10296 ex pre$$ione ponderis incumbentis nullum acquiret motum: non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10297 de$cendet, non a$cendet, non cogetur figuram $uam mutare. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10298 $phæricum e$t manebit $phæricum, non ob$tante pre$$ione; $i qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10299 dratum e$t manebit quadratum: idque $ive molle $it, $ive fluidi$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10300 mum; $ive fluido libere innatet, $ive fundo incumbat. Habet e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10301 nim fluidi pars quælibet interna rationem corporis $ubmer$i, & par
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10302 e$t ratio omnium eju$dem magnitudinis, figuræ & gravitatis $peci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10303 ficæ $ubmer$orum corporum. Si corpus $ubmer$um $ervato pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10304 dere lique$ceret & indueret formam fluidi; hoc, $i prius a$cende-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10305 ret vel de$cenderet vel ex pre$$ione figuram novam indueret, etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10306 nunc a$cenderet vel de$cenderet vel figuram novam induere coge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10307 retur: id adeo quia gravitas ejus cæteræque motuum cau$æ per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10308 manent. Atqui, per Ca$. 5. Prop. XIX, jam quie$ceret & figuram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10309 retineret. Ergo & prius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10310 <p><I>Corol.</I> 5. Proinde corpus quod $pecifice gravius e$t quam Flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10311 dum $ibi contiguum $ub$idebit, & quod $pecifice levius e$t a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10312 det, motumque & figuræ mutationem con$equetur, quantum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10313 ce$$us ille vel defectus gravitatis efficere po$$it. Namque exce$$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10314 ille vel de$ectus rationem habet impul$us, quo corpus, alias in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10315 <pb n=264>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10316 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10317 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10318 æquilibrio cum fluidi partibus con$titutum, urgetur; & comparari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10319 pote$t cum exce$$u vel defectu ponderis in lance alterutra libræ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10320 <p><I>Corol.</I> 6. Corporum igitur in fluidis con$titutorum duplex e$t Gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10321 vitas: altera vera & ab$oluta, altera apparens, vulgaris & compa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10322 rativa. Gravitas ab$oluta e$t vis tota qua corpus deor$um tendit:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10323 relativa & vulgaris e$t exce$$us gravitatis quo corpus magis tendit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10324 deor$um quam fluidum ambiens. Prioris generis Gravitate partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10325 $luidorum & corporum omnium gravitant in locis $uis: ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10326 conjunctis ponderibus componunt pondus totius. Nam totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10327 omne grave e$t, ut in va$is liquorum plenis experiri licet; & pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10328 dus totius æquale e$t ponderibus omnium partium, ideoque ex ii$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10329 dem componitur. Alterius generis Gravitate corpora non gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10330 tant in locis $uis, id e$t, inter $e collata non prægravant, $ed mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10331 tuos ad de$cendendum conatus impedientia permanent in locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10332 $uis, perinde ac $i gravia non e$$ent. Quæ in Aere $unt & non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10333 prægravant, vulgus gravia non judicat. Quæ prægravant vulgus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10334 gravia judicat, quatenus ab Aeris pondere non $u$tinentur. Pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10335 dera vulgi nihil aliud $unt quam exce$$us verorum ponderum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10336 pra pondus Aeris. Unde & vulgo dicuntur levia, quæ $unt mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10337 nus gravia, Aerique prægravanti cedendo $uperiora petunt. Com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10338 parative levia $unt, non vere, quia de$cendunt in vacuo. Sic &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10339 in Aqua, corpora, quæ ob majorem vel minorem gravitatem de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10340 $cendunt vel a$cendunt, $unt comparative & apparenter gravia vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10341 levia, & eorum gravitas vel levitas comparativa & apparens e$t ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10342 ce$$us vel defectus quo vera eorum gravitas vel $uperat gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10343 tem aque vel ab ea $uperatur. Quæ vero nec prægravando de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10344 $cendunt, nec prægravanti cedendo a$cendunt, etiam$i veris $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10345 ponderibus adaugeant pondus totius, comparative tamen & in $en-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10346 $u vulgi non gravitant in aqua. Nam $imilis e$t horum Ca$uum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10347 Demon$tratio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10348 <p><I>Corol.</I> 7. Quæ de gravitate demon$trantur, obtinent in aliis qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10349 bu$cunque viribus centripetis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10350 <p><I>Corol.</I> 8. Proinde $i Medium, in quo corpus aliquod movetur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10351 urgeatur vel a gravitate propria, vel ab alia quacunque vi centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10352 peta, & corpus ab eadem vi urgeatur fortius: differentia virium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10353 e$t vis illa motrix, quam in præcedentibus Propo$itionibus ut vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10354 centripetam con$ideravimus. Sin corpus a vi illa urgeatur levius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10355 differentia virium pro vi centrifuga haberi debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10356 <p><I>Corol.</I> 9. Cum autem fluida premendo corpora inclu$a non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10357 mutent eorum Figuras externas, patet in$uper, per Corollarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10358 <pb n=265>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10359 Prop. XIX, quod non mutabunt $itum partium internarum inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10360 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10361 SECONDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10362 $e: proindeque, $i Animalia immergantur, & $en$atio omnis a mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10363 tu partium oriatur; nec lædent corpora immer$a, nec $en$atio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10364 nem ullam excitabunt, ni$i quatenus hæc corpora a compre$$ione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10365 conden$ari po$$unt. Et par e$t ratio cuju$cunque corporum Sy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10366 $tematis fluido comprimente circundati. Sy$tematis partes omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10367 ii$dem agitabuntur motibus, ac $i in vacuo con$tituerentur, ac $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10368 lam retinerent gravitatem $uam comparativam, ni$i quatenus flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10369 dum vel motibus earum nonnihil re$i$tat, vel ad ea$dem compre$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10370 one conglutinandas requiratur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10371 <C>PROPOSITIO XXI. THEOREMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10372 <p><I>Sit Fluidi cuju$dam den$itas compre$$ioni proportionalis, & partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10373 ejus a vi centripeta di$tantiis $uis a centro reciproce proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10374 nali deor$um trabantur: dico quod, fi di$tantiæ illæ $umantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10375 continue proportionales, den$itates Fluidi in ii$dem di$tantiis e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10376 runt etiam continue proportionales.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10377 <p>De$ignet <I>ATV</I> fundum Sphæricum cui fluidum incumbit, <I>S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10378 centrum, <I>SA, SB, SC, SD, SE,</I> &c. di$tantias continue propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10379 tionales. Erigantur perpendicula <I>AH, BI, CK, DL, EM, &c.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10380 quæ $int ut den$itates Medii in locis <I>A, B, C, D, E</I>; & $pecificæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10381 gravitates in ii$dem locis erunt ut <I>(AH/AS), (BI/BS), (CK/CS),</I> &c. vel, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10382 perinde e$t, ut <I>(AH/AB), (BI/BC), (CK/CD),</I> &c. Finge pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10383 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10384 mum has gravitates uniformiter continuari ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10385 <I>A</I> ad <I>B,</I> a <I>B</I> ad <I>C,</I> a <I>C</I> ad <I>D,</I> &c. factis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10386 gradus decrementis in punctis <I>B, C, D,</I> &c. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10387 hæ gravitates ductæ in altitudines <I>AB, BC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10388 CD,</I> &c. conficient pre$$iones <I>AH, BI, CK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10389 quibus fundum <I>ATV</I> (juxta Theorema XV.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10390 urgetur. Su$tinet ergo particula <I>A</I> pre$$iones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10391 omnes <I>AH, BI, CK, DL,</I> pergendo in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10392 infinitum; & particula <I>B</I> pre$$iones omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10393 præter primam <I>AH</I>; & particula <I>C</I> omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10394 præter duas primas <I>AH, BI</I>; & $ic deinceps: adeoque parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10395 culæ primæ <I>A</I> den$itas <I>AH</I> e$t ad particulæ $ecundæ <I>B</I> den$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10396 <pb n=266>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10397 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10398 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10399 tatem <I>BI</I> ut $umma omnium <I>AH+BI+CK+DL,</I> in infini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10400 tum, ad $ummam omnium <I>BI+CK+DL,</I> &c. Et <I>BI</I> den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10401 $itas $ecundæ <I>B,</I> e$t ad <I>CK</I> den$itatem tertiæ <I>C,</I> ut $umma om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10402 nium <I>BI+CK+DL,</I> &c. ad $ummam omnium <I>CK+DL,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10403 Sunt igitur $ummæ illæ differentiis $uis <I>AH, BI, CK,</I> &c. pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10404 portionales, atque adeo continue proportionales, per hujus Lem. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10405 proindeque differentiæ <I>AH, BI, CK,</I> &c. $ummis proportionales,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10406 $unt etiam continue proportionales. Quare cum den$itates in locis <I>A,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10407 B, C,</I> &c. $int ut <I>AH, BI, CK,</I> &c. erunt etiam hæ continue propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10408 tionales. Pergatur per $altum, & (ex æquo) in di$tantiis <I>SA, SC,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10409 SE</I> continue proportionalibus, erunt den$itates <I>AH, CK, EM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10410 continue proportionales. Et eodem argumento, in di$tantiis qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10411 bu$vis continue proportionalibus <I>SA, SD, SG,</I> den$itates <I>AH, DL,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10412 GO</I> erunt continue proportionales. Coeant jam puncta <I>A, B, C,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10413 D, E,</I> &c. eo ut progre$$io gravitatum $pecificarum a fundo <I>A</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10414 $ummitatem Fluidi continua reddatur, & in di$tantiis quibu$vis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10415 tinue proportionalibus <I>SA, SD, SG,</I> den$itates <I>AH, DL, GO,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10416 $emper exi$tentes continue proportionales, manebunt etiamnum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10417 continue proportionales. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10418 <p><I>Corol.</I> Hinc $i detur den$itas Fluidi in duobus locis, puta <I>A</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10419 <I>E,</I> colligi pote$t ejus den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10420 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10421 in alio quovis loco <I>Q.</I> Centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10422 <I>S,</I> A$ymptotis rectangulis <I>SQ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10423 SX,</I> de$cribatur Hyperbola $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10424 cans perpendicula <I>AH, EM,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10425 QT</I> in <I>a, e, q,</I> ut & perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10426 la <I>HX, MY, TZ,</I> ad A$ymp-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10427 toton <I>SX</I> demi$$a, in <I>h, m</I> & <I>t.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10428 Fiat area <I>ZYmtZ</I> ad aream da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10429 tam <I>YmhX</I> ut area data <I>EeqQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10430 ad aream datam <I>EeaA</I>; & li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10431 nea <I>Zt</I> producta ab$cindet li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10432 neam <I>QT</I> den$itati proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10433 nalem. Namque $i lineæ <I>SA, SE, SQ</I> $unt continue proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10434 les, erunt areæ <I>EeqQ, EeaA</I> æquales, & inde areæ his propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10435 tionales <I>YmtZ, XhmY</I> etiam æquales, & lineæ <I>SX, SY, SZ,</I> id e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10436 <I>AH, EM, QT</I> continue proportionales, ut oportet. Et $i lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10437 <I>SA, SE, SQ</I> obtinent alium quemvis ordinem in $erie continue
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10438 proportionalium, lineæ <I>AH, EM, QT,</I> ob proportionales areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10439 Hyp<*>as, obtinebunt eundem ordinem in alia $erie quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10440 tum continue proportionalium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10441 <pb n=267>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10442 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10443 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10444 <C>PROPOSITIO XXII. THEOREMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10445 <p><I>Sit Fluidi cuju$dam den$itas compre$$ioni proportionalis, & partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10446 ejus a gravitate quadratis di$tantiarum $uarum a centro reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10447 proce proportionali deor$um trabantur: dico quod, $i di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10448 $umantur in progre$$ione Mu$ica, den$itates Fluidi in bis di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10449 $tantiis erunt in progre$$ione Geometrica.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10450 <p>De$ignet <I>S</I> centrum, & <I>SA, SB, SC, SD, SE</I> di$tantias in pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10451 gre$$ione Geometrica. Erigantur perpendicula <I>AH, BI, CK,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10452 quæ $int ut Fluidi den$itates in locis <I>A, B, C, D, E,</I> &c. & ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10453 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10454 gravitates $pecificæ in ii$dem locis erunt <I>(AH/SAq), (BI/SBq), (CK/SCq),</I> &c. Fin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10455 ge has gravitates uniformiter continuari, primam ab <I>A</I> ad <I>B,</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10456 cundam a <I>B</I> ad <I>C,</I> tertiam a <I>C</I> ad <I>D,</I> &c. Et hæ ductæ in altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10457 dines <I>AB, BC, CD, DE,</I> &c. vel, quod perinde e$t, in di$tantias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10458 <I>SA, SB, SC,</I> &c. altitudinibus illis proportionales, conficient ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10459 ponentes pre$$ionum <I>(AH/SA), (BI/SB), (CK/SC),</I> &c. Quare cum den$itates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10460 $int ut harum pre$$ionum $ummæ, differentiæ den$itatum <I>AH-BI,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10461 BI-CK,</I> &c. erunt ut $ummarum differentiæ <I>(AH/SA), (BI/SB), (CK/SC),</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10462 <pb n=268>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10463 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10464 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10465 Centro <I>S,</I> A$ymptotis <I>SA, Sx,</I> de$cribatur Hyperbola quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10466 vis, quæ $ecet perpendicula <I>AH, BI, CK,</I> &c. in <I>a, b, c,</I> &c. ut &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10467 perpendicula ad A$ymptoton <I>Sx</I> demi$$a <I>Ht, Iu, Kw</I> in <I>h, i, k</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10468 & den$itatum differentiæ <I>tu, uw,</I> &c. erunt üt <I>(AH/SA), (BI/SB),</I> &c. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10469 rectangula <I>tuXth, uwXui,</I> &c. $eu <I>tp, uq,</I> &c. ut <I>(AHXtb/SA),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10470 (BIXui/SB),</I> &c. id e$t, ut <I>Aa, Bb,</I> &c. E$t enim, ex natura Hyperbolæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10471 <I>SA</I> ad <I>AH</I> vel <I>St,</I> ut <I>th</I> ad <I>Aa,</I> adeoque (<I>AHXth/SA</I>) æquale <I>Aa</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10472 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10473 Et $imili argumento e$t (<I>BIXui/SB</I>) æquale <I>Bb,</I> &c. Sunt autem <I>Aa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10474 Bb, Cc,</I> &c. continue proportionales, & propterea differentiis $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10475 is <I>Aa-Bb, Bb-Cc,</I> &c. proportionales; ideoque differentiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10476 hi$ce proportionalia $unt rectangula <I>tp, uq,</I> &c. ut & $ummis diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10477 rentiarum <I>Aa-Cc</I> vel <I>Aa-Dd</I> $ummæ rectangulorum <I>tp+uq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10478 vel <I>tp+uq+wr.</I> Sunto eju$modi termini quam plurimi, & fum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10479 ma omnium differentiarum, puta <I>Aa-Ff,</I> erit $ummæ omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10480 rectangulorum, puta <I>zthn,</I> proportionalis. Augeatur numerus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10481 terminorum & minuantur di$tantiæ punctorum <I>A, B, C,</I> &c. in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10482 nitum, & rectangula illa evadent æqualia areæ Hyperbolicæ <I>zthn,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10483 adeoque huic areæ proportionalis e$t differentia <I>Aa-Ff.</I> Suman-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10484 <pb n=269>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10485 tur jam di$tantiæ quælibet, puta <I>SA, SD, SF</I> in progre$$ione Mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10486 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10487 SECUNDUS</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10488 $ica, & differentiæ <I>Aa-Dd, Dd-Ff</I> erunt æquales; & propter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10489 ea differentiis hi$ce proportionales areæ <I>thlx, xlnz</I> æquales erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10490 inter $e, & den$itates <I>St, Sx, Sz,</I> id e$t, <I>AH, DL, FN,</I> conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10491 nue proportionales. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10492 <p><I>Corol.</I> Hinc $i dentur Fluidi den$itates duæ quævis, puta <I>AH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10493 & <I>CK,</I> dabitur area <I>thkw</I> harum differentiæ <I>tw</I> re$pondens; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10494 inde invenietur den$itas <I>FN</I> in altitudine quacunque <I>SF,</I> $umen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10495 do aream <I>thnz</I> ad aream illam datam <I>thkw</I> ut e$t differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10496 <I>Aa-Ff</I> ad differentiam <I>Aa-Cc.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10497 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10498 <p>Simili argumentatione probari pote$t, quod $i gravitas particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10499 larum Fluidi diminuatur in triplicata ratione di$tantiarum a centro;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10500 & quadratorum di$tantiarum <I>SA, SB, SC,</I> &c. reciproca (nem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10501 pe <I>(SAcub./SAq), (SAcub./SBq), (SAcub./SCq)</I>) $umantur in progre$$ione Arithme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10502 tica; den$itates <I>AH, BI, CK,</I> &c. erunt in progre$$ione Geome-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10503 trica. Et $i gravitas diminuatur in quadruplicata ratione di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10504 tiarum, & cuborum di$tantiarum reciproca (puta <I>(SAqq/SAcub), (SAqq/SBcub),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10505 (SAqq/SCcub.),</I> &c.) $umantur in progre$$ione Arithmetica; den$itates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10506 <I>AH, BI, CK,</I> &c. erunt in progre$$ione Geometrica. Et $ic in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10507 infinitum. Rur$us. $i gravitas particularum Fluidi in omnibus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10508 $tantiis eadem $it, & di$tantiæ $int in progre$$ione Arithmetica,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10509 den$itates erunt in progre$$ione Geometrica, uti Vir Cl. <I>Edmundus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10510 Hælleius</I> invenit. Si gravitas $it ut di$tantia, & quadrata di$tantia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10511 rum $int in progre$$ione Arithmetica, den$itates erunt in progre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10512 $ione Geometrica. Et $ic in infinitum. Hæc ita $e habent ubi Fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10513 compre$$ione conden$ati den$itas e$t ut vis compre$$ionis, vel, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10514 perinde e$t, $patium a Fluido occupatum reciproce ut hæc vis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10515 Fingi po$$unt aliæ conden$ationis Leges, ut quod cubus vis com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10516 primentis $it ut quadrato-quadratum den$itatis, feu triplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10517 tio Vis æqualis quadruplicatæ rationi den$itatis. Quo in ca$u, $i gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10518 vitas e$t reciproce ut quadratum di$tantiæ a centro, den$itas erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10519 reciproce ut cubus di$tantiæ. Fingatur quod cubus vis compri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10520 mentis $it ut quadrato-cubus den$itatis, & $i gravitas e$t reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10521 ut quadratum di$tantiæ, den$itas erit reciproce in $u$quiplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10522 <pb n=270>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10523 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10524 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10525 tione di$tantiæ. Fingatur quod vis comprimens $it in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10526 ratione den$itatis, & gravitas reciproce in ratione duplicata di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10527 tiæ, & den$itas erit reciproce ut di$tantia. Ca$us omnes percurre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10528 re longum e$$et.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10529 <C>PROPOSITIO XXIII. THEOREMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10530 <p><I>Si Fluidi ex particulis $e mutuo fugientibus compo$iti den$itas $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10531 ut compre$$io, vires centrifugæ particularum $unt reciproce pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10532 portionales di$tantiis centrorum $uorum. Et vice ver$a, par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10533 ticulæ viribus quæ $unt reciproce proportionales di$tantiis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10534 trorum $uorum $e mutuo fugientes componunt Fluidum Ela$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10535 cum, cujus den$itas est compre$$ioni proportionalis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10536 <p>Includi intelligatur Fluidum in $patio cubico <I>ACE,</I> dein com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10537 pre$$ione redigi in $patium cubicum minus <I>ace</I>; & particularum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10538 $imilem $itum inter $e in utro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10539 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10540 que $patio obtinentium, di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10541 tiæ erunt ut cuborum latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10542 <I>AB, ab</I>; & Medii den$itates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10543 reciproce ut $patia continentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10544 <I>AB cub.</I> & <I>ab cub.</I> In latere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10545 cubi majoris <I>ABCD</I> capiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10546 quadratum <I>DP</I> æquale lateri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10547 cubi minoris <I>db</I>; & ex Hypo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10548 the$i, pre$$io qua quadratum <I>DP</I> urget Fluidum inclu$um, erit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10549 pre$$ionem qua latus illud quadratum <I>db</I> urget Fluidum inclu$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10550 ut Medii den$itates ad invicem, hoc e$t, ut <I>ab cub.</I> ad <I>ABcub.</I> Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10551 pre$$io qua quadratum <I>DB</I> urget Fluidum inclu$um, e$t ad pre$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10552 onem qua quadratum <I>DP</I> urget idem Fluidum, ut quadratum <I>DB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10553 ad quadratum <I>DP,</I> hoc e$t, ut <I>AB quad.</I> ad <I>ab quad.</I> Ergo, ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10554 æquo, pre$$io qua latus <I>DB</I> urget Fluidum, e$t ad pre$$ionem qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10555 latus <I>db</I> urget Fluidum, ut <I>ab</I> ad <I>AB.</I> Planis <I>FGH, fgh,</I> per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10556 media cuborum ductis, di$tinguatur Fluidum in duas partes, & hæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10557 $e mutuo prement ii$dem viribus, quibus premuntur a planis <I>AC, ac,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10558 hoc e$t, in proportione <I>ab</I> ad <I>AB:</I> adeoque vires centrifugæ, qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10559 bus hæ pre$$iones $u$tinentur, $unt in eadem ratione. Ob eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10560 particularum numerum $imilemque $itum in utroque cubo, vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10561 quas particulæ omnes $ecundum plana <I>FGH, fgh</I> exercent in om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10562 <pb n=271>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10563 nes, $unt ut vires quas $ingulæ exercent in $ingulas. Ergo vires,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10564 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10565 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10566 quas $ingulæ exercent in $ingulas $ecundum planum <I>FGH</I> in cubo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10567 majore, $unt ad vires quas $ingulæ exercent in $ingulas $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10568 planum <I>fgh</I> in cubo minore ut <I>ab</I> ad <I>AB,</I> hoc e$t, reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10569 di$tantiæ particularum ad invicem. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10570 <p>Et vice ver$a, $i vires particularum $ingularum $unt reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10571 ut di$tantiæ, id e$t, reciproce ut cuborum latera <I>AB, ab</I>; $ummæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10572 virium erunt in eadem ratione, & pre$$iones laterum <I>DB, db</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10573 $ummæ virium; & pre$$io quadrati <I>DP</I> ad pre$$ionem lateris <I>DB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10574 ut <I>ab quad.</I> ad <I>AB quad.</I> Et, ex æquo, pre$$io quadrati <I>DP</I> ad pre$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10575 $ionem lateris <I>db</I> ut <I>ab cub.</I> ad <I>AB cub.</I> id e$t, vis compre$$ionis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10576 vim compre$$ionis ut den$itas ad den$itatem. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10577 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10578 <p>Simili argumento, $i particularum vires centrifugæ $int reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10579 in duplicata ratione di$tantiarum inter centra, cubi virium compri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10580 mentium erunt ut quadrato-quadrata den$itarum. Si vires centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10581 fugæ $int reciproce in triplicata vel quadruplicata ratione di$tantia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10582 rum, cubi virium comprimentium erunt ut quadrato-cubi vel cubo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10583 cubi den$itatum. Et univer$aliter, $i D ponatur pro di$tantia, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10584 E pro den$itate Fluidi compre$$i, & vires centrifugæ $int reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10585 ut di$tantiæ dignitas quælibet D<SUP><I>n</I></SUP>, cujus index e$t numerus <I>n</I>; vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10586 res comprimentes erunt ut latera cubica dignitatis E<SUP><I>n</I>+2</SUP>, cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10587 index e$t numerus <I>n</I>+2: & contra. Intelligenda vero $unt hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10588 omnia de particularum Viribus centrifugis quæ terminantur in par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10589 ticulis proximis, aut non longe ultra diffunduntur. Exemplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10590 habemus in corporibus Magneticis. Horum Virtus attractiva ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10591 minatur fere in $ui generis corporibus $ibi proximis. Magnetis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10592 virtus per interpo$itam laminam ferri contrahitur, & in lamina fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10593 terminatur. Nam corpora ulteriora non tam a Magnete quam a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10594 lamina trahuntur. Ad eundem modum $i particulæ fugant alias $ui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10595 generis particulas $ibi proximas, in particulas autem remotiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10596 virtutem nullam exerceant, ex huju$modi particulis componentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10597 Fluida de quibus actum e$t in hac Propo$itione. Quod $i particulæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10598 cuju$que virtus in infinitum propagetur, opus erit vi majori ad æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10599 lem conden$ationem majoris quantitatis Fluidi. An vero Fluida
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10600 Ela$tica ex particulis $e mutuo fugantibus con$tent, Quæ$tio Phy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10601 $ica e$t. Nos proprietatem Fluidorum ex eju$modi particulis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10602 $tantium Mathematice demon$travimus, ut Philo$ophis an$am præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10603 beamus Quæ$tionem illam tractandi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10604 <pb n=272>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10605 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10606 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10607 <C>SECTIO VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10608 <C><I>De Motu & Re$i$tentia Corporum Funependulorum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10609 <C>PROPOSITIO XXIV. THEOREMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10610 <p><I>Quantitates materiæ in corporibus funependulis, quoruns centra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10611 o$cillationum a centro $u$pen$ionis æqualiter di$tant, $unt in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10612 tione compo$ita ex ratione ponderum & ratione duplicata tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10613 porum o$cillationum in vacuo.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10614 <p>Nam velocitas, quam data vis in data materia dato tempore ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10615 nerare pote$t, e$t ut vis & tempus directe, & materia inver$e. Quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10616 major e$t vis vel majus tempus vel minor materia, eo major gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10617 rabitur velocitas. Id quod per motus Legem $ecundam manife-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10618 $tum e$t. Jam vero $i Pendula eju$dem $int longitudinis, vires mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10619 trices in locis a perpendiculo æqualiter di$tantibus $unt ut ponde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10620 ra: ideoque $i corpora duo o$cillando de$cribant arcus æquales, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10621 arcus illi dividantur in partes æquales; cum tempora quibus cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10622 pora de$cribant $ingulas arcuum partes corre$pondentes $int ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10623 tempora o$cillationum totarum, erunt velocitates ad invicem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10624 corre$pondentibus o$cillationum partibus, ut vires motrices & tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10625 o$cillationum tempora directe & quantitates materiæ reciproce:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10626 adeoque quantitates materiæ ut vires & o$cillationum tempora di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10627 recte & velocitates reciproce. Sed velocitates reciproce $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10628 tempora, atque adeo tempora directe & velocitates reciproce $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10629 ut quadrata temporum, & propterea quantitates materiæ $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10630 vires motrices & quadrata temporum, id e$t, ut pondera & quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10631 ta temporum. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10632 <p><I>Corol.</I> 1. Ideoque $i tempora $unt æqualia, quantitates materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10633 in $ingulis corporibus erunt ut pondera.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10634 <p><I>Corol.</I> 2. Si pondera $unt æqualia, quantitates materiæ erunt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10635 quadrata temporum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10636 <p><I>Corol.</I> 3. Si quantitates materiæ æquantur, pondera erunt reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10637 proce ut quadrata temporum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10638 <pb n=273>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10639 <p><I>Corol.</I> 4. Unde cum quadrata temporum, cæteris paribus, $int ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10640 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10641 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10642 longitudines pendulorum; $i & tempora & quantitates materiæ æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10643 qualia $unt, pondera erunt ut longitudines pendulorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10644 <p><I>Corol.</I> 5. Et univer$aliter, quantitas materiæ pendulæ e$t ut pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10645 dus & quadratum temporis directe, & longitudo penduli inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10646 <p><I>Corol.</I> 6. Sed & in Medio non re$i$tente quantitas materiæ pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10647 dulæ e$t ut pondus comparativum & quadratum temporis directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10648 & longitudo penduli inver$e. Nam pondus comparativum e$t vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10649 motrix corporis in Medio quovis gravi, ut $upra explicui; adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10650 idem præ$tat in tali Medio non re$i$tente atque pondus ab$olutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10651 in vacuo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10652 <p><I>Corol.</I> 7. Et hinc liquet ratio tum comparandi corpora inter $e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10653 quoad quantitatem materiæ in $ingulis; tum comparandi pondera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10654 eju$dem corporis in diver$is locis, ad cogno$cendam variationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10655 gravitatis. Factis autem experimentis quam accurati$$imis inveni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10656 $emper quantitatem materiæ in corporibus $ingulis eorum ponderi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10657 proportionalem e$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10658 <C>PROPOSITIO XXV. THEOREMA XX:</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10659 <p><I>Corpora Funependula quibus, in Medio quovis, re$i$titur in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10660 momentorum temporis, & corpora Funependula quæ in eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10661 gravitatis $pecificæ Medio non re$i$lente moventur, o$cillatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10662 nes in Cycloide eodem tempore peragunt, & arcuum partes pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10663 portionales $imul de$cribunt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10664 <p>Sit <I>AB</I> Cycloidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10665 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10666 arcus, quem corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10667 <I>D</I> tempore quovis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10668 Medio non re$i$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10669 o$cillando de$cribit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10670 Bi$ecetur idem in <I>C,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10671 ita ut <I>C</I> $it infimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10672 ejus punctum; & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10673 vis acceleratrix qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10674 corpus urgetur in lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10675 co quovis <I>D</I> vel <I>d</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10676 <I>E</I> ut longitudo arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10677 <I>CD</I> vel <I>Cd</I> vel <I>CE.</I> Exponatur vis illa per eundem arcum; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10678 cum re$i$tentia $it ut momentum temporis, adeoque detur, expona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10679 <pb n=274>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10680 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10681 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10682 tur eadem per datam arcus Cycloidis partem <I>CO,</I> & $umatur ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10683 cus <I>Od</I> in ratione ad arcum <I>CD</I> quam habet arcus <I>OB</I> ad arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10684 <I>CB:</I> & vis qua corpus in <I>d</I> urgetur in Medio re$i$tente, cum $it ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10685 ce$$us vis <I>Cd</I> $upra re$i$tentiam <I>CO,</I> exponetur per arcum <I>Od,</I> ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10686 eoque erit ad vim qua corpus <I>D</I> urgetur in Medio non re$i$tente,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10687 in loco <I>D,</I> ut arcus <I>Od</I> ad arcum <I>CD</I>; & propterea etiam in lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10688 co <I>B</I> ut arcus <I>OB</I> ad arcum <I>CB.</I> Proinde $i corpora duo, <I>D, d</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10689 exeant de loco <I>B,</I> & his viribus urgeantur: cum vires $ub initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10690 $int ut arcus <I>CB</I> & <I>OB,</I> erunt velocitates primæ & arcus primo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10691 de$cripti in eadem ratione. Sunto arcus illi <I>BD</I> & <I>Bd,</I> & arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10692 reliqui <I>CD, Od</I> erunt in eadem ratione. Proinde vires, ip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10693 <I>CD, Od</I> proportionales, manebunt in eadem ratione ac $ub initio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10694 & propterea corpora pergent arcus in eadem ratione $imul de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10695 bere. Igitur vires &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10696 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10697 velocitates & arcus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10698 liqui <I>CD, Od</I> $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10699 erunt ut arcus toti <I>CB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10700 OB,</I> & propterea ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10701 cus illi reliqui $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10702 de$cribentur. Quare
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10703 corpora duo <I>D, d</I> $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10704 mul pervenient ad loca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10705 <I>C</I> & <I>O,</I> alterum qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10706 dem in Medio non re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10707 $i$tente ad locum <I>C,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10708 alterum in Medio re$i$tente ad locum <I>O.</I> Cum autem velocitates in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10709 <I>C</I> & <I>O</I> $int ut arcus <I>CB, OB</I>; erunt arcus quos corpora ulterius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10710 pergendo $imul de$cribunt, in eadem ratione. Sunto illi <I>CE</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10711 <I>Oe.</I> Vis qua corpus <I>D</I> in Medio non re$i$tente retardatur in <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10712 e$t ut <I>CE,</I> & vis qua corpus <I>d</I> in Medio re$i$tente retardatur in <I>e</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10713 e$t ut $umma vis <I>Ce</I> & re$i$tentiæ <I>CO,</I> id e$t ut <I>Oe</I>; ideoque vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10714 res, quibus corpora retardantur, $unt ut arcubus <I>CE, Oe</I> propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10715 tionales arcus <I>CB, OB</I>; proindeque velocitates, in data illa ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10716 ne retardatæ, manent in eadem illa data ratione. Velocitates igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10717 & arcus ii$dem de$cripti $emper $unt ad invicem in data illa ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10718 ne arcuum <I>CB</I> & <I>OB</I>; & propterea $i $umantur arcus toti <I>AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10719 aB</I> in eadem ratione, corpora <I>D, d</I> $imul de$cribent hos arcus, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10720 in locis <I>A</I> & <I>a</I> motum omnem $imul amittent. I$ochronæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10721 igitur o$cillationes totæ, & arcubus totis <I>BA, Ba</I> proportionales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10722 $unt arcuum partes quælibet <I>BD, Bd</I> vel <I>BE, Be</I> quæ $imul de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10723 $eribuntur. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10724 <pb n=275>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10725 <p><I>Corol.</I> Igitur motus veloci$$imus in Medio re$i$tente non incidit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10726 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10727 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10728 in punctum infimum <I>C,</I> $ed reperitur in puncto illo <I>O,</I> quo arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10729 totus de$criptus <I>aB</I> bi$ecatur. Et corpus $ubinde pergendo ad <I>a,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10730 ii$dem gradibus retardatur quibus antea accelerabatur in de$cen$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10731 $uo a <I>B</I> ad <I>O.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10732 <C>PROPOSITIO XXVI. THEOREMA XXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10733 <p><I>Corporum Funependulorum, quibus re$i$titur in ratione velocitatum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10734 o$cillationes in Cycloide $unt I$ochronæ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10735 <p>Nam $i corpora duo, a centris $u$pen$ionum æqualiter di$tantia,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10736 o$cillando de$cribant arcus inæquales, & velocitates in arcuum par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10737 tibus corre$pondentibus $int ad invicem ut arcus toti: re$i$tentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10738 velocitatibus proportionales, erunt etiam ad invicem ut iidem ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10739 cus. Proinde $i viribus motricibus a gravitate oriundis, quæ $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10740 ut iidem arcus, auferantur vel addantur hæ re$i$tentiæ, erunt dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10741 ferentiæ vel $ummæ ad invicem in eadem arcuum ratione: cumque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10742 velocitatum incrementa vel decrementa $int ut hæ differentiæ vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10743 $ummæ, velocitates $emper erunt ut arcus toti: Igitur velocitates,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10744 $i $int in aliquo ca$u ut arcus toti, manebunt $emper in eadem ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10745 tione. Sed in principio motus, ubi corpora incipiunt de$cendere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10746 & arcus illos de$cribere, vires, cum $int arcubus proportionales, ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10747 nerabunt velocitates arcubus proportionales. Ergo velocitates $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10748 per erunt ut arcus toti de$cribendi, & propterea arcus illi $imul de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10749 $cribentur. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10750 <C>PROPOSITIO XXVII. THEOREMA XXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10751 <p><I>Si Corporibus Funependulis re$i$titur in duplicata ratione veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10752 tatum, differentiæ inter tempora o$cillationum in Medio re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10753 $tente ac tempora o$cillationum in eju$dem gravitatis $pecificæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10754 Medio non re$i$tente, erunt arcubus o$cillando de$criptis pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10755 portionales, quam proxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10756 <p>Nam pendulis æqualibus in Medio re$i$tente de$cribantur arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10757 inæquales A, B; & re$i$tentia corporis in arcu A, erit ad re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10758 tiam corporis in parte corre$pondente arcus B, in duplicata ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10759 ne velocitatum, id e$t, ut AA ad BB, quam proxime. Si re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10760 <pb n=276>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10761 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10762 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10763 $tentia in arcu B e$$et ad re$i$tentiam in arcu A ut AB ad AA;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10764 tempora in arcubus A & B forent æqualia, per Propo$itionem $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10765 periorem. Ideoque re$i$tentia AA in arcu A, vel AB in arcu B,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10766 efficit exce$$um temporis in arcu A $upra tempus in Medio non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10767 re$i$tente; & re$i$tentia BB efficit exce$$um temporis in arcu B
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10768 $upra tempus in Medio non re$i$tente. Sunt autem exce$$us illi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10769 ut vires efficientes AB & BB quam proxime, id e$t, ut arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10770 A & B. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10771 <p><I>Corol.</I> 1. Hinc ex o$cillationum temporibus, in Medio re$i$tente,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10772 in arcubus inæqualibus factarum, cogno$ci po$$unt tempora o$cilla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10773 tionum in eju$dem gravitatis $pecificæ Medio non re$i$tente. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10774 differentia temporum erit ad exce$$um temporis in arcu minore $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10775 pra tempus in Medio non re$i$tente, ut differentia arcuum ad ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10776 cum minorem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10777 <p><I>Corol.</I> 2. O$cillationes breviores $unt magis I$ochronæ, & bre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10778 vi$$imæ ii$dem temporibus peraguntur ac in Medio non re$i$tente,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10779 quam proxime. Earum vero quæ in majoribus arcubus fiunt, tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10780 ra $unt paulo majora, propterea quod re$i$tentia in de$cen$u cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10781 poris qua tempus producitur, major $it pro ratione longitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10782 in de$cen$u de$criptæ, quam re$i$tentia in a$cen$u<*>$ub$equente qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10783 tempus contrahitur. Sed & tempus o$cillationum tam brevium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10784 quam longarum nonnihil produci videtur per motum Medii. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10785 corporibus tarde$centibus paulo minus re$i$titur, pro ratione velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10786 citatis, & corporibus acceleratis paulo magis quam iis quæ unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10787 miter progrediuntur: id adeo quia Medium, eo quem a corporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10788 accepit motu, in eandem plagam pergendo, in priore ca$u magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10789 agitatur, in po$teriore minus; ac proinde magis vel minus cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10790 corporibus motis con$pirat. Pendulis igitur in de$cen$u magis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10791 $i$tit, in a$cen$u minus quam pro ratione velocitatis, & ex utraque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10792 cau$a tempus producitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10793 <C>PROPOSITIO XXVIII. THEOREMA XXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10794 <p><I>Si Corpori Funependulo in Cycloide o$cillanti re$i$tisur in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10795 momentorum temporis, erit ejus re$i$tentia ad vim gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10796 ut exce$$us arcus de$cen$u toto de$cripti $upra arcum a$cen$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10797 $ub$equente de$criptum, ad penduli longitudinem duplicatam.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10798 <p>De$ignet <I>BC</I> arcum de$cen$u de$criptum, <I>Ca</I> arcum a$cen$u de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10799 $criptum, & <I>Aa</I> differentiam arcuum: & $tantibus quæ in Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10800 <pb n=277>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10801 $itione XXV con$tructa & demon$trata $unt, erit vis qua corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10802 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10803 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10804 olcnlans urgetur in loco quovis <I>D,</I> ad vim re$i$tentiæ ut arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10805 <I>CD</I> ad arcum <I>CO,</I> qui $emi$$is e$t differentiæ illius <I>Aa.</I> Ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10806 vis qua corpus o$cillans urgetur in Cycloidis principio $eu puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10807 alti$$imo, id e$t, vis gravitatis, erit ad re$i$tentiam ut arcus Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10808 cloidis inter punctum illud $upremum & punctum infimum <I>C</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10809 arcum <I>CO</I>; id e$t ($i arcus duplicentur) ut Cycloidis totius arcus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10810 $eu dupla penduli longitudo, ad arcum <I>Aa. Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10811 <C>PROPOSITIO XXIX. PROBLEMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10812 <p><I>Po$ito quod Corpori in Cycloide o$cillanti re$i$titur in duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10813 tione velocitatis: invenire re$i$tentiam in locis $ingulis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10814 <p>Sit <I>Ba</I> (Fig. Prop. XXV) arcus o$cillatione integra de$criptus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10815 $itque <I>C</I> infimum Cycloidis punctum, & <I>CZ</I> $emi$$is arcus Cycloi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10816 dis totius, longitudini Penduli æqualis; & quæratur re$i$tentia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10817 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10818 poris in loco quovis <I>D.</I> Secetur recta infinita <I>OQ</I> in punctis <I>O,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10819 C, P, Q,</I> ea lege, ut ($i erigantur perpendicula <I>OK, CT, PI, QE,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10820 centroque <I>O</I> & A$ymptotis <I>OK, OQ</I> de$cribatur Hyperbola <I>TIGE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10821 $ecans perpendicula <I>CT, PI, QE</I> in <I>T, I</I> & <I>E,</I> & per punctum <I>I</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10822 agatur <I>KF</I> parallela A$ymptoto <I>OQ</I> occurrens A$ymptoto <I>OK</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10823 <I>K,</I> & perpendiculis <I>CT</I> & <I>QE</I> in <I>L</I> & <I>F</I>) fuerit area Hyperboliea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10824 <I>PIEQ</I> ad aream Hyperbolicam <I>PITC</I> ut arcus <I>BC</I> de$cen$u cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10825 poris de$criptus ad arcum <I>Ca</I> a$cen$u de$criptum, & area <I>IEF</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10826 <pb n=278>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10827 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10828 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10829 aream <I>ILT</I> ut <I>OQ</I> ad <I>OC.</I> Dein perpendiculo <I>MN</I> ab$cindatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10830 area Hyperbolica <I>PINM</I> quæ $it ad aream Hyperbolicam <I>PIEQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10831 ut arcus <I>CZ</I> ad arcum <I>BC</I> de$cen$u de$criptum. Et $i perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10832 lo <I>RG</I> ab$cindatur area Hyperbolica <I>PIGR,</I> quæ $it ad aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10833 <I>PIEQ</I> ut arcus quilibet <I>CD</I> ad arcum <I>BC</I> de$cen$u toto de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10834 $criptum: erit re$i$tentia in loco <I>D</I> ad vim gravitatis, ut area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10835 <I>(OR/OQ)IEF-IGH</I> ad aream <I>PIENM.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10836 <p>Nam cum vires a gravitate oriundæ quibus corpus in locis <I>Z, B, D,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10837 a</I> urgetur, $int ut arcus <I>CZ, CB, CD, Ca,</I> & arcus illi $int ut areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10838 <I>PINM, PIEQ, PIGR, PITC</I>; exponantur tum arcus tum vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10839 res per has areas re$pective. Sit in$uper <I>Dd</I> $patium quam minimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10840 a corpore de$cendente de$criptum, & exponatur idem per aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10841 quam minimam <I>RGgr</I> parallelis <I>RG, rg</I> comprehen$am; & pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10842 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10843 ducatur <I>rg</I> ad <I>h,</I> ut $int <I>GHhg,</I> & <I>RGgr</I> contemporanea arearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10844 <I>IGH, PIGR</I> decrementa. Et areæ <I>(OR/OQ)IEF-IGH</I> incremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10845 tum <I>GHhg-(Rr/OQ)IEF,</I> $eu <I>RrXHG-(Rr/OQ)IEF,</I> erit ad areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10846 <I>PIGR</I> decrementum <I>RGgr</I> $eu <I>RrXRG,</I> ut <I>HG-(IEF/OQ)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10847 ad <I>RG</I>; adeoque ut <I>ORXHG-(OR/OQ)IEF</I> ad <I>ORXGR</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10848 <I>OPXPI,</I> hoc e$t (ob æqualia <I>ORXHG, ORXHR-ORXGR,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10849 ORHK-OPIK, PIHR</I> & <I>FIGR+IGH</I>) ut <I>PIGR+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10850 IGH-(OR/OQ)IEF</I> ad <I>OPIK.</I> Igitur $i area <I>(OR/OQ)IEF-IGH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10851 <pb n=279>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10852 dicatur Y, atque areæ <I>PIGR</I> decrementum <I>RGgr</I> detur, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10853 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10854 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10855 incrementum areæ Y ut <I>PIGR</I>-Y.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10856 <p>Quod $i V de$ignet vim a gravitate oriundam, arcui de$cribendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10857 <I>CD</I> proportionalem, qua corpus urgetur in <I>D:</I> & R pro re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10858 tia ponatur: erit V-R vis tota qua corpus urgetur in <I>D.</I> E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10859 itaque incrementum velocitatis ut V-R & particula illa temporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10860 in qua factum e$t conjunctim: Sed & velocitas ip$a e$t ut incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10861 mentum contemporaneum $patii de$cripti directe & particula ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10862 dem temporis inver$e. Unde, cum re$i$tentia (per Hypothe$in)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10863 $it ut quadratum velocitatis, incrementum re$i$tentiæ (per Lem. II)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10864 erit ut velocitas & incrementum velocitatis conjunctim, id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10865 momentum $patii & V-R conjunctim; atque adeo, $i momen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10866 tum $patii detur, ut V-R; id e$t, $i pro vi V $eribatur ejus ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10867 ponens <I>PIGR,</I> & re$i$tentia R exponatur per aliam aliquam are-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10868 am Z, ut <I>PIGR</I>-Z.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10869 <p>Igitur area <I>PIGR</I> per datorum momentorum $ubductionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10870 uniformiter decre$cente, cre$cunt area Y in ratione <I>PIGR</I>-Y,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10871 & area Z in ratione <I>PIGR</I>-Z. Et propterea $i areæ Y & Z $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10872 mul incipiant & $ub initio æquales $int, hæ per additionem æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10873 lium momentorum pergent e$$e æquales, & æqualibus itidem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10874 mentis $ubinde decre$centes $imul evane$cent. Et vici$$im, $i $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10875 incipiunt & $imul evane$cunt, æqualia habebunt momenta & $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10876 per erunt æquales: id adeo quia $i re$i$tentia Z augeatur, veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10877 tas una cum arcu illo <I>Ca,</I> qui in a$cen$u corporis de$cribitur, dimi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10878 nuetur; & puncto in quo motus omnis una cum re$i$tentia ce$$at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10879 propius accedente ad punctum <I>C,</I> re$i$tentia citius evane$cet quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10880 area Y. Et contrarium eveniet ubi re$i$tentia diminuitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10881 <p>Jam vero area Z incipit de$initque ubi re$i$tentia nulla e$t, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10882 e$t, in principio & fine motus, ubi arcus <I>CD, CD</I> arcubus <I>CB</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10883 <I>Ca</I> æquantur, adeoque ubi recta <I>RG</I> incidit in rectas <I>QE</I> & <I>CT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10884 Et area Y $eu <I>(OR/OQ)IEF-IGH</I> incipit de$initque ubi nulla e$t, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10885 eoque ubi <I>(OR/OQ)IEF</I> & <I>IGH</I> æqualia $unt: hoc e$t (per con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10886 $tructionem) ubi recta <I>RG</I> incidit in rectas <I>QE</I> & <I>CT.</I> Proin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10887 deque areæ illæ $imul incipiunt & $imul evane$cunt, & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10888 $emper $unt æquales. Igitur area <I>(OR/OQ)IEF-IGH</I> æqualis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10889 areæ Z, per quam re$i$tentia exponitur, & propterea e$t ad aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10890 <I>PINM</I> per quam gravitas exponitur, ut re$i$tentia ad gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10891 tem. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10892 <pb n=280>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10893 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10894 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10895 <p><I>Corol.</I> 1. E$t igitur re$i$tentia in loco infimo <I>C</I> ad vim gravitatis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10896 ut area <I>(OP/OQ) IEF</I> ad aream <I>PINM.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10897 <p><I>Corol.</I> 2. Fit autem maxima, ubi area <I>PIHR</I> e$t ad aream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10898 <I>IEF</I> ut <I>OR</I> ad <I>OQ.</I> Eo enim in ca$u momentum ejus (nimirum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10899 <I>PIGR</I>-Y) evadit nullum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10900 <p><I>Corol.</I> 3. Hinc etiam innote$cit velocitas in locis $ingulis: quippe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10901 quæ e$t in $ubduplicata ratione re$i$tentiæ, & ip$o motus initio æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10902 quatur velocitati corporis in eadem Cycloide ab$que omni re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10903 tia o$cillantis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10904 <p>Cæterum ob difficilem calculum quo re$i$tentia & velocitas per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10905 hanc Propo$itionem inveniendæ $unt, vi$um e$t Propo$itionem $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10906 quentem $ubjungere, quæ & generalior $it & ad u$us Philo$ophi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10907 cos abunde $atis accurata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10908 <C>PROPOSITIO XXX. THEOREMA XXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10909 <p><I>Si recta</I> aB <I>æqualis $it Cycloidis arcui quem corpus o$cillando de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10910 $cribit, & ad $ingula ejus puncta</I> D <I>erigantur perpendicula</I> DK,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10911 <I>quæ $int ad longitudinem Penduli ut re$i$tentia corporis in ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10912 cus punctis corre$pondentibus ad vim gravitatis: dico quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10913 differentia inter arcum de$cen$u toto de$criptum, & arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10914 a$cen$u toto $ub$equente de$criptum, ducta in arcuum eorundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10915 $emi$ummam, æqualis erit areæ</I> BKaB <I>a perpendiculis omnibus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10916 DK <I>occupatæ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10917 <p>Exponatur enim tum Cycloidis arcus, o$cillatione integra de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10918 $criptus, per rectam illam $ibi æqualem <I>aB,</I> tum arcus qui de$cribe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10919 retur in vacuo per longitudinem <I>AB.</I> Bi$ecetur <I>AB</I> in <I>C,</I> & pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10920 ctum <I>C</I> repræ$entabit infimum Cycloidis punctum, & erit <I>CD</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10921 vis a gravitate oriunda, qua corpus in <I>D</I> $ecundum tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10922 Cycloidis urgetur, eamque habebit rationem ad longitudinem Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10923 duli quam habet vis in <I>D</I> ad vim gravitatis. Exponatur igitur vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10924 illa per longitudinem <I>CD,</I> & vis gravitatis per longitudinem pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10925 duli, & $i in <I>DE</I> capiatur <I>DK</I> in ea ratione ad longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10926 <pb n=281>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10927 penduli quam habet re$i$tentia ad gravitatem, erit <I>DK</I> exponens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10928 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10929 SECUNDUS</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10930 re$i$tentiæ. Centro <I>C</I> & intervallo <I>CA</I> vel <I>CB</I> con$truatur Semi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10931 circulus <I>BEeA.</I> De$cribat autem corpus tempore quam minimo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10932 $patium <I>Dd,</I> & erectis perpendiculis <I>DE, de</I> circumferentiæ oc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10933 currentibus in <I>E</I> & <I>e,</I> erunt hæc ut velocitates quas corpus in va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10934 cuo, de$cendendo a puncto <I>B,</I> acquireret in locis <I>D</I> & <I>d.</I> Patet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10935 hoc per Prop. LII. Lib. 1. Exponantur itaque hæ velocitates per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10936 perpendicula illa <I>DE, de</I>; $itque <I>DF</I> velocitas quam acquirit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10937 in <I>D</I> cadendo de <I>B</I> in Medio re$i$tente. Et $i centro <I>C</I> & inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10938 vallo <I>CF</I> de$cribatur Circulus <I>FfM</I> occurrens rectis <I>de</I> & <I>AB</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10939 <I>f</I> & <I>M,</I> erit <I>M</I> locus ad quem deinceps ab$que ulteriore re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10940 tia a$cenderet, & <I>df</I> velocitas quam acquireret in <I>d.</I> Unde etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10941 $i <I>Fg</I> de$ignet velocitatis momentum quod corpus <I>D,</I> de$cribendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10942 $patium quam minimum <I>Dd,</I> ex re$i$tentia Medii amittit; & $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10943 matur <I>CN</I> æqualis <I>Cg:</I> erit <I>N</I> locus ad quem corpus deinceps
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10944 ab$que ulteriore re$i$tentia a$cenderet, & <I>MN</I> erit decrementum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10945 a$cen$us ex velocitatis illius ami$$ione oriundum. Ad <I>df</I> demitta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10946 tur perpendiculum <I>Fm,</I> & velocitatis <I>DF</I> decrementum <I>Fg</I> a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10947 re$i$tentia <I>DK</I> genitum, erit ad velocitatis eju$dem incrementum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10948 <I>fm</I> a vi <I>CD</I> genitum, ut vis generans <I>DK</I> ad vim generantem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10949 <I>CD.</I> Sed & ob $imilia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10950 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10951 triangula <I>Fmf, Fhg,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10952 FDC,</I> e$t <I>fm</I> ad <I>Fm</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10953 $eu <I>Dd,</I> ut <I>CD</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10954 <I>DF</I>; & ex æquo <I>Fg</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10955 <I>Dd</I> ut <I>DK</I> ad <I>DF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10956 Item <I>Fh</I> ad <I>Fg</I> ut <I>DF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10957 ad <I>CF</I>; & ex æquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10958 perturbate, <I>Fh</I> $eu <I>MN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10959 ad <I>Dd</I> ut <I>DK</I> ad <I>CF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10960 $eu <I>CM</I>; ideoque $umma omnium <I>MNXCM</I> æqualis erit $ummæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10961 omnium <I>DdXDK.</I> Ad punctum mobile <I>M</I> erigi $emper intelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10962 gatur ordinata rectangula æqualis indeterminatæ <I>CM,</I> quæ motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10963 continuo ducatur in totam longitudinem <I>Aa</I>; & trapezium ex illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10964 motu de$criptum $ive huic æquale rectangulum <I>Aa</I>X1/2<I>aB</I> æquabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10965 $ummæ omnium <I>MNXCM,</I> adeoque $ummæ omnium <I>DdXDK,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10966 id e$t, areæ <I>BKkVTa. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10967 <p><I>Corol.</I> Hinc ex lege re$i$tentiæ & arcuum <I>Ca, CB</I> differentia <I>Aa,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10968 colligi pote$t proportio re$i$tentiæ ad gravitatem quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10969 <pb n=282>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10970 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10971 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10972 <p>Nam $i uniformis $it re$i$tentia <I>DK,</I> Figura <I>aBKkT</I> rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10973 lum erit $ub <I>Ba</I> & <I>DK</I>; & inde rectangulum $ub 1/2 <I>Ba</I> & <I>Aa</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10974 erit æquale rectangulo $ub <I>Ba</I> & <I>DK,</I> & <I>DK</I> æqualis erit 1/2 <I>Aa.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10975 Quare cum <I>DK</I> $it exponens re$i$tentiæ, & longitudo penduli ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10976 ponens gravitatis, erit re$i$tentia ad gravitatem ut 1/2 <I>Aa</I> ad longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10977 tudinem Penduli; omnino ut in Prop. XXVIII demon$tratum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10978 <p>Si re$i$tentia $it ut velocitas, Figura <I>aBKkT</I> Ellip$is erit quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10979 provime. Nam $i corpus, in Medio non re$i$tente, o$cillatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10980 integra de$criberet longitudinem <I>BA,</I> velocitas in loco quovis <I>D</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10981 foret ut Circuli diametro <I>AB</I> de$cripti ordinatim applicata <I>DE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10982 Proinde cum <I>Ba</I> in Medio re$i$tente, & <I>BA</I> in Medio non re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10983 $tente, æqualibus circiter temporibus de$cribantur; adeoque velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10984 citates in $ingulis ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10985 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10986 <I>Ba</I> punctis, $int quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10987 proxime ad velocitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10988 in punctis corre$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10989 dentibus longitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10990 <I>BA,</I> ut e$t <I>Ba</I> ad <I>BA</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10991 erit velocitas <I>DK</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10992 Medio re$i$tente ut Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10993 culi vel Ellip$eos $uper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10994 diametro <I>Ba</I> de$cripti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10995 ordinatim applicata; adeoque Figura <I>BKVTa</I> Ellip$is, quam pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10996 xime. Cum re$i$tentia velocitati proportionalis $upponatur, $it <I>OV</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10997 exponens re$i$tentiæ in puncto Medio <I>O</I>; & Ellip$is <I>aBRVS,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10998 centro <I>O,</I> $emiaxibus <I>OB, OV</I> de$cripta, Figuram <I>aBKVT,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	10999 eique æquale rectangulum <I>AaXBO,</I> æquabit quamproxime. E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11000 igitur <I>AaXBO</I> ad <I>OVXBO</I> ut area Ellip$eos hujus ad <I>OVXBO</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11001 id e$t, <I>Aa</I> ad <I>OV</I> ut area $emicirculi ad quadratum radii, $ive ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11002 11 ad 7 circiter: Et propterea (1/11) <I>Aa</I> ad longitudinem penduli ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11003 corporis o$cillantis re$i$tentia in <I>O</I> ad eju$dem gravitatem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11004 <p>Quod $i re$i$tentia <I>DK</I> $it in duplicata ratione velocitatis, Fi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11005 gura <I>BKVTa</I> Parabola erit verticem habens <I>V</I> & axem <I>OV,</I> id-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11006 eoque æqualis erit rectangulo $ub 2/3 <I>Ba</I> & <I>OV</I> quam proxime. E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11007 igitur rectangulum $ub 1/2 <I>Ba</I> & <I>Aa</I> æquale rectangulo $ub 2/3 <I>Ba</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11008 & <I>OV,</I> adeoque <I>OV</I> æqualis 1/4 <I>Aa:</I> & propterea corporis o$cillan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11009 tis re$i$tentia in <I>O</I> ad ip$ius gravitatem ut 1/4 <I>Aa</I> ad longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11010 nem Penduli.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11011 <p>Atque has conclu$iones in rebus practicis abunde $atis accuratas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11012 e$$e cen$eo. Nam cum Ellip$is vel Parabola <I>BRVSa</I> congruat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11013 <pb n=283>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11014 cum Figura <I>BKVTa</I> in puncto medio <I>V,</I> hæc $i ad partem al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11015 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11016 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11017 terutram <I>BRV</I> vel <I>VSa</I> excedit Figuram illam, deficiet ab eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11018 ad partem alteram, & $ic eidem æquabitur quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11019 <C>PROPOSITIO XXXI. THEOREMA XXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11020 <p><I>Si Corporis o$cillantis re$i$tentia in $ingulis arcuum de$criptorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11021 partibus proportionalibus augeatur vel minuatur in data ratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11022 ne; differentia inter arcum de$cen$u de$criptum & arcum $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11023 $equente a$cen$u de$criptum, augebitur vel diminuetur in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11024 ratione.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11025 <p>Oritur enim differentia illa ex retardatione Penduli per re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11026 $tentiam Medii, adeoque e$t ut retardatio tota eique proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11027 nalis re$i$tentia retardans. In $uperiore Propo$itione rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11028 lum $ub recta 1/2 <I>aB</I> & arcuum illorum <I>CB, Ca</I> differentia <I>Aa,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11029 æqualis erat areæ <I>BKT.</I> Et area illa, $i maneat longitudo <I>aB,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11030 augetur vel diminuitur in ratione ordinatim applicatarum <I>DK</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11031 hoc e$t, in ratione re$i$tentiæ, adeoque e$t ut longitudo <I>aB</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11032 re$i$tentia conjunctim. Proindeque rectangulum $ub <I>Aa</I> & 1/2 <I>aB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11033 e$t ut <I>aB</I> & re$i$tentia conjunctim, & propterea <I>Aa</I> ut re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11034 tia. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11035 <p><I>Corol.</I> 1. Unde $i re$i$tentia $it ut velocitas, differentia arcuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11036 in eodem Medio erit ut arcus totus de$criptus: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11037 <p><I>Corol.</I> 2. Si re$i$tentia $it in duplicata ratione velocitatis, diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11038 rentia illa erit in duplicata ratione arcus totius: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11039 <p><I>Corol.</I> 3. Et univer$aliter, $i re$i$tentia $it in triplicata vel alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11040 quavis ratione velocitatis, differentia erit in eadem ratione arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11041 totius: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11042 <p><I>Corol.</I> 4. Et $i re$i$tentia $it partim in ratione $implici velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11043 tis, partim in eju$dem ratione duplicata, differentia erit partim in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11044 ratione arcus totius & partim in ejus ratione duplicata: & contra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11045 Eadem erit lex & ratio re$i$tentiæ pro velocitate, quæ e$t differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11046 tiæ illius pro longitudine arcus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11047 <p><I>Corol.</I> 5. Ideoque $i, pendulo inæquales arcus $ucce$$ive de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11048 bente, inveniri pote$t ratio incrementi ac decrementi differentiæ hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11049 jus pro longitudine arcus de$cripti; habebitur etiam ratio incrementi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11050 ac decrementi re$i$tentiæ pro velocitate majore vel minore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11051 <pb n=284>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11052 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11053 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11054 <C><I>Scholium Generale.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11055 <p>Ex his Propo$itionibus, per o$cillationes Pendulorum in Mediis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11056 quibu$cunque, invenire licet re$i$tentiam Mediorum. Aeris vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11057 re$i$tentiam inve$tigavi per Experimenta $equentia. Globum lig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11058 neum pondere unciarum <I>Romanarum</I> (57 7/22), diametro digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11059 <I>Londinen$ium</I> 6 7/8 fabricatum, filo tenui ab unco $atis firmo $u$pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11060 di, ita ut inter uncum & centrum o$cillationis Globi di$tantia e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11061 pedum 10 1/2. In filo punctum notavi pedibus decem & uncia una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11062 a centro $u$pen$ionis di$tans; & e regione puncti illius collocavi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11063 Regulam in digitos di$tinctam, quorum ope notarem longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11064 nes arcuum a Pendulo de$criptas. Deinde numeravi o$cillationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11065 quibus Globus octavam motus $ui partem amitteret. Si pendu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11066 lum deducebatur a perpendiculo ad di$tantiam duorum digitorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11067 & inde demittebatur; ita ut toto $uo de$cen$u de$criberet arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11068 duorum digitorum, totaque o$cillatione prima, ex de$cen$u & a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11069 $u $ub$equente compo$ita, arcum digitorum fere quatuor: idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11070 o$cillationibus 164 ami$it octavam motus $ui partem, $ic ut ultimo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11071 $uo a$cen$u de$criberet arcum digiti unius cum tribus partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11072 quartis digiti. Si primo de$cen$u de$crip$it arcum digitorum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11073 tuor; ami$it octavam motus partem o$cillationibus 121, ita ut a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11074 $u ultimo de$criberet arcum digitorum 3 1/2. Si primo de$cen$u de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11075 $crip$it arcum digitorum octo, $exdecim, triginta duorum vel $exa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11076 ginta quatuor; ami$it octavam motus partem o$cillationibus 69, 35 1/2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11077 18 1/2, 9 2/3, re$pective. Igitur differentia inter arcus de$cen$u primo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11078 & a$cen$u ultimo de$criptos, erat in ca$u primo, $ecundo, tertio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11079 quarto, quinto, $exto, digitorum 1/4, 1/2, 1, 2, 4, 8 re$pective. Divi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11080 dantur eæ differentiæ per numerum o$cillationum in ca$u unoquo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11081 que, & in o$cillatione una mediocri, qua arcus digitorum 3 1/4, 7 1/2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11082 15, 30, 60, 120 de$criptus fuit, differentia arcuum de$cen$u & $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11083 $equente a$cen$u de$criptorum, erit (1/656), (1/242), (1/69), (4/71), (8/37), (24/29) partes di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11084 giti re$pective. Hæ autem in majoribus o$cillationibus $unt in du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11085 plicata ratione arcuum de$criptorum quam proxime, in minoribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11086 vero paulo majores quam in ea ratione; & propterea (per Corol. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11087 Prop. XXXI Libri hujus) re$i$tentia Globi, ubi celerius movetur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11088 e$t in duplicata ratione velocitatis quam proxime; ubi tardius, pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11089 lo major quam in ea ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11090 <pb n=285>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11091 <p>De$ignet jam V velocitatem maximam in o$cillatione quavis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11092 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11093 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11094 $intque A, B, C quantitates datæ, & fingamus quod differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11095 arcuum $it AV+BV 1/2+CV<SUP>2</SUP>. Cum velocitates maximæ $int in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11096 Cycloide ut $emi$$es arcuum o$cillando de$criptorum, in Circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11097 lo vero ut $emi$$ium arcuum illorum chordæ; adeoque paribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11098 arcubus majores $int in Cycloide quam in Circulo, in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11099 $emi$$ium arcuum ad eorundem chordas; tempora autem in Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11100 culo $int majora quam in Cycloide in velocitatis ratione reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11101 proca; patet arcuum differentias (quæ $unt ut re$i$tentia & qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11102 dratum temporis conjunctim) ea$dem fore, quamproxime, in utra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11103 que Curva: deberent enim differentiæ illæ in Cycloide augeri, una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11104 cum re$i$tentia, in duplicata circiter ratione arcus ad chordam, ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11105 velocitatem in ratione illa $implici auctam; & diminui, una cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11106 quadrato temporis, in eadem duplicata ratione. Itaque ut reductio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11107 fiat ad Cycloidem, eædem $umendæ $unt arcuum differentiæ quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11108 fuerunt in Circulo ob$ervatæ, velocitates vero maximæ ponen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11109 dæ $unt arcubus dimidiatis vel integris, hoc e$t, numeris 1/2, 1, 2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11110 4, 8, 16 analogæ. Scribamus ergo in ca$u $ecundo, quarto & $ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11111 to numeros 1, 4 & 16 pro V; & prodibit arcuum differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11112 (1/2/121)=A+B+C in ca$u $ecundo; (2/35 1/2)=4A+8B+16C in ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11113 quarto; & (8/9 2/3)=16A+64B+256C in ca$u $exto. Et ex his æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11114 quationibus, per debitam collationem & reductionem Analyticam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11115 fit A=0,0000916, B=0,0010847, & C=0,0029558. E$t igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11116 differentia arcuum ut 0,0000916V+0,0010847V1/2+0,0029558V<SUP>2</SUP>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11117 & propterea cum (per Corollarium Propo$itionis XXX) re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11118 Globi in medio arcus o$cillando de$cripti, ubi velocitas e$t V,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11119 $it ad ip$ius pondus ut (7/11)AV+(16/23)BV1/2+1/4CV<SUP>2</SUP> ad longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11120 Penduli; $i pro A, B & C $cribantur numeri inventi, fiet re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11121 Globi ad ejus pondus, ut 0,0000583V+0,0007546V1/2+0,0022169V<SUP>2</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11122 ad longitudinem Penduli inter centrum $u$pen$ionis & Regulam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11123 id e$t, ad 121 digitos. Unde cum V in ca$u $ecundo de$ignet 1,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11124 in quarto 4, in $exto 16: erit re$i$tentia ad pondus Globi in ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11125 $ecundo ut 0,0030298 ad 121, in quarto ut 0,0417402 ad 121, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11126 $exto ut 0,61675 ad 121.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11127 <p>Arcus quem punctum in filo notatum in ca$u $exto de$crip$it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11128 erat 120-(8/9 2/3) $eu (119 5/29) digitorum. Et propterea cum radius e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11129 121 digitorum, & longitudo Penduli inter punctum $u$pen$ionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11130 <pb n=286>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11131 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11132 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11133 & centrum Globi e$$et 126 digitorum, arcus quem centrum Globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11134 de$crip$it erat (124 1/31) digitorum. Quoniam corporis o$cillantis ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11135 locitas maxima, ob re$i$tentiam Aeris, non incidit in punctum infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11136 mum arcus de$cripti, $ed in medio fere loco arcus totius ver$atur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11137 hæc eadem erit circiter ac $i Globus de$cen$u $uo toto in Medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11138 non re$i$tente de$criberet arcus illius partem dimidiam digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11139 (62 1/62), idque in Cycloide, ad quam motum Penduli $upra reduxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11140 mus: & propterea velocitas illa æqualis erit velocitati quam Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11141 bus, perpendiculariter cadendo & ca$u $uo de$cribendo altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11142 arcus illius $inui ver$o æqualem, acquirere po$$et. E$t autem $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11143 ille ver$us in Cycloide ad arcum i$tum (62 1/62) ut arcus idem ad pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11144 duli longitudinem duplam 252, & propterea æqualis digitis 15,278.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11145 Quare velocitas ea ip$a e$t quam corpus cadendo & ca$u $uo $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11146 tium 15,278 digitorum de$cribendo acquirere po$$et. Tali igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11147 cum velocitate Globus re$i$tentiam patitur, quæ $it ad ejus pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11148 ut 0,61675 ad 121, vel ($i re$i$tentiæ pars illa $ola $pectetur quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11149 e$t in velocitatis ratione duplicata) ut 0,56752 ad 121.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11150 <p>Experimento autem Hydro$tatico inveni quod pondus Globi hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11151 jus lignei e$$et ad pondus Globi aquei magnitudinis eju$dem, ut 55
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11152 ad 97: & propterea cum 121 $it ad 213,4 in eadem ratione, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11153 re$i$tentia Globi aquei præfata cum velocitate progredientis ad ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11154 $ius pondus, ut 0,56752 ad 213,4 id e$t, ut 1 ad (376 1/50). Unde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11155 pondus Globi aquei, quo tempore Globus cum velocitate unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11156 miter continuata de$cribat longitudinem digitorum 30,556, veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11157 tatem illam omnem in Globo cadente generare po$$et; manife$tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11158 e$t quod vis re$i$tentiæ eodem tempore uniformiter continuata tol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11159 lere po$$et velocitatem minorem in ratione 1 ad (376 1/50), hoc e$t, ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11160 locitatis totius partem (1/(376 1/50)). Et propterea quo tempore Globus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11161 ea cum velocitate uniformiter continuata, longitudinem $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11162 tri $uæ, $eu digitorum (3 7/16), de$cribere po$$et, eodem amitteret mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11163 tus $ui partem (1/3342).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11164 <p>Numerabam etiam o$cillationes quibus Pendulum quartam mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11165 tus $ui partem ami$it. In $equente Tabula numeri $upremi deno-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11166 tant longitudinem arcus de$cen$u primo de$cripti, in digitis & par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11167 tibus digiti expre$$am: numeri medii $ignificant longitudinem ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11168 cus a$cen$u ultimo de$cripti; & loco infimo $tant numeri o$cilla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11169 tionum. Experimentum de$crip$i tanquam magis accuratum quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11170 cum motus pars tantum octava amitteretur. Calculum tentet qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11171 volet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11172 <pb n=287>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11173 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11174 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11175 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11176 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11177 <TD><I>De$cen$us primus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11178 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11179 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11180 <TD ALIGN="CENTER">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11181 <TD>16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11182 <TD>32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11183 <TD>64</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11184 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11185 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11186 <TD><I>A$cen$us ultimus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11187 <TD ALIGN="RIGHT">1 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11188 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11189 <TD ALIGN="CENTER">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11190 <TD>12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11191 <TD>34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11192 <TD>48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11193 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11194 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11195 <TD><I>Numerus O$cillat.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11196 <TD ALIGN="RIGHT">374</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11197 <TD ALIGN="RIGHT">272</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11198 <TD ALIGN="CENTER">162 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11199 <TD>83 1/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11200 <TD>41 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11201 <TD>22 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11202 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11203 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11204 <p>Po$tea Globum plumbeum, diametro digitorum 2, & pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11205 unciarum <I>Romanarum</I> 26 1/4, $u$pendi filo eodem, $ic ut inter cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11206 trum Globi & punctum $u$pen$ionis intervallum e$$et pedum 10 1/2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11207 & numerabam o$cillationes quibus data motus pars amitteretur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11208 Tabularum $ub$equentium prior exhibet numerum o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11209 quibus pars octava motus totius ce$$avit; $ecunda numerum o$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11210 lationum quibus eju$dem pars quarta ami$$a fuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11211 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11212 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11213 <TD><I>De$cen$us primus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11214 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11215 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11216 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11217 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11218 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11219 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11220 <TD ALIGN="RIGHT">64</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11221 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11222 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11223 <TD><I>A$cen$us ultimus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11224 <TD ALIGN="RIGHT">7/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11225 <TD ALIGN="RIGHT">7/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11226 <TD ALIGN="RIGHT">3 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11227 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11228 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11229 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11230 <TD ALIGN="RIGHT">56</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11231 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11232 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11233 <TD><I>Numerus O$cillat.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11234 <TD ALIGN="RIGHT">226</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11235 <TD ALIGN="RIGHT">228</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11236 <TD ALIGN="RIGHT">193</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11237 <TD ALIGN="RIGHT">140</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11238 <TD ALIGN="RIGHT">90 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11239 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11240 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11241 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11242 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11243 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11244 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11245 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11246 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11247 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11248 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11249 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11250 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11251 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11252 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11253 <TD><I>De$cen$us primus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11254 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11255 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11256 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11257 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11258 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11259 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11260 <TD ALIGN="RIGHT">64</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11261 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11262 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11263 <TD><I>A$cen$us ultimus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11264 <TD ALIGN="RIGHT">3/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11265 <TD ALIGN="RIGHT">1 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11266 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11267 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11268 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11269 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11270 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11271 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11272 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11273 <TD><I>Numerus O$cillat.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11274 <TD ALIGN="RIGHT">510</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11275 <TD ALIGN="RIGHT">518</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11276 <TD ALIGN="RIGHT">420</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11277 <TD ALIGN="RIGHT">318</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11278 <TD ALIGN="RIGHT">204</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11279 <TD ALIGN="RIGHT">121</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11280 <TD ALIGN="RIGHT">70</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11281 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11282 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11283 <p>In Tabula priore $eligendo ex ob$ervationibus tertiam, quintam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11284 & $eptimam, & exponendo velocitates maximas in his ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11285 tionibus particulatim per numeros 1, 4, 16 re$pective, & genera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11286 liter per quantitatem V ut $upra: emerget in ob$ervatione tertia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11287 (1/2/193)=A+B+C, in quinta (2/90 1/2)=4A+8B+16C, in $eptima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11288 (8/30)=16A+64B+256C. Hæ vero æquationes reductæ dant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11289 A=0,001414, B=0,000297, C=0,000879. Et inde prodit re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11290 $tentia Globi cum velocitate V moti, in ea ratione ad pondus $uum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11291 unciarum 26 1/4, quam habet 0,0009V+0,000207V1/2+0,000659V<SUP>2</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11292 ad penduli longitudinem 121 digitorum. Et $i $pectemus eam $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11293 lummodo re$i$tentiæ partem quæ e$t in duplicata ratione velocitatis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11294 hæc erit ad pondus Globi ut 0,000659V<SUP>2</SUP> ad 121 digitos. Erat au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11295 tem hæc pars re$i$tentiæ in experimento primo ad pondus Globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11296 lignei unciarum (57 7/22), ut 0,002217V<SUP>2</SUP> ad 121: & inde fit re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11297 Globi lignei ad re$i$tentiam Globi plumbei (paribus eorum velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11298 tibus) ut (57 7/22) in 0,002217 ad 26 1/4 in 0,000659, id e$t, ut 7 1/3 ad 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11299 Diametri Globorum duorum erant 6 7/8 & 2 digitorum, & harum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11300 quadrata $unt ad invicem ut 47 1/4 & 4, $eu (11 11/16) & 1 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11301 Ergo re$i$tentiæ Globorum æquivelocium erant in minore ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11302 quam duplicata diametrorum. At nondum con$ideravimus re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11303 <pb n=288>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11304 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11305 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11306 $tentiam fili, quæ certe permagna erat, ac de pendulorum inventa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11307 re$i$tentia $ubduci debet. Hanc accurate definire non potui, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11308 majorem tamen inveni quam partem tertiam re$i$tentiæ totius mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11309 noris penduli; & inde didici quod re$i$tentiæ Globorum, dempta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11310 fili re$i$tentia, $unt quam proxime in duplicata ratione diametro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11311 rum. Nam ratio 7 1/3-1/3 ad 1-1/3, $eu 10 1/2 ad 1, non longe abe$t a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11312 diametrorum ratione duplicata (11 11/16) ad 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11313 <p>Cum re$i$tentia fili in Globis majoribus minoris $it momenti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11314 tentavi etiam experimentum in Globo cujus diameter erat 18 1/4 di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11315 gitorum. Longitudo penduli inter punctum $u$pen$ionis & cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11316 trum o$cillationis erat digitorum 122 1/2, inter punctum $u$pen$ionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11317 & nodum in filo 109 1/2 dig. Arcus primo penduli de$cen$u a no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11318 do de$criptus, 32 dig. Arcus a$cen$u ultimo po$t o$cillationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11319 quinque ab eodem nodo de$criptus, 28 dig. Summa arcuum $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11320 arcus totus o$cillatione mediocri de$criptus, 60 dig. Differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11321 arcuum 4 dig. Ejus pars decima $eu differentia inter de$cen$um &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11322 a$cen$um in o$cillatione mediocri 2/5 dig. Ut radius 109 1/2 ad radi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11323 um 122 1/2, ita arcus totus 60 dig. o$cillatione mediocri a nodo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11324 $criptus, ad arcum totum 67 1/8 dig. o$cillatione mediocri a centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11325 Globi de$criptum: & ita differentia 2/5 ad differentiam novam 0,4475.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11326 Si longitudo penduli, manente longitudine arcus de$cripti, augere-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11327 tur in ratione 126 ad 122 1/2; tempus o$cillationis augeretur & velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11328 citas penduli diminueretur in ratione illa $ubduplicata, maneret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11329 vero arcuum de$cen$u & $ub$equente a$cen$u de$criptorum diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11330 rentia 0,4475. Deinde $i arcus de$criptus augeretur in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11331 (124 1/31) ad 67 1/8, differentia i$ta 0,4475 augeretur in duplicata illa ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11332 tione, adeoque evaderet 1,5295. Hæc ita $e haberent, ex hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11333 pothe$i quod re$i$tentia Penduli e$$et in duplicata ratione velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11334 citatis. Ergo $i pendulum de$criberet arcum totum (124 1/31) di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11335 gitorum, & longitudo ejus inter punctum $u$pen$ionis & cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11336 trum o$cillationis e$$et 126 digitorum, differentia arcuum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11337 $cen$u & $ub$equente a$cen$u de$criptorum foret 1,5295 digito-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11338 rum. Et hæc differentia ducta in pondus Globi penduli, quod erat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11339 unciarum 208, producit 318,136. Rur$us ubi pendulum $uperius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11340 ex Globo ligneo con$tructum, centro o$cillationis, quod a puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11341 $u$pen$ionis digitos 126 di$tabat, de$cribebat arcum totum (124 1/31)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11342 digitorum, differentia arcuum de$cen$u & a$cen$u de$criptum fuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11343 (126/121) in (8/9 2/3), quæ ducta in pondus Globi, quod erat unciarum (57 1/22),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11344 producit 49,396. Duxi autem differentias ha$ce in pondera Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11345 borum ut invenirem eorum re$i$tentias. Nam differentiæ ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11346 <pb n=289>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11347 untur ex re$i$tentiis, $untque ut re$i$tentiæ directe & pondera in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11348 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11349 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11350 ver$e. Sunt igitur re$i$tentiæ ut numeri 318,136 & 49,396. Pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11351 autem re$i$tentiæ Globi minoris, quæ e$t in duplicata ratione velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11352 citatis, erat ad re$i$tentiam totam, ut 0,56752 ad 0,61675, id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11353 45,453 ad 49,396; & pars re$i$tentiæ Globi majoris propemodum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11354 æquatur ip$ius re$i$tentiæ toti; adeoque partes illæ $unt ut 318,136
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11355 & 45,453 quamproxime, id e$t, ut 7 & 1. Sunt autem Globorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11356 diametri 18 1/4 & 6 7/8; & harum quadrata (351 9/16) & (47 17/64) $unt ut 7,438
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11357 & 1, id e$t, ut Globorum re$i$tentiæ 7 & 1 quamproxime. Diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11358 rentia rationum haud major e$t quam quæ ex fili re$i$tentia oriri po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11359 tuit. Igitur re$i$tentiarum partes illæ quæ $unt, paribus Globis, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11360 quadrata velocitatum; $unt etiam, paribus velocitatibus, ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11361 drata diametrorum Globorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11362 <p>Cæterum Globorum, quibus u$us $um in his experimentis, max-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11363 imus non erat perfecte Sphæricus, & propterea in calculo hic allato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11364 minutias qua$dam brevitatis gratia neglexi; de calculo accurato in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11365 experimento non $atis accurato minime $ollicitus. Optarim itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11366 (cum demon$tratio Vacui ex his dependeat) ut experimenta cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11367 Globis & pluribus & majoribus & magis accuratis tentarentur. Si
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11368 Globi $umantur in proportione Geometrica, puta quorum diametri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11369 $int digitorum 4, 8, 16, 32; ex progre$$ione experimentorum col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11370 ligetur quid in Globis adhuc majoribus evenire debeat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11371 <p>Jam vero conferendo re$i$tentias diver$orum Fluidorum inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11372 tentavi $equentia. Arcam ligneam paravi longitudine pedum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11373 tuor, latitudine & altitudine pedis unius. Hanc operculo nuda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11374 tam implevi aqua fontana, fecique ut immer$a pendula in medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11375 aquæ o$cillando moverentur. Globus autem plumbeus pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11376 166 1/6 unciarum, diametro 3 5/8 digitorum, movebatur ut in Tabula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11377 $equente de$crip$imus, exi$tente videlicet longitudine penduli a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11378 puncto $u$pen$ionis ad punctum quoddam in filo notatum 126 di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11379 gitorum, ad o$cillationis autem centrum 134 1/8 digitorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11380 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11381 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11382 <TD><I>Arcus de$cen$u primo a puncto in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11383 filo notato de$criptus, digitorum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11384 <TD ALIGN="RIGHT">64</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11385 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11386 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11387 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11388 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11389 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11390 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11391 <TD ALIGN="RIGHT"><*></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11392 <TD ALIGN="RIGHT">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11393 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11394 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11395 <TD><I>Arcus a$cen$u ultimo de$criptus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11396 digitorum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11397 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11398 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11399 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11400 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11401 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11402 <TD ALIGN="RIGHT">1 1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11403 <TD ALIGN="RIGHT">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11404 <TD ALIGN="RIGHT">1/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11405 <TD ALIGN="RIGHT">(1/16)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11406 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11407 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11408 <TD><I>Arcuum differentia motui ami$$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11409 proportionalis, digitorum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11410 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11411 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11412 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11413 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11414 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11415 <TD ALIGN="RIGHT">1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11416 <TD ALIGN="RIGHT">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11417 <TD ALIGN="RIGHT">1/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11418 <TD ALIGN="RIGHT">(1/16)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11419 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11420 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11421 <TD><I>Numerus O$cillationum in aqua</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11422 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11423 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11424 <TD ALIGN="RIGHT">(29/60)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11425 <TD ALIGN="RIGHT">1 1/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11426 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11427 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11428 <TD ALIGN="RIGHT">11 1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11429 <TD ALIGN="RIGHT">12 <*>/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11430 <TD ALIGN="RIGHT">13 1/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11431 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11432 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11433 <TD><I>Numerus O$cillationum in aere</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11434 <TD ALIGN="RIGHT">85 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11435 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11436 <TD ALIGN="RIGHT">287</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11437 <TD ALIGN="RIGHT">535</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11438 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11439 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11440 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11441 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11442 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11443 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11444 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11445 <pb n=290>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11446 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11447 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11448 <p>In experimento columnæ quartæ, motus æquales o$cillationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11449 535 in aere, & 1 1/5 in aqua ami$$i $unt. Erant quidem o$cillationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11450 in aere paulo celeriores quam in aqua. At $i o$cillationes in aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11451 in ea ratione accelerarentur ut motus pendulorum in Medio utro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11452 que fierent æquiveloces, maneret numerus idem o$cillationum 1 1/5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11453 in aqua, quibus motus idem ac prius amitteretur; ob re$i$tentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11454 auctam & $imul quadratum temporis diminutum in eadem ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11455 illa duplicata. Paribus igitur pendulorum velocitatibus motus æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11456 quales in aere o$cillationibus 535 & in aqua o$cillationibus 1 1/5 ami$$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11457 $unt; ideoque re$i$tentia penduli in aqua e$t ad ejus re$i$tentiam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11458 aere ut 535 ad 1 1/5. Hæc e$t proportio re$i$tentiarum totarum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11459 ca$u columnæ quartæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11460 <p>De$ignet jam AV+CV differentiam arcuum in de$cen$u & $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11461 $equente a$cen$u de$criptorum a Globo, in Aere cum velocitate maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11462 ma V moto; & cum velocitas maxima, in ca$u columnæ quartæ, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11463 ad velocitatem maximam in ca$u columnæ primæ, ut 1 ad 8; & diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11464 rentia illa arcuum, in ca$u columnæ quartæ, ad differentiam in ca$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11465 columnæ primæ ut (2/535) ad (16/85 1/2), $eu ut 85 1/2 ad 4280: $eribamus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11466 his ca$ibus 1 & 8 pro velocitatibus, atque 85 1/2 & 4280 pro dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11467 ferentiis arcuum, & fiet A+C=85 1/2 & 8A+64C=4280 $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11468 A+8C=535; indeque per reductionem æquationum proveniet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11469 7C=449 1/2 & C=(64 1/14) & A=21 1/7: atque adeo re$i$tentia, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11470 $it ut (7/11) AV+1/4 CV<SUP>2</SUP>, erit ut (13 6/11)V+(48 1/56)V<SUP>2</SUP>. Quare in ca$u co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11471 lumnæ quartæ, ubi velocitas erat 1, re$i$tentia tota e$t ad partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11472 $uam quadrato velocitatis proportionalem, ut (13 6/11)+(48 <*>/56) $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11473 (61 12/17) ad (48 9/56); & idcirco re$i$tentia penduli in aqua e$t ad re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11474 tiæ partem illam in aere quæ quadrato velocitatis proportionalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11475 e$t, quæque $ola in motibus velocioribus con$ideranda venit, ut (61 12/17)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11476 ad (48 9/56) & 535 ad 1 1/5 conjunctim, id e$t, ut 571 ad 1. Si penduli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11477 in aqua o$cillantis filum totum fui$$et immer$um, re$i$tentia ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11478 fui$$et adhuc major; adeo ut penduli in aere o$cillantis re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11479 illa quæ velocitatis quadrato proportionalis e$t, quæque $ola in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11480 corporibus velocioribus con$ideranda venit, $it ad re$i$tentiam e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11481 ju$dem penduli totius, eadem cum velocitate, in aqua o$cillantis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11482 ut 800 vel 900 ad 1 circiter, hoc e$t, ut den$itas aquæ ad den$ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11483 tatem aeris quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11484 <p>In hoc calculo $umi quoque deberet pars illa re$i$tentiæ penduli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11485 in aqua, quæ e$$et ut quadratum velocitatis, $ed (quod mirum for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11486 te videatur) re$i$tentia in aqua augebatur in ratione velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11487 <pb n=291>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11488 plu$quam duplicata. Ejus rei cau$am inve$tigando, in hanc in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11489 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11490 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11491 cidi, quod Arca nimis angu$ta e$$et pro magnitudine Globi pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11492 duli, & motum aquæ cedentis præ angu$tia $ua nimis impedic-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11493 bat. Nam $i Globus pendulus, cujus diameter erat digiti u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11494 nius, immergeretur; re$i$tentia augebatur in duplicata ratione ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11495 locitatis quam proxime. Id tentabam con$truendo pendulum ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11496 Globis duobus, quorum inferior & minor o$cillaretur in aqua, $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11497 perior & major proxime $upra aquam filo affixus e$$et, & in Aere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11498 o$cillando, adjuvaret motum penduli eumque diuturniorem redde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11499 ret. Experimenta autem hoc modo in$tituta $e habebant ut in Ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11500 bula $equente de$cribitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11501 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11502 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11503 <TD><I>Arcus de$cen$u primo de$criptus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11504 <TD ALIGN="CENTER">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11505 <TD ALIGN="CENTER">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11506 <TD ALIGN="CENTER">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11507 <TD ALIGN="CENTER">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11508 <TD ALIGN="CENTER">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11509 <TD ALIGN="CENTER">1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11510 <TD ALIGN="CENTER">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11511 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11512 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11513 <TD><I>Arcus a$cen$u ultimo de$criptus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11514 <TD ALIGN="CENTER">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11515 <TD ALIGN="CENTER">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11516 <TD ALIGN="CENTER">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11517 <TD ALIGN="CENTER">1 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11518 <TD ALIGN="CENTER">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11519 <TD ALIGN="CENTER">1/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11520 <TD ALIGN="CENTER">(1/16)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11521 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11522 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11523 <TD><I>Arcuum diff. motui ami$$o proport.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11524 <TD ALIGN="CENTER">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11525 <TD ALIGN="CENTER">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11526 <TD ALIGN="CENTER">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11527 <TD ALIGN="CENTER">1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11528 <TD ALIGN="CENTER">1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11529 <TD ALIGN="CENTER">1/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11530 <TD ALIGN="CENTER">(1/16)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11531 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11532 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11533 <TD><I>Numerus O$cillationum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11534 <TD ALIGN="CENTER">3 1/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11535 <TD ALIGN="CENTER">6 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11536 <TD ALIGN="CENTER">(12 1/12)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11537 <TD ALIGN="CENTER">21 1/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11538 <TD ALIGN="CENTER">34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11539 <TD ALIGN="CENTER">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11540 <TD ALIGN="CENTER">62 1/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11541 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11542 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11543 <p>Conferendo re$i$tentias Mediorum inter $e, effeci etiam ut pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11544 dula ferrea o$cillarentur in argento vivo. Longitudo fili ferrei erat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11545 pedum qua$i trium, & diameter Globi penduli qua$i tertia pars di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11546 giti. Ad filum autem proxime $upra Mercurium affixus erat Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11547 bus alius plumbeus $atis magnus ad motum penduli diutius conti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11548 nuandum. Tum va$culum, quod capiebat qua$i libras tres argenti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11549 vivi, implebam vicibus alternis argento vivo & aqua communi, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11550 pendulo in Fluido utroque $ucce$$ive o$cillante, invenirem propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11551 tionem re$i$tentiarum: & prodiit re$i$tentia argenti vivi ad re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11552 $tentiam aquæ, ut 13 vel 14 ad 1 circiter: id e$t, ut den$itas argen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11553 ti vivi ad den$itatem aquæ. Ubi Globum pendulum paulo majo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11554 rem adhibebam, puta cujus diameter e$$et qua$i 1/3 vel <*>/3 partes di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11555 giti, prodibat re$i$tentia argenti vivi in ea ratione ad re$i$tentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11556 aquæ quam habet numerus 12 vel 10 ad 1 circiter. Sed experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11557 mento priori magis fidendum e$t, propterea quod in his ultimis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11558 Vas nimis angu$tum fuit pro magnitudine Globi immer$i. Am-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11559 pliato Globo, deberet etiam Vas ampliari. Con$titueram quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11560 huju$modi experimenta in va$is majoribus & in liquoribus tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11561 Metallorum fu$orum, tum aliis quibu$dam tam calidis quam fri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11562 gidis repetere: $ed omnia experiri non vacat, & ex jam de$criptis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11563 $atis liquet re$i$tentiam corporum celeriter motorum den$itati Flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11564 idorum in quibus moventur proportionalem e$$e quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11565 Non dico accurate. Nam Fluida tenaciora, pari den$itate, procul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11566 <pb n=292>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11567 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11568 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11569 dubio magis re$i$tunt quam liquidiora, ut Oleum frigidum quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11570 calidum, calidum quam aqua pluvialis, aqua quam Spiritus Vini.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11571 Verum in liquoribus qui ad $en$um $atis fluidi $unt, ut in Aere, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11572 Aqua $eu dulci $eu $al$a, in Spiritibus Vini, Terebinthi & Salium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11573 in Oleo a fæcibus per de$tillationem liberato & calefacto, Oleoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11574 Vitrioli & Mercurio, ac Metallis liquefactis, & $iqui $int alii, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11575 tam fluidi $unt ut in va$is agitati motum impre$$um diutius con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11576 $ervent, effu$ique liberrime in guttas decurrendo re$olvantur, nul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11577 lus dubito quin regula allata $atis accurate obtineat: præ$ertim $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11578 experimenta in corporibus pendulis & majoribus & velocius motis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11579 in$tituantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11580 <p>Denique cum recepti$$ima Philo$ophorum ætatis hujus opinio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11581 $it, Medium quoddam æthereum & longe $ubtili$$imum extare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11582 quod omnes omnium corporum poros & meatus liberrime per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11583 meet; a tali autem Medio per corporum poros fluente re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11584 oriri debeat: ut tentarem an re$i$tentia, quam in motis corporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11585 experimur, tota $it in eorum externa $uperficie, an vero partes eti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11586 am internæ in $uperficiebus propriis re$i$tentiam notabilem $enti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11587 ant, excogitavi experimentum tale. Filo pedum undecim longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11588 dinis, ab unco chalyoeo $atis firmo, mediante annulo chalybeo, $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11589 $pendebam pyxidem abiegnam rotundam, ad con$tituendum pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11590 dulum longitudinis prædictæ. Uncus $ur$um præacutus erat acie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11591 concava, ut annulus arcu $uo $uperiore aciei innixus liberrime mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11592 veretur. Arcui autem inferiori annectebatur filum. Pendulum ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11593 con$titutum deducebam a perpendiculo ad di$tantiam qua$i pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11594 $ex, idque $ecundum planum aciei unci perpendiculare, ne annu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11595 lus, o$cillante pendulo, $upra aciem unci ultro citroque laberetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11596 Nam punctum $u$pen$ionis, in quo annulus uncum tangit, immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11597 tum manere debet. Locum igitur accurate notabam, ad quem de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11598 duxeram pendulum, dein pendulo demi$$o notabam alia tria loca ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11599 quæ redibat in fine o$cillationis primæ, $ecundæ ac tertiæ. Hoc re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11600 petebam $æpius, ut loca illa quam potui accurati$$ime invenirem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11601 Tum pyxidem plumbo & gravioribus, quæ ad manus erant, me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11602 tallis implebam. Sed prius ponderabam pyxidem vacuam, una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11603 cum parte fili quæ circum pyxidem volvebatur ac dimidio par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11604 tis reliquæ inter uncum & pyxidem pendulam tendebatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11605 (Nam filum ten$um dimidio ponderis $ui pendulum a perpendiculo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11606 digre$$um $emper urget.) Huic ponderi addebam pondus Aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11607 quem pyxis capiebat. Et pondus totum erat qua$i pars $eptuage-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11608 $ima octava pyxidis metallorum plenæ. Tum quoniam pyxis me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11609 <pb n=293>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11610 tallorum plena, pondere $uo tendendo filum, augebat longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11611 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11612 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11613 nem penduli, contrahebam filum ut penduli jam o$cillantis eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11614 e$$et longitudo ac prius. Dein pendulo ad locum primo notatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11615 retracto ac dimi$$o, numerabam o$cillationes qua$i $eptuaginta &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11616 $eptem, donec pyxis ad locum $ecundo notatum rediret, totidem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11617 que $ubinde donec pyxis ad locum tertio notatum rediret, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11618 rur$us totidem donec pyxis reditu $uo attingeret locum quartum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11619 Unde concludo quod re$i$tentia tota pyxidis plenæ non majorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11620 habebat proportionem ad re$i$tentiam pyxidis vacuæ quam 78 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11621 77. Nam $i æquales e$$ent ambarum re$i$tentiæ, pyxis plena ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11622 vim $uam in$itam $eptuagies & octies majorem vi in$ita pyxidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11623 vacuæ, motum $uum o$cillatorium tanto diutius con$ervare debe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11624 ret, atque adeo completis $emper o$cillationibus 78 ad loca illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11625 notata redire. Rediit autem ad eadem completis o$cillationibus 77.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11626 <p>De$ignet igitur A re$i$tentiam pyxidis in ip$ius $uperficie exter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11627 na, & B re$i$tentiam pyxidis vacuæ in partibus internis; & $i re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11628 $tentiæ corporum æquivelocium in partibus internis $int ut mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11629 ria, $eu numerus particularum quibus re$i$titur: erit 78 B re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11630 tia pyxidis plenæ in ip$ius partibus internis: adeoque pyxidis va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11631 cuæ re$i$tentia tota A+B erit ad pyxidis plenæ re$i$tentiam to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11632 tam A+78 B ut 77 ad 78, & divi$im A+B ad 77 B, ut 77 ad 1,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11633 indeque A+B ad B ut 77X77 ad 1, & divi$im A ad B ut 5928
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11634 ad 1. E$t igitur re$i$tentia pyxidis vacuæ in partibus internis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11635 quinquies millies minor quam eju$dem re$i$tentia in externa $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11636 ficie, & amplius. Sic vero di$putamus ex Hypothe$i quod ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11637 jor illa re$i$tentia pyxidis plenæ, non ab alia aliqua cau$a latente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11638 oriatur, $ed ab actione $ola Fluidi alicujus $ubtilis in metallum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11639 inclu$um.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11640 <p>Hoc experimentum recitavi memoriter. Nam charta, in qua il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11641 lud aliquando de$crip$eram, intercidit. Unde fractas qua$dam nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11642 merorum partes, quæ memoria exciderunt, omittere compul$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11643 $um. Nam omnia denuo tentare non vacat. Prima vice, cum un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11644 co infirmo u$us e$$em, pyxis plena citius retardabatur. Cau$am
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11645 quærendo, reperi quod uncus infirmus cedebat ponderi pyxidis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11646 ejus o$cillationibus ob$equendo in partes omnes flectebatur. Para-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11647 bam igitur uncum firmum, ut punctum $u$pen$ionis immotum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11648 neret, & tunc omnia ita evenerunt uti $upra de$crip$imus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11649 <pb n=294>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11650 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11651 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11652 <C>SECTIO VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11653 <C><I>De Motu Fluidorum & Re$i$tentia Projectilium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11654 <C>PROPOSITIO XXXII. THEOREMA XXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11655 <p><I>Si Corporum Sy$temata duo $imilia ex æquali particularum numero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11656 con$tent, & partioulæ corre$pondentes $imiles $int & propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11657 tionales, $ingulæ in uno Sy$temate $ingulis in altero, & $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11658 $itæ inter $e, ac datam habeant rationem den$itatis ad invicem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11659 & inter $e temporibus proportionalibus $imiliter moveri inci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11660 piant, (eæ inter $e quæ in uno $unt Sy$temate & eæ inter $e quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11661 $unt in altero) & $i non tangant $e mutuo quæ in eodem $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11662 Sy$temate, ni$i in momentis reflexionum, neque attrahant vel fu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11663 gent $e mutuo, ni$i viribus acceleratricibus quæ $int ut particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11664 larum corre$pondentium diametri inver$e & quadrata velocita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11665 tum directe: dico quod Sy$tematum particulæ illæ pergent inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11666 $e temporibus proportionalibus $imiliter moveri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11667 <p>Corpora $imilia & $imiliter $ita temporibus proportionalibus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11668 ter $e $imiliter moveri dico, quorum $itus ad invicem in fine tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11669 porum illorum $emper $unt $imiles: puta $i particulæ unius Sy$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11670 matis cum alterius particulis corre$pondentibus conferantur. Un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11671 de tempora erunt proportionalia, in quibus $imiles & proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11672 les Figurarum $imilium partes a particulis corre$pondentibus de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11673 $cribuntur. Igitur $i duo $int eju$modi Sy$temata, particulæ cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11674 re$pondentes, ob $imilitudinem incæptorum motuum, pergent $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11675 militer moveri u$que donec $ibi mutuo occurrant. Nam $i nullis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11676 agitantur viribus, progredientur uniformiter in lineis rectis per mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11677 tus Leg. 1. Si viribus aliquibus $e mutuo agitant, & vires illæ $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11678 ut particularum corre$pondentium diametri inver$e & quadrata ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11679 locitatum directe; quoniam particularum $itus $unt $imiles & vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11680 proportionales, vires totæ quibus particulæ corre$pondentes agi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11681 tantur, ex viribus $ingulis agitantibus (per Legum Corollarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11682 <pb n=295>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11683 fecundum) compo$itæ, $imiles habebunt determinationes, perin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11684 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11685 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11686 de ac $i centra inter particulas $imiliter $ita re$picerent; & erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11687 vires illæ totæ ad invicem ut vires $ingulæ componentes, hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11688 ut corre$pondentium particularum diametri inver$e, & quadrata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11689 velocitatum directe: & propterea efficient ut corre$pondentes par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11690 ticulæ figuras $imiles de$eribere pergant. Hæc ita $e habebunt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11691 Corol. 1, & 8 Prop. IV, Lib. 1. $i modo centra illa quie$cant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11692 Sin moveantur, quoniam ob tran$lationum $imilitudinem, $imiles
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11693 manent eorum $itus inter Sy$tematum particulas; $imiles indu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11694 centur mutationes in figuris quas particulæ de$cribunt. Similes igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11695 tur erunt corre$pondentium & $imilium particularum motus u$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11696 que ad occur$us $uos primos, & propterea $imiles occur$us, & $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11697 miles reflexiones, & $ubinde (per jam o$ten$a) $imiles motus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11698 ter $e donec iterum in $e mutuo inciderint, & $ic deinceps in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11699 finitum. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11700 <p><I>Corol.</I> 1. Hinc $i corpora duo quævis, quæ $imilia $int & ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11701 Sy$tematum particulas corre$pondentes $imiliter $ita, inter ip$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11702 temporibus proportionalibus $imiliter moveri incipiant, $intque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11703 eorum magnitudines ac den$itates ad invicem ut magnitudines ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11704 den$itates corre$pondentium particularum: hæc pergent tempori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11705 bus proportionalibus $imiliter moveri. E$t enim eadem ratio par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11706 tium majorum Sy$tematis utriu$que atque particularum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11707 <p><I>Corol.</I> 2. Et $i $imiles & $imiliter po$itæ Sy$tematum partes om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11708 nes quie$cant inter $e: & earum duæ, quæ cæteris majores $int, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11709 $ibi mutuo in utroque Sy$temate corre$pondeant, $ecundum lineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11710 $imiliter $itas $imili cum motu utcunque moveri incipiant: hæ $i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11711 miles in reliquis Sy$tematum partibus excitabunt motus, & pergent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11712 inter ip$as temporibus proportionalibus $imiliter moveri; atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11713 adeo $patia diametris $uis proportionalia de$cribere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11714 <C>PROPOSITIO XXXIII. THEOREMA XXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11715 <p><I>Ii$dem po$itis, dico quod Sy$tematum partes majores re$i$tituntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11716 in ratione compo$ita ex duplicata ratione velocitatum $uarum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11717 duplicata ratione diametrorum & ratione den$itatis partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11718 Sy$tematum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11719 <p>Nam re$i$tentia oritur partim ex viribus centripetis vel centri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11720 fugis quibus particulæ Sy$tematum $e mutuo agitant, partim ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11721 occur$ibus & reflexionibus particularum & partium majorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11722 <pb n=296>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11723 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11724 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11725 Prioris autem generis re$i$tentiæ $unt ad invicem ut vires totæ mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11726 trices a quibus oriuntur, id e$t, ut vires totæ acceleratrices & quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11727 titates materiæ in partibus corre$pondentibus; hoc e$t (per Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11728 pothe$in) ut quadrata velocitatum directe & di$tantiæ particula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11729 rum corre$pondentium inver$e & quantitates materiæ in partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11730 corre$pondentibus directe: ideoque (cum di$tantiæ particularum Sy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11731 $tematis unius $int ad di$tantias corre$pondentes particularum alte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11732 rius, ut diameter particulæ vel partis in Sy$temate priore ad dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11733 metrum particulæ vel partis corre$pondentis in altero, & quantita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11734 tes materiæ $int ut den$itates partium & cubi diametrorum) re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11735 $tentiæ $unt ad invicem ut quadrata velocitatum & quadrata dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11736 metrorum & den$itates partium Sy$tematum. <I>Q.E.D.</I> Po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11737 rioris generis re$i$tentiæ $unt ut reflexionum corre$pondentium nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11738 meri & vires conjunctim. Numeri autem reflexionum $unt ad in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11739 vicem ut velocitates partium corre$pondentium directe, & $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11740 inter earum reflexiones inver$e. Et vires reflexionum $unt ut ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11741 locitates & magnitudines & den$itates partium corre$pondentium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11742 conjunctim; id e$t, ut velocitates & diametrorum cubi & den$ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11743 tes partium. Et conjunctis his omnibus rationibus, re$i$tentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11744 partium corre$pondentium $unt ad invicem ut quadrata veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11745 tum & quadrata diametrorum & den$itates partium conjunctim.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11746 <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11747 <p><I>Corol.</I> 1. Igitur $i Sy$temata illa $int Fluida duo Ela$tica ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11748 modum Aeris, & partes eorum quie$cant inter $e: corpora autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11749 duo $imilia & partibus fluidorum quoad magnitudinem & den$ita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11750 tem proportionalia, & inter partes illas $imiliter po$ita, $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11751 lineas $imiliter po$itas utcunque projiciantur; vires autem acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11752 leratrices, quibus particulæ Fluidorum $e mutuo agitant, $int ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11753 corporum projectorum diametri inver$e, & quadrata velocitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11754 directe: corpora illa temporibus proportionalibus $imiles excita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11755 bunt motus in Fluidis, & $patia $imilia ac diametris $uis propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11756 tionalia de$cribent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11757 <p><I>Corol.</I> 2. Proinde in eodem Fluido projectile velox re$i$tentiam pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11758 titur quæ e$t in duplicata ratione velocitatis quam proxime. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11759 $i vires, quibus particulæ di$tantes $e mutuo agitant, augerentur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11760 duplicata ratione velocitatis, re$i$tentia foret in eadem ratione du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11761 plicata accurate; ideoque in Medio, cujus partes ab invicem di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11762 tes $e$e viribus nullis agitant, re$i$tentia e$t in duplicata ratione ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11763 locitatis accurate. Sunto igitur Media tria <I>A, B, C</I> ex partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11764 $imilibus & æqualibus & $ecundum di$tantias æquales regulariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11765 <pb n=297>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11766 di$po$itis con$tantia. Partes Mediorum <I>A</I> & <I>B</I> fugiant $e mutuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11767 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11768 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11769 viribus quæ $int ad invicem ut <I>T</I> & <I>V,</I> illæ Medii <I>C</I> eju$mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11770 di viribus omnino de$tituantur. Et $i corpora quatuor æqualia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11771 <I>D, E, F, G</I> in his Mediis moveantur, priora duo <I>D</I> & <I>E</I> in pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11772 oribus duobus <I>A</I> & <I>B,</I> & altera duo <I>F</I> & <I>G</I> in tertio <I>G</I>; $itque ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11773 locitas corporis <I>D</I> ad velocitatem corporis <I>E,</I> & velocitas corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11774 ris <I>F</I> ad velocitatem corporis <I>G,</I> in $ubduplicata ratione virium <I>T</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11775 ad vires <I>V</I>: re$i$tentia corporis <I>D</I> erit ad re$i$tentiam corporis <I>E,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11776 & re$i$tentia corporis <I>F</I> ad re$i$tentiam corporis <I>G,</I> in velocitatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11777 ratione duplicata; & propterea re$i$tentia corporis <I>D</I> erit ad re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11778 $tentiam corporis <I>F</I> ut re$i$tentia corporis <I>E</I> ad re$i$tentiam corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11779 ris <I>G.</I> Sunto corpora <I>D</I> & <I>F</I> æquivelocia ut & corpora <I>E</I> & <I>G</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11780 & augendo velocitates corporum <I>D</I> & <I>F</I> in ratione quacunque, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11781 diminuendo vires particularum Medii <I>B</I> in eadem ratione duplicata,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11782 accedet Medium <I>B</I> ad formam & conditionem Medii <I>C</I> pro lubi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11783 tu, & idcirco re$i$tentiæ corporum æqualium & æquivelocium <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11784 & <I>G</I> in his Mediis, perpetuo accedent ad æqualitatem, ita ut ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11785 rum differentia evadat tandem minor quam data quævis. Proinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11786 cum re$i$tentiæ corporum <I>D</I> & <I>F</I> $int ad invicem ut re$i$tentiæ cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11787 porum <I>E</I> & <I>G,</I> accedent etiam hæ $imiliter ad rationem æqualita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11788 tis. Corporum igitur <I>D</I> & <I>F,</I> ubi veloci$$ime moventur, re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11789 tiæ $unt æquales quam proxime: & propterea cum re$i$tentia cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11790 poris <I>F</I> $it in duplicata ratione velocitatis, erit re$i$tentia corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11791 <I>D</I> in eadem ratione quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11792 <p><I>Corol.</I> 3. Igitur corporis in Fluido quovis Ela$tico veloci$$ime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11793 moti eadem fere e$t re$i$tentia ac $i partes Fluidi viribus $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11794 centrifugis de$tituerentur, $eque mutuo non fugerent: $i modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11795 Fluidi vis Ela$tica ex particularum viribus centrifugis oriatur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11796 velocitas adeo magna $it ut vires non habeant $atis temporis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11797 agendum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11798 <p><I>Corol.</I> 4. Proinde cum re$i$tentiæ $imilium & æquivelocium cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11799 porum, in Medio cujus partes di$tantes $e mutuo non fugiunt, $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11800 ut quadrata diametrorum; $unt etiam æquivelocium & celerrime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11801 motorum corporum re$i$tentiæ in Fluido Ela$tico ut quadrata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11802 diametrorum quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11803 <p><I>Corol.</I> 5. Et cum corpora $imilia, æqualia & æquivelocia, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11804 Mediis eju$dem den$itatis, quorum particulæ $e mutuo non fu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11805 giunt, $ive particulæ illæ $int plures & minores, $ive pauciores &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11806 majores, in æqualem materiæ quantitatem temporibus æqualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11807 inpingant, eique æqualem motus quantitatem imprimant, & vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11808 <pb n=298>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11809 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11810 CORPORUM.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11811 ci$$im (per motus Legem tertiam) æqualem ab eadem reactionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11812 patiantur, hoc e$t, æqualiter re$i$tantur: manife$tum e$t etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11813 quod in eju$dem den$itatis Fluidis Ela$ticis, ubi veloci$$ime mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11814 ventur, æquales $int eorum re$i$tentiæ quam proxime; $ive Fluida
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11815 illa ex particulis cra$$ioribus con$tent, $ive ex omnium $ubtili$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11816 mis con$tituantur. Ex Medii $ubtilitate re$i$tentia projectilium ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11817 lerrime motorum non multum diminuitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11818 <p><I>Corol.</I> 6. Hæc omnia ita $e habent in Fluidis, quorum vis Ela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11819 $tica ex particularum viribus centrifugis originem ducit. Quod $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11820 vis illa aliunde oriatur, veluti ex particularum expan$ione ad in$tar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11821 Lanæ vel ramorum Arborum, aut ex alia quavis cau$a, qua motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11822 particularum inter $e redduntur minus liberi: re$i$tentia, ob mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11823 norem Medii fluiditatem, erit major quam in $uperioribus Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11824 rollariis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11825 <C>PROPOSITIO XXXIV. THEOREMA XXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11826 <p><I>Si Globus & Cylindrus æqualibus diametris de$cripti, in Medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11827 raro ex particulis æqualibus & ad æquales ab invicem di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11828 tias libere di$po$itis con$tante, $ecundum plagam axis Cylindri,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11829 æquali cum velocitate moveantur: erit re$i$tentia Globi duplo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11830 minor quam re$i$tentia Cylindri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11831 <p>Nam quoniam actio Medii in corpus eadem e$t (per Legum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11832 Corol, 5.) $ive corpus in Medio quie$cente moveatur, $ive Medii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11833 particulæ eadem cum velocitate impingant in corpus quie$cens:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11834 con$ideremus corpus tanquam quie$cens, & videamus quo impetu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11835 urgebitur a Medio movente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11836 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11837 De$ignet igitur <I>ABKI</I> cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11838 pus Sphæricum centro <I>C</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11839 midiametro <I>CA</I> de$criptum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11840 & incidant particulæ Medii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11841 data cum velocitate in cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11842 pus illud Sphæricum, $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11843 dum rectas ip$i <I>AC</I> paralle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11844 las: Sitque <I>FB</I> eju$modi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11845 recta. In ea capiatur <I>LB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11846 $emidiametro <I>CB</I> æqualis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11847 & ducatur <I>BD</I> quæ Sphæram tangat in <I>B.</I> In <I>KC</I> & <I>BD</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11848 <pb n=299>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11849 mittantur perpendiculares <I>BE, DL,</I> & vis qua particula Medii,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11850 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11851 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11852 $ecundum rectam <I>FB</I> oblique incidendo, Globum ferit in <I>B,</I> erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11853 ad vim qua particula eadem Cylindrum <I>ONGQ</I> axe <I>ACI</I> circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11854 Globum de$criptum perpendiculariter feriret in <I>b,</I> ut <I>LD</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11855 <I>LB</I> vel <I>BE</I> ad <I>BC.</I> Rur$us efficacia hujus vis ad movendum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11856 Globum $ecundum incidentiæ $uæ plagam <I>FB</I> vel <I>AC,</I> e$t ad eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11857 dem efficaciam ad movendum Globum $ecundnm plagam determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11858 nationis $uæ, id e$t, $ecundum plagam rectæ <I>BC</I> qua Globum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11859 recte urget, ut <I>BE</I> ad <I>BC.</I> Et conjunctis rationibus, efficacia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11860 particulæ, in Globum $ecundum rectam <I>FB</I> oblique incidentis, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11861 movendum eundem $ecundum plagam incidentiæ $uæ, e$t ad effi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11862 caciam particulæ eju$dem $ecundum eandem rectam in Cylindrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11863 perpendiculariter incidentis, ad ip$um movendum in plagam ean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11864 dem, ut <I>BE</I> quadratum ad <I>BC</I> quadratum. Quare $i ad Cylin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11865 dri ba$em circularem <I>NAO</I> erigatur perpendiculum <I>bHE,</I> & $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11866 <I>bE</I> æqualis radio <I>AC,</I> & <I>bH</I> æqualis (<I>BE quad/CB</I>): erit <I>bH</I> ad <I>bE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11867 ut effectus particulæ in Globum ad effectum particulæ in Cylin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11868 drum. Et propterea $olidum quod à rectis omnibus <I>bH</I> occu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11869 patur erit ad $olidum quod à rectis omnibus <I>bE</I> occupatur, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11870 effectus particularum omnium in Globum ad effectum particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11871 larum omnium in Cylindrum. Sed $olidum prius e$t Parabolois
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11872 vertice <I>C,</I> axe <I>CA</I> & latere recto <I>CA</I> de$criptum, & $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11873 po$terius e$t Cylindrus Paraboloidi circum$criptus: & notum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11874 quod Parabolois $it $emi$$is Cylindri circum$cripti. Ergo vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11875 tota Medii in Globum e$t duplo minor quam eju$dem vis tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11876 in Cylindrum. Et propterea $i particulæ Medii quie$cerent, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11877 Cylindrus ac Globus æquali cum velocitate moverentur, foret re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11878 $i$tentia Globi duplo minor quam re$i$tentia Cylindri. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11879 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11880 <p>Eadem methodo Figuræ aliæ inter $e quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11881 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11882 ad re$i$tentiam comparari po$$unt, eæque in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11883 veniri quæ ad motus $uos in Mediis re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11884 tibus continuandos aptiores $unt. Ut $i ba$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11885 circulari <I>CEBH,</I> quæ centro <I>O,</I> radio <I>OC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11886 de$cribitur, & altitudine <I>OD,</I> con$truen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11887 dum $it fru$tum Coni <I>CBGF,</I> quod omni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11888 um eadem ba$i & altitudine con$tructorum & $ecundum plagam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11889 <pb n=300>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11890 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11891 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11892 axis $ui ver$us <I>D</I> progredientium fru$torum minime re$i$tatur: bi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11893 $eca altitudinem <I>OD</I> in <I>Q</I> & produc <I>OQ</I> ad <I>S</I> ut $it <I>QS</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11894 lis <I>QC,</I> & erit <I>S</I> vertex Coni cujus fru$tum quæritur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11895 <p>Unde obiter, cum angulus <I>CSB</I> $emper $it acutus, con$equens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11896 e$t, quod $i $olidum <I>ADBE</I> convolutione $iguræ Ellipticæ vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11897 Ovalis <I>ADBE</I> circa axem <I>AB</I> facta generetur, & tangatur figura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11898 generans à rectis tribus <I>FG, GH, HI</I> in punctis <I>F, B</I> & <I>I,</I> ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11899 lege ut <I>GH</I> $it perpendicularis ad axem in puncto contactus <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11900 & <I>FG, HI</I> cum eadem <I>GH</I> contineant angulos <I>FGB, BHI</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11901 graduum 135: $olidum, quod convolutione figuræ <I>ADFGHIE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11902 circa axem eundem <I>CB</I> generatur, minus re$i$titur quam $olidum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11903 prius; $i modo utrumque $ecundum plagam axis $ui <I>AB</I> progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11904 diatur, & utriu$que terminus <I>B</I> præcedat. Quam quidem propo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11905 tionem in con$truendis Navibus non inutilem futuram e$$e cen$eo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11906 <p>Quod $i Figura <I>DNFG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11907 eju$modi $it curva ut, $i ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11908 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11909 ejus puncto quovis <I>N</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11910 axem <I>AB</I> demittatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11911 pendiculum <I>NM,</I> & à pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11912 cto dato <I>G</I> ducatur recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11913 <I>GR</I> quæ parallela $it rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11914 figuram tangenti in <I>N,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11915 axem productum $ecet in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11916 <I>R,</I> fuerit <I>MN</I> ad <I>GR</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11917 <I>GR cub</I> ad 4 <I>BRXGBq</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11918 Solidum quod figuræ hujus revolutione circa axem <I>AB</I> facta de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11919 $cribitur, in Medio raro prædicto ab <I>A</I> ver$us <I>B</I> movendo, minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11920 re$i$tetur quam aliud quodvis eadem longitudine & latitudine de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11921 $criptum Solidum circulare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11922 <C>PROPOSITIO XXXV. PROBLEMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11923 <p><I>Si Medium rarum ex particulis quam minimis quie$centibus æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11924 libus & ad æquales ab invicem di$tantias libere di$po$itis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11925 $tet: invenire re$i$tentiam Globi in hoc Medio uniformitor pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11926 gredientis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11927 <p><I>Cas.</I> 1. Cylindrus eadem diametro & altitudine de$criptus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11928 gredi intelligatur eadem velocitate $ecundum longitudinem axis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11929 $ui in eodem Medio. Et ponamus quod particulæ Medii in quas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11930 <pb n=301>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11931 Globus vel Cylindrus incidit, vi reflexionis quam maxima re$iliant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11932 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11933 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11934 Et cum re$i$tentia Globi (per Propo$itionem novi$$imam) $it duplo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11935 minor quam re$i$tentia Cylindri, & Globus $it ad Cylindrum ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11936 duo ad tria, & Cylindrus incidendo perpendiculariter in particulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11937 ip$a$que quam maxime reflectendo, duplam $ui ip$ius velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11938 ip$is communicet: Cylindrus quo tempore dimidiam longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11939 axis $ui de$cribit communicabit motum particulis qui $it ad totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11940 Cylindri motum ut den$itas Medii ad den$itatem Cylindri; & Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11941 bus quo tempore totam longitudinem diametri $uæ de$cribit, com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11942 municabit motum eundem particulis; & quo tempore duas tertias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11943 partes diametri $uæ de$cribit communicabit motum particulis qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11944 $it ad totum Globi motum ut den$itas Medii ad den$itatem Globi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11945 Et propterea Globus re$i$tentiam patitur quæ $it ad vim qua totus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11946 ejus motus vel auferri po$$it vel generari quo tempore duas tertias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11947 partes diametri $uæ de$cribit, ut den$itas Medii ad den$itatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11948 Globi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11949 <p><I>Cas.</I> 2. Ponamus quod particulæ Medii in Globum vel Cylin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11950 drum incidentes non reflectantur; & Cylindrus incidendo perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11951 diculariter in particulas $implicem $uam velocitatem ip$is commu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11952 nicabit, ideoque re$i$tentiam patitur duplo minorem quam in pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11953 ore ca$u, & re$i$tentia Globi erit etiam duplo minor quam prius.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11954 <p><I>Cas.</I> 3. Ponamus quod particulæ Medii vi reflexionis neque ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11955 xima neque nulla, $ed mediocri aliqua re$iliant a Globo; & re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11956 $tentia Globi erit in eadem ratione mediocri inter re$i$tentiam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11957 primo ca$u & re$i$tentiam in $ecundo. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11958 <p><I>Corol.</I> 1. Hinc $i Globus & particulæ $int infinite dura, & vi om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11959 ni ela$tica & propterea etiam vi omni reflexionis de$tituta: re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11960 $i$tentia Globi erit ad vim qua totus ejus motus vel auferri po$$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11961 vel generari, quo tempore Globus quatuor tertias partes diametri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11962 $uæ de$cribit, ut den$itas Medii ad den$itatem Globi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11963 <p><I>Corol.</I> 2. Re$i$tentia Globi, cæteris paribus, e$t in duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11964 tione velocitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11965 <p><I>Corol.</I> 3. Re$i$tentia Globi, cæteris paribus, e$t in duplicata ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11966 tione diametri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11967 <p><I>Corol.</I> 4. Re$i$tentia Globi, cæteris paribus, e$t ut den$itas Medii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11968 <p><I>Corol.</I> 5. Re$i$tentia Globi e$t in ratione quæ componitur ex du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11969 plicata ratione velocitatis & duplicata ratione diametri & ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11970 den$itatis Medii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11971 <pb n=302>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11972 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11973 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11974 <p><I>Corol.</I> 6. Et motus Globi cum ejus re$i$tentia $ic exponi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11975 Sit <I>AB</I> tempus quo Globus per re$i$tentiam $uam uniformiter con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11976 tinuatam totum $uum motum amit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11977 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11978 tere pote$t. Ad <I>AB</I> erigantur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11979 pendicula <I>AD, BC.</I> Sitque <I>BC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11980 motus ille totus, & per punctum <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11981 A$ymptotis <I>AD, AB</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11982 Hyperbola <I>CF.</I> Producatur <I>AB</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11983 punctum quodvis <I>E.</I> Erigatur per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11984 pendiculum <I>EF</I> Hyperbolæ occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11985 rens in <I>F.</I> Compleatur parallelo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11986 grammum <I>CBEG,</I> & agatur <I>AF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11987 ip$i <I>BC</I> occurrens in <I>H.</I> Et $i Globus tempore quovis <I>BE,</I> motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11988 $uo primo <I>BC</I> uniformiter continuato, in Medio non re$i$tente de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11989 $cribat $patium <I>CBEG</I> per aream parallelogrammi expo$itum, idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11990 in Medio re$i$tente de$cribet $patium <I>CBEF</I> per aream Hyper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11991 bolæ expo$itum, & motus ejus in fine temporis illius exponetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11992 per Hyperbolæ ordinatam <I>EF,</I> ami$$a motus ejus parte <I>FG.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11993 re$i$tentia ejus in fine temporis eju$dem exponetur per longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11994 nem <I>BH,</I> ami$$a re$i$tentiæ parte <I>CH.</I> Patent hæc omnia per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11995 Corol. 1. Prop. v. Lib. II.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11996 <p><I>Corol.</I> 7. Hinc $i Globus tempore T per re$i$tentiam R unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11997 miter continuatam amittat motum $uum totum M: idem Globus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11998 pore <I>t</I> in Medio re$i$tente, per re$i$tentiam R in duplicata velocitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	11999 ratione decre$centem, amittet motus $ui M partem (<I>t</I>M/T+<I>t</I>), manente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12000 parte (TM/T+<I>t</I>), & de$cribet $patium quod $it ad $patium motu uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12001 formi M eodem tempore <I>t</I> de$criptum, ut Logarithmus numeri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12002 (T+<I>t</I>/T) multiplicatus per numerum 2,302585092994 e$t ad nume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12003 rum <I>t</I>/T. Nam area Hyperbolica <I>BCFE</I> e$t ad rectangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12004 <I>BCGE</I> in hac proportione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12005 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12006 <p>In hac Propo$itione expo$ui re$i$tentiam & retardationem Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12007 jectilium Sphæricorum in Mediis non continuis, & o$tendi quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12008 hæc re$i$tentia $it ad vim qua totus Globi motus vel tolli po$$it vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12009 <pb n=303>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12010 generari quo tempore Globus duas tertias diametri $uæ partes, ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12011 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12012 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12013 locitate uniformiter continuata de$cribat, ut den$itas Medii ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12014 den$itatem Globi, $i modo Globus & particulæ Medii $int $umme
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12015 ela$tica & vi maxima reflectendi polleant: quodque hæc vis $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12016 duplo minor ubi Globus & particulæ Medii $unt infinite dura &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12017 vi reflectendi pror$us de$tituta. In Medus autem continuis qualia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12018 $unt Aqua, Oleum calidum, & Argentum vivum, in quibus Globus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12019 non incidit immediate in omnes fluidi particulas re$i$tentiam gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12020 rantes, $ed premit tantum proximas particulas & hæ premunt alias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12021 & hæ alias, re$i$tentia e$t adhuc duplo minor. Globus utique in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12022 huju$modi Mediis fluidi$$imis re$i$tentiam patitur quæ e$t ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12023 qua totus ejus motus vel tolli po$$it vel generari quo tempore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12024 motu illo uniformiter continuato, partes octo tertias diametri $uæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12025 de$cribat, ut den$itas Medii ad den$itatem Globi. Id quod in $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12026 quentibus conabimur o$tendere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12027 <C>PROPOSITIO XXXVI. PROBLEMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12028 <p><I>Aquæ de va$e Cylindrico per foramen in fundo factum effluentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12029 definire motum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12030 <p>Sit <I>ACDB</I> vas cylindricum, <I>AB</I> ejus orificium $uperius, <I>CD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12031 fundum horizonti parallelum, <I>EF</I> foramen circulare in medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12032 fundi, <I>G</I> centrum foraminis, & <I>GH</I> axis cylindri horizonti per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12033 pendicularis. Et concipe cylindrum gla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12034 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12035 ciei <I>APQB</I> eju$dem e$$e latitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12036 cum cavitate va$is, & axem eundem ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12037 bere, & uniformi cum motu perpetuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12038 de$cendere, & partes ejus quam primum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12039 attingunt $uperficiem <I>AB</I> lique$cere, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12040 in aquam conver$as gravitate $ua defluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12041 in vas, & cataractam vel columnam aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12042 <I>ABNFEM</I> cadendo formare, & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12043 foramen <I>EF</I> tran$ire, idemque adæquate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12044 implere. Ea vero $it uniformis veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12045 tas glaciei de$cendentis ut & aquæ con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12046 tiguæ in circulo <I>AB,</I> quam aqua caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12047 do & ca$u $uo de$cribendo altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12048 <I>IH</I> acquirere pote$t; & jaceant <I>IH</I> & <I>HG</I> in directum, & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12049 punctum <I>I</I> ducatur recta <I>KL</I> horizonti parallela & lateribus gla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12050 <pb n=304>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12051 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12052 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12053 ciei occurrens in <I>K</I> & <I>L.</I> Et velocitas aquæ effluentis per fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12054 men <I>EF</I> ea erit quam aqua cadendo ab <I>I</I> & ca$u $uo de$cribendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12055 altitudinem <I>IG</I> acquirere pote$t. Ideoque per Theoremata <I>Galilæi</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12056 erit <I>IG</I> ad <I>IH</I> in duplicata ratione velocitatis aquæ per foramen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12057 effluentis ad velocitatem aquæ in circulo <I>AB,</I> hoc e$t, in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12058 cata ratione circuli <I>AB</I> ad circulum <I>EF</I>; nam hi circuli $unt re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12059 ciproce ut velocitates aquarum quæ per ip$os, eodem tempore &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12060 æquali quantitate, adæquate tran$eunt. De velocitate aquæ hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12061 zontem ver$us hic agitur. Et motus horizonti parallelus quo par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12062 tes aquæ cadentis ad invicem accedunt, cum non oriatur a gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12063 tate, nec motum horizonti perpendicularem à gravitate oriundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12064 mutet, hic non con$ideratur. Supponimus quidem quod partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12065 aquæ aliquantulum cohærent, & per cohæ$ionem $uam inter ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12066 dendum accedant ad invicem per motus horizonti parallelos, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12067 unicam tantum efforment cataractam & non in plures cataractas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12068 dividantur: $ed motum horizonti parallelum, a cohæ$ione illa ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12069 undum, hic non con$ideramus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12070 <p><I>Cas.</I> 1. Concipe jam cavitatem totam in va$e, in circuitu aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12071 cadentis <I>ABNFEM,</I> glacie plenam e$$e, ut aqua per glaciem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12072 tanquam per infundibulum tran$eat. Et $i aqua glaciem tantum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12073 non tangat vel, quod perinde e$t, $i tangat & per glaciem propter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12074 $ummam ejus polituram quam liberrime & $ine omni re$i$tentia la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12075 batur; hæc defluet per foramen <I>EF</I> eadem velocitate ac prius, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12076 pondus totum columnæ aquæ <I>ABNFEM</I> impendetur in deflu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12077 xum ejus generandum uti prius, & fundum va$is $u$tinebit pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12078 dus glaciei columnam ambientis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12079 <p>Lique$cat jam glacies in va$e; & effluxus aquæ quoad velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12080 tem, idem manebit ac prius. Non minor erit, quia glacies in aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12081 re$oluta conabitur de$cendere: non major, quia glacies in aquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12082 re$oluta non pote$t de$cendere ni$i impediendo de$cen$um aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12083 alterius de$cen$ui $uo æqualem. Eadem vis eandem aquæ effluen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12084 tis velocitatem generare debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12085 <p>Sed foramen in fundo va$is, propter obliquos motus particula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12086 rum aquæ effluentis, paulo majus e$$e debet quam prius. Nam par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12087 ticulæ aquæ jam non tran$eunt omnes per foramen perpendicula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12088 riter; $ed a lateribus va$is undique confluentes & in foramen con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12089 vergentes, obliquis tran$eunt motibus; & cur$um $uum deor$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12090 flectentes in venam aquæ exilientis con$pirant, quæ exilior e$t pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12091 lo infra foramen quam in ip$o foramine, exi$tente ejus diametro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12092 ad diametrum foraminis ut 5 ad 6, vel 5 1/2 ad 6 1/2 quam proxime, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12093 <pb n=305>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12094 modo diametros recte dimen$us $um. Parabam utique laminam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12095 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12096 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12097 planam pertenuem in medio perforatam, exi$tente circularis fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12098 minis diametro partium quinque octavarum digiti. Et ne vena
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12099 aquæ exilientis cadendo acceleraretur & acceleratione redderetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12100 angu$tior, hanc laminam non fundo $ed lateri va$is affixi $ic, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12101 vena illa egrederetur $ecundum lineam horizonti parallelam. Dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12102 ubi vas aquæ plenum e$$et, aperui foramen ut aqua efflueret; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12103 venæ diameter, ad di$tantiam qua$i dimidii digiti â $oramine quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12104 accurati$$ime men$urata, prodiit partium viginti & unius quadrage$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12105 marum digiti. Erat igitur diameter foraminis hujus circularis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12106 diametrum venæ ut 25 ad 21 quamproxime. Per experimenta vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12107 con$tat quod quantitas aquæ quæ per foramen circulare in fundo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12108 va$is factum effluit, ea e$t quæ, pro diametro venæ, cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12109 prædicta effluere debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12110 <p>In $equentibus igitur, plano foraminis parallelum duci intelliga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12111 tur planum aliud $uperius ad di$tantiam diametro foraminis æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12112 lem vel paulo majorem & foramine majore pertu$um, per quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12113 utique vena cadat quæ adæquate impleat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12114 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12115 foramen inferius <I>EF,</I> atque adeo cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12116 diameter $it ad diametrum foraminis in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12117 ferioris ut 25 ad 21 circiter. Sic enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12118 vena per foramen inferius perpendicu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12119 lariter tran$ibit; & quantitas aquæ ef-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12120 fluentis, pro magnitudine foraminis hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12121 jus, ea erit quam $olutio Problematis po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12122 $tulat quamproxime. Spatium vero quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12123 planis duobus & vena cadente clauditur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12124 pro fundo va$is haberi pote$t. Sed ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12125 $olutio Problematis $implicior $it & ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12126 gis Mathematica, præ$tat adhibere pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12127 num $olum inferius pro fundo va$is, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12128 fingere quod aqua quæ per glaciem ceu per infundibulum deflue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12129 bat, & è va$e per foramen <I>EF</I> egrediebatur, motum $uum per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12130 petuo $ervet & glacies quietem $uam etiam$ in aquam fluidam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12131 re$olvatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12132 <p><I>Cas.</I> 2. Si foramen <I>EF</I> non $it in medio fundi va$is, $ed fun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12133 dum alibi perforetur: aqua effluet eadem cum velocitate ac prius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12134 $i modo eadem $it foraminis magnitudo. Nam grave majori qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12135 dem tempore de$cendit ad eandem profunditatem per lineam ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12136 liquam quam per lineam perpendicularem, $ed de$cendendo ean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12137 <pb n=306>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12138 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12139 CORPORUM.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12140 dem velocitatem acquirit in utroque ca$u, ut <I>Galilæus</I> demon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12141 $travit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12142 <p><I>Cas.</I> 3. Eadem e$t aquæ velocitas effluentis per foramen in la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12143 tere va$is. Nam $i foramen parvum $it, ut intervallum inter $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12144 ficies <I>AB</I> & <I>KL</I> quoad $en$um evane$cat, & vena aquæ hori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12145 zontaliter exilientis figuram Parabolicam efformet: ex latere recto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12146 hujus Parabolæ colligetur, quod velocitas aquæ effluentis ea $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12147 quam corpus ab aquæ in va$e $tagnantis altitudine <I>HG</I> vel <I>IG</I> ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12148 dendo acquirere potui$$et. Facto utique experimento inveni quod,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12149 $i altitudo aquæ $tagnantis $upra foramen e$$et viginti digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12150 & altitudo foraminis $upra planum horizonti parallelum e$$et quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12151 que viginti digitorum, vena aquæ pro$ilientis incideret in planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12152 illud ad di$tantiam digitorum 37 circiter à perpendiculo quod in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12153 planum illud à foramine demittebatur captam. Nam $ine re$i$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12154 tia vena incidere debui$$et in planum illud ad di$tantiam digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12155 40, exi$tente venæ Parabolicæ latere recto digitorum 80.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12156 <p><I>Cas.</I> 4. Quinetiam aqua effluens, $i $ur$um feratur, eadem egre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12157 ditur cum velocitate. A$cendit enim aquæ exilientis vena parva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12158 motu perpendiculari ad aquæ in va$e $tagnantis altitudinem <I>GH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12159 vel <I>GI,</I> ni$i quatenus a$cen$us ejus ab aeris re$i$tentia aliquantu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12160 lum impediatur; ac proinde ea effluit cum velocitate quam ab al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12161 titudine illa cadendo acquirere potui$$et.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12162 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12163 Aquæ $tagnantis particula unaquæque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12164 undique premitur æqualiter, per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12165 XIX. Lib. II, & pre$$ioni cedendo æquali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12166 impetu in omnes partes fertur, $ive de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12167 $cendat per foramen in fundo va$is, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12168 horizontaliter effluat per foramen in ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12169 latere, $ive egrediatur in canalem & inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12170 a$cendat per foramen parvum in $uperiore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12171 canalis parte factum. Et velocitatem qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12172 aqua effluit, eam e$$e quam in hac Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12173 po$itione a$$ignavimus, non $olum rati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12174 one colligitus, $ed etiam per experimenta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12175 noti$$ima jam de$cripta manife$tum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12176 <p><I>Cas.</I> 5. Eadem e$t aquæ effluentis velocitas $ive figura foraminis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12177 $it circularis $ive quadrata vel triangularis aut alia quæcunque cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12178 culari æqualis. Nam velocitas aquæ effluentis non pendet à figura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12179 foraminis $ed ab ejus altitudine infra planum <I>KL.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12180 <p><I>Cas.</I> 6. Si va$is <I>ABDC</I> pars inferior in aquam $tagnantem im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12181 <pb n=307>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12182 mergatur, & altitudo aquæ $tagnantis $upra fundum va$is $it <I>GR</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12183 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12184 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12185 velocitas quacum aqua quæ in va$e e$t, effluet per foramen <I>EF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12186 in aquam $tagnantem, ea erit quam aqua cadendo & ca$u $uo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12187 $cribendo altitudinem <I>IR</I> acquirere pote$t. Nam pondus aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12188 omnis in va$e quæ inferior e$t $uperficie aquæ $tagnantis, $u$tine-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12189 bitur in æquilibrio per pondus aquæ $tagnantis, ideoque motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12190 aquæ de$cendentis in va$e minime accelerabit. Patebit etiam &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12191 hic Ca$us per Experimenta, men$urando $cilicet tempora qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12192 bus aqua effluit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12193 <p><I>Corol.</I> 1. Hinc $i aquæ altitudo <I>CA</I> producatur ad <I>K,</I> ut $it <I>AK</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12194 ad <I>CK</I> in duplicata ratione areæ foraminis in quavis fundi parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12195 facti, ad aream circuli <I>AB</I>: velocitas aquæ effluentis æqualis erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12196 velocitati quam aqua cadendo & ca$u $uo de$cribendo altitudinera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12197 <I>KC</I> acquirere pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12198 <p><I>Corol.</I> 2. Et vis qua totus aquæ exilientis motus generari pote$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12199 æqualis e$t ponderi Cylindricæ columnæ aquæ cujus ba$is e$t fora-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12200 men <I>EF,</I> & altitudo 2<I>GI</I> vel 2<I>CK.</I> Nam aqua exiliens quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12201 tempore hanc columnam æquat, pondere $uo ab altitudine <I>GI</I> ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12202 dendo, velocitatem $uam qua exilit, acquirere pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12203 <p><I>Corol.</I> 3. Pondus aquæ totius in va$e <I>ABDC,</I> e$t ad ponderis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12204 partem quæ in defluxum aquæ impenditur, ut $umma circulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12205 <I>AB</I> & <I>EF,</I> ad duplum circulum <I>EF.</I> Sit enim <I>IO</I> media pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12206 portionalis inter <I>IH</I> & <I>IG</I>; & aqua per foramen <I>EF</I> egrediens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12207 quo tempore gutta cadendo ab <I>I</I> de$cribere po$$et altitudinem <I>IG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12208 æqualis erit Cylindro cujus ba$is e$t circulus <I>EF</I> & altitudo e$t 2<I>IG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12209 id e$t, Cylindro cujus ba$is e$t circulus <I>AB</I> & altitudo e$t 2<I>IO,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12210 nam circulus <I>EF</I> e$t ad circulum <I>AB</I> in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12211 altitudinis <I>IH</I> ad altitudinem <I>IG,</I> hoc e$t, in $implici ratione me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12212 diæ proportionalis <I>IO</I> ad altitudinem <I>IG</I>: & quo tempore gutta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12213 cadendo ab <I>I</I> de$cribere pote$t altitudinem <I>IH,</I> aqua egrediens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12214 æqualis erit Cylindro cujus ba$is e$t circulus <I>AB</I> & altitudo e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12215 2<I>IH</I>: & quo tempore gutta cadendo ab <I>I</I> per <I>H</I> ad <I>G</I> de$cribit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12216 altitudinum differentiam <I>HG,</I> aqua egrediens, id e$t, aqua tota in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12217 $olido <I>ABNFEM</I> æqualis erit differentiæ Cylindrorum, id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12218 Cylindro cujus ba$is e$t <I>AB</I> & altitudo 2<I>HO.</I> Et propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12219 aqua tota in va$e <I>ABDC</I> e$t ad aquam totam cadentem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12220 $olido <I>ABNFEM</I> ut <I>HG</I> ad 2<I>HO,</I> id e$t, ut <I>HO+OG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12221 ad 2<I>HO,</I> $eu <I>IH+IO</I> ad 2<I>IH.</I> Sed pondus aquæ totius in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12222 $olido <I>ABNFEM</I> in aquæ defluxum impenditur: ac pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12223 <pb n=308>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12224 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12225 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12226 inde pondus aquæ totius in va$e e$t ad ponderis partem quæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12227 defluxum aquæ impenditur, ut <I>IH+IO</I> ad 2<I>IH,</I> atque adeo ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12228 $umma circulorum <I>EF</I> & <I>AB</I> ad duplum circulum <I>EF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12229 <p><I>Corol.</I> 4. Et hinc pondus aquæ totius in va$e <I>ABDC,</I> e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12230 ponderis partem alteram quam fundum va$is $u$tinet, ut $umma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12231 circulorum <I>AB</I> & <I>EF,</I> ad differentiam eorundem circulorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12232 <p><I>Corol.</I> 5. Et ponderis pars quam fundum va$is $u$tinet, e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12233 ponderis partem alteram quæ in defluxum aquæ impenditur, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12234 differentia circulorum <I>AB</I> & <I>EF,</I> ad duplum circulum minorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12235 <I>EF,</I> $ive ut area fundi ad duplum foramen.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12236 <p><I>Corol.</I> 6. Ponderis autem pars qua $ola fundum urgetur, e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12237 pondus aquæ totius quæ fundo perpendiculariter incumbit, ut cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12238 culus <I>AB</I> ad $ummam circulorum <I>AB</I> & <I>EF,</I> $ive ut circulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12239 <I>AB</I> ad exce$$um dupli circuli <I>AB</I> $upra fundum. Nam ponderis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12240 pars qua $ola fundum urgetur, e$t ad pondus aquæ totius in va$e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12241 ut differentia circulorum <I>AB</I> & <I>EF,</I> ad $ummam eorundem cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12242 culorum, per Cor.4; & pondus aquæ totius in va$e e$t ad pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12243 aquæ totius quæ fundo perpendiculariter incumbit, ut circulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12244 <I>AB</I> ad differentiam circulorum <I>AB</I> & <I>EF.</I> Itaque ex æquo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12245 perturbate, ponderis pars qua $ola fundum urgetur, e$t ad pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12246 aquæ totius quæ fundo perpendiculariter incumbit, ut circulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12247 <I>AB</I> ad $ummam circulorum <I>AB</I> & <I>EF</I> vel exce$$um dupli cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12248 culi <I>AB</I> $upra fundum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12249 <p><I>Corol.</I> 7. Si in medio foraminis <I>EF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12250 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12251 locetur Circellus <I>PQ</I> centro <I>G</I> de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12252 ptus & horizonti parallelus: pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12253 aquæ quam circellus ille $u$tinet, majus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12254 e$t pondere tertiæ partis Cylindri a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12255 quæ cujus ba$is e$t circellus ille & al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12256 titudo e$t <I>GH.</I> Sit enim <I>ABNFEM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12257 cataracta vel columna aquæ cadentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12258 axem habens <I>GH</I> ut $upra, & conge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12259 lari intelligatur aqua omnis in va$e, tam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12260 in circuitu cataractæ quam $upra cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12261 cellum, cujus fluiditas ad prompti$$imum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12262 & celerrimum aquæ de$cen$um non requiritur. Et $it <I>PHQ</I> co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12263 lumna aquæ $upra circellum congelata, verticem habens <I>H</I> & alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12264 tudinem <I>GH.</I> Et quemadmodum aqua in circuitu cataractæ con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12265 gelata <I>AMEC, BNFD</I> convexa e$t in $uperficie interna <I>AME,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12266 BNF</I> ver$us cataractam cadentem, $ic etiam hæc columna <I>PHQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12267 <pb n=309>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12268 convexa erit ver$us cataractam, & propterea major Cono cujus ba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12269 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12270 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12271 $is e$t circellus ille <I>PQ</I> & altitudo <I>GH,</I> id e$t, major tertia parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12272 Cylindri eadem ba$e & altitudine de$cripti. Su$tinet autem cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12273 cellus ille pondus hujus columnæ, id e$t, pondus quod pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12274 Coni $eu tertiæ partis Cylindri illius majus e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12275 <p><I>Corol.</I> 8. Pondus aquæ quam circellus v<*> parvus <I>PQ</I> $u$tinet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12276 minor e$t pondere duarum tertiarum partium Cylindri aquæ cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12277 ba$is e$t circellus ille & altitudo e$t <I>HG.</I> Nam $tantibus jam po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12278 $itis, de$cribi intelligatur dimidium Sphæroidis cujus ba$is e$t cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12279 cellus ille & $emiaxis $ive altitudo e$t <I>HG.</I> Et hæc figura æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12280 erit duabus tertiis partibus Cylindri illius & comprehendet colum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12281 nam aquæ congelatæ <I>PHQ</I> cujus pondus circellus ille $u$tinet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12282 Nam ut motus aquæ $it maxime directus, columnæ illius $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12283 ficies externa concurret cum ba$i <I>PQ</I> in angulo nonnihil acuto,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12284 propterea quod aqua cadendo perpetuo acceleratur & propter ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12285 celerationem fit tenuior; & cum angulus ille $it recto minor, hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12286 columna ad inferiores ejus partes jacebit intra dimidium Sphæroi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12287 dis. Eadem vero $ur$um acuta erit $eu cu$pidata, ne horizontalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12288 motus aquæ ad verticem Sphæroidis $it infinite velocior quam ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12289 motus horizontem ver$us. Et quo minor e$t circellus <I>PQ</I> eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12290 acutior erit vertex columnæ; & circello in infinitum diminuto, an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12291 gulus <I>PHQ</I> in infinitum diminuetur, & propterea columna ja-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12292 cebit intra dimidium Sphæroidis. E$t igitur columna illa minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12293 dimidio Sphæroidis, $eu duabus tertiis partibus Cylindri cujus ba$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12294 e$t circellus ille & altitudo <I>GH.</I> Su$tinet autem circellus vim aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12295 ponderi hujus columnæ æqualem, cum pondus aquæ ambientis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12296 defluxum ejus impendatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12297 <p><I>Corol.</I> 9. Pondus aquæ quam circellus valde parvus <I>PQ</I> $u$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12298 net, æquale $et ponderi Cylindri aquæ cujus ba$is e$t circellus ille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12299 & altitudo e$t 1/2<I>GH</I> quamproxime. Nam pondus hocce e$t me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12300 dium Arithmeticum inter pondera Coni & Hemi$phæroidis præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12301 dictæ. At $i circellus ille non $it valde parvus, $ed augeatur donec
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12302 æquet foramen <I>EF</I>; hic $u$tinebit pondus aquæ totius $ibi per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12303 pendiculariter imminentis, id e$t, pondus Cylindri aquæ cujus ba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12304 $is e$t circellus ille & altitudo e$t <I>GH.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12305 <p><I>Corol.</I> 10. Et (quantum $entio) pondus quod circellus $u$tinet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12306 e$t $emper ad pondus Cylindri aquæ cujus ba$is e$t circellus ille &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12307 altitudo e$t 1/2<I>GH,</I> ut <I>EFq</I> ad <I>EFq</I>-1/2<I>PQq,</I> $ive ut circulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12308 <I>EF</I> ad exce$$um circuli hujus $upra $emi$$em circelli <I>PQ</I> quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12309 proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12310 <pb n=310>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12311 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12312 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12313 <C>LEMMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12314 <p><I>Cylindri, qui $ecundum longitudinem $uam uniformiter progreditur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12315 re$i$tentia ex aucta vel diminuta ejus longitudine non mutatur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12316 ideoque cadem e$t cum re$i$tentia Circuli eadem diametro de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12317 $cripti & eadem velocitate $ecundum lineam rectam plano ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12318 $ius perpendicularem progredientis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12319 <p>Nam latera Cylindri motui ejus minime opponuntur: & Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12320 lindrus, longitudine ejus in infinitum diminuta, in Circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12321 vertitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12322 <C>PROPOSITIO XXXVII. THEOREMA XXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12323 <p><I>Cylindri, qui in fluide compre$$o infinito & non ela$tico $ecundum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12324 longitudinem $uam uniformiter progreditur, re$i$tentia quæ ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12325 tur a magnitudine $ectionis tran$ver$æ, e$t ad vim qua totus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12326 ejus motus interea dum quadruplum longitudinis $uæ de$cribit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12327 vel tolli po$$it vel generari, ut den$itas Medii ad den$itatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12328 Cylindri quamproxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12329 <p>Nam $i vas <I>ABDC</I> fundo $uo <I>CD</I> $uperficiem aquæ $tagnan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12330 tis tangat, & aqua ex hoc va$e per ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12331 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12332 nalem Cylindricum <I>EFTS</I> horizonti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12333 perpendicularem in aquam $tagnantem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12334 effluat, locetur autem Circellus <I>PQ</I> ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12335 rizonti parallelus ubivis in medio ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12336 nalis, & producatur <I>CA</I> ad <I>K,</I> ut $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12337 <I>AK</I> ad <I>CK</I> in duplicata ratione quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12338 habet exce$$us orificii canalis <I>EF</I> $upra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12339 circellum <I>PQ</I> ad circulum <I>AB</I>: mani-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12340 fe$tum e$t (per Ca$.5, Ca$.6, & Cor. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12341 Prop.XXXVI.) quod velocitas aquæ tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12342 $euntis per $patium annulare inter cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12343 cellum & latera va$is, ea erit quam aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12344 cadendo & ca$u $uo de$cribendo altitudinem <I>KC</I> vel <I>IG</I> acquirere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12345 pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12346 <pb n=311>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12347 <p>Et (per Cor. 10, Prop.XXXVI) $i va$is latitudo $it infinita, ut li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12348 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12349 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12350 neola <I>HI</I> evane$cat & altitudines <I>IG, HG</I> æquentur: vis aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12351 defluentis in circellum erit ad pondus Cylindri cujus ba$is e$t cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12352 cellus ille & altitudo e$t 1/2 <I>IG,</I> ut <I>EFq</I> ad <I>EFq</I>-1/2 <I>PQq</I> quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12353 proxime. Nam vis aquæ, uniformi motu defluentis per totum ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12354 nalem, eadem erit in circellum <I>PQ</I> in quacunque canalis parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12355 locatum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12356 <p>Claudantur jam canalis orificia <I>EF, ST,</I> & a$cendat circellus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12357 fluido undique compre$$o & a$cen$u $uo cogat aquam $uperiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12358 de$cendere per $patium annulare inter circellum & latera cana-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12359 lis: & velocitas circelli a$cendentis erit ad velocitatem aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12360 de$cendentis ut differentia circulorum <I>EF</I> & <I>PQ</I> ad circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12361 <I>PQ,</I> & velocitas circelli a$cendentis ad $ummam velocitatum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12362 hoc e$t, ad velocitatem relativam aquæ de$cendentis qua præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12363 terfluit circellum a$cendentem, ut differentia circulorum <I>EF</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12364 <I>PQ</I> ad circulum <I>EF,</I> $ive ut <I>EFq-PQq</I> ad <I>EFq.</I> Sit illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12365 velocitas relativa æqualis velocitati qua $upra o$ten$um e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12366 aquam tran$ire per idem $patium annulare dum circellus interea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12367 immotus manet, id e$t, velocitati quam aqua cadendo & ca$u $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12368 de$cribendo altitudinem <I>IG</I> acquirere pote$t: & vis aquæ in cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12369 cellum a$cendentem eadem erit ac prius, per Legum Cor. 5, id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12370 Re$i$tentia circelli a$cendentis erit ad pondus Cylindri aquæ cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12371 ba$is e$t circellus ille & altitudo e$t 1/2 <I>IG,</I> ut <I>EFq</I> ad <I>EFq</I>-1/2 <I>PQq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12372 quamproxime. Velocitas autem circelli erit ad velocitatem quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12373 aqua cadendo & ca$u $uo de$cribendo altitudinem <I>IG</I> acquirit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12374 ut <I>EFq-PQq</I> ad <I>EFq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12375 <p>Augeatur amplitudo canalis in infinitum: & rationes illæ inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12376 <I>EFq-PQq</I> & <I>EFq,</I> interque <I>EFq</I> & <I>EFq</I>-1/2 <I>PQq</I> acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12377 dent ultimo ad rationes æqualitatis. Et propterea Velocitas cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12378 celli ea nunc erit quam aqua cadendo & ca$u $uo de$cribendo al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12379 titudinem <I>IG</I> acquirere pote$t, Re$i$tentia vero ejus æqualis eva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12380 det ponderi Cylindri cujus ba$is e$t circellus ille & altitudo di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12381 midium e$t altitudinis <I>IG,</I> a qua Cylindrus cadere debet ut velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12382 citatem circelli a$cendentis acquirat; & hac velocitate Cylindrus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12383 tempore cadendi, quadruplum longitudinis $uæ de$cribet. Re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12384 $tentia autem Cylindri, hac velocitate $ecundum longitudinem $uam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12385 progredientis, eadem e$t cum Re$i$tentia circelli per Lemma IV;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12386 ideoque æqualis e$t Vi qua motus ejus, interea dum quadruplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12387 longitudinis $uæ de$cribit, generari pote$t quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12388 <pb n=312>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12389 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12390 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12391 <p>Si longitudo Cylindri augeatur vel minuatur: motus ejus ut &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12392 tempus quo quadruplum longitudinis $uæ de$cribit, augebitur vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12393 minuetur in eadem ratione; adeoque Vis illa qua motus auctus vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12394 diminutus, tempore pariter aucto vel diminuto, generari vel tolli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12395 po$$it, non mutabitur; ac proinde etiamnum æqualis e$t re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12396 $tentiæ Cylindri, nam & hæc quoque immutata manet per Lem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12397 ma IV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12398 <p>Si den$itas Cylindri augeatur vel minuatur: motus ejus ut &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12399 Vis qua motus eodem tempore generari vel tolli pote$t, in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12400 ratione augebitur vel minuetur. Re$i$tentia itaque Cylindri cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12401 ju$cunque erit ad Vim qua totus ejus motus, interea dum quadru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12402 plum longitudinis $uæ de$cribit, vel generari po$$it vel tolli, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12403 den$itas Medii ad den$itatem Cylindri quamproxime. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12404 <p>Fluidum autem comprimi debet ut $it continuum, continuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12405 vero e$$e & non ela$ticum ut pre$$io omnis quæ ab ejus compre$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12406 one oritur propagetur in in$tanti &, in omnes moti corporis partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12407 æqualiter agendo, re$i$tentiam non mutet. Pre$$io utique quæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12408 motu corporis oritur, impenditur in motum partium fluidi gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12409 randum & Re$i$tentiam creat. Pre$$io autem quæ oritur a com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12410 pre$$ione fluidi, utcunque fortis $it, $i propagetur in in$tanti, nul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12411 lum generat motum in partibus fluidi continui, nullam omnino in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12412 ducit motus mutationem; ideoque re$i$tentiam nec auget nec mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12413 nuit. Certe Actio fluidi, quæ ab ejus compre$$ione oritur, fortior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12414 e$$e non pote$t in partes po$ticas corporis moti quam in ejus par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12415 tes anticas, ideoque re$i$tentiam in hac Propo$itione de$criptam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12416 minuere non pote$t: & fortior non erit in partes anticas quam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12417 po$ticas, $i modo propagatio ejus infinite velocior $it quam motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12418 corporis pre$$i. Infinite autem velocior erit & propagabitur in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12419 $tanti, $i modo fluidum $it continuum & non ela$ticum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12420 <p><I>Corol.</I> 1. Cylindrorum, qui $ecundum longitudines $uas in Mediis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12421 continuis infinitis uniformiter progrediuntur, re$i$tentiæ $unt in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12422 tione quæ componitur ex duplicata ratione velocitatum & dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12423 cata ratione diametrorum & ratione den$itatis Mediorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12424 <p><I>Corol.</I> 2. Si amplitudo canalis non augeatur in infinitum, $ed Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12425 lindrus in Medio quie$cente inclu$o $ecundum longitudinem $uam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12426 progrediatur, & interea axis ejus cum axe canalis coincidat: Re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12427 $tentia ejus erit ad vim qua totus ejus motus, quo tempore qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12428 druplum longitudinis $uæ de$cribit, vel generari po$$it vel tolli,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12429 in ratione quæ componitur ex ratione <I>EFq</I> ad <I>EFq</I>-1/2 <I>PQq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12430 <pb n=313>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12431 $emel, & ratione <I>EFq</I> ad <I>EFq-PQq</I> bis, & ratione den$itatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12432 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12433 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12434 Medii ad den$itatem Cylindri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12435 <p><I>Corol.</I> 3. Ii$dem po$itis, & quod longitudo L $it ad quadru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12436 plum longitudinis Cylindri in ratione quæ componitur ex ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12437 <I>EFq</I>-1/2 <I>PQq</I> ad <I>EFq</I> $emel, & ratione <I>EFq-PQq</I> ad <I>EFq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12438 bis: re$i$tentia Cylindri erit ad vim qua totus ejus motus, interea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12439 dum longitudinem L de$cribit, vel tolli po$$it vel generari, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12440 den$itas Medii ad den$itatem Cylindri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12441 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12442 <p>In hac Propo$itione re$i$tentiam inve$tigavimus quæ oritur a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12443 $ola magnitudine tran$ver$æ $ectionis Cylindri, neglecta re$i$tentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12444 parte quæ ab obliquitate motuum oriri po$$it. Nam quemadmo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12445 dum in ca$u primo Propo$itionis XXXVI, obliquitas motuum qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12446 bus partes aquæ in va$e, undique convergebant in foramen <I>EF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12447 impedivit effluxum aquæ illius per foramen: $ic in hac Propo$iti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12448 one, obliquitas motuum quibus partes aquæ ab anteriore Cylindri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12449 termino pre$$æ, cedunt pre$$ioni & undique divergunt, retardat eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12450 rum tran$itum per loca in circuitu termini illius antecedentis ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12451 $us po$teriores partes Cylindri, efficitque ut fluidum ad majorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12452 di$tantiam commoveatur & re$i$tentiam auget, idque in ea fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12453 ratione qua effluxum aquæ e va$e diminuit, id e$t, in ratione du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12454 plicata 25 ad 21 circiter. Et quemadmodum, in Propo$itionis illius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12455 ca$u primo, effecimus ut partes aquæ perpendiculariter & maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12456 copia tran$irent per foramen <I>EF,</I> ponendo quod aqua omnis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12457 va$e quæ in circuitu cataractæ congelata fuerat, & cujus motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12458 obliquus erat & inutilis, maneret $ine motu: $ic in hac Propo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12459 tione, ut obliquitas motuum tollatur, & partes aquæ motu maxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12460 directo & brevi$$imo cedentes facillimum præbeant tran$itum Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12461 lindro, & $ola maneat re$i$tentia quæ oritur a magnitudine $ecti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12462 onis tran$ver$æ, quæque diminui non pote$t ni$i diminuendo dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12463 metrum Cylindri, concipiendum e$t quod partes fluidi quarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12464 motus $unt obliqui & inutiles & re$i$tentiam creant, quie$cant in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12465 ter $e ad utrumque Cylindri ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12466 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12467 minum, & cohæreant & Cylindro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12468 jungantur. Sit <I>ABCD</I> rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12469 gulum, & $int <I>AE</I> & <I>BE</I> arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12470 duo Parabolici axe <I>AB</I> de$cripti,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12471 latere autem recto quod $it ad $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12472 <pb n=314>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12473 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12474 CORPORUM.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12475 tium <I>HG,</I> de$cribendum a Cylindro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12476 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12477 cadente dum velocitatem $uam ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12478 quirit, ut <I>HG</I> ad 1/2 <I>AB.</I> Sint etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12479 <I>CF</I> & <I>DF</I> arcus alii duo Para-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12480 bolici, axe <I>CD</I> & latere recto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12481 quod $it prioris lateris recti qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12482 druplum de$cripti; & convolutione figuræ circum axem <I>EF</I> ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12483 neretur $olidum cujus media pars <I>ABDC</I> $it Cylindrus de quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12484 agimus, & partes extremæ <I>ABE</I> & <I>CDF</I> contineant partes $luidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12485 inter $e quie$centes & in corpora duo rigida concretas, quæ Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12486 lindro utrinque tanquam caput & cauda adhæreant. Et $olidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12487 <I>EACFDB,</I> $ecundum longitudinem axis $ui <I>FE</I> in partes ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12488 $us <I>E</I> progredientis, re$i$tentia ea erit quamproxime quam in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12489 Propo$itione de$crip$imus, id e$t, quæ rationem illam habet ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12490 vim qua totus Cylindri motus, interea dum longitudo 4 <I>AC</I> motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12491 illo uniformiter continuato de$cribatur, vel tolli po$$it vel generari,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12492 quam den$itas Fluidi habet ad den$itatem Cylindri quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12493 Et hac vi Re$i$tentia minor e$$e non pote$t quam in ratione 2 ad 3,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12494 per Corol. 7. Prop. XXXVI.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12495 <C>LEMMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12496 <p><I>Si Cylindrus, Sphæra & Sphærois, quorum latitudines $unt æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12497 les, in medio canalis Cylindrici ita locentur $ucce$$ive ut eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12498 rum axes cum axe canalis coincidant: hæc corpora fluxum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12499 aquæ per canalem æqualiter impedient.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12500 <p>Nam $patia inter Canalem & Cylindrum, Sphæram, & Sphæroi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12501 dem per quæ aqua tran$it, $unt æqualia: & aqua per æqualia $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12502 tia æqualiter tran$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12503 <C>LEMMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12504 <p><I>Ii$dem po$itis, corpora prædicta æqualiter urgentur ab aqua per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12505 canalem fluente.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12506 <p>Patet per Lemma v & Motus Legem tertiam. Aqua utique &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12507 corpora in $e mutuo æqualiter agunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12508 <pb n=315>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12509 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12510 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12511 <C>LEMMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12512 <p><I>Si aqua quie$cat in canali, & hæc corpora in partes contrarias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12513 æquali velocitate per canalem ferantur: æquales erunt eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12514 re$i$tentiæ inter $e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12515 <p>Con$tat ex Lemmate $uperiore, nam motus relativi iidem inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12516 $e manent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12517 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12518 <p>Eadem e$t ratio corporum omnium convexorum & rotundo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12519 rum, quorum axes cum axe canalis coincidunt. Differentia aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12520 ex majore vel minore frictione oriri pote$t; $ed in his Lemmatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12521 corpora e$$e politi$$ima $upponimus, & Medii tenacitatem & frictio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12522 nem e$$e nullam, & quod partes fluidi, quæ motibus $uis obliquis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12523 & $uperfluis fluxum aquæ per canalem perturbare, impedire, & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12524 tardare po$$unt, quie$cant inter $e tanquam gelu con$trictæ, & cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12525 poribus ad ip$orum partes anticas & po$ticas adhæreant, perinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12526 ut in Scholio Propo$itionis præcedentis expo$ui. Agitur enim in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12527 $equentibus de re$i$tentia omnium minima quam corpora rotunda,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12528 datis maximis $ectionibus tran$ver$is de$cripta, habere po$$unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12529 <p>Corpora fluidis innatantia, ubi moventur in directum, efficiunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12530 ut fluidum ad partem anticam a$cendat, ad po$ticam $ub$idat, præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12531 $ertim $i figura $int obtu$a; & inde re$i$tentiam paulo majorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12532 $entiunt quam $i capite & cauda $int acutis. Et corpora in fluidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12533 ela$ticis mota, $i ante & po$t obtu$a $int, fluidum paulo magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12534 conden$ant ad anticam partem & paulo magis relaxant ad po$ticam;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12535 & inde re$i$tentiam paulo majorem $entiunt quam $i capite & cau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12536 da $int acutis. Sed nos in his Lemmatis & Propo$itionibus non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12537 agimus de fluidis ela$ticis, $ed de non ela$ticis; non de in$identibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12538 fluido, $ed de alte immer$is. Et ubi re$i$tentia corporum in fluidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12539 non ela$ticis innote$cit, augenda erit hæc re$i$tentia aliquantulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12540 tam in fluidis ela$ticis, qualis e$t Aer, quam in $uperficiebus fluido-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12541 rum $tagnantium, qualia $unt maria & paludes.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12542 <pb n=316>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12543 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12544 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12545 <C>PROPOSITIO XXXVIII. THEOREMA XXX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12546 <p><I>Globi, in Fluido compre$$o infinito & non ela$tico uniformiter progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12547 dientis, re$i$tentia e$t ad vim qua totus ejus motus, quo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12548 octo tertias partes diametri $uæ de$cribit, vel tolli po$$it vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12549 generari, ut den$itas Fluidi ad den$itatem Globi quamproxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12550 <p>Nam Globus e$t ad Cylindrum circum$criptum ut duo ad tria;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12551 & propterea Vis illa, quæ tollere po$$it motum omnem Cylindri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12552 interea dum Cylindrus de$cribat longitudinem quatuor diametro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12553 rum, Globi motum omnem tollet interea dum Globus de$cribat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12554 duas tertias partes hujus longitudinis, id e$t, octo tertias partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12555 diametri propriæ. Re$i$tentia autem Cylindri e$t ad hanc Vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12556 quamproxime ut den$itas Fluidi ad den$itatem Cylindri vel Globi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12557 per Prop.XXXVII; & Re$i$tentia Globi æqualis e$t Re$i$tentiæ Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12558 lindri, per Lem. V, VI, VII. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12559 <p><I>Corol.</I> 1. Globorum, in Mediis compre$$is infinitis, re$i$tentiæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12560 in ratione quæ componitur ex duplicata ratione velocitatis, & du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12561 plicata ratione diametri, & duplicata ratione den$itatis Mediorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12562 <p><I>Corol.</I> 2 Velocitas maxima quacum Globus, vi ponderis $ui com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12563 parativi, in fluido re$i$tente pote$t de$cendere, ea e$t quam acqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12564 rere pote$t Globus idem, eodem pondere, ab$que re$i$tentia caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12565 do & ca$u $uo de$cribendo $patium quod $it ad quatuor tertias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12566 partes diametri $uæ ut den$itas Globi ad den$itatem Fluidi. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12567 Globus tempore ca$us $ui, cum velocitate cadendo acqui$ita, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12568 $cribet $patium quod erit ad octo tertias diametri $uæ, ut den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12569 Globi ad den$itatem Fluidi; & vis ponderis motum hunc generans,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12570 erit ad vim quæ motum eundem generare po$$it quo tempore Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12571 bus octo tertias diametri $uæ eadem velocitate de$cribit, ut den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12572 Fluidi ad den$itatem Globi: ideoque per hanc Propo$itionem, vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12573 ponderis æqualis erit vi Re$i$tentiæ, & propterea Globum accele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12574 rare non pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12575 <p><I>Corol.</I> 3. Data & den$itate Globi & velocitate ejus $ub initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12576 motus, ut & den$itate fluidi compre$$i quie$centis in qua Globus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12577 movetur; datur ad omne tempus & velocitas Globi & ejus re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12578 ftentia & $patium ab eo de$criptum, per Corol. 7. Prop. XXXV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12579 <pb n=317>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12580 <p><I>Corol.</I> 4. Globus in fluido compre$$o quie$cente eju$dem $ecum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12581 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12582 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12583 den$itatis movendo, dimidiam motus $ui partem prius amittet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12584 quam longitudinem duarum ip$ius diametrorum de$crip$erit, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12585 idem Corol. 7.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12586 <C>PROPOSITIO XXXIX. THEOREMA XXXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12587 <p><I>Globi, per Fluidum in canali Cylindrico clau$um & compre$$um uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12588 formiter progredientis, re$i$tentia e$t ad vim qua totus ejus motus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12589 interea dum octo tertias partes diametri $uæ de$cribit, vel ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12590 nerari po$$it vel tolli, in ratione quæ componitur ex ratione ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12591 ficii canalis ad exce$$um bujus orificii $upra dimidium circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12592 maximi Globi, & ratione duplicata orificii canalis ad exce$$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12593 hujus orificii $upra circulum maximum Globi, & ratione den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12594 $itatis Fluidi ad den$itatem Globi quamproxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12595 <p>Patet per Corol. 2. Prop. XXXVII; procedit vero demon$tratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12596 quemadmodum in Propo$itione præcedente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12597 <C>PROPOSITIO XL. PROBLEMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12598 <p><I>Globi, in Medio fluidi$$imo compre$$o progredientis, invenire re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12599 $tentiam per Phænomena.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12600 <p>Sit A pondus Globi in vacuo, B pondus ejus in Medio re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12601 $tente, D diameter Globi, F $patium quod $it ad 4/3 D ut den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12602 Globi ad den$itatem Medii, id e$t, ut A ad A-B, G tempus quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12603 Globus pondere B ab$que re$i$tentia cadendo de$cribit $patium F,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12604 & H velocitas quam Globus hocce ca$u $uo acquirit. Et erit H
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12605 velocitas maxima quacum Globus, pondere $uo B, in Medio re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12606 $tente pote$t de$cendere, per Corol. 2, Prop. XXXVIII; & re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12607 $tentia quam Globus ea cum velocitate de$cendens patitur, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12608 lis erit ejus ponderi B: re$i$tentia vero quam patitur in alia qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12609 cunque velocitate, erit ad pondus B in duplicata ratione velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12610 citatis hujus ad velocitatem illam maximam <I>H,</I> &c. G, per Corol. 1,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12611 Prop. XXXVIII.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12612 <pb n=318>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12613 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12614 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12615 <p>Hæc e$t re$i$tentia quæ oritur ab inertia materiæ Fluidi. Ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12616 vero quæ oritur ab ela$ticitate, tenacitate, & frictione partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12617 ejus, $ic inve$tigabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12618 <p>Demittatur Globus ut pondere $uo B in Fluido de$cendat;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12619 & $it P tempus cadendi, idque in minutis $ecundis $i tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12620 G in minutis $ecundis habeatur. Inveniatur numerus ab$o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12621 lutus N qui congruit Logarithmo 0,4342944819(2P/G), $itque L
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12622 Logarithmus numer; (N+1/N): & velocitas cadendo acqui$ita erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12623 (N-1/N+1)H, altitudo autem de$cripta erit (2PF/G)-1,3862943611 F+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12624 4,605170186LF. Si Fluidum $atis profundum $it, negligi pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12625 terminus 4,605170186LF; & erit (2PF/G)-1,3862943611 F altitude
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12626 de$cripta quamproxime. Patent hæc per Libri $ecundi Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12627 $itionem nonam & ejus Corollaria, ex Hypothe$i quod Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12628 bus nullam aliam patiatur re$i$tentiam ni$i quæ oritur ab inertia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12629 materiæ. Si vero aliam in$uper re$i$tentiam patiatur, de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12630 $us erit tardior, & ex retardatione innote$cet quantitas hujus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12631 $i$tentiæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12632 <p>Ut corporis in Fluido cadentis velocitas & de$cen$us facilius in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12633 note$cant, compo$ui Tabulam $equentem, cujus columna prima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12634 denotat tempora de$cen$us, $ecunda exhibet velocitates cadendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12635 acqui$itas exi$tente velocitate maxima 100000000, tertia exhibet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12636 $patia temporibus illis cadendo de$cripta, exi$tente 2 F $patio quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12637 corpus tempore G cum velocitate maxima de$cribit, & quarta ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12638 hibet $patia ii$dem temporibus cum velocitate maxima de$cripta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12639 Numeri in quarta columna $unt (2P/G), & $ubducendo numerum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12640 1,3862944-4,6051702 L, inveniuntur numeri in tertia columna, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12641 multiplicandi $unt hi numeri per $patium F ut habeantur $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12642 cadendo de$cripta. Quinta his in$uper adjecta e$t columna, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12643 continet $patia de$cripta ii$dem temporibus a corpore, vi ponderis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12644 $ui comparativi B, in vacuo cadente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12645 <pb n=319>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12646 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12647 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12648 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12649 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12650 <TD ALIGN="CENTER"><I>Tempora</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12651 P</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12652 <TD ALIGN="CENTER"><I>Velocitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12653 cadentis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12654 fluido</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12655 <TD ALIGN="CENTER"><I>Spatia caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12656 do de$cripta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12657 in fluido</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12658 <TD ALIGN="CENTER"><I>Spatia motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12659 maximo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12660 $cripta.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12661 <TD ALIGN="CENTER"><I>Spatia caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12662 do de$cripta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12663 in vacuo.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12664 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12665 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12666 <TD>0,001G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12667 <TD>   (99999 29/30)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12668 <TD>0,000001F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12669 <TD>0,002F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12670 <TD>0,000001F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12671 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12672 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12673 <TD>0,01G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12674 <TD>  999967</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12675 <TD>0,0001F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12676 <TD>0,02F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12677 <TD>0,0001F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12678 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12679 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12680 <TD>0,1G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12681 <TD> 9966799</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12682 <TD>0,0099834F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12683 <TD>0,2F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12684 <TD>0,01F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12685 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12686 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12687 <TD>0,2G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12688 <TD>19737532</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12689 <TD>0,0397361F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12690 <TD>0,4F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12691 <TD>0,04F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12692 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12693 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12694 <TD>0,3G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12695 <TD>29131261</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12696 <TD>0,0886815F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12697 <TD>0,6F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12698 <TD>0,09F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12699 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12700 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12701 <TD>0,4G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12702 <TD>37994896</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12703 <TD>0,1559070F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12704 <TD>0,8F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12705 <TD>0,16F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12706 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12707 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12708 <TD>0,5G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12709 <TD>46211716</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12710 <TD>0,2402290F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12711 <TD>1,0F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12712 <TD>0,25F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12713 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12714 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12715 <TD>0,6G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12716 <TD>53704957</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12717 <TD>0,3402706F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12718 <TD>1,2F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12719 <TD>0,36F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12720 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12721 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12722 <TD>0,7G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12723 <TD>60436778</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12724 <TD>0,4545405F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12725 <TD>1,4F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12726 <TD>0,49F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12727 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12728 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12729 <TD>0,8G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12730 <TD>66403677</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12731 <TD>0,5815071F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12732 <TD>1,6F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12733 <TD>0,64F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12734 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12735 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12736 <TD>0,9G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12737 <TD>71629787</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12738 <TD>0,7196609F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12739 <TD>1,8F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12740 <TD>0,81F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12741 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12742 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12743 <TD>1G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12744 <TD>76159416</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12745 <TD>0,8675617F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12746 <TD>2F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12747 <TD>1F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12748 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12749 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12750 <TD>2G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12751 <TD>96402758</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12752 <TD>2,6500055F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12753 <TD>4F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12754 <TD>4F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12755 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12756 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12757 <TD>3G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12758 <TD>99505475</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12759 <TD>4,6186570F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12760 <TD>6F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12761 <TD>9F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12762 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12763 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12764 <TD>4G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12765 <TD>99932930</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12766 <TD>6,6143765F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12767 <TD>8F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12768 <TD>16F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12769 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12770 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12771 <TD>5G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12772 <TD>99990920</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12773 <TD>8,6137964F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12774 <TD>10F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12775 <TD>25F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12776 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12777 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12778 <TD>6G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12779 <TD>99998771</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12780 <TD>10,6137179F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12781 <TD>12F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12782 <TD>36F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12783 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12784 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12785 <TD>7G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12786 <TD>99999834</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12787 <TD>12,6137073F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12788 <TD>14F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12789 <TD>49F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12790 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12791 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12792 <TD>8G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12793 <TD>99999980</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12794 <TD>14,6137059F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12795 <TD>16F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12796 <TD>64F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12797 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12798 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12799 <TD>9G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12800 <TD>99999997</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12801 <TD>16,6137057F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12802 <TD>18F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12803 <TD>81F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12804 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12805 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12806 <TD>10G</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12807 <TD>99999999 1/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12808 <TD>18,6137056F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12809 <TD>20F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12810 <TD>100F</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12811 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12812 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12813 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12814 <p>Ut re$i$tentias Fluidorum inve$tigarem per Experimenta, paravi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12815 vas ligneum quadratum, longitudine & latitudine interna digito-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12816 rum novem pedis <I>Londinen$is,</I> profunditate pedum novem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12817 $emi$$e, idemque implevi aqua pluviali; & globis ex cera & plum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12818 bo inclu$o formatis, notavi tempora de$cen$us globorum, exi$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12819 de$cen$us altitudine 112 digitorum pedis. Pes $olidus cubicus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12820 <I>Londinen$is</I> continet 76 libras <I>Romanas</I> aquæ pluvialis, & pedis hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12821 jus digitus $olidus continet (19/36) uncias libræ hujus $eu grana 253 1/3;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12822 & globus aqueus diametro digiti unius de$criptus continet grana
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12823 <pb n=320>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12824 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12825 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12826 132,645 in Medio aeris, vel grana 132,8 in vacuo; & globus qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12827 libet alius e$t ut exce$$us ponderis ejus in vacuo $upra pondus ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12828 in aqua.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12829 <p><I>Exper.</I> 1. Globus, cujus pondus erat 156 1/4 granorum in aere &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12830 77 granorum in aqua, altitudinem totam digitorum 112 tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12831 minutorum quatuor $ecundorum de$crip$it. Et experimento repe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12832 tito, globus iterum cecidit eodem tempore minutorum quatuor $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12833 cundorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12834 <p>Pondus globi in vacuo e$t (156 11/38) <I>gran,</I> & exce$$us hujus ponde-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12835 ris $upra pondus globi in aqua e$t (79 11/38) <I>gran.</I> Unde prodit globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12836 diameter 0,84224 partium digiti. E$t autem ut exce$$us ille ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12837 pondus globi in vacuo, ita den$itas aquæ ad den$itatem globi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12838 & ita partes octo tertiæ diametri globi (<I>viz.</I> 2,24597 <I>dig.</I>) ad $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12839 tium 2 F, quod proinde erit 4,4256 <I>dig.</I> Globus tempore minuti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12840 unius $ecundi, toto $uo pondere granorum (156 11/38), cadendo in va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12841 cuo de$cribet digitos 193 1/3; & pondere granorum 77, eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12842 pore, ab$que re$i$tentia cadendo in aqua de$cribet digitos 95,219;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12843 & tempore G, quod $it ad minutum unum $ecundum in $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12844 ratione $patii F $eu 2,2128 <I>dig.</I> ad 95,219 <I>dig,</I> de$cribet 2,2128 <I>dig.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12845 & velocitatem maximam H acquiret quacum pote$t in aqua de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12846 $cendere. E$t igitur tempus G 0″,15244. Et hoc tempore G,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12847 cum velocitate illa maxima H, globus de$cribet $patium 2 F digi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12848 torum 4,4256; ideoque tempore minutorum quatuor $ecundo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12849 rum de$cribet $patium digitorum 116,1245. Subducatur $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12850 1,3862944 F $eu 3,0676 <I>dig.</I> & manebit $patium 113,0569 digito-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12851 rum quod globus cadendo in aqua, in va$e ampli$$imo, tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12852 minutorum quatuor $ecundorum de$cribet. Hoc $patium, ob an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12853 gu$tiam va$is lignei prædicti, minui debet in ratione quæ compo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12854 nitur ex $ubduplicata ratione orificii va$is ad exce$$um orificii hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12855 jus $upra $emicirculum maximum globi & ex $implici ratione ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12856 ficii eju$dem ad exce$$um ejus $upra circulum maximum globi, id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12857 e$t, in ratione 1 ad 0,9914. Quo facto, habebitur $patium 112,08
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12858 digitorum, quod Globus cadendo in aqua in hoc va$e ligneo tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12859 pore minutorum quatuor $ecundorum per Theoriam de$eribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12860 debuit quamproxime. De$crip$it vero digitos 112 per Experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12861 mentum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12862 <p><I>Exper.</I> 2. Tres Globi æquales, quorum pondera $eor$im erant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12863 76 1/3 granorum in aere & (5 1/16) granorum in aqua, $ucce$$ive demitte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12864 bantur; & unu$qui$que cecidit in aqua tempore minutorum $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12865 dorum quindecim, ca$u $uo de$cribens altitudinem digitorum 112.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12866 <pb n=321>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12867 <p>Computum ineundo prodcunt pondus globi in vacuo (76 1/12) <I>gran,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12868 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12869 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12870 exce$$us hujus ponderis $upra pondus in aqua (71 17/48) <I>gran,</I> diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12871 globi 0,81296 <I>dig,</I> octo tertiæ partes hujus diametri 2,16789 <I>dig,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12872 $patium 2 F 2,3217 <I>dig,</I> $patium quod globus pondere (5 1/16) <I>gran,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12873 tempore 1″, ab$que re$i$tentia cadendo de$cribat 12,808 <I>dig,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12874 tempus G 0′,301056. Globus igitur, velocitate maxima quacum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12875 pote$t in aqua vi ponderis (5 1/16) <I>gran.</I> de$cendere, tempore 0′,301056
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12876 de$cribet $patium 2,3217 <I>dig.</I> & tempore 15″ $patium 115,678 <I>dig.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12877 Subducatur $patium 1,3862944 F $eu 1,609 <I>dig.</I> & manebit $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12878 114,069 <I>dig.</I> quod proinde globus eodem tempore in va$e lati$li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12879 mo cadendo de$cribere debet. Propter angu$tiam va$is no$tri de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12880 trahi debet $patium 0,895 <I>dig.</I> circiter. Et $ic manebit $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12881 113,174 <I>dig.</I> quod globus cadendo in hoc va$e, tempore 15″ de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12882 $cribere debuit per Theoriam quamproxime. De$crip$it vero digi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12883 tos 112 per Experimentum. Differentia e$t in$en$ibilis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12884 <p><I>Exper.</I> 3. Globi tres æquales, quorum pondera $eor$im erant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12885 121 <I>gran.</I> in aere & 1 <I>gran.</I> in aqua, $ucce$$ive demittebantur; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12886 cadeoant in aqua temporibus 46″, 47″, & 50″, de$cribentes alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12887 tudinem digitorum 112.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12888 <p>Per Theoriam hi globi cadere debuerunt tempore 40″ circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12889 Quod tardius ceciderunt, vel bullulis nonnullis globo adhærenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12890 bus, vel rarefactioni ceræ ad calorem vel tempe$tatis vel manus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12891 globum demittentis, vel erroribus in$en$ibilibus in ponderandis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12892 globis in aqua, vel denique minori proportioni re$i$tentiæ quæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12893 vi inertiæ in tardis motibus oritur ad re$i$tentiam quæ oritur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12894 aliis cau$is, tribuendum e$$e puto. Ideoque pondus globi in aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12895 debet e$$e plurium granorum ut experimentum certum & fide dig-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12896 num reddatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12897 <p><I>Exper.</I> 4. Experimenta hactenus de$cripta cæpi ut inve$tigarem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12898 re$i$tentias fluidorum antequam Theoria, in Propo$itionibus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12899 xime præcedentibus expo$ita, mihi innote$ceret. Po$tea, ut Theo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12900 riam inventam examinarem, paravi vas ligneum latitudine interna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12901 digitorum 8 2/3, profunditate pedum quindecim cum triente. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12902 inde ex cera & plumbo inclu$o globos quatuor formavi, $ingulos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12903 pondere 139 1/4 granorum in aere & 7 1/8 granorum in aqua. Et hos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12904 demi$i ut tempora cadendi in aqua per pendulum, ad $emi-minuta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12905 $ecunda o$cillans, men$urarem. Globi, ubi ponderabantur & po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12906 $tea cadebant, frigidi erant & aliquamdiu frigidi man$erant; quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12907 calor ceram rarefacit, & per rarefactionem diminuit pondus globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12908 in aqua, & cera rarefacta non $tatim ad den$itatem pri$tinam per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12909 <pb n=322>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12910 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12911 CORPORUM.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12912 frigus reducitur. Antequam caderent, immergebantur penitus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12913 aquam; ne pondere partis alicujus ex aqua extantis de$cen$us eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12914 rum $ub initio acceleraretur. Et ubi penitus immer$i quie$cebant,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12915 demittebantur quam cauti$$ime, ne impul$um aliquem a manu de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12916 mittente acciperent. Ceciderunt autem $ucce$$ive temporibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12917 o$cillationum 47 1/2, 48 1/2, 50 & 51, de$cribentes altitudinem pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12918 quindecim & digitorum duorum. Sed tempe$tas jam paulo frigi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12919 dior erat quam cum globi ponderabantur, ideoque iteravi experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12920 mentum alio die, & globi ceciderunt temporibus o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12921 49, 49 1/2, 50 & 53, ac tertio temporibus o$cillationum 49 1/2, 50, 51
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12922 & 53. Et experimento $æpius capto, Globi ceciderunt maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12923 ex parte temporibus o$cillationum 49 1/2 & 50. Ubi tardius ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12924 cidere, $u$picor eo$dem retardatos fui$$e impingendo in latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12925 va$is.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12926 <p>Jam computum per Theoriam ineundo, prodeunt pondus globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12927 in vacuo 139 2/5 granorum. Exce$$us hujus ponderis $upra pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12928 globi in aqua (132 11/40) <I>gran.</I> Diameter globi 0,99868 <I>dig.</I> Octo ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12929 tiæ partes diametri 2,66315 <I>dig.</I> Spatium 2 F 2,8066 <I>dig.</I> Spatium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12930 quod globus pondere 7 1/8 granorum, tempore minuti unius $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12931 cundi ab$que re$i$tentia cadendo de$cribit 9,88164 <I>dig.</I> Et tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12932 G 0″,376843. Globus igitur, velocitate maxima quacum pote$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12933 aqua vi ponderis 7 1/8 granorum de$cendere, tempore 0″,376843 de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12934 $cribit $patium 2,8066 digitorum, & tempore 1″ $patium 7,44766 di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12935 gitorum, & tempore 25″ $eu o$cillationum 50 $patium 186,1915 <I>dig.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12936 Subducatur $patium 1,386294 F, $eu 1,9454 <I>dig.</I> & manebit $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12937 tium 184,2461 <I>dig.</I> quod globus eodem tempore in va$e lati$$imo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12938 de$cribet. Ob angu$tiam va$is no$tri, minuatur hoc $patium in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12939 tione quæ componitur ex $ubduplicata ratione orificii va$is ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12940 exce$$um hujus orificii $upra $emicirculum maximum globi, & $im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12941 plici ratione eju$dem orificii ad exce$$um ejus $upra circulum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12942 ximum globi; & habebitur $patium 181,86 digitorum, quod glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12943 bus in hoc va$e tempore o$cillationum 50 de$cribere debuit per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12944 Theoriam quamproxime. De$crip$it vero $patium 182 digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12945 tempore o$cillationum 49 1/2 vel 50 per Experimentum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12946 <p><I>Exper.</I> 5. Globi quatuor pondere 154 1/8 <I>gran.</I> in aere & 21 1/2 <I>gran.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12947 in aqua, $æpe demi$$i, cadebant tempore o$cillationum 28 1/2, 29,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12948 29<*> & 30, & nonnunquam 31, 32 & 33, de$cribentes altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12949 pedum quindecim & digitorum duorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12950 <p>Per Theoriam cadere debuerunt tempore o$cillationum 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12951 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12952 <pb n=323>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12953 <p><I>Exper.</I> 6. Globi quinque pondere 212 1/8 <I>gran.</I> in aere & 79 1/2 in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12954 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12955 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12956 aqua, $æpe demi$$i, cadebant tempore o$cillationum 15, 15 1/2, 16,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12957 17 & 18, de$cribentes altitudinem pedum quindecim & digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12958 duorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12959 <p>Per Theoriam cadere debuerunt tempore o$cillationum 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12960 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12961 <p><I>Exper.</I> 7. Globi quatuor pondere 293 1/8 <I>gran.</I> in aere & 35 1/8 <I>gran.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12962 in aqua, $æpe demi$$i, cadebant tempore o$cillationum 29 1/2, 30,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12963 30 1/2, 31, 32 & 33, de$cribentes altitudinem pedum quindecim &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12964 digiti unius cum $emi$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12965 <p>Per Theoriam cadere debuerunt tempore o$cillationum 28
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12966 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12967 <p>Cau$am inve$tigando cur globorum, eju$dem ponderis & magni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12968 tudinis, aliqui citius alii tardius caderent, in hanc incidi; quod glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12969 bi, ubi primum demittebantur & cadere incipiebant, o$cillarent cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12970 cum centra, latere illo quod forte gravius e$$et, primum de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12971 dente, & motum o$cillatorium generante. Nam per o$cillationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12972 $uas, globus majorem motum communicat aquæ, quam $i $ine o$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12973 lationibus de$cenderet; & communicando, amittit partem motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12974 proprii quo de$cendere deberet: & pro majore vel minore o$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12975 latione, magis vel minus retardatur. Quinetiam globus recedit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12976 $emper a latere $uo quod per o$cillationem de$cendit, & receden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12977 do appropinquat lateribus va$is & in latera nonnunquam impin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12978 gitur. Et hæc o$cillatio in globis gravioribus fortior e$t, & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12979 majoribus aquam magis agitat. Quapropter, ut o$cillatio globo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12980 rum minor redderetur, globos novos ex cera & plumbo con$truxi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12981 infigendo plumbum in latus aliquod globi prope $uperficiem ejus;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12982 & globum ita demi$i, ut latus gravius, quoad fieri potuit, e$$et in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12983 fimum ab initio de$cen$us. Sic o$cillationes factæ $unt multo mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12984 nores quam prius, & globi temporibus minus inæqualibus cecide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12985 runt, ut in experimentis $equentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12986 <p><I>Exper.</I> 8. Globi quatuor pondere granorum 139 in aere & 6 1/2 in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12987 aqua, $æpe demi$$i, ceciderunt temporibus o$cillationum non plu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12988 rium quam 52, non pauciorum quam 50, & maxima ex parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12989 tempore o$cillationum 51 circiter, de$cribentes altitudinem digi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12990 torum 182.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12991 <p>Per Theoriam cadere debuerunt tempore o$cillationum 52
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12992 circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12993 <p><I>Exper.</I> 9. Globi quatuor pondere granorum 273 1/4 in aere &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12994 140 1/4 in aqua, $æpius demi$$i, ceciderunt temporibus o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12995 <pb n=324>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12996 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12997 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12998 non pauciorum quam 12, non plurium quam 13, de$cribentes al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	12999 titudinem digitorum 182.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13000 <p>Per Theoriam vero hi globi cadere debuerunt tempore o$cilla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13001 tionum 11 1/3 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13002 <p><I>Exper.</I> 10. Globi quatuor pondere granorum 384 in aere &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13003 119 1/2 in aqua, $æpe demi$$i, cadebant temporibus o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13004 17 1/4, 18, 18 1/2 & 19, de$cribentes altitudinem digitorum 181 1/2. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13005 ubi ceciderunt tempore o$cillationum 19, nonnunquam audivi im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13006 pul$um eorum in latera va$is antequam ad fundum pervenerunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13007 <p>Per Theoriam vero cadere debuerunt tempore o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13008 15 3/9 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13009 <p><I>Exper.</I> 11. Globi tres æquales, pondere granorum 48 in aere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13010 & (3 29/32) in aqua, $æpe demi$$i, ceciderunt temporibus o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13011 43 1/2, 44, 44 1/2, 45 & 46, & maxima ex parte 44 & 45, de$cribentes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13012 altitudinem digitorum 182 1/2 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13013 <p>Per Theoriam cadere debuerunt tempore o$cillationum 46 5/9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13014 circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13015 <p><I>Exper.</I> 12. Globi tres æquales, pondere granorum 141 in aere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13016 & 4 3/8 in aqua, aliquoties demi$$i, ceciderunt temporibus o$cillatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13017 num 61, 62, 63, 64 & 65, de$cribentes altitudinem digitorum 182.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13018 <p>Et per Theoriam cadere debuerunt tempore o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13019 64 1/2 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13020 <p>Per hæc Experimenta manife$tum e$t quod, ubi globi tarde ceci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13021 derunt, ut in experimentis $ecundis, quartis, quintis, octavis, un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13022 decimis ac duodecimis, tempora cadendi recte exhibentur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13023 Theoriam: at ubi globi velocius ceciderunt, ut in experimentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13024 $extis, nonis ac decimis, re$i$tentia paulo major extitit quam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13025 duplicata ratione velocitatis. Nam globi inter cadendum o$cillant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13026 aliquantulum; & hæc o$cillatio in globis levioribus & tardius ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13027 dentibus, ob motus languorem cito ce$$at; in gravioribus autem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13028 majoribus, ob motus fortitudinem diutius durat, & non ni$i po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13029 plures o$cillationes ab aqua ambiente cohiberi pote$t. Quinetiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13030 globi, quo velociores $unt, eo minus premuntur a fluido ad po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13031 $ticas $uas partes; & $i velocitas perpetuo augeatur, $patium va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13032 cuum tandem a tergo relinquent, ni$i compre$$io fluidi $imul au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13033 geatur. Debet autem compre$$io fluidi (per Prop. XXXII & XXXIII)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13034 augeri in duplicata ratione velocitatis, ut re$i$tentia $it in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13035 duplicata ratione. Quoniam hoc non fit, globi velociores paulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13036 minus premuntur a tergo, & defectu pre$$ionis hujus, re$i$tentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13037 corum fit paulo major quam in duplicata ratione velocitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13038 <pb n=325>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13039 <p>Congruit igitur Theoria cum phænomenis corporum caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13040 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13041 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13042 tium in Aqua, reliquum e$t ut examinemus phænomena caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13043 tium in Aere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13044 <p><I>Exper.</I> 13. A culmine Eccle$iæ <I>S<SUP>ti</SUP> Pauli,</I> in urbe <I>Londini,</I> globi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13045 duo vitrei $imul demittebantur, unus argenti vivi plenus, alter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13046 aeris; & cadendo de$cribebant altitudinem pedum <I>Londinen$ium</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13047 220. Tabula lignea ad unum ejus terminum polis ferreis $u$pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13048 debatur, ad alterum pe$$ulo ligneo incumbebat; & globi duo huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13049 Tabulæ impo$iti $imul demittebantur, $ubtrahendo pe$$ulum, ut Ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13050 bula polis ferreis $olummodo innixa $uper ii$dem devolveretur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13051 codem temporis momento pendulum ad minuta $ecunda o$cillans,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13052 per filum ferreum a pe$$ulo ad imam Eccle$iæ partem tendens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13053 dimitteretur & o$cillare inciperet. Diametri & pondera globorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13054 ac tempora cadendi exhibentur in Tabula $equente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13055 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13056 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13057 <TD COLSPAN="3" ALIGN="CENTER"><I>Globorum mercurio plenorum.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13058 <TD COLSPAN="3" ALIGN="CENTER"><I>Globorum aere plenorum.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13059 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13060 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13061 <TD ALIGN="CENTER"><I>Pondera</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13062 <TD ALIGN="CENTER"><I>Diametri</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13063 <TD ALIGN="CENTER"><I>Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13064 cadendi.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13065 <TD ALIGN="CENTER"><I>Pondera</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13066 <TD ALIGN="CENTER"><I>Diametri</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13067 <TD ALIGN="CENTER"><I>Tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13068 cadendi.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13069 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13070 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13071 <TD>908 <I>gran.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13072 <TD>0,8 <I>digit.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13073 <TD>4″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13074 <TD>510 <I>gran.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13075 <TD>5,1 <I>digit.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13076 <TD>8″ 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13077 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13078 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13079 <TD>983</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13080 <TD>0,8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13081 <TD>4-</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13082 <TD>642</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13083 <TD>5,2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13084 <TD>8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13085 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13086 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13087 <TD>866</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13088 <TD>0,8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13089 <TD>4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13090 <TD>599</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13091 <TD>5,1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13092 <TD>8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13093 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13094 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13095 <TD>747</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13096 <TD>0,75</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13097 <TD>4+</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13098 <TD>515</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13099 <TD>5,0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13100 <TD>8 <*>/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13101 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13102 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13103 <TD>808</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13104 <TD>0,75</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13105 <TD>4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13106 <TD>483</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13107 <TD>5,0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13108 <TD>8 <*></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13109 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13110 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13111 <TD>784</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13112 <TD>0,75</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13113 <TD>4+</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13114 <TD>641</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13115 <TD>5,2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13116 <TD>8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13117 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13118 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13119 <p>Cæterum tempora ob$ervata corrigi debent. Nam globi mer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13120 curiales (per Theoriam <I>Galilæi</I>) minutis quatuor $ecundis de$cribent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13121 pedes <I>Londinen$es</I> 257, & pedes 220 minutis tantum 3″ 42‴. Ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13122 bula lignea utique, detracto pe$$ulo, tardius devolvebatur quam par
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13123 erat, & tarda $ua devolutione impediebat de$cen$um globorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13124 $ub initio. Nam globi incumbebant Tabulæ prope medium ejus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13125 & paulo quidem propiores erant axi ejus quam pe$$ulo. Et hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13126 tempora cadendi prorogata fuerunt minutis tertiis octodecim cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13127 citer, & jam corrigi debent detrahendo illa minuta, præ$ertim in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13128 globis majoribus qui Tabulæ devolventi paulo diutius incumbe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13129 bant propter magnitudinem diametrorum. Quo facto, tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13130 quibus globi $ex majores cecidere, evadent, 8″, 12‴, 7″ 42‴, 7″ 42‴,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13131 7″ 57‴, 8″ 12‴, & 7″ 42‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13132 <pb n=326>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13133 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13134 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13135 <p>Globorum igitur aere plenorum quintus, diametro digitorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13136 quinque pondere granorum 483 con$tructus, cecidit tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13137 8″ 12‴, de$cribendo altitudinem pedum 220. Pondus aquæ huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13138 globo æqualis, e$t 16600 granorum; & pondus aeris eidem æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13139 e$t (<>66 -<>/860) <I>gran.</I> $eu (19 3/10) <I>gran</I>; ideoque pondus globi in vacuo e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13140 (502 3/10) <I>gran</I>; & hoc pondus e$t ad pondus aeris globo æqualis, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13141 (502 3/10) ad (19 3/10), & ita $unt 2 F ad octo tertias partes diametri glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13142 bi, id e$t, ad (13 1/3) digitos. Unde 2 F prodeunt 28 <I>ped.</I> 11 <I>dig.</I> Glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13143 bus cadendo in vacuo, toto $uo pondere (502 3/10) granorum, tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13144 minuti unius $ecundi de$cribit digitos 193 1/3 ut $upra, & pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13145 483 <I>gran.</I> de$cribit digitos 185,905, & eodem pondere 483 <I>gran.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13146 etiam in vacuo de$cribit $patium F $eu 14 <I>ped.</I> 5 1/2 <I>dig.</I> tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13147 57‴ 58‴, & velocitatem maximam acquirit quacum po$$it in aere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13148 de$cendere. Hac velocitate globus, tempore 8″ 12‴, de$cribet $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13149 tium pedum 245 & digitorum 5 1/3. Aufer 1,3863 F $eu 20 <I>ped.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13150 0 1/2 <I>dig.</I> & manebunt 225 <I>ped.</I> 5 <I>dig.</I> Hoc $patium igitur globus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13151 tempore 8″ 12‴, cadendo de$cribere debuit per Theoriam. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13152 $crip$it vero $patium 220 pedum per Experimentum. Differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13153 in$en$ibilis e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13154 <p>Similibus computis ad reliquos etiam globos aere plenos appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13155 catis, confeci Tabulam $equentem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13156 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13157 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13158 <TD ALIGN="CENTER"><I>Globorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13159 pondera</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13160 <TD ALIGN="CENTER"><I>Dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13161 metri</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13162 <TD COLSPAN="2"><I>Tempora ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13163 dendi ab al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13164 titudine pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13165 dum</I> 220.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13166 <TD COLSPAN="2" ALIGN="CENTER"><I>Spatia de$criben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13167 da per Theoriam.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13168 <TD COLSPAN="2" ALIGN="CENTER"><I>Exce$$us</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13169 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13170 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13171 <TD>510 <I>gran.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13172 <TD>5,1 <I>dig.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13173 <TD>8″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13174 <TD>12‴</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13175 <TD>226 <I>ped.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13176 <TD>11 <I>dig.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13177 <TD>6 <I>ped.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13178 <TD>11 <I>dig.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13179 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13180 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13181 <TD>642</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13182 <TD>5,2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13183 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13184 <TD>42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13185 <TD>230</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13186 <TD>9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13187 <TD>10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13188 <TD>9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13189 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13190 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13191 <TD>599</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13192 <TD>5,1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13193 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13194 <TD>42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13195 <TD>227</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13196 <TD>10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13197 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13198 <TD>10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13199 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13200 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13201 <TD>515</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13202 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13203 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13204 <TD>57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13205 <TD>224</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13206 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13207 <TD>4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13208 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13209 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13210 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13211 <TD>483</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13212 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13213 <TD>8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13214 <TD>12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13215 <TD>225</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13216 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13217 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13218 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13219 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13220 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13221 <TD>641</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13222 <TD>5,2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13223 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13224 <TD>42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13225 <TD>230</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13226 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13227 <TD>10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13228 <TD>7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13229 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13230 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13231 <p>Globorum igitur tam in Aere quam in Aqua motorum re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13232 $tentia prope omnis per Theoriam no$tram recte exhibetur, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13233 den$itati fluidorum, paribus globorum velocitatibus ac magnitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13234 nibus, proportionalis e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13235 <pb n=327>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13236 <p>In Scholio quod Sectioni $extæ $ubjunctum e$t, o$tendimus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13237 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13238 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13239 experimenta pendulorum quod globorum æqualium & æquivelo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13240 cium in Aere, Aqua, & Argento vivo motorum re$i$tentiæ $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13241 fluidorum den$itates. Idem hic o$tendimus magis accurate per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13242 experimenta corporum cadentium in Aere & Aqua. Nam pendula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13243 $ingulis o$cillationibus motum cient in fluido motui penduli re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13244 deuntis $emper contrarium, & re$i$tentia ab hoc motu oriunda, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13245 & re$i$tentia fili quo pendulum $u$pendebatur, totam Penduli re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13246 $i$rentiam majorem reddiderunt quam re$i$tentia quæ per experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13247 menta corporum cadentium prodiit. Etenim per experimenta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13248 pendulorum in Scholio illo expo$ita, globus eju$dem den$itatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13249 cum Aqua, de$cribendo longitudinem $emidiametri $uæ in Aere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13250 amittere deberet motus $ui partem (1/3342). At per Theoriam in hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13251 $eptima Sectione expo$itam & experimentis cadentium confirma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13252 tam, globus idem de$cribendo longitudinem eandem, amittere de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13253 beret motus $ui partem tantum (1/4586), po$ito quod den$itas Aquæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13254 ad den$itatem Aeris ut 860 ad 1. Re$i$tentiæ igitur per experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13255 menta pendulorum majores prodiere (ob cau$as jam de$criptas)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13256 quam per experimenta globorum cadentium, idque in ratione 4 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13257 3 circiter. Attamen cum pendulorum in Aere, Aqua, & Argento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13258 vivo o$cillantium re$i$tentiæ a cau$is $imilibus $imiliter augeantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13259 proportio re$i$tentiarum in his Mediis, tam per experimenta pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13260 dulorum, quam per experimenta corporum cadentium, $atis recte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13261 exhibebitur. Et inde concludi pote$t quod corporum in fluidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13262 quibu$cunque fluidi$$imis motorum re$i$tentiæ, cæteris paribus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13263 $unt ut den$itates fluidorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13264 <p>His ita $tabilitis, dicere jam licet quamnam motus $ui partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13265 globus quilibet, in fluido quocunque projectus, dato rempore amit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13266 tet quamproxime. Sit D diameter globi, & V velocitas ejus $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13267 initio motus, & T tempus quo globus velocitate V in vacuo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13268 $cribet $patium quod $it ad $patium 2/3D ut den$itas globi ad den$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13269 tatem fluidi: & globus in fluido illo projectus, tempore quovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13270 alio <I>t,</I> amittet velocitatis $uæ partem (<I>t</I>V/T+<I>t</I>), manente parte (TV/T+<I>t</I>),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13271 & de$cribet $patium quod $it ad $patium uniformi velocitate V eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13272 dem tempore de$criptum in vacuo, ut logarithmus numeri (T+<I>t</I>/T)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13273 multiplicatus per numerum 2,302585093 e$t ad numerum <I>t</I>/T, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13274 <pb n=328>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13275 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13276 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13277 Corol. 7, Prop.XXXV. In motibus tardis re$i$tentia pote$t e$$e pau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13278 lo minor, propterea quod figura Globi paulo aptior $it ad motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13279 quam figura Cylindri eadem diametro de$cripti. In motibus ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13280 locibus re$i$tentia pote$t e$$e paulo major, propterea quod ela$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13281 citas & compre$$io fluidi non augeantur in duplicata ratione ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13282 locitatis. Sed huju$modi minutias hic non expendo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13283 <p>Et quamvis Aer, Aqua, Argentum vivum & $imilia fluida, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13284 divi$ionem partium in infinitum, $ubtiliarentur & fierent Media in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13285 finite fluida; tamen globis projectis haud minus re$i$terent. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13286 re$i$tentia, de qua agitur in Propo$itionibus præcedentibus, oritur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13287 ab inertia materiæ; & inertia materiæ corporibus e$$entialis e$t &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13288 quantitati materiæ $emper proportionalis. Per divi$ionem partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13289 fluidi, re$i$tentia quæ oritur a tenacitate & frictione partium, di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13290 minui quidem pote$t: $ed quantitas materiæ per divi$ionem par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13291 tium ejus non diminuitur; & manente quantitate materiæ, manet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13292 ejus vis inertiæ cui re$i$tentia, de qua hic agitur, $emper proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13293 nalis e$t. Ut hæc re$i$tentia diminuatur, diminui debet quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13294 materiæ in $patiis per quæ corpora moventur. Et propterea $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13295 tia C&oelig;le$tia, per quæ globi Planetarum & Cometarum in omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13296 partes liberrime & ab$que omni motus diminutione $en$ibili per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13297 petuo moventur, fluido omni corporeo de$tituuntur, $i forte vapo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13298 res longe tenui$$imos & trajectos lucis radios excipias.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13299 <p>Projectilia utique motum cient in fluidis progrediendo, & hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13300 motus oritur ab exce$$u pre$$ionis fluidi ad projectilis partes anti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13301 cas $upra pre$$ionem ad ejus partes po$ticas, & non minor e$$e po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13302 te$t in Mediis infinite fluidis quam in Aere, Aqua, & Argento vivo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13303 pro den$itate materiæ in $ingulis. Hic autem pre$$ionis exce$$us,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13304 pro quantitate $ua, non tantum motum ciet in fluido, $ed etiam agit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13305 in projectile ad motum ejus retardandum: & propterea re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13306 $tentia in omni fluido, e$t ut motus in fluido a projectili excita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13307 tus, nec minor e$$e pote$t in Æthere $ubtili$$imo pro den$itate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13308 Ætheris, quam in Aere, Aqua, & Argento vivo pro den$itatibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13309 horum fluidorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13310 <pb n=329>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13311 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13312 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13313 <C>SECTIO VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13314 <C><I>De Motu per Fluida propagato.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13315 <C>PROPOSITIO XLI. THEOREMA XXXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13316 <p><I>Pre$$io non propagatur per Fluidum $ecundum lineas rectas, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13317 ubi particulæ Fluidi in directum jacent.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13318 <p>Si jaceant particulæ <I>a, b, c, d, e</I> in linea recta, pote$t quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13319 pre$$io directe propagari ab <I>a</I> ad <I>e</I>; at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13320 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13321 particula <I>e</I> urgebit particulas oblique po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13322 $itas <I>f</I> & <I>g</I> oblique, & particulæ illæ <I>f</I> & <I>g</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13323 non $u$tinebunt pre$$ionem illatam, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13324 fulciantur a particulis ulterioribus <I>h</I> & <I>k</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13325 quatenus autem fulciuntur, premunt par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13326 ticulas fulcientes; & hæ non $u$tinebunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13327 pre$$ionem ni$i fulciantur ab ulterioribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13328 <I>l</I> & <I>m</I> ea$que premant, & $ic deinceps in infinitum. Pre$$io igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13329 tur, quam primum propagatur ad particulas quæ non in directum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13330 jacent, divaricare incipiet & oblique propagabitur in infinitum;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13331 & po$tquam incipit oblique propagari, $i inciderit in particulas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13332 ulteriores, quæ non in directum jacent, iterum divaricabit; id-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13333 que toties, quoties in particulas non accurate in directum ja-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13334 centes inciderit. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13335 <p><I>Corol.</I> Si pre$$ionis, a dato puncto per Fluidum propagatæ, pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13336 aliqua ob$taculo intercipiatur; pars reliqua, quæ non intercipitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13337 divaricabit in $patia pone ob$taculum. Id quod $ic etiam de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13338 mon$trari pote$t. A puncto <I>A</I> propagetur pre$$io quaquaver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13339 $um, idque $i fieri pote$t $ecundum lineas rectas, & ob$taculo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13340 <I>NBCK</I> perforato in <I>BC,</I> intercipiatur ea omnis, præter par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13341 tem Coniformem <I>APQ,</I> quæ per foramen circulare <I>BC</I> tran$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13342 Planis tran$ver$is <I>de, fg, hi</I> di$tinguatur conus <I>APQ</I> in fru$ta;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13343 & interea dum conus <I>ABC,</I> pre$$ionem propagando, urget fru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13344 <pb n=330>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13345 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13346 CORPORUM.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13347 $tum conicum ulterius <I>degf</I> in $uperficie <I>de,</I> & hoc fru$tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13348 urget fru$tum proximum <I>fgih</I> in $uperficie <I>fg,</I> & fru$tum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13349 urget fru$tum tertium, & $ic deinceps in infinitum; manife$tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13350 e$t (per motus Legem tertiam) quod fru$tum primum <I>defg,</I> re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13351 actione $ru$ti $ecundi <I>fghi,</I> tantum urgebitur & premetur in $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13352 perficie <I>fg,</I> quantum urget & premit fru$tum illud $ecundum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13353 Fru$tum igitur <I>degf</I> inter conum <I>Ade</I> & fru$tum <I>fhig</I> com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13354 primitur utrinque, & propterea (per Corol. 6. Prop. XIX.) figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13355 ram $uam $ervare nequit, ni$i vi eadem comprimatur undique.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13356 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13357 Eodem igitur impetu quo premitur in $uperficiebus <I>de, fg,</I> cona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13358 bitur cedere ad latera <I>df, eg</I>; ibique (cum rigidum non $it, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13359 omnimodo Fluidum) excurret ac dilatabitur, ni$i Fluidum am-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13360 biens ad$it, quo conatus i$te cohibeatur. Proinde conatu excur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13361 rendi, premet tam Fluidum ambiens ad latera <I>df, eg</I> quam fru$tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13362 <I>fghi</I> eodem impetu; & propterea pre$$io non minus propagabi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13363 tur a lateribus <I>df, eg</I> in $patia <I>NO, KL</I> hinc inde, quam pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13364 pagatur a $uperficie <I>fg</I> ver$us <I>PQ. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13365 <pb n=331>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13366 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13367 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13368 <C>PROPOSITIO XLII. THEOREMA XXXIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13369 <p><I>Motus omnis per Fluidum propagatus divergit a recto tramite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13370 in $patia immota.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13371 <p><I>Cas.</I> 1. Propagetur motus a puncto <I>A</I> per foramen <I>BC,</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13372 gatque ($i $ieri pote$t) in $patio conico <I>BCQP,</I> $ecundum li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13373 neas rectas divergentes a puncto <I>C.</I> Et ponamus primo quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13374 motus i$te $it undarum in $uperficie $tagnantis aquæ. Sintque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13375 <I>de, fg, hi, kl,</I> &c. undarum $ingularum partes alti$$imæ, valli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13376 bus totidem intermediis ab invicem di$tinctæ. Igitur quoniam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13377 aqua in undarum jugis altior e$t quam in Fluidi partibus immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13378 tis <I>LK, NO,</I> defluet eadem de jugorum terminis <I>e, g, i, l,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13379 <I>d, f, h, k,</I> &c. hinc inde, ver$us <I>KL</I> & <I>NO</I>: & quoniam in un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13380 darum vallibus depre$$ior e$t quam in Fluidi partibus immotis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13381 <I>KL, NO</I>; defluet eadem de partibus illis immotis in undarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13382 valles. Defluxu priore undarum juga, po$teriore valles hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13383 inde dilatantur & propagantur ver$us <I>KL</I> & <I>NO.</I> Et quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13384 niam motus undarum ab <I>A</I> ver$us <I>PQ</I> fit per continuum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13385 fluxum jugorum in valles proximos, adeoque celerior non e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13386 quam pro celeritate de$cen$us; & de$cen$us aquæ, hinc inde, ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13387 $us <I>KL</I> & <I>NO</I> eadem velocitate peragi debet; propagabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13388 dilatatio undarum, hinc inde, ver$us <I>KL</I> & <I>NO,</I> eadem velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13389 citate qua undæ ip$æ ab <I>A</I> ver$us <I>PQ</I> recta progrediuntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13390 Proindeque $patium totum hinc inde, ver$us <I>KL</I> & <I>NO,</I> ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13391 undis dilatatis <I>rfgr, shis, tklt, vmnv,</I> &c. occupabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13392 <I>Q. E. D.</I> Hæc ita $e habere quilibet in aqua $tagnante expe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13393 riri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13394 <p><I>Cas.</I> 2. Ponamus jam quod <I>de, fg, hi, kl, mn</I> de$ignent pul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13395 $us a puncto <I>A,</I> per Medium Ela$ticum, $ucce$$ive propagatos.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13396 Pul$us propagari concipe per $ucce$$ivas conden$ationes & rare-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13397 factiones Medii, $ic ut pul$us cuju$que pars den$i$$ima $phæricam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13398 occupet $uperficiem circa centrum <I>A</I> de$criptam, & inter pul$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13399 $ucce$$ivos æqualia intercedant intervalla. De$ignent autem lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13400 <I>de, fg, hi, kl,</I> &c. den$i$$imas pul$uum partes, per foramen <I>BC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13401 propagatas. Et quoniam Medium ibi den$ius e$t quam in $patiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13402 hinc inde ver$us <I>KL</I> & <I>NO,</I> dilatabit $e$e tam ver$us $patia illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13403 <I>KL, NO</I> utrinque $ita, quam ver$us pul$uum rariora intervalla;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13404 <pb n=332>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13405 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13406 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13407 eoque pacto rarius $emper evadens e regione intervallorum ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13408 den$ius e regione pul$uum, participabit eorundem motum. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13409 quoniam pul$uum progre$$ivus motus oritur a perpetua relaxa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13410 tione partium den$iorum ver$us antecedentia intervalla rariora;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13411 & pul$us eadem fere celeritate $e$e in Medii partes quie$centes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13412 <I>KL, NO</I> hinc inde relaxare debent; pul$us illi eadem fere cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13413 ritate $e$e dilatabunt undique in $patia immota <I>KL, NO,</I> qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13414 propagantur directe a centro <I>A</I>; adeoque $patium totum <I>KLON</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13415 occupabunt. <I>Q.E.D.</I> Hoc experimur in Sonis, qui vel monte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13416 interpo$ito audiuntur, vel in cubiculum per fene$tram admi$$i $e$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13417 in omnes cubiculi partes dilatant, inque angulis omnibus audiun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13418 tur, non tam reflexi a parietibus oppo$itis, quam a fene$tra directe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13419 propagati, quantum ex $en$u judicare licet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13420 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13421 <p><I>Cas.</I> 3. Ponamus denique quod motus cuju$cunque generis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13422 propagetur ab <I>A</I> per foramen <I>BC</I>: & quoniam propagatio i$ta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13423 non fit, ni$i quatenus partes Medii centro <I>A</I> propiores urgent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13424 commoventque partes ulteriores; & partes quæ urgentur fluidæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13425 $unt, ideoque recedunt quaquaver$um in regiones ubi minus pre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13426 <pb n=333>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13427 muntur: recedent eædem ver$us Medii partes omnes quie$centes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13428 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13429 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13430 tam laterales <I>KL</I> & <I>NO,</I> quam anteriores <I>PQ,</I> eoque pacto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13431 motus omnis, quam primum per foramen <I>BC</I> tran$iit, dilatari in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13432 cipiet & abinde, tanquam a principio & centro, in partes omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13433 directe propagari. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13434 <C>PROPOSITIO XLIII. THEOREMA XXXIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13435 <p><I>Corpus omne tremulum in Medio Ela$tico propagabit motum pul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13436 $uum undique in directum; in Medio vero non Ela$tico motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13437 circularem excitabit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13438 <p><I>Cas.</I> 1. Nam partes corporis tremuli vicibus alternis eundo &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13439 redeundo, itu $uo urgebunt & propellent partes Medii $ibi proxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13440 mas, & urgendo compriment ea$dem & conden$abunt; dein re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13441 ditu $uo $inent partes compre$$as recedere & $e$e expandere. Igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13442 tur partes Medii corpori tremulo proximæ ibunt & redibunt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13443 vices, ad in$tar partium corporis illius tremuli: & qua ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13444 partes corporis hujus agitabant ha$ce Medii partes, hæ $imilibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13445 tremoribus agitatæ agitabunt partes $ibi proximas, eæque $imiliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13446 agitatæ agitabunt ulteriores, & $ic deinceps in infinitum. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13447 quemadmodum Medii partes primæ eundo conden$antur & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13448 deundo relaxantur, $ic partes reliquæ quoties eunt conden$abun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13449 tur, & quoties redeunt $e$e expandent. Et propterea non omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13450 ibunt & $imul redibunt ($ic enim determinatas ab invicem di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13451 tias $ervando, non rarefierent & conden$arentur per vices) $ed ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13452 cedendo ad invicem ubi conden$antur, & recedendo ubi rarefiunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13453 aliquæ earum ibunt dum aliæ redeunt; idque vicibus alternis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13454 infinitum. Partes autem euntes & eundo conden$atæ, ob motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13455 $uum progre$$ivum quo feriunt ob$tacula, $unt pul$us; & propte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13456 rea pul$us $ucce$$ivi a corpore omni tremulo in directum propaga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13457 buntur; idque æqualibus circiter ab invicem di$tantiis, ob æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13458 lia temporis intervalla, quibus corpus tremoribus $uis $ingulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13459 $ingulos pul$us excitat. Et quanquam corporis tremuli par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13460 tes eant & redeant $ecundum plagam aliquam certam & determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13461 natam, tamen pul$us inde per Medium propagati $e$e dilatabunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13462 ad latera, per Propo$itionem præcedentem; & a corpore illo tre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13463 mulo tanquam centro communi, $ecundum $uperficies propemo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13464 dum $phæricas & concentricas, undique propagabuntur. Cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13465 <pb n=334>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13466 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13467 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13468 rei exemplum aliquod habemus in Undis, quæ $i digito tremulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13469 excitentur, non $olum pergent hinc inde $ecundum plagam motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13470 digiti, $ed, in modum circulorum concentricorum, digitum $tatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13471 cingent & undique propagabuntur. Nam gravitas Undarum $up-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13472 plet locum vis Ela$ticæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13473 <p><I>Cas.</I>2. Quod $i Medium non $it Ela$ticum: quoniam ejus partes a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13474 corporis tremuli partibus vibratis pre$$æ conden$ari nequeunt, pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13475 pagabitur motus in in$tanti ad partes ubi Medium facillime ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13476 dit, hoc e$t, ad partes quas corpus tremulum alioqui vacuas a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13477 tergo relinqueret. Idem e$t ca$us cum ca$u corporis in Medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13478 quocunque projecti. Medium cedendo projectilibus, non rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13479 dit in infinitum; $ed in circulum eundo, pergit ad $patia quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13480 corpus relinquit a tergo. Igitur quoties corpus tremulum per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13481 git in partem quamcunque, Medium cedendo perget per circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13482 lum ad partes quas corpus relinquit; & quoties corpus regredi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13483 tur ad locum priorem, Medium inde repelletur & ad locum $uum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13484 priorem redibit. Et quamvis corpus tremulum non $it firmum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13485 $ed modis omnibus flexile, $i tamen magnitudine datum maneat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13486 quoniam tremoribus $uis nequit Medium ubivis urgere, quin alibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13487 eidem $imul cedat; efficiet ut Medium, recedendo a partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13488 ubi premitur, pergat $emper in orbem ad partes quæ eidem ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13489 dunt <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13490 <p><I>Corol.</I> Hallucinantur igitur qui credunt agitationem partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13491 Flammæ ad pre$$ionem, per Medium ambiens, $ecundum lineas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13492 rectas propagandam conducere. Debebit eju$modi pre$$io non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13493 ab agitatione $ola partium Flammæ, $ed a totius dilatatione deri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13494 vari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13495 <C>PROPOSITIO XLIV. THEOREMA XXXV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13496 <p><I>Si aqua in Canalis oruribus erectis</I> KL, MN <I>vicibus alternis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13497 a$cendat & de$cendat; con$truatur autem Pendulum cujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13498 longitudo inter punctum $u$pen$ionis & centrum o$cillationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13499 æquetur $emi$$i longitudinis aquæ in Canali: dico quod aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13500 a$cendet & de$cendet ii$dem temporibus quibus Pendulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13501 o$cillatur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13502 <p>Longitudinem aquæ men$uro $ecundum axes canalis & crurum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13503 eandem $ummæ horum axium æquando; & re$i$tentiam aquæ quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13504 <pb n=335>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13505 oritur ab attritu canalis, hic non con$idero. De$ignent igitur <I>AB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13506 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13507 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13508 CD</I> mediocrem altitudinem aquæ in crure utroque; & ubi aqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13509 in crure <I>KL</I> a$cendit ad altitudinem <I>EF,</I> de$cenderit aqua in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13510 crure <I>MN</I> ad altitudinem <I>GH.</I> Sit autem <I>P</I> corpus pendulum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13511 <I>VP</I> filum, <I>V</I> punctum $u$pen$ionis, <I>SPQR</I> Cyclois quam Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13512 dulum de$cribat, <I>P</I> ejus punctum infimum, <I>PQ</I> arcus altitudini
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13513 <I>AE</I> æqualis. Vis, qua motus aquæ alternis vicibus acceleratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13514 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13515 & retardatur, e$t exce$$us ponderis aquæ in alterutro crure $upra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13516 pondus in altero, ideoque, ubi aqua in crure <I>KL</I> a$cendit ad <I>EF,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13517 & in crure altero de$cendit ad <I>GH,</I> vis illa e$t pondus duplica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13518 tum aquæ <I>EABF,</I> & propterea e$t ad pondus aquæ totius ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13519 <I>AE</I> $eu <I>PQ</I> ad <I>VP</I> $eu <I>PR.</I> Vis etiam, qua pondus <I>P</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13520 loco quovis <I>Q</I> acceleratur & retardatur in Cycloide, (per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13521 Prop. LI.) e$t ad ejus pondus totum, ut ejus di$tantia <I>YQ</I> a loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13522 infimo <I>P,</I> ad Cycloidis longitudinem <I>PR.</I> Quare aquæ & pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13523 duli, æqualia $patia <I>AE, PQ</I> de$cribentium, vires motrices $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13524 ut pondera movenda; ideoque, $i aqua & pendulum in princi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13525 pio quie$cunt, vires illæ movebunt eadem æqualiter tempori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13526 bus æqualibus, efficientque ut motu reciproco $imul eant & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13527 deant. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13528 <p><I>Corol.</I> 1. Igitur aquæ a$cendentis & de$cendentis, $ive motus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13529 ten$ior $it $ive remi$$ior, vices omnes $unt I$ochronæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13530 <p><I>Corol.</I> 2. Si longitudo aquæ totius in canall $it pedum <I>Pari$ien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13531 $ium</I> 6 1/9: aqua tempore minuti unius $ecundi de$cendet, & tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13532 pore minuti alterius $ecundi a$cendet; & $ic deinceps vicibus al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13533 ternis in infinitum. Nam pendulum pedum (3 1/18) longitudinis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13534 tempore minuti unius $ecundi o$cillatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13535 <pb n=336>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13536 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13537 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13538 <p><I>Corol.</I> 3. Aucta autem vel diminuta longitudine aquæ, auge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13539 tur vel diminuitur tempus reciprocationis in longitudinis ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13540 $ubduplicata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13541 <C>PROPOSITIO XLV. THEOREMA XXXVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13542 <C><I>Undarum velocitas e$t in $ubduplicata ratione latitudinum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13543 <p>Con$equitur ex con$tructione Propo$itionis $equentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13544 <C>PROPOSITIO XLVI. PROBLEMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13545 <C><I>Invenire velocitatem Undarum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13546 <p>Con$tituatur Pendulum cujus longitudo, inter punctum $u$pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13547 $ionis & centrum o$cillationis, æquetur latitudini Undarum: & quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13548 tempore pendulum illud o$cillationes $ingulas peragit, eodem Un-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13549 dæ progrediendo latitudinem $uam propemodum conficient.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13550 <p>Undarum latitudinem voco men$uram tran$ver$am, quæ vel val-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13551 libus imis, vel $ummis culminibus interjacet. De$ignet <I>ABCDEF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13552 $uperficiem aquæ $tagnantis, undis $ucce$$ivis a$cendentem ac de$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13553 cendentem; $intque <I>A, C, E,</I> &c. undarum culmina, & <I>B, D, F,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13554 valles intermedii. Et quoniam motus undarum fit per aquæ $uc-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13555 ce$$ivum a$cen$um & de$cen$um, $ic ut ejus partes <I>A, C, E,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13556 quæ nunc alti$$imæ $unt, mox fiant in$imæ; & vis motrix, qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13557 partes alti$$imæ de$cendunt & infimæ a$cendunt, e$t pondus aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13558 elevatæ; alternus ille a$cen$us & de$cen$us analogus erit motui re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13559 ciproco aquæ in canali, ea$demque temporis leges ob$ervabit: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13560 propterea (per Prop. XLIV) $i di$tantiæ inter undarum loca alti$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13561 $ima <I>A, C, E</I> & infima <I>B, D, F</I> æquentur duplæ penduli longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13562 dini; partes alti$$imæ <I>A, C, E,</I> tempore o$cillationis unius evadent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13563 infircæ, & tempore o$cillationis alterius denuo a$cendent. Igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13564 inter tran$itum Undarum $ingularum tempus erit o$cillationum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13565 duarum; hoc e$t, Unda de$cribet latitudinem $uam, quo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13566 pendulum illud bis o$cillatur; $ed eodem tempore pendulum, cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13567 jus longitudo quadrupla e$t, adeoque æquat undarum latitudinem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13568 o$cillabitur $emel. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13569 <p><I>Corol.</I> 1. Igitur Undæ, quæ pedes <I>Pari$ien$es</I> (3 1/18) latæ $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13570 tempore minuti unius $ecundi progrediendo latitudinem $uam con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13571 ficient; adeoque tempore minuti unius primi percurrent pedes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13572 183 1/3, & horæ $patio pedes 11000 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13573 <pb n=337>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13574 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13575 <p><I>Corol.</I> 2. Et undarum majorum vel minorum ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13576 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13577 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13578 locitas augebitur vel diminuetur in $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13579 rationc latitudinis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13580 <p>Hæc ita $e habent ex Hypothe$i quod partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13581 aquæ recta a$cendunt vel recta de$cendunt; $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13582 a$cen$us & de$cen$us ille verius fit per circulum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13583 ideoque tempus hac Propo$itione non ni$i quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13584 proxime definitum e$$e affirmo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13585 <C>PROP. XLVII. THEOR. XXXVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13586 <p><I>Pul$ibus per Fluidum propagatis, $ingulæ Fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13587 particulæ, motu reciproco brevi$$imo euntes &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13588 redeuntes, accelerantur $emper & retardantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13589 pro lego o$cillantis Penduli.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13590 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13591 <p>De$ignent <I>AB, BC, CD,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13592 &c. pul$uum $ucce$$ivorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13593 æquales di$rantias; <I>ABC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13594 plagam motus pul$uum ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13595 <I>A</I> ver$us <I>B</I> propagati; <I>E,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13596 F, G</I> puncta tria Phy$ica Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13597 dii quie$centis, in recta <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13598 ad æquales ab invicem di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13599 $tantias $ita; <I>Ee, Ff, Gg,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13600 $patia æqualia perbrevia per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13601 quæ puncta illa motu reciproco $ingulis vibratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13602 nibus eunt & redeunt; <G>e, f, g</G> loca quævis inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13603 media eorundem punctorum; & <I>EF, FG</I> lineolas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13604 Phy$icas $eu Medii partes lineares punctis illis in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13605 terjectas, & $ucce$$ive tran$latas in loca <G>ef, fg</G> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13606 <I>ef, fg.</I> Rectæ <I>Ee</I> æqualis ducatur recta <I>PS.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13607 Bi$ecetur eadem in <I>O,</I> centroque <I>O</I> & intervallo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13608 <I>OP</I> de$cribatur circulus <I>SIPi.</I> Per hujus cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13609 cumferentiam totam cum partibus $uis exponatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13610 tempus totum vibrationis unius cum ip$ius parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13611 bus proportionalibus; $ic ut completo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13612 quovis <I>PH</I> vel <I>PHSh,</I> $i demittatur ad <I>PS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13613 perpendiculum <I>HL</I> vel <I>hl,</I> & capiatur <I>E</I><G>e</G> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13614 lis <I>PL</I> vel <I>Pl,</I> punctum Phy$icum <I>E</I> reperiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13615 <pb n=338>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13616 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13617 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13618 in <G>e</G>. Hac lege punctum quodvis <I>E,</I> eundo ab <I>E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13619 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13620 per <G>e</G> ad <I>e,</I> & inde redeundo per <G>e</G> ad <I>E,</I> ii$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13621 accelerationis ac retardationis gradibus vibratio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13622 nes $ingulas peraget cum o$cillante Pendulo. Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13623 bandum e$t quod $ingula Medii puncta Phy$ica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13624 tali motu agitari debeant. Fingamus igitur Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13625 dium tali motu a cau$a quacunque cieri, & videa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13626 mus quid inde $equatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13627 <p>In circumferentia <I>PHSh</I> capiantur æquales ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13628 cus <I>HI, IK</I> vel <I>hi, ik,</I> eam habentes rationem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13629 ad circumferentiam totam quam habent æquales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13630 rectæ <I>EF, FG</I> ad pul$uum intervallum totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13631 <I>BC.</I> Et demi$$is perpendiculis <I>IM, KN</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13632 <I>im, kn</I>; quoniam puncta <I>E, F, G</I> motibus $imili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13633 bus $ucce$$ive agitantur, & vibrationes $uas integras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13634 ex itu & reditu compo$itas interea peragunt dum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13635 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13636 pul$us transfertur a <I>B</I> ad <I>C</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13637 $i <I>PH</I> vel <I>PHSh</I> $it tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13638 pus ab initio motus puncti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13639 <I>E,</I> erit <I>PI</I> vel <I>PHSi</I> tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13640 pus ab initio motus puncti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13641 <I>F,</I> & <I>PK</I> vel <I>PHSk</I> tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13642 pus ab initio motus puncti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13643 <I>G</I>; & propterea <I>E<G>e</G>, F<G>f</G>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13644 G</I><G>g</G> erunt ip$is <I>PL, PM,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13645 PN</I> in itu punctorum, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13646 ip$is <I>Pl, Pm, Pn</I> in punctorum reditu, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13647 les re$pective. Unde <G>eg</G> $eu <I>EG+G<G>g</G>-E</I><G>e</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13648 in itu punctorum æqualis erit <I>EG-LN,</I> in re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13649 ditu autem æqualis <I>EG+ln.</I> Sed <G>eg</G> latitudo e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13650 $eu expan$io partis Medii <I>EG</I> in loco <G>eg</G>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13651 propterea expan$io partis illius in itu, e$t ad ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13652 expan$ionem mediocrem, ut <I>EG-LN</I> ad <I>EG</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13653 in reditu autem ut <I>EG+ln</I> $eu <I>EG+LN</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13654 <I>EG.</I> Quare cum $it <I>LN</I> ad <I>KH</I> ut <I>IM</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13655 radium <I>OP,</I> & <I>KH</I> ad <I>EG</I> ut circumferentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13656 <I>PHShP</I> ad <I>BC,</I> id e$t ($i ponatur V pro ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13657 dio circuli circumferentiam habentis æqualem in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13658 tervallo pul$uum <I>BC</I>) ut <I>OP</I> ad V; & ex æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13659 quo <I>LN</I> ad <I>EG,</I> ut <I>IM</I> ad V: erit expan$io
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13660 partis <I>EG</I> punctive Phy$ici <I>F</I> in loco <G>eg</G>, ad ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13661 <pb n=339>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13662 pan$ionem mediocrem quam pars illa habet in loco $uo primo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13663 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13664 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13665 <I>EG,</I> ut V-<I>IM</I> ad V in itu, utque V+<I>im</I> ad V in reditu. Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13666 vis ela$tica puncti <I>F</I> in loco <G>eg</G>, e$t ad vim ejus ela$ticam medio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13667 crem in loco <I>EG,</I> ut (I/V-<I>IM</I>) ad I/V in itu, in reditu vero ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13668 (I/V+<I>im</I>) ad I/V. Et eodem argumento vires ela$ticæ punctorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13669 Phy$icorum <I>E</I> & <I>G</I> in itu, $unt ut (I/V-<I>HL</I>) & (I/V-<I>KN</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13670 ad I/V; & virium differentia ad Medii vim ela$ticam mediocrem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13671 ut (<I>HL-KN</I>/VV-VX<I>HL</I>-VX<I>KN+HLXKN</I>) ad I/V. Hoc e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13672 (<I>HL-KN</I>/VV) ad I/V, $ive ut <I>HL-KN</I> ad V, $i modo (ob angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13673 $tos limites vibrationum) $upponamus <I>HL</I> & <I>KN</I> indefinite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13674 minores e$$e quantitate V. Quare cum quantitas V detur, diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13675 rentia virium e$t ut <I>HL-KN,</I> hoc e$t (ob proportionales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13676 <I>HL-KN</I> ad <I>HK,</I> & <I>OM</I> ad <I>OI</I> vel <I>OP,</I> data$que <I>HK</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13677 <I>OP</I>) ut <I>OM</I>; id e$t, $i <I>Ff</I> bi$ecetur in <G>w</G>, ut <G>wf</G>. Et eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13678 argumento differentia virium ela$ticarum punctorum Phy$icorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13679 <G>e</G> & <G>g</G>, in reditu lineolæ Phy$icæ <G>eg</G> e$t ut <G>*wf</G>. Sed differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13680 illa (id e$t, exce$$us vis ela$ticæ puncti <G>e</G> $upra vim ela$ticam pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13681 cti <G>g</G>,) e$t vis qua interjecta Medii lineola Phy$ica <G>eg</G> acceleratur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13682 & propterea vis acceleratrix lineolæ Phy$icæ <G>eg</G>, e$t ut ip$ius di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13683 $tantia a medio vibrationis loco <G>*w</G>. Proinde tempus (per Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13684 XXXVIII. Lib. 1.) recte exponitur per arcum <I>PI</I>; & Medii pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13685 linearis <G>eg</G> lege præ$cripta movetur, id e$t, lege o$cillantis Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13686 duli: e$tque par ratio partium omnium linearium ex quibus Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13687 dium totum componitur. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13688 <p><I>Corol.</I> Hinc patet quod numerus pul$uum propagatorum idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13689 $it cum numero vibrationum corporis tremuli, neque multiplica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13690 tur in eorum progre$$u. Nam lineola Phy$ica <G>eg</G>, quamprimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13691 ad locum $uum primum redierit, quie$cet; neque deinceps move-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13692 bitur, ni$i vel ab impetu corporis tremuli, vel ab impetu pul$uum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13693 qui a corpore tremulo propagantur, motu novo cieatur. Quie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13694 $cet igitur quamprimum pul$us a corpore tremulo propagari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13695 de$inunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13696 <pb n=340>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13697 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13698 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13699 <C>PROPOSITIO XLVIII. THEOREMA XXXVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13700 <p><I>Pul$uum in Fluido Ela$tico propagatorum velocitates, $unt in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13701 tione compo$ita ex $ubduplicata ratione vis Ela$ticæ directe &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13702 $ubduplicata ratione den$itatis inver$e; $i modo Fluidi vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13703 Ela$tica eju$dem conden$ationi proportionalis e$$e $upponatur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13704 <p><I>Ca$.</I> 1. Si Media $int homogenea, & pul$uum di$tantiæ in his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13705 Mediis æquentur inter $e, $ed motus in uno Medio inten$ior $it:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13706 contractiones & dilatationes partium analogarum erunt ut iidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13707 motus. Accurata quidem non e$t hæc proportio. Verum tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13708 ni$i contractiones & dilatationes $int valde inten$æ, non errabit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13709 $en$ibiliter, ideoque pro Phy$ice accurata haberi pote$t. Sunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13710 autem vires Ela$ticæ motrices ut contractiones & dilatationes; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13711 velocitates partium æqualium $imul genitæ $unt ut vires. Ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13712 æquales & corre$pondentes pul$uum corre$pondentium partes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13713 itu⋅ & reditus $uos per $patia contractionibus & dilatationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13714 proportionalia, cum velocitatibus quæ $unt ut $patia, $imul pera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13715 gent: & propterea pul$us, qui tempore itus & reditus unius lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13716 tudinem $uam progrediendo conficiunt, & in loca pul$uum pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13717 xime præcedentium $emper $uccedunt, ob æqualitatem di$tantia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13718 rum, æquali cum velocitate in Medio utroque progredientur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13719 <p><I>Ca$.</I> 2. Sin pul$uum di$tantiæ $eu longitudines $int majores in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13720 uno Medio quam in altero; ponamus quod partes corre$ponden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13721 tes $patia latitudinibus pul$uum proportionalia $ingulis vicibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13722 eundo & redeundo de$cribant: & æquales erunt earum contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13723 ctiones & dilatationes. Ideoque $i Media $int homogenea, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13724 les erunt etiam vires illæ Ela$ticæ motrices quibus reciproco motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13725 agitantur. Materia autem his viribus movenda, e$t ut pul$uum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13726 latitudo; & in eadem ratione e$t $patium per quod $ingulis vici-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13727 bus eundo & redeundo moveri debent. E$tque tempus itus &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13728 reditus unius in ratione compo$ita ex ratione $ubduplicata mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13729 riæ & ratione $ubduplicata $patii, atque adeo ut $patium. Pul$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13730 autem temporibus itus & reditus unius eundo latitudines $uas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13731 conficiunt, hoc e$t, $patia temporibus proportionalia percurrunt;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13732 & propterea $unt æquiveloces.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13733 <p><I>Ca$</I> 3 In Mediis igitur den$itate & vi Ela$tica paribus, pul$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13734 omnes $unt æquiveloces. Quod $i Medii vel den$itas vel vis Ela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13735 $tica intendatur, quoniam vis motrix in ratione vis Ela$ticæ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13736 materia movenda in ratione den$itatis augetur; tempus quo mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13737 <pb n=341>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13738 tus iidem peragantur ac prius, augebitur in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13739 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13740 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13741 den$itatis, ac diminuetur in $ubduplicata ratione vis Ela$ticæ. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13742 propterea velocitas pul$uum erit in ratione compo$ita ex ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13743 $ubduplicata den$itatis Medii inver$e & ratione $ubduplicata vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13744 Ela$ticæ directe. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13745 <p>Hæc Propo$itio ulterius patebit ex con$tructione $equentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13746 <C>PROPOSITIO XLIX. PROBLEMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13747 <p><I>Datis Medii den$itate & vi Ela$tica, invenire velocitatem pul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13748 $uum.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13749 <p>Fingamus Medium ab incumbente pondere, pro more Aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13750 no$tri comprimi; $itque A altitudo Medii homogenei, cujus pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13751 dus adæquet pondus incumbens, & cujus den$itas eadem $it cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13752 den$itate Medii compre$$i, in quo pul$us propagantur. Con$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13753 tui autem intelligatur Pendulum, cujus longitudo inter punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13754 $u$pen$ionis & centrum o$cillationis $it A: & quo tempore Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13755 dulum illud o$cillationem integram ex itu & reditu compo$itam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13756 peragit, eodem pulfus eundo conficiet $patium circumferentiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13757 circuli radio A de$cripti æquale.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13758 <p>Nam $tantibus quæ in Propo$itione XLVII con$tructa $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13759 $i linea quævis Phy$ica <I>EF,</I> $ingulis vibrationibus de$cribendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13760 $patium <I>PS,</I> urgeatur in extremis itus & reditus cuju$que locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13761 <I>P</I> & <I>S,</I> a vi Ela$tica quæ ip$ius ponderi æquetur; peraget hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13762 vibrationes $ingulas quo tempore eadem in Cycloide, cujus peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13763 meter tota longitudini <I>PS</I> æqualis e$t, o$cillari po$$et: id adeo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13764 quia vires æquales æqualia corpu$cula per æqualia $patia $imul im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13765 pellent. Quare cum o$cillationum tempora $int in $ubduplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13766 ratione longitudinis Pendulorum, & longitudo Penduli æquetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13767 dimidio arcui Cycloidis totius; foret tempus vibrationis unius ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13768 tempus o$cillationis Penduli cujus longitudo e$t A, in $ubdupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13769 cata ratione longitudinis 1/2 <I>PS</I> $eu <I>PO</I> ad longitudinem A. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13770 vis Ela$tica qua lineola Phy$ica <I>EG,</I> in locis $uis extremis <I>P, S</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13771 exi$tens, urgetur, erat (in demon$tratione Propo$itionis XLVII)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13772 ad ejus vim totam Ela$ticam ut <I>HL-KN</I> ad V, hoc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13773 (cum punctum <I>K</I> jam incidat in <I>P</I>) ut <I>HK</I> ad V: & vis illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13774 tota, hoc e$t pondus incumbens, quo lineola <I>EG</I> comprimitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13775 e$t ad pondus lineolæ ut ponderis incumbentis altitudo A ad line-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13776 olæ longitudinem <I>EG</I>; adeoque ex æquo, vis qua lineola <I>EG</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13777 locis $uis <I>P</I> & <I>S</I> urgetur, e$t ad lineolæ illius pondus ut <I>HK</I>XA
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13778 ad VX<I>EG,</I> $ive ut <I>PO</I>XA ad VV, nam <I>HK</I> erat ad <I>EG</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13779 <pb n=342>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13780 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13781 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13782 <I>PO</I> ad V. Quare cum tempora, quibus æqualia corpora per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13783 æqualia $patia impelluntur, $int reciproce in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13784 virium, erit tempus vibrationis unius urgente vi illa Ela$tica, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13785 tempus vibrationis urgente vi ponderis, in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13786 VV ad <I>PO</I>XA, atque adeo ad tempus o$cillationis Penduli cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13787 jus longitudo e$t A, in $ubduplicata ratione VV ad <I>PO</I>XA, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13788 $ubduplicata ratione <I>PO</I> ad A conjunctim; id e$t, in ratione in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13789 tegra V ad A. Sed tempore vibrationis unius ex itu & reditu com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13790 po$itæ, pul$us progrediendo conficit latitudinem $uam <I>BC.</I> Ergo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13791 tempus quo pul$us percurrit $patium <I>BC,</I> e$t ad tempus o$cillati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13792 onis unius ex itu & reditu compo$itæ, ut V ad A, id e$t, ut <I>BC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13793 ad circumferentiam circuli cujus radius e$t A. Tempus autem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13794 quo pul$us percurret $patium <I>BC,</I> e$t ad tempus quo percurret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13795 longitudinem huic circumferentiæ æqualem, in eadem ratione;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13796 ideoque tempore talis o$cillationis pul$us percurret longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13797 huic circumferentiæ æqualem. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13798 <p><I>Corol.</I> 1. Velocitas pul$uum ea e$t quam acquirunt Gravia, æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13799 liter accelerato motu cadendo, & ca$u $uo de$cribendo dimidium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13800 altitudinis A. Nam tempore ca$us hujus, cum velocitate cadendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13801 acqui$ita, pul$us percurret $patium quod erit æquale toti altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13802 dini A, adeoque tempore o$cillationis unius ex itu & reditu com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13803 po$itæ, percurret $patium æquale circumferentiæ circuli radio A
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13804 de$cripti: e$t enim tempus ca$us ad tempus o$cillationis ut radius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13805 circuli ad eju$dem circumferentiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13806 <p><I>Corol.</I> 2. Unde cum altitudo illa A $it ut Fluidi vis Ela$tica di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13807 recte & den$itas eju$dem inver$e; velocitas pul$uum erit in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13808 compo$ita ex $ubduplicata ratione den$itatis inver$e & $ubdupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13809 cata ratione vis Ela$ticæ directe.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13810 <C>PROPOSITIO L. PROBLEMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13811 <C><I>Invenire pul$uum di$tantias.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13812 <p>Corporis, cujus tremore pul$us excitantur, inveniatur numerus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13813 Vibrationum dato tempore. Per numerum illum dividatur $pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13814 tium quod pul$us eodem tempore percurrere po$$it, & pars in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13815 venta erit pul$us unius latitudo. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13816 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13817 <p>Spectant Propo$itiones novi$$imæ ad motum Lucis & Sonorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13818 Lux enim cum propagetur $ecundum lineas rectas, in actione $ola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13819 <pb n=343>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13820 (per Prop. XLI. & XLII.) con$i$tere nequit. Soni vero propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13821 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13822 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13823 quod a corporibus tremulis oriantur, nihil aliud $unt quam aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13824 pul$us propagati, per Prop. XLIII. Confirmatur id ex tremoribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13825 quos excitant in corporibus objectis, $i modo vehementes $int &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13826 graves, quales $unt $oni Tympanorum. Nam tremores celeriores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13827 & breviores difficilius excitantur. Sed & $onos quo$vis, in chor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13828 das corporibus $onoris uni$onas impactos, exeitare tremores noti$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13829 $imum e$t. Confirmatur etiam ex velocitate $onorum. Nam cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13830 pondera $peci$ica Aquæ pluvialis & Argenti vivi $int ad invicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13831 ut 1 ad 13 2/3 circiter, & ubi Mercurius in <I>Barometro</I> altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13832 attingit digitorum <I>Anglicorum</I> 30, pondus $pecificum Aeris &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13833 aquæ pluvialis $int ad invicem ut 1 ad 870 circiter: erunt pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13834 dera $pecifica aeris & argenti vivi ut 1 ad 11890. Proinde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13835 altitudo argenti vivi $it 30 digitorum, altitudo aeris uniformis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13836 cujus pondus aerem no$trum $ubjectum comprimere po$$et, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13837 356700 digitorum, $eu pedum <I>Anglicorum</I> 29725. E$tque hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13838 altitudo illa ip$a quam in con$tructione $uperioris Problematis no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13839 minavimus A. Circuli radio 29725 pedum de$cripti circumferen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13840 tia e$t pedum 186768. Et cum Pendulum digitos 39 1/5 longum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13841 o$cillationem ex itu & reditu compo$itam, tempore minutorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13842 duorum $ecundorum, uti notum e$t, ab$olvat; Pendulum pedes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13843 29725, $eu digitos 356700 longum, o$cillationem con$imilem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13844 pore minutorum $ecundorum 190 3/4 ab$olvere debebit. Eo igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13845 tempore $onus progrediendo con$iciet pedes 186768, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13846 tempore minuti unius $ecundi pedes 979.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13847 <p>Cæterum in hoc computo nulla habetur ratio cra$$itudinis $oli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13848 darum particularum aeris, per quam $onus utique propagatur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13849 in$tanti. Cum pondus aeris $it ad pondus aquæ ut 1 ad 870, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13850 $ales $int fere duplo den$iores quam aqua; $i particulæ aeris po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13851 nantur e$$e eju$dem circiter den$itatis cum particulis vel aquæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13852 vel $alium, & raritas aeris oriatur ab intervallis particularum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13853 diameter particulæ aeris erit ad intervallum inter centra parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13854 cularum, ut 1 ad 9 vel 10 circiter, & ad intervallum inter par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13855 ticulas ut 1 ad 8 vel 9. Proinde ad pedes 979 quos $onus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13856 pore minuti unius $ecundi juxta calculum $uperiorem conficiet,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13857 addere licet pedes (979/9) $eu 109 circiter, ob cra$$itudinem particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13858 larum aeris: & $ie $onus tempore minuti unius $ecundi conficiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13859 pedes 1088 circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13860 <p>His adde quod vapores in aere latentes, cum $int alterius ela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13861 teris & alterius toni, vix aut ne vix quidem participant motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13862 aeris veri quo $oni propagantur. His autem quie$centibus, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13863 <pb n=344>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13864 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13865 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13866 tus ille celerius propagabitur per $olum aerem verum, idque in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13867 $ubduplicata ratione minoris materiæ. Ut $i Atmo$phæra con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13868 $tet ex decem partibus aeris veri & una parte vaporum, motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13869 $onorum celerior erit in $ubduplicata ratione 11 ad 10, vel in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13870 tegra circiter ratione 21 ad 20, quam $i propagaretur per undecim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13871 partes aeris veri: ideoque motus $onorum $upra inventus, augen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13872 dus erit in hac ratione. Quo pacto $onus, tempore minuti unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13873 $ecundi, con$ieiet pedes 1142.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13874 <p>Hæc ita $e habere debent tempore verno & autumnali, ubi aer
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13875 per calorem temperatum rare$cit & ejus vis ela$tica nonnihil in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13876 tenditur. At hyberno tempore, ubi aer per frigus conden$atur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13877 & ejus vis ela$tica remittitur, motus $onorum tardior e$$e debet in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13878 $ubduplicata ratione den$itatis; & vici$$im æ$tivo tempore debet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13879 e$$e velocior.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13880 <p>Con$tat autem per experimenta quod $oni tempore minuti uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13881 us $ecundi eundo, conficiunt pedes <I>Londinen$es</I> plus minus 1142,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13882 <I>Pari$ien$es</I> vero 1070.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13883 <p>Cognita $onorum velocitate innote$cunt etiam intervalla pul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13884 $uum. Invenit utique <I>D. Sauveur</I> (factis a $e experimentis) quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13885 fi$tula aperta, cujus longitudo e$t pedum <I>Pari$ien$ium</I> plus minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13886 quinque, $onum edit eju$dem toni cum $ono chordæ quæ tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13887 minuti unius $ecundi centies recurrit. Sunt igitur pul$us plus mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13888 nus centum in $patio pedum <I>Pari$ien$ium</I> 1070, quos $onus tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13889 pore minuti unius $ecundi percurrit; adeoque pul$us unus occu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13890 pat $patium pedum <I>Pari$ien$ium</I> qua$i 10 (7/10), id e$t, duplam circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13891 ter longitudinem fi$tulæ. Unde ver$imile e$t quod latitudines
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13892 pul$uum, in omnium apertarum fi$tularum $onis, æquentur duplis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13893 longitudinibus fi$tularum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13894 <p>Porro cur $oni ce$$ante motu corporis $onori $tatim ce$$ant, ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13895 que diutius audiuntur ubi longi$$ime di$tamus a corporibus $ono-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13896 ris, quam cum proxime ab$umus, patet ex Corollario Propo$itio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13897 nis XLVII Libri hujus. Sed & cur $oni in Tubis $tenterophoni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13898 cis valde augentur, ex allatis principiis manife$tum e$t. Motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13899 enim omnis reciprocus $ingulis recur$ibus a cau$a generante augeri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13900 $olet. Motus autem in Tubis dilatationem $onorum impedienti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13901 bus, tardius amittitur & fortius recurrit, & propterea a motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13902 novo $ingulis recur$ibus impre$$o, magis augetur. Et hæc $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13903 præcipua Phænomena Sonorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13904 <pb n=345>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13905 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13906 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13907 <C>SECTIO IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13908 <C><I>De motu Circulari Fluidorum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13909 <C>HYPOTHESIS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13910 <p><I>RE$i$tentiam, quæ oritur ex defectu lubricitatis partium Fluidi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13911 cæteris paribus, proportionalem e$$e velocitati, qua partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13912 Fluidi $eparantur ab invicem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13913 <C>PROPOSITION LI. THEOREMA XXXIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13914 <p><I>Si Cylindrus $olidus infinite longus in Fluido uniformi & infinito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13915 circa axem po$itione datum uniformi cum motu revolvatur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13916 ab hujus impul$u $olo agatur Fluidum in orbem, per$everet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13917 autera Fluidi pars unaquæque uniformiter in motu $uo; dico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13918 quod tempora periodica partium Fluidi $unt ut ip$arum di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13919 ab axe Cylindri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13920 <p>Sit <I>AFL</I> Cylindrus uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13921 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13922 formiter circa axem <I>S</I> in or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13923 bem actus, & circulis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13924 centricis <I>BGM, CHN,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13925 DIO, EKP,</I> &c. di$tin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13926 guatur Fluidum in Orbes cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13927 lindricos innumeros concen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13928 tricos $olidos eju$dem cra$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13929 tudinis. Et quoniam homo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13930 geneum e$t Fluidum, im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13931 pre$$iones contiguorum Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13932 bium in $e mutuo factæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13933 erunt (per Hypothe$in) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13934 eorum tran$lationes ab invicem & $uperficies contiguæ in quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13935 impre$$iones fiunt. Si impre$$io in Orbem aliquem major e$t vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13936 <pb n=346>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13937 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13938 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13939 minor ex parte concava quam ex parte convexa; prævalebit im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13940 pre$$io fortior, & motum Orbis vel accelerabit vel retardabit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13941 prout in eandem regionem cum ip$ius motu vel in contrariam di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13942 rigitur. Proinde ut Orbis unu$qui$que in motu $uo uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13943 per$everet, debent impre$$iones ex parte utraque $ibi invicem æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13944 ri, & fieri in regiones contrarias. Unde cum impre$$iones $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13945 contiguæ $uperficies & harum tran$lationes ab invicem, erunt tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13946 $lationes inver$e ut $uperficies, hoc e$t, inver$e ut $uperficierum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13947 $tantiæ ab axe. Sunt autem differentiæ motuum angularium circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13948 axem ut hæ tran$lationes applicatæ ad di$tantias, $ive ut tran$lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13949 ones directe & di$tantiæ inver$e; hoc e$t (conjunctis rationibus)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13950 ut quadrata di$tantiarum inver$e. Quare $i ad infinitæ rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13951 <I>SABCDEQ</I> partes $in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13952 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13953 gulas erigantur perpendicula
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13954 <I>Aa, Bb, Cc, Dd, Ee,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13955 ip$arum <I>SA, SB, SC, SD,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13956 SE,</I> &c. quadratis reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13957 proportionalia, & per ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13958 minos perpendicularium du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13959 ci intelligatur linea curva
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13960 Hyperbolica; erunt $ummæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13961 differentiarum, hoc e$t, mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13962 tus toti angulares, ut re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13963 $pondentes $ummæ linearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13964 <I>Aa, Bb, Cc, Dd, Ee</I>: id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13965 e$t, $i ad con$tituendum Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13966 dium uniformiter fluidum, Orbium numerus augeatur & latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13967 minuatur in infinitum, ut areæ Hyperbolicæ his $ummis analogæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13968 <I>AaQ, BbQ, CcQ, DdQ, EeQ,</I> &c. Et tempora motibus an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13969 gularibus reciproce proportionalia, erunt etiam his areis reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13970 proportionalia. E$t igitur tempus periodicum particulæ cuju$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13971 <I>D</I> reciproce ut area <I>DdQ,</I> hoc e$t, (per notas Curvarum qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13972 draturas) directe ut di$tantia <I>SD. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13973 <p><I>Corol.</I> 1. Hinc motus angulares particularum fluidi $unt reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13974 proce ut ip$arum di$tantiæ ab axe cylindri, & velocitates ab$o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13975 lutæ $unt æquales.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13976 <p><I>Corol.</I> 2. Si fluidum in va$e cylindrico longitudinis infinitæ con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13977 tineatur, & cylindrum alium interiorem contineat, revolvatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13978 autem cylindrus uterque circa axem communem, $intque revolu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13979 <pb n=347>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13980 tionum tempora ut ip$orum $emidiametri, & per$everet fluidi pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13981 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13982 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13983 unaquæque in motu $uo: erunt partium $ingularum tempora peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13984 odica ut ip$arum di$tantiæ ab axe cylindrorum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13985 <p><I>Corol.</I> 3. Si cylindro & fluido ad hunc modum motis addatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13986 vel auferatur communis quilibet motus angularis; quoniam hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13987 novo motu non mutatur attritus mutuus partium fluidi, non mu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13988 tabuntur motus partium inter $e. Nam tran$lationes partium ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13989 invicem pendent ab attritu. Pars quælibet in eo per$everabit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13990 motu, qui, attritu utrinque in contrarias partes facto, non magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13991 acceleratur quam retardatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13992 <p><I>Corol.</I> 4. Unde $i toti cylindrorum & fluidi Sy$temati auferatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13993 motus omnis angularis cylindri exterioris, habebitur motus fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13994 in cylindro quie$cente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13995 <p><I>Corol.</I> 5. Igitur $i fluido & cylindro exteriore quie$centibus, re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13996 volvatur cylindrus interior uniformiter; communicabitur motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13997 circularis fluido, & paulatim per totum fluidum propagabitur;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13998 nec prius de$inet augeri quam fluidi partes $ingulæ motum Corol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	13999 lario quarto definitum acquirant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14000 <p><I>Corol.</I> 6. Et quoniam fluidum conatur motum $uum adhuc latius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14001 propagare, hujus impetu circumagetur etiam cylindrus exterior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14002 ni$i violenter detentus; & accelerabitur ejus motus quoad u$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14003 tempora periodica cylindri utriu$que æquentur inter $e. Quod $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14004 cylindrus exterior violenter detineatur, conabitur is motum fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14005 retardare; & ni$i cylindrus interior vi aliqua extrin$ecus impre$$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14006 motum illum con$ervet, efficiet ut idem paulatim ce$$et.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14007 <p>Quæ omnia in Aqua profunda $tagnante experiri licet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14008 <C>PROPOSITIO LII. THEOREMA XL.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14009 <p><I>Si Sphæra $olida, in Fluido uniformi & infinito, circa axem po$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14010 tione datum uniformi cum motu revolvatur, & ab hujus im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14011 pul$u $olo agatur Fluidum in orbem; per$everet autem Fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14012 pars unaquæque uniformiter in motu $uo: dico quod tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14013 pora periodica partium Fluidi erunt ut quadrata di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14014 à centro Sphæræ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14015 <p><I>Cas.</I> 1. Sit <I>AFL</I> Sphæra uniformiter circa axem <I>S</I> in orbem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14016 acta, & circulis concentricis <I>BGM, CHN, DIO, EKP,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14017 <pb n=348>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14018 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14019 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14020 di$tinguatur Fluidum in Orbes innumeros concentricos eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14021 cra$$itudinis. Finge autem Orbes illos e$$e $olidos; & quoniam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14022 homogeneum e$t Fluidum, impre$$iones contiguorum Orbium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14023 $e mutuo factæ, erunt (per Hypothe$in) ut eorum tran$lationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14024 ab invicem & $uperficies contiguæ in quibus impre$$iones fiunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14025 Si impre$$io in Orbem aliquem major e$t vel minor ex parte con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14026 eava quam ex parte convexa; prævalebit impe$$io fortior, & velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14027 citatem Orbis vel accelerabit vel retardabit, prout in eandem regi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14028 onem cum ip$ius motu vel in contrariam dirigitur. Proinde ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14029 Orbis unu$qui$que in motu $uo per$everet uniformiter, debebunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14030 impre$$iones ex parte utraque $ibi invicem æquari, & fieri in re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14031 giones contrarias. Unde cum impre$$iones $int ut contiguæ $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14032 perficies & harum tran$lationes ab invicem; erunt tran$lationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14033 inver$e ut $uperficies, hoc e$t, inver$e ut quadrata di$tantiarum $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14034 perficierum à centro. Sunt autem differentiæ motuum angularium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14035 circa axem ut hæ tran$lationes applicatæ ad di$tantias, $ive ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14036 tran$lationes directe & di$tantiæ inver$e; hoc e$t (conjunctis ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14037 tionibus) ut cubi di$tantiarum inver$e. Quare $i ad rectæ infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14038 nitæ <I>SABCDEQ</I> partes $ingulas erigantur perpendicula <I>Aa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14039 Bb, Cc, Dd, Ee,</I> &c. ip$arum <I>SA, SB, SC, SD, SE,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14040 cubis reciproce proportionalia, erunt $ummæ differentiarum, hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14041 e$t, motus toti angulares, ut re$pondentes $ummæ linearum <I>Aa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14042 Bb, Cc, Dd, Ee</I>: id e$t ($i ad con$tituendum Medium uniformi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14043 ter fluidum, numerus Orbium augeatur & latitudo minuatur in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14044 finitum) ut areæ Hyperbolicæ his $ummis analogæ <I>AaQ, BbQ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14045 CcQ, DdQ, EeQ,</I> &c. Et tempora periodica motibus angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14046 laribus reciproce proportionalia, erunt etiam his areis reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14047 proportionalia. E$t igitur tempus periodicum Orbis cuju$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14048 <I>DIO</I> reciproce ut area <I>DdQ,</I> hoc e$t, (per notas Curvarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14049 quadraturas) directe ut quadratum di$tantiæ <I>SD.</I> Id quod vo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14050 lui primo demon$trare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14051 <p><I>Cas.</I> 2. A centro Sphæræ ducantur infinitæ rectæ quam pluri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14052 mæ, quæ cum axe datos contineant angulos, æqualibus differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14053 tiis $e mutuo $uperantes; & his rectis circa axem revolutis concipe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14054 Orbes in annulos innumeros $ecari; & annulus unu$qui$que habe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14055 bit annulos quatuor $ibi contiguos, unum interiorem, alterum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14056 teriorem & duos laterales. Attritu interioris & exterioris non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14057 pote$t annulus unu$qui$que, ni$i in motu juxta legem ca$us primi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14058 facto, æqualiter & in partes contrarias urgeri. Patet hoc ex de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14059 mon$tratione ca$us primi. Et propterea annulorum $eries quælibet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14060 <pb n=349>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14061 a Globo in infinitum recta pergens, movebitur pro lege ca$us pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14062 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14063 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14064 mi, ni$i quatenus impeditur ab attritu annulorum ad latera. At
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14065 in motu hac lege facto, attritus annulorum ad latera nullus e$t;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14066 neque adeo motum, quo minus hac lege fiat, impediet. Si an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14067 nuli, qui a centro æqualiter di$tant, vel citius revolverentur vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14068 tardius juxta polos quam juxta æquatorem; tardiores accelera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14069 rentur, & velociores retardarentur ab attritu mutuo, & $ic verge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14070 rent $emper tempora periodica ad æqualitatem, pro lege ca$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14071 primi. Non impedit igitur hic attritus quo minus motus fiat $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14072 cundum legem ca$us primi, & propterea lex illa obtinebit: hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14073 e$t, annulorum $ingulorum tempora periodica erunt ut quadrata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14074 di$tantiarum ip$orum à centro Globi. Quod volui $ecundo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14075 mon$trare.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14076 <p><I>Cas.</I> 3. Dividatur jam annulus unu$qui$que $ectionibus tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14077 ver$is in particulas innumeras con$tituentes $ub$tantiam ab$olute
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14078 & uniformiter fluidam; & quoniam hæ $ectiones non $pectant ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14079 legem motus circularis, $ed ad con$titutionem Fluidi $olummodo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14080 conducunt, per$everabit motus circularis ut prius. His $ectionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14081 annuli omnes quam minimi a$peritatem & vim attritus mutui aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14082 non mutabunt aut mutabunt æqualiter. Et manente cau$arum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14083 proportione manebit effectuum proportio, hoc e$t, proportio mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14084 tuum & periodicorum temporum. <I>Q.E.D.</I> Cæterum cum motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14085 circularis, & abinde orta vis centrifuga, major $it ad Eclipticam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14086 quam ad Polos; debebit cau$a aliqua ade$$e qua particulæ $ingulæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14087 in circulis $uis retineantur; ne materia quæ ad Eclipticam e$t, rece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14088 dat $emper à centro & per exteriora Vorticis migret ad Polos, in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14089 deque per axem ad Eclipticam circulatione perpetua revertatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14090 <p><I>Corol.</I> 1. Hinc motus angulares partium fluidi circa axem globi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14091 $unt reciproce ut quadrata di$tantiarum à centro globi, & veloci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14092 tates ab$olutæ reciproce ut eadem quadrata applicata ad di$tantias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14093 ab axe.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14094 <p><I>Corol.</I> 2. Si globus in fluido quie$cente $imilari & infinito circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14095 axem po$itione datum uniformi cum motu revolvatur, communi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14096 cabitur motus fluido in morem Vorticis, & motus i$te paulatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14097 propagabitur in infin tum; neque prius ce$$abit in $ingulis fluidi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14098 partibus accelerari, quam tempora periodica $ingularum partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14099 $int ut quadrata di$tantiarum à centro globi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14100 <p><I>Corol.</I> 3. Quoniam Vorticis partes interiores ob majorem $uam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14101 velocitatem atterunt & urgent exteriores, motumque ip$is ea acti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14102 <pb n=350>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14103 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14104 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14105 one perpetuo communicant, & exteriores illi eandem motus quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14106 titatem in alios adhuc exteriores $imul tranoferunt, eaque actione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14107 $ervant quantitatem motus $ui plane invariatam; patet quod mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14108 tus perpetuo trans$ertur à centro ad circumferentiam Vorticis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14109 per infinitatem circumferentiæ ab$orbetur. Materia inter $phæri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14110 cas duas qua$vis $uperficies Vortici concentricas nunquam accele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14111 rabitur, eo quod motum omnem à materia interiore acceptum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14112 transfert $emper in exteriorem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14113 <p><I>Corol.</I> 4. Proinde ad con$ervationem Vorticis con$tanter in eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14114 dem movendi $tatu, requiritur principium aliquod activum, à quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14115 globus candem $emper quantitatem motus accipiat, quam imprimit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14116 in materiam Vorticis. Ab$que tali principio nece$$e e$t ut globus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14117 & Vorticis partes interiores, propagantes $emper motum $uum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14118 exteriores, neque novum aliquem motum recipientes, tarde$cant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14119 paulatim & in orbem agi definant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14120 <p><I>Corol.</I> 5. Si globus alter huic Vortioi ad certam ab ip$ius centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14121 di$tantiam innataret, & interea circa axem inclinatione datum vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14122 aliqua con$tanter revolveretur; hujus motu raperetur fluidum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14123 Vorticem: & primo revolveretur hic Vortex novus & exiguus una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14124 cum globo circa centrum alterius, & interea latius $erperet ip$ius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14125 motus, & paulatim propagaretur in infinitum, ad modum Vorticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14126 primi. Et eadem ratione qua hujus globus raperetur motu Vorti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14127 cis alterius, raperetur etiam globus alterius motu hujus, $ic ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14128 globi duo circa intermedium aliquod punctum revolverentur, $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14129 que mutuo ob motum illum circularem fugerent, ni$i per vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14130 aliquam cohibiti. Po$tea $i vires con$tanter impre$$æ, quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14131 globi in motibus $uis per$everant, ce$$arent, & omnia legibus Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14132 chanicis permitterentur, langue$ceret paulatim motus globorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14133 (ob rationem in Corol. 3. & 4. a$$ignatam) & Vortices tandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14134 conquie$cerent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14135 <p><I>Corol.</I> 6. Si globi plures datis in locis circum axes po$itione da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14136 tos certis cum velocitatibus con$tanter revolverentur, fierent Vor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14137 tices totidem in infinitum pergentes. Nam globi $inguli, eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14138 ratione qua unus aliquis motum $uum propagat in infinitum, pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14139 pagabunt etiam motus $uos in infinitum, adeo ut fluidi infiniti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14140 pars unaquæque eo agitetur motu qui ex omnium globorum acti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14141 onibus re$uitat. Unde Vortices non definientur certis <*>bus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14142 $ed in $e mutuo pauiatim excurrent; globique per actiones Vorti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14143 cum in $e mutuo, perpetuo movebuntur de locis <*> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14144 Corollario $uperiore expo$itum e$t; neque certam quam<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14145 <pb n=351>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14146 po$itionem $ervabunt, ni$i per vim aliquam retenti. Ce$$antibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14147 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14148 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14149 autem viribus illis quæ in globos con$tanter impre$$æ con$ervant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14150 ho$ce motus, materia ob rationem in Corollario tertio & quarto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14151 a$$ignatam, paulatim requie$cet & in Vortices agi de$inet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14152 <p><I>Corol.</I> 7. Si fluidum $imilare claudatur in va$e $phærico, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14153 globi in centro con$i$tentis uniformi rotatione agatur in Vorticem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14154 globus autem & vas in eandem pa<*>tem cirea axem eundem revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14155 vantur, $intque eorum tempora periodica ut quadrata $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14156 trorum: partes fluidi non pr<*>s per$everabunt in motibus $uis $ine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14157 acceleratione & retardatione, quam $in<*> eorum tempora periodica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14158 ut quadrata di$tantiarum à centro Vorticis. Alia nulla Vorticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14159 con$titutio pote$t e$$e permanens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14160 <p><I>Corol.</I> 8. Si vas, fluidum inclu$um & globus $ervent hunc mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14161 tum, & motu præterea communi angulari circa axem quemvis da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14162 tum revolvantur; quoniam hoc motu novo non mutatur attritus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14163 partium fluidi in $e invicem, non mutabuntur motus partium in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14164 ter $e. Nam tran$lationes partium inter $e pendent ab attritu.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14165 Pars quælibet in eo per$everabit motu, quo fit ut attritu ex uno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14166 latere non magis tardetur quam acceleretur attritu ex altero.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14167 <p><I>Corol.</I> 9. Unde $i vas quie$cat ac detur motus globi, dabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14168 motus fluidi. Nam concipe planum tran$ire per axem globi &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14169 motu contrario revolvi; & pone $ummam temporis revolutionis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14170 hujus & revolutionis globi e$$e ad tempus revolutionis globi, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14171 quadratum $emidiametri va$is ad quadratum $emidiametri globi:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14172 & tempora periodica partium fluidi re$pectu plani hujus, erunt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14173 quadrata di$tantiarum $uarum à centro globi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14174 <p><I>Corol.</I> 10. Proinde $i vas vel circa axem eundem cum globo, vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14175 circa diver$um aliquem, data cum velocitate quacunque movea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14176 tur, dabitur motus fluidi. Nam $i Sy$temati toti auferatur v $is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14177 motus angularis, manebunt motus omnes iidem inter $e qui prius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14178 per Corol. 8. Et motus i$ti per Corol. 9. dabuntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14179 <p><I>Corol.</I> 11. Si vas & fluidum quie$cant & globus uniformi cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14180 motu revolvatur, propagabitur motus paulatim per fluidum torum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14181 in vas, & circumagetur vas ni$i violenter d<*>tentum, neque prius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14182 de$inent fluidum & vas accelerari, quam $int eorum tempora peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14183 odica æqualia temporibus periodicis globi. Quod $i vas vi aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14184 detineatur vel revolvatur motu quovis con$tanti & uniformi, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14185 vemet Medium paulatim ad $tatum motus in Corollariis 8. 9 & 10.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14186 definiti, nes in alio unquam $tatu quocunque per$everabit. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14187 inde vero $i, viribus illis ce$$antibus quibus vas & globus certis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14188 <pb n=352>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14189 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14190 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14191 motibus revolvebantur, permittatur Sy$tema totum Legibus Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14192 chanicis; vas & globus in $e invicem agent mediante fluido, ne-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14193 que motus $uos in $e mutuo per fluidum propagare prius ce$$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14194 bunt, quam corum tempora periodica æquentur inter $e, & Sy$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14195 ma totum ad in$tar corporis unius $olidi $imul revolvatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14196 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14197 <p>In his omnibus $uppono fluidum ex materia quoad den$itatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14198 & fluiditatem uniformi con$tare. Tale e$t in quo globus idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14199 codem cum motu, in eodem temporis intervallo, motus $imiles &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14200 æqualcs, ad æquales $emper à $e di$tantias, ubivis in fluido con$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14201 tutus, propagare po$$it. Conatur quidem materia per motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14202 $uum circularem recedere ab axe Vorticis, & propterea premit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14203 materiam omnem ulteriorem. Ex hac pre$$ione fit attritus par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14204 tium fortior & $eparatio ab invicem difficilior; & per con$equens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14205 diminuitur materiæ fluiditas. Rur$us $i partes fluidi $unt alicubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14206 cra$$iores $eu majores, fluiditas ibi minor erit, ob pauciores $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14207 ficies in quibus partes $eparentur ab invicem. In huju$modi ca$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14208 bus deficientem fluiditatem vel lubricitate partium vel lentore alia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14209 ve aliqua conditione re$titui $uppono. Hoc ni$i fiat, materia ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14210 minus fluida e$t magis cohærebit & $egnior erit, adeoque motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14211 tardius recipiet & longius propagabit quam pro ratione $uperius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14212 a$$ignata. Si figura va$is non $it Sphærica, movebuntur particulæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14213 in lineis non circularibus $ed conformibus eidem va$is figuræ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14214 tempora periodica erunt ut quadrata mediocrium di$tantiarum à
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14215 centro quamproxime. In partibus inter centrum & circumferen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14216 tiam, ubi latiora $unt $patia, tardiores erunt motus, ubi angu$tiora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14217 velociores, neque tamen particulæ velociores petent circumferen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14218 tiam. Arcus enim de$cribent minus curvos, & conatus recedendi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14219 à centro non minus diminuetur per decrementum hujus curva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14220 turæ, quam augebitur per incrementum velocitatis. Pergendo a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14221 $patiis angu$tioribus in latiora recedent paulo longius a centro,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14222 $ed i$to rece$$u tarde$cent; & accedendo po$tea de latioribus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14223 angu$tiora accelerabuntur, & $ic per vices tarde$cent & accelera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14224 buntur particulæ $ingulæ in perpetuum. Hæc ita $e habebunt in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14225 va$e rigido. Nam in fluido infinito con$titutio Vorticum innote-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14226 $eit per Propo$itionis hujus Corollarium $extum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14227 <p>Proprietates autem Vorticum hac Propo$itione inve$tigare co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14228 natus $um, ut pertentarem $iqua ratione Phænomena c&oelig;le$tia per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14229 <pb n=353>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14230 Vortices explicari po$$int. Nam Phænomenon e$t, quod Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14231 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14232 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14233 rum circa Jovem revolventium tempora periodica $unt in ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14234 $e$quiplicata di$tantiarum a centro Jovis; & eadem Regula obti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14235 net in Planetis qui circa Solem revolvuntur. Obtinent autem hæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14236 Regulæ in Planetis utri$que quam accurati$$ime, quatenus ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14237 vationes A$tronomicæ hactenus prodidere. Ideoque $i Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14238 illi à Vorticibus circa Jovem & Solem revolventibus deferantur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14239 debebunt etiam hi Vortices eadem lege revolvi. Verum tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14240 periodica partium Vorticis prodierunt in ratione duplicata di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14241 tiarum a centro motus: neque pote$t ratio illa diminui & ad ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14242 tionem $e$quiplicatam reduci, ni$i vel materia Vorticis eo fluidior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14243 $it quo longius di$tat a centro, vel re$i$tentia, quæ oritur ex de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14244 fectu lubricitatis partium fluidi, ex aucta velocitate qua partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14245 fluidi $eparantur ab invicem, augeatur in majori ratione quam ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14246 e$t in qua velocitas augetur. Quorum tamen neutrum rationi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14247 con$entaneum videtur. Partes cra$$iores & minus fluidæ (ni$i gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14248 ves $int in centrum) circumferentiam petent; & veri$imile e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14249 quod, etiam$i Demon$trationum gratia Hypothe$in talem initio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14250 Sectionis hujus propo$uerim ut Re$i$tentia velocitati proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14251 lis e$$et, tamen Re$i$tentia in minori $it ratione quam ea velocita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14252 tis e$t. Quo conce$$o, tempora periodica partium Vorticis erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14253 in majori quam duplicata ratione di$tantiarum ab ip$ius centro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14254 Quod $i Vortices (uti aliquorum e$t opinio) celerius moveantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14255 prope centrum, dein tardius u$que ad certum limitem, tum denuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14256 celerius juxta circumferentiam; certe nec ratio $e$quiplicata neque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14257 alia quævis certa ac determinata obtinere pote$t. Viderint itaque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14258 Philo$ophi quo pacto Phænomenon illud rationis $e$quiplicatæ per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14259 Vortices explicari po$$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14260 <C>PROPOSITIO LIII. THEOREMA XLI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14261 <p><I>Corpora quæ in Vortice delata in orbem redeunt, eju$dem $unt den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14262 $itatis cum Vortice, & eadem lege cum ip$ius partibus (quoad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14263 velocitatem & cur$us determinationem) moventur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14264 <p>Nam $i Vorticis pars aliqua exigua, cujus particulæ $eu puncta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14265 phy$ica datum $ervant $itum inter $e, congelari $upponatur: hæc,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14266 quoniam neque quoad den$itatem $uam, neque quoad vim in$itam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14267 aut figuram $uam mutatur, movebitur eadem lege ac prius: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14268 <pb n=354>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14269 <MARG>DE MOTU
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14270 CORPORUM</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14271 contra, $i Vorticis pars congelata & $olida eju$dem $it den$itatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14272 cum reliquo Vortice, & re$olvatur in fluidum; movebitur hæc ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14273 dem lege ac prius, ni$i quatenus ip$ius particulæ jam fluidæ factæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14274 moveantur inter $e. Negligatur igitur motus particularum inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14275 $e, tanquam ad totius motum progre$$ivum nil $pectans, & motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14276 totius idem erit ac prius. Motus autem idem erit cum motu alia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14277 rum Vorticis partium a centro æqualiter di$tantium, propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14278 quod $olidum in Fluidum re$olutum fit pars Vorticis cæteris parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14279 bus con$imilis. Ergo $olidum, $i $it eju$dem den$itatis cum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14280 teria Vorticis, eodem motu cum ip$ius partibus movebitur, in ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14281 teria proxime ambiente relative quie$oens. Sin den$ius $it, jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14282 magis conabitur recedere à centro Vorticis quam prius; adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14283 Vorticis vim illam, qua prius in Orbita $ua tanquam in æquilibrio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14284 con$titutum retinebatur, jam $uperans, recedet a centro & revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14285 vendo de$cribet Spiralem, non amplius in eundem Orbem rediens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14286 Et eodem argumento $i rarius $it, accedet ad centrum. Igitur non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14287 redibit in eundem Orbem ni$i $it eju$dem den$itatis cum fluido
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14288 Eo autem in ca$u o$ten$um e$t, quod revolveretur eadem lege cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14289 partibus fluidi à centro Vorticis æqualiter di$tantibus. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14290 <p><I>Corol.</I> 1. Ergo $olidum quod in Vortice revolvitur & in eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14291 Orbem $emper redit, relative quie$oit in fluido cui innatat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14292 <p><I>Corol.</I> 2. Et $i Vortex $it quoad den$itatem uniformis, corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14293 idem ad quamlibet a centro Vorticis di$tantiam revolvi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14294 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14295 <p>Hinc liquet Planetas à Vorticibus corporeis non deferri. Nan<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14296 Planetæ $ecundum Hypothe$in <I>Copernicæam</I> circa Solem delati re<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14297 volvuntur in Ellip$ibus umbilicum habentibus in Sole, & radiis a<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14298 Solem ductis areas de$cribunt temporibus proportionales. At par<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14299 tes Vorticis tali motu revolvi nequeunt. De$ignent <I>AD, BE, CF</I><*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14300 Orbes tres circa Solem <I>S</I> de$criptos, quorum extimus <I>CF</I> circulu<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14301 fit Soli concentricus, & interiorum duorum Aphelia $int <I>A, B</I> <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14302 Perihelia <I>D, E.</I> Ergo corpus quod revolvitur in Orbe <I>CF,</I> radi<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14303 ad Solem ducto areas temporibus proportionales de$cribendo, m<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14304 vebitur uniformi cum motu. Corpus autem quod revolvitur i<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14305 Orbe <I>BE,</I> tardius movebitur in Aphelio <I>B</I> & velocius in Per<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14306 helio <I>E,</I> $ecundum leges A$tronomicas; cum tamen $ecundum l<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14307 ges Mechanicas materia Vorticis in $patio angu$tiore inter <I>A</I> &<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14308 <pb n=355>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14309 velocius moveri debeat quam in $patio latiore inter <I>D</I> & <I>F</I>; id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14310 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14311 SECUNDUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14312 e$t, in Aphelio velocius quam in Perihelio. Quæ duo repugnant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14313 inter $e. Sic in principio Signi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14314 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14315 Virginis, ubi Aphelium Martis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14316 jam ver$atur, di$tantia inter or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14317 bes Martis & Ve<*> e$t ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14318 $tantiam <>rund<> orbium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14319 principio Signi Pi$cium ut tria
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14320 ad duo circiter, & p<*>opterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14321 materia Vorticis inter Orbes il-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14322 los in principio Pi$cium debet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14323 e$$e velocior quam in principio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14324 Virginis in ratione trium ad duo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14325 Nam quo angu$tius e$t $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14326 per quod eadem Materiæ quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14327 titas eodem revolutionis unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14328 tompore tran$it, eo majori cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14329 velocitate tran$ire debet. Igitur $i Terra in hac Materia c&oelig;$e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14330 $ti relative quie$cens ab ea deferretur, & una circa Solem <*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14331 volveretur, foret hujus velocitas in principio Pi$cium ad eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14332 velocitatem in principio Virginis in ratione $e$quialtera. Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14333 Solis motus diurnus apparens in principio Virginis major e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14334 quam minutorum primorum $eptuaginta, & in principio Pi$cium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14335 minor quam minutorum quadraginta & octo: cum tamen (expe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14336 rientia te$te) apparens i$te Solis motus major $it in principio Pi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14337 $cium quam in principio Virginis, & propterea Terra velocior in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14338 principio Virginis quam in principio Pi$cium. Itaque Hypothe$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14339 Vorticum cum Phænomenis A$tronomicis omnino pugnat, & non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14340 tam ad explicandos quam ad perturbandos motus c&oelig;le$tes, con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14341 ducit. Quomodo vero motus i$ti in $patiis liberis ab$que Vorti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14342 cibus peraguntur intelligi pote$t ex Libro primo, & in Mundi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14343 Sy$temate plenius docebitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14344 <pb n=356>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14345 <C>DE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14346 MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14347 SYSTEMATE
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14348 LIBER TERTIUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14349 <p>IN Libris præcedentibus principia Philo$ophiæ tradidi, non ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14350 men Philo$ophica $ed Mathematica tantum, ex quibus vide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14351 licet in rebus Philo$ophicis di$putari po$$it. Hæc $unt mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14352 tuum & virium leges & conditiones, quæ ad Philo$ophiam ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14353 xime $pectant. Eadem tamen, ne $terilia videantur, illu$travi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14354 Scholiis quibu$dam Philo$ophicis, ea tractans quæ generalia $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14355 & in quibus Philo$ophia maxime fundari videtur, uti corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14356 den$itatem & re$i$tentiam, $patia corporibus vacua, motumque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14357 Lucis & Sonorum. Supere$t ut ex ii$dem principiis doceamus con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14358 $titutionem Sy$tematis Mundani. De hoc argumento compo$ue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14359 ram Librum tertium methodo populari, ut a pluribus legeretur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14360 Sed quibus Principia po$ita $atis intellecta non fuerint, ii vim con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14361 $equentiarum minime percipient, neque præjudicia deponent qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14362 bus a multis retro annis in$ueverunt: & propterea ne res in di$pu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14363 tationes trahatur, $ummam libri illius tran$tuli in Propo$itiones,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14364 more Mathematico, ut ab iis $olis legantur qui Principia prius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14365 evolverint. Veruntamen quoniam Propo$itiones ibi quam pluri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14366 mæ occurrant, quæ Lectoribus etiam Mathematice doctis moram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14367 nimiam injicere po$$int, author e$$e nolo ut qui$quam eas omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14368 evolvat; $uffecerit $iquis Definitiones, Leges motuum & $ectiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14369 tres priores Libri primi $edulo legat, dein tran$eat ad hunc Li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14370 brum de Mundi Sy$temate, & reliquas Librorum priorum Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14371 $itiones hic citatas pro lubitu con$ulat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14372 <pb n=357>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14373 <C>REGULÆ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14374 PHILOSOPHANDI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14375 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14376 <C>REGULA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14377 <p><I>Cau$as rerum naturalium non plures admitti debere, quam quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14378 & veræ $int & earum Phænomenis explicandis $ufficiant.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14379 <p>DIcunt utique Philo$ophi: Natura nihil agit fru$tra, & fru$tra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14380 fit per plura quod fieri pote$t per pauciora. Natura enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14381 $implex e$t & rerum cau$is $uperfluis non luxuriat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14382 <C>REGULA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14383 <p><I>Ideoque Effectuum naturalium eju$dem generis eædem $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14384 Cau$æ.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14385 <p>Uti re$pirationis in Homine & in Be$tia; de$cen$us lapidum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14386 <I>Europa</I> & in <I>America</I>; Lucis in Igne culinari & in Sole; reflexi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14387 onis Lucis in Terra & in Planetis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14388 <C>REGULA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14389 <p><I>Qualitates corporum quæ intendi & remitti nequeunt, quæque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14390 corporibus omnibus competunt in quibus experimenta in$tituere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14391 licet, pro qualitatibus corporum univer$orum habendæ $unt.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14392 <p>Nam qualitates corporum non ni$i per experimenta innote$cunt;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14393 ideoque generales $tatuendæ $unt quotquot cum experimentis ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14394 neraliter quadrant; & quæ minui non po$$unt, non po$$unt au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14395 ferri. Certe contra experimentorum tenorem $omnia temere con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14396 fingenda non $unt, nec a Naturæ ana logia recedendum e$t, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14397 <pb n=358>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14398 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14399 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14400 ea $implex e$$e $oleat & $ibi $emper con$ona. Exten$io corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14401 non ni$i per $en$us innote$cit, nec in omnibus $entitur: $ed quia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14402 $en$ibilibus omnibus competit, de univer$is affirmatur, Corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14403 plura dura e$$e experimur. Oritur autem durities totius a duritie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14404 partium, & inde non horum tantum corporum quæ $entiuncur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14405 $ed aliorum etiam omnium particulas indivi$as e$$e duras merito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14406 concludimus. Corpora omnia impenetrabilia e$$e non ratione $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14407 $en$u colligimus. Quæ tractamus, impenetrabilia inveniuntur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14408 inde concludimus impenetrabilitatem e$$e proprietatem corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14409 univer$orum. Corpora omnia mobilia o$$e, & viribus quibu$dam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14410 (quas vires inertiæ vocamus) per$everare in motu vel quiete, ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14411 hi$ce corporum vi$orum proprietatibus colligimus. Excen$io, du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14412 rities, impenetrabilitas, mobilitas & vis inertiæ totius, oritur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14413 exten$ione, duritie, impenetrabilitate, mobilitate & viribus iner-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14414 tiæ partium: & inde concludimus omnes omnium corporum pa<*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14415 tes minimas extendi & duras e$$e & impenetrabiles & mobiles <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14416 viribus inertiæ præditas. Et hoc e$t fundamentum Philo$ophiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14417 totius. Porro corporum partes divi$as & $ibi mutuo contiguas ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14418 invicem $eparari po$$e, ex Phænomenis novimus, & partes indi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14419 vi$as in partes minores ratione di$tingui po$$e ex Mathematica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14420 certum e$t. Utrum vero partes illæ di$tinctæ & nondum divi$æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14421 per vires Naturæ dividi & ab invicem $eparari po$$int, incertum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14422 e$t. At $i vel unico con$taret experimento quod particula aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14423 indivi$a, frangendo corpus durum & $olidum, divi$ionem patere-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14424 tur: concluderemus vi hujus Regulæ, quod non $olum partes di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14425 vi$æ $eparabiles e$$ent, $ed etiam quod indivi$æ in infinitum dividi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14426 po$$ent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14427 <p>Denique $i corpora omnia in circuitu Terræ gravia e$$e in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14428 ram, idque pro quantitate materiæ in $ingulis, & Lunam gravem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14429 e$$e in Terram pro quantitate materiæ $uæ, & vici$$im mare no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14430 $trum grave e$$e in Lunam, & Planetas omnes graves e$$e in $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14431 mutuo, & Cometarum $imilem e$$e gravitatem, per experimenta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14432 & ob$ervationes A$tronomicas univer$aliter con$tet: dicendum erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14433 per hanc Regulam quod corpora omnia in $e mutuo gravitant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14434 Nam & fortius erit argumentum ex Phænomenis de gravitate uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14435 ver$ali, quam de corporum impenetrabilitate: de qua utique in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14436 corporibus C&oelig;le$tibus nullum experimentum, nullam pror$us ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14437 $ervationem habemus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14438 <pb n=359>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14439 <C>PHÆNOMENA.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14440 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14441 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14442 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14443 <C>PHÆNOMENON I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14444 <p><I>Planetas Circumjoviales, radiis ad centrum Jovis ductis, areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14445 de$cribere temporibus proportionales, corumque tempora periodica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14446 e$$e in ratione $e$quiplicata di$tantiarum ab ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14447 <p>COn$tat ex ob$ervationibus A$tronomicis. Orbes horum Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14448 netarum non differunt $en$ibiliter a circulis Jovi concentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14449 cis, & motus eorum in his circulis uniformes deprehenduntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14450 Tempora vero periodica e$$e in $e$quiplicata ratione $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14451 trorum Orbium con$entiunt A$tronomi; & idem ex Tabula $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14452 quente manife$tum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14453 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14454 <CAPTION ALIGN="TOP"><I>Satellitum Jovialium tempora periodica.</I></CAPTION>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14455 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14456 <TD>1<SUP>d</SUP>.18<SUP>h</SUP>.27′.34″.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14457 <TD>3<SUP>d</SUP>.13<SUP>h</SUP>.13′.42″.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14458 <TD>7<SUP>d</SUP>.3<SUP>h</SUP>.42′.36″.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14459 <TD>16<SUP>d</SUP>.16<SUP>h</SUP>.32′.9″.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14460 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14461 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14462 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14463 <CAPTION ALIGN="TOP"><I>Di$tantiæ Satellitum a centro Jovis.</I></CAPTION>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14464 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14465 <TD><I>Ex ob$ervationibus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14466 <TD ALIGN="CENTER">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14467 <TD ALIGN="CENTER">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14468 <TD ALIGN="CENTER">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14469 <TD ALIGN="CENTER">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14470 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14471 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14472 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14473 <TD>Borelli</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14474 <TD>5 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14475 <TD>8 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14476 <TD>14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14477 <TD>24 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14478 <TD ROWSPAN="4">Semidiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14479 Jovis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14480 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14481 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14482 <TD>Townlei <I>per Microm.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14483 <TD>5,52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14484 <TD>8,78</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14485 <TD>13,47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14486 <TD>24,72</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14487 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14488 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14489 <TD>Ca$$ini <I>per Tele$cop.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14490 <TD>5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14491 <TD>8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14492 <TD>13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14493 <TD>23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14494 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14495 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14496 <TD>Ca$$ini <I>per Eclip$. Satell.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14497 <TD>5 <*>/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14498 <TD>9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14499 <TD>(14 <*>/60)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14500 <TD>(25 1/10)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14501 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14502 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14503 <TD><I>Ex temporibus periodicis.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14504 <TD>5,667</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14505 <TD>9,017</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14506 <TD>14,384</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14507 <TD>25,299</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14508 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14509 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14510 <C>PHÆNOMENON II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14511 <p><I>Planetas Circum$aturnios, radiis ad Saturnum ductis, areas de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14512 bere temporibus proportionales, & eorum tempora periodica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14513 e$$e in ratione $e$quiplicata di$tantiarum ab ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14514 <p><I>Ca$$inus</I> utique ex ob$ervationibus $uis di$tantias corum a centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14515 Saturni & periodica tempora huju$modi e$$e $tatuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14516 <pb n=360>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14517 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14518 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14519 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14520 <CAPTION ALIGN="TOP"><I>Satellitum Saturniorum tempora periodica.</I></CAPTION>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14521 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14522 <TD>1<SUP>d</SUP>.21<SUP>h</SUP>.19′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14523 <TD>2<SUP>d</SUP>.17<SUP>h</SUP>.41′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14524 <TD>4<SUP>d</SUP>.13<SUP>h</SUP>.47′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14525 <TD>15<SUP>d</SUP>.22<SUP>h</SUP>.41′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14526 <TD>79<SUP>d</SUP>.22<SUP>h</SUP>.4′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14527 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14528 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14529 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14530 <CAPTION ALIGN="TOP"><I>Di$tantiæ Satellitum a centro Saturni in $emidiametris Annuli</I></CAPTION>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14531 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14532 <TD><I>Ex ob$ervationibus</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14533 <TD>(1 19/20).</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14534 <TD>2 1/2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14535 <TD>3 1/2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14536 <TD>8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14537 <TD>24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14538 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14539 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14540 <TD><I>Ex temporibus periodicis</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14541 <TD>1,95.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14542 <TD>2,5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14543 <TD>3,52,</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14544 <TD>8,09.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14545 <TD>23,71.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14546 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14547 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14548 <C>PHÆNOMENON III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14549 <p><I>Planetas quinque primarios Mercurium, Venerem, Martem, Jo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14550 vem & Saturnum Orbibus $uis Solem cingere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14551 <p>Mercurium & Venerem circa Solem revolvi ex eorum pha$ibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14552 lunaribus demon$tratur. Plena facie lucentes ultra Solem $iti $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14553 dimidiata è regione Solis, falcata cis Solem; per di$cum ejus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14554 modum macularum nonnunquam tran$euntes. Ex Martis quoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14555 plena facie prope Solis conjunctionem, & gibbo$a in quadraturis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14556 certum e$t quod is Solem ambit. De Jove etiam & Saturno idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14557 ex eorum pha$ibus $emper plenis demon$tratur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14558 <C>PHÆNOMENON IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14559 <p><I>Planetarum quinque primariorum, & (vel Solis circa Terram vel)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14560 Terræ circa Solem tempora periodica e$$e in ratione $e$quipli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14561 cata mediocrium di$tantiarum à Sole.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14562 <p>Hæc à <I>Keplero</I> inventa ratio in confe$$o e$t apud omnes. Ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14563 dem utique $unt tempora periodica, eædemque orbium dimen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14564 $iones, $ive Sol circa Terram, $ive Terra circa Solem revolvatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14565 Ac de men$ura quidem temporum periodicorum convenit inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14566 A$tronomos univer$os. Magnitudines autem Orbium <I>Keplerus</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14567 <I>Bullialdus</I> omnium diligenti$$ime ex Ob$ervationibus determina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14568 verunt: & di$tantiæ mediocres, quæ temporibus periodicis re$pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14569 dent, non differunt $en$ibiliter à di$tantiis quas illi invenerunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14570 $untque inter ip$as ut plurimum intermediæ; uti in Tabula $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14571 quente videre licet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14572 <pb n=361>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14573 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14574 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14575 <TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14576 <CAPTION ALIGN="TOP"><I>Planetarum ac Telluris di$tantiæ mediocres à Sole.</I></CAPTION>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14577 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14578 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14579 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14580 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14581 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14582 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14583 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14584 <TD ALIGN="CENTER"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14585 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14586 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14587 <TD>Secundum <I>Keplerum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14588 <TD>951000.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14589 <TD>519650.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14590 <TD>152350.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14591 <TD>100000.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14592 <TD>72400.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14593 <TD>38806.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14594 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14595 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14596 <TD>Secundum <I>Bullialdum</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14597 <TD>954198.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14598 <TD>522520.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14599 <TD>152350.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14600 <TD>100000.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14601 <TD>72398.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14602 <TD>38585.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14603 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14604 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14605 <TD>Secundum tempora periodica</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14606 <TD>953806.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14607 <TD>520116.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14608 <TD>152399.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14609 <TD>100000.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14610 <TD>72333.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14611 <TD>38710.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14612 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14613 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14614 <p>De di$tantiis Mercurii & Veneris a Sole di$putandi non e$t locus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14615 cum hæ per corum Elongationes à Sole determinentur. De di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14616 $tantiis etiam $uperiorum Planetarum à Sole tollitur omnis di$pu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14617 tatio per Eclip$es Satellitum Jovis. Etenim per Eclip$es illas de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14618 terminatur po$itio umbræ quam Jupiter projicit, & eo nomine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14619 habetur Jovis longitudo Heliocentrica. Ex longitudinibus autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14620 Heliocentrica & Geocentrica inter $e collatis determinatur di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14621 tia Jovis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14622 <C>PHÆNOMENON V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14623 <p><I>Planetas primarios, radiis ad Terram ductis, areas de$cribere tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14624 poribus minime proportionales; at radiis ad Solem ductis, areas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14625 temporibus proportionales percurrere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14626 <p>Nam re$pectu Terræ nunc progrediuntur, nunc $tationarii $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14627 nunc etiam regrediuntur: At Solis re$pectu $emper progrediuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14628 idque propemodum uniformi cum motu, $ed paulo celerius tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14629 in Periheliis ac tardius in Apheliis, $ic ut arearum æquabilis $it de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14630 $criptio. Propo$itio e$t A$tronomis noti$$ima, & in Jove apprime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14631 demon$tratur per Eclip$es Satellitum, quibus Eclip$ibus Helio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14632 centricas Planetæ hujus longitudines & di$tantias à Sole determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14633 nari diximus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14634 <C>PHÆNOMENON VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14635 <p><I>Lunam radio ad centrum Terræ ducto, aream tempori proporti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14636 onalem de$cribere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14637 <p>Patet ex Lunæ motu apparente cum ip$ius diametro apparente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14638 collato. Perturbatur autem motus Lunaris aliquantulum à vi So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14639 lis, $ed errorum in$en$ibiles minutias in hi$ce Phænomenis negligo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14640 <pb n=362>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14641 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14642 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14643 <C>PROPOSITIONES.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14644 <HR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14645 <C>PROPOSITIO I. THEOREMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14646 <p><I>Vires, quibus Plauetæ Circumjoviales perpetuo retrahuntur à me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14647 tibus rectilineis & in Orbibus $uis retinentur, re$picere c<*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14648 trum Jovis, & e$$e reciproce ut quadrata di$tantiarum loco-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14649 rum ab eodem centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14650 <p>PAtet pars prior Propofitionis per Phænomenon primum, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14651 Propo$itionem $ecundam vel tertiam Libri primi: & pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14652 po$terior per Phænomenon primum, & Corollarium $extum Pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14653 po$itionis quartæ eju$dem Libri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14654 <p>Idem intellige de Planetis qui Saturnum comitantur, per Phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14655 nomenon $ecundum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14656 <C>PROPOSITIO II. THEOREMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14657 <p><I>Vires, quibus Planetæ primarii perpetuo retrahuntur à motibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14658 rectilineis, & in Orbibus $uis retinentur, re$picere Solem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14659 e$$e reciproce ut quadrata di$tantiarum ab ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14660 <p>Patet pars prior Propo$itionis per Phænomenon quintum, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14661 Propo$itionem $ecundam Libri primi: & pars po$terior per Phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14662 nomenon quartum, & Propo$itionem quartam eju$dem Libri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14663 Accurati$$ime autem demon$tratur hæc pars Propo$itionis per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14664 quietem Apheliorum. Nam aberratio quam minima à ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14665 duplicata (per Corol. 1. Prop. XLV. Lib. I.) motum Ap$idum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14666 $ingulis revolutionibus notabilem, in plunibus enormem efficere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14667 deberet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14668 <pb n=363>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14669 <C>PROPOSITIO III. THEOREMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14670 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14671 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14672 <p><I>Vim qua Luna retinetur in Orbe $uo re$picere Terram, & e$$e re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14673 citroce ut quadratum di$tantiæ locorum ab ip$ius centro.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14674 <p>Patet a$$ertionis pars prior per Phænomenon $extum, & Propo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14675 po$itionem $ecundam vel tertiam Libri primi: & pars po$terior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14676 per motum tardi$$imum Lunaris Apogæi. Nam motus ille, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14677 $ingulis revolutionibus e$t graduum tantum trium & minutorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14678 trium in con$equentia, contemni pote$t. Patet enim (per Corol. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14679 Prop. XLV. Lib.I.) quod $i di$tantia Lunæ a centro Terræ $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14680 $emidiametrum Terræ ut D ad 1; vis a qua motus talis oriatur $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14681 reciproce ut D (2 4/243), id e$t, reciproce ut ea ip$ius D dignitas cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14682 jus index e$t (2 4/243), hoc e$t, in ratione di$tantiæ paulo majore quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14683 duplicata inver$e, $ed quæ partibus 59 1/4 propius ad duplicatam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14684 quam ad triplicatam accedit. Oritur vero ab actione Solis (uti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14685 po$thac dicetur) & propterea hic negligendus e$t. Actio Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14686 quatenus Lunam di$trahit a Terra, e$t ut di$tantia Lunæ a Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14687 quamproxime; ideoque (per ea quæ dicuntur in Corol. 2. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14688 XLV. Lib. I.) e$t ad Lunæ vim centripetam ut 2 ad 357,45 circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14689 ter, $eu 1 ad (178 29/40). Et neglecta Solis vi tantilla, vis reliqua qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14690 Luna retinetur in Orbe erit reciproce ut D<SUP>2</SUP>. Id quod etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14691 plenius con$tabit conferendo hanc vim cum vi gravitatis, ut fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14692 in Propo$itione $equente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14693 <p><I>Corol.</I> Si vis centripeta mediocris qua Luna retinetur in Orbe,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14694 augeatur primo in ratione (177 29/40) ad (178 29/40), deinde etiam in rati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14695 one duplicata $emidiametri Terræ ad mediocrem di$tantiam centri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14696 Lunæ a centro Terræ: habebitur vis centripeta Lunaris ad $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14697 ficiem Terræ, po$ito quod vis illa de$cendendo ad $uperficiem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14698 Terræ, perpetuo augeatur in reciproca altitudinis ratione du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14699 plicata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14700 <C>PROPOSITIO IV. THEOREMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14701 <p><I>Lunam gravitare in Terram, & vi gravitatis retrahi $emper a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14702 motu rectilineo, & in Orbe $uo retineri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14703 <p>Lunæ di$tantia mediocris a Terra in Syzygiis e$t $emidiametro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14704 rum terre$trium, $ecundum plero$que A$tronomorum 59, $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14705 dum <I>Vendelinum</I> 60, $ecundum <I>Copernicum</I> 60 1/3, & $ecundum <I>Ty-</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14706 <pb n=364>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14707 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14708 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14709 <I>chonem</I> 56 1/2. A$t <I>Tycho,</I> & quotquot ejus Tabulas refractionum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14710 $equuntur, con$tituendo refractiones Solis & Lunæ (omnino con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14711 tra naturam Lucis) majores quam Fixarum, idque $crupulis qua$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14712 quatuor vel quinque, auxerunt parallaxin Lunæ $crupulis totidem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14713 hoc e$t, qua$i duodecima vel decima quinta parte totius paralla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14714 xeos. Corrigatur i$te error, & di$tantia evadet qua$i 60 1/2 $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14715 diametrorum terre$trium, fere ut ab aliis a$$ignatum e$t. A$$uma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14716 mus di$tantiam mediocrem $exaginta $emidiametrorum; & Luna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14717 rem periodum re$pectu Fixarum compleri diebus 27, horis 7, mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14718 nutis primis 43, ut ab A$tronomis $tatuitur; atque ambitum Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14719 e$$e pedum Pari$ien$ium 123249600, uti a <I>Gallis</I> men$urantibus de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14720 finitum e$t: Et $i Luna motu omni privari fingatur ac dimitti ut,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14721 urgente vi illa omni qua in Orbe $uo retinetur, de$cendat in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14722 ram; hæc $patio minuti unius primi cadendo de$cribet pedes Pari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14723 $ien$es (15 1/12). Colligitur hoc ex calculo vel per Propo$itionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14724 XXXVI. Libri primi, vel (quod eodem recidit) per Corollarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14725 nonum Propo$itionis quartæ eju$dem Libri, confecto. Nam ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14726 cus illius quem Luna tempore minuti unius primi, medio $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14727 motu, ad di$tantiam $exaginta $emidiametrorum terre$trium de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14728 $cribat, $inus ver$us e$t pedum Pari$ien$ium (15 1/12) circiter. Unde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14729 cum vis illa accedendo ad Terram augeatur in duplicata di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14730 ratione inver$a, adeoque ad $uperficiem Terræ major $it partibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14731 60X60 quam ad Lunam; corpus vi illa in regionibus no$tris ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14732 dendo, de$cribere deberet $patio minuti unius primi pedes Pari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14733 $ien$es 60X60X(15 1/12), & $patio minuti unius $ecundi pedes (15 1/12).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14734 Atqui corpora in regionibus no$tris vi gravitatis cadendo, de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14735 bunt tempore minuti unius $ecundi pedes Pari$ien$es (15 1/12), uti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14736 <I>Hugenius</I> factis pendulorum experimentis & computo inde inito,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14737 demon$travit: & propterea (per Reg. 1. & 11.) vis qua Luna in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14738 Orbe $uo retinetur, illa ip$a e$t quam nos Gravitatem dicere $ole-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14739 mus. Nam $i Gravitas ab ea diver$a e$t, corpora viribus utri$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14740 conjunctis Terram petendo, duplo velocius de$cendent, & $patio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14741 minuti unius $ecundi cadendo de$cribent pedes Pari$ien$es 30 1/6:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14742 omnino contra Experientiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14743 <p>Calculus hic fundatur in hypothe$i quod Terra quie$cit. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14744 $i Terra & Luna circum Solem moveantur, & interea quoque cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14745 cum commune gravitatis centrum revolvantur: di$tantia centro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14746 rum Lunæ ac Terræ ab invicem erit 60 1/2 $emidiametrorum ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14747 re$trium; uti computationem (per Prop. LX. Lib. I.) incunti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14748 patebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14749 <pb n=365>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14750 <C>PROPOSITIO V. THEOREMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14751 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14752 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14753 <p><I>Planetas Circumjoviales gravitare in Jovem, Circum$aturnios in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14754 Saturnum, & Circum$olares in Solem, & vi gravitatis $uæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14755 retrahi $emper à motibus rectilineis, & in Orbibus curvili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14756 neis retineri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14757 <p>Nam revolutiones Planetarum Circumjovialium circa Jovem, Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14758 cum$aturniorum circa Saturnum, & Mercurii ac Veneris reliquo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14759 rumque Circum$olarium circa Solem $unt Phænomena eju$dem ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14760 neris cum revolutione Lunæ circa Terram; & propterea per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14761 Reg. 11. à cau$is eju$dem generis dependent: præ$ertim cum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14762 mon$tratum $it quod vires, à quibus revolutiones illæ dependent,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14763 re$piciant centra Jovis, Saturni ac Solis, & recedendo à Jove, Sa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14764 turno & Sole decre$cant eadem ratione ac lege, qua vis gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14765 decre$cit in rece$$u à Terra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14766 <p><I>Corol.</I> 1. Gravitas igitur datur in Planetas univer$os. Nam Ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14767 nerem, Mercurium, cætero$que e$$e corpora eju$dem generis cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14768 Jove & Saturno, nemo dubitat. Et cum attractio omnis (per mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14769 tus Legem tertiam) mutua $it, Jupiter in Satellites $uos omnes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14770 Saturnus in $uos, Terraque in Lunam, & Sol in Planetas omnes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14771 primarios gravitabit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14772 <p><I>Corol.</I> 2. Gravitatem, quæ Planetam unumquemque re$picit, e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14773 reciproce ut quadratum di$tantiæ locorum ab ip$ius centro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14774 <p><I>Corol.</I> 3. Graves $unt Planetæ omnes in $e mutuo per Corol. 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14775 & 2. Et hinc Jupiter & Saturnus prope conjunctionem $e invicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14776 attrahendo, $en$ibiliter perturbant motus mutuos, Sol perturbat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14777 motus Lunares, Sol & Luna perturbant Mare no$trum, ut in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14778 $equentibus explicabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14779 <C>PROPOSITIO VI. THEOREMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14780 <p><I>Corpora omnia in Planetas $ingulos gravitare, & pondera eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14781 in eundem quemvis Planetam, paribus di$tantiis à centro Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14782 netæ, proportionalia e$$e quantitati materiæ in $ingulis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14783 <p>De$cen$us gravium omnium in Terram (dempta $altem inæquali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14784 retardatione quæ ex Aeris perexigua re$i$tentia oritur) æqualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14785 <pb n=366>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14786 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14787 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14788 temporibus fieri, jamdudum ob$ervarunt alii; & accurati$$ime qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14789 dem notare licet æqualitatem temporum in Pendulis. Rem tentavi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14790 in Auro, Argento, Plumbo, Vitro, Arena, Sale communi, Ligno,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14791 Aqua, Tritico. Comparabam pyxides duas ligneas rotundas &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14792 æquales. Unam implebam Ligno, & idem Auri pondus $u$pende-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14793 bam (quam potui exacte) in alterius centro o$cillationis. Pyxides
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14794 ab æqualibus pedum undecim filis pendentes, con$tituebant Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14795 dula, quoad pondus, figuram, & acris re$i$tentiam omnino paria:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14796 Et paribus o$cillationibus, juxta po$itæ, ibant una & redibant di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14797 uti$$ime. Proinde copia materiæ in Auro (per Corol. 1. & 6. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14798 XXIV. Lib. II.) erat ad copiam materiæ in Ligno, ut vis motricis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14799 actio in totum Aurum ad eju$dem actionem in totum Lignum; hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14800 e$t, ut pondus ad pondus. Et $ic in cæteris. In corporibus eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14801 dem ponderis differentia materiæ, quæ vel minor e$$et quam pars
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14802 mille$ima materiæ totius, his experimentis manife$to deprehendi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14803 potuit. Jam vero naturam gravitatis in Planetas eandem e$$e atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14804 in Terram, non e$t dubium. Elevari enim fingantur corpora hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14805 Terre$tria ad u$que Orbem Lunæ, & una cum Luna motu omni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14806 privata demitti, ut in Terram $imul cadant; & per jam ante o$ten$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14807 certum e$t quod temporibus æqualibus de$cribent æqualia $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14808 cum Luna, adeoque quod $unt ad quantitatem materiæ in Luna, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14809 pondera $ua ad ip$ius pondus. Porro quoniam Satellites Jovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14810 temporibus revolvuntur quæ $unt in ratione $e$quiplicata di$tanti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14811 arum à centro Jovis, erunt eorum gravitates acceleratrices in Jo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14812 vem reciproce ut quadrata di$tantiarum à centro Jovis; & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14813 terea in æqualibus a Jove di$tantiis, corum gravitates acceleratrices
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14814 evaderent æquales. Proinde temporibus æqualibus ab æqualibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14815 altitudinibus cadendo, de$criberent æqualia $patia; perinde ut fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14816 in gravibus, in hac Terra no$tra. Et eodem argumento Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14817 circum$olares ab æqualibus à Sole di$tantiis demi$$i, de$cen$u $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14818 in Solem æqualibus temporibus æqualia $patia de$criberent. Vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14819 autem, quibus corpora inæqualia æqualiter accelerantur, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14820 corpora; hoc e$t, pondera ut quantitates materiæ in Planetis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14821 Porro Jovis & ejus Satellitum pondera in Solem proportionalia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14822 e$$e quantitatibus materiæ corum, patet ex motu Satellitum quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14823 maxime regulari; per Corol. 3. Prop. LXV. Lib. I. Nam $i ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14824 rum aliqui magis traherentur in Solem, pro quantitate materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14825 $uæ, quam cæteri: motus Satellitum (per Corol. 2. Prop. LXV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14826 Lib. I.) ex inæqualitate attractionis perturbarentur. Si (paribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14827 à Sole di$tantiis) Satelles aliquis gravior e$$et in Solem pro quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14828 <pb n=367>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14829 titate materiæ $uæ, quam Jupiter pro quantitate materiæ $uæ, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14830 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14831 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14832 ratione quacunque data, puta <I>d</I> ad <I>e</I>: di$tantia inter centrum So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14833 lis & centrum Orbis Satellitis, major $emper $oret quam di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14834 inter centrum Solis & centrum Jovis in ratione $ubduplicata quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14835 proxime; uti calculis quibu$dam initis inveni. Et $i Satelles mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14836 nus gravis e$$et in Solem in ratione illa <I>d</I> ad <I>e,</I> di$t<*> centri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14837 Orbis Satellitis à Sole minor foret quam di$tantia centri Jovis à
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14838 Sole in ratione illa $ubduplicata. Igitur $i in æqualibus à Sole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14839 di$tantiis, gravitas acceleratrix Satellitis cuju$vis in Solem major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14840 e$$et vel minor quam gravitas acceleratrix Jovis in Solem, parte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14841 tantum mille$ima gravitatis totius, foret di$tantia centri Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14842 Satellitis à Sole major vel minor quam di$tantia Jovis à Sole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14843 parte (7/2000) di$tantiæ totius, id e$t, parte quinta di$tantiæ Satellitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14844 extimi à centro Jovis: Quæ quidem Orbis eccentricitas foret &c. valde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14845 $en$ibilis. Sed Orbes Satellitum $unt Jovi concentrici, & propte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14846 rea gravitates acceleratrices Jovis & Satellitum in Solem æquantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14847 inter $e. Et eodem argumento pondera Saturni & Comitum ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14848 in Solem, in æqualibus à Sole diftantiis, $unt ut quantitates mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14849 riæ in ip$is: Et pondera Lunæ ac Terræ in Solem vel nulla $unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14850 vel earum ma$$is accurate proportionalia. Aliqua autem $unt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14851 Corol. 1. & 3. Prop. V.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14852 <p>Quinetiam pondera partium $ingularum Planetæ cuju$que in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14853 alium quemcunque, $unt inter $e ut materia in partibus $ingulis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14854 Nam $i partes aliquæ plus gravita<*>ent, aliæ minus, quam pro quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14855 titate materiæ: Planeta totus, pro genere partium quibus maxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14856 abunde<>, gravita<>et magis vel minos quam pro quantitate materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14857 totius. Sed nec <>e$ert utrum partes illæ externa $iat vel int<>æ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14858 Nam $i verbi gratia corpora Te<*>ia, quæ apud nos $unt, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14859 Orbem Lunæ elevari fingantur, & conferantur cum corporo Lunæ:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14860 Si horum pondera e$$ent ad pondera partium externarum Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14861 ut quantitates materiæ in ii$dem, ad pondera vero partium in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14862 ternarum in majori vel minori ratione, forent eadem ad pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14863 Lunæ totius in majori vel minori ratione: contra quam $upra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14864 o$ten$um e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14865 <p><I>Corol.</I> 1. Hinc pondera corporum non pendent ab corum for-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14866 mis & <*>euturis. Nam $i cum formis variari po$$ent; forent ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14867 jora vel minora, pro varietate formarum, in æquali materia: om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14868 nino contra Experientiam.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14869 <pb n=368>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14870 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14871 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14872 <p><I>Corol.</I> 2. Corpora univer$a quæ circa Terram $unt, gravia $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14873 in Terram; & pondera omnium, quæ æqualiter à centro Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14874 di$tant, $unt ut quantitates materiæ in ii$dem. Hæc e$t qualitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14875 omnium in quibus experimenta in$tituere licet, & propterea per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14876 Reg.111. de univer$is affirmanda e$t. Si Æther aut corpus aliud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14877 quodcunque vel gravitate omnino de$titueretur, vel pro quantitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14878 materiæ $uæ minus gravitaret: quoniam id (ex mente <I>Ari$totelis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14879 C<></I> ab aliis corporibus ni$i in form<>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14880 materiæ, pon<*> idem per mutationem formæ gradatim tran$mutari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14881 in corpus eju$dem conditionis cum iis quæ, pro quantitate materiæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14882 quam maxime gravitant, & vici$$im corpora maxime gravia, fer-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14883 mam illius gradatim induendo, po$$ent gravitatem $uam gradatim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14884 amittere. Ac proinde pondera penderent à formis corporum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14885 po$$entque cum formis variari, contra quam probatum e$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14886 Corollario $uperiore.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14887 <p><I>Corol.</I> 3. Spatia omnia non $unt æqualiter plena. Nam $i $patia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14888 omnia æqualiter plena e$$ent, gravitas $pecifica fluidi quo regio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14889 aeris impleretur, ob $ummam den$itatem materiæ, nil cederet gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14890 vitati $pecificæ argenti vivi, vel auri, vel corporis alterius cuju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14891 cunque den$i$$imi; & propterea nec aurum neque aliud quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14892 cunque corpus in aere de$cendere po$$et. Nam corpora in flui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14893 dis, ni$i $pecifice graviora $int, minime de$cendunt. Quod $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14894 quantitas materiæ in $patio dato per rarefactionem quamcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14895 diminui po$$it, quidni diminui po$$it in infinitum?
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14896 <p><I>Corol.</I> 4. Si omnes omnium corporum particulæ $olidæ $int eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14897 dem den$itatis, neque ab$que poris rarefieri po$$int, Vacuum da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14898 tur. Eju$dem den$itatis e$$e dico, quarum vires inertiæ $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14899 magnitudines.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14900 <p><I>Corol.</I> 5. Vis gravitatis diver$i e$t generis à vi magnetica. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14901 attractio magnetica non e$t ut materia attracta. Corpora aliqua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14902 magis trahuntur, alia minus, plurima non trahuntur. Et vis mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14903 netica in uno & eodem corpore intendi pote$t & remitti, e$tque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14904 nonnunquam longe major pro quantitate materiæ quam vis gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14905 vitatis, & in rece$$u à Magnete decre$cit in ratione di$tantiæ non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14906 duplicata, $ed fere triplicata, quantum ex cra$$is quibu$dam ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14907 vationibus animadvertere potui.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14908 <pb n=369>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14909 <C>PROPOSITIO VII. THEOREMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14910 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14911 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14912 <p><I>Gravitatem in corpora univer$a fieri, eamque proportionalem e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14913 quantitati materiæ in $ingulis.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14914 <p>Planetas omnes in $e mutuo graves e$$e jam ante probavimus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14915 ut & gravitatem in unumquemque $eor$im $pectatum e$$e reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14916 proce ut quadratum di$tantiæ locorum à centro Planetæ. Et inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14917 con$equens e$t, (per Prop. LXIX. Lib. I. & ejus Corollaria) gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14918 vitatem in omnes proportionalem e$$e materiæ in ii$dem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14919 <p>Porro cum Pianetæ cuju$vis <I>A</I> partes omnes graves $int in Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14920 netam quemvis <I>B,</I> & gravitas partis cuju$que $it ad gravitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14921 totius, ut materia partis ad materiam totius, & actioni omni re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14922 actio (per motus Legem tertiam) æqualis $it; Planeta <I>B</I> in partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14923 omnes Planetæ <I>A</I> vici$$im gravitabit, & erit gravitas $ua in par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14924 tem unamquamque ad gravitatem $uam in totum, ut materia par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14925 tis ad materiam totius. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14926 <p><I>Corol.</I> 1. Oritur igitur & componitur gravitas in Planetam to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14927 tum ex gravitate in partes $ingulas. Cujus rei exempla habemus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14928 in attractionibus Magneticis & Electricis. Oritur enim attractio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14929 omnis in totum ex attractionibus in partes $ingulas. Res intelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14930 getur in gravitate, concipiendo Planetas plures minores in unum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14931 Globum coire & Planetam majorem componere. Nam vis totius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14932 ex viribus partium componentium oriri debebit. Siquis objiciat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14933 quod corpora omnia, quæ apud nos $unt, hac lege gravitare de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14934 berent in $e mutuo, cum tamen cju$modi gravitas neutiquam $en-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14935 tiatur: Re$pondeo quod gravitas in hæc corpora, cum $it ad gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14936 vitatem in Terram totam ut $unt hæc corpora ad Terram totam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14937 longe minor e$t quam quæ $entiri po$$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14938 <p><I>Corol.</I> 2. Gravitatio in $ingulas corporis particulas æquales e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14939 reciproce ut quadratum di$tantiæ locorum à particulis. Patet per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14940 Corol. 3. Prop. LXXIV. Lib. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14941 <pb n=370>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14942 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14943 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14944 <C>PROPOSITIO VIII. THEOREMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14945 <p><I>Si Globorum duorum in $e mutuo gravitantium materia undique,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14946 in regionibus quæ à centris æqualiter di$tant, homogenea $it:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14947 erit pondus Globi alterutrius in alterum reciproce ut quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14948 tum di$tantiæ inter centra.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14949 <p>Po$tquam inveni$$em gravitatem in Planetam totum oriri &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14950 componi ex gravitatibus in partes; & e$$e in partes $ingulas reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14951 proce proportionalem quadratis di$tantiarum a partibus<*> dubita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14952 bam an reciproca illa proportio duplicata obtineret accurate in vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14953 tota ex viribus pluribus compo$ita, an vero quam proxime. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14954 fieri po$$et ut proportio, quæ in majoribus di$tantiis $atis accu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14955 rate obtineret, prope $uperficiem Planetæ ob inæquales particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14956 larum di$tantias & $itus di$$imiles, notabiliter erraret. Tandem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14957 vero, per Prop. LXXV. & LXXVI. Libri primi & ip$arum Corol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14958 laria, intellexi veritatem Propo$itionis de qua hic agitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14959 <p><I>Corol.</I> 1. Hinc inveniri & inter $e comparari po$$unt pondera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14960 corporum in diver$os Planetas. Nam pondera corporum æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14961 lium circum Planetas in circulis revolventium $unt (per Corol. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14962 Prop. IV. Lib.I.) ut diametri circulorum directe & quadrata tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14963 porum periodicorum inver$e; & pondera ad $uperficies Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14964 rum, alia$ve qua$vis a centro di$tantias, majora $unt vel minora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14965 (per hanc Propo$itionem) in duplicata ratione di$tantiarum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14966 ver$a. Sic ex temporibus periodicis Veneris circum Solem die-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14967 rum 224 & horarum 16 1/4, Satellitis extimi circumjovialis circum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14968 Jovem dierum 16 & horarum (16 1/15), Satellitis Hugeniani circum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14969 Saturnum dierum 15 & horarum 22 2/3, & Lunæ circum Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14970 dierum 27, hor. 7. min. 43, collatis cum di$tantia mediocri Vene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14971 ris a Sole & cum elongationibus maximis heliocentricis Satellitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14972 extimi circumjovialis a centro Jovis 8′. 21 1/2″, Satellitis Hugeniani
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14973 a centro Saturni 3′. 20″, & Lunæ a Terra 10′, computum ineundo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14974 inveni quod corporum æqualium & a Sole, Jove, Saturno ac Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14975 æqualiter di$tantium pondera in Solem, Jovem, Saturnum ac Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14976 ram forent ad invicem ut 1, (1/1033), (1/2411), & (1/227512) re$pective. E$t enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14977 parallaxis Solis ex ob$ervationibus novi$$imis qua$i 10″, & <I>Hal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14978 leius</I> no$ter per emer$iones Jovis & Satellitum e parte ob$cura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14979 <pb n=371>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14980 Lunæ, determinavit quod elongatio maxima heliocentrica Satelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14981 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14982 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14983 tis extimi Jovialis a centro Jovis in mediocri Jovis a Sole di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14984 tia $it 8′. 21 1/2″, & diameter Jovis 41″. Ex duratione Eclip$eon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14985 Satellitum in umbram Jovis incidentium prodit hæc diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14986 qua$i 40″, atque adeo $emidiameter 20″. Men$uravit autem <I>Hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14987 genius</I> elongationem maximam heliocentricam Satellitis a $e de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14988 tecti 3′. 20″ a centro Saturni, & hujus elongationis pars quarta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14989 nempe 50″, e$t diameter annuli Saturni e Sole vi$i, & diameter Sa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14990 turni e$t ad diametrum annuli ut 4 ad 9, ideoque $emidiameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14991 Saturni e Sole vi$i e$t 11″. Subducatur lux erratica quæ haud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14992 minor e$$e $olet quam 2″ vel 3″: Et manebit $emidiameter Saturni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14993 qua$i 9″. Ex hi$ce autem & Solis $emidiametro mediocri 16′. 6″
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14994 computum ineundo prodeunt veræ Solis, Jovis, Saturni ac Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14995 $emidiametri ad invicem ut 10000, 1077, 889 & 104. Unde,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14996 cum pondera æqualium corporum 2 centris Solis, Jovis, Saturni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14997 ac Terræ æqualiter di$tantium, $int in Solem, Jovem, Saturnum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14998 ac Terram, ut 1, (1/1033), (1/2411), & (1/227512) re$pective, & auctis vel dimi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	14999 nutis di$tantiis pondera diminuantur vel augeantur in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15000 ratione: pondera æqualium corporum in Solem, Jovem, Satur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15001 num ac Terram in di$tantiis 10000, 1077, 889, & 104 ab eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15002 centris, atque adeo in eorum $uperficiebus, erunt ut 10000, 835,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15003 525, & 410 re$pective. Quanta $int pondera corporum in $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15004 ficie Lunæ dicemus in $equentibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15005 <p><I>Corol.</I> 2. Innote$cit etiam quantitas materiæ in Planetis $ingulis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15006 Nam quantitates materiæ in Planetis $unt ut eorum vires in æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15007 libus di$tantiis ab eorum centris, id e$t, in Sole, Jove, Saturno ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15008 Terra $unt ut 1, (1/1033), (1/2411), & (1/227512) re$pective. Si parallaxis Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15009 $tatuatur major vel minor quam 10″, debebit quantitas materiæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15010 Terra augeri vel diminui in triplicata ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15011 <p><I>Corol.</I> 3. Innote$cunt etiam den$itates Planetarum. Nam pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15012 dera corporum æqualium & homogeneorum in Sphæras homoge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15013 neas $unt in $uperficiebus Sphærarum ut Sphærarum diametri, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15014 Prop. LXXII. Lib. I. ideoque Sphærarum heterogenearum den$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15015 tates $unt ut pondera illa applicata ad Sphærarum diametros.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15016 Erant autem veræ Solis, Jovis, Saturni ac Terræ diametri ad invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15017 cem ut 10000, 1077, 889, & 104, & pondera in eo$dem ut 10000,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15018 835, 525, & 410, & propterea den$itates $unt ut 100, 78, 59,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15019 & 396. Den$itas Terræ quæ prodit ex hoc computo non pendet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15020 a parallaxi Solis, $ed determinatur per parallaxin Lunæ, & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15021 <pb n=372>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15022 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15023 SYITEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15024 terea hic recte definitur. E$t igitur Sol paulo den$ior quam Jupi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15025 ter, & Jupiter quam Saturnus, & Terra quadruplo den$ior quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15026 Sol. Nam per ingentem $uum calorem Sol rare$cit. Luna vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15027 den$ior e$t quam Terra, ut in $equentibus patebit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15028 <p><I>Corol.</I> 4. Den$iores igitur $unt Planetæ qui $unt minores, cæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15029 teris paribus. Sic enim vis gravitatis in eorum $uperficiebus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15030 æqualitatem magis accedit. Sed & den$iores $unt Planetæ, cæte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15031 ris paribus, qui $unt Soli propiores; ut Jupiter Saturno, & Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15032 Jove. In diver$is utique di$tantiis a Sole collocandi erant Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15033 ut quilibet pro gradu den$itatis calore Solis majore vel minore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15034 frueretur. Aqua no$tra, $i Terra locaretur in orbe Saturni, rige-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15035 $ceret, $i in orbe Mercurii in vapores $tatim abiret. Nam lux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15036 Solis, cui calor proportionalis e$t, $eptuplo den$ior e$t in orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15037 Mercurii quam apud nos: & Thermometro expertus $um quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15038 $eptuplo Solis æ$tivi calore aqua ebullit. Dubium vero non e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15039 quin materia Mercurii ad calorem accommodetur, & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15040 den$ior $it hac no$tra; cum materia omnis den$ior ad operationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15041 Naturales obeundas majorem calorem requirat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15042 <C>PROPOSITIO IX. THEOREMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15043 <p><I>Gravitatem pergendo a $uperficiebus Planetarum deor$um de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15044 cre$cere in ratione di$tantiarum a centro quam proxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15045 <p>Si materia Planetæ quoad den$itatem uniformis e$$et, obtineret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15046 hæc Propo$itio accurate: per Prop. LXXIII. Lib. I. Error igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15047 tantus e$t, quantus ab inæquabili den$itate oriri po$$it.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15048 <C>PROPOSITIO X. THEOREMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15049 <C><I>Motus Planetarum in C&oelig;lis diuti$$ime con$ervari po$$e.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15050 <p>In Scholio Propo$itionis XL. Lib. II. o$ten$um e$t quod globus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15051 Aquæ congelatæ in Aere no$tro, libere movendo & longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15052 $emidiametri $uæ de$cribendo, ex re$i$tentia Aeris amitteret motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15053 $ui partem (1/4586). Obtinet autem eadem proportio quam proxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15054 in globis utcunque magnis & velocibus. Jam vero Globum Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15055 no$træ den$iorem e$$e quam $i totus ex Aqua con$taret, $ic colligo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15056 Si Globue hicce totus e$$et aqueus, quæcunque rariora e$$ent quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15057 aqua, ob minorem $pecificam gravitatem emergerent & $upernata-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15058 <pb n=373>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15059 rent. Eaque de cau$a Globus terreus aquis undique coopertus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15060 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15061 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15062 $i rarior e$$et quam aqua, emergeret alicubi, & aqua omnis inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15063 defluens congregaretur in regione oppo$ita. Et par e$t ratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15064 Terræ no$træ maribus magna ex parte circumdatæ. Hæc $i den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15065 $ior non e$$et, emergeret ex maribus, & parte $ui pro gradu levi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15066 tatis extaret ex Aqua, maribus omnibus in regionem oppo$itam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15067 confluentibus. Eodem argumento maculæ Solares leviores $unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15068 quam materia lucida Solaris cui $upernatant. Et in formatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15069 qualicunque Planetarum, materia omnis gravior, quo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15070 ma$$a tota fluida erat, centrum petebat. Unde cum Terra com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15071 munis $uprema qua$i duplo gravior $it quam aqua, & paulo infe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15072 rius in fodinis qua$i triplo vel quadruplo aut etiam quintuplo gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15073 vior reperiatur: veri$imile e$t quod copia materiæ totius in Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15074 qua$i quintuplo vel $extuplo major $it quam $i tota ex aqua con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15075 $taret; præ$ertim cum Terram qua$i quintuplo den$iorem e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15076 quam Jovem jam ante o$ten$um $it. Igitur $i Jupiter paulo den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15077 $ior $it quam aqua, hic $patio dierum triginta, quibus lon
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15078 gitudinem 459 $emidiametrorum $uarum de$cribit, amitteret <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15079 Medio eju$dem den$itatis cum Aere no$tro motus $ui partem <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15080 decimam. Verum cum re$i$tentia Mediorum minuatur in <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15081 ponderis ac den$itatis, $ic ut aqua, quæ partibus 13 2/3 levior e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15082 quam argentum vivum, minus re$i$tat in eadem ratione; & aer,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15083 qui partibus 850 levior e$t quam aqua, minus re$i$tat in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15084 ratione: $i a$cendatur in c&oelig;los ubi pondus Medii, in quo Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15085 moventur, diminuitur in immen$um, re$i$tentia prope ce$$abit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15086 <C>HYPOTHESIS I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15087 <C><I>Centrum Sy$tematis Mundani quie$cere.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15088 <p>Hoc ab omnibus conce$$um e$t, dum aliqui Terram alii Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15089 in centro Sy$tematis quie$cere contendant. Videamus quid inde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15090 $equatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15091 <C>PROPOSITIO XI. THEOREMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15092 <p><I>Commune centrum gravitatis Terræ, Solis & Planetarum om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15093 nium quie$cere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15094 <p>Nam centrum illud (per Legum Corol. 4.) vel quie$cet vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15095 progredietur uniformiter in directum. Sed centro illo $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15096 <pb n=374>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15097 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15098 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15099 progrediente, centrum Mundi quoque movebitur contra Hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15100 pothe$in.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15101 <C>PROPOSITIO XII. THEOREMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15102 <p><I>Solem motu perpetuo agitari, $ed nunquam longe recedere a com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15103 muni gravitatis centro Planetarum omnium.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15104 <p>Nam cum (per Corol. 2. Prop. VIII.) materia in Sole $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15105 materiam in Jove ut 1033 ad 1, & di$tantia Jovis a Sole $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15106 $emidiametrum Solis in ratione paulo majore; incidet commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15107 centrum gravitatis Jovis & Solis in punctum paulo $upra $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15108 ficiem Solis. Eodem argumento cum materia in Sole $it ad ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15109 teriam in Saturno ut 2411 ad 1, & di$tantia Saturni a Sole $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15110 $emidiametrum Solis in ratione paulo minore: incidet commune
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15111 centrum gravitatis Saturni & Solis in punctum paulo infra $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15112 ficiem Solis. Et eju$dem calculi ve$tigiis in$i$tendo $i Terra &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15113 Planetæ omnes ex una Solis parte con$i$terent, commune omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15114 centrum gravitatis vix integra Solis diametro a centro Solis di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15115 $taret. Aliis in ca$ibus di$tantia centrorum $emper minor e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15116 Et propterea cum centrum illud gravitatis perpetuo quie$cit, Sol
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15117 pro vario Planetarum $itu in omnes partes movebitur, $ed à cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15118 tro illo nunquam longe recedet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15119 <p><I>Corol.</I> Hinc commune gravitatis centrum Terræ, Solis & Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15120 netarum omnium pro centro Mundi habendum e$t. Nam cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15121 Terra, Sol & Planetæ omnes gravitent in $e mutuo, & propte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15122 rea, pro vi gravitatis $uæ, $ecundum leges motus perpetuo agi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15123 tentur: per$picuum e$t quod horum centra mobilia pro Mundi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15124 centro quie$cente haberi nequeunt. Si corpus illud in centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15125 locandum e$$et in quod corpora omnia maxime gravitant (uti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15126 vulgi e$t opinio) privilegium i$tud concedendum e$$et Soli.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15127 Cum autem Sol moveatur, eligendum erit punctum quie$cens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15128 a quo centrum Solis quam minime di$cedit, & a quo idem ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15129 huc minus di$cederet, $i modo Sol den$ior e$$et & major, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15130 minus moveretur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15131 <pb n=375>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15132 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15133 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15134 <C>PROPOSITIO XIII. THEOREMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15135 <p><I>Planetæ moventur in Ellipfibus umbilicum habentibus in centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15136 Solis, & radiis ad centrum illud ductis areas de$cribunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15137 temporibus proportionales.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15138 <p>Di$putavimus $upra de his motibus ex Phænomenis. Jam cog-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15139 nitis motuum principiis, ex his colligimus motus c&oelig;le$tes a pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15140 ori. Quoniam pondera Planetarum in Solem $unt reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15141 quadrata di$tantiarum a centro Solis; $i Sol quie$ceret & Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15142 reliqui non agerent in $e mutuo, forent orbes eorum Elliptici,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15143 Solem in umbilico communi habentes, & areæ de$criberentur tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15144 poribus proportionales (per Prop. I. & XI, & Corol. I. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15145 XIII Lib. I.) Actiones autem Planetarum in $e mutuo perexiguæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15146 $unt (ut po$$int contemni) & motus Planetarum in Ellip$ibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15147 circa Solem mobilem minus perturbant (per Prop. LXVI. Lib. I.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15148 quam $i motus i$ti circa Solem quie$centem peragerentur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15149 <p>Actio quidem Jovis in Saturnum non e$t omnino contemnenda.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15150 Nam gravitas in Jovem e$t ad gravitatem in Solem (paribus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15151 $tantiis) ut 1 ad 1033; adeoque in conjunctione Jovis & Saturni,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15152 quoniam di$tantia Saturni a Jove e$t ad di$tantiam Saturni a Sole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15153 fere ut 4 ad 9, erit gravitas Saturni in Jovem ad gravitatem Sa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15154 turni in Solem ut 81 ad 16X1033 $eu 1 ad 204 circiter. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15155 hinc oritur perturbatio orbis Saturni in $ingulis Planetæ hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15156 cum Jove conjunctionibus adeo $en$ibilis ut ad eandem A$tronomi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15157 hæreant. Pro vario $itu Planetæ in his conjunctionibus, Eccen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15158 tricitas ejus nunc augetur nunc diminuitur, Aphelium nunc pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15159 movetur nunc forte retrahitur, & medius motus per vices accele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15160 ratur & retardatur. Error tamen omnis in motu ejus circum So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15161 lem a tanta vi oriundus (præterquam in motu medio) evitari fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15162 pote$t con$tituendo umbilicum inferiorem Orbis ejus in communi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15163 centro gravitatis Jovis & Solis (per Prop. LXVII. Lib. I.) & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15164 terea ubi maximus e$t, vix $uperat minuta duo prima. Et error
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15165 maximus in motu medio vix $uperat minuta duo prima annuatim.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15166 In conjunctione autem Jovis & Saturni gravitates acceleratrices
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15167 Solis in Saturnum, Jovis in Saturnum & Jovis in Solem $unt fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15168 ut 16, 81 & (16X81X2411/25) $eu 124986, adeoque differentia gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15169 tatum Solis in Saturnum & Jovis in Saturnum e$t ad gravitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15170 <pb n=376>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15171 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15172 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15173 Jovis in Solem ut 65 ad 124986 $eu 1 ad 1923. Huic autem dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15174 ferentiæ proportionalis e$t maxima Saturni efficacia ad perturban-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15175 dum motum Jovis, & propterea perturbatio orbis Jovialis longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15176 minor e$t quam ea Saturnii. Reliquorum orbium perturbationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15177 $unt adhuc longe minores, præterquam quod Orbis Terræ $en$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15178 biliter perturbatur a Luna. Commune centrum gravitatis Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15179 & Lunæ, Ellip$in circum Solem in umbilico po$itum percurrit, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15180 radio ad Solem ducto areas in eadem temporibus proportionales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15181 de$cribit, Terra vero circum hoc centrum commune motu men-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15182 $truo revolvitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15183 <C>PROPOSITIO XIV. THEOREMA XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15184 <C><I>Orbium Aphelia & Nodi quie$cunt.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15185 <p>Aphelia quie$cunt, per Prop. XI. Lib. I. ut & Orbium plana,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15186 per eju$dem Libri Prop. 1. & quie$centibus planis quie$cunt Nodi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15187 Attamen a Planetarum revolventium & Cometarum actionibus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15188 $e invicem orientur inæqualitates aliquæ, $ed quæ ob parvitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15189 hic contemni po$$unt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15190 <p><I>Corol.</I> 1. Quie$cunt etiam Stellæ fixæ, propterea quod datas ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15191 Aphelia Nodo$que po$itiones $ervant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15192 <p><I>Corol.</I> 2. Ideoque cum nulla $it earum parallaxis $en$ibilis ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15193 Terræ motu annuo oriunda, vires earum ob immen$am corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15194 di$tantiam nullos edent $en$ibiles effectus in regione Sy$tematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15195 no$tri. Quinimo Fixæ in omnes cæli partes æqualiter di$per$æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15196 contrariis attractionibus vires mutuas de$truunt, per Prop. LXX.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15197 Lib. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15198 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15199 <p>Cum Planetæ Soli propiores (nempe Mercurius, Venus, Terra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15200 & Mars) ob corporum parvitatem parum agant in $e invicem:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15201 horum Aphelia & Nodi quie$cent, ni$i quatenus a viribus Jovis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15202 Saturni, & corporum $uperiorum turbentur. Et inde colligi po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15203 te$t per theoriam gravitatis, quod horum Aphelia moventur ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15204 quantulum in con$equentia re$pectu fixarum, idque in proporti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15205 one $e$quiplicata di$tantiarum horum Planetarum a Sole. Ut $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15206 Aphelium Martis in annis centum conficiat 35′ in con$equentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15207 re$pectu fixarum; Aphelia Terræ, Veneris, & Mercurii in annis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15208 centum conficient 18′. 36″, 11′. 27″, & 4′. 29″ re$pective. Et hi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15209 motus, ob parvitatem, negliguntur in hac Propo$itione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15210 <pb n=377>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15211 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15212 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15213 <C>PROPOSITIO XV. PROBLEMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15214 <C><I>Invenire Orbium principales diametros.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15215 <p>Capiendæ $unt hæ in ratione $ub$e$quiplicata temporum perio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15216 dicorum, per Prop. XV. Lib. I. deinde $igillatim augendæ in rati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15217 one $ummæ ma$$arum Solis & Planetæ cuju$que revolventis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15218 primam duarum medie proportionalium inter $ummam illam &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15219 Solem, per Prop. LX. Lib. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15220 <C>PROPOSITIO XVI. PROBLEMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15221 <C><I>Invenire Orbium Eccentricitates & Aphelia.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15222 <p>Problema confit per Prop. XVIII. Lib. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15223 <C>PROPOSITIO XVII. THEOREMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15224 <p><I>Planetarum motus diurnos uniformes e$$e, & librationem Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15225 ex ip$ius motu diurno oriri.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15226 <p>Patet per motus Legem I, & Corol. 22. Prop. LXVI. Lib. I.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15227 Quoniam vero Lunæ, circa axem $uum uniformiter revolventis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15228 dies men$truus e$t; hujus facies eadem ulteriorem umbilicum or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15229 bis ip$ius $emper re$piciet, & propterea pro $itu umbilici illius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15230 deviabit hinc inde a Terra. Hæc e$t libratio in longitudinem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15231 Nam libratio in latitudinem orta e$t ex inclinatione axis Lunaris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15232 ad planum orbis. Porro hæc ita $e habere, ex Phænomenis mani-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15233 fe$tum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15234 <C>PROPOSITIO XVIII. THEOREMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15235 <p><I>Axes Planetarum diametris quæ ad eo$dem axes normaliter du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15236 cuntur minores e$$e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15237 <p>Planetæ $ublato omni motu circulari diurno figuram Sphæricam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15238 ob æqualem undique partium gravitatem, affectare deberent. Per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15239 motum illum circularem fit ut partes ab axe recedentes juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15240 æquatorem a$cendere conentur. Ideoque materia $i fluida $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15241 <pb n=378>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15242 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15243 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15244 a$cen$u $uo ad æquatorem diametros adaugebit, axem vero de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15245 $cen$u $uo ad polos diminuec. Sic Jovis diameter (con$entienti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15246 bus A$tronomorum ob$ervationibus) brevior deprehenditur inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15247 polos quam ab oriente in occidentem. Eodem argumento, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15248 Terra no$tra paulo altior e$$et $ub æquatore quam ad polos, Ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15249 ria ad polos $ub$iderent, & juxta æquatorem a$cendendo, ibi om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15250 nia inundarent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15251 <C>PROPOSITIO XIX. PROBLEMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15252 <C><I>Invenire proportionem axis Planetæ ad diametros eidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15253 perpendiculares.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15254 <p><I>Picartus</I> men$urando arcum gradus unius & 22′. 55″ inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15255 <I>Ambianum</I> & <I>Malvoi$inam,</I> invenit arcum gradus unius e$$e hexa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15256 pedarum Pari$ien$ium 57060. Unde ambitus Terræ e$t pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15257 Pari$ien$ium 123249600, ut $upra. Sed cum error quadringente-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15258 $imæ partis digiti, tam in fabrica in$trumentorum quam in ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15259 plicatione eorum ad ob$ervationes capiendas, $it in$en$ibilis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15260 in Sectore decempedali quo <I>Galli</I> ob$ervarunt Latitudines loco-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15261 rum re$pondeat minutis quatuor $ecundis, & in $ingulis ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15262 tionibus incidere po$$it tam ad centrum Sectoris quam ad ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15263 circumferentiam, & errores in minoribus ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15264 cubus $int majoris momenti:<note>Vide Hi$toriam Aca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15265 demiæ Regiæ $cientiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15266 anno 1700.</note> ideo <I>Ca$$inus</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15267 ju$$u Regio men$uram Terræ per majora loco-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15268 rum intervalla aggre$$us e$t, & $ubinde per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15269 di$tantiam inter Ob$ervatorium Regium <I>Pari$ien$e</I> & villam <I>Coli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15270 oure</I> in <I>Rou$$illon</I> & Latitudinum differentiam 6<SUP>gr.</SUP> 18′, $uppo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15271 nendo quod figura Terræ $it Sphærica, invenit gradum unum e<*>e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15272 hexapedarum 57292, prope ut <I>Norwoodus</I> no$ter antea invenerat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15273 Hic enim circa annum 1635, men$urando di$tantiam pedum Lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15274 dinen$ium 905751 inter <I>Londinum</I> & <I>Eboracum,</I> & ob$ervando
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15275 differentiam Latitudinum 2<SUP>gr.</SUP> 28′, collegit men$uram gradus unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15276 e$$e pedum Londinen$ium 367196, id e$t, hexapedarum Pari$ien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15277 $ium 57300. Ob magnitudinem intervalli a <I>Ca$$ino</I> mon$urati, pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15278 men$ura gradus unius in medio intervalli illius, id e$t, inter La-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15279 titudines 45<SUP>gr.</SUP> & 46<SUP>gr.</SUP> u$urpabo hexapedas 57292. Unde, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15280 Terra $it Sphærica, $emidiameter ejus erit pedum Pari$ien$ium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15281 19695539.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15282 <pb n=379>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15283 <p>Penduli in Latitudine <I>Lutetiæ Pari$iorum</I> ad minuta $ecunda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15284 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15285 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15286 o$cillantis longitudo e$t pedum trium Pari$ien$ium & linearum 8 5/9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15287 Et longitudo quod grave tempore minuti unius $ecundi cadendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15288 de$cribit, e$t ad dimidiam longitudinem penduli hujus, in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15289 ratione circumferentiæ circuli ad diametrum ejus (ut indicavit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15290 <I>Hugenius</I>) ideoque e$t pedum Pari$ien$ium 15, dig. 1, lin. (2 1<*>), $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15291 linearum (2174 1/<*>).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15292 <p>Corpus in circulo, ad di$tantiam pedum 19695539 a centro,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15293 $ingulis diebus $idereis horarum 23. 56′. 4″ uniformiter revolvens,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15294 tempore minuti unius $ecundi de$cribit arcum pedum 1436,223,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15295 cujus $inus ver$us e$t pedum 0,05236558, $eu linearum 7,54064.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15296 Ideoque vis qua gravia de$cendunt in Latitudine <I>Lutetiæ,</I> e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15297 vim centri$ugam corporum &c. in Æquatore, a Terræ motu diurno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15298 oriundam, ut (2174 1/18) ad 7,54064.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15299 <p>Vis centrifuga corporum in Æquatore, e$t ad vim centrifugam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15300 qua corpora directe tendunt a Terra in Latitudine <I>Lutetiæ</I> gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15301 duum 48. 50′, in duplicata ratione Radii ad $inum complementi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15302 Latitudinis illius, id e$t, ut 7,54064 ad 3,267. Addatur hæc vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15303 ad vim qua gravia de$cendunt in Latitudine <I>Lutetiæ,</I> & corpus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15304 in Latitudine <I>Lutetiæ</I> vi tota gravitatis cadendo, tempore minuti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15305 unius $ecundi de$criberet lineas 2177,32, $eu pedes Pari$ien$es 15,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15306 dig. 1, & lin. 5,32. Et vis tota gravitatis in Latitudine illa, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15307 ad vim centri$ugam corporum &c. in Æquatore Terræ, ut 2177,32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15308 ad 7,54064, $eu 289 ad 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15309 <p>Unde $i <I>APBQ</I> figuram Terræ de$ignet jom non amplius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15310 Sphæricam $ed revolutione Ellip$eos circum axem minorem <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15311 genitam, $itque <I>ACQqca</I> canalis aquæ ple-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15312 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15313 na, a polo <I>Qq</I> ad centrum <I>Cc,</I> & inde ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15314 Æquatorem <I>Aa</I> pergens: debebit pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15315 aquæ in canalis crure <I>ACca,</I> e$$e ad pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15316 aquæ in crure altero <I>QCcq</I> ut 289 ad 288,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15317 eo quod vis centrifuga ex circulari motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15318 orta partem unam e ponderis partibus 289
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15319 $u$tinebit ac detrahet, & pondus 288 in al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15320 tero crure $u$tinebit reliquas. Porro (ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15321 Propo$itionis XCI. Corollario $ecundo, Lib.I.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15322 computationem ineundo, invenio quod $i Terra con$taret ex uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15323 formi materia, motuque omni privaretur, & e$$et ejus axis <I>PQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15324 <pb n=380>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15325 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15326 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15327 ad diametrum <I>AB</I> ut 100 ad 101: gravitas in loco <I>Q</I> in Terram,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15328 foret ad gravitatem in eodem loco <I>Q</I> in Sphæram centro <I>C</I> radio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15329 <I>PC</I> vel <I>QC</I> de$criptam, ut 126 ad 125. Et eodem argumento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15330 gravitas in loco <I>A</I> in Sphæroidem, convolutione Ellip$eos <I>APBQ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15331 circa axem <I>AB</I> de$criptam, e$t ad gravitatem in eodem loco <I>A</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15332 Sphæram centro <I>C</I> radio <I>AC</I> de$criptam, ut 125 ad 126. E$t au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15333 tem gravitas in loco <I>A</I> in Terram, media proportionalis inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15334 gravitates in dictam Sphæroidem & Sphæram: propterca quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15335 Sphæra, diminuendo diametrum <I>PQ</I> in ratione 101 ad 100,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15336 vertitur in figuram Terræ; & hæc figura diminuendo in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15337 ratione diametrum tertiam, quæ diametris duabus <I>AB, PQ</I> per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15338 pendicularis e$t, vertitur in dictam Sphæroidem; & gravitas in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15339 <I>A,</I> in ca$u utroque, diminuitur in eadem ratione quam proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15340 E$t igitur gravitas in <I>A</I> in Sphæram centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15341 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15342 <I>C</I> radio <I>AC</I> de$criptam, ad gravitatem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15343 <I>A</I> in Terram ut 126 ad 125 1/2, & gravitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15344 in loco <I>Q</I> in Sphæram centro <I>C</I> radio <I>QC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15345 de$criptam, e$t ad gravitatem in loco <I>A</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15346 Sphæram centro <I>C</I> radio <I>AC</I> de$criptam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15347 in ratione diametrorum (per Prop. LXXII.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15348 Lib. I.) id e$t, ut 100 ad 101. Conjungan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15349 tur jam hæ tres rationes, 126 ad 125, 126
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15350 ad 125 1/2, & 100 ad 101: & fiet gravitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15351 in loco <I>Q</I> in Terram, ad gravitatem in loco <I>A</I> in Terram, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15352 126X126X100 ad 125X125 1/2X101, $eu ut 501 ad 500.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15353 <p>Jam cum (per Corol. 3. Prop. XCI. Lib. I.) gravitas in canalis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15354 crure utrovis <I>ACca</I> vel <I>QCcq</I> $it ut di$tantia locorum a centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15355 Terræ; $i crura illa $uperficiebus tran$ver$is & æquidi$tantibus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15356 $tinguantur in partes totis proportionales, erunt pondera partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15357 $ingularum in crure <I>ACca</I> ad pondera partium totidem in crure
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15358 altero, ut magnitudines & gravitates acceleratrices conjunctim; id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15359 e$t, ut 101 ad 100 & 500 ad 501, hoc e$t, ut 505 ad 501. Ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15360 proinde $i vis centrifuga partis cuju$que in crure <I>ACca</I> ex motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15361 diurno oriunda, fui$$et ad pondus partis eju$dem ut 4 ad 505, eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15362 ut de pondere partis cuju$que, in partes 505 divi$o, partes qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15363 tuor detraheret; manerent pondera in utroque crure æqualia, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15364 propterea fluidum con$i$teret in æquilibrio. Verum vis centrifuga
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15365 partis cuju$que e$t ad pondus eju$dem ut 1 ad 289, hoc e$t, vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15366 centrifuga quæ deberet e$$e ponderis pars (4/<*>05) e$t tantum pars (1/289).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15367 <pb n=381>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15368 Et propterea dico, $ecundum Regulam auream, quod $i vis cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15369 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15370 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15371 trifuga (4/505) faciat ut altitudo aquæ in crure <I>ACca</I> $uperet altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15372 dinem aquæ in crure <I>QCcq</I> parte cente$ima totius altitudinis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15373 vis centri$uga (1/289) faciet ut exce$$us altitudinis in crure <I>ACca</I> $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15374 altitudinis in crure altero <I>QCcq</I> pars tantum (1/229). E$t igitur dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15375 meter Terræ $ecundum æquatorem ad ip$ius diametrum per polos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15376 ut 230 ad 229. Ideoque cum Terræ $emidiameter mediocris, juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15377 men$uram <I>Ca$$ini,</I> $it. pedum Pari$ien$ium 19695539, $eu milliarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15378 3939 (po$ito quod milliare $it men$ura pedum 5000) Terra altior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15379 erit ad Æquatorem quam ad Polos exce$$u pedum 85820, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15380 milliarum 17 1/6.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15381 <p>Si Planeta major $it vel minor quam Terra manente ejus den-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15382 $itate ac tempore periodico revolutionis diurnæ, manebit pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15383 portio vis centrifugæ ad gravitatem, & propterea manebit etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15384 proportio diametri inter polos ad dimetrum $ecundum æquato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15385 rem. At $i motus diurnus in ratione quacunque acceleretur vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15386 retardetur, augebitur vel minuetur vis centrifuga in duplicata illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15387 ratione, & propterea differentia diametrorum augebitur vel mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15388 nuetur in eadem duplicata ratione quamproxime. Et $i den$itas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15389 Planetæ augeatur vel minuatur in ratione quavis, gravitas etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15390 in ip$um tendens augebitur vel minuetur in eadem ratione, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15391 differentia diametrorum vici$$im minuetur in ratione gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15392 auctæ vel augebitur in ratione gravitatis diminutæ. Unde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15393 Terra re$pectu fixarum revolvatur horis 23. 56′, Jupiter autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15394 horis 9. 56′, $intque temporum quadrata ut 29 ad 5, & den$itates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15395 ut 5 ad 1: differentia diametrorum Jovis erit ad ip$ius diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15396 trum minorem ut (29/5)X<*>/1X(1/229) ad 1, $eu 1 ad 8 quamproxime. E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15397 igitur diameter Jovis ab oriente in occidentem ducta, ad ejus dia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15398 metrum inter polos ut 9 ad 8 quamproxime, & propterea diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15399 ter inter polos e$t 35 1/2″. Hæc ita $e habent ex hypothe$i quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15400 uniformis $it Planetarum materia. Nam $i materia den$ior $it ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15401 centrum quam ad circumferentiam; diameter quæ ab oriente in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15402 occidentem ducitur, erit adhuc major.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15403 <p>Jovis vero diametrum quæ polis ejus interjacet minorem e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15404 diametro altera <I>Ca$$inus</I> dudum ob$ervavit, & Terræ diametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15405 inter polos minorem e$$e diametro altera patebit per ea quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15406 dicentur in Propo$itione $equente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15407 <pb n=382>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15408 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15409 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15410 <C>PROPOSITIO XX. PROBLEMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15411 <p><I>Invenire & inter $e comparare Pondera corporum in Terræ hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15412 regionibus diver$is.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15413 <p>Quoniam pondera inæqualium crurum canalis aqueæ <I>ACQqca</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15414 æqualia $unt; & pondera partium, cruribus totis proportionalium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15415 & $imiliter in totis $itarum, $unt ad invicem ut pondera totorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15416 adeoque etiam æquantur inter $e; erunt pondera æqualium & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15417 cruribus $imiliter $itarum partium reciproce ut crura, id e$t, reci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15418 proce ut 230 ad 229. Et par e$t ratio homogeneorum & æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15419 lium quorumvis & in canalis cruribus $imiliter $itorum corporum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15420 Horum pondera $unt reciproce ut crura, id e$t, reciproce ut di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15421 $tantiæ corporum a centro Terræ. Proinde $i corpora in $upre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15422 mis canalium partibus, $ive in $uperficie Terræ con$i$tant; erunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15423 pondera eorum ad invicem reciproce ut di$tantiæ eorum a centro.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15424 Et eodem argumento pondera, in aliis quibu$cunque per totam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15425 Terræ $uperficiem regionibus, $unt reciproce ut di$tantiæ locorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15426 a centro; & propterea, ex Hypothe$i quod Terra Sphærois $it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15427 dantur proportione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15428 <p>Unde tale confit Theorema, quod incrementum ponderis per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15429 gendo ab Æquatore ad Polos, $it quam proxime ut $inus ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15430 Latitudinis duplicatæ, vel, quod perinde e$t, ut quadratum $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15431 recti Latitudinis. Et in eadem circiter ratione augentur arcus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15432 graduum Latitudinis in Meridiano. Ideoque cum Latitudo <I>Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15433 tetiæ Pari$iorum</I> $it 48<SUP>gr.</SUP> 50′, ea locorum $ub Æquatore 00<SUP>gr.</SUP> 00′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15434 & ea locorum ad Polos 90<SUP>gr.</SUP> & duplorum $inus ver$i $int 11334,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15435 00000 & 20000, exi$tente Radio 10000, & gravitas ad Polum $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15436 ad gravitatem $ub Æquatore ut 230 ad 229, & exce$$us gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15437 tatis ad Polum ad gravitatem $ub Æquatore ut 1 ad 229: erit ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15438 ce$$us gravitatis in Latitudine <I>Lutetiæ</I> ad gravitatem $ub Æquatore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15439 ut 1X(11334/20000) ad 229, $eu 5667 ad 2290000. Et propterea gravitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15440 totæ in his locis erunt ad invicem ut 2295667 ad 2290000. Quare
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15441 cum longitudines pendulorum æqualibus temporibus o$cillantium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15442 $int ut gravitates, & in Latitudine <I>Lutetiæ Pari$iorum</I> longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15443 penduli $ingulis minutis $ecundis o$cillantis $it pedum trium Pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15444 ri$ien$ium & linearum 8 <*>/9: longitudo penduli $ub Æquatore $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15445 perabitur a longitudine $ynchroni penduli <I>Pari$ien$is,</I> exce$$u li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15446 neæ unius & 87 partium mille$imarum lineæ. Et $imili computo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15447 confit Tabula $equens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15448 <pb n=383>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15449 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15450 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15451 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15452 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15453 <TD ALIGN="CENTER"><I>Latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15454 Loci</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15455 <TD COLSPAN="2" ALIGN="CENTER"><I>Longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15456 Penduli</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15457 <TD ALIGN="CENTER"><I>Men$ura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15458 Gradus unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15459 in Meridiano</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15460 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15461 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15462 <TD ALIGN="CENTER">Gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15463 <TD ALIGN="CENTER">Ped.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15464 <TD ALIGN="CENTER">Lin.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15465 <TD ALIGN="CENTER">Hexaped.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15466 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15467 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15468 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15469 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15470 <TD>7,468</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15471 <TD ALIGN="CENTER">56909</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15472 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15473 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15474 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15475 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15476 <TD>7,482</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15477 <TD ALIGN="CENTER">56914</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15478 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15479 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15480 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15481 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15482 <TD>7,526</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15483 <TD ALIGN="CENTER">56931</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15484 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15485 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15486 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15487 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15488 <TD>7,596</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15489 <TD ALIGN="CENTER">56959</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15490 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15491 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15492 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15493 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15494 <TD>7,692</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15495 <TD ALIGN="CENTER">56996</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15496 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15497 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15498 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15499 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15500 <TD>7,811</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15501 <TD ALIGN="CENTER">57042</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15502 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15503 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15504 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15505 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15506 <TD>7,948</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15507 <TD ALIGN="CENTER">57096</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15508 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15509 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15510 <TD ALIGN="RIGHT">35</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15511 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15512 <TD>8,099</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15513 <TD ALIGN="CENTER">57155</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15514 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15515 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15516 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15517 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15518 <TD>8,261</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15519 <TD ALIGN="CENTER">57218</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15520 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15521 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15522 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15523 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15524 <TD>8,294</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15525 <TD ALIGN="CENTER">57231</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15526 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15527 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15528 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15529 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15530 <TD>8,327</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15531 <TD ALIGN="CENTER">57244</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15532 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15533 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15534 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15535 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15536 <TD>8,361</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15537 <TD ALIGN="CENTER">57257</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15538 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15539 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15540 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15541 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15542 <TD>8,394</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15543 <TD ALIGN="CENTER">57270</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15544 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15545 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15546 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15547 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15548 <TD>8,428</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15549 <TD ALIGN="CENTER">57283</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15550 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15551 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15552 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15553 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15554 <TD>8,461</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15555 <TD ALIGN="CENTER">57296</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15556 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15557 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15558 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15559 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15560 <TD>8,494</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15561 <TD ALIGN="CENTER">57309</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15562 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15563 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15564 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15565 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15566 <TD>8,528</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15567 <TD ALIGN="CENTER">57322</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15568 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15569 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15570 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15571 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15572 <TD>8,561</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15573 <TD ALIGN="CENTER">57335</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15574 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15575 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15576 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15577 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15578 <TD>8,594</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15579 <TD ALIGN="CENTER">57348</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15580 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15581 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15582 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15583 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15584 <TD>8,756</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15585 <TD ALIGN="CENTER">57411</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15586 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15587 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15588 <TD ALIGN="RIGHT">60</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15589 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15590 <TD>8,907</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15591 <TD ALIGN="CENTER">57470</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15592 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15593 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15594 <TD ALIGN="RIGHT">65</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15595 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15596 <TD>9,044</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15597 <TD ALIGN="CENTER">57524</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15598 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15599 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15600 <TD ALIGN="RIGHT">70</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15601 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15602 <TD>9,162</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15603 <TD ALIGN="CENTER">57570</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15604 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15605 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15606 <TD ALIGN="RIGHT">75</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15607 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15608 <TD>9,258</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15609 <TD ALIGN="CENTER">57607</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15610 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15611 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15612 <TD ALIGN="RIGHT">80</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15613 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15614 <TD>9,329</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15615 <TD ALIGN="CENTER">57635</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15616 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15617 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15618 <TD ALIGN="RIGHT">85</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15619 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15620 <TD>9,372</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15621 <TD ALIGN="CENTER">57652</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15622 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15623 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15624 <TD ALIGN="RIGHT">90</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15625 <TD>3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15626 <TD>9,387</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15627 <TD ALIGN="CENTER">57657</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15628 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15629 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15630 <p>Con$tat autem per hanc Tabulam, quod graduum inæqualitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15631 tam parva $it, ut in rebus Geographicis figura Terræ pro Sphæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15632 rica haberi po$$it, quodque inæqualitas diametrorum Terræ faci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15633 lius & certius per experimenta pendulorum deprehendi po$$it vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15634 etiam per Eclip$es Lunæ, quam per arcus Geographice men$uratos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15635 in Meridiano.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15636 <pb n=384>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15637 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15638 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15639 <p>Hæc ita $e habent ex hypothe$i quod Terra ex uniformi ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15640 teria con$tat. Nam $i materia ad centrum paulo den$ior $it quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15641 ad $uperficiem, differentiæ pendulorum & graduum Meridiani
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15642 paulo majores erunt quam pro Tabula præcedente, propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15643 quod $i materia ad centrum redundans qua den$itas ibi major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15644 redditur, $ubducatur & $eor$im $pectetur, gravitas in Terram re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15645 liquam uniformiter den$am, erit reciproce ut di$tantia ponderis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15646 a centro; in materiam vero redundantem reciproce ut quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15647 di$tantiæ a materia illa quamproxime. Gravitas igitur $ub æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15648 tore minor e$t in materiam illam redundantem quam pro com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15649 puto $uperiore: & propterea Terra ibi, propter defectum gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15650 tis, paulo altius a$cendet, & exce$$us longitudinum Pendulorum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15651 graduum ad polos paulo majores erunt quam in præcedentibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15652 definitum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15653 <p>Jam vero A$tronomi aliqui in longinquas regiones ad ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15654 tiones A$tronomicas faciendas mi$$i, invenerunt quod horologia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15655 o$cillatoria tardius moverentur prope Æquatorem quam in regi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15656 onibus no$tris. Et primo quidem <I>D. Richer</I> hoc ob$ervavit anno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15657 1672 in in$ula <I>Cayennæ.</I> Nam dum ob$ervaret tran$itum Fixarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15658 per meridianum men$e <I>Augu$to,</I> reperit horologium $uum tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15659 moveri quam pro medio motu Solis, exi$tente differentia 2′. 28″
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15660 $ingulis diebus. Deinde faciendo ut Pendulum $implex ad minuta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15661 $ingula $ecunda per horologium optimum men$urata o$cillaret,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15662 notavit longitudinem Penduli $implicis, & hoc fecit $æpius $ingu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15663 lis $eptimanis per men$es decem. Tum in <I>Galliam</I> redux contulit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15664 longitudinem hujus Penduli cum longitudine Penduli <I>Pari$ien$is</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15665 (quæ erat trium pedum Pari$ien$ium, & octo linearum cum tribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15666 quintis partibus lineæ) & reperit breviorem e$$e, exi$tente diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15667 rentia lineæ unius cum quadrante. At ex tarditate horologii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15668 o$cillatorii in <I>Cayenna,</I> differentia Pendulorum colligitur e$$e lineæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15669 unius cum $emi$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15670 <p>Po$tea <I>Halleius</I> no$ter circa annum 1677 ad in$ulam <I>S<SUP>sa</SUP> Hel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15671 lenæ</I> navigans, reperit horologium $uum o$cillatorium ibi tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15672 moveri quam <I>Londini,</I> $ed differentiam non notavit. Pendulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15673 vero brevius reddidit plu$quam octava parte digiti, $eu linea una
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15674 cum $emi$$e. Et ad hoc efficiendum, cum longitudo cochleæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15675 ima parte penduli non $ufficeret, annulum ligneum thecæ cochleæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15676 & ponderi pendulo interpo$uit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15677 <p>Deinde anno 1682 <I>D. Varin</I> & <I>D. Des Hayes</I> invenerunt lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15678 gitudinem Penduli $ingulis minutis $ecundis o$cillantis in Ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15679 <pb n=385>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15680 vatorio Regio <I>Pari$ien$i</I> e$$e ped. 3. lin. 8 1/9. Et in in$ula <I>Gorea</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15681 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15682 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15683 eadem methodo longitudinem Penduli $ynchroni invenerunt e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15684 ped. 3. lin. 6 5/9, exi$tente longitudinum differentia lin. 2. Et eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15685 anno ad in$ulas <I>Guadaloupam</I> & <I>Martinicam</I> navigantes, invenerunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15686 longitudinem Penduli $ynchroni in his in$ulis e$$e ped. 3. lin. 6 1/3.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15687 <p>Po$thac <I>D. Couplet</I> filius anno 1697 men$e <I>Julio,</I> horologium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15688 $uum o$cillatorium ad motum Solis medium in Ob$ervatorio Regio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15689 <I>Pari$ien$i</I> $ic aptavit, ut tempore $atis longo horologium cum motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15690 Solis congrueret. Deinde <I>Uly$$ipponem</I> navigans invenit quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15691 men$e <I>Novembri</I> proximo horologium tardius iret quam prius,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15692 exi$tente differentia 2′. 13″ in horis 24. Et men$e <I>Martio</I> $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15693 quente <I>Paraibam</I> navigans invenit ibi horologium $uum tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15694 ire quam <I>Pari$iis,</I> exi$tente differentia 4′. 12″ in horis 24. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15695 affirmat Pendulum ad minuta $ecunda o$cillans brevius fui$$e <I>Uly$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15696 $ipponi</I> lineis 2 1/2 & <I>Paraibæ</I> lineis 3 2/3 quam <I>Pari$iis.</I> Rectius po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15697 $ui$$et differentias e$$e 1 1/3 & 2 5/9. Nam hæ differentiæ differen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15698 tiis temporum 2′. 13″, & 4′. 12″ re$pondent. Cra$$ioribus hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15699 Ob$ervationibus minus fidendum e$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15700 <p>Annis proximis (1699 & 1700) <I>D. Des Hayes</I> ad <I>Americam</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15701 denuo navigans, determinavit quod in in$ulis <I>Cayennæ</I> & <I>Granadæ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15702 longitudo Penduli ad minuta $ecunda o$cillantis, e$$et paulo minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15703 quam ped. 3. lin. 6 1/2, quodque in in$ula <I>S. Chri$tophori</I> longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15704 illa e$$et ped. 3. lin. 6 1/4, & quod in in$ula <I>S. Dominici</I> eadem e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15705 ped. 3. lin. 7.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15706 <p>Annoque 1704. <I>P. Feuelleus</I> invenit in <I>Porto-belo</I> in <I>America</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15707 longitudinem Penduli ad minuta $ecunda o$cillantis, e$$e pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15708 trium Pari$ien$ium & linearum tantum (5 7/12), id e$t, tribus fere li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15709 neis breviorem quam <I>Lutetiæ Pari$iorum,</I> $ed errante Ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15710 tione. Nam deinde ad in$ulam <I>Martinicam</I> navigans, invenit lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15711 gitudinem Penduli i$ochroni e$$e pedum tantum trium Pari$ien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15712 $ium & linearum (5 10/12).
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15713 <p>Latitudo autem <I>Paraibæ</I> e$t 6<SUP>gr.</SUP> 38′ ad au$trum, & ea <I>Porto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15714 beli</I> 9<SUP>gr.</SUP> 33′ ad boream, & Latitudines in$ularum <I>Cayennæ, Goreæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15715 Guadaloupæ, Martinicæ, Granadæ, S<SUP>ti.</SUP> Chri$tophori,</I> & <I>S<SUP>ti.</SUP> Domi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15716 nici</I> $unt re$pective 4<SUP>gr.</SUP> 55′, 14<SUP>gr.</SUP> 40′, 14<SUP>gr.</SUP> 00′, 14<SUP>gr.</SUP> 44′, 12<SUP>gr.</SUP> 6′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15717 17<SUP>gr.</SUP> 19′, & 19<SUP>gr.</SUP> 48′ ad boream. Et exce$$us longitudinis Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15718 duli <I>Pari$ien$is</I> $upra longitudines Pendulorum i$ochronorum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15719 his latitudinibus ob$ervatas, $unt paulo majores quam pro Ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15720 bula longitudinum Penduli $uperius computata. Et propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15721 Terra aliquanto altior e$t $ub Æquatore quam pro $uperiore cal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15722 <pb n=386>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15723 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15724 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15725 culo, & den$ior ad centrum quam in fodinis prope $uperficiem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15726 ni$i forte calores in Zona torrida longitudinem Pendulorum ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15727 quantulum auxerint.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15728 <p>Ob$ervavit utique <I>D. Picartus</I> quod virga ferrea, quæ tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15729 hyberno ubi gelabant frigora erat pedis unius longitudine, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15730 ignem calefacta eva$it pedis unius cum quarta parte lineæ. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15731 inde <I>D. de la Hire</I> ob$ervavit quod virga ferrea quæ tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15732 con$imili hyberno $ex erat pedum longitudinis, ubi Soli æ$tivo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15733 exponebatur eva$it $ex pedum longitudinis cum duabus tertiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15734 partibus lineæ. In priore ca$u calor major fuit quam in po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15735 riore, in hoc vero major fuit quam calor externarum partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15736 corporis humani. Nam metalla ad Solem æ$tivum valde incale-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15737 $cunt. At virga penduli in horologio o$cillatorio nunquam ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15738 poni $olet calori Solis æ$tivi, nunquam calorem concipit calori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15739 externæ $uperficiei corporis humani æqualem. Et propterea virga
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15740 Penduli in horologio tres pedes longa, paulo quidem longior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15741 erit tempore æ$tivo quam hyberno, $ed exce$$u quartam partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15742 lineæ unius vix $uperante. Proinde differentia tota longitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15743 pendulorum quæ in diver$is regionibus i$ochrona $unt, diver$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15744 calori attribui non pote$t. Sed neque erroribus A$tronomorum è
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15745 <I>Gallia</I> mi$$orum tribuenda e$t hæc differentia. Nam quamvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15746 eorum ob$ervationes non perfecte congruant inter $e, tamen erro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15747 res $unt adeo parvi ut contemni po$$int. Et in hoc concordant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15748 omnes, quod i$ochrona pendula $unt breviora $ub Æquatore quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15749 in Ob$ervatorio Regio <I>Pari$ien$i,</I> exi$tente differentia duarum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15750 citer linearum $eu $extæ partis digiti. Per ob$ervationes <I>D. Ri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15751 cher</I> in <I>Cayenna</I> factas, differentia fuit lineæ unius cum $emi$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15752 Error $emi$$is lineæ facile committitur. Et <I>D. des Hayes</I> po$tea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15753 per ob$ervationes $uas in eadem in$ula factas errorem correxit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15754 inventa differentia linearum (2 1/18). Sed & per ob$ervationes in in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15755 $ulis <I>Gorea, Guadaloupa, Martinica, Granada, S. Chri$tophori,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15756 <I>S. Dominici</I> factas & ad Æquatorem reductas, differentia illa pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15757 diit haud minor quam (1 19/20) lineæ, haud major quam 2 1/2 linearum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15758 Et inter hos limites quantitas mediocris e$t (2 9/40) linearum. Prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15759 ter calores locorum in Zona torrida negligamus (9/40) partes lineæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15760 & manebit differentia duarum linearum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15761 <p>Quare cum differentia illa per Tabulam præcedentem, ex hy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15762 pothe$i quod Terra ex materia uniformiter den$a con$tat, $it tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15763 tum (1 87/1000) lineæ: exce$$us altitudinis Terræ ad æquatorem $upra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15764 altitudinem ejus ad polos, qui erat milliarium 17 1/6, jam auctus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15765 <pb n=387>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15766 ratione differentiarum, fiet milliarium (31 7/18). Nam tarditas Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15767 <MARG>LIBFR
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15768 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15769 duli $ub Æquatore defectum gravitatis arguit; & quo levior e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15770 materia eo major e$$e debet altitudo ejus, ut pondere $uo mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15771 riam $ub Polis in æquilibrio $u$tineat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15772 <p>Hinc figura umhræ Terræ per Eclip$es Lunæ determinanda, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15773 erit omnino circularis, $ed diameter ejus ab oriente in occidentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15774 ducta major erit quam diameter ejus ab au$tro in boream ducta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15775 exce$$u 55″ circiter. Et parallaxis maxima Lunæ in Longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15776 nem paulo major erit quam ejus parallaxis maxima in Latitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15777 nem. Ac Terræ $emidiameter maxima erit podum Pari$ien$ium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15778 19767630, minima pedum 19609820 & mediocris pedum 1968<*>725<SUP>1</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15779 quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15780 <p>Cum gradus unus men$urante <I>Picarto</I> $it hexapedarum 57060,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15781 men$urante vero <I>Ca$$ino</I> $it hexapedarum 57292: $u$picantur ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15782 qui gradum unumquemque, pergenda per <I>Gallies</I> au$tr<*> ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15783 majorem e$$e gradu præcedente hexapedia plus minus: 72, $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15784 parte octingente$ima gradus unius; exi$tente Perra Sphæroide ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15785 longa cujus partes ad polos $unt alti$$imæ. Quo po$ito, corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15786 omnia ad polos Terræ leviora forent quam ad Æquatorem, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15787 altitudo Terræ ad polos $uperaret altitudinem ejus ad æquatorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15788 milliaribus fere 95, & pendula i$ochrona longiora forent ad Æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15789 quatorem quem in Ob$ervatorio Regio <I>Pari$ieu$i</I> exce$$u $emi$$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15790 digiti circiter; ut con$erenti proportiones hic po$itas cum pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15791 portionibus in Tabula præcedente po$itis, facile con$tabit. Sed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15792 & diameter umbræ Terræ quæ ab au$tro in boream ducitur, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15793 jor foret quam diameter ejus quæ ab oriente in occidentem duci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15794 tur, exce$$u 2′. 46″, $eu parte duodecima diametri Lunæ. Qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15795 bus omnibus Experientia contrariatur. Certe <I>Ca$$inus,</I> definiendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15796 gradum unum e$$e hexapedarum 57292, medium inter men$uras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15797 $uas omnes, ex hypothe$i de æqualitate graduum a$$ump$it. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15798 quamvis <I>Picartus</I> in <I>Galliæ</I> limite boreali invenit gradum paulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15799 minorem e$$e, tamen <I>Norwoodus</I> no$ter in regionibus magis bore-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15800 alibus, men$urando majus intervallum, invenit gradum paulo majo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15801 rem e$$e quam <I>Ca$$inus</I> invenerat. Et <I>Ca$$inus</I> ip$e men$uram <I>Picarti,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15802 ob parvitatem intervalli men$urati, non $atis certam & exactam e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15803 judicavit ubi men$uram gradus unius per intervallum longe majus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15804 definire aggre$$us e$t. Differentiæ vero inter men$uras <I>Ca$$ini, Pi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15805 carti,</I> & <I>Norwoodi</I> $unt prope in$en$ibiles, & ab in$en$ibilibus ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15806 $ervationum erroribus facilo oriri potuere, ut Nutationem axis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15807 Terræ præteream.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15808 <pb n=388>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15809 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15810 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15811 <C>PROPOSITIO XXI. THEOREMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15812 <p><I>Puncta Æquinoctialia regredi, & axem Terræ $ingulis revoluti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15813 onibus annuis nutando bis inclinari in Eclipticam & bis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15814 dire ad po$itionem priorem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15815 <p>Patet per Corol. 20. Prop. LXVI. Lib. I. Motus tamen i$te
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15816 nutandi perexiguus e$$et debet, & vix aut ne vix quidem $en-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15817 $ibilis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15818 <C>PROPOSITIO XXII. THEOREMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15819 <p><I>Motus omnes Lunares, omne$que motuum inæqualitates ex alla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15820 tis Principiis con$equi.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15821 <p>Planetas majores, interea dum circa Solem feruntur, po$$e alios
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15822 minores circum $e revolventes Planetas deferre, & minores illos in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15823 Ellip$ibus, umbilicos in centris majorum habentibus, revolvi de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15824 bere patet per Prop. LXV. Lib. I. Actione autem Solis perturba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15825 buntur eorum motus multimode, ii$que adficientur inæqualitati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15826 bus quæ in Luna no$tra notantur. Hæc utique (per Corol. 2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15827 3, 4, & 5. Prop. LXVI.) velocius movetur, ac radio ad Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15828 ducto de$cribit aream pro tempore majorem, Orbemque habet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15829 minus curvum, atque adeo propius accedit ad Terram, in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15830 quam in Quadraturis, ni$i quatenus impedit motus Eccentricitatis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15831 Eccentricitas enim maxima e$t (per Corol. 9. Prop. LXVI.) ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15832 Apogæum Lunæ in Syzygiis ver$atur, & minima ubi idem in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15833 draturis con$i$tit; & inde Luna in Perigæo velocior e$t & nobis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15834 propior, in Apogæo autem tardior & remotior in Syzygiis quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15835 in Quadraturis. Progreditur in$uper Apogæum, & regrediuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15836 Nodi, $ed motu inæquabili. Et Apogæum quidem (per Corol. 7.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15837 & 8. Prop. LXVI.) velocius progreditur in Syzygiis $uis, tardius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15838 regreditur in Quadraturis, & exce$$u progre$$us $upra regre$$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15839 annuatim fertur in con$equentia. Nodi autem (per Corol. 11.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15840 Prop. LXVI.) quie$cunt in Syzygiis $uis, & veloci$$ime regrediun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15841 tur in Quadraturis. Sed & major e$t Lunæ latitudo maxima in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15842 ip$ius Quadraturis (per Corol. 10. Prop. LXVI.) quam in Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15843 giis: & motus medius tardior in Perihelio Terræ (per Corol. 6.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15844 <pb n=389>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15845 Prop. LXVI,) quam in ip$ius Aphelio. Atque hæ $unt inæquali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15846 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15847 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15848 tates in$igniores ab A$tronomis notatæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15849 <p>Sunt etiam aliæ quædam nondum ob$ervatæ inæqualitates, qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15850 bus motus Lunares adeo perturbantur, ut nulla hactenus lege ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15851 Regulam aliquam certam reduci potuerint. Velocitates enim $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15852 motus horarii Apogæi & Nodorum Lunæ, & eorundem æquati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15853 ones, ut & differentia inter Eccentricitatem maximam in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15854 & minimam in Quadraturis, & inæqualitas quæ Variatio dicitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15855 augentur ac diminuuntur annuatim (per Corol. 14. Prop. LXVI.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15856 in triplicata ratione diametri apparentis Solaris. Et Variatio præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15857 terea augetur vel diminuitur in duplicata ratione temporis in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15858 ter quadraturas quam proxime (per Corol. 1. & 2. Lem. X. &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15859 Corol. 16. Prop. LXVI. Lib. I.) Sed hæc inæqualitas in calculo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15860 A$tronomico, ad Pro$thaphære$in Lunæ referri $olet, & cum ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15861 confundi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15862 <C>PROPOSITIO XXIII. PROBLEMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15863 <p><I>Motus inæquales Satellitum Jovis & Saturni à motibus Luna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15864 ribus derivare.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15865 <p>Ex motibus Lunæ no$træ motus analogi Lunarum $eu Satelli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15866 tum Jovis $ic derivantur. Motus medius Nodorum Satellitis ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15867 timi Jovialis, e$t ad motum medium Nodorum Lunæ no$træ, in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15868 tione compo$ita ex ratione duplicata temporis periodici Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15869 circa Solem ad tempus periodicum Jovis circa Solem, & ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15870 $implici temporis periodici Satellitis circa Jovem ad tempus perio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15871 dicum Lunæ circa Terram: (per Corol. 16. Prop. LXVI.) adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15872 annis centum conficit Nodus i$te 8<SUP>gr.</SUP> 24′. in antecedentia. Motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15873 medii Nodorum Satellitum interiorum $unt ad motum hujus, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15874 illorum tempora periodica ad tempus periodicum hujus, per idem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15875 Corollarium, & inde dantur. Motus autem Augis Satellitis cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15876 ju$que in con$equentia, e$t ad motum Nodorum ip$ius in antece-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15877 dentia, ut motus Apogæi Lunæ no$træ ad hujus motum Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15878 rum, (per idem Corol.) & inde datur. Diminui tamen debet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15879 motus Augis $ic inventus in ratione 5 ad 9 vel 1 ad 2 circiter, ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15880 cau$am quam hic exponere non vacat. Æquationes maximæ No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15881 dorum & Augis Satellitis cuju$que fere $unt ad æquationes maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15882 mas Nodorum & Augis Lunæ re$pective, ut motus Nodorum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15883 Augis Satellitum tempore unius revolutionis æquationum prio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15884 <pb n=390>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15885 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15886 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15887 rum, ad motus Nodorum & Apogæi Lunæ tempore unius revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15888 lutionis æquationum po$teriorum. Variatio Satellitis è Jove $pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15889 ctati, e$t ad Variationem Lunæ, ut $unt ad invicem toti motus No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15890 dorum temporibus quibus Satelles & Luna ad Solem revolvuntur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15891 per idem Corollarium; adeoque in Satellite extimo non $uperat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15892 5″. 12‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15893 <C>PROPOSITIO XXIV. THEOREMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15894 <C><I>Fluxum & refluxum Maris ab actionibus Solis ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15895 Lunæ oriri.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15896 <p>Mare $ingulis diebus tam Lunaribus quam Solaribus bis intu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15897 me$cere debere ac bis defluere, patet per Corol. 19. Prop. LXVI.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15898 Lib.I. ut & aquæ maximam altitudinem, in maribus profundis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15899 & liberis, appul$um Luminarium ad Meridianum loci, minori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15900 quam $ex horarum $patio $equi, uti fit in Maris <I>Atlantici</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15901 <I>Æthiopici</I> tractu toto orientali inter <I>Galliam</I> & Promontorium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15902 <I>Bonæ Spei,</I> ut & in Maris <I>Pacifici</I> littore <I>Chilen$t</I> & <I>Peruvia<*></I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15903 in quibus omnibus littoribus æ$tus in horam circiter tertiam in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15904 cidit, ni$i ubi motus per loca vado$a propagatus aliquantulum re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15905 tardatur. Horas numero ab appul$u Luminaris utriufque ad Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15906 ridianum loci, tam infra Horizontem quam $upra, & per horas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15907 diei Lunaris intelligo vige$imas quartas partes temporis quo Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15908 motu apparente diurno ad Meridianum loci revolvitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15909 <p>Motus autem bini, quos Luminaria duo excitant, non oern<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15910 tur di$tincte, $ed motum quendam mixtum efficient. In Lumina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15911 rium Conjunctione vel Oppo$itione conjungentur eorum effectus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15912 & componetur fluxus & refluxus maximus. In Quadraturis Sol
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15913 attollet aquam ubi Luna deprimit, deprimetque ubi Sol attollit;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15914 & ex effectuum differentia æ$tus omnium minimus orietus. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15915 quoniam, experientia te$te, major e$t effectus Lunæ quam Solis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15916 incidet aquæ maxima altitudo in horam tertiam Lunarem. Ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15917 tra Syzygias & Quadraturas, æ$tus maximus qui $ola vi Lunari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15918 incidere $emper deberet in horam tertiam Lunarem, & $ola Solari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15919 in tertiam Solarem, compo$itis viribus incidet in tempus aliquod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15920 intermedium quod tertiæ Lunari propinquius e$t; adeoque in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15921 tran$itu Lunæ a Syzygiis ad Quadraturas, ubi hora tertia Solaris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15922 præcedit tertiam Lunarem, maxima aquæ altitudo præcedet etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15923 <pb n=391>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15924 tertiam Lunarem, ideque maximo intervallo paulo po$t Octantes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15925 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15926 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15927 Lunæ; & paribus intervallis æ$tus maximus $equetur horam ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15928 tiam Lunatem in tran$itu Lunæ a Quadraturis ad Syzygias. Hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15929 ita $unt in Mari aperto. Nam in o$tiis Fluviorum fluxus majo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15930 res cæteris paribus tardius ad <G>a)kmlw\</G> venient.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15931 <p>Pendent autem effectus Luminarium ex eorum di$tantiis a Terra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15932 In minoribus enim di$tantiis majores $unt eorum effectus, in ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15933 joribus minores, idque in triplicata ratione diametrorum appa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15934 rentium. Igitur Sol tempore hyberno, in Perigæo exi$tens, ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15935 jores edit effectus, efficitque ut æ$tus in Syzygiis paulo majores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15936 $int, & in Quadraturis paulo minores (cæteris paribus) quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15937 tempore æ$tivo; & Luna in Perigæo $ingulis men$ibus majores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15938 ciet æ$tus quam ante vel po$t dies quindecim, ubi in Apogæo ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15939 $atur. Vnde fit ut æ$tus duo omnino maximi in Syzygiis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15940 tinuis $e mutuo non $equantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15941 <p>Pendet etiam effectus utriu$que Luminaris ex ip$ius Declina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15942 tione $eu di$tautia ab Æquatore. Nam $i Luminare in polo con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15943 $titueretur, traheret illud $ingulas aquæ partes con$tanter, ab$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15944 actionis inten$ione & remi$$ione, adeoque nullam motus recipro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15945 cationem cieret. Igitur Luminaria recedendo ab æquatore polum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15946 ver$us, effectus $uos gradatim amittent, & propterea minores cie-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15947 bunt æ$tus in Syzygiis Sol$titialibus quam in Æquinoctialibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15948 In Quadraturis autem Sol$titialibus majores ciebunt æ$tus quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15949 in Quadraturis Æquinoctialibus; eo quod Lunæ jam in æquatore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15950 con$titutæ effectus maxime $uperat effectum Solis Incidunt igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15951 tur æ$tus maximi in Syzygias & minimi in Quadraturas Lumina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15952 rium, circa tempora Æquinoctii utriu$que. Et æ$tum maximum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15953 in Syzygiis comitatur $emper minimus in Quadraturis, ut experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15954 entia compertum e$t. Per minorem autem di$tantiam Solis a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15955 Terra, tempore hyberno quam tempore æ$tivo, fit ut æ$tus ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15956 ximi & minimi $æpius præcedant Æquinoctium vernum quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15957 $equantur, & $æpius $equantur autumnale quam præcedant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15958 <p>Pendent etiam effectus Luminarium ex locorum latitudine. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15959 $ignet <I>ApEP</I> Tellurem aquis profundis undique coopertam; <I>C</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15960 centrum ejus; <I>P, p</I> polos, <I>AE</I> Æquatorem; <I>F</I> locum quemvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15961 extra Æquatorem; <I>Ff</I> parallelum loci; <I>Dd</I> parallelum ei re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15962 $pondentem ex altera parte æquatoris; <I>L</I> locum quem Luna tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15963 bus ante horis occupabat; <I>H</I> locum Telluris ei perpendiculariter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15964 <pb n=392>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15965 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15966 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15967 $ubjectum; <I>h</I> locum huic oppo$itum; <I>K, k</I> loca inde gradibus 90
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15968 di$tantia, <I>CH, Ch</I> Maris altitudines maximas men$uratas a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15969 tro Telluris; & <I>CK, Ck</I> altitudines minimas: & $i axibus <I>Hh,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15970 Kk</I> de$cribatur Ellip$is, deinde Ellip$eos hujus revolutione circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15971 axem majorem <I>Hh</I> de$cribatur Sphærois <I>HPKhpk</I>; de$ignabit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15972 hæc figuram Maris quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15973 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15974 proxime, & erunt <I>CF, Cf,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15975 CD, Cd</I> altitudines Maris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15976 in locis <I>F, f, D, d.</I> Quin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15977 etiam $i in præfata Ellip$eos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15978 revolutione punctum quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15979 vis <I>N</I> de$cribat circulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15980 <I>NM,</I> $ecantem parallelos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15981 <I>Ff, Dd</I> in locis quibu$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15982 <I>R, T,</I> & æquatorem <I>AE</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15983 <I>S</I>; erit <I>CN</I> altitudo Maris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15984 in locis omnibus <I>R, S, T,</I> $itis in hoc circulo. Hinc in revolu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15985 tione diurna loci cuju$vis <I>F,</I> affluxus erit maximus in <I>F,</I> hora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15986 tertia po$t appul$um Lunæ ad Meridianum $upra Horizontem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15987 po$tea defluxus maximus in <I>Q</I> hora tertia po$t occa$um Lunæ;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15988 dein affluxus maximus in <I>f</I> hora tertia po$t appul$um Lunæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15989 Meridianum infra Horizontem; ultimo defluxus maximus in <I>Q</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15990 hora tertia po$t ortum Lunæ; & affluxus po$terior in <I>f</I> erit mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15991 nor quam affluxus prior in <I>F.</I> Di$tinguitur enim Mare totum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15992 duos omnino fluctus Hemi$phæricos, unum in Hemi$phærio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15993 <I>KHkC</I> ad Boream vergentem, alterum in Hemi$phærio oppo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15994 $ito <I>KhkC</I>; quos igitur fluctum Borealem & fluctum Au$tralem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15995 nominare licet. Hi fluctus $emper $ibi mutuo oppo$iti, veniunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15996 per vices ad Meridianos locorum $ingulorum, interpo$ito inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15997 vallo horarum Lunarium duodecim. Cumque regiones Boreales
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15998 magis participant fluctum Borealem, & Au$trales magis Au$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	15999 lem, inde oriuntur æ$tus alternis vicibus majores & minores, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16000 locis $ingulis extra æquatorem, in quibus luminaria oriuntur &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16001 occidunt. Æ$tus autem major, Luna in verticem loci declinante,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16002 incidet in horam circiter tertiam po$t appul$um Lunæ ad Meri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16003 dianum $upra Horizontem, & Luna declinationem mutante verte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16004 tur in minorem. Et fluxuum differentia maxima incidet in tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16005 pora Sol$titiorum; præ$ertim $i Lunæ Nodus a$cendens ver$atur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16006 in principio Arietis. Sic experientia compertum e$t, quod æ$tus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16007 matutini tempore hyberno $uperent ve$pertinos & ve$pertini tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16008 <pb n=395>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16009 Solem. Ea componitur ex partibus <I>SM, LM,</I> quarum <I>LM</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16010 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16011 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16012 ip$ius <I>SM</I> pars <I>TM</I> perturbat motum Lunæ, ut in Libri primi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16013 Prop. LXVI. & ejus Corollariis expo$itum e$t. Quatenus Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16014 & Luna circum commune gravitatis centrum revolvuntur, pertur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16015 babitur etiam motus Terræ circa centrum illud a viribus con$imi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16016 libus; $ed $ummas tam virium quam motuum referre licet ad Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16017 nam, & $ummas virium per lineas ip$is analogas <I>TM</I> & <I>ML</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16018 de$ignare. Vis <I>ML</I> (in mediocri $ua quantitate) e$t ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16019 centripetam, qua Luna in Orbe $uo circa Terram quie$centem ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16020 di$tantiam <I>PT</I> revolvi po$$et, in duplicata ratione temporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16021 periodicorum Lunæ circa Terram & Terræ circa Solem, (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16022 Corol. 17. Prop. LXVI. Lib.I.) hoc e$t, in duplicata ratione die-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16023 rum 27. <I>hor.</I>7. <I>min.</I>43. ad dies 365. <I>hor.</I> 6. <I>min.</I> 9. id e$t, ut 1000
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16024 ad 178725, $eu 1 ad (178 39/40). Invenimus autem in Propo$itione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16025 quarta quod, $i Terra & Luna circa commune gravitatis centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16026 revolvantur, earum di$tantia mediocris ab invicem erit 60 1/2 $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16027 diametrorum mediocrium Terræ quamproxime. Et vis qua Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16028 in Orbe circa Terram quie$centem, ad di$tantiam <I>PT</I> $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16029 trorum terre$trium 60 1/2 revolvi po$$et, e$t ad vim, qua eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16030 tempore ad di$tantiam $emidiametrorum 60 revolvi po$$et, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16031 60 1/2 ad 60; & hæc vis ad vim gravitatis apud nos ut 1 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16032 60X60 quamproxime. Ideoque vis mediocris <I>ML</I> e$t ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16033 gravitatis in $uperficie Terræ, ut 1X60 1/2 ad 60X60X60X(178 29/40),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16034 $eu 1 ad 638092, 6. Vnde ex proportione linearum <I>TM, ML,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16035 datur etiam vis <I>TM:</I> & hæ $unt vires Solis quibus Lunæ motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16036 perturbantur. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16037 <C>PROPOSITIO XXVI. PROBLEMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16038 <p><I>Invenire incrementum borarium areæ quam Luna, radio ad Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16039 ram ducto, in Orbe circulari de$cribit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16040 <p>Diximus aream, quam Luna radio ad Terram ducto de$cribit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16041 e$$e tempori proportionalem, ni$i quatenus motus Lunaris ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16042 actione Solis turbatur. Inæqualitatem momenti (vel incrementi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16043 horarii) hic inve$tigandam proponimus. Ut computatio facilior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16044 reddatur, fingamus orbem Lunæ circularem e$$e, & inæqualitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16045 omnes negligamus, ea $ola excepta, de qua hic agitur. Ob in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16046 gentem vero Solis di$tantiam, ponamus etiam lineas <I>SP, ST</I> $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16047 invicem parallelas e$$e. Hoc pacto vis <I>LM</I> reducetur $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16048 <pb n=396>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16049 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16050 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16051 ad mediocrem $uam quantitatem <I>TP,</I> ut & vis <I>TM</I> ad medio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16052 crem $uam quantitatem 3 <I>PK.</I> Hæ vires, per Legum Corol. 2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16053 componunt vim <I>TL</I>; & hæc vis, $i in radium <I>TP</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16054 perpendiculum <I>LE,</I> re$olvitur in vires <I>TE, EL,</I> quarum <I>TE,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16055 agendo $emper $ecundum radium <I>TP,</I> nec accelerat nec retardat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16056 de$criptionem areæ <I>TPC</I> radio illo <I>TP</I> factam; & <I>EL</I> agendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16057 $ecundum perpendiculum, accelerat vel retardat ipfam, quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16058 tum accelerat vel retardat Lunam. Acceleratio illa Lunæ, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16059 tran$itu ip$ius a Quadratura <I>C</I> ad Conjunctionem <I>A,</I> $ingulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16060 temporis momentis facta, e$t ut ip$a vis accelerans <I>EL,</I> hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16061 ut (<I>3PKXTK/TP</I>). Exponatur tempus per motum medium Luna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16062 rem, vel (quod eodem fere recidit) per angulum <I>CTP,</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16063 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16064 ctiam per arcum <I>CP.</I> Ad <I>CT</I> erigatur normalis <I>CG</I> ip$i <I>CT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16065 æqualis. Et divi$o arcu quadrantali <I>AC</I> in particulas innumeras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16066 æquales <I>Pp,</I> &c. per quas æquales totidem particulæ temporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16067 exponi po$$int, ductaque <I>pk</I> perpendiculari ad <I>CT,</I> jungatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16068 <I>TG</I> ip$is <I>KP, kp</I> productis occurrens in <I>F</I> & <I>f</I>; & erit <I>Kk</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16069 <I>PK</I> ut <I>Pp</I> ad <I>Tp,</I> hoc e$t in data ratione, adeoque <I>FKXKk</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16070 $eu area <I>FKkf,</I> ut (<I>3PKXTK/TP</I>), id e$t, ut <I>EL</I>; & compo$ite,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16071 area tota <I>GCKF</I> ut $umma omnium virium <I>EL</I> tempore toto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16072 <I>CP</I> impre$$arum in Lunam, atque adeo etiam ut velocitas hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16073 <pb n=397>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16074 $umma genita, id e$t, ut acceleratio de$criptionis areæ <I>CTP,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16075 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16076 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16077 incrementum momenti. Vis qua Luna circa Terram quie$centem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16078 ad di$tantiam <I>TP,</I> tempore $uo periodico <I>CADBC</I> dierum 27.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16079 <I>hor.</I> 7. <I>min.</I> 43. revolvi po$$et, efficeret ut corpus, tempore <I>CT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16080 cadendo, de$criberet longitudinem 1/2 <I>CT,</I> & velocitatem $imul
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16081 acquireret æqualem velocitati, qua Luna in Orbe $uo movetur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16082 Patet hoc per Corol. 9. Prop. IV. Lib. I. Cum autem perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16083 diculum <I>Kd</I> in <I>TP</I> demi$$um $it ip$ius <I>EL</I> pars tertia, & ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16084 $ius <I>TP</I> $eu <I>ML</I> in Octantibus pars dimidia, vis <I>EL</I> in Octan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16085 tibus, ubi maxima e$t, $uperabit vim <I>ML</I> in ratione 3 ad 2,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16086 adeoque erit ad vim illam, qua Luna tempore $uo periodico circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16087 Terram quie$centem revolvi po$$et, ut 100 ad 2/3X17872 1/2 $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16088 11915, & tempore <I>CT</I> velocitatem generare deberet quæ e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16089 pars (100/11915) velocitatis Lunaris, tempore autem <I>CPA</I> velocitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16090 majorem generaret in ratione <I>CA</I> ad <I>CT</I> $eu <I>TP.</I> Exponatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16091 vis maxima <I>EL</I> in Octantibus per aream <I>FKXKk</I> rectangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16092 1/2 <I>TPXPp</I> æqualem. Et velocitas, quam vis maxima tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16093 quovis <I>CP</I> generare po$$et, erit ad velocitatem quam vis omnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16094 minor <I>EL</I> eodem tempore generat, ut rectangulum 1/2 <I>TPXCP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16095 ad aream <I>KCGF</I>: tempore autem toto <I>CPA,</I> velocitates ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16096 nitæ erunt ad invicem ut rectangulum 1/2<I>TPXCA</I> & triangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16097 <I>TCG,</I> $ive ut arcus quadrantalis <I>CA</I> & radius <I>TP.</I> Ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16098 (per Prop. IX. Lib. V. Elem.) velocitas po$terior, toto tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16099 genita, erit pars (100/11915) velocitatis Lunæ. Huic Lunæ velocitati,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16100 quæ areæ momento mediocri analoga e$t, addatur & auferatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16101 dimidium velocitatis alterius; & $i momentum mediocre expona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16102 tur per numerum 11915, $umma 11915+50 $eu 11965 exhi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16103 bebit momentum maximum areæ in Syzygia <I>A,</I> ac differentia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16104 11915-50 $eu 11865 eju$dem momentum minimum in Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16105 turis. Igitur areæ temporibus æqualibus in Syzygiis & Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16106 turis de$criptæ, $unt ad invicem ut 11965 ad 11865. Ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16107 mentum minimum 11865 addatur momentum, quod $it ad mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16108 mentorum differentiam 100 ut trapezium <I>FKCG</I> ad triangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16109 lum <I>TCG</I> (vel quod perinde e$t, ut quadratum Sinus <I>PK</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16110 quadratum Radii <I>TP,</I> id e$t, ut <I>Pd</I> ad <I>TP</I>) & $umma exhi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16111 bebit momentum areæ, ubi Luna e$t in loco quovis interme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16112 dio <I>P.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16113 <p>Hæc omnia ita $e habent, ex Hypothe$i quod Sol & Terra qui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16114 e$cunt, & Luna tempore Synodico dierum 27. <I>hor.</I>7. <I>min.</I>43. re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16115 volvitur. Cum autem periodus Synodica Lunaris vere $it die-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16116 <pb n=398>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16117 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16118 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16119 rum 29. <I>hor.</I> 12. & <I>min.</I> 44. augeri debent momentorum incre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16120 menta in ratione temporis, id e$t, in ratione 1080853 ad 1000000.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16121 Hoc pacto incrementum totum, quod erat pars (100/11915) momenti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16122 mediocris, jam fiet eju$dem pars (100/11023). Ideoque momentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16123 areæ in Quadratura Lunæ erit ad ejus momentum in Syzygia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16124 ut 11023-50 ad 11023+50, $eu 10973 ad 11073, & ad ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16125 momentum, ubi Luna in alio quovis loco intermedio <I>P</I> ver$atur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16126 ut 10973 ad 10973+<I>Pd,</I> exi$tente videlicet <I>TP</I> æquali 100.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16127 <p>Area igitur, quam Luna radio ad Terram ducto $ingulis tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16128 poris particulis æqualibus de$cribit, e$t quam proxime ut $umma
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16129 numeri 219,46 & Sinus ver$i duplicatæ di$tantiæ Lunæ a Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16130 tura proxima, in circulo cujus radius e$t unitas. Hæc ita $e ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16131 bent ubi Variatio in Octantibus e$t magnitudinis mediocris. Sin
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16132 Variatio ibi major $it vel minor, augeri debet vel minui Sinus ille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16133 ver$us in eadem ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16134 <C>PROPOSITIO XXVII. PROBLEMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16135 <C><I>Ex motu horario Lunæ invenire ip$ius di$tantiam a Terra.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16136 <p>Area, quam Luna radio ad Terram ducto, $ingulis temporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16137 momentis, de$cribit, e$t ut motus horarius Lunæ & quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16138 di$tantiæ Lunæ a Terra conjunctim; & propterea di$tantia Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16139 a Terra e$t in ratione compo$ita ex $ubduplicata ratione Areæ di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16140 recte & $ubduplicata ratione motus horarii inver$e. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16141 <p><I>Corol.</I> 1. Hinc datur Lunæ diameter apparens: quippe quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16142 reciproce ut ip$ius di$tantia a Terra. Tentent A$tronomi quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16143 probe hæc Regula cum Phænomenis congruat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16144 <p><I>Corol.</I> 2. Hinc etiam Orbis Lunaris accuratius ex Phænomenis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16145 quam antehac definiri pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16146 <C>PROPOSITIO XXVIII. PROBLEMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16147 <C><I>Invenire diametros Orbis in quo Luna, ab$que eccentricitate,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16148 moveri deberet.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16149 <p>Curvatura Trajectoriæ, quam mobile, $i $ecundum Trajectoriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16150 illius perpendiculum trahatur, de$cribit, e$t ut attractio directe &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16151 quadratum velocitatis inver$e, Curvaturas linearum pono e$$e in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16152 <pb n=399>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16153 ter $e in ultima proportione Sinuum vel Tangentium angulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16154 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16155 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16156 contactuum ad radios æquales pertinentium, ubi radii illi in infi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16157 nitum diminuuntur. Attractio autem Lunæ in Terram in Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16158 giis e$t exce$$us gravitatis ip$ius in Terram $upra vim Solarem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16159 2 <I>PK</I> (Vide <I>Figur. pag.</I> 394) qua gravitas acceleratrix Lunæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16160 Solem $uperat gravitatem acceleratricem Terræ in Solem. In Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16161 draturis autem attractio illa e$t $umma gravitatis Lunæ in Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16162 & vis Solaris <I>KT,</I> qua Luna in Terram trahitur. Et hæ attra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16163 ctiones, $i (<I>AT+CT</I>/2) dicatur N, $unt ut (178725/<I>ATq</I>)-(2000/<I>CTXN</I>) &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16164 (178725/<I>CIq</I>)+(1000/<I>ATXN</I>) quam proxime; $eu ut 178725NX<I>CTq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16165 -2000 <I>ATqXCT</I> & 178725 NX<I>ATq</I>+1000 <I>CTqXAT.</I> Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16166 $i gravitas acceleratrix Lunæ in Terram exponatur per numerum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16167 178725, vis mediocris <I>ML,</I> quæ in Quadraturis e$t <I>PT</I> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16168 <I>TK</I> & Lunam trahit in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16169 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16170 ram, erit 1000, & vis me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16171 diocris <I>TM</I> in Syzygiis erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16172 3000; de qua, $i vis medio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16173 cris <I>ML</I> $ubducatur, mane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16174 bit vis 2000 qua Luna in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16175 Syzygiis di$trahitur a Terra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16176 quamque jam ante nominavi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16177 2 <I>PK.</I> Velocitas autem Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16178 næ in Syzygiis <I>A</I> & <I>B</I> e$t ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16179 ip$ius velocitatem in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16180 draturis <I>C</I> & <I>D,</I> ut <I>CT</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16181 <I>AT</I> & momentum areæ quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16182 Luna radio ad Terram du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16183 cto de$cribit in Syzygiis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16184 momentum eju$dem areæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16185 Quadraturis conjunctim; i.e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16186 ut 11073 <I>CT</I> ad 10973 <I>AT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16187 Sumatur hæc ratio bis in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16188 ver$e & ratio prior $emel directe, & fiet curvatura Orbis Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16189 naris in Syzygiis ad eju$dem curvaturam in Quadraturis ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16190 120406729X178725 <I>ATqXCTq</I>XN-120406729X2000 <I>ATqq
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16191 XCT</I> ad 122611329X178725 <I>ATqXCTq</I>XN+122611329X
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16192 1000 <I>CTqqXAT, i.e.</I> ut 2151969 <I>ATXCT</I>XN-24081 <I>AT cub.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16193 ad 2191371 <I>ATXCT</I>XN+12261 <I>CT cub.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16194 <pb n=400>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16195 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16196 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16197 <p>Quoniam Figura orbis Lunaris ignoratur, hujus vice a$$uma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16198 mus Ellip$in <I>DBCA,</I> in cujus centro <I>T</I> Terra collocetur, & cu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16199 jus axis major <I>DC</I> Quadraturis, minor <I>AB</I> Syzygiis interja-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16200 ceat. Cum autem planum Ellip$eos hujus motu angulari circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16201 Terram revolvatur, & Trajectoria cujus curvaturam con$ideramus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16202 de$cribi debet in plano quod omni motu angulari omnino de$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16203 tuitur: con$ideranda erit Figura, quam Luna in Ellip$i illa revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16204 vendo de$cribit in hoc plano, hoc e$t Figura <I>Cpa,</I> cujus puncta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16205 $ingula <I>p</I> inveniuntur capiendo punctum quodvis <I>P</I> in Ellip$i,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16206 quod locum Lunæ repre$entet, & ducendo <I>Tp</I> æqualem <I>TP,</I> ea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16207 lege ut angulus <I>PTp</I> æqualis $it motui apparenti Solis a tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16208 pore Quadraturæ <I>C</I> confecto; vel (quod eodem fere recidit) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16209 angulus <I>CTp</I> $it ad angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16210 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16211 <I>CTP</I> ut tempus revolutio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16212 nis Synodicæ Lunaris ad tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16213 pus revolutionis Periodicæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16214 $eu 29<SUP>d.</SUP> 12<SUP>h.</SUP> 44′, ad 27<SUP>d.</SUP> 7<SUP>h.</SUP> 43′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16215 Capiatur igitur angulus <I>CTa</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16216 in eadem ratione ad angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16217 lum rectum <I>CTA,</I> & $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16218 longitudo <I>Ta</I> æqualis lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16219 gitudini <I>TA</I>; & erit <I>a</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16220 Ap$is ima & <I>C</I> Ap$is $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16221 ma Orbis hujus <I>Cpa.</I> Ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16222 tiones autem ineundo inve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16223 nio quod differentia inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16224 curvaturam Orbis <I>Cpa</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16225 vertice <I>a,</I> & curvaturam Cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16226 culi centro <I>T</I> intervallo <I>TA</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16227 de$cripti, $it ad differentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16228 inter curvaturam Ellip$eos in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16229 vertice <I>A</I> & curvaturam eju$dem Circuli, in duplicata ratione an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16230 guli <I>CTP</I> ad angulum <I>CTp</I>; & quod curvatura Ellip$eos in <I>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16231 $it ad curvaturam Circuli illius, in duplicata ratione <I>TA</I> ad <I>TC</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16232 & curvatura Circuli illius ad curvaturam Circuli centro <I>T</I> in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16233 tervallo <I>TC</I> de$cripti, ut <I>TC</I> ad <I>TA</I>; hujus autem curvatura ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16234 curvaturam Ellip$eos in <I>C,</I> in duplicata ratione <I>TA</I> ad <I>TC</I>; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16235 differentia inter curvaturam Ellip$eos in vertice <I>C</I> & curvaturam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16236 Circuli novi$$imi, ad differentiam inter curvaturam Figuræ <I>Tpa</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16237 in vertice <I>C</I> & curvaturam eju$dem Circuli, in duplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16238 <pb n=401>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16239 anguli <I>CTp</I> ad angulum <I>CTP.</I> Quæ quidem rationes ex $inu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16240 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16241 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16242 bus angulorum contactus ac differentiarum angulorum facile colli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16243 guntur. His autem inter $e collatis, prodit curvatura Figuræ <I>Cpa</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16244 in <I>a</I> ad ip$ius curvaturam in <I>C,</I> ut <I>AT cub</I>+(16824/100000)<I>CTqXAT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16245 ad <I>CT cub</I>+(16824/100000) <I>ATqXCT.</I> Ubi numerus (16824/100000) de$ignat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16246 differentiam quadratorum angulorum <I>CTP</I> & <I>CTp</I> appli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16247 catam ad quadratum anguli minoris <I>CTP,</I> $eu (quod per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16248 inde e$t) differentiam quadratorum temporum 27<SUP>d.</SUP> 7<SUP>h.</SUP> 43′, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16249 29<SUP>d.</SUP> 12<SUP>h.</SUP> 44′, applicatam ad quadratum temporis 27<SUP>d.</SUP> 7<SUP>h.</SUP> 43′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16250 <p>Igitur cum <I>a</I> de$ignet Syzygiam Lunæ, & <I>C</I> ip$ius Quadratu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16251 ram, proportio jam inventa eadem e$$e debet cum proportione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16252 curvaturæ Orbis Lunæ in Syzygiis ad eju$dem curvaturam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16253 Quadraturis, quam $upra invenimus. Proinde ut inveniatur pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16254 portio <I>CT</I> ad <I>AT,</I> duco extrema & media in $e invicem. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16255 termini prodeuntes ad <I>ATXCT</I> applicati, fiunt 2062, 79 <I>CTqq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16256 -2151969 NX<I>CTcub</I>+368676 NX<I>ATXCTq</I>+36342 <I>ATq
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16257 XCTq</I> - 362047 NX<I>ATqXCT</I>+2191371 NX<I>AT cub</I>+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16258 4051, 4 <I>ATqq</I>=0. Hic pro terminorum <I>AT</I> & <I>CT</I> $emi$um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16259 ma N $cribo 1, & pro eorundem $emidifferentia ponendo <I>x,</I> fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16260 <I>CT</I>=1+<I>x,</I> & <I>AT</I>=1-<I>x</I>: quibus in æquatione $criptis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16261 æquatione prodeunte re$oluta, obtinetur <I>x</I> æqualis 0,00719, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16262 inde $emidiameter <I>CT</I> fit 1,00719, & $emidiameter <I>AT</I> 0,99281,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16263 qui numeri $unt ut (70 1/24) & (69 1/24) quam proxime. E$t igitur di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16264 $tantia Lunæ a Terra in Syzygiis ad ip$ius di$tantiam in Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16265 turis ($epo$ita $cilicet Eccentricitatis con$ideratione) ut (69 1/24) ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16266 (70 1/24), vel numeris rotundis ut 69 ad 70.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16267 <C>PROPOSITIO XXIX. PROBLEMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16268 <C><I>Invenire Variationem Lunæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16269 <p>Oritur hæc inæqualitas partim ex forma Elliptica orbis Luna-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16270 ris, partim ex inæqualitate momentorum areæ, quam Luna radio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16271 ad Terram ducto de$cribit. Si Luna <I>P</I> in Ellip$i <I>DBCA</I> circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16272 Terram in centro Ellip$eos quie$centem moveretur, & radio <I>TP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16273 ad Terram ducto de$criberet aream <I>CTP</I> tempori proportiona-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16274 lem; e$$et autem Ellip$eos $emidiameter maxima <I>CT</I> ad $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16275 diametrum minimam <I>TA</I> ut 70 ad 69: foret tangens anguli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16276 <I>CTP</I> ad tangentem anguli motus medii a Quadratura <I>C</I> compu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16277 tati, ut Ellip$eos $emidiameter <I>TA</I> ad eju$dem $emidiametrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16278 <pb n=402>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16279 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16280 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16281 <I>TC</I> $eu 69 ad 70. Debet autem de$criptio areæ <I>CTP,</I> in pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16282 gre$$u Lunæ a Quadratura ad Syzygiam, ea ratione accelerari, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16283 ejus momentum in Syzygia Lunæ $it ad ejus momentum in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16284 dratura ut 11073 ad 10973, utque exce$$us momenti in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16285 quovis intermedio <I>P</I> $upra momentum in Quadratura $it ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16286 dratum $inus anguli <I>CTP.</I> Id quod $atis accurate fiet, $i tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16287 gens anguli <I>CTP</I> diminuatur in $ubduplicata ratione numeri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16288 10973 ad numerum 11073, id e$t, in ratione numeri 68,6877 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16289 numerum 69. Quo pacto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16290 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16291 tangens anguli <I>CTP</I> jam e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16292 rit ad tangentem motus me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16293 dii ut 68,6877 ad 70, & an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16294 gulus <I>CTP</I> in Octantibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16295 ubi motus medius e$t 45<SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16296 invenietur 44<SUP>gr.</SUP> 27′. 28″. qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16297 $ubductus de angulo motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16298 medii 45<SUP>gr.</SUP> relinquit Varia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16299 tionem maximam 32′. 32″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16300 Hæc ita $e haberent $i Luna,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16301 pergendo a Quadratura ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16302 Syzygiam, de$criberet angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16303 lum <I>CTA</I> graduum tantum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16304 nonaginta. Vcrum ob mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16305 tum Terræ, quo Sol in con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16306 $equentia motu apparente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16307 transfertur, Luna, priu$quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16308 Solem a$$equitur, de$cribit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16309 angulum <I>CTa</I> angulo recto majorem in ratione temporis revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16310 lutionis Lunaris Synodicæ ad tempus revolutionis Periodicæ, id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16311 e$t, in ratione 29<SUP>d.</SUP> 12<SUP>h.</SUP> 44′. ad 27<SUP>d.</SUP> 7<SUP>h.</SUP> 43′. Et hoc pacto an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16312 guli omnes circa centrum <I>T</I> dilatantur in eadem ratione, & Va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16313 riatio maxima quæ $ecus e$$et 32′. 32″, jam aucta in eadem ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16314 fit 35′. 10″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16315 <p>Hæc e$t ejus magnitudo in mediocri di$tantia Solis a Terra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16316 neglectis differentiis quæ a curvatura Orbis magni majorique So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16317 lis actione in Lunam falcatam & novam quam in gibbo$am &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16318 plenam, oriri po$$int. In aliis di$tantiis Solis a Terra, Variatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16319 maxima e$t in ratione quæ componitur ex duplicata ratione tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16320 poris revolutionis Synodicæ Lunaris (dato anni tempore) directe,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16321 & triplicata ratione di$tantiæ Solis a Terra inver$e. Ideoque in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16322 <pb n=403>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16323 Apogæo Solis, Variatio maxima e$t 33′. 14″, & in ejus Perigæo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16324 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16325 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16326 37′. 11″, $i modo Eccentricitas Solis $it ad Orbis magni $emidia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16327 metrum tran$ver$am ut (16 <*>/16) ad 1000.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16328 <p>Hactenus Variationem inve$tigavimus in Orbe non eccentrico,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16329 in quo utique Luna in Octantibus $uis $emper e$t in mediocri $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16330 di$tantia a Terra. Si Luna propter eccentricitatem $uam, magis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16331 vel minus di$tat a Terra quam $i locaretur in hoc Orbe, Variatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16332 paulo major e$$e pote$t vel paulo minor quam pro Regula hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16333 allata: $ed exce$$um vel defectum ab A$tronomis per Phænomena
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16334 determinandum relinquo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16335 <C>PROPOSITIO XXX. PROBLEMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16336 <C><I>Invenire motum borarium Nodorum Lunæ in Orbe circulari.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16337 <p>De$ignet <I>S</I> Solem, <I>T</I> Terram, <I>P</I> Lunam, <I>NPn</I> Orbem Lunæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16338 <I>Npn</I> ve$tigium Orbis in plano Eclipticæ; <I>N, n</I> Nodos, <I>nTNm</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16339 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16340 lineam Nodorum infinite productam; <I>PI, PK</I> perpendicula de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16341 mi$$a in lineas <I>ST, Qq; Pp</I> perpendiculum demi$$um in planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16342 <pb n=404>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16343 Eclipticæ; <I>Q, q</I> Quadraturas Lunæ in plano Eclipticæ, & <I>p K</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16344 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16345 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16346 perpendiculum in lineam <I>Qq</I> Quadraturis interjacentem. Vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16347 Solis ad perturbandum motum Lunæ (per Prop.xxv.) duplex e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16348 altera lineæ <I>LM,</I> altera lineæ <I>MT</I> proportionalis. Et Luna vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16349 priore in Terram, po$teriore in Solem $ecundum lineam rectæ <I>ST</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16350 a Terra ad Solem ductæ parallelam trahitur. Vis prior <I>LM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16351 agit $ecundum planum orbis Lunaris, & propterea $itum plani nil
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16352 mutat. Hæc igitur negligenda e$t. Vis po$terior <I>MT</I> qua planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16353 Orbis Lunaris perturbatur eadem e$t cum vi 3<I>PK</I> vel 3<I>IT.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16354 Et hæc vis (per Prop.xxv.) e$t ad vim qua Luna in circulo circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16355 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16356 Terram quic$centem tempore $uo periodico uniformiter revolvi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16357 po$$et, ut 3<I>IT</I> ad Radium circuli multiplicatum per numerum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16358 178,725, $ive ut <I>IT</I> ad Radium multiplicatum per 59,575. Cæte-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16359 rum in hoc calculo & eo omni qui $equitur, con$idero lineas om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16360 nes a Luna ad Solem ductas tanquam parallelas lineæ quæ a Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16361 ad Solem ducitur, propterea quod inclinatio tantum fere minuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16362 effectus omnes in aliquibus ca$ibus, quantum auget in aliis; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16363 Nodorum motus mediocres quærimus, neglectis i<*>iu$modi minu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16364 tiis, quæ calculum nimis impeditum redderent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16365 <pb n=405>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16366 <p>De$ignet jam <I>PM</I> arcum, quem Luna dato tempore quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16367 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16368 TLRTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16369 minimo de$cribit, & <I>ML</I> lineolam quam Luna, impellente vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16370 præfata 3<I>IT,</I> eodem tempore de$cribere po$$et. Jungantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16371 <I>PL, MP,</I> & producantur eæ ad <I>m</I> & <I>l,</I> ubi $ecent planum E-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16372 clipticæ; inque <I>Tm</I> demittatur perpendiculum <I>PH.</I> Et quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16373 niam recta <I>ML</I> parallela e$t plano Eclipticæ, ideoque cum recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16374 <I>ml</I> quæ in plano illo jacet concurrere non pote$t, & tamen ja-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16375 cent hæ rectæ in plano communi <I>LMP ml</I>; parallelæ erunt hæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16376 rectæ, & propterea $imilia erunt triangula <I>LMP, Lmp.</I> Jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16377 cum <I>MPm</I> $it in plano Orbis, in quo Luna in loco <I>P</I> moveba-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16378 tur, incidet punctum <I>m</I> in lineam <I>Nn</I> per Orbis illius Nodos.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16379 <I>N, n</I> dictam. Et quoniam vis qua lineola <I>LM</I> generatur, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16380 tota $imul & $emel in loco <I>P</I> impre$$a e$$et, efficeret ut Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16381 moveretur in arcu, cujus chorda e$$et <I>LP,</I> atque adeo trans-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16382 ferret Lunam de plano <I>MPmT</I> in planum <I>LPIT</I>; motus an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16383 gularis Nodorum a vi illa genitus, æqualis erit angulo <I>mTl.</I> E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16384 autem <I>ml</I> ad <I>mP</I> ut <I>ML</I> ad <I>MP,</I> adeoque cum <I>MP</I> ob da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16385 tum tempus data $it, e$t <I>ml</I> ut rectangulum <I>MLXmP,</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16386 ut rectangulum <I>ITXmP.</I> Et angulus <I>mTl,</I> $i modo angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16387 <I>Tml</I> rectus $it, e$t ut (<I>ml/Tm</I>), & propterea ut (<I>ITXPm/Tm</I>), id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16388 (ob proportionales <I>Tm</I> & <I>mP, TP</I> & <I>PH</I>) ut (<I>ITXPH/TP</I>),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16389 adeoque ob datam <I>TP,</I> ut <I>ITXPH.</I> Quod $i angulus <I>Tml,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16390 $eu <I>STN</I> obliquus fit, erit angulus <I>mTl</I> adhuc minor, in rati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16391 one $inus anguli <I>STN</I> ad Radium. E$t igitur velocitas No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16392 dorum ut <I>ITXPHXAZ,</I> $ive ut contentum $ub $inubus trium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16393 angulorum <I>TPI, PTN</I> & <I>STN.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16394 <p>Si anguli illi, Nodis in Quadraturis & Luna in Syzygia exi$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16395 tibus, recti $int, lineola <I>ml</I> abibit in infinitum, & angulus <I>mTl</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16396 evadet angulo <I>mPl</I> æqualis. Hoc autem in ca$u, angulus <I>mPl</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16397 e$t ad angulum <I>PTM,</I> quem Luna eodem tempore motu $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16398 apparente circa Terram de$cribit ut 1 ad 59,575. Nam angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16399 <I>mPl</I> æqualis e$t angulo <I>LPM,</I> id e$t, angulo deflexionis Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16400 a recto tramite, quem $ola vis præfata Solaris 3<I>IT</I> $i tum ce$$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16401 ret Lunæ gravitas dato illo tempore generare po$$et; & angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16402 <I>PTM</I> æqualis e$t angulo deflexionis Lunæ a recto tramite, quem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16403 vis illa, qua Luna in Orbe $uo retinetur, $i tum ce$$aret vis Sola-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16404 ris 3<I>IT</I> eodem tempore generaret. Et hæ vires, ut $upra dixi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16405 <pb n=406>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16406 mus, $unt ad invicem ut 1 ad 59,575. Ergo cum motus medius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16407 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16408 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16409 horarius Lunæ (re$pectu fixarum) $it 32′. 56″. 27‴. 12<SUP>iv</SUP>1/2, motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16410 horarius Nodi in hoc ca$u erit 33″. 10‴. 33<SUP>iv</SUP>. 12<SUP>v</SUP>. Aliis autem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16411 ca$ibus motus i$te horarius erit ad 33″. 10‴. 33<SUP>iv</SUP>. 12<SUP>v</SUP>. ut conten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16412 tum $ub $inubus angulorum trium <I>TPI, PTN,</I> & <I>STN</I> ($eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16413 di$tantiarum Lunæ a Quadratura, Lunæ a Nodo, & Nodi a Sole)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16414 ad cubum Radii. Et quoties $ignum anguli alicujus de affirmativo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16415 in negativum, deque negativo in affirmativum mutatur, debebit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16416 motus regre$$ivus in progre$$ivum & progre$$ivus in regre$$ivum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16417 mutari. Unde fit ut Nodi progrediantur quoties Luna inter Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16418 draturam alterutram & Nodum Quadraturæ proximum ver$atur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16419 Aliis in ca$ibus regrediuntur, & per exce$$um regre$$us $upra pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16420 gre$$um, $ingulis men$ibus $eruntur in antecedentia.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16421 <p><I>Corol.</I> 1. Hinc $i a dati arcus quam minimi <I>PM</I> terminis <I>P</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16422 & <I>M</I> ad lineam Quadraturas jungentem <I>Qq</I> demittantur perpen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16423 dicula <I>PK, Mk,</I> eademque producantur donec $ecent lineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16424 Nodorum <I>Nn</I> in <I>D</I> & <I>d</I>; erit motus borarius Nodorum ut area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16425 <I>MPDd</I> & quadratum lineæ <I>AZ</I> conjunctim. Sunto enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16426 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16427 <I>PK, PH</I> & <I>AZ</I> prædicti tres $inus. Nempe <I>PK</I> $inus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16428 $tantiæ Lunæ a Quadratura, <I>PH</I> $inus di$tantiæ Lunæ a Nodo, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16429 <I>AZ</I> $inus di$tantiæ Nodi a Sole: & erit velocitas Nodi ut conten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16430 tum <I>PKXPHXAZ.</I> E$t autem <I>PT</I> ad <I>PK</I> ut <I>PM</I> ad <I>Kk,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16431 adeoque ob datas <I>PT</I> & <I>PM</I> e$t <I>Kk</I> ip$i <I>PK</I> proportionalis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16432 E$t & <I>AT</I> ad <I>PD</I> ut <I>AZ</I> ad <I>PH,</I> & propterea <I>PH</I> rectangulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16433 <pb n=407>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16434 <I>PDXAZ</I> proportionalis, & conjunctis rationibus, <I>PKXPH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16435 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16436 TIRTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16437 e$t ut contentum <I>KkXPDXAZ,</I> & <I>PKXPHXAZ</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16438 <I>KkXPDXAZ qu.</I> id e$t, ut area <I>PDdM</I> & <I>AZqu.</I> con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16439 junctim. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16440 <p><I>Corol</I> 2. In data quavis Nodorum po$itione, motus horarius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16441 mediocris e$t $emi$$is motus horarii in Syzygiis Lunæ, ideoque e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16442 ad 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. ut quadratum $inus di$tantiæ Nodorum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16443 Syzygiis ad quadratum Radii, five ut <I>AZqu.</I> AD <I>AT.qu.</I> Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16444 $i Luna uniformi cum motu perambulet $emicirculum <I>QAq,</I> $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16445 ma omnium arearum <I>PDdM,</I> quo tempore Luna pergit a <I>Q</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16446 <I>M,</I> erit area <I>QMdE</I> quæ ad circuli tangentem <I>QE</I> termina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16447 tur; & quo tempore Luna attingit punctum <I>n,</I> $umma illa erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16448 area tota <I>EQAn</I> quam linea <I>PD</I> de$cribit, dein Luna pergente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16449 ab <I>n</I> ad <I>q,</I> linea <I>PD</I> cadet extra circulum, & aream <I>nqe</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16450 circuli tangentem <I>qe</I> terminatam de$cribet; quæ, quoniam Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16451 prius regrediebantur, jam vero progrediuntur, $ubduci debet de
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16452 area priore, & cum æqualis $it areæ <I>QEN,</I> relinquet $emicircu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16453 lum <I>NQAn.</I> Igitur $umma omnium arearum <I>PDdM,</I> quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16454 tempore Luna $emicirculum de$cribit, e$t area $emicirculi; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16455 $umma omnium quo tempore Luna circulum de$cribit e$t area cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16456 culi totius. At area <I>PDdM,</I> ubi Luna ver$atur in Syzygiis, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16457 rectangulum $ub arcu <I>PM</I> & radic <I><*>T</I>; & $umma omnium huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16458 æqualium arearum, quo tempore Luna circulum de$cribit, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16459 rectangulum $ub circumferentia tota & radio circuli; & hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16460 rectangulum, cum $it æquale duobus circulis, duplo majus e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16461 quam rectangulum prius. Proinde Nodi, ea cum velocitate uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16462 formiter continuata quam habent in Syzygiis Lunaribus, $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16463 duplo majus de$criberent quam revera de$cribunt; & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16464 motus mediocris quocum, $i uniformiter continuaretur, $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16465 a $e inæquabili cum motu revera confectum de$cribere po$$ent, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16466 $emi$$is motus quem habent in Syzygiis Lunæ. Unde cum mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16467 tus horarius maximus, $i Nodi in Quadraturis ver$antur, $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16468 33″. 10‴. 33<SUP>iv</SUP>. 12<SUP>v</SUP>, motus mediocris horarius in hoc ca$u erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16469 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. Et cum motus horarius Nodorum $emper $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16470 ut <I>AZqu.</I> & area <I>PDdM</I> conjunctim, & propterea motus ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16471 rarius Nodorum in Syzygiis Lunæ ut <I>AZqu.</I> & area <I>PDdM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16472 conjunctim, id e$t (ob datam aream <I>PDdM</I> in Syzygiis de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16473 $criptam) ut <I>AZqu.</I> erit etiam motus mediocris ut <I>AZqu.</I> atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16474 adeo hic motus, ubi Nodi extra Quadraturas ver$antur, erit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16475 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. ut <I>AZqu.</I> ad <I>ATqu. Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16476 <pb n=408>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16477 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16478 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16479 <C>PROPOSITIO XXXI. PROBLEMA XII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16480 <C><I>Invenire motum horarium Nodorum Lunæ in Orbe Elliptico.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16481 <p>De$ignet <I>Qpmaq</I> Ellip$in, axe majore <I>Qq,</I> minore <I>ab</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16482 $criptam, <I>QAq</I> Circulum circum$criptum, <I>T</I> Terram in utriu$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16483 centro communi, <I>S</I> Solem, <I>p</I> Lunam in Ellip$i motam, & <I>pm</I> ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16484 cum quem data temporis particula quam minima de$cribit, <I>N</I> & <I>n</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16485 Nodos linea <I>Nn</I> junctos, <I>pK</I> & <I>mk</I> perpendicula in axem <I>Qq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16486 demi$$a & hinc inde producta, donec occurrant Circulo in <I>P</I> & <I>M,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16487 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16488 & lineæ Nodorum in <I>D</I> & <I>d.</I> Et $i Luna, radio ad Terram du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16489 cto, aream de$cribat tempori proportionalem, erit motus Nodi in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16490 Ellip$i ut area <I>pDdm.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16491 <p>Nam $i <I>PF</I> tangat Circulum in <I>P,</I> & producta occurrat <I>TN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16492 in <I>F,</I> & <I>pf</I> tangat Ellip$in in <I>p</I> & producta occurrat eidem <I>TN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16493 <pb n=409>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16494 in <I>f,</I> conveniant autem hæ tangentes in axe <I>TQ</I> ad <I>Y</I>; & $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16495 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16496 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16497 <I>ML</I> de$ignet $patium quod Luna in Circulo revolvens, interea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16498 dum de$cribit arcum <I>PM,</I> urgente & impellente vi prædicta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16499 3<I>IT,</I> motu tran$ver$o de$cribere po$$et, & <I>ml</I> de$ignet $patium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16500 quod Luna in Ellip$i revolvens eodem tempore, urgente etiam vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16501 3<I>IT,</I> de$cribere po$$et; & producantur <I>LP</I> & <I>lp</I> donec occurrant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16502 plano Eclipticæ in <I>G</I> & <I>g</I>; & jungantur <I>FG</I> & <I>fg,</I> quarum <I>FG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16503 producta $ecet <I>pf, pg</I> & <I>TQ</I> in <I>c, e</I> & <I>R</I> re$pective, & <I>fg</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16504 ducta $ecet <I>TQ</I> in <I>r</I>: Quoniam vis 3<I>IT</I> $eu 3<I>PK</I> in Circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16505 e$t ad vim 3<I>IT</I> $eu 3<I>pK</I> in Ellip$i, ut <I>PK</I> ad <I>pK,</I> $eu <I>AT</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16506 <I>aT</I>; erit $patium <I>ML</I> vi priore genitum, ad $patium <I>ml</I> vi po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16507 $teriore genitum, ut <I>PK</I> ad <I>pK,</I> id e$t, ob $imiles figuras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16508 <I>PYKp</I> & <I>FYRc,</I> ut <I>FR</I> ad <I>cR.</I> E$t autem <I>ML</I> ad <I>FG</I> (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16509 $imilia triangula <I>PLM, PGF</I>) ut <I>PL</I> ad <I>PG,</I> hoc e$t (ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16510 parallelas <I>Lk, PK, GR</I>) ut <I>pl</I> ad <I>pe,</I> id e$t, (ob $imilia trian-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16511 gula <I>plm, cpe</I>) ut <I>lm</I> ad <I>ce</I>; & inver$e ut <I>LM</I> e$t ad <I>lm,</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16512 <I>FR</I> ad <I>cR,</I> ita e$t <I>FG</I> ad <I>ce.</I> Et propterea $i <I>fg</I> e$$et ad <I>ce</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16513 <I>fY</I> ad <I>cY,</I> id e$t, ut <I>fr</I> ad <I>cR</I> (hoc e$t, ut <I>fr</I> ad <I>FR</I> & <I>FR</I> ad <I>cR</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16514 conjunctim, id e$t, ut <I>fT</I> ad <I>FT</I> & <I>FG</I> ad <I>ce</I> conjunctim,) quo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16515 niam ratio <I>FG</I> ad <I>ce</I> utrinque ablata relinquit rationes <I>fg</I> ad <I>FG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16516 & <I>fT</I> ad <I>FT,</I> foret <I>fg</I> ad <I>FG</I> ut <I>fT</I> ad <I>FT</I>; atque adeo anguli,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16517 quos <I>FG</I> & <I>fg</I> $ubtenderent ad Terram <I>T,</I> æquarentur inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16518 Sed anguli illi (per ca quæ in præcedente Propo$itione expo$ui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16519 mus) $unt motus Nodorum, quo tempore Luna in Circulo ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16520 cum <I>PM,</I> in Ellip$i arcum <I>pm</I> percurrit: & propterea motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16521 Nodorum in Circulo & Ellip$i æquarentur inter $e. Hæc ita $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16522 haberent, $i modo <I>fg</I> e$$et ad <I>ce</I> ut <I>fY</I> ad <I>cY,</I> id e$t, $i <I>fg</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16523 lis e$$et (<I>ceXfY/cY</I>). Verum ob $imilia triangula <I>fgp, cep,</I> e$t <I>fg</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16524 ad <I>ce</I> ut <I>fp</I> ad <I>cp</I>; ideoque <I>fg</I> æqualis e$t (<I>ceXfp/cp</I>); & propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16525 angulus, quem <I>fg</I> revera $ubtendit, e$t ad angulum priorem, quem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16526 <I>FG</I> $ubtendit, hoc e$t, motus Nodorum in Ellip$i ad motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16527 Nodorum in Circulo, ut hæc <I>fg</I> $eu (<I>ceXfp/cp</I>) ad priorem <I>fg</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16528 (<I>ceXfY/cY</I>), id e$t, ut <I>fpXcY</I> ad <I>fYXcp,</I> $eu <I>fp</I> ad <I>fY</I> & <I>cY</I> ad <I>cp,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16529 hoc e$t, $i <I>ph</I> ip$i <I>TN</I> parallela occurrat <I>FP</I> in <I>h,</I> ut <I>Fh</I> ad <I>FY</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16530 & <I>FY</I> ad <I>FP</I>; hoc e$t, ut <I>Fh</I> ad <I>FP</I> $eu <I>Dp</I> ad <I>DP,</I> adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16531 ut area <I>Dpmd</I> ad aream <I>DPMd.</I> Et propterea, cum area po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16532 <pb n=410>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16533 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16534 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16535 $terior proportionalis $it motui Nodorum in Circulo, erit area
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16536 prior proportionalis motui Nodorum in Ellip$i. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16537 <p><I>Corol.</I> Igitur cum, in data Nodorum po$itione, $umma omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16538 arearum <I>pDdm,</I> quo tempore Luna pergit a Quadratura ad lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16539 cum quemvis <I>m,</I> $it area <I>mpQEd,</I> quæ ad Ellip$eos tangentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16540 <I>QE</I> terminatur; & $umma omnium arearum illarum, in revolu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16541 tione integra, $it area Ellip$eos totius: motus mediocris Nodorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16542 in Ellip$i erit ad motum mediocrem Nodorum in Circulo, ut El-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16543 lip$is ad Circulum; id e$t, ut <I>Ta</I> ad <I>TA,</I> $eu 69 ad 70. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16544 propterea, cum motus mediocris horarius Nodorum in Circulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16545 $it ad 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. ut <I>AZqu.</I> ad <I>ATqu.</I> $i capiatur angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16546 lus 16″. 21‴. 3<SUP>iv</SUP>. 30<SUP>v</SUP>. ad angulum 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. ut 69 ad 70,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16547 erit motus mediocris horarius Nodorum in Ellip$i ad 16″. 21‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16548 3<SUP>iv</SUP>. 30<SUP>v</SUP>. ut <I>AZq</I> ad <I>ATq</I>; hoc e$t, ut quadratum $inus di$tantiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16549 Nodi a Sole ad quadratum Radii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16550 <p>Cæterum Luna, radio ad Terram ducto, aream velocius de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16551 bit in Syzygiis quam in Quadraturis, & eo nomine tempus in Sy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16552 zygiis contrahitur, in Quadraturis producitur; & una cum tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16553 pore motus Nodorum augetur ac diminuitur. Erat autem mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16554 mentum areæ in Quadraturis Lunæ ad ejus momentum in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16555 ut 10973 ad 11073, & propterea momentum mediocre in Octan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16556 tibus e$t ad exce$$um in Syzygiis, defectumque in Quadraturis, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16557 numerorum $emi$umma 11023 ad eorundem $emidifferentiam 50.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16558 Unde cum tempus Lunæ in $ingulis Orbis particulis æqualibus $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16559 reciproce ut ip$ius velocitas, erit tempus mediocre in Octantibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16560 ad exce$$um temporis in Quadraturis, ac defectum in Syzygiis, ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16561 hac cau$a oriundum, ut 11023 ad 50 quam proxime. Pergendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16562 autem a Quadraturis ad Syzygias, invenio quod exce$$us momen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16563 torum areæ in locis $ingulis, $upra momentum minimum in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16564 draturis, $it ut quadratum $inus di$tantiæ Lunæ a Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16565 quam proxime; & propterea differentia inter momentum in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16566 quocunque & momentum mediocre in Octantibus, e$t ut diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16567 rentia inter quadratum $inus di$tantiæ Lunæ a Quadraturis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16568 quadratum $inus graduum 45, $eu $emi$$em quadrati Radii; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16569 incrementum temporis in locis $ingulis inter Octantes & Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16570 turas, & decrementum ejus inter Octantes & Syzygias, e$t in ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16571 dem ratione. Motus autem Nodorum, quo tempore Luna per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16572 currit $ingulas Orbis particulas æquales, acceleratur vel retardatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16573 in duplicata ratione temporis. E$t enim motus i$te, dum Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16574 <pb n=411>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16575 percurrit <I>PM,</I> (cæteris paribus) ut <I>ML,</I> & <I>ML</I> e$t in dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16576 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16577 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16578 cata ratione temporis. Quare motus Nodorum in Syzygiis, eo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16579 tempore confectus quo Luna datas Orbis particulas percurrit, di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16580 minuitur in duplicata ratione numeri 11073 ad numerum 11023;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16581 e$tque decrementum ad motum reliquum ut 100 ad 10973, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16582 motum vero totum ut 100 ad 11073 quam proxime. Decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16583 mentum autem in locis inter Octantes & Syzygias, & incremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16584 tum in locis inter Octantes & Quadraturas, e$t quam proxime ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16585 hoc decrementum, ut motus totus in locis illis ad motum totum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16586 in Syzygiis & differentia inter quadratum $inus di$tantiæ Lunæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16587 Quadratura & $emi$$em quadrati Radii ad $emi$$em quadrati Ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16588 dii, conjunctim. Unde $i Nodi in Quadraturis ver$entur, & ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16589 piantur loca duo æqualiter ab Octante hinc inde di$tantia, & alia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16590 duo a Syzygia & Quadratura ii$dem intervallis di$tantia, deque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16591 decrementis motuum in locis duobus inter Syzygiam & Octantem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16592 $ubducantur incrementa motuum in locis reliquis duobus, quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16593 $unt inter Octantem & Quadraturam; decrementum reliquum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16594 æquale erit decremento in Syzygia: uti rationem ineunti facile
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16595 con$tabit. Proindeque decrementum mediocre, quod de Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16596 rum motu mediocri $ubduci debet, e$t pars quarta decrementi in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16597 Syzygia. Motus totus horarius Nodorum in Syzygiis (ubi Luna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16598 radio ad Terram ducto aream tempori proportionalem de$cribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16599 $upponebatur) erat 32″. 42‴. 7<SUP>iv</SUP>. Et decrementum motus Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16600 rum, quo tempore Luna jam velocior de$cribit idem $patium,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16601 diximus e$$e ad hunc motum ut 100 ad 11073; adeoque decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16602 mentum illud e$t 17‴. 43<SUP>iv</SUP>. 11<SUP>v</SUP>, cujus pars quarta 4‴. 25<SUP>iv</SUP>. 48<SUP>v</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16603 motui horario mediocri $uperius invento 16″. 21‴. 3<SUP>iv</SUP>. 30<SUP>v</SUP>. $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16604 ducta, relinquit 16″. 16‴. 37<SUP>iv</SUP>. 42<SUP>v</SUP>. motum mediocrem horarium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16605 correctum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16606 <p>Si Nodi ver$antur extra Quadraturas, & $pectentur loca bina a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16607 Syzygiis hinc inde æqualiter di$tantia; $umma motuum Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16608 rum, ubi Luna ver$atur in his locis, erit ad $ummam motuum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16609 ubi Luna in ii$dem locis & Nodi in Quadraturis ver$antur, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16610 <I>AZqu.</I> ad <I>ATqu.</I> Et decrementa motuum, a cau$is jam expo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16611 $itis oriunda, erunt ad invicem ut ip$i motus, adeoque motus reli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16612 qui erunt ad invicem ut <I>AZqu.</I> ad <I>ATqu.</I> & motus mediocres
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16613 ut motus reliqui. E$t itaque motus mediocris horarius correctus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16614 in dato quocunque Nodorum $itu, ad 16″. 16‴. 37<SUP>iv</SUP>. 42<SUP>v</SUP>. ut. <I>AZqu.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16615 ad <I>ATqu.</I>; id e$t, ut quadratum $inus di$tantiæ Nodorum a Sy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16616 zygiis ad quadratum Radii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16617 <pb n=412>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16618 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16619 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16620 <C>PROPOSITIO XXXII. PROBLEMA XIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16621 <C><I>Invenire motum medium Nodorum Lunæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16622 <p>Motus medius annuus e$t $umma motuum omnium horariorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16623 mediocrium in anno. Concipe Nodum ver$ari in <I>N,</I> & $ingulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16624 horis completis retrahi in locum $uum priorem, ut non ob$tante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16625 motu $uo proprio, datum $emper $ervet $itum ad Stellas Fixas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16626 Interea vero Solem <I>S,</I> per motum Terræ, progredi a Nodo, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16627 cur$um annuum apparentem uniformiter complere. Sit autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16628 <I>Aa</I> arcus datus quam minimus, quem recta <I>TS</I> ad Solem $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16629 ducta, inter$ectione $ui & circuli <I>NAn,</I> dato tempore quam mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16630 nimo de$cribit: & motus horarius mediocris (per jam o$ten$a)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16631 erit ut <I>AZq,</I> id e$t (ob proportionales <I>AZ, ZY</I>) ut rectan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16632 gulum $ub <I>AZ</I> & <I>ZY,</I> hoc e$t, ut area <I>AZYa.</I> Et $umma om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16633 nium horariorum motuum mediocrium ab initio, ut $umma om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16634 nium arearum <I>aYZA,</I> id e$t, ut area <I>NAZ.</I> E$t autem maxima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16635 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16636 <I>AZYa</I> æqualis rectangulo $ub arcu <I>Aa</I> & radio circuli; & prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16637 terea $umma omnium rectangulorum in circulo toto ad $ummam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16638 totidem maximorum, ut area circuli totius ad rectangulum $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16639 circumferentia tota & radio; id e$t, ut 1 ad 2. Motus autem ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16640 rarius, rectangulo maximo re$pondens, erat 16″. 16‴. 37<SUP>iv</SUP>. 42<SUP>v</SUP>. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16641 hic motus, anno toto $idereo dierum 365. <I>hor.</I> 6. <I>min.</I> 9 fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16642 39<SUP>gr.</SUP> 38′. 7″. 50‴. Ideoque hujus dimidium 19<SUP>gr.</SUP> 49′. 3″. 55‴. e$t mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16643 <pb n=413>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16644 tus medius Nodorum circulo toti re$pondens. Et motus Nodo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16645 <MARG>LIBER.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16646 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16647 rum, quo tempore Sol pergit ab <I>N</I> ad <I>A,</I> e$t ad 19<SUP>gr.</SUP> 49′. 3″. 55‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16648 ut area <I>NAZ</I> ad circulum totum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16649 <p>Hæc ita $e habent, ex Hypothe$i quod Nodus horis $ingulis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16650 locum priorem retrahitur, lic ut Sol anno toto completo ad No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16651 dum eundem redeat a quo $ub initio digre$$us fuerat. Verum per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16652 motum Nodi fit ut Sol citius ad Nodum revertatur, & compu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16653 tanda jam e$t abbreviatio temporis. Cum Sol anno toto conficiat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16654 360 gradus, & Nodus motu maximo eodem tempore conficeret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16655 39<SUP>gr.</SUP> 38′. 7″. 50‴, $eu 39,6355 gradus; & motus mediocris. Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16656 in loco quovis <I>N</I> $it ad ip$ius motum mediocrem in Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16657 $uis, ut <I>AZq</I> ad <I>ATq</I>: erit motus Solis ad motum Nodi in <I>N,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16658 360 <I>ATq</I> ad 39,6355 <I>AZq</I>; id e$t, ut 9,0827646 <I>ATq</I> ad <I>AZq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16659 Unde $i circuli totius circumferentia <I>NAn</I> dividatur in particu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16660 las æquales <I>Aa,</I> tempus quo Sol percurrat particulam <I>Aa,</I> $i cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16661 culus quie$ceret, erit ad tempus quo percurrit eandem parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16662 culam, $i circulus una cum Nodis circa centrum <I>T</I> revolvatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16663 reciproce ut 9,0827646 <I>ATq.</I> ad 9,0827646 <I>ATq+AZq.</I> Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16664 tempus e$t reciproce ut velocitas qua particula percurritur, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16665 hæc velocitas e$t $umma velocitatum Solis & Nodi. Igitur $i tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16666 pus, quo Sol ab$que motu Nodi percurreret arcum <I>NA,</I> expo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16667 natur per Sectorem <I>NTA,</I> & particula temporis quo percurreret.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16668 arcum quam minimum <I>Aa,</I> exponatur per Sectoris particulam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16669 <I>ATa</I>; & (perpendiculo <I>aY</I> in <I>Nn</I> demi$$o) $i in <I>AZ</I> capiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16670 <I>dZ,</I> ejus longitudinis ut $it rectangulum <I>dZ</I> in <I>ZY</I> ad Sectoris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16671 particulam <I>ATa</I> ut <I>AZq</I> ad 9,0827646 <I>ATq+AZq,</I> id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16672 $it <I>dZ</I> ad 1/2 <I>AZ</I> ut <I>ATq</I> ad 9,0827646 <I>ATq+AZq</I>; rectangu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16673 lum <I>dZ</I> in <I>ZY</I> de$ignabit decrementum temporis ex motu Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16674 oriundum, tempore toto quo arcus <I>Aa</I> percurritur. Et $i pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16675 ctum <I>d</I> tangit Curvam <I>NdGn,</I> area curvilinea <I>NdZ</I> erit decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16676 mentum totum, quo tempore arcus totus <I>NA</I> percurritur; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16677 propterea exce$$us Sectoris <I>NAT</I> $upra aream <I>NdZ</I> erit tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16678 illud totum. Et quoniam motus Nodi tempore minore minor e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16679 in ratione temporis, debebit etiam area <I>AaYZ</I> diminui in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16680 ratione. Id quod fiet $i capiatur in <I>AZ</I> longitudo <I>eZ,</I> quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16681 ad longitudinem <I>AZ</I> ut <I>AZq</I> ad 9,0827646 <I>ATq+AZq.</I> Sic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16682 enim rectangulum <I>eZ</I> in <I>ZY</I> erit ad aream <I>AZYa</I> ut decremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16683 tum temporis quo arcus <I>Aa</I> percurritur, ad tempus totum quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16684 percurreretur $i Nodus quie$ceret: Et propterea rectangulum illud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16685 re$pondebit decremento motus Nodi. Et $i punctum <I>e</I> tangat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16686 <pb n=414>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16687 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16688 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16689 Curvam <I>NeFn,</I> area tota <I>NeZ,</I> quæ $umma e$t omnium decre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16690 mentorum, re$pondebit decremento toti, quo tempore arcus <I>AN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16691 percurritur; & area reliqua <I>NAe</I> re$pondebit motui reliquo, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16692 verus e$t Nodi motus quo tempore arcus totus <I>NA,</I> per Solis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16693 Nodi conjunctos motus, percurritur. Jam vero area $emicirculi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16694 e$t ad aream Figuræ <I>NeFnT,</I> per methodum Serierum infinita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16695 rum quæ$itam, ut 793 ad 60 quamproxime. Motus autem qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16696 re$pondet Circulo toti erat 19<SUP>gr.</SUP> 49′. 3″. 55‴; & propterea motus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16697 qui Figuræ <I>NeFnT</I> duplicatæ re$pondet, e$t 1<SUP>gr.</SUP> 29′. 58″. 2‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16698 Qui de motu priore $ubductus relinquit 18<SUP>gr.</SUP> 19′. 5″. 53‴. motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16699 totum Nodi inter $ui ip$ius Conjunctiones cum Sole; & hic mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16700 tus de Solis motu annuo graduum 360 $ubductus, relinquit 341<SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16701 40′. 54″. 7‴. motum Solis inter ea$dem Conjunctiones. I$te au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16702 tem motus e$t ad motum annuum 360<SUP>gr.</SUP> ut Nodi motus jam in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16703 ventus 18<SUP>gr.</SUP> 19′. 5″. 53‴. ad ip$ius motum annuum, qui propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16704 erit 19<SUP>gr.</SUP> 18′. 1″. 23‴. Hic e$t motus medius Nodorum in anno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16705 Sidereo. Idem per Tabulas A$tronomicas e$t 19<SUP>gr.</SUP> 21′. 21″. 50‴.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16706 Differentia minor e$t parte trecente$ima motus totius, & ab Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16707 bis Lunaris Eccentricitate & Inclinatione ad planum Eclipticæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16708 oriri videtur. Per Eccentricitatem Orbis motus Nodorum nimis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16709 acceleratur, & per ejus Inclinationem vici$$im retardatur aliquan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16710 tulum, & ad ju$tam velocitatem reducitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16711 <C>PROPOSITIO XXXIII. PROBLEMA XIV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16712 <C><I>Invenire motum verum Nodorum Lunæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16713 <p>In tempore quod e$t ut area <I>NTA-NdZ, (in Fig. præced.)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16714 motus i$te e$t ut area <I>NAeN,</I> & inde datur. Verum ob nimiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16715 calculi difficultatem, præ$tat $equentem Problematis con$tructio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16716 nem adhibere. Centro <I>C,</I> intervallo quovis <I>CD,</I> de$cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16717 circulus <I>BEFD.</I> Producatur <I>DC</I> ad <I>A,</I> ut $it <I>AB</I> ad <I>AC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16718 ut motus medius ad $emi$$em motus veri mediocris, ubi Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16719 $unt in Quadraturis, (id e$t, ut 19<SUP>gr.</SUP> 18′. 1″. 23‴. ad 19<SUP>gr.</SUP> 49′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16720 3″. 55‴, atque adeo <I>BC</I> ad <I>AC</I> ut motuum differentia 0<SUP>gr.</SUP> 31′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16721 2″. 32‴, ad motum po$teriorem 19′<SUP>gr.</SUP> 49. 3″. 55‴) hoc e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16722 1 ad (38 1/10) dein per punctum <I>D</I> ducatur infinita <I>Gg,</I> quæ tangat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16723 circulum in <I>D</I>; & $i capiatur angulus <I>BCE</I> vel <I>BCF</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16724 duplæ di$tantiæ Solis a loco Nodi, per motum medium invento;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16725 <pb n=415>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16726 & agatur <I>AE</I> vel <I>AF</I> $ecans perpendiculum <I>DG</I> in <I>G</I>; & ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16727 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16728 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16729 piatur angulus qui $it ad motum totum Nodi inter ip$ius Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16730 gias (id e$t, ad 9<SUP>gr.</SUP> 11′. 3″.) ut tangens <I>DG</I> ad circuli <I>BED</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16731 circumferentiam totam; atque angulus i$te (pro quo angulus <I>DAG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16732 u$urpari pote$t) ad motum medium Nodorum addatur ubi Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16733 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16734 tran$eunt a Quadraturis ad Syzygias, & ab eodem motu medio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16735 $ubducatur ubi tran$eunt a Syzygiis ad Quadraturas; habebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16736 eorum motus verus. Nam motus verus $ic inventus congruet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16737 quam proxime cum motu vero qui prodit exponendo tempus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16738 aream <I>NTA-NdZ,</I> & motum Nodi per aream <I>NAeN</I>; ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16739 rem perpendenti & computationes in$tituenti con$tabit. Hæc e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16740 æquatio $eme$tris motus Nodorum. E$t & æquatio men$trua, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16741 quæ ad inventionem Latitudinis Lunæ minime nece$$aria e$t. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16742 cum Variatio Inclinationis Orbis Lunaris ad planum Eclipticæ du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16743 plici inæqualitati obnoxia $it, alteri $eme$tri, alteri autem men-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16744 $truæ; &c. hujus men$trua inæqualitas & æquatio men$trua Nodorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16745 ita $e mutuo contemperant & corrigunt, ut ambæ in determinan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16746 da Latitudine Lunæ negligi po$$int.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16747 <p><I>Corol.</I> Ex hac & præcedente Propo$itione liquet quod Nodi in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16748 Syzygiis $uis quie$cunt, in Quadraturis autem regrediuntur motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16749 horario 16″. 19‴. 26<SUP>iv</SUP>. Et quod æquatio motus Nodorum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16750 Octantibus $it 1<SUP>gr.</SUP> 30′. Quæ omnia cum Phænomenis c&oelig;le$tibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16751 probe quadrant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16752 <pb n=416>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16753 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16754 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16755 <C>PROPOSITIO XXXIV. PROBLEMA XV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16756 <C><I>Invenire Variationem horariam Inclinationis Orbis Lunaris ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16757 planum Eclipticæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16758 <p>De$ignent <I>A</I> & <I>a</I> Syzygias; <I>Q</I> & <I>q</I> Quadraturas; <I>N</I> & <I>n</I> No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16759 dos; <I>P</I> locum Lunæ in Orbe $uo; <I>p</I> ve$tigium loci illius in plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16760 Eclipticæ, & <I>mTl</I> motum momentaneum Nodorum ut $upra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16761 Et $i ad lineam <I>Tm</I> demittatur perpendiculum <I>PG,</I> jungatur <I>pG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16762 & producatur ea donec occurrat <I>Tl</I> in <I>g,</I> & jungatur etiam <I>Pg</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16763 erit angulus <I>PGp</I> Inclinatio orbis Lunaris ad planum Eclipticæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16764 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16765 ubi Luna ver$atur in <I>P</I>; & angulus <I>Pgp</I> Inclinatio eju$dem po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16766 momentum temporis completum; adeoque angulus <I>GPg</I> Variatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16767 momentanea Inclinationis. E$t autem hic angulus <I>GPg</I> ad an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16768 gulum <I>GTg,</I> ut <I>TG</I> ad <I>PG</I> & <I>Pp</I> ad <I>PG</I> conjunctim. Et prop-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16769 terea $i pro momento temporis $ub$tituatur hora; cum angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16770 <I>GTg</I> (per Propo$it. xxx.) $it ad angulum 33″. 10‴. 33<SUP>iv</SUP>. ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16771 <pb n=417>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16772 <I>ITXPGXAZ</I> ad <I>ATcub,</I> erit angulus <I>GPg</I> ($eu Inclinationis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16773 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16774 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16775 horaria Variatio) ad angulum 33″. 10‴. 33<SUP>iv</SUP>, ut <I>ITXAZXTG
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16776 X(Pp/PG)</I> ad <I>ATcub. Q.EI.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16777 <p>Hæc ita $e habent ex Hypothe$i quod Luna in Orbe Circulari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16778 uniformiter gyratur. Quod $i Orbis ille Ellipticus $it, motus me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16779 diocris Nodorum minuetur in ratione axis minoris ad axem majo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16780 rem; uti $upra expo$itum e$t. Et in eadem ratione minuetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16781 etiam Inclinationis Variatio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16782 <p><I>Corol.</I> 1. Si ad <I>Nn</I> erigatur perpendiculum <I>TF,</I> $itque <I>pM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16783 motus horarius Lunæ in plano Eclipticæ; & perpendicula <I>pK, Mk</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16784 in <I>QT</I> demi$$a & utrinque producta occurrant <I>TF</I> in <I>H</I> & <I>h</I>:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16785 erit <I>IT</I> ad <I>AT</I> ut <I>Kk</I> ad <I>Mp,</I> & <I>TG</I> ad <I>Hp</I> ut <I>TZ</I> ad <I>AT;</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16786 ideoque <I>ITXTG</I> æquale (<I>KkXHpXTZ/Mp</I>), hoc e$t, æquale areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16787 <I>HpMh</I> ductæ in rationem (<I>TZ/Mp</I>): & propterea Inclinationis Varia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16788 tio horaria ad 33″. 10‴. 33<SUP>iv</SUP>, ut <I>HpMh</I> ducta in <I>AZX(TZ/Mp)X(Pp/PG)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16789 ad <I>AT cub.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16790 <p><I>Corol.</I> 2. Ideoque $i Terra & Nodi $ingulis horis completis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16791 traherentur à locis $uis novis, & in loca priora in in$tanti $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16792 reducerentur, ut $itus eorum, per men$em integrum periodicum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16793 datus maneret; tota Inclinationis Variatio tempore men$is illius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16794 foret ad 33″. 10‴. 33<SUP>iv</SUP>, ut aggregatum omnium arearum <I>Hp Mh,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16795 in revolutione puncti <I>p</I> genitarum, & $ub $ignis propriis + & -
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16796 conjunctarum, ductum in <I>AZXTZX(Pp/PG)</I> ad <I>MpXAT cub.</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16797 e$t, ut circulus totus <I>QAqa</I> ductus in <I>AZXTZX(Pp/PG)</I> ad <I>MpX
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16798 ATcub.</I> hoc e$t, ut circumferentia <I>QAqa</I> ducta in <I>AZXTZX(Pp/PG)</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16799 ad 2 <I>MpXAT quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16800 <p><I>Corol.</I> 3. Proinde in dato Nodorum $itu, Variatio mediocris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16801 horaria, ex qua per men$em uniformiter continuata Variatio illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16802 men$trua generari po$$et, e$t ad 33″. 10‴. 33<SUP>iv</SUP>, ut <I>AZXTZ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16803 X(Pp/PG)</I> ad 2 <I>ATq,</I> $ive ut <I>PpX(AZXTZ/1/2AT)</I> ad <I>PGX4AT,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16804 <pb n=418>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16805 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16806 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16807 e$t (cum <I>Pp</I> $it ad <I>PG</I> ut $inus Inclinationis prædictæ ad ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16808 dium, & (<I>AZXTZ/1/2AT</I>) $it ad 4<I>AT</I> ut $inus duplicati anguli <I>ATn</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16809 ad radium quadruplicatum) ut Inclinationis eju$dem $inus ductus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16810 in $inum duplicatæ di$tantiæ Nodorum a Sole, ad quadruplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16811 quadratum radii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16812 <p><I>Corol.</I> 4. Quoniam Inclinationis horaria Variatio, ubi Nodi in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16813 Quadraturis ver$antur, e$t (per hanc Propo$itionem) ad angu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16814 lum 33″. 10‴. 33<SUP>iv</SUP> ut <I>ITXAZXTGX(Pp/PG)</I> ad <I>ATcub.</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16815 ut <I>(ITXTG/1/2AT)X(Pp/PG)</I> ad 2<I>AT</I>; hoc e$t, ut $inus duplicatæ di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16816 $tantiæ Lunæ à Quadraturis ductus in (<I>Pp/PG</I>) ad radium duplica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16817 tum: $umma omnium Variationum horariarum, quo tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16818 Luna in hoc $itu Nodorum tran$it à Quadratura ad Syzygiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16819 (id e$t, $patio horarum 177 1/6,) erit ad $ummam totidem angulo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16820 rum 33″. 10‴. 33<SUP>iv</SUP>, $eu 5878″, ut $umma omnium $inuum dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16821 catæ di$tantiæ Lunæ à Quadraturis ducta in (<I>Pp/PG</I>) ad $ummam to-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16822 tidem diametrorum; hoc e$t, ut diameter ducta in (<I>Pp/PG</I>) ad cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16823 cumferentiam; id e$t, $i Inclinatio $it 5<SUP>gr.</SUP> 1′, ut 7X(<*>74/10000) ad 22,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16824 $eu 278 ad 10000. Proindeque Variatio tota, ex $umma om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16825 nium horariarum Variationum tempore prædicto conflata, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16826 163″, $eu 2′. 43″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16827 <C>PROPOSITIO XXXV. PROBLEMA XVI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16828 <C><I>Dato tempore invenire Inclinationem Orbis Lunaris ad planum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16829 Eclipticæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16830 <p>Sit <I>AD</I> $inus Inclinationis maximæ, & <I>AB</I> $inus Inclinatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16831 nis minimæ. Bi$ecetur <I>BD</I> in <I>C,</I> & centro <I>C,</I> intervallo <I>BC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16832 de$cribatur Circulus <I>BGD.</I> In <I>AC</I> capiatur <I>CE</I> in ea ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16833 ad <I>EB</I> quam <I>EB</I> habet ad 2<I>BA:</I> Et $i dato tempore con$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16834 tuatur angulus <I>AEG</I> æqualis duplicatæ di$tantiæ Nodorum à
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16835 <pb n=419>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16836 Quadraturis, & ad <I>AD</I> demittatur perpendiculum <I>GH</I>: erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16837 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16838 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16839 <I>AH</I> $inus Inclinationis quæ$itæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16840 <p>Nam <I>GEq</I> æquale e$t <I>GHq+HEq=BHD+HEq=
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16841 HBD+HEq-BHq=HBD+BEq</I>-2<I>BHXBE=
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16842 BEq</I>+2<I>ECXBH</I>=2<I>ECXAB</I>+2<I>ECXBH</I>=2<I>ECXAH.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16843 Ideoque cum 2<I>EC</I> detur, e$t <I>GEq</I> ut <I>AH.</I> De$ignet jam <I>AEg</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16844 duplicatam di$tantiam Nodorum à Quadraturis po$t datum ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16845 quod momentum temporis completum, & arcus <I>Gg.,</I> ob datum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16846 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16847 angulum <I>GEg,</I> erit ut di$tantia <I>GE.</I> E$t autem <I>Hh</I> ad <I>Gg</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16848 ut <I>GH</I> ad <I>GC,</I> & propterea <I>Hh</I> e$t ut contentum <I>GHXGg,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16849 $eu <I>GHXGE</I>; id e$t, ut <I>(GH/GE)XGEq</I> $eu <I>(GH/GE)XAH,</I> id e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16850 ut <I>AH</I> & $inus anguli <I>AEG</I> conjunctim. Igitur $i <I>AH</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16851 ca$u aliquo $it $inus Inclinationis, augebitur ea ii$dem incremen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16852 tis cum $inu Inclinationis, per Corol. 3. Propo$itionis $uperioris,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16853 & propterea $inui illi æqualis $emper manebit. Sed <I>AH</I> ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16854 punctum <I>G</I> incidit in punctum alterutrum <I>B</I> vel <I>D</I> huic $inui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16855 æqualis e$t, & propterea eidem $emper æqualis manet. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16856 <p>In hac demon$tratione $uppo$ui angulum <I>BEG,</I> qui e$t du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16857 plicata di$tantia Nodorum à Quadraturis, uniformiter augeri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16858 Nam omnes inæqualitatum minutias expendeve non vacat. Con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16859 cipe jam angulum <I>BEG</I> rectum e$$e, & in hoc ea$e <I>Gg</I> e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16860 augmentum horarium duplæ di$tantiæ Nodorum <*> Solis ab invi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16861 cem; & Inclinationis Variatio horaria in eodem ca$u (per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16862 3. Prop. novi$$imæ) erit ad 33′. 10‴. 33<SUP>iv</SUP>. ut contentum $ub In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16863 clinationis $inu <I>AH</I> & $inu anguli recti <I>BEG,</I> qui e$t dupli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16864 cata di$tantia Nodorum a Sole, ad quadruplum quadratum radii;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16865 id. e$t, ut mediocris Inclinationis $inus <I>AH</I> ad radium quadru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16866 plicatum; hoc e$t (cum Inclinatio illa mediocris $it quafi 5<SUP>gr.</SUP> 8′1/2)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16867 ut ejus $inus 896 ad radium quadruplicatum 40000, $ive ut 224
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16868 ad 10000. E$t autem Variatio tota, $inuum differentiæ <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16869 re$pondens, ad Variationem illam horariam ut diameter <I>BD</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16870 <pb n=420>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16871 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16872 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16873 arcum <I>Gg</I>; id e$t, ut diameter <I>BD</I> ad $emicircum ferentiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16874 <I>BGD</I> & tempus horarum (2079 1/10), quo Nodus pergit à Quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16875 turis ad Syzygias, ad horam unam conjunctim; hoc e$t, ut 7 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16876 11 & (2079 7/10) ad 1. Quare $i rationes omnes conjungantur, fiet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16877 Variatio tota <I>BD</I> ad 33″. 10‴. 33<SUP>ix</SUP> ut 224X7X2079 (7/10) ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16878 110000, id e$t, ut 29645 ad 1000, & inde Variatio illa <I>BD</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16879 prodibit 16′. 23″ 1/2.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16880 <p>Hæc e$t Inclinationis Variatio maxima quatenus locus Lunæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16881 Orbe $uo non con$ideratur. Nam Inclinatio, $i Nodi in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16882 ver$antur, nil mutatur ex vario $itu Lunæ. At $i Nodi in Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16883 draturis con$i$tunt, Inclinatio minor e$t ubi Luna ver$atur in Sy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16884 zygiis, quam ubi ea ver$atur in Quadraturis, exce$$u 2′. 43″; uti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16885 in Propo$itionis $uperioris Corollario quarto indicavimus. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16886 hujus exce$$us dimidio 1′. 21″ 1/2. Variatio tota mediocris <I>BD</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16887 Quadraturis Lunaribus diminuta fit 15′, 2″, in ip$ius autem Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16888 giis aucta fit 17′. 45″. Si Luna igitur in Syzygiis con$tituatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16889 Variatio tota, in tran$itu Nodorum à Quadraturis ad Syzygias,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16890 erit 17′. 45″: adeoque $i Inclinatio, ubi Nodi in Syzygiis ver$an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16891 tur, $it 5<SUP>gr.</SUP> 17′. 20″; eadem, ubi Nodi $unt in Quadraturis, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16892 Luna in Syzygiis, erit 4<SUP>gr.</SUP> 59′. 35″. Atque hæc ita $e habere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16893 confirmatur ex Ob$ervationibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16894 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16895 <p>Si jam defideretur Orbis Inclinatio illa, ubi Luna in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16896 & Nodi ubivis ver$antur; fiat <I>AB</I> ad <I>AD</I> ut $inus graduum 4.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16897 59′. 35″ ad $inum graduum <*>. 17′, 20″, & capiatur angulus <I>AEG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16898 æqualis duplicatæ di$tantiæ Nodorum à Quadraturis; & erit <I>AH</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16899 $inus Inclinationis quæ$itæ. Huic Orbis Inclinationi æqualis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16900 eju$dem Inclinatio, ubi Luna di$tat 90<SUP>gr.</SUP> à Nodis. In aliis Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16901 locis inæqualitas men$trua, quam Inclinationis variatio admittit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16902 in calculo Latitudinis Lunæ compen$atur & quodammodo tolli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16903 tur per inæqualitatem men$truam motus Nodorum, (ut $upra dixi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16904 mus) adeoque in calculo Latitudinis illius negligi pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16905 <pb n=421>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16906 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16907 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16908 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16909 <p>Hi$ce motuum Lunarium computationibus o$tendere volui,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16910 quod motus Lunares, per Theoriam Gravitatis, a cau$is $uis com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16911 putari po$$int. Per eandem Theoriam inveni præterea quod Æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16912 quatio Annua medii motus Lunæ oriatur a varia dilatatione Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16913 bis Lunæ per vim Solis, juxta Corol. 6. Prop. LXVI. Lib. I. Hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16914 vis in Perigæo Solis major e$t, & Orbem Lunæ dilatat; in Apo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16915 gæo ejus minor e$t, & Orbem illum contrahi permittit. In Orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16916 dilatato Luna tardius revolvitur, in contracto citius; & Æquatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16917 Annua per quam hæc inæqualitas compen$atur, in Apogæo &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16918 Perigæo Solis nulla e$t, in mediocri Solis a Terra di$tantia ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16919 11′. 50″ circiter a$cendit, in aliis locis Æquationi centri Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16920 proportionalis e$t; & additur medio motui Lunæ ubi Terra per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16921 git ab Aphelio $uo ad Perihelium, & in oppo$ita Orbis parte, $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16922 ducitur. A$$umendo radium Orbis magni 1000 & Eccentricita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16923 tem Terræ 16 7/8, hæc Æquatio ubi maxima e$t, per Theoriam Gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16924 vitatis prod<*> 11′. 49″. Sed Eccentricitas Terræ paulo major e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16925 videtur, & aucta Eccentricitate hæc Æquatio augeri debet in ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16926 dem ratione. Sit Eccentricitas (16 11/16), & Æquatio maxima erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16927 11′. 52″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16928 <p>Inveni etiam quod in Perihelio Terræ, propter majorem vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16929 Solis, Apogæum & Nodi Lunæ velocius moventur quam in Aphe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16930 lio ejus, idque in triplicata ratione di$tantiæ Terræ a Sole inver$e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16931 Et inde oriuntur Æquationes Annuæ horum motuum Æquationi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16932 centri Solis proportionales. Motus autem Solis e$t in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16933 ratione di$tantiæ Terræ a Sole inver$e, & maxima centri Æquatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16934 quam hæc inæqualitas generat, e$t 1<SUP>gr.</SUP> 56′. 26″ prædictæ Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16935 Eccentricitati (16 15/16) congruens. Quod $i motus Solis e$$et in tri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16936 plicata ratione di$tantiæ inver$e, hæc inæqualitas generaret Æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16937 tionem maximam 2<SUP>gr.</SUP> 56′. 9″. Et propterea Æquationes maxi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16938 mæ quas inæqualitates motuum Apogæi & Nodorum Lunæ gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16939 rant, $unt ad 2<SUP>gr.</SUP> 56′. 9″, ut motus medius diurnus Apogæi &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16940 motus medius diurnus Nodorum Lunæ $unt ad motum medium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16941 diurnum Solis. Unde prodit Æquatio maxima medii motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16942 Apogæi 19′. 52″: & Æquatio maxima medii motus Nodorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16943 9′. 27″. Additur vero Æquatio prior & $ubducitur po$terior, ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16944 Terra pergit a Perihelio $uo ad Aphelium: & contrarium fit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16945 oppo$ita Orbis parte.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16946 <pb n=422>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16947 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16948 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16949 <p>Per Theoriam Gravitatis con$titit etiam quod actio Solis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16950 Lunam paulo major $it ubi tran$ver$a diameter Orbis Lunaris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16951 tran$it per Solem, quam ubi eadem ad rectos e$t angulos cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16952 linea Terram & Solem jungente: & propterea Orbis Lunaris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16953 paulo major e$t in priore ca$u quam in po$teriore. Et hinc ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16954 tur alia Æquatio motus medii Lunaris, pendens a $itu Apogæi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16955 Lunæ ad Solem, quæ quidem maxima e$t cum Apogæum Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16956 ver$atur in Octante cum Sole; & nulla cum illud ad Quadraturas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16957 vel Syzygias pervenit: & motui medio additur in tran$itu Apo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16958 gæi Lunæ a Solis Quadratura ad Syzygiam, & $ubducitur in tran-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16959 $itu Apogæi a Syzygia ad Quadraturam. Hæc Æquatio quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16960 Seme$trem vocabo, in Octantibus Apogæi quando maxima e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16961 a$cendit ad 3′. 45″ circiter, quantum ex Phænomenis colligere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16962 potui. Hæc e$t ejus quantitas in mediocri Solis di$tantia a Terra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16963 Augetur vero ac diminuitur in triplicata ratione di$tantiæ Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16964 inver$e, adeoque in maxima Solis di$tantia e$t 3′. 34″, & in mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16965 nima 3′. 56″ quamproxime: ubi vero Apogæum Lunæ $itum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16966 extra Octantes, evadit minor; e$tque ad Æquationem maximam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16967 ut $inus duplæ di$tantiæ Apogæi Lunæ a proxima Syzygia vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16968 Quadratura ad radium.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16969 <p>Per eandem Gravitatis Theoriam actio Solis in Lunam paulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16970 major e$t ubi linea recta per Nodos Lunæ ducta tran$it per So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16971 lem, quam ubi linea ad rectos e$t angulos cum recta Solem ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16972 Terram jungente. Et inde oritur alia medii motus Lunaris Æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16973 tio, quam Seme$trem $ecundam vocabo, quæque maxima e$t ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16974 Nodi in Solis Octantibus ver$antur, & evane$cit ubi $unt in Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16975 giis vel Quadraturis, & in aliis Nodorum po$itionibus proportio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16976 nalis e$t $inui duplæ di$tantiæ Nodi alterutrius a proxima Syzygia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16977 aut Quadratura: additur vero medio motui Lunæ dum Nodi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16978 tran$eunt a Solis Quadraturis ad proximas Syzygias, & fubduci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16979 tur in eorum tran$itu a Syzygiis ad Quadraturas; & in Octanti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16980 bus ubi maxima e$t, a$cendit ad 47″ in mediocri Solis di$tantia a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16981 Terra, uti ex Theoria Gravitatis colligo. In aliis Solis di$tantiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16982 hæe Æquatio, in Octantibus Nodorum, e$t reciproce ut cubus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16983 $tantiæ Solis a Terra, ideoque in Perigæo Solis ad 45″ in Apo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16984 gæo ejus ad 49″ circiter a$cendit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16985 <p>Per eandem Gravitatis Theoriam Apogæum Lunæ progreditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16986 quam maxime ubi vel cum Sole conjungitur vel eidem opponitur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16987 & regreditur ubi cum Sole Quadraturam facit. Et Eccentrici<*>as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16988 fit maxima in priore ca$u & minima in po$teriore, per Corol.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16989 <pb n=423>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16990 7, 8 & 9. Prop. LXVI. Lib. I. Et hæ inæqualitates per cadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16991 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16992 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16993 Corollaria permagnæ $unt, & Æquationem principalem Apogæi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16994 generant, quam Seme$trem vocabo. Et Æquatio maxima Seme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16995 $tris e$t 12<SUP>gr.</SUP> 18′ circiter, quantum ex Ob$ervationibus colligere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16996 potui. <I>Horroxius</I> no$ter Lunam in Ellip$i circum Terram, in ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16997 umbilico inferiore con$titutam, revolvi primus $tatuit. <I>Halleius</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16998 centrum Ellip$eos in Epicyclo locavit, cujus centrum uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	16999 revolvitur circum Terram. Et ex motu in Epicyclo oriuntur in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17000 æqualitates jam dictæ in progre$$u & regre$$u Apogæi & quanti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17001 tate Eccentricitatis. Dividi intelligatur di$tantia mediocris Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17002 a Terra in partes 100000, & referat <I>T</I> Terram & <I>TC</I> Eccentri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17003 citatem mediocrem Lunæ partium 5505. Producatur <I>TC</I> ad <I>B,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17004 ut $it <I>CB</I> $inus Æquationis maximæ Seme$tris 12<SUP>gr.</SUP> 18′ ad ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17005 dium <I>TC,</I> & circulus <I>BDA</I> centro <I>C</I> intervallo <I>CB</I> de$criptus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17006 erit Epicyclus ille in quo centrum Orbis Lunaris locatur & $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17007 cundum ordinem literarum <I>BDA</I> revolvitur. Capiatur angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17008 <I>BCD</I> æqualis duplo argumento annuo, $eu duplæ di$tantiæ veri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17009 loci Solis ab Apogæo Lunæ $emel æquato, & erit <I>CTD</I> Æquatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17010 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17011 Seme$tris Apogæi Lunæ & <I>TD</I> Eccentricitas Orbis ejus in Apo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17012 gæum $ecundo æquatum tendens. Habitis autem Lunæ motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17013 medio & Apogæo & Eccentricitate, ut & Orbis axe majore par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17014 tium 200000; ex his eruetur verus Lunæ locus in Orbe & di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17015 $tantia ejus a Terra, idque per Methodos noti$$imas.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17016 <p>In Perihelio Terræ, propter majorem vim Solis, centrum Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17017 bis Lunæ velocius movetur circum centrum <I>C</I> quam in Aphelio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17018 idque in triplicata ratione di$tantiæ Terræ a Sole inver$e. Ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17019 Æquationem centri Solis in Argumento annuo comprehen$am, cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17020 trum Orbis Lunæ velocius movetur in Epicyclo <I>BDA</I> in du-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17021 plicata ratione di$tantiæ Terræ a Sole inver$e. Ut idem adhuc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17022 velocius moveatur in ratione $implici di$tantiæ inver$e; ab Orbis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17023 centro <I>D</I> agatur recta <I>DE</I> ver$us Apogæum Lunæ, $eu rectæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17024 <I>TC</I> parallela, & capiatur angulus <I>EDF</I> æqualis exce$$ui Argu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17025 <pb n=424>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17026 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17027 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17028 menti annui prædicti $upra di$tantiam Apogæi Lunæ a Perigæo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17029 Solis in con$equentia; vel quod perinde e$t, capiatur angulus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17030 <I>CDF</I> æqualis complemento Anomaliæ veræ Solis ad gradus 360.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17031 Et $it <I>DF</I> ad <I>DC</I> ut dupla Eccentricitas Orbis magni ad di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17032 tiam mediocrem Solis a Terra, & motus medius diurnus Solis ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17033 Apogæo Lunæ ad motum medium diurnum Solis ab Apogæo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17034 proprio conjunctim, id e$t, ut 33 7/8 ad 1000 & 52′. 27″. 16‴ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17035 59′. 8″. 10‴ conjunctim, $ive ut 3 ad 100. Et concipe centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17036 Orbis Lunæ locari in puncto <I>F,</I> & in Epicyclo cujus centrum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17037 <I>D</I> & radius <I>DF</I> interea revolvi dum punctum <I>D</I> progreditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17038 in circumferentia circuli <I>DABD.</I> Hac enim ratione velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17039 qua centrum Orbis Lunæ in linea quadam curva circum centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17040 <I>C</I> de$cripta movebitur, erit reciproce ut cubus di$tantiæ Solis a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17041 Terra quamproxime, ut oportet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17042 <p>Computatio motus hujus difficilis e$t, $ed facilior reddetur per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17043 approximationem $equentem. Si di$tantia mediocris Lunæ a Terra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17044 $it partium 100000, & Eccentricitas <I>TC</I> $it partium 5505 ut $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17045 pra: recta <I>CB</I> vel <I>CD</I> invenietur partium 1172 1/4, & recta <I>DF</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17046 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17047 partium 35 1/3. Et hæc recta ad di$tantiam <I>TC</I> $ubtendit angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17048 ad Terram quem tran$latio centri Orbis a loco <I>D</I> ad locum <I>F</I> ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17049 nerat in motu centri hujus: & eadem recta duplicata in $itu paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17050 lelo ad di$tantiam $uperioris umbilici Orbis Lunæ a Terra, $ubten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17051 dit eundem angulum, quem utique tran$latio illa generat in motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17052 umbilici, & ad di$tantiam Lunæ a Terra $ubtendit angulum quem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17053 eadem tran$latio generat in motu Lunæ, quique propterea Æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17054 tio centri Secunda dici pote$t. Et hæc Æquatio in mediocri Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17055 di$tantia a Terra, e$t ut $inus anguli quem recta illa <I>DF</I> cum recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17056 a puncto <I>F</I> ad Lunam ducta continet quamproxime, & ubi ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17057 xima e$t evadit 2′. 25″. Angulus autem quem recta <I>DF</I> & recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17058 a puncto <I>F</I> ad Lunam ducta comprehendunt, invenitur vel $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17059 ducendo angulum <I>EDF</I> ab Anomalia media Lunæ, vel addendo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17060 di$tantiam Lunæ a Sole ad di$tantiam Apogæi Lunæ ab Apogæo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17061 <pb n=425>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17062 Solis. Et ut radius e$t ad $inum anguli $ic inventi, ita 2′. 25″
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17063 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17064 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17065 $unt ad Æquationem centri Secundam, addendam $i $umma illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17066 $it minor $emicirculo, $ubducendam $i major. Sic habebitur ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17067 Longitudo in ip$is Luminarium Syzygiis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17068 <p>Si computatio accuratior de$ideretur, corrigendus e$t locus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17069 Lunæ in Orbe ut $upra inventus per Variationem duplicem. De
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17070 Variatione Prima & principali diximus $upra, hæc maxima e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17071 in Octantibus Lunæ. Variatio altera maxima e$t in Quadrantibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17072 & oritur a varia Solis actione in Orbem Lunæ pro varia po$itione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17073 Apogæi Lunæ ad Solem, computatur vero in hunc modum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17074 Ut radius ad $inum ver$um di$tantiæ Apogæi Lunæ a Perigæo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17075 Solis in con$equentia, ita angulus quidam P ad quartum propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17076 tionalem. Et ut radius ad $inum di$tantiæ Lunæ a Sole, ita $um-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17077 ma hujus quarti proportionalis & anguli cuju$dam alterius Q ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17078 Variationem Secundam, $ubducendam $i Lunæ lumen augetur, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17079 dendam $i diminuitur. Sic habebitur locus verus Lunæ in Orbe,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17080 & per Reductionem loci hujus ad Eclipticam habebitur Longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17081 tudo Lunæ. Anguli vero P & Q ex Ob$ervationibus determi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17082 nandi $unt. Et interea $i pro angulo P u$urpentur 2′, & pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17083 angulo Q 1′, non multum errabitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17084 <p>Cum Atmo$phæra Terræ ad u$que altitudinem milliarium 35
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17085 vel 40 refringat lucem Solis, & refringendo $pargat eandem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17086 Umbram Terræ, & $pargendo lucem in confinio Umbræ dilatat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17087 Umbram: ad diametrum Umbræ quæ per Parallaxim prodit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17088 addo minutum unum primum in Eclip$ibus Lunæ, vel minutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17089 unum cum triente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17090 <p>Theoria vero Lunæ primo in Syzygiis, deinde in Quadraturis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17091 & ultimo in Octantibus per Phænomena examinari & $tabiliri de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17092 bet. Et opus hocce aggre$$urus motus medios Solis & Lunæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17093 tempus meridianum in Ob$ervatorio Regio <I>Grenovicen$i,</I> die ul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17094 timo men$is <I>Decembris</I> anni 1700. $t. vet. non incommode $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17095 quentes adhibebit: nempe motum medium Solis <FIG> 20<SUP>gr.</SUP> 43′. 40″, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17096 Apogæi ejus <FIG> 7<SUP>gr.</SUP> 44′. 30″, & motum medium Lunæ <FIG> 15<SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17097 20′. 00″, & Apogæi ejus <FIG> 8<SUP>gr.</SUP> 20′. 00″, & Nodi a$cendentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17098 <FIG> 27<SUP>gr.</SUP> 24′. 20″; & differentiam meridianorum Ob$ervatorii hu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17099 jus & Ob$ervatorii Regii <I>Pari$ien$is</I> 0<SUP>hor.</SUP> 9<SUP>min.</SUP> 20<SUP>$ec.</SUP>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17100 <pb n=426>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17101 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17102 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17103 <C>PROPOSITIO XXXVI. PROBLEMA XVII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17104 <C><I>Invenire vim Solis ad Mare movendum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17105 <p>Solis vis <I>ML</I> $eu <I>PT,</I> in Quadraturis Lunaribus, ad pertur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17106 bandos motus Lunares, erat (per Prop. XXV. hujus) ad vim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17107 gravitatis apud nos, ut 1 ad 638092, 6. Et vis <I>TM-LM</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17108 2<I>PK</I> in Syzygiis Lunaribus, e$t duplo major. Hæ autem vires,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17109 $i de$cendatur ad $uperficiem Terræ, diminuuntur in ratione di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17110 $tantiarum a centro Terræ, id e$t, in ratione 60 1/2 ad 1; adeo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17111 que vis prior in $uperficie Terræ, e$t ad vim gravitatis, ut 1 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17112 38604600. Hac vi Mare deprimitur in locis quæ 90 gradibus di$tant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17113 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17114 a Sole. Vi altera quæ duplo major e$t, Mare elevatur & $ub Sole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17115 & in regione Soli oppo$ita. Summa virium e$t ad vim gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17116 ut 1 ad 12868200. Et quoniam vis eadem eundem ciet motum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17117 $ive ea deprimat Aquam in regionibus quæ 90 gradibus di$tant à
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17118 Sole, $ive elevet eandem in regionibus $ub Sole & Soli oppo$itis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17119 hæc $umma erit tota Solis vis ad Mare agitandum; & eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17120 habebit effectum ac $i tota in regionibus $ub Sole & Soli oppo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17121 $itis Mare elevaret, in regionibus autem quæ 90 gradibus di$tant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17122 a Sole nil ageret.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17123 <p>Hæc e$t vis Solis ad Mare ciendum in loco quo vis dato, ubi Sol
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17124 tam in vertice loci ver$atur quam in mediocri $ua di$tantia a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17125 Terra. In aliis Solis po$itionibus vis ad Mare accollendum, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17126 ut $inus ver$us duplæ altitudinis Solis $upra horizontem loci di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17127 recte & cubus di$tantiæ Solis a Terra inver$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17128 <p><I>Corol.</I> Cum vis centrifuga partium Terræ à diurno Terræ motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17129 oriunda, quæ e$t ad vim gravitatis ut 1 ad 289, efficiat ut alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17130 <pb n=427>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17131 tudo Aquæ $ub Æquatore $uperet ejus altitudinem $ub Polis men-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17132 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17133 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17134 $ura pedum Pari$ien$ium 85820; vis Solaris de qua egimus, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17135 $it ad vim gravitatis ut 1 ad 12868200, atque adeo ad vim illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17136 centrifugam ut 289 ad 12868200 $eu 1 ad 44527, efficiet ut al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17137 titudo Aquæ in regionibus $ub Sole & Soli oppo$itis, $uperet alti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17138 tudinem ejus in locis quæ 90 gradibus di$tant a Sole, men$ura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17139 tantum pedis unius Pari$ien$is & digitorum undecim cum octava
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17140 parte digiti. E$t enim hæc men$ura ad men$uram pedum 85820
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17141 ut 1 ad 44527.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17142 <C>PROPOSITIO XXXVII. PROBLEMA XVIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17143 <C><I>Invenire vim Lunæ ad Mare movendum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17144 <p>Vis Lunæ ad Mare movendum colligendà e$t ex ejus propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17145 tione ad vim Solis, & hæc proportio colligenda e$t ex propor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17146 tione motuum Maris, qui ab his viribus oriuntur. Ante o$tium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17147 fluvii <I>Avonæ</I> ad lapidem tertium infra <I>Bri$toliam,</I> tempore verno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17148 & autumnali totus Aquæ a$cen$us in Conjunctione & Oppo$itione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17149 Luminarium (ob$ervante <I>Samuele Sturmio</I>) e$t pedum plus mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17150 nus 45, in Quadraturis autem e$t pedum tantum 25. Altitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17151 prior ex $umma virium, po$terior ex earundem differentia oritur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17152 Solis igitur & Lunæ in Æquatore ver$antium & mediocriter a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17153 Terra di$tantium $unto vires S & L, & erit L+S ad L-S ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17154 45 ad 25, $eu 9 ad 5.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17155 <p>In portu <I>Plymuthi</I> Æ$tus maris (ex ob$ervatione <I>Samuelis Cole-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17156 pre$$i</I>) ad pedes plus minus $exdecim altitudine mediocri attolli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17157 tur, ac tempore verno & autumnali altitudo Æ$tus in Syzygiis $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17158 perare pote$t altitudinem ejus in Quadraturis, pedibus plus $eptem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17159 vel octo. Si maxima harum altitudinum differentia $it pedum no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17160 vem, erit L+S ad L-S ut 20 1/2 ad 11 1/2 $eu 41 ad 23. Quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17161 proportio $atis congruit cum priore. Ob magnitudinem Æ$tus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17162 portu <I>Bi$toliæ,</I> ob$ervationibus <I>Sturmii</I> magis fidendum e$$e vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17163 detur, ideoque donec aliquid certius con$titerit, proportionem 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17164 ad 5 u$urpabimus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17165 <p>Cæterum ob aquarum reciprocos motus, Æ$tus maximi non in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17166 cidunt in ip$as Luminarium Syzygias, $ed $unt tertii a Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17167 ut dictum fuit, $eu proxime $equuntur tertium Lunæ po$t Syzy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17168 gias appul$um ad meridianum loci, vel potius (ut a <I>Sturmio</I> no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17169 tatur) $unt tertii po$t diem novilunii vel plenilunii, $eu po$t ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17170 <pb n=428>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17171 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17172 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17173 ram a novilunio vel plenilunio plus minus duodecimam, adeoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17174 incidunt in horam a novilunio vel plenilunio plus minus quadra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17175 ge$imam tertiam. Incidunt vero in hoc portu in horam $epti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17176 mam circiter ab appul$u Lunæ ad meridianum loci; ideoque pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17177 xime $equuntur appul$um Lunæ ad meridianum, ubi Luna di$tat a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17178 Sole vel ab oppo$itione Solis gradibus plus minus octodecim vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17179 novendecim in con$equentia. Æ$tas & Hyems maxime vigent,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17180 non in ip$is Sol$titiis, $ed ubi Sol di$tat a Sol$titiis decima circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17181 ter parte totius circuitus, $eu gradibus plus minus 36 vel 37. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17182 $imiliter maximus Æ$tus maris oritur ab appul$u Lunæ ad meri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17183 dianum loci, ubi Luna di$tat a Sole decima circiter parte motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17184 totius ab Æ$tu ad Æ$tum. Sit di$tantia illa graduum plus mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17185 nus 18 1/2. Et vis Solis in hac di$tantia Lunæ a Syzygiis & Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17186 draturis, minor erit ad augendum & ad minuendum motum ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17187 ris a vi Lunæ oriundum, quam in ip$is Syzygiis & Quadraturis, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17188 ratione radii ad $inum complementi di$tantiæ hujus duplicatæ $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17189 anguli graduum 37, hoc e$t, in ratione 10000000 ad 7986355.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17190 Ideoque in analogia $uperiore pro S $cribi debet 0, 7986355 S.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17191 <p>Sed & vis Lunæ in Quadraturis, ob declinationem Lunæ ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17192 Æquatore, diminui debet. Nam Luna in Quadraturis, vel potius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17193 in gradu 18 1/2 po$t Quadraturas, in declinatione graduum plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17194 minus 22. 13′ ver$atur. Et Luminaris ab Æquatore declinantis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17195 vis ad Mare movendum diminuitur in duplicata ratione $inus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17196 complementi declinationis quamproxime. Et propterea vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17197 Lunæ in his Quadraturis e$t tantum 0,8570327 L. E$t igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17198 L+0,7986355 S ad 0,8570327 L-0,7986355 S ut 9 ad 5.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17199 <p>Præterea diametri Orbis in quo Luna ab$que Eccentricitate mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17200 veri deberet, $unt ad invicem ut 69 ad 70; ideoque di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17201 Lunæ a Terra in Syzygiis e$t ad di$tantiam ejus in Quadraturis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17202 ut 69 ad 70, cæteris paribus. Et di$tantiæ ejus in gradu 18 1/2 a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17203 Syzygiis ubi Æ$tus maximus generatur, & in gradu 18 1/2 a Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17204 draturis ubi Æ$tus minimus generatur, $unt ad mediocrem ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17205 di$tantiam, ut 69,098747 & 69,897345 ad 69 1/2. Vires autem Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17206 næ ad Mare movendum $unt in triplicata ratione di$tantiarum in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17207 ver$e, ideoque vires in maxima & minima harum di$tantiarum $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17208 ad vim in mediocri di$tantia, ut 0,9830427 & 1,017522 ad 1. Unde fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17209 1,017522 L+0,7986355 S ad 0,9830427X0,8570327 L-0,7986355 S
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17210 ut 9 ad 5. Et S ad L ut 1 ad 4,4815. Itaque cum vis Solis fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17211 ad vim gravitatis ut 1 ad 12868200, vis Lunæ erit ad vim gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17212 tatis ut 1 ad 2871400.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17213 <pb n=429>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17214 <p><I>Corol.</I> 1. Cum Aqua vi Solis agitata a$cendat ad altitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17215 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17216 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17217 pedis unius & undecim digitorum cum octava parte digiti, eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17218 vi Lunæ a$cendet ad altitudinem octo pedum & digitorum octo,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17219 & vi utraque ad altitudinem pedum decem cum $emi$$e, & ubi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17220 Luna e$t in Perigæo ad altitudinem pedum duodecim cum $emi$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17221 & ultra, præ$ertim ubi Æ$tus ventis $pirantibus adjuvatur. Tanta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17222 autem vis ad omnes Maris motus excitandos abunde $ufficit, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17223 quantitati motuum probe re$pondet. Nam in maribus quæ ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17224 Oriente in Occidentem late patent, uti in Mari <I>Pacifico,</I> & Maris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17225 <I>Atlantici</I> & <I>Æthiopici</I> partibus extra Tropicos, aqua attolli $o-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17226 let ad altitudinem pedum $ex, novem, duodecim vel quindecim.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17227 In Mari autem <I>Pacifico,</I> quod profundius e$t & latius patet, Æ$tus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17228 dicuntur e$$e majores quam in <I>Atlantico</I> & <I>Æthiopico.</I> Etenim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17229 ut plenus $it Æ$tus, latitudo Maris ab Oriente in Occidentem non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17230 minor e$$e debet quàm graduum nonaginta. In Mari <I>Æthiopico,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17231 a$cen$us aquæ intra Tropicos minor e$t quam in Zonis tempera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17232 tis, propter angu$tiam Maris inter <I>Africam</I> & Au$tralem partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17233 <I>Americæ.</I> In medio Mari aqua nequit a$cendere, ni$i ad littus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17234 utrumque & orientale & occidentale $imul de$cendat: cum tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17235 vicibus alternis ad littora illa in Maribus no$tris angu$tis de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17236 dere debeat. Ea de cau$a fluxus & refluxus in In$ulis, quæ à
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17237 littoribus longi$$ime ab$unt, perexiguus e$$et $olet. In Portubus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17238 quibu$dam, ubi aqua cum impetu magno per loca vado$a, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17239 Sinus alternis vicibus implendos & evacuandos, influere & effluere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17240 cogitur, fluxus & refluxus debent e$$e $olito majores, uti ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17241 <I>Plymuthum</I> & pontem <I>Chep$towæ</I> in <I>Anglia</I>; ad montes S. <I>Mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17242 chaelis</I> & urbem <I>Abrincatuorum</I> (vulgo <I>Auranches</I>) in <I>Normania</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17243 ad <I>Cambaiam</I> & <I>Pegu</I> in <I>India</I> orientali. His in locis mare,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17244 magna cum velocitate accedendo & recedendo, littora nunc in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17245 undat nunc arida relinquit ad multa milliaria. Neque impetus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17246 influendi & remeandi prius frangi pote$t, quam aqua attollitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17247 vel deprimitur ad pedes 30, 40, vel 50 & amplius. Et par e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17248 ratio fretorum oblongorum & vado$orum, uti <I>Magellanici</I> & ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17249 quo <I>Anglia</I> circundatur. Æ$tus in huju$modi portubus & fretis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17250 per impetum cur$us & recur$us $upra modum augetur. Ad littora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17251 vero quæ de$cen$u præcipiti ad mare profundum & apertum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17252 $pectant, ubi aqua $ine impetu effluendi & remeandi attolli &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17253 $ub$idere pote$t, magnitudo Æ$tus re$pondet viribus Solis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17254 Lunæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17255 <pb n=430>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17256 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17257 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17258 <p><I>Corol.</I> 2. Cum vis Lunæ ad Mare movendum, $it ad vim gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17259 tatis ut 1 ad 2871400, per$picuum e$t quod vis illa $it longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17260 minor quam quæ vel in experimentis Pendulorum, vel in Staticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17261 aut Hydro$taticis quibu$cunque $entiri po$$it. In Æ$tu $olo ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17262 rino hæc vis $en$ibilem edit effectum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17263 <p><I>Corol.</I> 3. Quoniam vis Lunæ ad Mare movendum, e$t ad Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17264 vim con$imilem ut 4,4815 ad 1, & vires illæ (per Corol. 14.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17265 Prop. LXVI. Lib. I.) $unt ut den$itates corporum Lunæ & Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17266 & cubi diametrorum apparentium conjunctim; den$itas Lunæ erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17267 ad den$itatem Solis, ut 4,4815 ad 1 directe & cubus diametri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17268 Lunæ ad cubum diametri Solis inver$e: id e$t (cum diametri me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17269 diocres apparentes Lunæ & Solis $int 31′. 16 1/2″ & 32′. 12″) ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17270 4891 ad 1000. Den$itas autem Solis erat ad den$itatem Terræ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17271 ut 100 ad 396; & propterea den$itas Lunæ e$t ad den$itatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17272 Terræ, ut 4891 ad 3960 $eu 21 ad 17. E$t igitur corpus Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17273 den$ius & magis terre$tre quam Terra no$tra.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17274 <p><I>Corol.</I> 4. Et cum vera diameter Lunæ (ex Ob$ervationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17275 A$tronomicis) $it ad veram diametrum Terræ, ut 100 ad 365;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17276 erit ma$la Lunæ ad ma$$am Terræ, ut 1 ad 39,371.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17277 <p><I>Corol.</I> 5. Et gravitas acceleratrix in $uper$icie Lunæ, erit qua$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17278 triplo minor quam gravitas acceleratrix in $uperficie Terræ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17279 <p><I>Corol.</I> 6. Et di$tantia centri Lunæ a centro Terræ, erit ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17280 $tantiam centri Lunæ a communi gravitatis centro Terræ & Lunæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17281 ut 40,371 ad 39,371.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17282 <p><I>Corol.</I> 7. Et mediocris di$tantia centri Lunæ a centro Terræ, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17283 $emidiametrorum maximarum Terræ 60 1/4 quamproxime. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17284 $emidiameter maxima Terræ fuit pedum Pari$ien$ium 19767630,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17285 & mediocris di$tantia centrorum Terræ & Lunæ ex huju$modi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17286 $emidiametris 60 1/4 con$tans, æqualis e$t pedibus 1190999707. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17287 hæc di$tantia (per Corollarium $uperius) e$t ad di$tantiam centri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17288 Lunæ a communi gravitatis centro Terræ & Lunæ, ut 40,371 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17289 39,371, quæ proinde e$t pedum 1161498340. Et cum Luna re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17290 volvatur re$pectu Fixarum, diebus 27, horis 7 & minutis primis 43 1/5;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17291 $inus ver$us anguli quem Luna, tempore minuti unius primi motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17292 $uo medio, circa commune gravitatis centrum Terræ & Lunæ de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17293 $cribit, e$t 1275235, exi$tente radio 100,000000,000000, Et ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17294 radius e$t ad hunc $inum ver$um, ita $unt pedes 1161498340 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17295 pedes 14,811833. Luna igitur vi illa qua retinetur in Orbe, ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17296 dendo in Terram, tempore minuti unius primi de$cribet pedes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17297 14,811833. Et $i hæc vis augeatur in ratione (177 29/40) ad (178 29/40), ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17298 <pb n=431>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17299 bebitur vis tota gravitatis in Orbe Lunæ, per Corol. Prop. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17300 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17301 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17302 Et hac vi Luna cadendo, tempore minuti unius primi de$cribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17303 deberet pedes 14,89517. Et ad $exage$imam partem hujus di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17304 $tantiæ, id e$t, ad di$tantiam pedum 19849995 a centro Terræ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17305 corpus grave cadendo, tempore minuti unius $ecundi de$cribere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17306 deberet etiam pedes 14,89517. Diminuatur hæc di$tantia in $ub-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17307 duplicata ratione pedum 14,89517 ad pedes 15,12028, & habebitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17308 di$tantia pedum 19701678 a qua grave cadendo, eodem tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17309 minuti unius $ecundi de$cribet pedes 15,12028, id e$t, pedes 15,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17310 dig 1, lin. 5,32. Et hac vi gravia cadunt in $uperficie Terræ, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17311 Latitudine urbis <I>Lutetiæ Pari$iorum,</I> ut $upra o$ten$um e$t. E$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17312 autem di$tantia pedum 19701678 paulo minor quam $emidiame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17313 ter globi huic Terræ æqualis, & paulo major quam Terræ hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17314 $emidiameter mediocris, ut oportet. Sed differentiæ $unt in$en$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17315 biles. Et propterea vis qua Luna retinetur in Orbe $uo, ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17316 $tantiam maximarum Terræ $emidiametrorum 60 1/4, ea e$t quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17317 vis Gravitatis in $uperficie Terræ requirit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17318 <p><I>Corol.</I> 8. Di$tantia mediocris centrorum Terræ & Lunæ, e$t me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17319 diocrium Terræ $emidiametrorum 60 1/2 quamproxime. Nam $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17320 midiameter mediocris, quæ erat pedum 19688725, e$t ad $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17321 diametrum maximam pedum 19767630, ut 60 1/4 ad 60 1/2 quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17322 proxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17323 <p>In his computationibus Attractionem magneticam Terræ non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17324 con$ideravimus, cujus utique quantitas perparva e$t & ignotatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17325 Siquando vero hæc Attractio inve$tigari poterit, & men$uræ gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17326 duum in Meridiano, ac longitudines Pendulorum i$ochronorum in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17327 diver$is parallelis, lege$que motuum Maris, & parallaxis Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17328 cum diametris apparentibus Solis & Lunæ ex Phænomenis accu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17329 ratius determinatæ fuerint: licebit calculum hunc omnem acc<*>ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17330 tius repetere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17331 <C>PROPOSITIO XXXVIII. PROBLEMA XIX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17332 <C><I>Invenire Figuram corporis Lunæ.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17333 <p>Si corpus Lunare fluidum e$$et ad in$tar Maris no$tri, vis Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17334 ad fluidum illud in partibus & citimis & ultimis elevandum, e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17335 ad vim Lunæ, qua Mare no$trum in partibus & $ub Luna & Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17336 oppo$itis attollitur, ut gravitas acceleratrix Lunæ in Terram ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17337 gravitatem acceleratricem Terræ in Lunam & diameter Lunæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17338 <pb n=432>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17339 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17340 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17341 diametrum Terræ conjunctim; id e$t, ut 39,371 ad 1 & 100 ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17342 365 conjunctim, $eu 1079 ad 100. Unde cum Mare no$trum vi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17343 Lunæ attollatur ad pedes 8 2/3, fluidum Lunare vi Terræ attolli de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17344 beret ad pedes 93 1/2. Eaque de cau$a Figura Lunæ Sphærois e$$et,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17345 cujus maxima diameter producta tran$iret per centrum Terræ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17346 $uperaret diametros perpendiculares exce$$u pedum 187. Talem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17347 igitur Figuram Luna affectat, eamque $ub initio induere debuit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17348 <I>Q. E. I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17349 <p><I>Corol.</I> Inde vero fit ut eadem $emper Lunæ facies in Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17350 obvertatur. In alio enim $itu corpus Lunare quie$cere non po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17351 te$t, $ed ad hunc $itum o$cillando $emper redibit. Attamen o$cil-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17352 lationes, ob parvitatem virium agitantium, e$$ent longè tardi$$imæ:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17353 adeo ut facies illa, quæ Terram $emper re$picere deberet, po$$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17354 alterum orbis Lunaris umbilicum, ob rationem in Prop. XVII. alla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17355 tam re$picere, neque $tatim abinde retrahi & in Terram converti.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17356 <C>LEMMA I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17357 <p><I>Si</I> APEp <I>Terram de$ignet uniformiter den$am, centroque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17358 C & Polis</I> P, p <I>& Æquatore</I> AE <I>delineatam; & $i centro</I> C
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17359 <I>radio</I> CP <I>de$cribi intelligatur Sphæra</I> Pape; <I>$it autem</I> QR <I>pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17360 num, cui recta a centro Solis ad centrum Terræ ducta normaliter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17361 in$i$tit; & Terræ totius exterioris</I> PapAPepE, <I>quæ Sphæra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17362 modo de$cripta altior e$t, particulæ $ingulæ conentur recedere hinc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17363 inde a plano</I> QR, <I>$itque conatus particulæ cuju$que ut eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17364 di$tantia a plano: Dico primo, quod tota particularum omnium, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17365 Æquatoris circulo</I> AE, <I>extra globum uniformiter per totum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17366 cuitum in morem annuli di$po$itarum, vis & efficacia ad Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17367 circum centrum ejus rotandam, $it ad totam particularum totidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17368 in Æquatoris puncto</I> A, <I>quod a plano</I> QR <I>maxime di$tat, con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17369 fi$tentium vim & efficaciam, ad Terram con$imili motu circulari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17370 circum centrum ejus movendam, ut unum ad duo. Et motus i$te
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17371 circularis circum axem, in communi $ectione Æquatoris & plani</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17372 QR <I>jacentem, peragetur.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17373 <p>Nam centro <I>C</I> diametro <I>BD</I> de$cribatur $emicirculus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17374 <I>BAFDC.</I> Dividi intelligatur $emicircum ferentia <I>BAD</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17375 <pb n=433>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17376 partes innumeras æquales, & a partibus $ingulis <I>F</I> ad diame-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17377 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17378 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17379 trum <I>BD</I> demittantur $inus <I>FY.</I> Et $umma quadratorum ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17380 $inibus omnibus <I>FY</I> æqualis erit $ummæ quadratorum ex $inibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17381 omnibus <I>CY,</I> & $umma utraque æqualis erit $ummæ quadrato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17382 rum ex totidem $emidiametris <I>CF</I>; adeoque $umma quadrato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17383 rum ex omnibus <I>FY,</I> erit duplo minor quam $umma quadrato-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17384 rum ex totidem $emidiametris <I>CF.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17385 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17386 <p>Jam dividatur perimeter circuli <I>AE</I> in particulas totidem æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17387 quales, & ab earum unaquaque <I>F</I> ad planum <I>QR</I> demittatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17388 perpendiculum <I>FG,</I> ut & a puncto <I>A</I> perpendiculum <I>AH.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17389 vis qua particula <I>F</I> recedit a plano <I>QR,</I> erit ut perpendiculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17390 illud <I>FG</I> per hypothe$in, & hæc vis ducta in di$tantiam <I>CG,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17391 erit efficacia particulæ <I>F</I> ad Terram circum centrum ejus con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17392 vertendam. Adeoque efficacia particulæ in loco <I>F,</I> erit ad effi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17393 caciam particulæ in loco <I>A,</I> ut <I>FGXGC</I> ad <I>AHXHC,</I> hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17394 e$t, ut <I>FCq</I> ad <I>ACq</I>; & propterea efficacia tota particularum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17395 omnium in locis $uis <I>F,</I> erit ad efficaciam particularum totidem in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17396 loco <I>A,</I> ut $umma omnium <I>FCq</I> ad $ummam totidem <I>ACq,</I> hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17397 e$t, (per jam demon$trata) ut unum ad duo. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17398 <p>Et quoniam particulæ agunt recedendo perpendiculariter a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17399 plano <I>QR,</I> idque æqualiter ab utraque parte hujus plani: eædem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17400 convertent circumferentiam circuli Æquatoris, eique inhærentem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17401 Terram, circum axem tam in plano illo <I>QR</I> quam in plano Æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17402 toris jacentem.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17403 <pb n=434>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17404 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17405 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17406 <C>LEMMA II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17407 <p><I>Ii$dem po$itis: Dico $ecundo quod vis & efficacia tota parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17408 cularum omnium extra globum undique $itarum, ad Terram cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17409 cum axem eundem rotandam, $it ad vim totam particularum toti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17410 dem, in Æquatoris circulo</I> AE, <I>uniformiter per totum circuitum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17411 in morem annuli di$po$itarum, ad Terram con$imili motu circulari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17412 movendam, ut duo ad quinque.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17413 <p>Sit enim <I>IK</I> circulus quilibet minor Æquatori <I>AE</I> parallelus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17414 $intque <I>L, l</I> particulæ duæ quævis æquales in hoc circulo extra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17415 globum <I>Pape</I> $itæ. Et $i in planum <I>QR,</I> quod radio in Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17416 ducto perpendiculare e$t, demittantur perpendicula <I>LM, lm:</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17417 vires totæ quibus particulæ illæ fugiunt planum <I>QR,</I> proporti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17418 onales erunt perpendiculis illis <I>LM, lm.</I> Sit autem recta <I>Ll</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17419 plano <I>Pape</I> parallela & bi$ecetur eadem in <I>X,</I> & per pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17420 ctum <I>X</I> agatur <I>Nn,</I> quæ parallela $it plano <I>QR</I> & perpendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17421 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17422 culis <I>LM, lm</I> occurrat in <I>N</I> ac <I>n,</I> & in planum <I>QR</I> demit-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17423 tatur perpendiculum <I>XT.</I> Et particularum <I>L</I> & <I>l</I> vires con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17424 trariæ, ad Terram in contrarias partes rotandam, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17425 <I>LMXMC</I> & <I>lmXmC,</I> hoc e$t, ut <I>LNXMC+NMXMC</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17426 <I>lnXmC-nmXmC,</I> $eu <I>LNXMC+NMXMC</I> & <I>LNXmC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17427 <pb n=435>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17428 -<I>NMXmC</I>: & harum differentia <I>LNXMm-NMX&horbar;MC+mC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17429 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17430 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17431 e$t vis particularum ambarum $imul $umptarum ad Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17432 rotandam. Hujus differentiæ pars affirmativa <I>LNXMm</I> $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17433 2<I>LNXNX,</I> e$t ad particularum duarum eju$dem magnitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17434 nis in <I>A</I> con$i$tentium vim 2<I>AHXHC,</I> ut <I>LXq</I> ad <I>ACq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17435 Et pars negativa <I>NMX&horbar;MC+mC</I> $eu 2<I>XYXCY,</I> ad parti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17436 cularum earundem in <I>A</I> con$i$tentium vim 2<I>AHXHC,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17437 <I>CXq</I> ad <I>ACq.</I> Ac proinde partium differentia, id e$t, par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17438 ticularum duarum <I>L</I> & <I>l</I> $imul $umptarum vis ad Terram rotan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17439 dam, e$t ad vim particularum duarum ii$dem æqualium & in loco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17440 <I>A</I> con$i$tentium, ad Terram itidem rotandam, ut <I>LXq-CXq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17441 ad <I>ACq.</I> Sed $i circuli <I>IK</I> circumferentia <I>IK</I> dividatur in par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17442 ticulas innumeras æquales <I>L,</I> erunt omnes <I>LXq</I> ad totidem <I>IXq</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17443 ut 1 ad 2, (per Lem. I.) atque ad totidem <I>ACq,</I> ut <I>IXq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17444 2<I>ACq</I>; & totidem <I>CXq</I> ad totidem <I>ACq</I> ut 2<I>CXq</I> ad 2<I>ACq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17445 Quare vires conjunctæ particularum omnium in circuitu circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17446 <I>IK,</I> $unt ad vires conjunctas particularum totidem in loco <I>A,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17447 <I>IXq</I>-2<I>CXq</I> ad 2<I>ACq</I>: & propterea (per Lem. I.) ad vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17448 conjunctas particularum totidem in circuitu circuli <I>AE,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17449 <I>IXq</I>-2<I>CXq</I> ad <I>ACq.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17450 <p>Jam vero $i Sphæræ diameter <I>Pp</I> dividatur in partes innume-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17451 ras æquales, quibus in$i$tant circuli totidem <I>IK</I>; materia in peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17452 metro circuli cuju$que <I>IK</I> erit ut <I>IXq</I>: ideoque vis materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17453 illius ad Terram rotandam, erit ut <I>IXq</I> in <I>IXq</I>-2<I>CXq.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17454 vis materiæ eju$dem, $i in circuli <I>AE</I> perimetro con$i$teret, e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17455 ut <I>IXq</I> in <I>ACq.</I> Et propterea vis particularum omnium ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17456 teriæ totius, extra globum in perimetris circulorum omnium con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17457 $i$tentis, e$t ad vim particularum totidem in perimetro circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17458 maximi <I>AE</I> con$i$tentis, ut omnia <I>IXq</I> in <I>IXq</I>-2<I>CXq</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17459 totidem <I>IXq</I> in <I>ACq,</I> hoc e$t, ut omnia <I>ACq-CXq</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17460 <I>ACq</I>-3<I>CXq</I> ad totidem <I>ACq-CXq</I> in <I>ACq,</I> id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17461 omnia <I>ACqq</I>-4<I>ACqXCXq</I>+3<I>CXqq</I> ad totidem <I>ACqq
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17462 -ACqXCXq,</I> hoc e$t, ut tota quantitas fluens cujus fluxio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17463 e$t <I>ACqq</I>-4<I>ACqXCXq</I>+3<I>CXqq,</I> ad totam quantitatem flu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17464 entem cujus fluxio e$t <I>ACqq-ACqXCXq</I>; ac proinde per Me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17465 thodum Fluxionum, ut <I>ACqqXCX</I>-4/3<I>ACqXCXcub</I>+<>/<><I>CXqc</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17466 ad <I>ACqqXCX</I>-1/3<I>ACqXCXcub,</I> id e$t, $i pro <I>CX</I> $cribatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17467 tota <I>Cp</I> vel <I>AC,</I> ut (4/15)<I>ACqc</I> ad 2/3<I>ACqc,</I> hoc e$t, ut duo ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17468 quinque. <I>Q. E. D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17469 <pb n=436>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17470 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17471 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17472 <C>LEMMA III.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17473 <p><I>Ii$dem po$itis: Dico tertio quod motus Terræ totius circum axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17474 jam ante de$criptum, ex motibus particularum omnium compo$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17475 tus, erit ad motum annuli prædicti circum axem eundem, in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17476 tione quæ componitur ex ratione materiæ in Terra ad materiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17477 in annulo, & ratione trium quadratorum ex arcu quadrantali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17478 circuli cuju$cunque ad duo quadrata ex diametro; id e$t, in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17479 tione materiæ ad materiam & numeri</I> 925275 <I>ad numerum</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17480 1000000.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17481 <p>E$t enim motus Cylindri circum axem $uum immotum revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17482 ventis, ad motum Sphæræ in$criptæ & $imul revolventis, ut quæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17483 libet quatuor æqualia quadrata ad tres ex circulis $ibi in$criptis:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17484 & motus Cylindri ad motum annuli tenui$$imi, Sphæram & Cy-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17485 lindrum ad communem eorum contactum ambientis, ut duplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17486 materiæ in Cylindro ad triplum materiæ in annulo; & annuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17487 motus i$te circum axem Cylindri uniformiter continuatus, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17488 eju$dem motum uniformem circum diametrum propriam, eodem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17489 tempore periodico factum, ut circumferentia circuli ad duplum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17490 diametri.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17491 <C>HYPOTHESIS II.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17492 <p><I>Si annulus prædictus Terra omni reliqua $ublata, $olus in Orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17493 Terræ, motu annuo circa Solem ferretur, & interea circa axem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17494 $uum, ad planum Eclipticæ in angulo graduum</I> 23 1/2 <I>inclinatum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17495 motu diurno revolveretur: idem foret motus Punctorum Æqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17496 noctialium $ive annulus i$te fluidus e$$et, $ive is ex materia rigida
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17497 & firma con$taret.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17498 <pb n=437>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17499 <C>PROPOSITIO XXXIX. PROBLEMA XX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17500 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17501 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17502 <C><I>Invenire Præce$$ionem Æquinoctiorum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17503 <p>Motus mediocris horarius Nodorum Lunæ in Orbe circulari,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17504 ubi Nodi $unt in Quadraturis, erat 16″. 35‴. 16<SUP>iv</SUP>. 36<SUP>v</SUP>. & hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17505 dimidium 8′. 17‴. 38<SUP>iv</SUP>. 18<SUP>v</SUP>. (ob rationes $upra explicatas) e$t mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17506 tus medius horarius Nodorum in tali Orbe; fitque anno toto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17507 $idereo 20<SUP>gr.</SUP> 11′. 46″. Quoniam igitur Nodi Lunæ in tali Orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17508 conficerent annuatim 20<SUP>gr.</SUP> 11′. 46″. in antecedentia; & $i plures
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17509 e$$ent Lunæ motus Nodorum cuju$que, per Corol. 16. Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17510 LXVI. Lib. I. forent ut tempora periodica; $i Luna $patio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17511 diei $iderei juxta $uperficiem Terræ revolveretur, motus annuus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17512 Nodorum foret ad 20<SUP>gr.</SUP> 11′. 46″. ut dies $idereus horarum 23. 56′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17513 ad tempus periodicum Lunæ dierum 27. 7 hor. 43′; id e$t, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17514 1436 ad 39343. Et par e$t ratio Nodorum annuli Lunarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17515 Terram ambientis; $ive Lunæ illæ $e mutuo non contingant, $ive
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17516 lique$cant & in annulum continuum formentur, $ive denique an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17517 nulus ille rige$cat & inflexibilis reddatur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17518 <p>Fingamus igitur quod annulus i$te, quoad quantitatem materiæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17519 æqualis $it Terræ omni <I>PapAPepE</I> quæ globo <I>Pape</I> $uperior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17520 e$t; (<I>Vid. Fig. pag.</I> 434.) & quoniam globus i$te e$t ad Terram illam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17521 $uperiorem ut <I>aCqu.</I> ad <I>ACqu.-aCqu.</I> id e$t (cum Terræ diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17522 minor <I>PC</I> vel <I>aC</I> $it ad diametrum majorem <I>AC</I> ut 229 ad 230,)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17523 ut 52441 ad 459; $i annulus i$te Terram $ecundum Æquatorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17524 cingeret & uterque $imul circa diametrum annuli revolveretur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17525 motus annuli e$$et ad motum globi interioris (per hujus Lem. III.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17526 ut 459 ad 52441 & 1000000 ad 925275 conjunctim, hoc e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17527 ut 4590 ad 485223; ideoque motus annuli e$$et ad $ummam mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17528 tuum annuli ac globi, ut 4590 ad 489813. Unde $i annulus glo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17529 bo adhæreat, & motum $uum quo ip$ius Nodi $eu puncta Æqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17530 noctialia regrediuntur, cum globo communicet: motus qui re$ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17531 bit in annulo erit ad ip$ius motum priorem, ut 4590 ad 489813;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17532 & propterea motus punctorum Æquinoctialium diminuetur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17533 eadem ratione. Erit igitur motus annuus punctorum Æqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17534 noctialium corporis ex annulo & globo compo$iti, ad motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17535 <pb n=438>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17536 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17537 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17538 20<SUP>gr.</SUP> 11′. 46″, ut 1436 ad 39343 & 4590 ad 489813 conjun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17539 ctim, id e$t, ut 100 ad 292369. Vires autem quibus Nodi Lu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17540 narum (ut $upra explicui) atque adeo quibus puncta Æquinoctia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17541 lia annuli regrediuntur (id e$t vires 3<I>IT, in Fig. pag.</I>403 & 404.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17542 $unt in $ingulis particulis ut di$tantiæ particularum à plano <I>QR,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17543 & his viribus particulæ illæ planum fugiunt; & propterea (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17544 Lem. II.) $i materia annuli per totam globi $uperficiem, in mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17545 rem figuræ <I>PapAPepE,</I> ad $uperiorem illam Terræ partem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17546 con$tituendam $pargeretur, vis & efficacia tota particularum om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17547 nium ad Terram circa quamvis Æquatoris diametrum rotandam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17548 atque adeo ad movenda puncta Æquinoctialia, evaderet minor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17549 quam prius in ratione 2 ad 5. Ideoque annuus Æquinoctiorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17550 regre$$us jam e$$et ad 20<SUP>gr.</SUP> 11′. 46″, ut 10 ad 73092: ac proinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17551 fieret 9″. 56‴. 50<SUP>iv</SUP>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17552 <p>Cæterum hic motus, ob inclinationem plani Æquatoris ad pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17553 num Eclipticæ, minuendus e$t, idque in ratione $inus 91706 (qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17554 $inus e$t complementi graduum 23 1/2) ad Radium 100000. Qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17555 ratione motus i$te jam fiet 9″. 7‴. 20<SUP>iv</SUP>. Hæc e$t annua Præce$$io
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17556 Æquinoctiorum a vi Solis oriunda.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17557 <p>Vis autem Lunæ ad Mare movendum erat ad vim Solis, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17558 4,4815 ad 1 circiter. Et vis Lunæ ad Æquinoctia movenda, e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17559 ad vim Soiis in eadem proportione. Indeque prodit annua Æ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17560 quinoctiorum Præce$$io a vi Lunæ oriunda 40″. 52‴. 52<SUP>iv</SUP>; ac tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17561 Præce$$io annua a vi utraque oriunda 50″. 00‴. 12<SUP>iv</SUP>. Et hic mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17562 tus cum Phænomenis congruit. Nam Præce$$io Æquinoctiorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17563 ex Ob$ervationibus A$tronomicis e$t minutorum $ecundorum plus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17564 minus quinquaginta.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17565 <p>Si altitudo Terræ ad Æquatorem $uperet altitudinem ejus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17566 Polos, milliaribus pluribus quam 17 1/6, materia ejus rarior erit ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17567 circumferentiam quam ad centrum: & Præce$$io Æquinoctiorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17568 ob altitudinem illam augeri, ob raritatem diminui debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17569 <p>De$crip$imus jam Sy$tema Solis, Terræ, Lunæ, & Planetarum:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17570 $upere$t ut de Cometis nonnulla adjiciantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17571 <pb n=439>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17572 <C>LEMMA IV.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17573 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17574 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17575 <C><I>Cometas e$$e Luna $uperiores & in regione Planetarum ver$ari.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17576 <p>Ut defectus Parallaxeos diurnæ extulit Cometas $upra regiones
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17577 $ublunares, $ic ex Parallaxi annua convincitur eorum de$cen$us in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17578 regiones Planetarum. Nam Cometæ qui progrediuntur $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17579 dum ordinem $ignorum $unt omnes, $ub exitu apparitionis, aut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17580 $olito tardiores aut retrogradi, $i Terra e$t inter ip$os & Solem;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17581 at ju$to celeriores $i Terra vergit ad oppo$itionem. Et e contra,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17582 qui pergunt contra ordinem $ignorum $unt ju$to celeriores in fine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17583 apparitionis, $i Terra ver$atur inter ip$os & Solem; & ju$to tar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17584 diores vel retrogradi $i Terra $ita e$t ad contrarias partes. Con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17585 tingit hoc maxime ex motu Terræ in vario ip$ius $itu, perinde ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17586 fit in Planetis, qui, pro motu Terræ vel con$pirante vel contra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17587 rio, nunc retrogradi $unt, nunc tardius progredi videntur, nunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17588 vero celerius. Si Terra pergit ad eandem partem cum Cometa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17589 & motu angulari circa Solem tanto celerius fertur, ut recta per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17590 Terram & Cometam perpetuo ducta convergat ad partes ultra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17591 Cometam, Cometa e Terra $pectatus, ob motum $uum tardiorem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17592 apparet e$$e retrogradus; $in Terra tardius fertur, motus Cometæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17593 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17594 (detracto motu Terræ) fit $altem tardior. At $i Terra pergit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17595 contrarias partes, Cometa exinde velocior apparet. Ex accele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17596 ratione autem vel retardatione vel motu retrogrado di$tantia Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17597 metæ in hunc modum colligitur. Sunto <I>r QA, r QB, r QC</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17598 ob$ervatæ tres longitudines Cometæ, $ub initio motus, $itque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17599 <I>r QF</I> longitudo ultimo ob$ervata, ubi Cometa videri de$init.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17600 <pb n=440>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17601 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17602 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17603 Agatur recta <I>ABC,</I> cujus partes <I>AB, BC</I> rectis <I>QA</I> & <I>QB,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17604 QB</I> & <I>QC</I> interjectæ, $int ad invicem ut tempora inter ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17605 vationes tres primas. Producatur <I>AC</I> ad <I>G,</I> ut $it <I>AG</I> ad <I>AB</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17606 ut tempus inter ob$ervationem primam & ultimam, ad tempus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17607 inter ob$ervationem primam & $ecundam, & jungatur <I>QG.</I> Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17608 $i Cometa moveretur uniformiter in linea recta, atque Terra vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17609 quie$ceret, vel etiam in linea recta, uniformi cum motu, progre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17610 deretur; foret angulus <I>r QG</I> longitudo Cometæ tempore Ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17611 $ervationis ultimæ. Angulus igitur <I>FQG,</I> qui longitudinum dif-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17612 ferentia e$t, oritur ab inæqualitate motuum Cometæ ac Terræ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17613 Hic autem angulus, $i Terra & Cometa in contrarias partes mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17614 ventur, additur angulo <I>rQG,</I> & $ic motum apparentem Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17615 metæ velociorem reddit: Sin Cometa pergit in ea$dem partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17616 cum Terra, eidem $ubducitur, motumque Cometæ vel tardiorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17617 reddit, vel forte retrogradum; uti modo expo$ui. Oritur igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17618 hic angulus præcipue ex motu Terræ, & idcirco pro parallaxi Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17619 metæ merito habendus e$t, neglecto videlicet ejus incremento vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17620 decremento nonnullo, quod a Cometæ motu inæquabili in Orbe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17621 proprio oriri po$$it. Di$tantia vero Cometæ ex hac parallaxi $ic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17622 colligitur. De$ignet <I>S</I> Solem, <I>acT</I> Orbem magnum, <I>a</I> locum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17623 Terræ in ob$ervatione prima, <I>c</I> locum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17624 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17625 Terræ in ob$ervatione tertia, <I>T</I> locum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17626 Terræ in ob$ervatione ultima, & <I>Tr</I> li-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17627 neam rectam ver$us principium Arietis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17628 ductam. Sumatur angulus <I>rTV</I> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17629 lis angulo <I>rQF,</I> hoc e$t, æqualis lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17630 gitudini Cometæ ubi Terra ver$atur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17631 <I>T.</I> Jungatur <I>ac,</I> & producatur ea ad <I>g,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17632 ut $it <I>ag</I> ad <I>ac</I> ut <I>AG</I> ad <I>AC,</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17633 erit <I>g</I> locus quem Terra tempore ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17634 vationis ultimæ, motu in recta <I>ac</I> uni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17635 formiter continuato, attingeret. Ideo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17636 que $i ducatur <I>g r</I> ip$i <I>Tr</I> parallela,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17637 & capiatur angulus <I>rgV</I> angulo <I>rQG</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17638 æqualis, erit hic angulus <I>rgV</I> æqualis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17639 longitudini Cometæ e loco <I>g</I> $pectati;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17640 & angulus <I>TVg</I> parallaxis erit, quæ oritur a tran$latione Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17641 de loco <I>g</I> in locum <I>T</I>: ac proinde <I>V</I> locus erit Cometæ in plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17642 Eclipticæ. Hic autem locus <I>V</I> Orbe Jovis inferior e$$e $olet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17643 <pb n=441>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17644 <p>Idem colligitur ex curvatura viæ Cometarum. Pergunt hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17645 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17646 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17647 corpora propemodum in circulis maximis quamdiu moventur cele-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17648 rius; at in fine cur$us, ubi motus apparentis pars illa quæ à pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17649 rallaxi oritur, majorem habet proportionem ad motum totum ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17650 parentem, deflectere $olent ab his circulis, & quoties Terra mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17651 vetur in unam partem, abire in partem contrariam. Oritur hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17652 deflexio maxime ex Parallaxi, propterea quod re$pondet motui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17653 Terræ; & in$ignis ejus quantitas, meo computo, collocavit di$pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17654 rentes Cometas $atis longe infra Jovem. Unde con$equens e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17655 quod in Perigæis & Periheliis, ubi propius ad$unt, de$cendunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17656 $æpius infra orbes Martis & inferiorum Planetarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17657 <p>Confirmatur etiam propinquitas Cometarum ex luce capitum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17658 Nam corporis c&oelig;le$tis a Sole illu$trati & in regiones longinquas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17659 abeuntis, diminuitur $plendor in quadruplicata ratione di$tantiæ:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17660 in duplicata ratione videlicet ob auctam corporis di$tantiam a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17661 Sole, & in alia duplicata ratione ob diminutam diametrum appa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17662 rentem. Unde $i detur & lucis quantitas & apparens diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17663 Cometæ, dabitur di$tantia, dicendo quod di$tantia $it ad di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17664 tiam Planetæ, in ratione diametri ad diametrum directe & ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17665 $ubduplicata lucis ad lucem inver$e. Sic minima capillitii Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17666 metæ anni 1682 diameter, per Tubum opticum $exdecim pedum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17667 a <I>Flam$tedio</I> ob$ervata & Micrometro men$urata, æquabat 2′. 0″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17668 Nucleus autem $eu $tella in medio capitis vix decimam partem la-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17669 titudinis hujus occupabat, adeoque lata erat tantum 11″ vel 12″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17670 Luce vero & claritate capitis $uperabat caput Cometæ anni 1680,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17671 $tella$que primæ vel $ecundæ magnitudinis æmulabatur. Ponamus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17672 Saturnum cum annulo $uo qua$i quadruplo lucidiorem fui$$e: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17673 quoniam lux annuli propemodum æquabat lucem globi inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17674 medii, & diameter apparens globi $it qua$i 21″, adeoque lux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17675 globi & annuli conjunctim æquaret lucem globi, cujus diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17676 e$$et 30″: erit di$tantia Cometæ ad di$tantiam Saturni ut 1 ad √ 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17677 inver$e, & 12″ ad 30″ directe, id e$t, ut 24 ad 30 $eu 4 ad 5.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17678 Rur$us Cometa anni 1665 men$e <I>Aprili,</I> ut author e$t <I>Hevelius,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17679 claritate $ua pene Fixas omnes $uperabat, quinetiam ip$um Satur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17680 num, ratione coloris videlicet longe vividioris. Quippe lucidior
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17681 erat hic Cometa altero illo, qui in fine anni præcedentis apparu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17682 erat & cum $tellis primæ magnitudinis conferebatur. Latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17683 capillitii erat qua$i 6′, at nucleus cum Planetis ope Tubi optici
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17684 collatus, plane minor erat Jove, & nunc minor corpore interme-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17685 <pb n=442>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17686 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17687 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17688 dio Saturni, nunc ip$i æqualis judicabatur. Porro cum diameter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17689 capillitii Cometarum raro $uperet 8′ vel 12′, diameter vero nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17690 clei $eu $tellæ centralis $it qua$i decima vel forte decima quinta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17691 pars diametri capillitii, patet Stellas ha$ce ut plurimum eju$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17692 e$$e apparentis magnitudinis cum Planetis. Unde cum lux earum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17693 cum luce Saturni non raro conferri po$$it, eamque aliquando $u-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17694 peret; manife$tum e$t quod Cometæ omnes in Periheliis vel in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17695 fra Saturnum collocandi $int, vel non longe $upra. Errant igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17696 toto c&oelig;lo qui Cometas in regionem Fixarum prope ablegant: qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17697 certe ratione non magis illu$trari deberent a Sole no$tro, quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17698 Planetæ, qui hic $unt, illu$trantur a Stellis fixis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17699 <p>Hæc di$putavimus non con$iderando ob$curationem Cometa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17700 rum per $umum illum maxime copio$um & cra$$um, quo caput
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17701 circundatur, qua$i per nubem obtu$e $emper lucens. Nam quan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17702 to ob$curius redditur corpus per hunc fumum, tanto propius ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17703 Solem accedat nece$$e e$t, ut copia lucis a $e reflexa Planetas æmu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17704 letur. Inde veri$imile fit Cometas longe infra $phæram Saturni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17705 de$cendere, uti ex Parallaxi probavimus. Idem vero quam ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17706 xime confirmatur ex Caudis. Hæ vel ex reflexione fumi $par$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17707 per Æthera, vel ex luce capitis oriuntur. Priore ca$u minuenda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17708 e$t di$tantia Cometarum, ne fumus a capite $emper ortus per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17709 $patia nimis ampla incredibili cum velocitate & expan$ione pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17710 pagetur. In po$teriore referenda e$t lux omnis tam caudæ quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17711 capillitii ad nucleum capitis. Igitur $i concipiamus lucem hanc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17712 omnem congregari & intra di$cum nuclei coarctari, nucleus ille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17713 jam certe, quoties caudam maximam & fulgenti$$imam emittit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17714 Jovem ip$um $plendore $uo multum $uperabit. Minore igitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17715 cum diametro apparente plus lucis emittens, multo magis illu$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17716 bitur a Sole, adeoque erit Soli multo propior. Quinetiam capita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17717 $ub Sole delite$centia, & caudas cum maximas tum fulgenti$$imas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17718 in$tar trabium ignitarum nonnunquam emittentia, eodem argu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17719 mento infra orbem Veneris collocari debent. Nam lux illa omnis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17720 $i in $tellam congregari $upponatur, ip$am Venerem ne dicam Ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17721 neres plures conjunctas quandoque $uperaret.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17722 <p>Idem denique colligitur ex luce capitum cre$cente in rece$$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17723 Cometarum a Terra Solem ver$us, ac decre$cente in eorum rece$$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17724 a Sole ver$us Terram. Sic enim Cometa po$terior Anni 1665
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17725 (ob$ervante <I>Hevelio,</I>) ex quo con$pici c&oelig;pit, remittebat $emper
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17726 <pb n=443>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17727 de motu $uo apparente, adeoque præterierat Perigæum; Splen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17728 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17729 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17730 dor vero capitis nihilominus indies cre$cebat, u$que dum Cometa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17731 radiis Solaribus obtectus de$iit apparere. Cometa Anni 1683,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17732 ob$ervante eodem <I>Hevelio,</I> in fine Men$is <I>Julii</I> ubi primum con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17733 $pectus e$t, tardi$$ime movebatur, minuta prima 40 vel 45 circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17734 ter $ingulis diebus in Orbe $uo conficiens. Ex eo tempore motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17735 ejus diurnus perpetuo augebatur u$que ad <I>Sept.</I> 4. quando eva$it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17736 graduum qua$i quinque. Igitur toto hoc tempore Cometa ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17737 Terram appropinquabat. Id quod etiam ex diametro capitis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17738 Micrometro men$urata colligitur: quippe quam <I>Hevelius</I> reperit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17739 <I>Aug.</I> 6. e$$e tantum 6′. 5″ inclu$a coma, at <I>Sept.</I> 2. e$$e 9′. 7″.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17740 Caput igitur initio longe minus apparuit quam in $ine motus, at
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17741 initio tamen in vicinia Solis longe lucidius extitit quam circa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17742 finem, ut refert idem <I>Hevelius.</I> Proinde toto hoc tempore, ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17743 rece$$um ip$ius a Sole, quoad lumen decrevit, non ob$tante ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17744 ce$$u ad Terram. Cometa Anni 1618 circa medium Men$is <I>De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17745 cembris,</I> & i$te Anni 1680 circa finem eju$dem Men$is, celerrime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17746 movebantur, adeoque tunc erant in Perigæis. Verum $plendor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17747 maximus capitum contigit ante duas fere $eptimanas, ubi modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17748 exierant de radiis Solaribus; & $plendor maximus caudarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17749 paulo ante, in majore vicinitate Solis. Caput Cometæ prioris,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17750 juxta ob$ervationes <I>Cy$ati, Decemb.</I> 1. majus videbatur $tellis pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17751 mæ magnitudinis, & <I>Decemb.</I> 16. (jam in Perigæo exi$tens) mag-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17752 nitudine parum, $plendore $eu claritate luminis plurimum defe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17753 cerat. <I>Jan.</I> 7. <I>Keplerus</I> de capite incertus finem fecit ob$ervandi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17754 Die 12 men$is <I>Decemb.</I> con$pectum & a <I>Flam$tedio</I> ob$ervatum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17755 e$t caput Cometæ po$terioris, in di$tantia novem graduum a Sole;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17756 id quod $tellæ tertiæ magnitudinis vix conce$$um fui$$et. <I>Decemb.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17757 15. & 17 apparuit idem ut $tella tertiæ magnitudinis, diminutum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17758 utique $plendore Nubium juxta Solem occidentem. <I>Decemb.</I> 26.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17759 veloci$$ime motus, inque Perigæo propemodum exi$tens, cedebat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17760 ori Pega$i, Stellæ tertiæ magnitudinis. <I>Jan.</I> 3. apparebat ut Stella
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17761 quartæ, <I>Jan.</I> 9. ut Stella quintæ, <I>Jan.</I> 13. ob $plendorem Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17762 cre$centis di$paruit. <I>Jan.</I> 25. vix æquabat Stellas magnitudinis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17763 $eptimæ. Si $umantur æqualia a Perigæo hinc inde tempora, ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17764 pita quæ temporibus illis in longinquis regionibus po$ita, ob
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17765 æquales a Terra di$tantias, æqualiter lucere debui$$ent, in plaga
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17766 Solis maxime $plenduere, ex altera Perigæi parte evanuere. Igi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17767 tur ex magna lucis in utroque $itu differentia, concluditur magna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17768 Solis & Cometæ vicinitas in $itu priore. Nam lux Cometarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17769 <pb n=444>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17770 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17771 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17772 regularis e$$e $olet, & maxima apparere ubi capita veloci$$ime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17773 moventur, atque adeo $unt in Perigæis; ni$i quatenus ea major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17774 e$t in vicinia Solis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17775 <p><I>Corol.</I> 1. Splendent igitur Cometæ luce Solis a $e reflexa.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17776 <p><I>Corol.</I> 2. Ex dictis etiam intelligitur cur Cometæ tantopere fre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17777 quentant regionem Solis. Si cernerentur in regionibus longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17778 ultra Saturnum, deberent $æpius apparere in partibus Soli oppo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17779 $itis. Forent enim Terræ viciniores qui in his partibus ver$a-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17780 rentur, & Sol interpo$itus ob$curaret cæteros. Verum percur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17781 rendo hi$torias Cometarum, reperi quod quadruplo vel quintuplo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17782 plures detecti $unt in Hemi$phærio Solem ver$us, quam in He-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17783 mi$phærio oppo$ito, præter alios procul dubio non paucos quos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17784 lux Solaris obtexit. Nimirum in de$cen$u ad regiones no$tras
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17785 neque caudas emittunt, neque adeo illu$trantur a Sole, ut nudis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17786 oculis $e prius detegendos exhibeant, quam $int ip$o Jove pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17787 piores. Spatii autem tantillo intervallo circa Solem de$cripti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17788 pars longe major $ita e$t a latere Terræ quod Solem re$picit;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17789 inque parte illa majore Cometæ, Soli ut plurimum viciniores,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17790 magis illuminari $olent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17791 <p><I>Corol.</I> 3. Hinc etiam manife$tum e$t, quod C&oelig;li re$i$tentia de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17792 $tituuntur. Nam Cometæ vias obliquas & nonnunquam cur$ui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17793 Planetarum contrarias $ecuti, moventur omnifariam liberrime, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17794 motus $uos etiam contra cur$um Planetarum, diuti$$ime con$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17795 vant. Fallor ni genus Planetarum $int, & motu perpetuo in or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17796 bem redeant. Nam quod Scriptores aliqui Meteora e$$e volunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17797 argumentum a capitum perpetuis mutationibus ducentes, funda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17798 mento carere videtur. Capita Cometarum Atmo$phæris ingen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17799 tibus cinguntur; & Atmo$phæræ inferne den$iores e$$e debent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17800 Unde nubes $unt, non ip$a Cometarum corpora, in quibus muta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17801 tiones illæ vi$untur. Sic Terra $i e Planetis $pectaretur, luce nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17802 bium $uarum proculdubio $plenderet, & corpus firmum $ub nu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17803 bibus prope delite$ceret. Sic cingula Jovis in nubibus Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17804 illius formata e$t, quæ $itum mutant inter $e, & firmum Jovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17805 corpus per nubes illas difficilius cernitur. Et multo magis cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17806 pora Cometarum $ub Atmo$phæris & profundioribus & cra$$iori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17807 bus ab$condi debent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17808 <pb n=445>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17809 <C>PROPOSITIO XL. THEOREMA XX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17810 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17811 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17812 <p><I>Cometas in Sectionibus Conicis umbilicos in centro Solis haben-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17813 tibus moveri, & radiis ad Solem ductis areas temporibus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17814 portionales de$cribere.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17815 <p>Patet per Corol. 1. Propo$. XIII. Libri primi, collatum cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17816 Prop. VIII, XII & XIII. Libri tertii.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17817 <p><I>Corol.</I> 1. Hinc $i Cometæ in orbem redeunt: Orbes erunt Ellip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17818 $es, & tempora periodica erunt ad tempora periodica Planetarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17819 in axium principalium ratione $e$quiplicata. Ideoque Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17820 maxima ex parte $upra Planetas ver$antes, & eo nomine Orbes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17821 axibus majoribus de$cribentes, tardius revolventur. Ut $i axis Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17822 bis Cometæ $it quadruplo major axe Orbis Saturni, tempus revo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17823 lutionis Cometæ erit ad tempus revolutionis Saturni, id e$t, ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17824 annos 30, ut 4 √ 4 ($eu 8) ad 1, ideoque erit annorum 240.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17825 <p><I>Corol.</I> 2. Orbes autem erunt Parabolis adeo finitimi, ut eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17826 vice Parabolæ, ab$que erroribus $en$ibilibus, adhiberi po$$int.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17827 <p><I>Corol.</I> 3. Et propterea, per Corol. 7. Prop. XVI. Lib. I. velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17828 citas Cometæ omnis, erit $emper ad velocitatem Planetæ cuju$vis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17829 circa Solem in circulo revolventis, in $ubduplicata ratione duplæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17830 di$tantiæ Planetæ a centro Solis, ad di$tantiam Cometæ a centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17831 Solis quamproxime. Ponamus radium Orbis magni, $eu Ellip$eos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17832 in qua Terra revolvitur $emidiametrum maximam, e$$e partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17833 100000000: & Terra motu $uo diurno mediocri de$cribet partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17834 1720212, & motu horario partes 71675 1/2. Ideoque Cometa in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17835 eadem Telluris a Sole di$tantia mediocri, ea cum velocitate quæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17836 $it ad velocitatem Telluris ut √ 2 ad 1, de$cribet motu $uo diurno
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17837 partes 2432747, & motu horario partes 10136. In majoribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17838 autem vel minoribus di$tantiis, motus tum diurnus tum horarius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17839 erit ad hunc motum diurnum & horarium in $ubduplicata ratione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17840 di$tantiarum reciproce, ideoque datur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17841 <p><I>Corol.</I> 4. Unde $i Latus rectum Parabolæ quadruplo majus $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17842 radio Orbis magni, & quadratum radii illius ponatur e$$e partium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17843 100000000: area quam Cometa radio ad Solem ducto $ingulis die-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17844 bus de$cribit, erit partium 1216373 1/4, & $ingulis horis area illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17845 erit partium 50682 1/4. Sin latus rectum majus $it vel minus in ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17846 tione quavis, erit area diurna & horaria major vel minor in ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17847 dem ratione $ubduplicata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17848 <pb n=446>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17849 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17850 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17851 <C>LEMMA V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17852 <C><I>Invenire lineam curvam generis Parabolici, quæ per data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17853 quotcunque puncta tran$ibit.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17854 <p>Sunto puncta illa <I>A, B, C, D, E, F,</I> &c. & ab ii$dem ad rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17855 quamvis po$itione datam <I>HN</I> demitte perpendicula quotcunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17856 <I>AH, BI, CK, DL, EM, FN.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17857 <p><I>Ca$.</I> 1. Si punctorum <I>H, I, K, L, M, N</I> æqualia $unt inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17858 valla <I>HI, IK, KL,</I> &c. collige perpendiculorum <I>AH, BI,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17859 CK,</I> &c. differentias primas <I>b,</I> 2<I>b,</I> 3<I>b,</I> 4<I>b,</I> 5<I>b,</I> &c. $ecundas <I>c,</I> 2<I>c,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17860 3<I>c,</I> 4<I>c,</I> &c. tertias <I>d,</I> 2<I>d,</I> 3<I>d,</I> &c. id e$t, ita ut $it <I>AH-BI=b,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17861 BI-CK=2b, CK-DL=3b, DL+EM=4b,-EM+FN=5b,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17862 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17863 &c. dein <I>b-2b=c,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17864 & $ic pergatur ad diffe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17865 rentiam ultimam quæ hic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17866 e$t <I>f.</I> Deinde erecta qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17867 cunque perpendiculari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17868 <I>RS,</I> quæ fuerit ordina-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17869 tim applicata ad curvam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17870 quæ$itam: ut inveniatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17871 hujus longitudo, pone
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17872 intervalla <I>HI, IK, KL,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17873 LM,</I> &c. unitates e$$e,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17874 & dic <I>AH=a,-HS=p,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17875 1/2p</I> in -<I>IS=q, 1/3q</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17876 +<I>SK=r, 1/4r</I> in +<I>SL=s, 1/5s</I> in +<I>SM=t</I>; pergendo videlicet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17877 ad u$que penultimum perpendiculum <I>ME,</I> & præponendo $igna
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17878 negativa terminis <I>HS, IS,</I> &c. qui jacent ad partes puncti <I>S</I> ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17879 $us <I>A,</I> & $igna affirmativa terminis <I>SK, SL,</I> &c. qui jacent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17880 ad alteras partes puncti <I>S.</I> Et $ignis probe ob$ervatis, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17881 <I>RS=a+bp+cq+dr+es+ft,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17882 <p><I>Ca$.</I> 2. Quod $i punctorum <I>H, I, K, L,</I> &c. inæqualia $int inter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17883 valla <I>HI, IK,</I> &c. collige perpendiculorum <I>AH, BI, CK,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17884 differentias primas per intervalla perpendiculorum divi$as <I>b,</I> 2<I>b,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17885 3<I>b,</I> 4<I>b,</I> 5<I>b</I>; $ecundas per intervalla bina divi$as <I>c,</I> 2<I>c,</I> 3<I>c,</I> 4<I>c,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17886 tertias per intervalla terna divi$as <I>d,</I> 2<I>d,</I> 3<I>d,</I> &c. quartas per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17887 <pb n=447>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17888 intervalla quaterna divi$as <I>e,</I> 2<I>e,</I> &c. & $ic deinceps; id e$t, ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17889 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17890 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17891 ut $it <I>b=(AH-BI/HI), 2b=(BI-CK/IK), 3b=(CK-DL/KL),</I> &c. dein
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17892 <I>c=(b-2b/HK), 2c=(2b-3b/IL), 3c=(3b-4b/KM),</I> &c. Po$tea <I>d=(c-2c/HL),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17893 2d=(2c-3c/IM),</I> &c. Inventis differentiis, dic <I>AH=a, -HS=p,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17894 p</I> in -<I>IS=q, q</I> in +<I>SK=r, r</I> in +<I>SL=s, s</I> in +<I>SM=t</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17895 pergendo $cilicet ad u$que perpendiculum penultimum <I>ME,</I> & erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17896 ordinatim applicata <I>RS=a+bp+cq+dr+es+ft,</I> &c.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17897 <p><I>Corol.</I> Hinc areæ curvarum omnium inveniri po$$unt quampro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17898 xime. Nam $i curvæ cuju$vis quadrandæ inveniantur puncta ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17899 quot, & Parabola per eadem duci intelligatur: erit area Parabolæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17900 hujus eadem quam proxime cum area curvæ illius quadrandæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17901 Pote$t autem Parabola, per Methodos noti$$imas, $emper quadrari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17902 Geometrice.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17903 <C>LEMMA VI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17904 <C><I>Ex ob$ervatis aliquot locis Cometæ invenive locum ejus ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17905 tempus quodvis intermedium datum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17906 <p>De$ignent <I>HI, IK, KL, LM</I> tempora inter ob$ervationes,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17907 <I>(in Fig. præced.) HA, IB, K<*> LD, ME</I> ob$ervatas quinque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17908 longitudines Cometæ, <I>HS</I> tempus datum inter ob$ervationem pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17909 mam & longitudinem quæ$itam. Et $i per puncta <I>A, B, C, D, E</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17910 duci intelligatur curva regularis <I>ABCDE</I>; & per Lemma $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17911 rius inveniatur ejus ordinatim applicata <I>RS,</I> erit <I>RS</I> longitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17912 quæ$ita.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17913 <p>Eadem methodo ex ob$ervatis quinque latitudinibus invenitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17914 latitudo ad tempus datum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17915 <p>Si longitudinum ob$ervatarum parvæ $int differentiæ, puta gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17916 duum tantum 4 vel 5; $uffecerint ob$ervationes tres vel quatuor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17917 ad inveniendam longitudinem & latitudinem novam. Sin majores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17918 $int differentiæ, puta graduum 10 vel 20, debebunt ob$ervationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17919 quinque adhiberi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17920 <pb n=448>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17921 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17922 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17923 <C>LEMMA VII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17924 <p><I>Per datum punctum</I> P <I>ducere rectam lineam</I> BC, <I>cujus partes</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17925 PB, PC, <I>rectis duabus po$itione datis</I> AB, AC <I>ab$ci$$æ, da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17926 tam habeant rationem ad invicem.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17927 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17928 <p>A puncto illo <I>P</I> ad rectarum al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17929 terutram <I>AB</I> ducatur recta quævis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17930 <I>PD,</I> & producatur eadem ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17931 rectam alteram <I>AC</I> u$que ad <I>E,</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17932 $it <I>PE</I> ad <I>PD</I> in data illa ratione.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17933 Ip$i <I>AD</I> parallela $it <I>EC</I>; & $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17934 agatur <I>CPB,</I> erit <I>PC</I> ad <I>PB</I> ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17935 <I>PE</I> ad <I>PD. Q.E.F.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17936 <C>LEMMA VIII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17937 <p><I>Sit</I> ABC <I>Parabola umbilicum habens</I> S. <I>Chorda</I> AC <I>bi$ecta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17938 in</I> I <I>ab$cindatur $egmentum</I> ABCI, <I>cujus diameter $it</I> I <G>m</G> <I>&
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17939 vertex</I> <G>m</G>. <I>In</I> I <G>m</G> <I>producta capiatur</I> <G>m</G> O <I>æqualis dimidio ip$ius</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17940 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17941 I <G>m</G>. <I>Jungatur</I> OS, <I>& producatur ea ad <G>c</G>, ut $it</I> S <G>c</G> <I>æqualis</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17942 2SO. <I>Et $i Cometa</I> B <I>moveatur in arcu</I> CBA, <I>& agatur</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17943 <G>c</G> B <I>$ecans</I> AC <I>in</I> E: <I>dico quod punctum</I> E <I>ab$cindet de chordo</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17944 AC <I>$egmentum</I> AE <I>tempori proportionale quamproxime.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17945 <pb n=449>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17946 <p>Jungatur enim <I>EO</I> $ecans arcum Parabolicum <I>ABC</I> in <I>Y,</I> & aga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17947 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17948 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17949 tur <G>m</G><I>X</I> quæ tangat eundem arcum in vertice <G>m</G> & actæ <I>EO</I> occur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17950 rat in <I>X</I>; & erit area curvilinea <I>AEX<G>m</G>A</I> ad aream curvilineam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17951 <I>ACY<G>m</G>A</I> ut <I>AE</I> ad <I>AC.</I> Ideoque cum triangulum <I>ASE</I> $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17952 ad triangulum <I>ASC</I> in eadem ratione, erit area tota <I>ASEX<G>m</G>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17953 ad aream totam <I>ASCY<G>m</G>A</I> ut <I>AE</I> ad <I>AC.</I> Cum autem <G>c</G><I>O</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17954 $it ad <I>SO</I> ut 3 ad 1, & <I>EO</I> ad <I>XO</I> in eadem ratione, erit <I>SX</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17955 ip$i <I>EB</I> parallela: & propterea $i jungatur <I>BX,</I> erit triangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17956 <I>SEB</I> triangulo <I>XEB</I> æquale. Unde $i ad aream <I>ASEX<G>m</G>A</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17957 addatur triangulum <I>EXB,</I> & de $umma auferatur triangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17958 <I>SEB,</I> manebit area <I>ASBX<G>m</G>A</I> areæ <I>ASEX<G>m</G>A</I> æqualis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17959 atque adeo ad aream <I>ASCY<G>m</G>A</I> ut <I>AE</I> ad <I>AC.</I> Sed areæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17960 <I>ASBX<G>m</G>A</I> æqualis e$t area <I>ASBY<G>m</G>A</I> quamproxime, & hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17961 area <I>ASBY<G>m</G>A</I> e$t ad aream <I>ASCY<G>m</G>A,</I> ut tempus de$cripti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17962 arcus <I>AB</I> ad tempus de$cripti arcus totius <I>AC.</I> Ideoque <I>AE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17963 e$t ad <I>AC</I> in ratione temporum quamproxime. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17964 <p><I>Corol.</I> Ubi punctum <I>B</I> incidit in Parabolæ verticem <G>m</G>, e$t <I>AE</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17965 ad <I>AC</I> in ratione temporum accurate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17966 <C><I>Scholium.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17967 <p>Si jungatur <G>mc</G> $ecans <I>AC</I> in <G>d</G> & in ea capiatur <G>c</G><I>n</I> quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17968 ad <G>m</G><I>B</I> ut 27 <I>MI</I> ad 16 <I>M</I><G>m</G>: acta <I>Bn</I> $ecabit chordam <I>AC</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17969 ratione temporum magis accurate quam prius. Jaceat autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17970 punctum <I>n</I> ultra punctum <G>c</G>, $i punctum <I>B</I> magis di$tat a vertice
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17971 principali Parabolæ quam punctum <G>m</G>; & citra, $i minus di$tat ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17972 eodem vertice.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17973 <C>LEMMA IX.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17974 <p><I>Rectæ</I> I<G>m</G> & <G>m</G>M <I>& longitudo (AIC/4S<G>m</G>) æquantur inter $e.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17975 <p>Nam 4<I>S</I><G>m</G> e$t latus rectum Parabolæ pertinens ad verti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17976 cem <G>m</G>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17977 <pb n=450>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17978 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17979 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17980 <C>LEMMA X.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17981 <p><I>Si producatur</I> S<G>m</G> <I>ad</I> N & P, <I>ut</I> <G>m</G>N <I>$it pars tertia ip$ius</I> <G>m</G>I,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17982 & SP <I>$it ad</I> SN <I>ut</I> SN <I>ad</I> S<G>m</G>. <I>Cometa, quo tempore de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17983 bit arcum</I> A<G>m</G>C, <I>$i progrederetur ea $emper cum velocitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17984 quam habet in altitudine ip$i</I> SP <I>æquali, de$criberet longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17985 nem æqualem chordæ</I> AC.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17986 <p>Nam $i Cometa velccitate quam habet in <G>m</G>, eodem tempore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17987 progrederetur uniformiter in recta quæ Parabolam tangit in <G>m</G>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17988 area quam radio ad punctum <I>S</I> ducto de$criberet, æqualis e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17989 areæ Parabolicæ <I>ASC</I><G>m</G>. Ideoque contentum $ub longitudine in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17990 tangente de$cripta & longitudine <I>S</I><G>m</G>, e$$et ad contentum $ub
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17991 longitudinibus <I>AC</I> & <I>SM,</I> ut area <I>ASC</I><G>m</G> ad triangulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17992 <I>ASCM,</I> id e$t, ut <I>SN</I> ad <I>SM.</I> Quare <I>AC</I> e$t ad longitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17993 nem in tangente de$criptam, ut <I>S</I><G>m</G> ad <I>SN.</I> Cum autem velocitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17994 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17995 Cometæ in altitudine <I>SP</I> $it (per Corol. 6. Prop. XVI. Lib. I.)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17996 ad velocitatem in altitudine <I>S</I><G>m</G>, in $ubduplicata ratione <I>SP</I> ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17997 <I>S</I><G>m</G> inver$e, id e$t, in ratione <I>S</I><G>m</G> ad <I>SN</I>; longitudo hac velo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17998 citate eodem tempore de$cripta, erit ad longitudinem in tangente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	17999 de$criptam, ut <I>S</I><G>m</G> ad <I>SN,</I> Igitur <I>AC</I> & longitudo hac nova ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18000 locitate de$cripta, cum $int ad longitudinem in tangente de$crip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18001 tam in eadem ratione, æquantur inter $e. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18002 <p><I>Corol.</I> Cometa igitur ea cum velocitate, quam habet in altitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18003 <I>S</I><G>m</G>+2/3<I>I</I><G>m</G>, eodem tempore de$criberet chordam <I>AC</I> quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18004 <pb n=451>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18005 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18006 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18007 <C>LEMMA XI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18008 <p><I>Si Cometa motu omni privatus de altitudine</I> SN <I>$eu</I> S<G>m</G>+1/3I<G>m</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18009 <I>demitteretur, ut caderet in Solem, & ea $emper vi uniformiter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18010 continuata urgeretur in Solem, qua urgetur $ub initio; idem $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18011 mi$$e temporis quo in Orbe $uo de$cribat arcum</I> AC, <I>de$cen$u
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18012 $uo de$criberet $patium longitudini</I> I<G>m</G> <I>æquale.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18013 <p>Nam Cometa quo tempore de$cribat arcum Parabolicum <I>AC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18014 eodem tempore ea cum velocitate quam habet in altitudine <I>SP</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18015 (per Lemma novi$$imum) de$cribet chordam <I>AC,</I> adeoque (per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18016 Corol. 7. Prop. XVI. Lib. I.) eodem tempore in Circulo cujus $emi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18017 diameter e$$et <I>SP,</I> vi gravitatis $uæ revolvendo, de$criberet arcum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18018 cujus longitudo e$$et ad arcus Parabolici chordam <I>AC,</I> in $ubdu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18019 plicata ratione unius ad duo. Et propterea eo cum pondere quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18020 habet in Solem in altitudine <I>SP,</I> cadendo de altitudine illa in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18021 Solem, de$criberet $emi$$e temporis illius (per Corol.9. Prop. IV.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18022 Lib. I.) $patium æquale quadrato $emi$$is chordæ illius applicato
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18023 ad quadruplum altitudinis <I>SP,</I> id e$t, $patium (<I>AIq/4SP</I>). Unde cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18024 pondus Cometæ in Solem in altitudine <I>SN,</I> $it ad ip$ius pondus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18025 in Solem in altitudine <I>SP,</I> ut <I>SP</I> ad <I>S</I><G>m</G>: Cometa pondere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18026 quod habet in altitudine <I>SN</I> eodem tempore, in Solem caden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18027 do, de$cribet $patium (<I>AIq/4S<G>m</G></I>), id e$t, $patium longitudini <I>I</I><G>m</G> vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18028 <I>M</I><G>m</G> æquale. <I>Q.E.D.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18029 <C>PROPOSITIO XLI. PROBLEMA XXI.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18030 <C><I>Cometæ in Parabola moti Trajectoriam ex datis tribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18031 Ob$ervationibus determinare.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18032 <p>Problema hocce longe difficillimum multimode aggre$lus, com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18033 po$ui Problemata quædam in Libro primo quæ ad ejus $olutio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18034 nem $pectant. Po$tea $olutionem $equentem paulo $impliciorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18035 excogitavi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18036 <p>Seligantur tres ob$ervationes æqualibus temporum intervallis ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18037 invicem quamproxime di$tantes. Sit autem temporis intervallum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18038 illud ubi Cometa tardius movetur paulo majus altero, ita videlicet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18039 <pb n=452>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18040 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18041 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18042 ut temporum differentia $it ad $ummam temporum, ut $umma tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18043 porum ad dies plus minus $excentos; vel ut punctum <I>E</I> incidat in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18044 punctum <I>M</I> quamproxime, & inde aberret ver$us <I>I</I> potius quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18045 ver$us <I>A.</I> Si tales ob$ervationes non præ$to $int, inveniendus e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18046 novus Cometæ locus per Lemma $extum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18047 <p>De$ignent <I>S</I> Solem, <I>T, t,</I> <G>t</G> tria loca Terræ in Orbe magno,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18048 <I>TA, tB, <G>t</G>C</I> ob$ervatas tres longitudines Cometæ, V tempus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18049 ter ob$ervationem primam & $ecundam, W tempus inter $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18050 dam ac tertiam, X longitudinem quam Cometa toto illo tempore,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18051 ea cum velocitate quam habet in mediocri Telluris à Sole di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18052 tia, de$cribere po$$et, quæque per Corol. 3. Prop. XL, Lib. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18053 invenienda e$t, & <I>tV</I> perpendiculum in chordam <I>T</I><G>t</G>. In longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18054 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18055 tudine media <I>tB</I> $umatur utcunque punctum <I>B</I> pro loco Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18056 metæ in plano Eclipticæ, & inde ver$us Solem <I>S</I> ducatur linea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18057 <I>BE,</I> quæ $it ad $agittam <I>tV,</I> ut contentum $ub <I>SB</I> & <I>St quad.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18058 ad cubum hypotenu$æ trianguli rectanguli, cujus latera $unt <I>SB</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18059 tangens latitudinis Cometæ in ob$ervatione $ecunda ad radium <I>tB.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18060 <pb n=453>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18061 Et per punctum <I>E</I> agatur (per hujus Lem. VII.) recta <I>AEC,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18062 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18063 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18064 cujus partes <I>AE, EC</I> ad rectas <I>TA</I> & <G>t</G><I>C</I> terminatæ, $int ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18065 invicem ut tempora V & W: & erunt <I>A</I> & <I>C</I> loca Cometæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18066 plano Eclipticæ in ob$ervatione prima ac tertia quamproxime, $i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18067 modo <I>B</I> $it locus ejus recte a$$umptus in ob$ervatione $ecunda.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18068 <p>Ad <I>AC</I> bi$ectam in <I>I</I> erige perpendiculum <I>Ii.</I> Per punctum <I>B</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18069 age occultam <I>Bi</I> ip$i <I>AC</I> parallelam. Junge occultam <I>Si</I> $ecan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18070 tem <I>AC</I> in <G>l</G>, & comple parallelogrammum <I>iI</I><G>lm</G>. Cape <I>I</I><G>s</G> æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18071 lem 3<I>I</I><G>l</G>, & per Solem <I>S</I> age occultam <G>sc</G> æqualem 3<I>S</I><G>s</G>+3<I>i</I><G>l</G>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18072 Et deletis jam literis <I>A, E, C, I,</I> a puncto <I>B</I> ver$us punctum <G>c</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18073 duc occultam novam <I>BE,</I> quæ $it ad priorem <I>BE</I> in duplicata
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18074 ratione di$tantiæ <I>BS</I> ad quantitatem <I>S</I><G>m</G>+1/3<I>i</I><G>l</G>. Et per punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18075 <I>E</I> iterum duc rectam <I>AEC</I> eadem lege ac prius, id e$t, ita ut ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18076 partes <I>AE</I> & <I>EC</I> $int ad invicem, ut tempora inter ob$ervationes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18077 V & W. Et erunt <I>A</I> & <I>C</I> loca Cometæ magis accurate.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18078 <p>Ad <I>AC</I> bi$ectam in <I>1</I> erigantur perpendicula <I>AM, CN, IO,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18079 quarum <I>AM</I> & <I>CN</I> $int tangentes latitudinum in ob$ervatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18080 prima ac tertia ad radios <I>TA</I> & <G>t</G><I>C.</I> Jungatur <I>MN</I> $ecans <I>IO</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18081 in <I>O.</I> Con$tituatur rectangulum <I>iI</I><G>lm</G> ut prius. In <I>IA</I> pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18082 ducta capiatur <I>ID</I> æqualis <I>S</I><G>m</G>+2/3<I>i</I><G>l</G>, & agatur occulta <I>OD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18083 Deinde in <I>MN</I> ver$us <I>N</I> capiatur <I>MP,</I> quæ $it ad longitudinem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18084 $upra inventam X, in $ubduplicata ratione mediocris di$tantiæ Tel-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18085 luris a Sole ($eu $emidiametri Orbis magni) ad di$tantiam <I>OD.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18086 Si punctum <I>P</I> incidat in punctum <I>N</I>; erunt <I>A, B, C</I> tria loca Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18087 metæ, per quæ Orbis ejus in plano Eclipticæ de$cribi debet. Sin
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18088 punctum <I>P</I> non incidat in punctum <I>N</I>; in recta <I>AC</I> capiatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18089 <I>CG</I> ip$i <I>NP</I> æqualis, ita ut puncta <I>G</I> & <I>P</I> ad ea$dem partes
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18090 rectæ <I>NC</I> jaceant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18091 <p>Eadem methodo qua puncta <I>E, A, C, G,</I> ex a$$umpto puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18092 <I>B</I> inventa $unt, inveniantur ex a$$umptis utcunque punctis aliis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18093 <I>b</I> & <G>b</G> puncta nova <I>e, a, c, g,</I> & <G>e, a, x, g</G>. Deinde $i per <I>G, g,</I> <G>g</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18094 ducatur circumferentia circuli <I>Gg</I><G>g</G>, $ecans rectam <G>t</G><I>C</I> in <I>Z</I>: erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18095 <I>Z</I> locus Cometæ in plano Eclipticæ. Et $i in <I>AC, ac,</I> <G>ax</G> capi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18096 antur <I>AF, af,</I> <G>af</G> ip$is <I>CG, eg,</I> <G>xg</G> re$pective æquales, & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18097 puncta <I>F, f,</I> <G>f</G> ducatur circumferentia circuli <I>Ff</I><G>f</G>, $ecans rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18098 <I>AT</I> in <I>X;</I> erit punctum <I>X</I> alius Cometæ locus in plano Eclipticæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18099 Ad puncta <I>X</I> & <I>Z</I> erigantur tangentes latitudinum Cometæ ad ra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18100 dios <I>TX</I> & <G>t</G><I>Z</I>; & habebuntur loca duo Cometæ in Orbe proprio.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18101 Denique (per Prop. XIX. Lib. I.) umbilico <I>S,</I> per loca illa duo de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18102 $cribatur Parabola, & hæc erit Trajectoria Cometæ. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18103 <pb n=454>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18104 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18105 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18106 <p>Con$tructionis hujus demon$tratio ex Lemmatibus con$equitur:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18107 quippe cum recta <I>AC</I> $ecetur in <I>E</I> in ratione temporum, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18108 Lemma VII, ut oportet per Lem. VIII: & <I>BE</I> per Lem. XI.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18109 $it pars rectæ <I>BS</I> vel <I>B</I><G>c</G> in plano Eclipticæ arcui <I>ABC</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18110 chordæ <I>AEC</I> interjecta; & <I>MP</I> (per Corol. Lem. X.) longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18111 tudo $it chordæ arcus, quem Cometa in Orbe proprio inter ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18112 $ervationem primam ac tertiam de$cribere debet, ideoque ip$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18113 <I>MN</I> æqualis fuerit, $i modo <I>B</I> $it verus Cometæ locus in plano
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18114 Eclipticæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18115 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18116 <p>Cæterum puncta <I>B, b,</I> <G>b</G> non quælibet, $ed vero proxima eli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18117 gere convenit. Si angulus <I>AQt,</I> in quo ve$tigium Orbis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18118 plano Eclipticæ de$criptum $ecat rectam <I>tB,</I> præterpropter in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18119 note$cat; in angulo illo ducenda erit recta occulta <I>AC,</I> quæ $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18120 ad 4/3<I>T</I><G>t</G> in $ubduplicata ratione <I>SQ</I> ad <I>St.</I> Et agendo rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18121 <I>SEB</I> cujus pars <I>EB</I> æquetur longitudini <I>Vt,</I> determinabitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18122 punctum <I>B</I> quod prima vice u$urpare licet. Tum recta <I>AC</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18123 leta & $ecundum præcedentem con$tructionem iterum ducta, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18124 <pb n=455>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18125 inventa in$uper longitudine <I>MP</I>; in <I>tB</I> capiatur punctum <I>b,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18126 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18127 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18128 ea lege, ut $i <I>TA, <G>t</G>C</I> $e mutuo $ecuerint in <I>Y,</I> $it di$tantia <I>Yb</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18129 ad di$tantiam <I>YB,</I> in ratione compo$ita ex ratione <I>MP</I> ad <I>MN</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18130 & ratione $ubduplicata <I>SB</I> ad <I>Sb.</I> Et eadem methodo inveni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18131 endum erit punctum tertium <G>b</G>, $i modo operationem tertio repe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18132 tere lubet. Sed hac methodo operationes duæ ut plurimum $uf-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18133 fecerint. Nam $i di$tantia <I>Bb</I> perexigua obvenerit; po$tquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18134 inventa $unt puncta <I>F, f</I> & <I>G, g,</I> actæ rectæ <I>Ff</I> & <I>Gg</I> $ecabunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18135 <I>TA</I> & <G>t</G><I>C</I> in punctis quæ$itis <I>X</I> & <I>Z.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18136 <C><I>Exemplum.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18137 <p>Proponatur Cometa anni 1680. Hujus motum a <I>Flam$tedio</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18138 ob$ervatum Tabula $equens exhibet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18139 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18140 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18141 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18142 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18143 <TD COLSPAN="2" ALIGN="CENTER">Tem.appar.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18144 <TD COLSPAN="3" ALIGN="CENTER">Temp. verum</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18145 <TD COLSPAN="3" ALIGN="CENTER">Long. Solis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18146 <TD COLSPAN="3" ALIGN="CENTER">Long. Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18147 <TD COLSPAN="3" ALIGN="CENTER">Lat. Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18148 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18149 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18150 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18151 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18152 <TD ALIGN="RIGHT">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18153 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18154 <TD ALIGN="RIGHT">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18155 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18156 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18157 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18158 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18159 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18160 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18161 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18162 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18163 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18164 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18165 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18166 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18167 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18168 <TD ROWSPAN="6" ALIGN="RIGHT" VALIGN="TOP">1680 <I>Dec.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18169 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18170 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18171 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18172 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18173 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18174 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18175 <TD ALIGN="RIGHT"><FIG> 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18176 <TD ALIGN="RIGHT">51.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18177 <TD ALIGN="RIGHT">23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18178 <TD ALIGN="RIGHT"><FIG> 6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18179 <TD ALIGN="RIGHT">31.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18180 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18181 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18182 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18183 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18184 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18185 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18186 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18187 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18188 <TD ALIGN="RIGHT">32 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18189 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18190 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18191 <TD ALIGN="RIGHT">59</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18192 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18193 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18194 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18195 <TD ALIGN="RIGHT"><FIG> 5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18196 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18197 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18198 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18199 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18200 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18201 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18202 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18203 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18204 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18205 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18206 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18207 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18208 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18209 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18210 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18211 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18212 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18213 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18214 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18215 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18216 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18217 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18218 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18219 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18220 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18221 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18222 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18223 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18224 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18225 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18226 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18227 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18228 <TD ALIGN="RIGHT">22</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18229 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18230 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18231 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18232 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18233 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18234 <TD ALIGN="RIGHT">57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18235 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18236 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18237 <TD ALIGN="RIGHT">29</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18238 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18239 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18240 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18241 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18242 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18243 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18244 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18245 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18246 <TD ALIGN="RIGHT"><FIG> 13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18247 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18248 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18249 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18250 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18251 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18252 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18253 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18254 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18255 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18256 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18257 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18258 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18259 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18260 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18261 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18262 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18263 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18264 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18265 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18266 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18267 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18268 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18269 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18270 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18271 <TD ROWSPAN="6" ALIGN="RIGHT" VALIGN="TOP">1681 <I>Jan.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18272 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18273 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18274 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18275 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18276 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18277 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18278 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18279 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18280 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18281 <TD ALIGN="RIGHT"><FIG> 8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18282 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18283 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18284 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18285 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18286 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18287 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18288 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18289 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18290 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18291 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18292 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18293 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18294 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18295 <TD ALIGN="RIGHT"><FIG> 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18296 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18297 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18298 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18299 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18300 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18301 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18302 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18303 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18304 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18305 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18306 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18307 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18308 <TD ALIGN="RIGHT">54</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18309 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18310 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18311 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18312 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18313 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18314 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18315 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18316 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18317 <TD ALIGN="RIGHT">57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18318 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18319 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18320 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18321 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18322 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18323 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18324 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18325 <TD ALIGN="RIGHT">56</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18326 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18327 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18328 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18329 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18330 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18331 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18332 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18333 <TD ALIGN="RIGHT">59.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18334 <TD ALIGN="RIGHT">34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18335 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18336 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18337 <TD ALIGN="RIGHT">36</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18338 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18339 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18340 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18341 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18342 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18343 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18344 <TD ALIGN="RIGHT">58.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18345 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18346 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18347 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18348 <TD ALIGN="RIGHT">36</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18349 <TD ALIGN="RIGHT"><FIG> 9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18350 <TD ALIGN="RIGHT">35.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18351 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18352 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18353 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18354 <TD ALIGN="RIGHT">54</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18355 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18356 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18357 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18358 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18359 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18360 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18361 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18362 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18363 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18364 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18365 <TD ALIGN="RIGHT">58</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18366 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18367 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18368 <TD ALIGN="RIGHT">36</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18369 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18370 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18371 <TD ALIGN="RIGHT">57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18372 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18373 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18374 <TD ROWSPAN="2" ALIGN="RIGHT" VALIGN="TOP"><I>Feb.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18375 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18376 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18377 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18378 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18379 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18380 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18381 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18382 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18383 <TD ALIGN="RIGHT">59</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18384 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18385 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18386 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18387 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18388 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18389 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18390 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18391 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18392 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18393 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18394 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18395 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18396 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18397 <TD ALIGN="RIGHT">41</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18398 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18399 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18400 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18401 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18402 <TD ALIGN="RIGHT">59.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18403 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18404 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18405 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18406 <TD ALIGN="RIGHT">23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18407 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18408 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18409 <p>His adde Ob$ervationes qua$dam e no$tris.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18410 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18411 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18412 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18413 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18414 <TD COLSPAN="2" ALIGN="CENTER">Temp. appar.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18415 <TD COLSPAN="3" ALIGN="CENTER">Cometæ Longit.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18416 <TD COLSPAN="2" ALIGN="CENTER">Com. Lat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18417 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18418 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18419 <TD ROWSPAN="2" ALIGN="RIGHT" VALIGN="TOP"><I>Febr.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18420 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18421 <TD ALIGN="RIGHT">8<SUP>h</SUP>.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18422 <TD ALIGN="RIGHT">30′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18423 <TD ALIGN="RIGHT"><FIG> 26<SUP>gr.</SUP>.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18424 <TD ALIGN="RIGHT">18′.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18425 <TD ALIGN="RIGHT">17″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18426 <TD ALIGN="RIGHT">12<SUP>gr.</SUP>.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18427 <TD ALIGN="RIGHT">46′ 7/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18428 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18429 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18430 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18431 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18432 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18433 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18434 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18435 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18436 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18437 <TD ALIGN="RIGHT">36 1/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18438 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18439 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18440 <TD ROWSPAN="4" ALIGN="RIGHT" VALIGN="TOP"><I>Mart.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18441 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18442 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18443 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18444 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18445 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18446 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18447 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18448 <TD ALIGN="RIGHT">24 6/7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18449 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18450 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18451 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18452 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18453 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18454 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18455 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18456 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18457 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18458 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18459 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18460 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18461 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18462 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18463 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18464 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18465 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18466 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18467 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18468 <TD ALIGN="RIGHT">3 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18469 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18470 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18471 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18472 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18473 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18474 <TD ALIGN="RIGHT"><FIG> 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18475 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18476 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18477 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18478 <TD ALIGN="RIGHT">45 7/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18479 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18480 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18481 <p>Hæ Ob$ervationes Tele$copio $eptupedali, & Micrometro fili$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18482 que in $oco Tele$copii locatis peractæ $unt: qulbus in$trumentis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18483 <pb n=456>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18484 <MARG>E MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18485 STEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18486 & po$itiones fixarum inter $e & po$itiones Cometæ ad fixas de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18487 terminavimus. De$ignet <I>A</I> $tellam in $ini$tro calcaneo Per$ei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18488 <I>(Bayero o) B</I> $tellam $equentem in $ini$tro pede (<I>Bayero</I> <G>z</G>) &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18489 <I>C, D, E, F, G, H, I, K, L, M, N, O</I> $tellas alias minores in eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18490 dem pede. Sintque <I>P, Q, R, S, T</I> loca Cometæ in ob$ervati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18491 onibus $upra de$criptis: & exi$tente di$tantia <I>AB</I> partium (80 7/12),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18492 erat <I>AC</I> partium 52 1/4, <I>BC</I> 58 5/6, <I>AD</I> (57 5/12), <I>BD</I> (82 6/11), <I>CD</I> 23 2/3,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18493 <I>AE</I> 29 4/7, <I>CE</I> 57 1/2, <I>DE</I> (49 11/12), <I>AI</I> (27 7/12), <I>BI</I> 52 1/6, <I>CI</I> (36 7/12),
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18494 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18495 <I>DI</I> (53 5/11), <I>AK</I> 38 2/3, <I>BK</I> 43, <I>CK</I> 31 5/9, <I>FK</I> 29, <I>FB</I> 23, <I>FC</I> 36 1/4,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18496 <I>AH</I> 18 6/<*>, <I>DH</I> 50 7/8, <I>BN</I> (46 5/12), <I>CN</I> 31 1/3, <I>BL</I> (45 5/12), <I>NL</I> 31 5/7.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18497 <I>HO</I> erat ad <I>HI</I> ut 7 ad 6 & producta tran$ibat inter $tellas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18498 <*> & <I>E,</I> $ic ut di$tantia $tellæ <I>D</I> ab hac recta e$$et 1/6<I>CD. LM</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18499 <*>at ad <I>LB</I> ut 2 ad 9 & producta tran$ibat per $tellam <I>H.</I> His
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18500 interminabantur po$itiones fixarum inter $e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18501 <p>Die Veneris <I>Feb.</I> 25. St. vet. Hor. 8 1/2 P. M. Cometæ in <I>p</I> ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18502 i$tentis di$tantia a $tella <I>E</I> erat minor quam (3/13) <I>AE,</I> major quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18503 3/5 <I>AE,</I> adeoque æqualis (3/14)<I>AE</I> proxime; & angulus <I>ApE</I> non-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18504 nihil obtu$us erat, $ed fere rectus. Nempe $i demitteretur ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18505 <I>pE</I> perpendiculum ab <I>A,</I> di$tantiæ Cometæ a perpendiculo illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18506 erat 1/5<I>pE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18507 <p>Eadem nocte, hora 9 1/2, Cometæ in <I>P</I> exi$tentis di$tantia a $tella
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18508 <I>E</I> erat major quam (1/(4 1/2))<I>AE,</I> minor quam (1/(5 1/4))<I>AE,</I> adeoque æqua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18509 <pb n=457>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18510 lis (1/(4 7/8))<I>AE,</I> $eu (1/39)<I>AE</I> quamproxime. A perpendiculo autem a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18511 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18512 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18513 $tella <I>A</I> ad rectam <I>PE</I> demi$$o, di$tantia Cometæ erat 4/5<I>PE.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18514 <p>Die <FIG><SUP>is</SUP>, <I>Feb.</I> 27. hor. 8 1/4 P.M. Cometæ in <I>Q</I> exi$tentis di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18515 $tantia a $tella <I>O</I> æquabat di$tantiam $tellarum <I>O</I> & <I>H,</I> & recta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18516 <I>QO</I> producta tran$ibat inter $tellas <I>K</I> & <I>B.</I> Po$itionem hujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18517 rectæ ob nubes intervenientes, magis accurate definire non potui.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18518 <p>Die <FIG><SUP>tis</SUP>, <I>Mart</I> 1, hor. 11. P.M. Cometa in <I>R</I> exi$tens, $tellis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18519 <I>K</I> & <I>C</I> accurate interjacebat, & rectæ <I>CRK</I> pars <I>CR</I> paulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18520 major erat quam 1/3<I>CK,</I> & paulo minor quam 1/3<I>CK</I>+1/8<I>CR,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18521 adeoque æqualis 1/3<I>CK</I>+(1/16)<I>CR</I> $eu (16/45)<I>CK.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18522 <p>Die <FIG><SUP>ii</SUP>, <I>Mart.</I> 2. hor. 8. P.M. Cometæ exi$tentis in <I>S,</I> di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18523 $tantia a $tella <I>C</I> erat 4/9<I>FC</I> quamproxime. Di$tantia $tellæ <I>F</I> a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18524 recta <I>CS</I> producta erat (1/24)<I>FC</I>; & di$tantia $tellæ <I>B</I> ab eadem recta,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18525 erat quintuplo major quam di$tantia $tellæ <I>F.</I> Item recta <I>NS</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18526 producta tran$ibat inter $tellas <I>H</I> & <I>I,</I> quintuplo vel $extuplo pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18527 pior exi$tens $tellæ <I>H</I> quam $tellæ <I>I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18528 <p>Die <FIG><SUP>ni</SUP>, <I>Mart.</I> 5. hor. 11 1/2. P. M. Cometa exi$tente in <I>T,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18529 recta <I>MT</I> æqualis erat 1/2<I>ML,</I> & recta <I>LT</I> producta tran$ibat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18530 inter <I>B</I> & <I>F,</I> quadruplo vel quintuplo propior <I>F</I> quam <I>B,</I> au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18531 ferens a <I>BF</I> quintam vel $extam ejus partem ver$us <I>F.</I> Et <I>MT</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18532 producta tran$ibat extra $patium <I>BF</I> ad partes $tellæ <I>B,</I> quadru-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18533 plo propior exi$tens $tellæ <I>B</I> quam $tellæ <I>F.</I> Erat <I>M</I> $tella pere-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18534 xigua quæ per Tele$copium videri vix potuit, & <I>L</I> $tella major
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18535 qua$i magnitudinis octavæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18536 <p>Ex huju$modi ob$ervationibus per con$tructiones figurarum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18537 computationes (po$ito quod $tellarum <I>A</I> & <I>B</I> di$tantia e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18538 2<SUP>gr.</SUP> 6′. 46″, & $tellæ <I>A</I> longitudo <FIG> 26<SUP>gr.</SUP> 41′. 50″ & latitudo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18539 borealis 12<SUP>gr.</SUP> 8′ 1/2, $tellæque <I>B</I> longitudo <FIG> 28<SUP>gr.</SUP> 40′. 24″ & lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18540 tudo borealis 11<SUP>gr.</SUP> (17′ 9/10);) derivabam longitudines & latitudines
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18541 Cometæ. Micrometro parum affabre con$tructo u$us $um, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18542 longitudinum tamen & latitudinum errores (quatenus ab ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18543 $ervationibus no$tris oriantur) dimidium minuti unius primi vix
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18544 $uperant, præterquam in ob$ervatione ultima <I>Mart.</I> 9. ubi po$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18545 tiones $tellarum minus accurate determinare potui. <I>Ca$$inus</I> qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18546 a$cen$ionem rectam Cometæ eodem tempore ob$ervavit, decli-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18547 nationem ejus tanquam invariatam manentem parum diligenter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18548 definivit. Nam Cometa (juxta ob$ervationes no$tras) in fine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18549 <pb n=458>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18550 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18551 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18552 motus $ui notabiliter deflectere c&oelig;pit boream ver$us, a paral-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18553 lelo quem in fine Men$is <I>Februarii</I> tenuerat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18554 <p>Jam ad Orbem Cometæ determinandum; $elegi ex ob$ervatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18555 nibus hactenus de$criptis tres, quas <I>Flam$tedius</I> habuit <I>Dec.</I> 21,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18556 <I>Jan.</I> 5, & <I>Jan.</I> 25. Ex his inveni <I>St</I> partium 9842,1 & <I>Vt</I> par-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18557 tium 455, quales 10000 $unt $emidiameter Orbis magni. Tum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18558 ad operationem primam a$$umendo <I>tB</I> partium 5657, inveni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18559 <I>SB</I> 9747, <I>BE</I> prima vice 412, <I>S</I><G>m</G> 9503, <I>i</I><G>l</G> 413: <I>BE</I> $ecun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18560 da vice 421, <I>OD</I> 10186, X 8528,4, <I>MP</I> 8450, <I>MN</I> 8475,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18561 <I>NP</I> 25. Unde ad operationem $ecundam collegi di$tantiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18562 <I>tb</I> 5640. Et per hanc operationem inveni tandem di$tantias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18563 <I>TX</I> 4775 & <G>t</G><I>Z</I> 11322. Ex quibus Orbem definiendo, inveni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18564 Nodos ejus de$cendentem in <FIG> & a$cendentem in <FIG> 1<SUP>gr.</SUP> 53′;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18565 Inclinationem plani ejus ad planum Eclipticæ 61<SUP>gr.</SUP> 20′ 2/3; verti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18566 cem ejus ($eu Perihelium Cometæ) di$tare a Nodo 8<SUP>gr.</SUP> 38′, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18567 e$$e in <FIG> 27<SUP>gr.</SUP> 43′ cum latitudine au$trali 7<SUP>gr.</SUP> 34′; & ejus latus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18568 rectum e$$e 236,8, areamque radio ad Solem ducto $ingulis diebus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18569 de$criptam 93585, quadrato $emidiametri Orbis magni po$ito
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18570 100000000; Cometam vero in hoc Orbe $ecundum $eriem $igno-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18571 rum proce$$i$$e, & <I>Decemb.</I> 8<SUP>d</SUP>. 0<SUP>h</SUP>. 4′. P. M. in vertice Orbis $eu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18572 Perihelio fui$$e. Hæc omnia per $calam partium æqualium &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18573 chordas angulorum ex Tabula $inuum naturalium collectas, deter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18574 minavi Graphice; con$truendo Schema $atis amplum, in quo vide-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18575 licet $emidiameter Orbis magni (partium 10000) æqualis e$$et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18576 digitis 16 2/3 pedis Anglicani.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18577 <p>Tandem ut con$taret an Cometa in Orbe $ic invento vere mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18578 veretur, collegi per operationes partim Arithmeticas partim Gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18579 phicas, loca Cometæ in hoc Orbe ad ob$ervationum quarundam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18580 tempora: uti in Tabula $equente videre licet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18581 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18582 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18583 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18584 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18585 <TD ALIGN="CENTER">Di$tant.Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18586 metæ a Sole</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18587 <TD COLSPAN="2" ALIGN="CENTER">Long.Collect.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18588 <TD COLSPAN="2" ALIGN="CENTER">Lat. Collect.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18589 <TD COLSPAN="2" ALIGN="CENTER">Long. Ob$.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18590 <TD COLSPAN="2" ALIGN="CENTER">Lat. Ob$.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18591 <TD ALIGN="CENTER">Differ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18592 Long.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18593 <TD ALIGN="CENTER">Differ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18594 Lat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18595 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18596 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18597 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18598 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18599 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18600 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18601 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18602 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18603 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18604 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18605 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18606 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18607 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18608 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18609 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18610 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18611 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18612 <TD ROWSPAN="2" VALIGN="TOP"><I>Dec.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18613 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18614 <TD ALIGN="RIGHT">2792</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18615 <TD ALIGN="RIGHT"><FIG> 6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18616 <TD>32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18617 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18618 <TD>18 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18619 <TD ALIGN="RIGHT"><FIG> 6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18620 <TD>31 1/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18621 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18622 <TD>26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18623 <TD>+ 1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18624 <TD>- 7 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18625 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18626 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18627 <TD ALIGN="RIGHT">29</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18628 <TD ALIGN="RIGHT">8403</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18629 <TD ALIGN="RIGHT"><FIG> 13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18630 <TD>13 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18631 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18632 <TD>0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18633 <TD ALIGN="RIGHT"><FIG> 13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18634 <TD>11 3/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18635 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18636 <TD>(10 1/12)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18637 <TD>+ 2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18638 <TD>-(10 1/12)</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18639 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18640 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18641 <TD><I>Febr.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18642 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18643 <TD ALIGN="RIGHT">16669</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18644 <TD ALIGN="RIGHT"><FIG> 17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18645 <TD>0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18646 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18647 <TD>29 2/3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18648 <TD ALIGN="RIGHT"><FIG> 16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18649 <TD>59 7/8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18650 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18651 <TD>27 2/5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18652 <TD>+ 0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18653 <TD>+ 2 1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18654 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18655 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18656 <TD><I>Mar.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18657 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18658 <TD ALIGN="RIGHT">21737</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18659 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18660 <TD>19 1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18661 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18662 <TD>4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18663 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18664 <TD>20 6/7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18665 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18666 <TD>3 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18667 <TD>- 1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18668 <TD>+ 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18669 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18670 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18671 <p>Po$tea vero <I>Halleius</I> no$ter Orbitam, per calculum Arithmeti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18672 cum, accuratius determinavit quam per de$eriptiones linearum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18673 fieri licuit; & retinuit quidem locum Nodorum in <FIG> & <FIG> 1<SUP>gr.</SUP> 53′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18674 & Inclinationem plani Orbitæ ad Eclipticam 61<SUP>gr.</SUP> 20′ 1/3, ut & tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18675 pus Perihelii Cometæ <I>Decemb.</I> 8<SUP>d</SUP>. O<SUP>h</SUP>. 4′: di$tantiam vero Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18676 <pb n=459>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18677 helii a Nodo a$cendente, in Orbita Cometæ men$uratam, invenit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18678 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18679 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18680 e$$e 9<SUP>gr</SUP> 20′, & Latus rectum Parabolæ e$$e 243 partium, ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18681 i$tente mediocri Solis a Terra di$tantia partium 10000. Et ex his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18682 datis, calculo itidem Arithmetico accurate in$tituto, loca Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18683 ad ob$ervationum tempora computavit, ut $equitur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18684 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18685 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18686 <TD COLSPAN="5" ALIGN="CENTER">Tempus verum</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18687 <TD ALIGN="CENTER">Di$tantia</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18688 <TD COLSPAN="3" ALIGN="CENTER">Long. comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18689 <TD COLSPAN="4" ALIGN="CENTER">Lat. comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18690 <TD COLSPAN="4" ALIGN="CENTER">Errores in</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18691 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18692 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18693 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18694 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18695 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18696 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18697 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18698 <TD ALIGN="CENTER">Cometæ a <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18699 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18700 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18701 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18702 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18703 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18704 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18705 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18706 <TD COLSPAN="2" ALIGN="CENTER">Long.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18707 <TD COLSPAN="2" ALIGN="CENTER">Lat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18708 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18709 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18710 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18711 <TD ALIGN="CENTER">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18712 <TD ALIGN="CENTER">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18713 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18714 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18715 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18716 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18717 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18718 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18719 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18720 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18721 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18722 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18723 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18724 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18725 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18726 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18727 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18728 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18729 <TD ROWSPAN="6" ALIGN="RIGHT" VALIGN="TOP"><I>Dec.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18730 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18731 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18732 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18733 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18734 <TD ALIGN="RIGHT">28028</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18735 <TD ALIGN="RIGHT"><FIG> 6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18736 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18737 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18738 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18739 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18740 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18741 <TD ROWSPAN="16" VALIGN="TOP">Bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18742 <TD ALIGN="RIGHT">-1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18743 <TD ALIGN="RIGHT">56</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18744 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18745 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18746 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18747 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18748 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18749 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18750 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18751 <TD ALIGN="RIGHT">59</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18752 <TD ALIGN="RIGHT">61076</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18753 <TD ALIGN="RIGHT"><FIG> 5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18754 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18755 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18756 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18757 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18758 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18759 <TD ALIGN="RIGHT">-1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18760 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18761 <TD ALIGN="RIGHT">-2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18762 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18763 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18764 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18765 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18766 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18767 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18768 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18769 <TD ALIGN="RIGHT">70008</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18770 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18771 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18772 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18773 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18774 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18775 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18776 <TD ALIGN="RIGHT">-0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18777 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18778 <TD ALIGN="RIGHT">-0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18779 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18780 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18781 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18782 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18783 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18784 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18785 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18786 <TD ALIGN="RIGHT">75576</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18787 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18788 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18789 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18790 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18791 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18792 <TD ALIGN="RIGHT">36</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18793 <TD ALIGN="RIGHT">-1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18794 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18795 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18796 <TD ALIGN="RIGHT">39</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18797 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18798 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18799 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18800 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18801 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18802 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18803 <TD ALIGN="RIGHT">84021</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18804 <TD ALIGN="RIGHT"><FIG> 13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18805 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18806 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18807 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18808 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18809 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18810 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18811 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18812 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18813 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18814 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18815 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18816 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18817 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18818 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18819 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18820 <TD ALIGN="RIGHT">86661</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18821 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18822 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18823 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18824 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18825 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18826 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18827 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18828 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18829 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18830 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18831 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18832 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18833 <TD ROWSPAN="6" ALIGN="RIGHT" VALIGN="TOP"><I>Jan.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18834 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18835 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18836 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18837 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18838 <TD ALIGN="RIGHT">101440</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18839 <TD ALIGN="RIGHT"><FIG> 8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18840 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18841 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18842 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18843 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18844 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18845 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18846 <TD ALIGN="RIGHT">39</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18847 <TD ALIGN="RIGHT">-0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18848 <TD ALIGN="RIGHT">11</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18849 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18850 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18851 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18852 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18853 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18854 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18855 <TD ALIGN="RIGHT">110959</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18856 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18857 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18858 <TD ALIGN="RIGHT">36</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18859 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18860 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18861 <TD ALIGN="RIGHT">54</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18862 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18863 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18864 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18865 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18866 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18867 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18868 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18869 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18870 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18871 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18872 <TD ALIGN="RIGHT">113162</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18873 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18874 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18875 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18876 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18877 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18878 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18879 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18880 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18881 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18882 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18883 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18884 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18885 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18886 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18887 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18888 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18889 <TD ALIGN="RIGHT">120000</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18890 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18891 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18892 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18893 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18894 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18895 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18896 <TD ALIGN="RIGHT">+0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18897 <TD ALIGN="RIGHT">47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18898 <TD ALIGN="RIGHT">-0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18899 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18900 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18901 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18902 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18903 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18904 <TD ALIGN="RIGHT">58.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18905 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18906 <TD ALIGN="RIGHT">145370</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18907 <TD ALIGN="RIGHT"><FIG> 9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18908 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18909 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18910 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18911 <TD ALIGN="RIGHT">57.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18912 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18913 <TD ALIGN="RIGHT">-2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18914 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18915 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18916 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18917 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18918 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18919 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18920 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18921 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18922 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18923 <TD ALIGN="RIGHT">155303</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18924 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18925 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18926 <TD ALIGN="RIGHT">41</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18927 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18928 <TD ALIGN="RIGHT">42.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18929 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18930 <TD ALIGN="RIGHT">-1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18931 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18932 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18933 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18934 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18935 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18936 <TD ROWSPAN="3" ALIGN="RIGHT" VALIGN="TOP"><I>Feb.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18937 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18938 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18939 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18940 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18941 <TD ALIGN="RIGHT">160951</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18942 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18943 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18944 <TD ALIGN="RIGHT">11</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18945 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18946 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18947 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18948 <TD ALIGN="RIGHT">-2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18949 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18950 <TD ALIGN="RIGHT">+2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18951 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18952 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18953 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18954 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18955 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18956 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18957 <TD ALIGN="RIGHT">41</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18958 <TD ALIGN="RIGHT">166686</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18959 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18960 <TD ALIGN="RIGHT">58.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18961 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18962 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18963 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18964 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18965 <TD ALIGN="RIGHT">-1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18966 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18967 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18968 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18969 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18970 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18971 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18972 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18973 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18974 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18975 <TD ALIGN="RIGHT">202570</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18976 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18977 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18978 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18979 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18980 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18981 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18982 <TD ALIGN="RIGHT">-2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18983 <TD ALIGN="RIGHT">31</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18984 <TD ALIGN="RIGHT">+1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18985 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18986 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18987 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18988 <TD ALIGN="RIGHT"><I>Mar.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18989 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18990 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18991 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18992 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18993 <TD ALIGN="RIGHT">216205</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18994 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18995 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18996 <TD ALIGN="RIGHT">35</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18997 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18998 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	18999 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19000 <TD ALIGN="RIGHT">-2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19001 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19002 <TD ALIGN="RIGHT">+2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19003 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19004 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19005 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19006 <p>Apparuit etiam hic Cometa men$e <I>Novembri</I> præcedente, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19007 die undecimo hujus men$is $tylo veteri, ad horam quintam ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19008 tutinam, <I>Cantuariæ</I> in <I>Anglia,</I> vi$us fuit in <FIG> 12 1/2 cum latitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19009 boreali 2<SUP>gr.</SUP> circiter. Cra$$i$$ima fuit hæc <*>$ervatio: meliores $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19010 quæ $equuntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19011 <p><I>Nov.</I> 17, $t. vet. <I>Pontbæus</I> & $ocii hora $exta matutina <I>Romæ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19012 (id e$t, hora 5, 10′ <I>Londini</I>) filis ad fixas applicatis Cometam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19013 ob$ervarunt in <FIG> 8. 30′, cum latitudine au$trali 0<SUP>gr.</SUP> 40′. Extant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19014 eorum Ob$ervationes in tractatu quem <I>Penthæus,</I> de hoc Cometa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19015 in lucem edidit. <I>Cellius</I> qui aderat & ob$ervationes $uas in Epi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19016 $tola ad <I>D. Ca$$inum</I> mi$it, Cometam <*>dem hora vidit in <FIG> 8 <SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19017 30′ cum latitudine au$trali 0<SUP>gr.</SUP> 30′. Eadem hora <I>Galletius</I> etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19018 Cometam vidit in <FIG> 8<SUP>gr.</SUP> $ine latitudine.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19019 <p><I>Nov.</I> 18. hora matutina 6. 30′ <I>Romæ</I> (id e$t, hora 5, 40′ <I>Lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19020 dini) Ponthæus</I> Cometam vidit in <FIG> 13<SUP>gr.</SUP> 30′ cum latitudine au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19021 $trali 1<SUP>gr.</SUP> 20′. <I>Cellius</I> in <FIG> 13<SUP>gr.</SUP> 00′, cum latitudine au$trali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19022 1<SUP>gr.</SUP> 00′. <I>Galletius</I> autem hora matutina 5. 30′ <I>Romæ,</I> Cometam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19023 vidit in <FIG> 13<SUP>gr.</SUP> 00′, cum latitudine au$trali 1<SUP>gr.</SUP> 00′. Et <I>R. P.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19024 Ango</I> in Academia <I>Flexien$i</I> apud <I>Galles,</I> hora quinta matutina
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19025 (id e$t, hora 5, 9′ <I>Londini</I>) Cometam vidit in medio inter $tellas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19026 <pb n=460>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19027 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19028 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19029 duas parvas, quarum una media e$t trium in recta linea in Virgi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19030 nis au$trali manu, & altera e$t extrema alæ. Unde Cometa tunc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19031 fuit in <FIG> 12. 46′, cum latitudine au$trali 50′. Eodem die <I>Bo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19032 $toniæ</I> in <I>Nova-Anglia</I> in Latitudine 42 1/2 graduum, hora quinta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19033 matutina, (id e$t <I>Londini</I> hora matutina 9. 44′) Cometa vi$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19034 e$t prope <FIG> 14, cum latitudine au$trali 1<SUP>gr.</SUP> 30′, uti a <I>Cl. Hal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19035 leio</I> accepi.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19036 <p><I>Nov.</I> 19. hora mat. 4 1/2 <I>Cantabrigiæ,</I> Cometa (ob$ervante ju-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19037 vene quodam) di$tabat a Spica <FIG> qua$i 2<SUP>gr.</SUP> Boreazephyrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19038 ver$us. Eodem die hor. 5. mat. <I>Bo$toniæ</I> in <I>Nova-Anglia,</I> Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19039 meta di$tabat a Spica <FIG> gradu uno, differentia latitudinum ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19040 i$tente 40′. Eodem die in In$ula <I>Jamaica,</I> Cometa di$tabat a Spica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19041 intervallo qua$i gradus unius. Et ex his ob$ervationibus inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19042 collatis colligo, quod hora 9. 44′. <I>Londini,</I> Cometa erat in <FIG> 18 <SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19043 40′, cum latitudine au$trali 1 <SUP>gr.</SUP> 18′ circiter. Eodem die D. <I>Ar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19044 thurus Storer</I> ad fluvium <I>Patuxent,</I> prope <I>Hunting-Creek</I> in <I>Mary-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19045 Land,</I> in confinio <I>Virginiæ</I> in Lat. 38 1/2<SUP>gr.</SUP> hora quinta matutina
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19046 (id e$t, hora 10<SUP>2</SUP> <I>Londini</I>) Cometam vidit $upra Spicam <FIG>, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19047 cum Spica propemodum conjunctum, exi$tente di$tantia inter eo$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19048 dem qua$i 3/4<SUP>gr.</SUP>. Ob$ervator idem, eadem hora diei $equentis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19049 Cometam vidit qua$i 2<SUP>gr.</SUP> inferiorem Spica. Congruent hæ ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19050 $ervationes cum ob$ervationibus in <I>Nova-Anglia</I> & <I>Jamaica</I> factis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19051 $i modo di$tantiæ (pro motu diurno Cometæ) nonnihil augean-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19052 tur, ita ut Cometa die priore $uperior e$$et Spica <FIG>, altitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19053 1 <SUP>gr.</SUP> circiter, ac die po$teriore inferior eadem $tella, altitudine per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19054 pendiculari 3 <SUP>gr.</SUP> 40′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19055 <p><I>Nov.</I> 20. D. <I>Montenarus</I> A$tronomiæ Profe$$or <I>Paduen$is,</I> hora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19056 $exta matutina <I>Venetiis</I> (id e$t, hora 5. 10′ <I>Londini</I>) Cometam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19057 vidit in <FIG> 23 <SUP>gr.</SUP>, cum latitudine au$trali 1 <SUP>gr.</SUP> 30′. Eodem die
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19058 <I>Bo$toniæ,</I> di$tabat Cometa a Spica <FIG>, 4<SUP>gr.</SUP> longitudinis in orien-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19059 tem, adeoque erat in <FIG> 23 <SUP>gr.</SUP> 24′ circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19060 <p><I>Nov.</I> 21. <I>Ponthæus</I> & $ocii hor. mat. 7 1/4 Cometam ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19061 runt in <FIG> 27<SUP>gr.</SUP> 50′, cum latitudine au$trali 1 <SUP>gr.</SUP> 16′; <I>Ango</I> hora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19062 quinta matutina in <FIG> 27<SUP>gr.</SUP> 45′, <I>Montenarus</I> in <FIG> 27<SUP>gr.</SUP> 51′. Eo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19063 dem die in In$ula <I>Jamaica,</I> Cometa vi$us e$t prope principium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19064 Scorpii, eandemque circiter latitudinem habuit cum Spica Virgi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19065 nis, id e$t, 2<SUP>gr.</SUP> 2′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19066 <p><I>Nov.</I> 22. Cometa vi$us e$t a <I>Montenaro</I> in <FIG> 2. 33′. <I>Bo$toniæ</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19067 autem in <I>Nova-Anglia</I> apparuit in <FIG> 3<SUP>gr.</SUP> circiter, eadem fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19068 cum latitudine ac prius, id e$t, 1 <SUP>gr.</SUP> 30′. Eodem die <I>Londini,</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19069 <pb n=461>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19070 hora mat. 6 1/2 <I>Hookius</I> no$ter Cometam vidit in <FIG> 3<SUP>gr.</SUP> 30′ cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19071 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19072 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19073 citer, idque in linea recta quæ tran$it per Spicam Virginis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19074 Cor Leonis, non exacte quidem, $ed a linea illa paululum defle-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19075 ctentem ad boream. <I>Montenarus</I> itidem notavit quod linea a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19076 Cometa per Spicam ducta, hoc die & $equentibus tran$ibat per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19077 au$trale latus Cordis Leonis, interpo$ito perparvo intervallo inter
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19078 Cor Leonis & hanc lineam. Linea recta per Cor Leonis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19079 Spicam Virginis tran$iens, Eclipticam $ecuit in <FIG> 3<SUP>gr.</SUP> 46′, in an-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19080 gulo 2<SUP>gr.</SUP> 51′. Et $i Cometa locatus fui$$et in hac linea in <FIG> 3 <SUP>gr.</SUP>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19081 ejus latitudo fui$$et 2 <SUP>gr</SUP> 26′. Sed cum Cometa con$entientibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19082 <I>Hookio</I> & <I>Montenaro,</I> nonnihil di$taret ab hac linea boream ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19083 $us, latitudo ejus fuit paulo minor. Die 20. ex ob$ervatione <I>Mon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19084 tenari,</I> latitudo ejus propemodum æquabat latitudinem Spicæ <FIG>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19085 eratque 1<SUP>gr.</SUP> 30′ circiter, & con$entientibus <I>Hookio, Montenaro</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19086 <I>Angone</I> perpetuo augebatur, ideoque jam $en$ibiliter major erat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19087 quam 1<SUP>gr.</SUP> 30′. Inter limites autem jam con$titutos 2<SUP>gr.</SUP> 26′ &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19088 1<SUP>gr.</SUP> 30′, magnitudine mediocri latitudo erit 1<SUP>gr.</SUP> 58′ circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19089 Cauda Cometæ, con$entientibus <I>Hookio</I> & <I>Montenaro,</I> dirigebatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19090 ad Spicam <FIG>, declinans aliquantulum a Stella i$ta, juxta <I>Hookium</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19091 in au$trum, juxta <I>Montenarum</I> in boream; ideoque declinatio illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19092 vix fuit $en$ibilis, & Cauda Æquatori fere parallela exi$tens, ali-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19093 quantulum deflectebatur ab oppo$itione Solis boream ver$us.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19094 <p><I>Nov.</I> 24. Ante ortum Solis Cometa vi$us e$t a <I>Montenaro</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19095 in <FIG> 12<SUP>gr.</SUP> 52′, ad boreale latus rectæ quæ per Cor Leonis & Spicam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19096 Virginis ducebatur, ideoque latitudinem habuit paulo minorem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19097 quam 2<SUP>gr.</SUP> 38′. Hæc latitudo uti diximus, ex ob$ervationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19098 <I>Montenari, Angonis</I> & <I>Hookii,</I> perpetuo augebatur; ideoque jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19099 paulo major erat quam 1<SUP>gr.</SUP> 58′; & magnitudine mediocri, ab$que
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19100 notabili errore, $tatui pote$t 2<SUP>gr.</SUP> 18′. Latitudinem <I>Ponthæus</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19101 <I>Galletius</I> jam decrevi$$e volunt, & <I>Cellius</I> & Ob$ervator in <I>Nova-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19102 Anglia</I> eandem fere magnitudinem retinui$$e, $cilicet gradus unius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19103 vel unius cum $emi$$e. Cra$$iores $unt ob$ervationes <I>Ponthæi</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19104 <I>Cellii,</I> eæ præ$ertim quæ per Azimuthes & Altitudines capieban-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19105 tur, ut & eæ <I>Galletii</I>: meliores $unt eæ quæ per po$itiones Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19106 metæ ad fixas a <I>Montenaro, Hookio, Angone</I> & Ob$ervatore in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19107 <I>Nova-Anglia,</I> & nonnunquam a <I>Ponthæo</I> & <I>Cellio</I> $unt factæ.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19108 <p>Jam collatis Ob$ervationibus inter $e, colligere videor quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19109 Cometa hoc men$e circulum fere maximum de$crip$it, $ecantem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19110 Eclipticam in <FIG> 25. 12′, idque in angulo 3<SUP>gr.</SUP> 12′ quamproxime.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19111 Nam & <I>Montenarus</I> Orbitam ab Ecliptica in au$trum, tribus $al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19112 <pb n=462>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19113 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19114 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19115 tem gradibus declina$$e dicit. Et cognita cur$us po$itione, lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19116 gitudines Cometæ ex oblervationibus collectæ, ad incudem jam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19117 revoeari po$$unt & melius nonnunquam determinari, ut $it in $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19118 quentibus. <I>Cellius</I> Novemb. 17. ob$ervavit di$tantiam Cometæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19119 Spica <FIG>, æqualem e$$e di$tantiæ ejus a $tella lucida in dextra ala
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19120 Corvi: & hinc locandus e$t Cometa in inter$ectione hujus circuli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19121 quem Cometa motu apparente de$crip$it, cum circulo maximo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19122 qui a fixis illis duabus æqualiter di$tat, atque adeo in <FIG> 7<SUP>gr.</SUP> 54′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19123 cum latitudine au$trali 43′. Præterea <I>Montenarus, Novemb.</I> 20.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19124 hora $exta matutina <I>Venetiis,</I> Cometam vidit non totis quatuor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19125 gradibus di$tantiam a Spica; dicitque hanc di$tantiam, vix æqua$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19126 di$tantiam $tellarum duarum lucidarum in alis Corvi, vel duarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19127 in juba Leonis, hoc e$t 3<SUP>gr.</SUP> & 30′ vel 32′. Sit igitur di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19128 Cometæ a Spica 3<SUP>gr.</SUP> 30′, & Cometa locabitur in <FIG> 22<SUP>gr.</SUP> 48′, cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19129 latitudine au$trali 1<SUP>gr.</SUP> 30′. Adhæc <I>Montenarus, Novemb.</I> 21, 22,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19130 24 & 25 ante ortum Solis, Sextante æneo quintupedali ad mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19131 nuta prima & $emiminuta divi$o & vitris Tele$copicis armato,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19132 di$tantias men$uravit Cometæ a Spica 8<SUP>gr</SUP> 28′, 13<SUP>gr.</SUP> 10′, 23<SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19133 30′, & 28<SUP>gr.</SUP> 13′: & has di$tantias, per refractionem nondum cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19134 rectas, addendo longitudini Spicæ, collegit Cometam his tempo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19135 ribus fui$$e in <FIG> 27<SUP>gr.</SUP> 51′, <FIG> 2<SUP>gr.</SUP> 33′, <FIG> 12<SUP>gr.</SUP> 52′ & <FIG> 17<SUP>gr.</SUP> 45′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19136 Si di$tantiæ illæ per refractiones corrigantur, & ex di$tantiis cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19137 rectis differentiæ longitudinum inter Spicam & Cometam probe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19138 deriventur, locabitur Cometa his temporibus <*> <FIG> 27<SUP>gr.</SUP> 52′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19139 <FIG> 2<SUP>gr.</SUP> 36′, <FIG> 12<SUP>gr.</SUP> 58′ & <FIG> 17<SUP>gr.</SUP> 53′ circiter. Latitudines au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19140 tem ad has longitudines in via Cometæ captas, prodeunt 1 <SUP>gr.</SUP> 45′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19141 1<SUP>gr.</SUP> 58′, 2<SUP>gr.</SUP> 22′ & 2<SUP>gr.</SUP> 31′. Harum quatuor ob$ervationum ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19142 ras matutinas <I>Montenarus</I> non po$uit. Priores duæ ante ho-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19143 ram $extam, po$teriores (ob viciniam Solis) po$t $extam factæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19144 videntur. Die 22, ubi Cometa ex ob$ervatione <I>Montenari</I> loca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19145 tur in <FIG> 2<SUP>gr.</SUP> 36′, <I>Hookius</I> no$ter eundem locavit in <FIG> 3<SUP>gr.</SUP> 30′
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19146 ut $upra. <I>Montenarus</I> in defectu, <I>Hookius</I> in exce$$u erra$$e viden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19147 tur. Nam Cometa, ex $erie ob$ervationum, jam fuit in <FIG> 3<SUP>gr.</SUP> 56′
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19148 vel <FIG> 3<SUP>gr.</SUP> circiter.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19149 <p>Ob$ervationum $uarum ultimam inter vapores & diluculum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19150 captam, <I>Montenarus</I> $u$pectam habebat. Et <I>Cellius</I> eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19151 pore (id e$t, <I>Novem.</I> 25) Cometam per ejus Altitudinem & Azi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19152 muthum locavit in <FIG> 15<SUP>gr.</SUP> 47′, cum latitudine au$trali qua$i gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19153 dus uni<*> Sed <I>Cellius</I> ob$ervavit etiam eodem tempore, quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19154 Cometa <>t in linea recta cum $tella lucida in dextro $em<>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19155 <pb n=463>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19156 Virginis & cum Lance au$trali Libræ, & hæc linea $ecat viam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19157 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19158 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19159 Cometæ in <FIG> 18<SUP>gr.</SUP> 36′. <I>Ponthæus</I> etiam eodem tempore ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19160 vavit, quod Cometa erat in recta tran$eunte per Chelam au$tri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19161 nam Scorpii & per $tellam quæ Lancem borealem $equitur: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19162 hæc recta $ecat viam Cometæ in <FIG> 16<SUP>gr.</SUP> 3<*>. Ob$ervavit etiam,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19163 quod Cometa erat in recta tran$eunte per $tellam $upra Lancem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19164 au$tralem Libræ & $tellam in principio pedis $ecundi Scorpii: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19165 hæc recta $ecat viam Cometæ in <FIG> 17<SUP>gr.</SUP> 55′. F<*>inter longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19166 dines ex his tribus Ob$ervationibus $ic derivatas, longitudo me-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19167 diocris e$t <FIG> 17<SUP>gr.</SUP> 42′, quæ cum ob$ervatione <I>Montenari</I> $atis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19168 congruit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19169 <p>Erravit igitur <I>Cellius</I> jam locando Cometam in <FIG> 15<SUP>gr.</SUP> 47′,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19170 per ejus Azimuthum & Altitudinem. Et $imilibus Azimuthorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19171 & Altitudinum ob$ervationibus, <I>Cellius</I> & <I>Ponthæus</I> non minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19172 erraverunt locando Cometam in <FIG> 20 & <FIG> 24 diebus duobus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19173 $equentibus, ubi $tellæ fixæ ob diluculum vix aut ne vix quidem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19174 apparuere. Et corrigendæ $unt hæ ob$ervationes per additionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19175 duorum graduum, vel duorum cum $emi$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19176 <p>Ex omnibus autem Ob$ervationibus inter $e collatis & ad meri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19177 dianum <I>Londini</I> reductis, colligo Cometam huju$modi cur$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19178 quamproxime de$crip$i$$e.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19179 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19180 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19181 <TD COLSPAN="4" ALIGN="CENTER">Temp. med. $t. vet.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19182 <TD COLSPAN="2" ALIGN="CENTER">Long. Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19183 <TD COLSPAN="3" ALIGN="CENTER">Lat. Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19184 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19185 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19186 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19187 <TD ALIGN="RIGHT">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19188 <TD ALIGN="RIGHT">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19189 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19190 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19191 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19192 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19193 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19194 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19195 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19196 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19197 <TD ROWSPAN="9" ALIGN="RIGHT" VALIGN="TOP"><I>Nov.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19198 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19199 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19200 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19201 <TD ALIGN="RIGHT"><FIG> 8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19202 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19203 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19204 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19205 <TD ROWSPAN="9" ALIGN="RIGHT" VALIGN="TOP">Au$t.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19206 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19207 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19208 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19209 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19210 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19211 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19212 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19213 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19214 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19215 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19216 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19217 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19218 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19219 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19220 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19221 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19222 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19223 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19224 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19225 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19226 <TD ALIGN="RIGHT">19</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19227 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19228 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19229 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19230 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19231 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19232 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19233 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19234 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19235 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19236 <TD ALIGN="RIGHT">17</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19237 <TD ALIGN="RIGHT">fere</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19238 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19239 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19240 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19241 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19242 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19243 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19244 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19245 <TD ALIGN="RIGHT">17</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19246 <TD ALIGN="RIGHT">fere</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19247 <TD ALIGN="RIGHT"><FIG> 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19248 <TD ALIGN="RIGHT">56</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19249 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19250 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19251 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19252 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19253 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19254 <TD ALIGN="RIGHT">17 1/4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19255 <TD ALIGN="RIGHT">$ere</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19256 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19257 <TD ALIGN="RIGHT">58</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19258 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19259 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19260 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19261 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19262 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19263 <TD ALIGN="RIGHT">17 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19264 <TD ALIGN="RIGHT">$ere</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19265 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19266 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19267 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19268 <TD ALIGN="RIGHT">23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19269 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19270 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19271 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19272 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19273 <TD ALIGN="RIGHT">00</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19274 <TD COLSPAN="2" ALIGN="CENTER">26 vel 27<SUP>gr.</SUP></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19275 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19276 <TD ALIGN="RIGHT">4<*></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19277 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19278 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19279 <p>Loea mi<>ometæ in Orbe Parabolice compu<>ta <*> $e habent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19280 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19281 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19282 <TD COLSPAN="4" ALIGN="CENTER">Temp. verum</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19283 <TD ALIGN="CENTER">Di$t.Com. a <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19284 <TD COLSPAN="3" ALIGN="CENTER">Long. comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19285 <TD COLSPAN="4" ALIGN="CENTER">Lac. comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19286 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19287 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19288 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19289 <TD ALIGN="CENTER">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19290 <TD ALIGN="CENTER">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19291 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19292 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19293 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19294 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19295 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19296 <TD ALIGN="CENTER">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19297 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19298 <TD ALIGN="CENTER">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19299 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19300 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19301 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19302 <TD ROWSPAN="5" ALIGN="RIGHT" VALIGN="TOP"><I>Nov.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19303 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19304 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19305 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19306 <TD ALIGN="CENTER">83920</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19307 <TD ALIGN="RIGHT"><FIG> 8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19308 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19309 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19310 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19311 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19312 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19313 <TD ROWSPAN="6" ALIGN="RIGHT" VALIGN="TOP">Au$t.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19314 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19315 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19316 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19317 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19318 <TD ALIGN="RIGHT">34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19319 <TD ALIGN="CENTER">78020</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19320 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19321 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19322 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19323 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19324 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19325 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19326 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19327 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19328 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19329 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19330 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19331 <TD ALIGN="CENTER">73012</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19332 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19333 <TD ALIGN="RIGHT">59.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19334 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19335 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19336 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19337 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19338 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19339 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19340 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19341 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19342 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19343 <TD ALIGN="CENTER">64206</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19344 <TD ALIGN="RIGHT"><FIG> 13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19345 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19346 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19347 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19348 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19349 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19350 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19351 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19352 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19353 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19354 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19355 <TD ALIGN="CENTER">54<*>99</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19356 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19357 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19358 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19359 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19360 <TD ALIGN="RIGHT">42.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19361 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19362 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19363 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19364 <pb n=464>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19365 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19366 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19367 <p>Congruunt igitur Ob$ervationes A$tronomicæ, tam men$e <I>No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19368 vembri</I> quam men$ibus quatuo<*>entibus, cum motu Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19369 circum Solem in Trajectoria hacce Parabolica, atque adeo unum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19370 & cundem Cometam fui$$e, qui men$e <I>Novembri</I> ad Solem de$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19371 dir, & men$ibus $equentibus ab vodem a$cendit, abunde confir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19372 mant, ut & hunc Cometam in Trajectoria hacce Parabolica dela-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19373 tum fui$$e quamproxime. Men$ibas <I>Decembri, Januario, Fe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19374 bruario</I> & <I>Martio,</I> ubi Ob$ervationes hujus Cometæ $unt $atis ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19375 curatæ, congruunt eædem cum motu ejus in hac Trajectoria, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19376 minus accurate quam ob$ervationes Planetarum congruere $olent
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19377 cum eorum Theoriis. Men$e <I>Novembri,</I> ubi ob$ervationes $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19378 cra$$æ, errores non $unt majores quam qui cra$$itudini ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19379 tionum tribuantur. Trajectoria Cometæ bis $ecuit planum Eclip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19380 ticæ, & propterea non fuit rectilinea. Eclipticam $ecuit non in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19381 oppo$itis c&oelig;li partibus, $ed in fine Virginis & principio Capri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19382 corni, intervallo graduum 98 circiter; ideoque cur$us Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19383 plurimum deflectebatur a Circulo maximo. Nam & men$e <I>No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19384 vembri</I> cur$us ejus tribus $altem gradibus ab Ecliptica in au$trum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19385 declinabat, & po$tea men$e <I>Decembri</I> gradibus 29 vergebat ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19386 Ecliptica in $eptentrionem, partibus duabus Orbitæ in quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19387 Cometa tendebat in Solem & redibat a Cole, angulo apparente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19388 graduum plus triginta ab invicem declinantibus, ut ob$ervavit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19389 <I>Montenarus.</I> Pergebat hic Cometa per $igna fere novem, a Vir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19390 ginis $cilicet duodecimo gradu ad principium Geminorum, præ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19391 ter $ignum Leonis per quod pergebat antequam videri c&oelig;pit: &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19392 nu<>xtat Theoria, qua Cometa tantam C&oelig;li part<>otu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19393 <*> percurrat. Motus ejus fuit maxime inæquabilis. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19394 circa diem vige$imum <I>Novembris,</I> de$crip$it gradus circiter quin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19395 que $ingulis diebus; dein motu retardato inter <I>Novemb.</I> 26 &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19396 <I>Decemb.</I> 12, $patio $cilicet dierum quindecim cum $emi$$e, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19397 $crip$it gradus tantum 40; po$tea vero motu iterum accelerato,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19398 de$crip$it gradus fere quinque $ingulis diebus, antequam motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19399 iterum retardari c&oelig;pir. Et Theoria quæ motui tam inæquabili
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19400 per maximam c&oelig;li partem probe re$pondet, quæque ea$dem ob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19401 $ervat leges cum Theoria Planetarum, & cum accuratis ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19402 tionibus A$tronomicis accurate congruit, non pote$t non e$$e vera.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19403 Cometa tamen $ub finem motus deviabat aliquantulum ab hac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19404 Trajectoria Parabolica ver$us axem Parabolæ, ut ex erroribus mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19405 <*>i unius primi duorumve in latitudinem men$e <I>Februario</I> &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19406 <I><*>io</I> con$pirantibus, colligere videor; & propterea in Orbe El-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19407 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19408 <FIG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19409 <pb n=465>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19410 liptico circum Solem movebatur, $patio annorum plu$quam quin-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19411 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19412 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19413 gentorum, quantum ex erroribus illis judicare licuit, revolutio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19414 nem peragens.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19415 <p>Cæterum Trajectoriam quam Cometa de$crip$it, & Caudam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19416 veram quam $ingulis in locis projecit, vi$um e$t annexo $chemate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19417 in plano Trajectoriæ optice delineatas exhibere: Ob$ervationibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19418 $equentibus in Cauda definienda adhibitis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19419 <p><I>Nov.</I> 17 Cauda gradus amplius quindecim longa <I>Ponthæo</I> ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19420 paruit. <I>Nov.</I> 18 Cauda 30<SUP>gr.</SUP> longa, Solique directe oppo$ita in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19421 <I>Nova-Anglia</I> cernebatur, & protendebatur u$que ad $tellam <FIG>,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19422 quæ tunc erat in <*> 54′. <I>Nov.</I> 19 in <I>Marr-Land</I> cauda vi$a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19423 fuit gradus 15 vel 20 longa. <I>Dec.</I>10 Cauda (ob$ervante <I>Flam$tedio</I>)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19424 tran$ibat per medium di$tantiæ inter caudam $erpentis Ophiuchi &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19425 $tellam <G>d</G> in Aquilæ au$trali ala, & de$inebat prope $tellas <I>A, <G>w</G>, b</I> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19426 Tabulis <I>Bayeri.</I> Terminus igitur erat in <FIG> 19 1/2<SUP>gr.</SUP> cum latitudine
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19427 boreali 34 1/4<SUP>gr.</SUP> circiter. <I>Dec.</I> 11 $urgebat ad u$que caput Sagittæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19428 (<I>Bayero,</I> <G>a, b</G>,) de$inens in <FIG> 26<SUP>gr.</SUP> 43′, cum latitudine boreali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19429 38<SUP>gr.</SUP> 34′. <I>Dec.</I>13 tran$ibat per medium Sagittæ, nec longe ultra
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19430 protendebatur, de$inens in=4<SUP>gr.</SUP>, cum latitudine boreali 42 1/2<SUP>gr.</SUP> circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19431 ter. Intelligenda $unt hæc de longitudine caudæ clarioris. Nam luce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19432 ob$curiore, in c&oelig;lo for$an magis $ereno, cauda <I>Dec.</I> 12, hora 5, 40′
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19433 <I>Romæ</I> (ob$ervante <I>Ponthæo</I>) $upra Cygni Uropygium ad gradus 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19434 $e$e extulit; atque ab hac $tella ejus latus ad occa$um & boream
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19435 min. 45 de$titit. Lata autem erat cauda his diebus gradus 3, juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19436 terminum $uperiorem, ideoque medium ejus di$tabat a Stella illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19437 2<SUP>gr</SUP> 15′ au$trum ver$us, & terminus $uperior erat in <FIG> 22<SUP>gr.</SUP> cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19438 latitudine boreali 61<SUP>gr.</SUP>. <I>Dec.</I> 21 $urgebat fere ad cathedram <I>Ca$$io-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19439 peiæ,</I> æqualiter di$tans a <G>b</G> & <I>Schedir,</I> & di$tantiam ab utraque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19440 di$tantiæ earum ab invicem æqualem habens, adeoque de$inens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19441 in <FIG> 24<SUP>gr.</SUP> cum latitudine 47 1/2<SUP>gr.</SUP>. <I>Dec.</I> 29 tangebat <I>Scheat</I> $itam ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19442 $ini$tram, & intervallum $tellarum duarum in pede boreali <I>Andro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19443 medæ</I> accurate complebat, & longa erat 54<SUP>gr.</SUP> adeoque de$inebat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19444 in 8 19<SUP>gr.</SUP> cum latitudine 35<SUP>gr.</SUP>. <I>Jan.</I> 5 tetigit $tellam <G>p</G> in pectore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19445 <I>Andromedæ,</I> ad latus $uum dextrum, & $tellam <G>m</G> in ejus cingulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19446 ad latus $ini$trum; & (juxta Ob$ervationes no$tras) longa erat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19447 40<SUP>gr.</SUP>; curva autem erat & convexo latere $pectabat ad au$trum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19448 Cum circulo per Solem & caput Cometæ tran$eunte angulum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19449 confecit graduum 4 juxta caput Cometæ; at juxta terminum al-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19450 terum inclinabatur ad circulum illum in angulo 10 vel 11 graduum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19451 & chorda caudæ cum circulo illo continebat angulum graduum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19452 <pb n=466>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19453 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19454 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19455 octo. <I>Jan.</I> 13 Cauda luce $atis $en$ibili terminabatur inter <I>Ala-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19456 mech</I> & <I>Algol,</I> & luce tenui$$ima de$inebat e regione $tellæ <G>x</G> in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19457 latere <I>Per$ei.</I> Di$tantia termini caudæ a circulo Solem & Come-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19458 tam ungente erat 3<SUP>gr.</SUP> 50′, & inclinatio chordæ caudæ ad circu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19459 lum illum 8 1/2<SUP>gr</SUP>. <I>Jan.</I> 25 & 26 luce tenui micabat ad longitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19460 dinem graduum 6 vel 7; & ubi c&oelig;lum valde $erenum erat, luce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19461 tenui$$ima & ægerrime $en$ibili attingebat longitudinem graduum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19462 duodecim & paulo ultra. Dirigebatur autem ejus axis ad Luci-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19463 dam in humero orientali Aurigæ accurate, adeoque declinabat ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19464 oppo$itione Solis boream ver$us in angulo graduum decem. De-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19465 nique <I>Feb.</I> 10 Caudam oculis armatis a$pexi gradus duos lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19466 gam. Nam lux prædicta tenuior per vitra non apparuit. <I>Pon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19467 thæus</I> autem <I>Feb.</I> 7 $e caudam ad longitudinem graduum 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19468 vidi$$e $cribit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19469 <p>Orbem jam de$criptum $pectanti & reliqua Cometæ hujus Phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19470 nomena in animo revolventi, haud difficulter con$tabit quod cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19471 pora Cometarum $unt $olida, compacta, fixa ac durabilia ad in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19472 $tar corporum Planetarum. Nam $i nihil aliud e$$ent quam vapo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19473 res vel exhalationes Terræ, Solis & Planetarum, Cometa hicce in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19474 tran$itu $uo per viciniam Solis $tatim di$$ipari debui$$et. E$t enim
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19475 calor Solis ut radiorum den$itas, hoc e$t, reciproce ut quadratum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19476 di$tantiæ locorum a Sole. Ideoque cum di$tantia Cometæ a cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19477 tro Solis <I>Decemb.</I> 8 ubi in Perihelio ver$abatur, e$$et ad di$tan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19478 tiam Terræ a centro Solis ut 6 ad 1000 circiter, calor Solis apud
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19479 Cometam eo tempore erat ad calorem Solis æ$tivi apud nos ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19480 1000000 ad 36, $eu 28000 ad 1. Sed calor aquæ ebullientis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19481 qua$i triplo major quam calor quem terra arida concipit ad æ$ti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19482 vum Solem, ut expertus $um: & calor ferri candentis ($i recte
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19483 conjector) qua$i triplo vel quadruplo major quam calor aquæ ebul-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19484 lientis; adeoque calor quem terra arida apud Cometam in Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19485 helio ver$antem ex radiis Solaribus concipere po$$et, qua$i 2000
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19486 vicibus major quam calor ferri candentis. Tanto autem calore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19487 vapores & exhalationes, omni$que materia volatilis itatim con$umi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19488 ac di$$ipari debui$$ent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19489 <p>Cometa igitur in Perihelio $uo calorem immen$um ad Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19490 concepit, & calorem illum diuti$$ime con$ervare pote$t. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19491 globus ferri candentis digitum unum latus, calorem $uum omnem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19492 $patio horæ unius in aere con$i$tens vix amitteret. Globus autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19493 major calorem diutius con$ervaret in ratione diametri, propterea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19494 quod $uperficies (ad cujus men$uram per contactum aeris ambi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19495 <pb n=467>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19496 entis refrigeratur) in illa ration minor e$t pro quantitate mate-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19497 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19498 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19499 riæ $uæ calidæ inclu$æ. Ideoque globus ferri candentis huic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19500 Terræ æqualis, id e$t, pedes plus minus 40000000 latus, diebus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19501 totidem, & idcirco annis 50000, vix refrige$ceret. Su$picor ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19502 men quod duratio Caloris, ob cau$as latentes, augeatur in mincre
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19503 ratione quam ea diametri: & optarim rationem veram per experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19504 menta inve$tigari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19505 <p>Porro notandum e$t quod Cometa Men$e <I>Decembri,</I> ubi ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19506 Solem modo incaluerat, caudam emittebat longe majorem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19507 $plendidiorem quam antea Men$e <I>Novembri,</I> ubi Periheliunt non-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19508 dum attigerat. Et univerfaliter caudæ omnes maximæ & fulgen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19509 ti$$imæ e Cometis oriuntur, $tatim po$t tran$itum eorum per regi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19510 onem Solis. Conducit igitur calefactio Cometæ ad magnitudi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19511 nem caudæ. Et inde colligere videor quod cauda nihil aliud fit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19512 quam vapor longe tenui$$imus, quem caput $eu nucleus Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19513 per calorem $uum emittit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19514 <p>Cæterum de Cometarum caudis triplex e$t opinio; eas vel jubar
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19515 e$$e Solis per tran$lucida Cometarum capita propagatum, vel oriri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19516 ex refractione lucis in progre$$u ip$ius a capite Comeræ in Ter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19517 ram, vel denique nubem e$$e $eu vaporem a capite Comeræ jugi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19518 ter $urgentem & abeuntem in partes a Sole aver$as. Opinio pri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19519 ma eorum e$t qui nondum imbuti $unt $cientia rerum Opticarum.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19520 Nam jubar Solis in cubiculo tenebro$o non cernitur, ni$i quatenus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19521 lux reflectitur e pulverum & fumorum particulis per aerem $em-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19522 per volitantibus: adeoque in aere fumis cra$$ioribus infecto $plen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19523 didius e$t, & $en$um fortius ferit; in aere clariore tenuius e$t &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19524 ægrius $entitur: in c&oelig;lis autem ab$que materia refiectente nullum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19525 e$$e pote$t. Lux non cernitur quatenus in jubare e$t, $ed quatenus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19526 inde re$tectitur ad oculos no$tros. Nam vi$io non $it ni$i per radios
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19527 quiin oculos impingunt. Requiritur igitur materia aliqua reflectens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19528 in regione caudæ, ne c&oelig;lum totum luce Solis illu$tratum unifor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19529 miter $plendeat. Opinio $ecunda multis premitur difficultatibus.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19530 Caudæ nunquam variegantur coloribus: qui tamen refractionum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19531 $olent e$$e comites in$eparabiles. Lux Fixarum & Planetarum di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19532 $tincte ad nos tran$mi$$a, demon$trat medium c&oelig;le$tc nulla vi re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19533 fractiva pollere. Nam quod dicitur Fixas ab <I>Ægyptiis</I> comatas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19534 nonnunquam vi$as fui$$e, id quoniam rari$$ime contingit, a$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19535 bendum e$t nubium refractioni fortuitæ. Fixarum quoque radia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19536 tio & $cintillatio ad refractiones tum Oculorum tum Aeris tre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19537 muli referendæ $unt: quippe quæ admotis oculo Tele$copiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19538 <pb n=468>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19539 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19540 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19541 evane$cunt, Aeris & a$cendentium vaporum tremore fit ut radii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19542 facile de angu$to pupillæ $patio per vices detorqueantur, de lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19543 ore autem vitri objectivi apertura neutiquam. Inde e$t quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19544 $cintillatio in priori ca$a generetur, in po$teriore autem ce$$et:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19545 & ce$$atio in po$teriore ca$u demon$trat regularem tran$mi$$ionem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19546 lucis per c&oelig;los ab$que omni refractione $en$ibili. Nequis con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19547 tendat quod caudæ non $oleant videri in Cometis cum eorum lux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19548 non e$t $atis fortis, quia tunc radii $ecunda<*>i non habent $itis vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19549 rium ad oculos movendos, & propterea cau<> Fix<>m non cerni:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19550 $ciendum e$t quod lux Fixarum plus centum vicibus augeri pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19551 mediantibus Tele$copiis, nec tamen caudæ cernuntur Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19552 rum quoque lux copio$ior e$t, caudæ vero nunæ: Comeræ autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19553 $æpe caudati$$imi $unt, ubi capitum lux tenuis e$t & valde obtu$a:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19554 $ic enim Cometa Anni 1680, Men$e <I>Decembri,</I> quo tempore ca-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19555 put luce $ua vix æquabat $tellas $ecundæ magnitudinis, caudam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19556 emittebat $plendore notabili u$que ad gradus 40, 50, 60 longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19557 tudinis & ultra: po$tea <I>Jan.</I> 27 & 28 caput apparebat ut $tella
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19558 $eptimæ tantum magnitudinis, cauda vero luce quidem pertenui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19559 $ed $atis $en$ibili longa erat 6 vel 7 gradus, & luce ob$curi$$ima,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19560 quæ cerni vix po$$et, porrigebatur ad gradum u$que duodecimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19561 vel paulo ultra: ut $upra dictum e$t. Sed & <I>F<G>e</G>b.</I> 9 & 10 ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19562 caput nudis oculis videri de$ierat, caudam gradus duos longam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19563 per Tele$copium contemplatus $um. Porro $i cauda oriretur ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19564 refractione materiæ c&oelig;le$tis, & pro figura c&oelig;lorum deflecteretur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19565 de Solis oppo$itione, deberet deflexio illa in ii$dem c&oelig;li regioni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19566 bus in eandem $emper partem fieri. Atqui Cometa Anni 1680
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19567 <I>Decemb.</I> 28. hora 8 1/2 P.M. <I>Londini,</I> ver$abatur in <FIG> 8<SUP>gr.</SUP> 41′ cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19568 latitudine boreali 28<SUP>gr.</SUP> 6′, Sole exi$tente in <FIG> 18<SUP>gr.</SUP> 26′. Et Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19569 meta Anni 1577, <I>Dec.</I> 29 ver$abatur in <FIG> 8<SUP>gr.</SUP> 41′ cum latitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19570 dine boreali 28<SUP>gr.</SUP> 40′, Sole etiam exi$tente in <FIG> 18<SUP>gr.</SUP> 26′ circi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19571 ter. Utroque in ca$u Terra ver$abatur in eodem loco, & Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19572 meta apparebat in eadem c&oelig;li parte: in priori tamen ca$u cauda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19573 Cometæ (ex meis & aliorum Ob$ervationibus) declinabat angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19574 graduum 4 1/2 ab oppo$itione Solis aquilonem ver$us; in po$te-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19575 riore vero (ex Ob$ervationibus <I>Tychonis</I>) declinatio erat gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19576 duum 21 in au$trum. Igitur repudiata c&oelig;lorum refractione,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19577 $upere$t ut Phænomena Caudarum ex materia aliqua reflectente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19578 deriventur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19579 <p>Caudas autem a capitibus oriri & in regiones a Sole aver$as
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19580 a$cendere con$irmatur ex legibus quas ob$ervant. Ut quod in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19581 <pb n=469>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19582 planis Orbium Cometarum per Solem tran$euntibus jacentes, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19583 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19584 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19585 viant a<*> oppo$itione Solis in eas $emper partes, quas capita in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19586 Orbibus iilis progredientia relinquunt. Quod $pectatori in his
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19587 planis con$tituto apparent in partibus a Sole directe aver$is; di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19588 grediente autem $pe$tatore de his planis, deviatio paulatim $en-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19589 titur, & indies apparet major. Quod deviatio cæteris paribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19590 minor e$t ubi cauda obliquior e$t ad Orbem Cometæ, ut & ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19591 caput Cometæ ad Solem propius accedit; præ$ertim $i $pectetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19592 deviationis angulus juxta caput Cometæ. Præterea quod caudæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19593 non deviantes apparent rectæ, deviantes autem incurvantur. Quod
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19594 curvatura major e$t ubi major e$t deviatio, & magis $en$ibilis ubi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19595 cauda cæteris paribus longior e$t: nam in brevioribus curvatura
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19596 ægre animadvertitur. Quod deviationis angulus minor e$t juxta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19597 caput Cometæ, major juxta caudæ extremitatem alteram, atque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19598 adeo quod cauda convexo $ui latere partes re$picit a quibus $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19599 deviatio, quæque in recta $unt linea a Sole per caput Cometæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19600 infinitum ducta. Et quod caudæ quæ prolixiores $unt & latiores,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19601 & luce vegetiore micant, $int ad latera convexa paulo $plendi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19602 diores & limite minus indi$tincto terminatæ quam ad concava.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19603 Pendent igitur Phænomena caudæ a motu capitis, non autem a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19604 regione c&oelig;li in qua caput con$picitur; & propterca non fiunt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19605 refractionem c&oelig;lorum, $ed a capite $uppeditante materiam ori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19606 untur. Etenim ut in Aere no$tro fumus corporis cuju$vis igniti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19607 petit $uperiora, idque vel perpendiculariter $i corpus quie$cat,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19608 vel oblique $i corpus moveatur in latus: ita in C&oelig;lis ubi corpora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19609 gravitant in Solem, fumi & vapores a$cendere debent à Sole (uti
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19610 jam dictum e$t) & $uperiora vel recta petere, $i corpus fumans
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19611 quie$cit; vel oblique, $i corpus progrediendo loca $emper de$erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19612 a quibus $uperiores vaporis partes a$cenderant. Et obliquitas i$ta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19613 minor erit ubi a$cen$us vaporis velocior e$t: nimirum in vicinia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19614 Solis & juxta corpus fumans. Ex obliquitatis autem diver$itate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19615 incurvabitur vaporis columna: & quia vapor in columnæ latere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19616 præcedente paulo recentior e$t, ideo etiam is ibidem aliquanto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19617 den$ior erit, lucemque propterea copio$ius reflectet, & limite mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19618 nus indi$tincto terminabitur. De Caudarum agitionibus $ubita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19619 neis & incertis, deque earum figuris irregularibus, quas nonnulli
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19620 quandoque de$cribunt hic nihil adjicio; propterea quod vel a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19621 mutationibus Aeris ne$tri, & motibus nubium caudas aliqua ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19622 parte ob$curantium oriantur; vel forte a partibus Viæ Lacteæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19623 quæ cum caudis prætereuntibus confundi po$$int, ac tanquam ea-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19624 rum partes $pectari.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19625 <pb n=470>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19626 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19627 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19628 <p>Vapores autem, qui $patiis tam immen$is implendis $ufficiant,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19629 ex Cometarum Atmo$phæris oriri po$$e, intelligetur ex ratitate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19630 Aeris no$tri. Nam Aer juxta $uperficiem Terræ $patium occupat
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19631 quail 850 partibus majus quam Aqua eju$dem ponderis, ideoque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19632 Aeris columna cylindrica pedes 850 alta, eju$dem e$t ponderis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19633 cum Aquæ columna pedali latitudinis eju$dem. Columna autem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19634 Aeris ad $ummitatem Atmo$phæræ a$$urgens æquat pondere $uo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19635 colurnnam Aquæ pedes 33 altam circiter; & propterea $i colum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19636 næ totius Aereæ pars inferior pedum 850 altitudinis dematur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19637 pars reliqua $uperior æquabit pondere $uo columnam Aquæ altam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19638 pedes 32. <*>nde vero (ex Hypothe$i multis experimentis confir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19639 mata, quod compre$$io Aeris $it ut pondus Atmo$phæræ incum-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19640 bentis, quodque gravitas $it reciproce ut quadratum di$tantiæ lo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19641 corum a centro Terræ) computationem per Corol. Prop. XXII.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19642 Lib. II. ineundo, inveni quod Aer, $i a$cendatur a $uperficie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19643 Terræ ad altitudinem $emidiametri unius terre$tris, rarior $it quam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19644 apud nos in ratione longe majori, quam $patii omnis infra Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19645 bem Saturni ad globum diametro digiti unius de$criptum. Ideo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19646 que globus Aeris no$tri digitum unum latus, ea cum raritate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19647 quam haberet in altitudine $emidiametri unius terre$tris, impleret
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19648 omnes Planetarum regiones ad u$que $phæram Saturni & longe
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19649 ultra. Proinde cum Aer adhuc altior in immen$um rare$cat; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19650 coma $eu Atmo$phæra Cometæ, a$cendendo ab illius centro, qua$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19651 decuplo altior $it quam $uperficies nuclei, deinde cauda adhuc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19652 altius a$cendat, debebit cauda e$$e quam rari$$ima. Et quamvis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19653 ob longe cra$$iorem Cometarum Atmo$phæram, magnamque cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19654 porum gravitationem Solem ver$us, & gravitationem particula-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19655 rum Aeris & vaporum in $e mutuo, fieri po$$it ut Aer in $patiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19656 c&oelig;leftibus inque Cometarum caudis non adeo rare$cat; perexi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19657 guam tamen quantitatem Aeris & vaporum, ad omnia illa cauda-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19658 rum Ph&oelig;nomena abunde $ufficere, ex hac computatione per$pi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19659 cuum e$t. Nam & caudarum in$ignis raritas colligitur ex a$tris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19660 pes eas tran$lucentibus. Atmo$phæra terre$tris luce Solis $plen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19661 dens, cra$$itudine $ua paucorum milliarium, & aftra omnia & ip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19662 $am Lunam ob$curat & extinguit penitus: per immen$am vero
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19663 caudarum cra$$itudinem, luce pariter Solari illu$tratam, a$tra mi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19664 nima ab$que claritatis detrimento tran$lucere no$cuntur. Neque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19665 major e$$e $olet caudarum plurimarum $plendor, quam Aeris no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19666 $tri in tenebro$o cubiculo latitudine digiti unius duorumve, lucem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19667 Solis in jubare reflectentis.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19668 <pb n=471>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19669 <p>Quo temporis $patio vapor a capite ad terminum caudæ a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19670 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19671 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19672 dit, cogno$ci fere pote$t ducendo rectam a termino caudæ ad So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19673 lem, & notando locum ubi recta illa Trajectoriam $ecat. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19674 vapor in termino caudæ, $i recta a$cendat a Sole, a$cendere c&oelig;pit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19675 a capite quo tempore caput erat in loco inter$ectionis. At vapor
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19676 non recta a$cendit à Sole, $ed motum Cometæ, quem aute a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19677 $um $uum habebat, retinendo, & cum motu a$cen$us $ui eundem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19678 componendo, a$cendit oblique. Unde verior erit Problematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19679 $olutio, ut recta illa quæ Orbem $ecat, parallela $it longitudini
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19680 caudæ, vel potius (ob motum curvilineum Cometæ) ut eadem a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19681 linea caudæ divergat. Hoc pacto inveni quod vapor qui erat in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19682 termino caudæ <I>Jan.</I> 25, a$cendere c&oelig;perat a capite ante <I>Dec.</I> 11,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19683 adeoque a$cen$u $uo toto dies plus 45 con$ump$erat. At cauda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19684 illa omnis quæ <I>Dec.</I> 10 apparuit, a$cenderat $patio dicrum illo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19685 rum duorum, qui a tempore Perihelii Cometæ eiap$i fuerant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19686 Vapor igitur $ub initio in vicinia Solis celerrime a$cendebat, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19687 po$tea cum motu per gravitatem $uam $omper retardato a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19688 dere pergebat; & a$cendendo augebat longitudinem caudæ: cauda
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19689 autem quamdiu apparuit ex vapore fere omni con$tabat qui a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19690 tempore Perihelii a$cenderat; & vapor, qui primus a$cendit, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19691 terminum caudæ compo$uit, non prius evanuit quam ob nimiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19692 $uam tam a Sole illu$trante quam ab oculis no$tris di$tantiam vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19693 deri de$iit. Unde etiam caudæ Cometarum aliorum quæ breves
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19694 $unt, non a$cendunt motu celeri & perpetuo a capitibus & mox
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19695 evane$cunt, $ed $unt permanentes vaporum & exhalationum co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19696 lumnæ, a capitibus lenti$$imo multorum dierum motu propagatæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19697 quæ, participando motum illum capitum quem habuere $ub initio,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19698 per c&oelig;los una cum capitibus moveri pergunt. Et hinc rur$us col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19699 ligitur $patia c&oelig;le$tia vi re$i$tendi de$titui; utpote in quibus non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19700 $olum $olida Planetarum & Cometarum corpora, $ed etiam rari$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19701 $imi caudarum vapores motus $uos veloci$$imos liberrime peragunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19702 ac diuti$$ime con$ervant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19703 <p>A$cen$um caudarum ex Atmo$phæris capitum & progre$$um in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19704 partes a Sole aver$as <I>Keplerus</I> a$cribit actioni radiorum lucis ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19705 teriam caudæ $ecum rapientium. Et auram longe tenui$$imam in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19706 $patiis liberrimis actioni radiorum cedere, non e$t a ratione pror-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19707 $us alienum, non ob$tante quod $ub$tantiæ cra$$æ, impediti$$imis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19708 in regionibus no$tris, a radiis Solis $en$ibiliter propelli nequeant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19709 Alius particulas tam leves quam graves dari po$$e exi$timat, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19710 materiam caudarum levitare, perque levitatem $uam a Sole a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19711 <pb n=472>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19712 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19713 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19714 dere. Cum autem gravitas corporum terre$trium $it ut materia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19715 in corporibus, ideoque $ervata quantitate materiæ intendi & re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19716 mitti nequeat, $u$picor a$cen$um illum ex rarefactione materiæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19717 caudarum potius oriri. A$cendit fumus in camino impul$u Aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19718 cui innatat. Aer ille per calorem ra<*>factus a$cendit, ob diminu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19719 tam $uam gravitatem $pecificam, & fumum implicatum rapit $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19720 cum. Quidni cauda Cometæ ad eundem modum a$cenderit a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19721 Sole? Nam radii Solares non agitant Media quæ permeant, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19722 in reflexione & refractione. Particulæ reflectentes ea actione cale-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19723 factæ calefacient auram ætheream cui implicantur. Illa calore $ibi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19724 communicato rarefiet, & ob diminutam ea raritate gravitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19725 $uam $pecificam qua prius tendebat in Solem, a$cendet & $ecum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19726 rapiet particulas reflectentes ex quibus cauda componitur: Ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19727 a$cen$um vaporum conducit etiam quod hi gyrantur circa Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19728 & ea actione conantur a Sole recedere, at Solis Atmo$phæra &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19729 materia c&oelig;lorum vel plane quie$cit, vel motu $olo quem a Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19730 rotatione acceperint, tardius gyratur. Hæ $unt cau$æ a$cen$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19731 caudarum in vicinia Solis, ubi Orbes curviores $unt, & Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19732 intra den$iorem & ea ratione graviorem Solis Atmo$phæram con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19733 $i$tunt, & caudas quam longi$$imas mox emittunt. Nam caudæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19734 quæ tunc na$cuntur, con$ervando motum $uum & interea ver$us
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19735 Solem gravitando, movebuntur circa Solem in Ellip$ibus pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19736 more capitum, & per motum illum capita $emper comitabuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19737 & iis liberrime adhærebunt. Gravitas enim vaporum in Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19738 non magis efficiet ut caudæ po$tea decidant a capitibus Solem ver-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19739 $us, quam gravitas capitum efficere po$$it ut hæc decidant a cau-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19740 dis. Communi gravitate vel $imul in Solem cadunt, vel $imul in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19741 a$cen$u $uo retardabuntur; adeoque gravitas illa non impedit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19742 quo minus caudæ & capita po$itionem quamcunque ad invicem a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19743 cau$is jam de$criptis, aut aliis quibu$cunque, facillime accipiant &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19744 po$tea liberrime $ervent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19745 <p>Caudæ igitur quæ in Cometarum Periheliis na$cuntur, in regi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19746 ones longinquas cum eorum capitibus abibunt, & vel inde po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19747 longam annorum $eriem cum ii$dem ad nos redibunt, vel potius
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19748 ibi rarefactæ paulatim evane$cent. Nam po$tea in de$cen$u capi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19749 tum ad Solem caudæ novæ breviu$culæ lento motu a capitibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19750 propagari debebunt, & $ubinde, in Periheliis Cometarum illorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19751 qui adu$que Atmo$phæram Solis de$cendunt, in immen$um au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19752 geri. Vapor enim in $patiis illis liberrimis perpetuo rare$cit ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19753 dilatatur. Qua ratione fit ut cauda omnis ad extremitatem $upe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19754 <pb n=473>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19755 riorem latior $it quam juxta caput Cometæ. Ea autem rarefacti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19756 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19757 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19758 one vaporem perpetuo dilatatum dif$undi tandem & $pargi per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19759 c&oelig;los univer$os, deinde paulatim in Planetas per gravitatem $uam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19760 attrahi & cum corum Atmo$phæris mi$ceri, rationi con$entaneum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19761 videtur. Nam quemadmodum Maria ad con$titutionem Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19762 hujus omnino requiruntur, idque ut ex iis per calorem Solis va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19763 pores copio$e $atis excitentur, qui vel in nubes coacti decidant
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19764 in pluviis, & terram omnem ad procreationem vegetabilium irri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19765 gent & nutriant; vel in frigidis montium verticibus conden$ati
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19766 (ut aliqui cum ratione philo$ophantur) decurrant in fontes &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19767 flumina $ic ad con$ervationem marium & humorum in Planetis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19768 requiri videntur Cometæ, ex quorum exhalationibus & vapori-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19769 bus conden$atis, quicquid liquoris per vegetationem & putre-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19770 factionem con$umitur & in terram aridam convertitur, continuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19771 $uppleri & refici po$$it. Nam vegetabilia omnia ex liquoribus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19772 omnino cre$cunt, dein magna ex parte in terram aridam per pu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19773 trefactionem ateunt, & limus ex liquoribus putrefactis perpetuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19774 decidit. Hinc moles Terræ aridæ indies augetur, & liquores, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19775 aliunde augmentum $umerent, perpetuo decre$cere deberent, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19776 tandem deficere. Porro $u$picor Spiritum illum, qui Aeris no$tri
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19777 pars minima e$t $ed $ubtili$$ima & optima, & ad rerum omnium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19778 vitam requiritur, ex Cometis præcipue venire.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19779 <p>Atmo$phæræ Cometarum in de$cen$u eorum in Solem, excur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19780 rendo in caudas, diminuuntur, & (ea certe in parte quæ Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19781 re$picit) angu$tiores redduntur: & vici$$im in rece$$u eorum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19782 Sole, ubi jam minus excurrunt in caudas, ampliantur; $i modo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19783 Phænomena eorum <I>Hevelius</I> recte notavit. Minimæ autem ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19784 parent ubi capita jam modo ad Solem calefacta in caudas maximas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19785 & fulgenti$$imas abiere, & nuclei fumo for$an cra$$iore & nigriore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19786 in Atmo$phærarum partibus infimis circundantur. Nam fumus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19787 omnis ingenti calore excitatus, cra$$ior & nigrior e$$e $olet. Sic
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19788 caput Cometæ de quo egimus, in æqualibus a Sole ac Terra di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19789 $tantiis, ob$curius apparuit po$t Perihelium $uum quam antea.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19790 Men$e enim <I>Decembri</I> cum $tellis tertiæ magnitudinis conferri $ole-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19791 bat, at Men$e <I>Novembri</I> cum $tellis primæ & $ecundæ. Et qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19792 utrumque viderant, majorem de$cribunt Cometam priorem. Nam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19793 Juveni cuidam <I>Cantabrigien$i, Novemb.</I> 19, Cometa hicce luce $ua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19794 quantumvis plumbea & obtu$a, æquabat Spicam Virginis, & cla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19795 rius micabat quam po$tea. Et <I>D. Storer</I> literis quæ in manus no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19796 $tras incidere, $crip$it caput ejus Men$e <I>Decembri,</I> ubi caudam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19797 <pb n=474>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19798 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19799 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19800 maximam & fulgenti$$imam emittebat, parvum e$$e & magnitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19801 dine vi$ibili longe cedere Cometæ, qui Men$e <I>Novembri</I> ante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19802 Solis ortum apparuerat. Cujus rei rationem e$$e conjectabatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19803 quod materia capitis $ub initio copio$ior e$$et, & pauiatim con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19804 $umeretur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19805 <p>Eodem $pectare videtur quod capita Cometarum aliorum, qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19806 caudas maximas & fulgenti$$imas emi$erunt, apparuerint $ubob-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19807 $cura & exigua. Nam Anno 1668 <I>Mart.</I> 5. St. nov. hora $eptima
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19808 ve$pertina <I>R. P. Vaientinus E$tancius, Bra$iliæ</I> agens, Cometam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19809 vidit Horizonti proximum ad occa$um Solis brumalem, capite
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19810 minimo & vix con$oicuo, cauda vero $upra modum fulgente, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19811 $tantes in littore $peciem ejus e mari reflexam facile cernerent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19812 Speciem utique habebat trabis $plendentis longitudine 23 gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19813 duum, ab occidente in au$trum vergens, & Horizonti fere para-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19814 lela. Tantus autem $plendor tres $olum dies durabat, $ubinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19815 notabiliter decre$cens; & interea decre$cente $plendore aucta e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19816 magnitudine cauda. Unde etiam in <I>Portugallia</I> quartam fere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19817 c&oelig;li partem (id e$t, gradus 45) occupa$$e dicitur, ab occidente in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19818 orientem $plendore cum in$igni proten$a; nec tamen tota apparuit,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19819 capite $emper in his regionibus infra Horizontem delite$cente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19820 Ex incremento caudæ & decremento $plendoris manife$tum e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19821 quod caput a Sole rece$$it, eique proximum fuit $ub initio, pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19822 more Cometæ anni 1680. Et $imilis legitur Cometa anni 1101
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19823 vel 1106, <I>cujus Steila erat parva & ob$cura</I> (ut ille anni 1680)
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19824 <I>$ed $plendor qui ex ea exivit valde clarus & qua$i ingens trabs ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19825 Orientem & Aquilonem tendebat,</I> ut habet <I>Hevelius</I> ex <I>Simeone
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19826 Dunelmen$i</I> Monacho. Apparuit initio Men$is <I>Februarii,</I> circa ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19827 $peram, ad occa$um Solis brumalem. Inde vero & ex $itu caudæ col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19828 ligitur caput fui$$e Soli vicinum. <I>A Sole,</I> inquit Matthæus Pari-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19829 $ien$is, <I>di$tabat qua$i cubito uno, ab hora tertia</I> [rectius $exta] <I>u$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19830 que ad horam nonam radium ex $e longum emittens.</I> Talis etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19831 erat ardenti$$imus ille Cometa ab <I>Ari$totele</I> de$criptus Lib. l.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19832 Meteor. 6. <I>cujus caput primo die non con$pectum e$t, eo quod ante
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19833 Solem vel $altem $ub radiis $olaribus oceidi$$et, $equente vero die
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19834 quantum potuit vi$um e$t. Nam quam minima fieri pote$t di$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19835 Solem reliquit, & mox occubuit. Ob nimium ardorem</I> [caudæ $cili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19836 cet] <I>nondum apparebat capitis $par$us ignis, $ed procedente tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19837 pore</I> (ait Ari$toreles) <I>cum</I> [cauda] <I>jam minus flagraret, reddita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19838 e$t</I> [capiti] <I>Cometæ $ua facies. Et $plendorem $uum ad tertiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19839 u$que cæli partem</I> [id e$t, ad 60<SUP>gr.</SUP>] <I>extendit. Apparuit autem</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19840 <pb n=475>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19841 <I>tempore hyberno, & a$cendens u$que ad cingulum Orionis ibi evanuit.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19842 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19843 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19844 Cometa ille anni 1618, qui c radiis Solaribus caudati$$imus emer$it,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19845 $tellas primæ magnitudinis æquare vel paulo $uperare videbatur,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19846 $ed majores apparuere Cometæ non pauci qui caudas breviores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19847 habuere. Horum aliqui Jovem, alii Venerem vel etiam Lunam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19848 æqua$$e traduntur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19849 <p>Diximus Cometas e$$e genus Planetarum in Orbibus valde ec-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19850 centricis circa Solem revolventium. Et quemadmodum e Plane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19851 tis non caudatis, minores e$$e $olent qui in Orbibus minoribus &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19852 Soli propioribus gyrantur, $ic etiam Cometas, qui in Perihcliis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19853 $uis ad Solem propius accedunt, ut plurimum minores e$$e, <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19854 Solem attractione $ua nimis agitent, rationi con$entaneum videtur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19855 Orbium vero tran$ver$as diametros & revolutionum tempora
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19856 periodica, ex collatione Cometarum in ii$dem Orbibus po$t longa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19857 temporum intervalla redeuntium, determinanda relinquo. Interea
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19858 huic negotio Propo$itio $equens lumen accendere pote$t.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19859 <C>PROPOSITIO XLII. PROBLEMA XXII.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19860 <C><I>Trajectoriam Cometæ Graphice inventam corrigere.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19861 <p><I>Oper.</I> 1. A$$umatur po$itio plani Trajectoriæ, per Propo$itio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19862 nem $uperiorem Graphice inventa; & $eligantur tria loca Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19863 ob$ervationibus accurati$$imis de$inita, & ab invicem quam ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19864 xime di$tantia; $itque A tempus inter primam & $ecundam, ac
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19865 B tempus inter $ecundam ac tertiam. Cometam autem in eorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19866 aliquo in Perigæo ver$ari convenit, vel $altem non longe a Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19867 gæo abe$$e. Ex his locis apparentibus inveniantur, per opera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19868 tiones Trigonometricas, loca tria vera Cometæ in a$$umpto illo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19869 plano Trajectoriæ. Deinde per loca illa inventa, circa centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19870 Solis ceu umbilicum, per operationes Arithmeticas, ope Prop.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19871 XXI. Lib. I. in$titutas, de$cribatur Sectio Conica<*> & ejus areæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19872 radiis a Sole ad loca inventa ductis terminatæ, $unto D & E;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19873 nempe D area inter ob$ervationem primam & $ecundam, & E
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19874 area inter $ecundam ac tertiam. Sitque T tempus totum quo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19875 area tota D+E, velocitate Cometæ per Prop. XVI. Lib. I. in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19876 venta, ce$cribi debet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19877 <p><I>Oper.</I> 2. Augeatur longitudo Nodorum Plani Trajectoriæ, ad-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19878 ditis ad longitudinem illam 20′ vel 30′, quæ dicantur P; & $er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19879 vetur plani illius inclinatio ad planum Eclipticæ. Dcinde ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19880 <pb n=476>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19881 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19882 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19883 prædictis tribus Cometæ locis ob$ervatis, inveniantur in hoc novo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19884 plano loca tria vera (at $upra:) deinde etiam Orbis per loca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19885 illa tran$iens, & eju$dem areæ duæ inter ob$ervationes de$criptæ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19886 quæ $int <I>d</I> & <I>e,</I> ne<*> non tempus totum <I>t</I> quo area tota <I>d+e</I> de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19887 $cribi debeat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19888 <p><I>Oper.</I> 3. Servetur Longitudo Nodorum in operatione prima, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19889 augeatur inclinatio Plani Trajectoriæ ad planum Eclipticæ, addi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19890 tis ad inclinationem illam 20′ vel 30′, quæ dicantur Q. Deinde
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19891 ex ob$ervatis prædictis tribus Cometæ locis apparentibus, inve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19892 niantur in hoc novo Plano loca tria vera, Orbi$que per loca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19893 illa tran$iens, ut & eju$dem areæ duæ inter ob$ervationes de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19894 $criptæ, quæ $int <G>d</G> & <G>e</G>, & tempus totum <G>t</G> quo area tota <G>d</G>+<G>e</G>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19895 de$cribi debeat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19896 <p>Jam $it C ad <*> ut A ad B, & G ad 1 ut D ad E, & <I>g</I> ad 1 ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19897 <I>d</I> ad <I>e,</I> & <G>g</G> ad 1 ut <G>d</G> ad <G>e</G>; $itque S tempus verum inter ob$erva-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19898 tionem primam <*> tertiam; & $ignis + & - probe ob$ervatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19899 quærantur numeri <I>m</I> & <I>n,</I> ea lege, ut $it 2G-2C=<I>m</I>G-<I>mg+
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19900 n</I>G-<I>n</I><G>g</G>, & 2T-2S æquale <I>m</I>T-<I>mt+n</I>T-<I>n</I><G>t</G>. Et $i, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19901 operatione prima, I de$ignet inclinationem plani Trajectoriæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19902 planum Eclipticæ, & K longitudinem Nodi alterutrius, erit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19903 I+<I>n</I>Q vera inclinatio Plani Trajectoriæ ad Planum Eclipticæ, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19904 K+<I>m</I>P vera longitudo Nodi. Ac denique $i in operatione
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19905 prima, $ecunda ac tertia, quantitates R, <I>r</I> & <G>r</G> de$ignent Latera
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19906 recta Trajectoriæ, & quantitates 1/L, 1/<I>l,</I> 1/<G>l</G> eju$dem Latera tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19907 ver$a re$pective: erit R+<I>mr-m</I>R+<I>n<G>r</G>-n</I>R verum Latus re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19908 ctum, & (1/L+<I>ml-m</I>L+<I>n<G>l</G>-n</I>L) verum Latus tran$ver$um Tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19909 jectoriæ quam Cometa de$cribit. Dato autem Latere tran$ver$o
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19910 datur etiam tempus periodicum Cometæ. <I>Q.E.I.</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19911 <p>Cæterum Cometarum revolventium tempora periodica, & Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19912 bium latera tran$ver$a, haud $atis accurate determinabuntur, ni$i
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19913 per collationem Cometarum inter $e, qui diver$is temporibus ap-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19914 parent. Si plures Cometæ, po$t æqualia temporum intervalla,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19915 eundem Orbem de$crip$i$$e reperiantur, concludendum crit hos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19916 omnes e$$e unum <FIG> eundem Cometam, in eodem Orbe revolven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19917 tem. Et tum demum ex revolutionum temporibus, dabuntur Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19918 bium latera tran$ver$a, & ex his lateribus determinabuntur Or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19919 bes Elliptici.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19920 <pb n=477>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19921 <p>In hunc finem computandæ $unt igitur Cometarum plurium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19922 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19923 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19924 Traiectoriæ, ex hypothe$i quod $int Parabolicæ. Nam huju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19925 modi Trajectoriæ cum Phænomenis $emper congruent quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19926 proxime. Id liquet, non tantum ex Trajectoria Parabolica Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19927 metæ anni 1680, quam cum ob$ervationibus $upra contuli, $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19928 etiam ex ea Cometæ illius in$ignis, qui annis 1664 & 1665 appa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19929 ruit, & ab <I>Hevelio</I> ob$ervatus fuit. Is ex ob$ervationibus $uis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19930 longitudines & latitudines hujus Cometæ computavit, $ed minus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19931 accurate. Ex ii$dem ob$ervationibus, <I>Halleius</I> no$ter loca Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19932 metæ hujus denuo computavit, & tum demum ex locis $ic inven-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19933 tis Trajectoriam Cometæ dererminavit. Invenit autem ejus No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19934 dum a$cendentem in II 21<SUP>gr.</SUP> 13′. 55″, Inclinationem Orbitæ ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19935 planum Eclipticæ 21<SUP>gr.</SUP> 18′. 40″, di$tantiam Perihelii a <>do <>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19936 Orbita 49<SUP>gr.</SUP> 27′. 30″. Perihelium in <FIG> 8<SUP>gr.</SUP> 40′. 30′ cum Lati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19937 tudine au$trina heliocentrica 16<SUP>gr.</SUP> 1′. 45″. Cometam in Perihelio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19938 <I>Novemb.</I> 24<SUP>d</SUP>. 11<SUP>h</SUP>. 52′. P. M. tempore æquato <I>Londini,</I> vel 13<SUP>h</SUP>. 8′
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19939 <I>Gedani,</I> $tylo veteri, & Latus rectum Parabolæ 410286, exi$tente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19940 mediocri Terræ a Sole di$tantia 100000. Quam probe loca
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19941 Cometæ in hoc Orbe computata, congruunt cum ob$ervationibus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19942 patebit ex Tabula $equente ab <I>Halleio</I> $upputata.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19943 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19944 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19945 <TD COLSPAN="3" ALIGN="CENTER">Temp. Appar.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19946 <I>Gedani</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19947 <TD COLSPAN="4" ALIGN="CENTER">Ob$ervata Cometæ di$tantia</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19948 <TD COLSPAN="4" ALIGN="CENTER">Loca ob$ervata</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19949 <TD COLSPAN="4" ALIGN="CENTER">Loca compu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19950 tata in Orbe</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19951 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19952 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19953 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19954 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19955 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19956 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19957 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19958 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19959 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19960 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19961 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19962 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19963 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19964 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19965 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19966 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19967 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19968 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19969 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19970 <TD COLSPAN="3" ALIGN="CENTER"><I>Decemb.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19971 <TD>a Corde Leonis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19972 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19973 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19974 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19975 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19976 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19977 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19978 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19979 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19980 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19981 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19982 <TD ALIGN="RIGHT">29</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19983 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19984 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19985 <TD ALIGN="RIGHT">3d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19986 <TD ALIGN="RIGHT">18<SUP>h</SUP>.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19987 <TD ALIGN="RIGHT">29 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19988 <TD>a Spica Virginis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19989 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19990 <TD ALIGN="RIGHT">52.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19991 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19992 <TD>L<*>au$t.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19993 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19994 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19995 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19996 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19997 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19998 <TD ALIGN="RIGHT">38.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	19999 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20000 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20001 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20002 <TD ROWSPAN="2" ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20003 <TD ROWSPAN="2" ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20004 <TD ROWSPAN="2" ALIGN="RIGHT">1 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20005 <TD>a Corde Leonis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20006 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20007 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20008 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20009 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20010 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20011 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20012 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20013 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20014 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20015 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20016 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20017 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20018 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20019 <TD>a Spica Virginis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20020 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20021 <TD ALIGN="RIGHT">52.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20022 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20023 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20024 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20025 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20026 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20027 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20028 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20029 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20030 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20031 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20032 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20033 <TD ROWSPAN="2" ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20034 <TD ROWSPAN="2" ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20035 <TD ROWSPAN="2" ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20036 <TD>a Corde Leonis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20037 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20038 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20039 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20040 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20041 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20042 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20043 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20044 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20045 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20046 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20047 <TD ALIGN="RIGHT">33</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20048 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20049 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20050 <TD>a Spica Virginis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20051 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20052 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20053 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20054 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20055 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20056 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20057 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20058 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20059 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20060 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20061 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20062 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20063 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20064 <TD ROWSPAN="2" ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20065 <TD ROWSPAN="2" ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20066 <TD ROWSPAN="2" ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20067 <TD>a Corde Leonis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20068 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20069 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20070 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20071 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20072 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20073 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20074 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20075 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20076 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20077 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20078 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20079 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20080 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20081 <TD>ab Humero Orionis dext.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20082 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20083 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20084 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20085 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20086 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20087 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20088 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20089 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20090 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20091 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20092 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20093 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20094 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20095 <TD ROWSPAN="2" ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20096 <TD ROWSPAN="2" ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20097 <TD ROWSPAN="2" ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20098 <TD>a Procyone</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20099 <TD ALIGN="RIGHT">35.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20100 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20101 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20102 <TD>Long. II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20103 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20104 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20105 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20106 <TD>II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20107 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20108 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20109 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20110 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20111 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20112 <TD>a Lucid. Mandio. Geti</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20113 <TD ALIGN="RIGHT">52.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20114 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20115 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20116 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20117 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20118 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20119 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20120 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20121 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20122 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20123 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20124 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20125 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20126 <TD ROWSPAN="2" ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20127 <TD ROWSPAN="2" ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20128 <TD ROWSPAN="2" ALIGN="RIGHT">53 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20129 <TD>a Procyone</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20130 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20131 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20132 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20133 <TD>Long. II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20134 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20135 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20136 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20137 <TD>II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20138 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20139 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20140 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20141 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20142 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20143 <TD>a Lucid. Mandib. Ceti</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20144 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20145 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20146 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20147 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20148 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20149 <TD ALIGN="RIGHT">54.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20150 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20151 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20152 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20153 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20154 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20155 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20156 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20157 <TD ROWSPAN="2" ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20158 <TD ROWSPAN="2" ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20159 <TD ROWSPAN="2" ALIGN="RIGHT">9 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20160 <TD>ab Hum. dext. Orionis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20161 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20162 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20163 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20164 <TD>Long. II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20165 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20166 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20167 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20168 <TD>II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20169 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20170 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20171 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20172 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20173 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20174 <TD>a Lucid. Mandib. Ceti</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20175 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20176 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20177 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20178 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20179 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20180 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20181 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20182 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20183 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20184 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20185 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20186 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20187 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20188 <TD ROWSPAN="2" ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20189 <TD ROWSPAN="2" ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20190 <TD ROWSPAN="2" ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20191 <TD>ab Hum. dext. Orionis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20192 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20193 <TD ALIGN="RIGHT">47.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20194 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20195 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20196 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20197 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20198 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20199 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20200 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20201 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20202 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20203 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20204 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20205 <TD>a Lucid. Mandib. Ceti</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20206 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20207 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20208 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20209 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20210 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20211 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20212 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20213 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20214 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20215 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20216 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20217 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20218 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20219 <TD ROWSPAN="2" ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20220 <TD ROWSPAN="2" ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20221 <TD ROWSPAN="2" ALIGN="RIGHT">58</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20222 <TD>a Lucida Arietis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20223 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20224 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20225 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20226 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20227 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20228 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20229 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20230 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20231 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20232 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20233 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20234 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20235 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20236 <TD>ab Aldebaran</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20237 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20238 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20239 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20240 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20241 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20242 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20243 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20244 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20245 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20246 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20247 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20248 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20249 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20250 <pb n=478>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20251 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20252 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20253 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20254 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20255 <TD COLSPAN="3" ALIGN="CENTER">Temp. Appar.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20256 <I>Gedani</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20257 <TD COLSPAN="4" ALIGN="CENTER">Ob$ervata Cometæ di$tantia</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20258 <TD COLSPAN="4" ALIGN="CENTER">Loca ob$ervata</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20259 <TD COLSPAN="4" ALIGN="CENTER">Loca compu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20260 tata in Orbe.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20261 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20262 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20263 <TD ALIGN="CENTER">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20264 <TD ALIGN="CENTER">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20265 <TD ALIGN="CENTER">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20266 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20267 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20268 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20269 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20270 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20271 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20272 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20273 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20274 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20275 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20276 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20277 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20278 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20279 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20280 <TD ROWSPAN="2" ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20281 <TD ROWSPAN="2" ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20282 <TD ROWSPAN="2">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20283 <TD>a Lucida Arictis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20284 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20285 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20286 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20287 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20288 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20289 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20290 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20291 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20292 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20293 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20294 <TD ALIGN="RIGHT">54</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20295 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20296 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20297 <TD>ab Aldebaran</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20298 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20299 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20300 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20301 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20302 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20303 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20304 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20305 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20306 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20307 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20308 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20309 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20310 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20311 <TD ROWSPAN="2" ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20312 <TD ROWSPAN="2" ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20313 <TD ROWSPAN="2">39</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20314 <TD>a Lucida Arictis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20315 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20316 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20317 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20318 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20319 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20320 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20321 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20322 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20323 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20324 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20325 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20326 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20327 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20328 <TD>a Palilicio</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20329 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20330 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20331 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20332 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20333 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20334 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20335 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20336 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20337 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20338 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20339 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20340 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20341 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20342 <TD ROWSPAN="2" ALIGN="RIGHT">31.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20343 <TD ROWSPAN="2" ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20344 <TD ROWSPAN="2">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20345 <TD>a Cing. Androm.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20346 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20347 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20348 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20349 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20350 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20351 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20352 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20353 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20354 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20355 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20356 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20357 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20358 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20359 <TD>a Palilicio</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20360 <TD ALIGN="RIGHT">32.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20361 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20362 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20363 <TD>Lat. a.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20364 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20365 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20366 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20367 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20368 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20369 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20370 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20371 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20372 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20373 <TD COLSPAN="3" ALIGN="CENTER"><I>Jan.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20374 <TD>a Cing. Androm.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20375 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20376 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20377 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20378 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20379 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20380 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20381 <TD ALIGN="RIGHT">47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20382 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20383 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20384 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20385 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20386 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20387 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20388 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20389 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20390 <TD>37 1/2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20391 <TD>a Palilicio</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20392 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20393 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20394 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20395 <TD>Lat. bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20396 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20397 <TD ALIGN="RIGHT">54.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20398 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20399 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20400 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20401 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20402 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20403 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20404 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20405 <TD ROWSPAN="2" ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20406 <TD ROWSPAN="2" ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20407 <TD ROWSPAN="2">29</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20408 <TD>a Palilicio</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20409 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20410 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20411 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20412 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20413 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20414 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20415 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20416 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20417 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20418 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20419 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20420 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20421 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20422 <TD>a Cing. Androm.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20423 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20424 <TD ALIGN="RIGHT">32.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20425 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20426 <TD>Lat. bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20427 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20428 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20429 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20430 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20431 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20432 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20433 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20434 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20435 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20436 <TD COLSPAN="3" ALIGN="CENTER"><I>Mar.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20437 <TD COLSPAN="4">Cometa ab <I>Hookio</I> prope $ecundam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20438 Arictis ob$ervabatur, <I>Mar.</I> 1<SUP>d.</SUP> 7<SUP>h.</SUP> 0′
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20439 <I>Loudini,</I> cum</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20440 <TD>Long. <FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20441 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20442 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20443 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20444 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20445 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20446 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20447 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20448 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20449 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20450 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20451 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20452 <TD>6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20453 <TD>Lat. bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20454 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20455 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20456 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20457 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20458 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20459 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20460 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20461 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20462 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20463 <p>Apparuit hic Cometa per men$es tres, $ignaque fere $ex de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20464 $crip$it, & uno die gradus fere viginti confecit. Cur$us ejus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20465 a circulo maximo plurimum deflexit, in boream incurvatus; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20466 motus ejus $ub finem ex retrogrado factus e$t directus. Et non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20467 ob$tante cur$u tam in$olito, Theoria a principio ad finem cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20468 ob$ervationibus non minus accurate congruit, quam Theoriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20469 Planetarum cum eorum ob$ervationibus congruere $olent, ut in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20470 $picienti Tabulam patebit. Subducenda tamen $unt minuta duo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20471 prima circiter, ubi Cometa veloci$$imus fuit; id quod fiet au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20472 ferendo duodecim minuta $ecunda. prima ab angulo inter Nodum a$cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20473 dentem & Perihelium, $eu con$tituendo angulum illum 49<SUP>gr.</SUP>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20474 27′. 18″. Cometæ utriu$que (& hujus & $uperioris) parallaxis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20475 annua in$ignis fuit, & inde demon$tratur motus annuus Terræ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20476 Orbe magno.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20477 <p>Confirmatur etiam Theoria per motum Cometæ qui apparuit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20478 anno 1683. Hic fuit retrogradus in Orbe cujus planum cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20479 plano Eclipticæ angulum fere rectum continebat. Hujus Nodus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20480 a$cendens (computante <I>Halleio</I>) erat in <FIG> 23<SUP>gr</SUP> 23′; Inclinatio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20481 Orbitæ ad Eclipticam 83<SUP>gr.</SUP> 11′; Perihelium in II 25<SUP>gr.</SUP> 29′. 30″;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20482 Di$tantia perihelia a Sole 56020, exi$tente radio Orbis magni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20483 100000, & tempore Perihelii <I>Julii</I> 2<SUP>d</SUP>. 3<SUP>h</SUP>. 50′. Loca autem Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20484 metæ in hoc Orbe ab <I>Halleio</I> computata, & cum locis a <I>Flam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20485 $tedio</I> ob$ervatis collata, exhibentur in Tabula $equente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20486 <pb n=479>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20487 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20488 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20489 <TD COLSPAN="4" ALIGN="CENTER">1683</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20490 <TD COLSPAN="4" ALIGN="CENTER">Locus Solis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20491 <TD COLSPAN="4" ALIGN="CENTER">Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20492 <TD COLSPAN="3" ALIGN="CENTER">Lat. Bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20493 <TD COLSPAN="4" ALIGN="CENTER">Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20494 <TD COLSPAN="3" ALIGN="CENTER">Lat. Bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20495 <TD COLSPAN="2" ALIGN="CENTER">Differ.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20496 <TD COLSPAN="2" ALIGN="CENTER">Differ.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20497 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20498 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20499 <TD COLSPAN="4" ALIGN="CENTER">Temp. Æquat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20500 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20501 <TD COLSPAN="4" ALIGN="CENTER">Long. Comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20502 <TD COLSPAN="3" ALIGN="CENTER">Comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20503 <TD COLSPAN="4" ALIGN="CENTER">Long. Ob$.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20504 <TD COLSPAN="3" ALIGN="CENTER">Ob$er.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20505 <TD COLSPAN="2" ALIGN="CENTER">Long.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20506 <TD COLSPAN="2" ALIGN="CENTER">Lat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20507 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20508 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20509 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20510 <TD ALIGN="RIGHT">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20511 <TD ALIGN="RIGHT">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20512 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20513 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20514 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20515 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20516 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20517 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20518 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20519 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20520 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20521 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20522 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20523 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20524 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20525 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20526 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20527 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20528 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20529 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20530 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20531 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20532 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20533 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20534 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20535 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20536 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20537 <TD ROWSPAN="7" VALIGN="TOP"><I>Jul.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20538 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20539 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20540 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20541 <TD ROWSPAN="11" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20542 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20543 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20544 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20545 <TD ROWSPAN="5" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20546 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20547 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20548 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20549 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20550 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20551 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20552 <TD ROWSPAN="5" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20553 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20554 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20555 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20556 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20557 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20558 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20559 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20560 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20561 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20562 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20563 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20564 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20565 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20566 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20567 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20568 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20569 <TD ALIGN="RIGHT">53.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20570 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20571 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20572 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20573 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20574 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20575 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20576 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20577 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20578 <TD ALIGN="RIGHT">39.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20579 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20580 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20581 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20582 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20583 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20584 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20585 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20586 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20587 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20588 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20589 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20590 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20591 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20592 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20593 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20594 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20595 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20596 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20597 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20598 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20599 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20600 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20601 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20602 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20603 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20604 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20605 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20606 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20607 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20608 <TD ALIGN="RIGHT">34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20609 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20610 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20611 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20612 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20613 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20614 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20615 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20616 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20617 <TD ALIGN="RIGHT">38.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20618 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20619 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20620 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20621 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20622 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20623 <TD ALIGN="RIGHT">51.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20624 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20625 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20626 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20627 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20628 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20629 <TD ALIGN="RIGHT">50.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20630 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20631 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20632 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20633 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20634 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20635 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20636 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20637 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20638 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20639 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20640 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20641 <TD ALIGN="RIGHT">35.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20642 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20643 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20644 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20645 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20646 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20647 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20648 <TD ALIGN="RIGHT">47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20649 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20650 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20651 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20652 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20653 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20654 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20655 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20656 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20657 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20658 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20659 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20660 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20661 <TD ALIGN="RIGHT">31.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20662 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20663 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20664 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20665 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20666 <TD ALIGN="RIGHT">22</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20667 <TD ROWSPAN="8" VALIGN="TOP">II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20668 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20669 <TD ALIGN="RIGHT">55.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20670 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20671 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20672 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20673 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20674 <TD ROWSPAN="8" VALIGN="TOP">II</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20675 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20676 <TD ALIGN="RIGHT">54.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20677 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20678 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20679 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20680 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20681 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20682 <TD ALIGN="RIGHT">39</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20683 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20684 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20685 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20686 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20687 <TD ALIGN="RIGHT">31.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20688 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20689 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20690 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20691 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20692 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20693 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20694 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20695 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20696 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20697 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20698 <TD ALIGN="RIGHT">57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20699 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20700 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20701 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20702 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20703 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20704 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20705 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20706 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20707 <TD ALIGN="RIGHT">- 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20708 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20709 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20710 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20711 <TD ROWSPAN="11" VALIGN="TOP"><I>Aug.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20712 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20713 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20714 <TD ALIGN="RIGHT">56</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20715 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20716 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20717 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20718 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20719 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20720 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20721 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20722 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20723 <TD ALIGN="RIGHT">19</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20724 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20725 <TD ALIGN="RIGHT">28.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20726 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20727 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20728 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20729 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20730 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20731 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20732 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20733 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20734 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20735 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20736 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20737 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20738 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20739 <TD ALIGN="RIGHT">2<*>.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20740 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20741 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20742 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20743 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20744 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20745 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20746 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20747 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20748 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20749 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20750 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20751 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20752 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20753 <TD ALIGN="RIGHT">19</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20754 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20755 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20756 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20757 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20758 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20759 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20760 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20761 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20762 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20763 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20764 <TD ALIGN="RIGHT">56.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20765 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20766 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20767 <TD ALIGN="RIGHT">42.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20768 <TD ALIGN="RIGHT">23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20769 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20770 <TD ALIGN="RIGHT">47.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20771 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20772 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20773 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20774 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20775 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20776 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20777 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20778 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20779 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20780 <TD ALIGN="RIGHT">+ 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20781 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20782 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20783 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20784 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20785 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20786 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20787 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20788 <TD ALIGN="RIGHT">50.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20789 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20790 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20791 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20792 <TD ALIGN="RIGHT">57</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20793 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20794 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20795 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20796 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20797 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20798 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20799 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20800 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20801 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20802 <TD ALIGN="RIGHT">- 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20803 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20804 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20805 <TD ALIGN="RIGHT">27</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20806 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20807 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20808 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20809 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20810 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20811 <TD ROWSPAN="7" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20812 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20813 <TD ALIGN="RIGHT">47.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20814 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20815 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20816 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20817 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20818 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20819 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20820 <TD ALIGN="RIGHT">33</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20821 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20822 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20823 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20824 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20825 <TD ALIGN="RIGHT">32.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20826 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20827 <TD ALIGN="RIGHT">- 4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20828 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20829 <TD ALIGN="RIGHT">- 5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20830 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20831 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20832 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20833 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20834 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20835 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20836 <TD ALIGN="RIGHT">3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20837 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20838 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20839 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20840 <TD ALIGN="RIGHT">43.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20841 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20842 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20843 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20844 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20845 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20846 <TD ALIGN="RIGHT">41.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20847 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20848 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20849 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20850 <TD ALIGN="RIGHT">13</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20851 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20852 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20853 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20854 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20855 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20856 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20857 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20858 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20859 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20860 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20861 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20862 <TD ALIGN="RIGHT">33</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20863 <TD ROWSPAN="4" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20864 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20865 <TD ALIGN="RIGHT">52.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20866 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20867 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20868 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20869 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20870 <TD ROWSPAN="4" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20871 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20872 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20873 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20874 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20875 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20876 <TD ALIGN="RIGHT">11</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20877 <TD ALIGN="RIGHT">- 3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20878 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20879 <TD ALIGN="RIGHT">- 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20880 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20881 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20882 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20883 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20884 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20885 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20886 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20887 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20888 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20889 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20890 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20891 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20892 <TD COLSPAN="3" ALIGN="CENTER">Au$tr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20893 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20894 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20895 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20896 <TD COLSPAN="3" ALIGN="CENTER">Au$tr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20897 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20898 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20899 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20900 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20901 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20902 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20903 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20904 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20905 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20906 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20907 <TD ALIGN="RIGHT">35.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20908 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20909 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20910 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20911 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20912 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20913 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20914 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20915 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20916 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20917 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20918 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20919 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20920 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20921 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20922 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20923 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20924 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20925 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20926 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20927 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20928 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20929 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20930 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20931 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20932 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20933 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20934 <TD ALIGN="RIGHT">2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20935 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20936 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20937 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20938 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20939 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20940 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20941 <TD ALIGN="RIGHT">17</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20942 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20943 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20944 <TD ALIGN="RIGHT">41</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20945 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20946 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20947 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20948 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20949 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20950 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20951 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20952 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20953 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20954 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20955 <TD ALIGN="RIGHT">31.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20956 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20957 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20958 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20959 <TD ALIGN="RIGHT">45.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20960 <TD ALIGN="RIGHT">31</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20961 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20962 <TD ALIGN="RIGHT">38.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20963 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20964 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20965 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20966 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20967 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20968 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20969 <TD ALIGN="RIGHT">38.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20970 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20971 <TD ALIGN="RIGHT">- 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20972 <TD ALIGN="RIGHT">31</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20973 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20974 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20975 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20976 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20977 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20978 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20979 <p>Confirmatur etiam Theoria per motum Cometæ retrogradi qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20980 apparuit anno 1682. Hujus Nodus a$cendens (computante <I>Hal-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20981 leio</I>) erat in 8 21<SUP>gr.</SUP> 16′. 30″. Inclinatio Orbitæ ad planum Eclip-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20982 t<*>cæ 17<SUP>gr.</SUP> 56′. 0″. Perihelium in = 2<SUP>gr.</SUP> 52′. 50″. Di$tantia peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20983 helia a Sole 58328. Et tempus æquatum Perihelii <I>Sept.</I> 4<SUP>d</SUP>. 7<SUP>h</SUP>. 39′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20984 Loca vero ex ob$ervationibus <I>Flam$tedii</I> computata, & cum locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20985 per Theoriam computatis collata, exhibentur in Tabula $e-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20986 quente.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20987 <TABLE BORDER>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20988 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20989 <TD COLSPAN="4" ALIGN="CENTER">1682</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20990 <TD COLSPAN="4" ALIGN="CENTER">Locus Solis</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20991 <TD COLSPAN="4" ALIGN="CENTER">Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20992 <TD COLSPAN="3" ALIGN="CENTER">Lat. Bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20993 <TD COLSPAN="4" ALIGN="CENTER">Cometæ</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20994 <TD COLSPAN="3" ALIGN="CENTER">Lat. Bor.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20995 <TD COLSPAN="2" ALIGN="CENTER">Differ.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20996 <TD COLSPAN="2" ALIGN="CENTER">Differ.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20997 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20998 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	20999 <TD COLSPAN="4" ALIGN="CENTER">Temp. Appar.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21000 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21001 <TD COLSPAN="4" ALIGN="CENTER">Long. Comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21002 <TD COLSPAN="3" ALIGN="CENTER">Comp.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21003 <TD COLSPAN="4" ALIGN="CENTER">Long. Ob$.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21004 <TD COLSPAN="3" ALIGN="CENTER">Ob$er.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21005 <TD COLSPAN="2" ALIGN="CENTER">Long.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21006 <TD COLSPAN="2" ALIGN="CENTER">Lat.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21007 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21008 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21009 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21010 <TD ALIGN="RIGHT">d.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21011 <TD ALIGN="RIGHT">h.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21012 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21013 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21014 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21015 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21016 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21017 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21018 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21019 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21020 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21021 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21022 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21023 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21024 <TD></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21025 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21026 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21027 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21028 <TD ALIGN="RIGHT">gr.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21029 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21030 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21031 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21032 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21033 <TD ALIGN="RIGHT">′</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21034 <TD ALIGN="RIGHT">″</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21035 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21036 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21037 <TD ROWSPAN="6" VALIGN="TOP"><I>Aug.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21038 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21039 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21040 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21041 <TD ROWSPAN="11" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21042 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21043 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21044 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21045 <TD ROWSPAN="3" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21046 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21047 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21048 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21049 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21050 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21051 <TD ALIGN="RIGHT">7</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21052 <TD ROWSPAN="3" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21053 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21054 <TD ALIGN="RIGHT">14.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21055 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21056 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21057 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21058 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21059 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21060 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21061 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21062 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21063 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21064 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21065 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21066 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21067 <TD ALIGN="RIGHT">38</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21068 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21069 <TD ALIGN="RIGHT">55.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21070 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21071 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21072 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21073 <TD ALIGN="RIGHT">23</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21074 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21075 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21076 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21077 <TD ALIGN="RIGHT">24.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21078 <TD ALIGN="RIGHT">46.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21079 <TD ALIGN="RIGHT">22</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21080 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21081 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21082 <TD ALIGN="RIGHT">52</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21083 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21084 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21085 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21086 <TD ALIGN="RIGHT">50</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21087 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21088 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21089 <TD ALIGN="RIGHT">21.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21090 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21091 <TD ALIGN="RIGHT">21</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21092 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21093 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21094 <TD ALIGN="RIGHT">14</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21095 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21096 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21097 <TD ALIGN="RIGHT">15</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21098 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21099 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21100 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21101 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21102 <TD ALIGN="RIGHT">38.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21103 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21104 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21105 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21106 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21107 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21108 <TD ALIGN="RIGHT">47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21109 <TD ALIGN="RIGHT">+ 2.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21110 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21111 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21112 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21113 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21114 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21115 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21116 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21117 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21118 <TD ALIGN="RIGHT">55</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21119 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21120 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21121 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21122 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21123 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21124 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21125 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21126 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21127 <TD ALIGN="RIGHT">6.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21128 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21129 <TD ALIGN="RIGHT">3</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21130 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21131 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21132 <TD ALIGN="RIGHT">12</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21133 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21134 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21135 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21136 <TD ALIGN="RIGHT">30</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21137 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21138 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21139 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21140 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21141 <TD ALIGN="RIGHT">20</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21142 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21143 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21144 <TD ALIGN="RIGHT">40</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21145 <TD ROWSPAN="6" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21146 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21147 <TD ALIGN="RIGHT">37</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21148 <TD ALIGN="RIGHT">54</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21149 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21150 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21151 <TD ALIGN="RIGHT">47</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21152 <TD ROWSPAN="6" VALIGN="TOP"><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21153 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21154 <TD ALIGN="RIGHT">37.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21155 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21156 <TD ALIGN="RIGHT">18.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21157 <TD ALIGN="RIGHT">34.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21158 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21159 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21160 <TD ALIGN="RIGHT">5</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21161 <TD ALIGN="RIGHT">+ 3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21162 <TD ALIGN="RIGHT">42</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21163 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21164 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21165 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21166 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21167 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21168 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21169 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21170 <TD ALIGN="RIGHT">41</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21171 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21172 <TD ALIGN="RIGHT">36.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21173 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21174 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21175 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21176 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21177 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21178 <TD ALIGN="RIGHT">35.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21179 <TD ALIGN="RIGHT">18</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21180 <TD ALIGN="RIGHT">17.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21181 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21182 <TD ALIGN="RIGHT">17</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21183 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21184 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21185 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21186 <TD ALIGN="RIGHT">34</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21187 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21188 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21189 <TD ROWSPAN="5" VALIGN="TOP"><I>Sept.</I></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21190 <TD ALIGN="RIGHT">1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21191 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21192 <TD ALIGN="RIGHT">33</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21193 <TD ALIGN="RIGHT">19.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21194 <TD ALIGN="RIGHT">16.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21195 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21196 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21197 <TD ALIGN="RIGHT">30.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21198 <TD ALIGN="RIGHT">53</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21199 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21200 <TD ALIGN="RIGHT">13.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21201 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21202 <TD ALIGN="RIGHT">20.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21203 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21204 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21205 <TD ALIGN="RIGHT">15.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21206 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21207 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21208 <TD ALIGN="RIGHT">+ 3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21209 <TD ALIGN="RIGHT">49</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21210 <TD ALIGN="RIGHT">+ 3.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21211 <TD ALIGN="RIGHT">11</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21212 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21213 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21214 <TD ALIGN="RIGHT">4.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21215 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21216 <TD ALIGN="RIGHT">22</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21217 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21218 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21219 <TD ALIGN="RIGHT">28</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21220 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21221 <TD ALIGN="RIGHT">42.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21222 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21223 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21224 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21225 <TD ALIGN="RIGHT">48</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21226 <TD ALIGN="RIGHT">25.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21227 <TD ALIGN="RIGHT">40.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21228 <TD ALIGN="RIGHT">58</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21229 <TD ALIGN="RIGHT">12.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21230 <TD ALIGN="RIGHT">22.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21231 <TD ALIGN="RIGHT">0</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21232 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21233 <TD ALIGN="RIGHT">2</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21234 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21235 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21236 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21237 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21238 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21239 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21240 <TD ALIGN="RIGHT">32</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21241 <TD ALIGN="RIGHT">23.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21242 <TD ALIGN="RIGHT">10.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21243 <TD ALIGN="RIGHT">29</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21244 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21245 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21246 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21247 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21248 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21249 <TD ALIGN="RIGHT">8</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21250 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21251 <TD ALIGN="RIGHT">59.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21252 <TD ALIGN="RIGHT">24</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21253 <TD ALIGN="RIGHT">11.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21254 <TD ALIGN="RIGHT">33.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21255 <TD ALIGN="RIGHT">51</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21256 <TD ALIGN="RIGHT">+ 1.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21257 <TD ALIGN="RIGHT">22</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21258 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21259 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21260 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21261 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21262 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21263 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21264 <TD ALIGN="RIGHT">16</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21265 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21266 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21267 <TD ALIGN="RIGHT">58</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21268 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21269 <TD ALIGN="RIGHT">58.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21270 <TD ALIGN="RIGHT">44</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21271 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21272 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21273 <TD ALIGN="RIGHT">46</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21274 <TD ALIGN="RIGHT">29.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21275 <TD ALIGN="RIGHT">58.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21276 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21277 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21278 <TD ALIGN="RIGHT">26.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21279 <TD ALIGN="RIGHT">43</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21280 <TD ALIGN="RIGHT">- 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21281 <TD ALIGN="RIGHT">1</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21282 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21283 <TD ALIGN="RIGHT"><*></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21284 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21285 <TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21286 <TD ALIGN="RIGHT">9.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21287 <TD ALIGN="RIGHT">7.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21288 <TD ALIGN="RIGHT">26</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21289 <TD ALIGN="RIGHT">27.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21290 <TD ALIGN="RIGHT">5.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21291 <TD ALIGN="RIGHT">9</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21292 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21293 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21294 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21295 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21296 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21297 <TD ALIGN="RIGHT">49.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21298 <TD ALIGN="RIGHT">10</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21299 <TD><FIG></TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21300 <TD ALIGN="RIGHT">0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21301 <TD ALIGN="RIGHT">44.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21302 <TD ALIGN="RIGHT">4</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21303 <TD ALIGN="RIGHT">8.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21304 <TD ALIGN="RIGHT">48.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21305 <TD ALIGN="RIGHT">25</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21306 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21307 <TD ALIGN="RIGHT">6</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21308 <TD ALIGN="RIGHT">+ 0.</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21309 <TD ALIGN="RIGHT">45</TD>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21310 </TR>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21311 </TABLE>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21312 <p>His exemplis abunde $atis manife$tum e$t, quod motus Come-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21313 tarum per Theoriam a nobis expo$itam nor <*>inus accurate ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21314 <pb n=480>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21315 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21316 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21317 hibentur, quam $olent motus Planetarum per eorum Theovias. Et
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21318 propterca Orbes Cometarum per hanc Theoriam enumerari po$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21319 $unt, & tempus periodicum Cometæ in quolibet Orbe revolventis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21320 tandem $ciri, & tum demum Orbium Ellipticorum latera tran$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21321 ver$a & Apheliorum altitudines innote$cent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21322 <p>Cometa retrogradus qui apparuit anno 1607, de$crip$it Orbem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21323 cujus Nodus a$cendens (computante <I>Halleio</I>) erat in 8 20<SUP>gr.</SUP> 21′.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21324 Inclinatio plani Orbis ad planum Eclipticæ erat 17<SUP>gr.</SUP> 2′. Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21325 helium erat in = 2<SUP>gr.</SUP> 16′, & di$tantia perihelia a Sole erat 58680,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21326 exi$tente radio Orbis magni 100000. Et Cometa erat in Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21327 helio <I>Octob.</I> 16<SUP>d</SUP>. 3<SUP>h</SUP>. 50′. Congruit hic Orbis quamproxime cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21328 Orbe Cometæ qui apparuit anno 1682. Si Cometæ hi duo fue-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21329 rint unus & idem, revolvetur hic Cometa $patio annorum 75, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21330 axis major Orbis ejus erit ad axem majorem Orbis magni, ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21331 √<I>c</I>:75X75 ad 1, $eu 1778 ad 100 circiter. Et di$tantia aphe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21332 lia Cometæ hujus a Sole, erit ad di$tantiam mediocrem Terræ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21333 Sole, ut 35 ad 1 circiter. Quibus cognitis, haud difficile fuerit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21334 Orbem Ellipticum Cometæ hujus determinare. Atque hæc ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21335 $e habebunt $i Cometa, $patio annorum $eptuaginta quinque, in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21336 hoc Orbe po$thac redierit. Cometæ reliqui majori tempore re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21337 volvi videntur & altius a$cendere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21338 <p>Cæterum Cometæ, ob magnum eorum numerum, & magnam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21339 Apheliorum a Sole di$tantiam, & longam moram in Apheliis, per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21340 gravitates in $e mutuo nonnihil turbari debent, & eorum eccen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21341 tricitates & revolutionum tempora nunc augeri aliquantulum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21342 nunc diminui. Proinde non e$t expectandum ut Cometa idem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21343 in eodem Orbe & ii$dem temporibus periodicis, accurate redeat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21344 Sufficit $i mutationes non majores obvenerint, quam quæ a cau$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21345 prædictis oriantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21346 <p>Et hinc ratio redditur cur Cometæ non comprehendantur Zo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21347 diaco (more Planetarum) $ed inde migrent & motibus variis in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21348 omnes c&oelig;lorum regiones ferantur. Scilicet eo fine, ut in Apheliis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21349 $uis ubi tardi$$ime moventur, quam longi$$ime di$tent ab invicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21350 & $e mutuo quam minime trahant. Qua de cau$a Cometæ qui
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21351 altius de$cendunt, adeoque tardi$$ime moventur in Apheliis, de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21352 bent altius a$cendere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21353 <p>Cometa qui anno 1680 apparuit, minus di$tabat a Sole in Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21354 helio. $uo quam parte $exta diametri Solis; & propter $ummam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21355 velocitatem in vicinia illa, & den$itatem aliquam Atmo$phæræ So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21356 lis, re$i$tentiam nonnullam $entire debuit, & aliquantulum retar-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21357 <pb n=481>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21358 dari & propius ad Solem accedere: & $ingulis revolutionibus ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21359 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21360 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21361 cedendo ad Solem, incidet is tandem in corpus Solis. Sed & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21362 Aphelio ubi tardi$$ime movetur, aliquando per attractionem alio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21363 rum Cometarum retardari pote$t & $ubinde in Solem incidere.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21364 Sic etiam Stellæ fixæ quæ paulatim expirant in lucern & vapores,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21365 Cometis in ip$as incidentibus refici po$$unt, & novo alimento
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21366 accen$æ pro Stellis Novis haberi. Vapores autem qui ex Sole &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21367 Stellis fixis & caudis Cometarum oriuntur, incidere po$$unt per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21368 gravitatem $uam in Atmo$phæras Planetarum, & ibi conden$ari
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21369 & converti in aquam & $piritus humidos, & $ubinde per lentum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21370 calorem in $ales, & $ulphura, & tincturas, & limum, & lutum, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21371 argillam, & arenam, & lapides, & coralla, & $ub$tantias alias
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21372 terre$tres paulatim migrare. Decre$cente autem corpore Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21373 motus medii Planetarum circum Solem paulatim tarde$cent, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21374 cre$cente Terra motus medius Lunæ circum Terram paulatim au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21375 gebitur. Et collatis quidem ob$ervationibus Eclip$ium <I>Babyloni-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21376 cis</I> cum iis <I>Albategnii</I> & cum hodiernis, <I>Halleius</I> no$ter motum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21377 medium Lunæ cum motu diurno Terræ collatum, paulatim acce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21378 lerari, primus omnium quod $ciam deprehendit.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21379 <C><I>SCHOLIUM GENERALE.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21380 <p>Hypothe$is Vorticum multis premitur difficultatibus. Ut Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21381 neta unu$qui$que radio ad Solem ducto areas de$cribat tempori
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21382 proportionales, tempora periodica partium Vorticis deberent e$$e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21383 in duplicata ratione di$tantiarum a Sole. Ut periodica Plane-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21384 tarum tempora $int in proportione $e$quiplicata di$tantiarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21385 Sole, tempora periodica partium Vorticis deberent e$$e in eadem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21386 di$tantiarum proportione. Ut Vortices minores circum Satur-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21387 num, Jovem & alios Planetas gyrati con$erventur & tranquille
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21388 natent in Vortice Solis, tempora periodica partium Vorticis So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21389 laris deberent e$$e æqualia. Revolutiones Solis & Planetarum cir-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21390 cum axes $uos ab omnibus hi$ce proportionibus di$crepant. Mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21391 tus Cometarum $unt $umme regulares, & ea$dem leges cum Pla-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21392 netarum motibus ob$ervant, & per Vortices explicari nequeunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21393 Feruntur Cometæ motibus valde eccentricis in omnes cælorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21394 partes, quod fieri non pote$t ni$i Vortices tollantur.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21395 <p>Projectilia, in aere no$tro, $olam aeris re$i$tentiam $entiunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21396 Sublato aere, ut fit in Vacuo <I>Boyliano,</I> re$i$tentia ce$$at, $iqui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21397 dem pluma tenuis & aurum $olidum æquali cum velocitate in hoc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21398 <pb n=482>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21399 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21400 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21401 Vacuo cadunt. Et par e$t ratio $patiorum cæle$tium quæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21402 $upra atmo$phæram Terræ. Corpora omnia in i$tis $patiis liber-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21403 rime movcri debent; & propterea Planetæ & Cometæ in orbi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21404 bus $pecie & po$itione datis, $ecundum leges $upra expo$itas, per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21405 petuo revolvi. Per$everabunt quidem in orbibus $uis per leges
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21406 gravitatis, $ed regularem orbium $itum primitus acquirere per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21407 leges ha$ce minime potuerunt.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21408 <p>Planetæ $ex principales revolvuntur circum Solem in circulis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21409 Soli concentricis, eadem motus directione, in eodem plano quam-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21410 proxime. Lunæ decem revolvuntur circum Terram, Jovem & Sa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21411 turnum in circulis concentricis, eadem motus directione, in planis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21412 orbium Planetarum quamproxime. Et hi omnes motus regulares
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21413 originem non habent ex cau$is Mechanicis; $iquidem Cometæ in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21414 Orbibus valde eccentricis, & in omnes cælorum partes libere
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21415 feruntur. Quo motus genere Cometæ per Orbes Planetarum ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21416 lerrime & facillime tran$eunt, & in Apheliis $uis ubi tardiores
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21417 $unt & diutius morantur, quam longi$$ime di$tant ab invicem,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21418 & $e mutuo quam minime trahunt. Eleganti$$ima hæcce Solis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21419 Planetarum & Cometarum compages non ni$i con$ilio & dominio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21420 Entis intelligentis & potentis oriri potuit. Et $i Stellæ fixæ $int
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21421 centra $imilium $y$tematum; hæc omnia $imili con$ilio con$tructa,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21422 $uberunt <I>Unius</I> dominio: præ$ertim cum lux Fixarum $it ciu$dem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21423 naturæ ac lux Solis, & $y$temata omnia lucem in omnia invicem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21424 immittant.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21425 <p>Hic omnia regit, non ut Anima mundi, $ed ut univer$orum Do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21426 minus; & propter dominium $uum Dominus Deus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21427 <note>Id e$t, <I>Impe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21428 <>r aniver$alu.</I></note> <G>pantik<>t<*>r</G> dici $olet. Nam <I>Deus</I> e$t vox relativa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21429 & ad $ervos refertur: & <I>Deitas</I> e$t dominatio Dei
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21430 non in corpus proprium, $ed in $ervos. <I>Deus $ummus</I> e$t Ens
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21431 æternum, in$initum, ab$olute perfectum; $ed Ens utcunque per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21432 fectum $ine dominio, non e$t <I>Dominus Deus.</I> Dicimus enim <I>Deus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21433 meus, Deus ve$ter, Deus I$raelis:</I> $ed non dicimus <I>Æternus meus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21434 Æternus ve$ter, Æternus I$raelis</I>; non dicimus <I>Infinitus meus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21435 Infinitus ve$ter, Infinitus I$raelis</I>; non dicimus <I>Perfectus meus, Per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21436 fectus ve$ter, Perfectus I$raelis.</I> Hæ appellationes relationem non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21437 habent ad $ervos. Vox <I>Deus</I> pa$$im $ignificat <I>Dominum,</I> $ed
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21438 omnis Dominus non e$t Deus. Dominatio Entis $piritualis <I>Deum</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21439 con$tituit, vera verum, $umma fummum, ficta fictum. Et ex do-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21440 minatione vera $equitur, Deum verum e$$e vivum, intelligentem &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21441 potentem; ex reliquis perfectionibus $ummum e$$e vel $umme per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21442 <pb n=483>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21443 fectum. <I>Æternus</I> e$t & <I>Infinitus, Omnipotens</I> & <I>Omni$ciens,</I> id
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21444 <MARG>LIBER
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21445 TERTIUS.</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21446 e$t, durat ab æterno in æternum & ade$t ab infinito in infinitum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21447 omnia regit & omnia cogno$cit quæ fiunt aut $ciri po$$unt. Non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21448 e$t æternitas vel infinitas, $ed æternus & infinitus; non e$t duratio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21449 vel $patium, $ed durat & ade$t. Durat $emper & ade$t ubique, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21450 exi$tendo $emper & ubique durationem & $patium, æternitatem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21451 & infinitatem con$tituit. Cum unaquæque $patii particula $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21452 <I>$emper,</I> & unumquodque durationis indivi$ibile momentum <I>ubique</I>;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21453 certe rerum omnium Fabricator ac Dominus non erit <I>nunquam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21454 nu$quam.</I> Omnipræ$ens e$t nen per <I>virtutem</I> $olam, $ed etiam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21455 per <I>$ub$tantiam</I>: nam virtus $ine $ub$tantia
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21456 $ub$i$tere non pote$t. In ip$o<note>Ita
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21457 $entiebant veteres,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21458 <I>Aratus</I> in Phænom: $ub ini-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21459 tio. <I>Paulus</I> in Act. 7. 27, 28.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21460 <I>Mo$es</I> Deut.4. 39 & 10. 14.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21461 <I>D<*>id</I> P$al. 139. 7, 8. <I>Solo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21462 mon</I> Reg. 8. 27. <I>Job.</I> 22.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21463 12. <I>Jeremias</I> Prophcta 23.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21464 23, 24.</note> continentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21465 & moventur univer$a, $ed ab$que mutua <I>pa$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21466 $ione.</I> Deus nihil patitur ex corporum moti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21467 bus: illa nullam $entiunt re$i$tentiam ex om-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21468 nipræ$entia Dei. Deum $ummum nece$$ario
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21469 exi$tere in con$e$$o e$t: Et eadem nece$$itate
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21470 <I>$emper</I> e$t & <I>ubique.</I> Unde etiam totus e$t $ui $imilis, totus oculus,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21471 totus auris, totus cerebrum, totus brachium, totus vis $entiendi,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21472 intelligendi & agendi; $ed more minime humano, more minime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21473 corporeo, more nobis pror$us incognito. Ut cæcus ideam non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21474 habet colorum, $ic nos ideam non habemus modorum quibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21475 Deus $apienti$$imus $entit & intelligit omnia. Corpore omni &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21476 figura corporea pror$us de$tituitur, ideoque videri non pote$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21477 nec audiri, nec tangi, nec $ub $pecie rei alicujus corporei coli de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21478 bet. Ideas habemus attributorum ejus, $ed quid $it rei alicujus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21479 Sub$tantia minime cogno$cimus. Videmus tantum corporum figu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21480 ras & colores, audimus tantum $onos, tangimus tantum $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21481 ficies externas, olfacimus odores $olos, & gu$tamus $apores; In-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21482 timas $ub$tantias nullo $en$u, nulla actione reflexa cogno$cimus, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21483 multo minus ideam habemus $ub$tantiæ Dei. Hunc cogno$cimus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21484 $olummodo per proprietates $uas & attributa, & per $apienti$$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21485 mas & optimas rerum $tructuras, & cau$as finales; veneramur au-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21486 tem & colimus ob dominium. Deus enim $ine dominio, provi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21487 dentia, & cau$is finalibus, nihil aliud e$t quam Fatum & Na-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21488 tura. Et hæc de Deo; de quo utique ex Phænomenis di$$erere,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21489 ad <I>Philo$ophiem Experimentalem</I> pertinet.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21490 <p>Hactenus Phænomena cælorum & maris no$tri per Vim gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21491 tatis expo$ui, $ed cau$am Gravitatis nondum a$$ignavi. Oritur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21492 utique hæc Vis a cau$a aliqua quæ penetrat ad u$que centra Solis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21493 <pb n=484>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21494 <MARG>DE MUNDI
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21495 SYSTEMATE</MARG>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21496 & Planetarum, $ine virtutis diminutione; quæque agit non pro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21497 quantitate <I>$uperficierum</I> particularum in quas agit (ut $olent cau$æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21498 Mechanicæ,) $ed pro quantitate materiæ <I>$olidæ</I>; & cujus actio in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21499 immen$as di$tantias undique extenditur, decre$cendo $emper in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21500 duplicata ratione di$tantiarum. Gravitas in Solem componitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21501 ex gravitatibus in $ingulas Solis particulas, & recedendo a Sole
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21502 decre$cit accurate in duplicata ratione di$tantiarum ad u$que or-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21503 bem Saturni, ut ex quiete Apheliorum Planetarum manife$tum e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21504 & ad u$que ultima Cometarum Aphelia, $i modo Aphelia illa
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21505 quie$cant. Rationem vero harum Gravitatis proprietatum ex
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21506 Phænomenis nondum potui deducere, & Hypothe$es non $ingo.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21507 Quicquid enim ex Phænomenis non deducitur, <I>Hypothe$is</I> vo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21508 canda e$t; & Hypothe$es $eu Metaphy$icæ, $eu Phy$icæ, $eu Qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21509 litatum occultarum, $eu Mechanicæ, in <I>Philo$ophia Experimentali</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21510 locum non habent. In hac Philo$ophia Propo$itiones deducun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21511 tur ex Phænomenis, & redduntur generales per Inductionem. Sie
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21512 impenetrabilitas, mobilitas, & impetus corporum & leges motuum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21513 & gravitatis innotuerunt. Et $atis e$t quod Gravitas revera ex-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21514 i$tat, & agat $ecundum leges a nobis expo$itas, & ad corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21515 cæle$tium & maris no$tri motus omnes $ufficiat.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21516 <p>Adjicere jam liceret nonnulla de Spiritu quodam $ubtili$$imo cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21517 pora cra$$a pervadente, & in ii$dem latente; cujus vi & actionibus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21518 particulæ corporum ad minimas di$tantias $e mutuo attrahunt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21519 & contiguæ factæ cohærent; & corpora Electrica agunt ad di-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21520 $tantias majores, tam repellendo quam attrahendo corpu$cula vi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21521 cina; & Lux emittitur, reflectitur, refringitur, inflectitur, & cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21522 pora calefacit; & Sen$atio omnis excitatur, & membra Anima-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21523 lium ad voluntatem moventur, vibrationibus $cilicet hujus Spiri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21524 tus per $olida nervorum capillamenta ab externis $en$uum orga-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21525 nis ad cerebrum & a cerebro in mu$culos propagatis. Sed hæc
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21526 paucis exponi non po$$unt; neque ade$t $ufficiens copia Experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21527 mentorum, quibus leges actionum hujus Spiritus accurate deter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21528 minari & mon$trari debent.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21529 <C><I>FINIS.</I></C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21530 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21531 <C>INDEX RERUM
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21532 ALPHABETICUS.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21533 <p>N.B. <I>Citationes factæ $unt ad normam $equentis Exempli.</I> III, 10: 444, 20:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21534 471, 28 <I>de$ignant Libri tertii Propo$itionem decimam: Paginæ</I> 444<*> <I>lineam</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21535 20<I><SUP>æm</SUP>: Paginæ</I> 471<I><SUP>æm</SUP> lineam</I> 28<I><SUP>æm</SUP></I>.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21536 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21537 <C>A.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21538 <p>ÆQuinoctiorum præce$$io
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21539 <p>cau$æ hujus motus indicantur III,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21540 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21541 <p>quantitas motus ex cau$is computatur III, 39
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21542 Aeris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21543 <p>den$itas ad quamlibet altitudinem colligitur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21544 ex Prop. 22. Lib. II. quanta $it ad altitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21545 dinem unius $emidiametri Terre$tris o$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21546 ditur 470, 11
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21547 <p>ela$tica vis quali cau$æ tribui po$$it II, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21548 <p>gravitas cum Aquæ gravitate collata 470, 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21549 <p>re$i$tentia quanta $it, per Experimenta Pen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21550 dulorum colligitur 286, 28; per Experi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21551 menta corporum cadentium & Theoriam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21552 accuratius invenitur 327, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21553 <p>Anguli contactus non $unt omne; eja$dem gene-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21554 ris, $ed alii aliis in$inite minores p. 32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21555 <p>Ap$idum motus expendltur I, Sect. 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21556 <p>Areæ quas corpora in gyros acta, radiis ad con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21557 trum virium ductis, de$cribunt, conferuntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21558 cum temporibus de$criptionum I, 1, 2, 3,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21559 58, <*>5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21560 <p>Attractio corporum univer$orum demon$tratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21561 III, 7; qualis $it hujus demon$trationis certi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21562 tudo o$tenditur 358, 28: 484, 11
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21563 <p>Attractionis cau$am vel modum nullibi definit
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21564 Author 5, 17: 147, 32: 172, 31: 483, 34.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21565 <C>C.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21566 <p>Cali
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21567 <p>re$i$tentia de$tituuntur III, 10: 444, 20:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21568 471, 28; & propterea Fluido omni corpo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21569 rco 328, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21570 <p>tran$itum Luci præbent ab$que ulla refracti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21571 one 467, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21572 <p>Calore virga ferrea comperta e$t augeri longi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21573 tudine 386, 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21574 <p>Calor Solis quantus $it in diver$is a Sole di$tantiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21575 466, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21576 <p>quantus apud Mercurium 372, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21577 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21578 <p>quantus apud Cometam anni 1680 in Peri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21579 helio ver$antem 466, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21580 <p>Centrum commune gravitatis corporum plu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21581 rium, ab actionibus corporum inter $e, non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21582 mutat $tatum $uum vel motus vel quietis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21583 p. 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21584 <p>Centrum commune gravitatis Terræ, Solis &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21585 Planctarum omnium quic$cere III, 11; con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21586 fir matur ex Cor. 2. Prop. 14. Lib. III.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21587 <p>Centrum commune gravitatis Terræ & Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21588 motu annuo percurrit Orbem magnum 376, 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21589 quibur intervallis di$tata Terra & Luna 430, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21590 <p>Centrun Virium quibus corpora revolventia in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21591 Orbibus retinentur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21592 <p>quali Arearum indicio invenitur 38, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21593 <p>qua ratione ex datis revolventium velocitati-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21594 bus invenitur I, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21595 <p>Circuli circum$erentia, qua lege vis centripetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21596 tendentis ad punctum quodcunque datum de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21597 $cribi pote$t a corpore revolvente I, 4, 7, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21598 <p>Cometæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21599 <p>Genus $unt Planetarum, non Meteororum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21600 444, 24: 466, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21601 <p>Luna $uperiores $unt, & in regione Planeta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21602 rum ver$antur p. 439
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21603 <p>Di$tantia corum qua ratione per Ob$ervatio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21604 nes colligi pote$t quamproxime 439, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21605 <p>Plures ob$ervati $unt in hemi$phærio Solem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21606 ver$us, quam in hemi$phærio oppo$ito; &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21607 unde hoc fiat 444, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21608 <p>Splendent luce Solis a $e reflexa 444, 4; Lux
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21609 illa quanta e$$et $olet 441, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21610 <p>Cinguntur Atmo$phæris ingentibus 442, 12:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21611 444, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21612 <p>Qui ad Solem propius accedunt ut plurimum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21613 minores e$$e exi$timantur 475, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21614 <p>Quo fine non comprehenduntur Zodiaco
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21615 (more Planetarum) $ed in omnes tælorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21616 regiones varie feruntur 480, 30
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21617 <p>Po$$unt aliquando in Solem incidere & no-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21618 vum illi alimentum ignis præbere 480, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21619 <p>U$us corum $<*>ggeritur 473, 1: 481, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21620 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21621 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21622 <p>Cometaram caudr
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21623 <p>avertuntur a Sole <*>8, 39
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21624 <p>maximæ $unt & $ulgenti$$imæ $tatim po$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21625 tran$itum per vicinam Solis 467, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21626 <p>in$ignis earum raritas 470, 32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21627 <p>origo & natura earundem 442. 19: 467, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21628 <p>quo tempori; $patio a capite a$<*>endunt 471, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21629 <p>Com<*>æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21630 <p>Moventur in Sectionibus Conicis umbilicos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21631 in centro Solis habentibus, & radiis ad So-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21632 lem ductis de$cribunt areas temporibus pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21633 portionales. Et quidem in Ellip$ibus mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21634 ventur $i in Orbem redeunt, hæ tamen
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21635 Parabolis erunt m<*> $initimæ III, 40
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21636 <p>Trajectoria Paral olica ex datis tribus Ob$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21637 vationibus invenitur III, 41; Inventa cor-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21638 <*>igitur III, 42
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21639 <p>Locus in Parabola invenitur ad tempus da-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21640 tum 445, 30: I, 30
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21641 <p>Velocitas cum velocitate Planetarum con$er-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21642 <*>r 445, 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21643 <p><*>meta annorum 1664 & 1665
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21644 <p>H<*>s motus ob$ervatus expenditur, & cum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21645 Theoria accurate congruere deprehenditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21646 p. 477
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21647 <p>Cometa annorum 1680 & 1681
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21648 <p>Hujus motus ob$ervatus cum Theoria accu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21649 rate congruere invenitur p. 455 & $eqq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21650 <p>Videbatur in Ellip$i revolvi $patio annorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21651 plu$quam quingentorum 464, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21652 <p>Trajectoria illius & Cauda $ingulis in locis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21653 delineantur p. 465
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21654 <p>Cometa anni 1682
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21655 <p>Hajus motus accurate te$pondet Theoriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21656 p. 479
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21657 <p>Comparui$$e vi$us e$t anno 1607, iterumque re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21658 diturus videtur per<*> 75 annorum 480, 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21659 <p>Cometa anni 1683
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21660 <p>Hujus motus accurate re$pondet Theoriæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21661 p. 478
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21662 <p>Curvæ di$tinguuntur in Geometrice rationales &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21663 Geometrice irrationales 100, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21664 <p>Curvatura figurarum qua ratione æ$timanda $it
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21665 235, 28: 398, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21666 <p>C<*>cloidis $eu Epicycloidis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21667 rectificatio I, 48, 49: 142, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21668 <p>ëvoluta I, 5<*>: 142, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21669 <p>Cylindri attractio ex particulis trahentibus com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21670 po$iti quarum vires $unt reciproce ut qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21671 drata di$tantiarum 198, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21672 <C>D.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21673 <p>Dei Natura p. 482 & 483
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21674 <p>De$cen$us graviuni in vacuo quantus $it, ex lon-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21675 gitudine Penduii colligitur 379, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21676 <p>De$<*> vel A$cen$us rectilinci $patia de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21677 pta, tempora de$criptionum & velocitates ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21678 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21679 qui$itæ conferuntur, po$ita cuju$cunque ge-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21680 neris vi centripeta I, Sect. 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21681 <p>De$cen$us & A$cen$us corporum in Mediis re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21682 $i$tentibus II, 3, 8, 9, 40, 13, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21683 <C>E.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21684 <p>Ellip$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21685 <p>qua lege vis contripetæ tendentis ad centrum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21686 figuræ de$cribitur a corpore revolvente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21687 I, 10, 64
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21688 <p>qua lege vis centripetæ tendentis ad umbili-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21689 cum figuræ de$cribitur a corpore revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21690 vente I, 11
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21691 <C>F.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21692 <p>Fleidi definitio p. 260
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21693 <p>Flaidorum den$itas & compre$$io quas leges ha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21694 bent, o$tenditur II, Sect. 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21695 <p>Fluidorum per foramen in va$e factum effluen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21696 tium determinatur motus II, 36
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21697 <p>Fumi in camino a$cen$us obiter explicatur 472, 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21698 <C>G.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21699 <p>Graduum in Meridiano Terre$tri men$ura exhi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21700 betur, & quam $it exigua inæqualitas o$ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21701 ditur ex Theoria III, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21702 <p>Gravitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21703 <p>diver$i e$t generis a vi Magnetica 368, 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21704 <p>mutua e$t inter Terram & ejus partes 22, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21705 <p>ejus cau$a non a$$ignatur 483, 34
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21706 <p>datur in Planetas univer$os 365, 15; & per-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21707 gendo a $uperficiebus Planetarum $ur$um
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21708 decre$cit in duplicata ratione di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21709 a centro III, 8, deor$um decre$cit in $im-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21710 plici ratione quamproxime III, 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21711 <p>datur in corpora omnia, & proportionalis e$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21712 quantitati materiæ in $ingulis III, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21713 <p>Gravitatem e$$e vim illam qua Luna retinetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21714 in Orbe III, 4, computo accuratiori com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21715 probatur 430, 25
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21716 <p>Gravitatem e$$e vim illam qua Planetæ primarii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21717 & Satellites Jovis & Saturni retinentur in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21718 Orbibus III, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21719 <C>H.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21720 <p>Hydro$taticæ principia traduntur II, Sect. 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21721 <p>Hyperbola
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21722 <p>qua lege vis centrifugæ tendentis a figuræ cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21723 tro de$cribitur a corpore revolvente 47, 26
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21724 <p>qua lege vis centrifugæ tendentis ab umbilico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21725 figuræ de$cribitur a corpore revolvente 51, 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21726 <p>qua lege vis centripetæ tendentis ad umbilicum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21727 figuræde$cribitur a corpore revolvente I, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21728 <p>Hypothe$es cuju$cunque generis rejiciuntur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21729 hac Philo$ophia 484, 8.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21730 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21731 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21732 <C>I.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21733 <p>Inertiæ vis de$initur p. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21734 <p>Jovis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21735 <p>di$tantia a Sole 361,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21736 <p>$emidiameter apparens 371, 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21737 <p>$emidiameter vera 371, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21738 <p>attractiva vis quanta $it 370, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21739 <p>pondus corporum in ejus $uperficie 371, 19
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21740 <p>deniitas 371, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21741 <p>quantitas materiæ 3: 1, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21742 <p>perturbatio a Saturno quanta $it 375, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21743 <p>diametrorum proportio computo exhibetur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21744 381, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21745 <p>conver$io citcum axem quo tempore ab$olvi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21746 tur 381, 25
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21747 <p>cingulæ cau$a $ubindicatur 444 32.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21748 <C>L.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21749 <p>Locus definitur, & di$tinguitur in ab$olutum &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21750 relativum 6, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21751 <p>Loca corporum in Sectionibus conicis moto-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21752 rum inveniuntur ad tempus a$$ignatum I,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21753 Sect. 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21754 <p>Lucis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21755 <p>propagatio non e$t in$tant<*>ea 207, 5; non
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21756 fit per agitationem Medii alicujus Ætherci
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21757 342, 36
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21758 <p>velocitas in diver$is Mediis diver$a I, 95
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21759 <p>re<*>exio quædam explicatur I, 96
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21760 <p>refractio explicatur I, 94; non $it in puncto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21761 $olum incidentiæ 207, 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21762 <p>incurvatio prope corporum terminos Expe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21763 rimentis ob$ervata 207, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21764 <p>Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21765 <p>corporis figura computo colligitur III, 38
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21766 <p>in<*> cau$a patefacta, cur candem $emper fa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21767 ciem in Terram obvertat 432, 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21768 <p>& libra ioncs explicantur III, 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21769 <p>diameter meliocris apparens 430, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21770 <p>diameter <> 43<>, 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21771 <p>pondus corporum in ejus $uperficie 430, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21772 <p>den$itas 430, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21773 <p>quantitas materiæ 430, 19
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21774 <p>di$tantia mediocris a Terra quot continet
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21775 maximas Terræ $emidiametros 430, 25,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21776 quot mediocres 431, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21777 <p>parallaxis maxima in longitudinem paulo ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21778 jor e$t quam paraliaxis maxima in latitu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21779 dinem 387, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21780 <p>vis ad Mare movendum quanta $it III, 37;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21781 non $entiri pote$t in Experimentis pendu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21782 lorum, vel in Staticis aut Hydro$taticis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21783 quibu$cunque 430, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21784 <p>tempus periodicum 430, 32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21785 <p>tempus revolutionis $ynodicæ 398, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21786 <p>motus medius cum diurno motu Terræ col-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21787 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21788 latus paulatim accelerari deprehenditur ab
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21789 <I>Helleio</I> 481, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21790 <p>Lunæ motus & motuum inæqualitates a cau$is
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21791 $<*> derivantur III, 22: p. 421 & $eqq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21792 <p>tardius revolvitur Luna dilatato Orbe, in pe-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21793 rihelio Terræ, citius in ophelio, contracto
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21794 Orbe III, 22: 421, 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21795 <p>tardius revolvitur, dilatato Orbe, in Apogæi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21796 Syzygiis cum Sole; citius in Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21797 Apogæi, contracto Orbe 422, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21798 <p>tardius revolvitur, dilatato Orbe, in Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21799 Nodi cum Sole; citius in Quadraturis No-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21800 di, contracto Orbe 422, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21801 <p>tardius movetur in Quadraturis $uis cum Sole,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21802 citius in Syzygiis; & radio ad Terram
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21803 ducto de$eribit aream pro tempere mino-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21804 rem in priore ca$u, majorem in po$teriore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21805 III, 22: Inæqualitas harum Arearum com-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21806 putatur III, 26. Orbem in$uper habet ma-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21807 gis curvum & longius a Terra recedit in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21808 priore ca$u, minus curvum habet Orbem
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21809 & propius ad Terram accedit in po$teriore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21810 III, 22. Orbis hujus figura & proportio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21811 diametrorum ejus computo colligitur III,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21812 28. Et $abinde proponitur methodus in-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21813 veniendi di$tantiam Lunæ a Terra ex motu
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21814 ejus horario III, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21815 <p>Apogæum tardius movetur in Aphelio Terræ,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21816 velocius in Perihclio III, 22: 421, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21817 <p>Apogæum ubi e$t in Solis Syzygiis, maxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21818 progreditur; in Quadraturis regreditur III,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21819 22: 422, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21820 <p>Eccentricitas maxima e$t in Apogæi Syzygiis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21821 cum Sole, minima in Quadraturis III, 22:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21822 422, 39
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21823 <p>Nodi tardius moventur in Aphelio Terræ, ve-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21824 locius in Perihelio III, 22: 421, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21825 <p>Nodi quie$cunt in Syzygiis $uis cum Sole, &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21826 veloci$$ime regrediuntur in Quadraturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21827 III, 22. Nodorum motus & inæqualitates
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21828 motuum computantur ex Theoria Gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21829 tatis III, 30, 31, 3<*> 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21830 <p>In<*>tio Oibis ad Ec$ipticam maxima e$t in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21831 Syzygiis Nodorum cum Sole, minima in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21832 Quadraturis I, 66 Cor. 10. Inclinationis va-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21833 riationes computantur ex Theoria Gravita-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21834 tis III, 34, 35
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21835 <p>Lunarium motuum Æquationes ad u$us A$tro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21836 nomicos p. 421 & $eqq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21837 <p>Motus medii Lunæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21838 <p>Æquatio annua 421, 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21839 <p>Æquatio $eme$tris prima 412, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21840 <p>Æquatio $eme$tris $ecunda 422, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21841 <p>Æquatio centri prima 423, 20: p. 101 &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21842 $eqq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21843 <p>Æquatio centri $ecunda 424, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21844 <p>Variatio prima III, 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21845 <p>Variatio $ecunda 425, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21846 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21847 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21848 <p>Motus medii Apogæi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21849 <p>Æquatio annua 421, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21850 <p>Æquatio $eme$tris 422, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21851 <p>Eccentricitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21852 <p>Æquatio $eme$tris 422, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21853 <p>Motus medii Nodorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21854 <p>Æquatio annua 421, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21855 <p>Æquatio $eme$tris III, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21856 <p>Inclinationis Orbitæ ad Eclipticam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21857 <p>Æquatio $eme$tris 420, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21858 <p>Lunarium motuum Theoria, qua Methodo $ta-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21859 bilienda $it per Ob$ervationes 425, 33.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21860 <C>M.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21861 <p>Magnetica vis 22, 13: 271, 25: 368, 29:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21862 431, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21863 <p>Maris æ$tus a cau$is $uis derivatur III, 24, 36, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21864 <p>Martis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21865 <p>di$tan<*>ia a Sole 361, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21866 <p>Aphelii motus 376, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21867 <p>Materi<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21868 <p>quan<*>itas definitur p. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21869 <p>vis in$ita $eu vis inertiæ definitur p. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21870 <p>vis impre$$a definitur p. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21871 <p>exten$io, durities, impenetrabilitas, mobilitas,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21872 vis inertiæ, gravitas, qua ratione innote$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21873 cunt 357, 16: 484, 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21874 <p>divi$ibilitas nondum con$tat 358, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21875 <p>Materia $ubtilis <I>Carte$ianorum</I> ad examen quod-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21876 dam revocatur 292, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21877 <p>Materia vel $ubtiii$$ima Gravitate non de$titui-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21878 tur 368, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21879 <p>Mechanicæ, quæ dicuntur, Potentiæ explicantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21880 & demon$trantur p. 14 & 15: p. 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21881 <p>Mercurii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21882 <p>di$tantia a Sole 361, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21883 <p>Aphelii motus 376, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21884 <p>Methodus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21885 <p>Rationum primarum & ultimarum I, Sect. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21886 <p>Tran$mutandi figuras in alias quæ $unt eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21887 dem Ordinis Analytici I, Lem. 22. pag. 79
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21888 <p>Fluxionum II, Lem. 2. p. 224
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21889 <p>Differentialis III, Lemm. 5 & 6. pagg. 446
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21890 & 447
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21891 <p>Inveniendi Curvarum omnium quadraturas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21892 proxime veras 447, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21893 <p>Serierum convergentium adhibetur ad $olu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21894 tionem Problematum difficiliorum p. 127:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21895 128: 202: 235: 414
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21896 <p>Motus quantitas definitur p. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21897 <p>Motus ab$olutus & relativus p. 6: 7: 8: 9 2b
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21898 invicem $ecerni po$$unt, exemplo demon$tra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21899 tur p. 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21900 <p>Motus Leges p. 12 & $eqq.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21901 <p>Motuum compo$itio & re$olutio p. 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21902 <p>Motus corporum congredientium po$t reflexio-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21903 nem, quali Experimento recte colligi po$$unt,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21904 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21905 o$tenditur 19, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21906 <p>Motus corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21907 <p>in Conicis $ectionibus eccentricis I, Sect. 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21908 <p>in Orbibus mobilibus I, Sect. 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21909 <p>in Super$iciebus datis & Funependulorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21910 motus reciprocus I, Sect. 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21911 <p>Motus corporum viribus centripetis $e mutuo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21912 petentium I, Sect. 11
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21913 <p>Motus corporum Minimorum, quæ viribus cen-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21914 tripetis ad $ingulas Magni alicujus corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21915 partes tendentibus agitantur I, Sect. 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21916 <p>Motus corporum quibus re$i$titur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21917 <p>in ratione velocitatis II, Sect. 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21918 <p>in duplicata ratione velocitatis II, Sect. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21919 <p>partim in ratione velocitatis, partim in eju$-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21920 dem ratione duplicata II, Sect. 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21921 <p>Motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21922 <p>corporum $ola vi in$ita progredientium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21923 Mediis re$i$tentibus II, 1, 2, 5, 6, 7, 11,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21924 12: 302, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21925 <p>corporum recta a$cendentium vel de$cenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21926 tium in Mediis re$i$tentibus, agente vi Gra-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21927 vitatis uniformi II, 3, 8, 9, 40, 13, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21928 <p>corporum projectorum in Mediis re$iftenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21929 bus, agente vi Gravitatis unifor mi II, 4, 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21930 <p>corporum circumgyrantium in Mediis re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21931 $tentibus II, Sect. 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21932 <p>corporum Funependulorum in Mediis re$i-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21933 $tentibus II, Sect. 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21934 <p>Motus & re$i$tentia Fluidorum II, Sect. 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21935 <p>Motus per Fluida propagatus II, Sect. 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21936 <p>Motus circularis $eu Vortico$us Fluidorum II,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21937 Sect. 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21938 <p>Mundus originem non habet ex cau$is Mecha-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21939 nicis p. 482, 12.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21940 <C>N.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21941 <p>Navium con$tructioni Propo$itio non inutilis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21942 300, 4.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21943 <C>O.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21944 <p>Opticarum ovalium inventio quam <I>Carte$ius</I> ce-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21945 laverat I, 97. <I>Carte$iani</I> Problematis genera-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21946 lior $olutio I, 98
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21947 <p>Orbitarum inventio
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21948 <p>quas corpora de$cribunt, de loco dato data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21949 cum velocitate, $ecundum datum rectam
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21950 egre$$a; ubi vis centripeta e$t reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21951 quadratum di$tantiæ & vis illius quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21952 ab$oluta cogno$citur I, 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21953 <p>quas corpora de$cribunt ubi vires centripetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21954 $unt reciproce ut cubi di$tantiarum 45, 18:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21955 118, 27: 125, 25
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21956 <p>quas corpora viribus quibu$cunque centripetis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21957 agitata de$cribunt I, Sect. 8.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21958 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21959 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21960 <C>P.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21961 <p>Parabola, qua lege vis centripetæ tendentis ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21962 umbilicum figuræ, de$cribitur a corpore revol-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21963 vente I, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21964 <p>Pendulorum affectiones explicantur I, 50, 51,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21965 52, 53: II, Sect. 6.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21966 <p>Pendulotum i$ochronorum longitudines diver$æ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21967 in diver$is locorum Latitudinibus inter $e
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21968 con$eruntur, tum per Ob$ervatienes, tum per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21969 Theoriam Gravitatis III, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21970 <p>Philo$ophandi Regulæ p. 357
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21971 <p>Planetæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21972 <p>non deferuntur a Vorticibus corporeis 352,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21973 37: 354, 25: 481, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21974 <p>Primarii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21975 <p>Solem cingunt 360, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21976 <p>moventur in Ellip$ibus umbilicum habenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21977 bus in centro Solis III, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21978 <p>radiis ad Solem ductis de$cribunt areas tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21979 poribus proportionales 361, 15: III, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21980 <p>temporibus periodicis revolvuntur quæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21981 in $e$quiplicata ratione di$tantiarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21982 Sole 360, 17: III, 13 & I, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21983 <p>retinentur in Orbibus $uis a vi Gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21984 quæ re$picit Solem, & e$t reciproce ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21985 quadratum di$tantiæ ab ip$ius centro
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21986 III, 2, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21987 <p>Secundarii
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21988 <p>moventur in Ellip$ibus umbilicum habenti-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21989 bus in centro Primariorum III, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21990 <p>radiis ad Primarios $uos ductis de$cribunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21991 areas temporibus proportionales 359, 3,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21992 22: 361, 27: III, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21993 <p>temporibus periodicis revolvuntur quæ $unt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21994 in $e$quiplicata ratione di$tantiarum a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21995 Primariis $uis 359, 3, 22: III, 22 <*> I, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21996 <p>retinentur in Orbibus $uis a vi Gravitatis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21997 quæ re$picit Primarios, & e$t reciproce
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21998 ut quadratum di$tantiæ ab corum centris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	21999 III, 1, 3, 4, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22000 <p>Planetarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22001 <p>di$tantiæ a Sole 361, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22002 <p>Orbium Aphelia & Nodi prope quie$cunt
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22003 III, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22004 <p>Orbes determinantur III, 15, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22005 <p>loca in Orbibus inveniuntur I, 31
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22006 <p>den$itas calo<*>i quem a Sole recipiunt, ac-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22007 commodatur 372, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22008 <p>conver$iones diurnæ $unt æquabiles III. <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22009 <p>axes $unt minores diametris quæ ad <*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22010 axes normaliter ducuntur III, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22011 <p>Pondera corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22012 <p>in Terram vel Solem vel Planetam quemvis,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22013 paribus di$tantiis ab eorum centris, $unt ut
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22014 quantitates materiæ in corporibus III, 6
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22015 <p>non pendent ab eorum formis & texturis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22016 367, 35
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22017 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22018 <p>in diver$is Terræ regionibus inveniuntur &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22019 inter $e comparantur III, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22020 <p>Problematis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22021 <p><I>Kepleriani</I> $olutio per Trochoidem & per
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22022 Approximationes I, 31
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22023 <p><I>Veterum</I> de quatuor lineis, a <I>Pappo</I> memorati,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22024 a <I>Carte$io</I> par calculum Analyticum tentati,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22025 compo$itio Geometrica 70, 19
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22026 <p>Projectilia, $epo$ita Medii re$i$tentia, moveri in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22027 Parabola colligitur 47, 23: 202, 23: 236, 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22028 <p>Projectilium motus in Mediis re$i$tentibus II,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22029 4, 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22030 <p>Pul$uam Aeris, quibes Soni propagantur, deter-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22031 minantur intervalla $eu latitudines II, 50: 344,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22032 18. Hæc intervalla in apertarum Fi$tularum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22033 $onis æquari duplis longitudinibus Fi$tularum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22034 vero$imile e$t 344, 26
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22035 <C>Q.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22036 <p>Quadratura generalis Ovalium dari non pote$t
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22037 per finitos terminos I, Lem, 28. p. 98
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22038 <p>Qualitates corporum qua ratione innote$cunt &
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22039 admittuntur 357, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22040 <p>Quies vera & relativa p. 6, 7, 8, 9.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22041 <C>R.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22042 <p>Re$i$tentiæ quantitas
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22043 <p>in Mediis non continuis II, 35
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22044 <p>in Mediis continuis II, 38
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22045 <p>in Mediis cuju$cunque generis 302, 32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22046 <p><*> $i$tentiarum Theoria confirmatur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22047 <p>per Experimenta Pendulorum II, 30, 31, S<*>h.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22048 Gen. p. 284
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22049 <p>per Experimenta corporum cadentium II, 40,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22050 Sch. p. 319
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22051 <p>Re$i$tentia Mediorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22052 <p>e$t ut eorundem den$itas, cæteris paribu,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22053 290, 29: 291, 35: II, 33, 35, 38: 327, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22054 <p>e$t in duplicata ratione velocitatis corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22055 quibus re$i$titur, cæteris paribus 219, 24:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22056 284, 33; II, 33, 35, 38: 324, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22057 <p>e$t in duplicata ratione diametri corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22058 Sphæricorum quibus re$i$titur, cæteris pa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22059 ribus 288, 4: 289, 11: II, 33, 35, 38:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22060 Sch. p. 319
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22061 <p>non minuitur ab actione Fluidi in partes po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22062 $ticas corporis moti 312, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22063 <p>Re$i$tentia Fluidorum duplex e$t; oriturque vel
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22064 ab Inertia materiæ fluidæ, vel ab Ela$ticitate,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22065 Tenacitate & Frictione partium ejus 318, 1.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22066 Re$i$tentia quæ $entitur in Fluidis fere tota
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22067 e$t prioris generis 326, 32, & minui non po-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22068 te$t per $ubtilitatem partium Fluidi, manente
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22069 den$itate 328, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22070 <p>Re$i$tentiæ Globi ad re$i$tentiam Cylindri pro-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22071 portio, in Mediis non continuis II, 34
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22072 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22073 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22074 <p>Re$i$tentia quam patitur a Fluido $ru$tum Co-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22075 nicum, qua ratione fiat minima 299, 30
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22076 <p>Re$i$tentiæ minimæ Solidum 300, 15.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22077 <C>S.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22078 <p>Satelliti<*>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22079 <p>Jovialis extimi elongatio maxima heliocentrica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22080 a centro Jovis 370, 35
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22081 <p><I>Hugeniani</I> elongatio maxima heliocentrica a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22082 centro Saturni 371, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22083 <p>Satel<*>itum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22084 <p>Jovialium tempora periodica & di$tantiæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22085 centro Jovis 359, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22086 <p>Saturniorum tempora periodica & di$tantiæ a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22087 centro Saturni 360, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22088 <p>Jorialium & Saturniorum inæquales motus
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22089 a motibus Lanæ derivari po$$e o$$enditur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22090 III, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22091 <p>Saturni
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22092 <p>di$tantia a Sole 361, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22093 <p>$emidiameter apparens 371, 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22094 <p>$emidiameter vera 371, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22095 <p>vis attractiva quanta $it 370, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22096 <p>pondus corporum in ejus $uperficie 371, 19
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22097 <p>den$itas 371, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22098 <p>quantitas materiæ 371, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22099 <p>perturbatio a Jove quanta $it 375, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22100 <p>diameter apparens Annuli quo cingitur 371, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22101 <p>Sectiones Conicæ, qua lege vis centripetæ ten-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22102 dentis ad punctum quodcunque datum, de$cri-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22103 buntur a corporibus revolventibus 58, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22104 <p>Sectionum Conicarum de$criptio Geometrica
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22105 <p>ubi dantur Umbilici I, Sect. 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22106 <p>ubi non dantur Umbilici I, Sect. 5. ubi dan-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22107 tur Centra vel A$ymptoti 87, 9
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22108 <p>Se$quiplicata ratio definitur 31, 40
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22109 <p>Sol
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22110 <p>circum Planetarum omnium commune gravi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22111 tatis centrum movetur III, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22112 <p>$emidiameter ejus mediocris apparens 371, 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22113 <p>$emidiameter vera 371, 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22114 <p>parallaxis ejus horizontalis 370, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22115 <p>parallaxis men$trua 376, 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22116 <p>vis ejus attractiva quanta $it 370, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22117 <p>pondus corporum in ejus $uperficie 371, 19
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22118 <p>den$itas ejus 371, 37
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22119 <p>quantitas mater æ 371, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22120 <p>vis ejus <*> perturbandos motus Lunæ 363,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22121 15: III, 25
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22122 <p>vis ad Mare movendum III, 36
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22123 <p>Soaorum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22124 <p>natura explicatur II, 43, 47, 48, 49, 50
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22125 <p>propagatio divergit a recto tramite 332, 9,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22126 fit per agitationem Aeris 343, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22127 <p>velocitas computo colligitur 343. 8, paulu-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22128 lum major e$$e debet Æ$tivo quam Hyber-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22129 no tempore, per Thecriam 344, 11
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22130 <p>ce$$atio fit $tatim ubi ce$$at motus corporis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22131 $onori 344, 29
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22132 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22133 <p>augmentatio per tubos $tenterophonicos
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22134 344, 32
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22135 <p>Spatium
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22136 <p>ab$olutum & relativum p. 6, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22137 <p>non e$t æqualiter plenum 368, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22138 <p>Sphæroidis attractio, cujus particularum vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22139 $unt reciproce ut quadrata di$tantiarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22140 198, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22141 <p>Spiralis quæ $ecat radios $uos omnes in angulo
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22142 dato, qua lege vis centripetæ tendenti ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22143 centrum Spiralis de$cribi pote$t a corpore
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22144 revolvente, o$tenditur I, 9: II, 15, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22145 <p>Spiritum quendam corpora pervadentem & in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22146 corporibus latentem, ad plurima naturæ phæ-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22147 nomena $olvenda, requiri $uggeritur 484, 17
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22148 <p>Stellarum fixarum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22149 <p>quies demon$tratur 376, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22150 <p>radiatio & $cintillatio quibus cau$is referendæ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22151 $int 467, 38
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22152 <p>Stellæ Novæ unde oriri po$$int 481, 5
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22153 <p>Sub$tantiæ rerum omnium occultæ $unt 483, 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22154 <C>T.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22155 <p>Tempus ab$olutum & relativum p. 5, 7
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22156 <p>Temporis Æquatio A$tronomica per Horol<*>-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22157 gium o$cillatorium & Eclip$es Satellitum Jo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22158 vis comprobatur 7, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22159 <p>Tempora periodica corporum revolventium in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22160 Ellip$ibus, ubi vires centripetæ ad umbilicum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22161 tendunt I, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22162 <p>Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22163 <p>dimen$io per <I>Picartum</I> 378, 11, per <I>Ca$$inum</I>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22164 378, 21, per <I>Norwoodum</I> 378, 28
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22165 <p>figura invenitur, & proportio diametrorum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22166 & men$ura graduum in Meridiano III,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22167 19, 20
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22168 <p>altitudinis ad Æquatorem $upra altitudinem ad
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22169 Polos quantus $it exce$$us 381, 7: 387, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22170 <p>$emidiameter maxima, minima & mediocris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22171 387, 10
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22172 <p>globus den$ior e$t quam $i totus <*> Aqua con-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22173 $taret 372, 31
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22174 <p>globus den$ior e$t ad centrum quam ad $uper-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22175 ficiem 386, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22176 <p>molem indies augeri vero$imile e$t 473, 18
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22177 481, 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22178 <p>axis nutatio III, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22179 <p>motus annuus in Orbe magno demon$tratur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22180 III, 12, 13: 478, 26
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22181 <p>Eccentricitas quanta $it 421, 15
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22182 <p>Aphelii motus quantus $it 376, 33.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22183 <C>V.</C>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22184 <p>Vacuum datur, vel $patia omnia ($i dicantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22185 e$$e plena) non $unt æqualiter plena 328, 18:
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22186 368, 25
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22187 <pb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22188 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22189 <p>Velo<*>itas maxima quam Globus, in Medio re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22190 $i$tente cadendo, pote$t acquirere II, 38,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22191 Cor. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22192 <p>Velocitates corporum in Sectionibus conicis mo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22193 torum, ubi vires centripetæ ad umbilicum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22194 tendunt I, 16
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22195 <p>Veneris
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22196 <p>di$tantia a Sole 361, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22197 <p>tempus periodicum 370, 23
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22198 <p>Aphelii motus 376, 33
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22199 <p>Virium compo$itio & re$olutio p. 14
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22200 <p>Vires attractivæ corporum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22201 <p>$phæricorum ex particulis quacunque lege
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22202 trahentibus compo$it<*>um, expenduntur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22203 I, Sect. 12
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22204 <p>non $phæricorum ex particulis quacunque
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22205 lege trahentibus compo$itorum, expendun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22206 tur I, Sect. 13
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22207 <p>Vis centrifuga corporum in Æquatore Terræ
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22208 quanta $it 379. 22
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22209 <p>Vis centripeta de$initur p. 2
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22210 <p>quantitas ejus ab$oluta definitur p. 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22211 <p>quantitas acceleratrix definitur, p. 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22212 <p>quantitas mot<*>x definitur p. 4
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22213 <p>proportio ejus ad vim quamlibet notam, qua
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22214 ratione colligenda $it, o$tenditur 40, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22215 <p>Virium centripetarum inventio, ubi corpus in
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22216 $patio non re$i$tente, circa c<*>rum immo-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22217 bile, in Orbe quocunque revoi<*>itur I, 6: I,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22218 Sect. 2 & 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22219 <p>Viribus centripetis datis ad quodcunque pun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22220 ctum tendentibus, quibus Figura quævis a
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22221 <cb>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22222 corpore revolvente de$cribi pote$t; dantur
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22223 vires centripetæ ad aliud quodvis punctum
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22224 tendentes, quibus eadem Figura eodem tem-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22225 pore periodico de$cribi pote$t 44, 3
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22226 <p>Viribus centripetis datis quibus Figura qurvis
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22227 de$cribitur a corpore revolvente; dantur vires
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22228 quibus Figura nova de$cribi pote$t, $i Ordi-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22229 natæ augeantur vel minuantur in ratione qua-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22230 cunque data, vel angulus Ordinationis utcun-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22231 que mutetur, manente tempore periodico
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22232 47, 28
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22233 <p>Viribus centripetis in duplicata ratione di$tantia-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22234 rum decre$centibus, quænam Figura de$cribi
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22235 po$$unt, o$tenditur 53, 1: 150, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22236 <p>Vicentripeta
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22237 <p>quæ $it reciproce ut cubus ordinatim applica-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22238 tæ tendentis ad centrum virium maxime
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22239 longinquum, corpus movebitur in data
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22240 quavis coni $ectione 45, 1
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22241 <p>quæ $it ut cubus ordinatim applicatæ tenden-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22242 tis ad centrum virium maxime longinquum,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22243 corpus movebitur in Hyperbola 202, 26
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22244 <p>Umbra Terre$tris in Eclip$ibus Lunæ augenda e$t,
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22245 propter Atmo$phæræ refractionem 425, 27
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22246 <p>Umbræ Terre$tris dian etri non $unt æquales;
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22247 quanta $it differentia o$tenditur 387, 8
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22248 <p>Undarum in aquæ $tagtantis $uperficie propa-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22249 gatarum velocitas invenitur II, 46
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22250 <p>Vorticum natura & con$titutio ad examen re-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22251 vocatur II, Sect. 9: 481, 21
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22252 <p><I>Ut.</I> Hujus voculæ fignificatio Mathematica de-
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22253 fiuitur 30, 19.
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/ casties parents: diff changeset	22254 <C><I>FINIS.</I></C>

Mercurial > hg > mpdl-xml-content

annotate texts/archimedesOldCVSRepository/archimedes/raw/newto_philo_01_la_1713.raw @ 10:d7b79f6537bb