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Removing DESpecs directory which deserted to git
| author | Klaus Thoden <kthoden@mpiwg-berlin.mpg.de> |
|---|---|
| date | Wed, 29 Nov 2017 16:55:37 +0100 |
| parents | 22d6a63640c6 |
| children |
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<?xml version="1.0" encoding="utf-8"?><echo xmlns="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:de="http://www.mpiwg-berlin.mpg.de/ns/de/1.0/" xmlns:dcterms="http://purl.org/dc/terms" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:echo="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.0RC"> <metadata> <dcterms:identifier>ECHO:PUBSU9QD.xml</dcterms:identifier> <dcterms:creator identifier="GND:118645455">Apian, Petrus</dcterms:creator> <dcterms:title xml:lang="la">Cosmographia</dcterms:title> <dcterms:date xsi:type="dcterms:W3CDTF">1550</dcterms:date> <dcterms:language xsi:type="dcterms:ISO639-3">lat</dcterms:language> <dcterms:rights>CC-BY-SA</dcterms:rights> <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license> <dcterms:rightsHolder xlink:href="http://www.mpiwg-berlin.mpg.de">Max Planck Institute for the History of Science, Library</dcterms:rightsHolder> <parameters>despecs = 1.1.2</parameters> <log>NB line numbers in log are approximations! replaced ɔt̀ in line 164 with ct fig tag in line 646 was moved there from the middle of line 645 Beachte: "fig" wie in DESpecs 2.0, nicht wie in 1.1.2 ! (Schummel: alle "col" raus) handwritten wohl nicht in note erlaubt </log> </metadata> <text xml:lang="la" type="free"> <div xml:id="echoid-div1" type="section" level="1" n="1"><pb file="001" n="1"/> <pb file="002" n="2"/> <handwritten/> <pb file="003" n="3"/> <handwritten/> </div> <div xml:id="echoid-div2" type="section" level="1" n="2"> <head xml:id="echoid-head1" style="it" xml:space="preserve">COSMOG RAPHIA</head> <head xml:id="echoid-head2" style="it" xml:space="preserve">PETRI APIANI, PER GEMMAM FRISIVM <lb/>apud Louanienſes Medicum & Mathematicum inſ<gap/> <lb/>iam demum ab omnibus vindicata mendis<gap/> <lb/>nullis quoq; locis aucta. Additis eiuſde<gap/> <lb/>menti libellis ipſius Gemmæ Fr<gap/></head> <figure> <image file="003-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/003-01"/> <caption xml:id="echoid-caption1" style="it" xml:space="preserve">V æniunt Antuerpiœ ſub ſcuto Baſilienſi, Gregorio Bontio. <lb/>M. D. L.</caption> </figure> <pb file="004" n="4"/> <handwritten/> </div> <div xml:id="echoid-div3" type="section" level="1" n="3"> <head xml:id="echoid-head3" xml:space="preserve">Contenta in hoc libro.</head> </div> <div xml:id="echoid-div4" type="section" level="1" n="4"> <head xml:id="echoid-head4" xml:space="preserve">PETRI APIANI</head> <p> <s xml:id="echoid-s1" xml:space="preserve"><gap/>Liber Coſmographicus de principiis Aſtrologiæ <lb/><gap/>Coſmographiæ.</s> <s xml:id="echoid-s2" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3" xml:space="preserve"><gap/>partilis deſcriptio quatuor partium terræ, <lb/><gap/>Europæ, Aſiæ, Africæ, & </s> <s xml:id="echoid-s4" xml:space="preserve">Americæ. </s> <s xml:id="echoid-s5" xml:space="preserve">Cui ad-<lb/><gap/>ſcriptio regionis Peru nuper inuentæ. <lb/></s> <s xml:id="echoid-s6" xml:space="preserve"><gap/>horarum noctis obſeruatione.</s> <s xml:id="echoid-s7" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div5" type="section" level="1" n="5"> <head xml:id="echoid-head5" xml:space="preserve"><gap/>GEMMÆ FRISII</head> <p> <s xml:id="echoid-s8" xml:space="preserve"><gap/>m deſcribendorum ratione, <lb/><gap/>ſtantiis eorum inueniendis. <lb/></s> <s xml:id="echoid-s9" xml:space="preserve"><gap/>dem Gemmæ Friſii de vſu annuli Aſtronomici, <lb/><gap/>multis locis recenter aucti.</s> <s xml:id="echoid-s10" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div6" type="section" level="1" n="6"> <head xml:id="echoid-head6" style="it" xml:space="preserve">DIDACI PYRRHI LVSI-<lb/>TANI CARMEN.</head> <p style="it"> <s xml:id="echoid-s11" xml:space="preserve">VIS vrbes, vis mille locos, vis oppida mille, <lb/>Omnia non magno clauſa videre libro?</s> <s xml:id="echoid-s12" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s13" xml:space="preserve">Vis quo ſcire loco, vel qua regione moretur <lb/>Perſa, Brabantinum dum colis ipſe ſolum, <lb/>Perſa, vel Hyrcanus, vel picto nobilis arcu <lb/>Parthus, & </s> <s xml:id="echoid-s14" xml:space="preserve">in refugo Turca ſuperbus equo? <lb/></s> <s xml:id="echoid-s15" xml:space="preserve">Vis etiam terræ tractus, cœliq́ue meatus, <lb/>Claráque ſtellifero ſigna notare polo? </s> <s xml:id="echoid-s16" xml:space="preserve"><lb/>Vis tibi theſaurum magnum paruo ære redemptum? </s> <s xml:id="echoid-s17" xml:space="preserve"><lb/>Hoc eme, & </s> <s xml:id="echoid-s18" xml:space="preserve">aßiduè perlege lector opus.</s> <s xml:id="echoid-s19" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div7" type="section" level="1" n="7"> <head xml:id="echoid-head7" style="it" xml:space="preserve">DISTICHON.</head> <p style="it"> <s xml:id="echoid-s20" xml:space="preserve">Exiguo vaſtum ſpacio luſtrarier orbem <lb/>Hic dabitur, vili candida res precio.</s> <s xml:id="echoid-s21" xml:space="preserve"/> </p> <handwritten/> <pb file="005" n="5"/> </div> <div xml:id="echoid-div8" type="section" level="1" n="8"> <head xml:id="echoid-head8" xml:space="preserve">R. D. ET ILLVST. PRINCIPI, <lb/>D. Matthæo, M. Diuina Sacroſanctæ Rho. Ec-<lb/>cleſiæ Tit.S. Angeli Preſ. Card. Archiepiſco <lb/>po Saltzburgeñ, Ap. Sed. Legato. &c. Petrus <lb/>Apianus (dictus Benewitz) ex Leyſnick <lb/>Mathematicæ diſciplinæ clientu-<lb/>lus, Salutem perpetuam ac ſui <lb/>ipſius commenda <lb/>tionem.</head> <p style="it"> <s xml:id="echoid-s22" xml:space="preserve">POſteaquam anno ſuperiori Sacratiſs. </s> <s xml:id="echoid-s23" xml:space="preserve">Antiſtes, atque <lb/>Princeps Illuſtriſsime, in vrbe Reginopolitana cum <lb/>chartaceo munu<unsure/>ſculo (nihil equidem illo tempore pre-<lb/>cioſius afferre potui) tuam celſitudinem ſum congreſ-<lb/>ſus, non difſicilis erat mihi coniectatio, præſignem Ma <lb/>thematicæ diſciplinæ tibi adeſſe ſcientiam, & </s> <s xml:id="echoid-s24" xml:space="preserve">te cla-<lb/>riſsimum rei literariæ lumen, Mecœnatem atque aſy-<lb/>lum, & </s> <s xml:id="echoid-s25" xml:space="preserve">tuum etiam ad literas ſtudium cognoui. </s> <s xml:id="echoid-s26" xml:space="preserve">Eo ſiquidem argumento, <lb/>quòd fronte inſigniter exporrecta atque ſerena, obuijsq́ue (vt aiunt) mani-<lb/>bus illam quam obtuli membranam, tam humaniter, tum ob ſtudij Geogra-<lb/>phicæ diſciplinæ amorem, cùm ob vitæ tuæ integritatem exceperas, vel eò po <lb/>tius, vt omittam cætera, quòd iampridem M. </s> <s xml:id="echoid-s27" xml:space="preserve">Ioannes Auentinus mihi ſem-<lb/>per amiciſsimus, tam Oratorum quàm Poëtarum facilè princeps, cuius lau-<lb/>dem hic tacitus præterire non poſſum: </s> <s xml:id="echoid-s28" xml:space="preserve">& </s> <s xml:id="echoid-s29" xml:space="preserve">V. </s> <s xml:id="echoid-s30" xml:space="preserve">D. </s> <s xml:id="echoid-s31" xml:space="preserve">Ioannes Landtſperger (cui <lb/>ſemper es in ore) Plebanus Landtſuteñ, Illuſtriſsimiq́ue Ludouict Bau<unsure/>ariæ <lb/>vtriuſque Ducis, Præfect. </s> <s xml:id="echoid-s32" xml:space="preserve">Rheni &</s> <s xml:id="echoid-s33" xml:space="preserve">c. </s> <s xml:id="echoid-s34" xml:space="preserve">Sacellanus, vir ſui ingenij virtute <lb/>præſtantiſsimus, cui gratias condignas nec agere, nec referre poſſum, ſa<unsure/>pius <lb/>apud me tuam deprædicarent liberalitatem in doctos, humanitatemq́ue in o-<lb/>mnes qui conantur aliquod egregium, præcipuè in illos qui Mathematicæ di-<lb/>ſciplinæ ſcientiam redolere videntur, facilitatem & </s> <s xml:id="echoid-s35" xml:space="preserve">in omnes, non potui com <lb/>mittere, quin tibi id, q@icquid eſt lucubrationis, tanquam Deo tutelari dedi-<lb/>carem, & </s> <s xml:id="echoid-s36" xml:space="preserve">tuo ſub nonune ædere conſtituerem, quò tutius celerius q́ue tuo au-<lb/>ſpicio in communem ſtudioſorum commoditatem prodiret in publicum. </s> <s xml:id="echoid-s37" xml:space="preserve">Po-<lb/>tiſsimum, vt prima elementa ſtudioſis Geographiæ tyrunculis notiora redde-<lb/>rentur, hoc opuſculum vtcunque conflatum conſcripſimus. </s> <s xml:id="echoid-s38" xml:space="preserve">Verùm non ſine <lb/>laude Piolomæi, qui omnium Mathematicorum facilè princeps habetur. </s> <s xml:id="echoid-s39" xml:space="preserve">Se-<lb/>quuti enim ſumus doctiſsimos quoſque huius ſtudij viros. </s> <s xml:id="echoid-s40" xml:space="preserve">Porro Geographi-<lb/>ca profeſsio in legendis autoribus plurimum prodeſt, eius enim cognitio non <lb/>ſolum ad Poetarum, Hiſtoricorum, ſed etiam ſacrarum literarum noticiam <lb/>perducit. </s> <s xml:id="echoid-s41" xml:space="preserve">Vt doctiſsimus ille Ptolomæus omnium Mathematicorum monar-<lb/>cha, Pomponius Mela, Dionyſius, Solinus, veriſsimus ille Strabo, Eneas <pb file="006" n="6"/> Siluius, Volaterranus, Oroſius, reliquiq́ue Geographi teſtantur. </s> <s xml:id="echoid-s42" xml:space="preserve">Accipe <lb/>igitur Antiſtes eminentiſsime, hoc Coſmographicum opus à nobis fideliter <lb/>eaq́ue conſummatione ſupputatum, qua in Ptolomæi opere legi ſolet: </s> <s xml:id="echoid-s43" xml:space="preserve">quòd <lb/>ſi pius Lector diligenti ſ<unsure/>tudio perlegerit, haud parum fructus Geographicæ <lb/>diſciplinæ ſe attigiſſe ſumma animi gratitudine profitebitur. </s> <s xml:id="echoid-s44" xml:space="preserve">Hic ea, quæ ali-<lb/>bi ſparſim à doctiſsimis ingenijs elucubrata ſunt, ſub quodam compendio col-<lb/>legimus. </s> <s xml:id="echoid-s45" xml:space="preserve">Operæprecium itaque duxi fore, ſi in vno volumine totius mundi <lb/>obſeruatio complecteretur, ne propter nimiam prolixitatem & </s> <s xml:id="echoid-s46" xml:space="preserve">obſcuritatem, <lb/>Tyrunculus Geographicæ profeſsionis tædio quopiam irretitus teneatur, <lb/>vel potius, ne quis pauperculus propter librorum multitudinem, at que ope-<lb/>ris Ptolomæi ac pretij magnitudinem abſterreatur. </s> <s xml:id="echoid-s47" xml:space="preserve">Nihil hic meam ipſius <lb/>eruditionem aut ingenium iactito: </s> <s xml:id="echoid-s48" xml:space="preserve">nam res eſt huiuſmodi, quæ ipſa ſeſe vel <lb/>approbet vcl explodat. </s> <s xml:id="echoid-s49" xml:space="preserve">Equidem ſpero, te nibil hic innenturum, quod alie-<lb/>num ſit à Coſmographica profeſsione. </s> <s xml:id="echoid-s50" xml:space="preserve">Certe ſatis pro virili conatus ſum, <lb/>quò ad abſolutiſsimam Coſmographiæ cognitionem, atque adeò videor mi-<lb/>hi ſatis feciſſe hac in re, @@xta illud Poeticum: </s> <s xml:id="echoid-s51" xml:space="preserve">In magnis & </s> <s xml:id="echoid-s52" xml:space="preserve">voluiſſe ſat eſt. <lb/></s> <s xml:id="echoid-s53" xml:space="preserve">Tu interim landatiſsime Præſul, laborem hunc, qualiſcunque ſit, bono ani-<lb/>mo pietati tuæ à me dedicari patiaris. </s> <s xml:id="echoid-s54" xml:space="preserve">Non eſt nouum, ſed & </s> <s xml:id="echoid-s55" xml:space="preserve">antiquorum <lb/>ſcriptores ſolebant (vt omnibus perſpectum eſt) ad nouos libellos patronos <lb/>eligere, quorum auſpicio ipſis libris quoddam robur atq; </s> <s xml:id="echoid-s56" xml:space="preserve">auctoritas accederet, <lb/>quod in hac re & </s> <s xml:id="echoid-s57" xml:space="preserve">me opinor haud improbè feciſſe, iuxta ſenten-<lb/>tiam Plinianam, Multa valde precioſa videntur, quia Tem-<lb/>plis ſunt dicata. </s> <s xml:id="echoid-s58" xml:space="preserve">Vale doctiſsime Princeps, integritate <lb/>& </s> <s xml:id="echoid-s59" xml:space="preserve">morum & </s> <s xml:id="echoid-s60" xml:space="preserve">virtutum Præſul ornatiſsime. </s> <s xml:id="echoid-s61" xml:space="preserve">Ingenij <lb/>mei laborem admodum pertenuem, hilari fronte <lb/>ſuſcipito: </s> <s xml:id="echoid-s62" xml:space="preserve">propediem maiora quæpiam ſub <lb/>tuo Titulo in publicum ædita, Mu-<lb/>ſis bene iuuantibus, à nobis acce-<lb/>pturus. </s> <s xml:id="echoid-s63" xml:space="preserve">Vale iterum, docto-<lb/>rum virorum dulce præ-<lb/>ſidium: </s> <s xml:id="echoid-s64" xml:space="preserve">meq́ue com <lb/>mendatum <lb/>habe.</s> <s xml:id="echoid-s65" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s66" xml:space="preserve">Ex fœlici Landiſuta, Anno M. </s> <s xml:id="echoid-s67" xml:space="preserve">D. </s> <s xml:id="echoid-s68" xml:space="preserve">XXIIII. <lb/></s> <s xml:id="echoid-s69" xml:space="preserve">Septimo Calend. </s> <s xml:id="echoid-s70" xml:space="preserve">Februarias.</s> <s xml:id="echoid-s71" xml:space="preserve"/> </p> <pb o="Fo.1." file="007" n="7"/> </div> <div xml:id="echoid-div9" type="section" level="1" n="9"> <head xml:id="echoid-head9" style="it" xml:space="preserve">Prima pars huius libri <lb/>de Coſmographiæ & <lb/>Geographiœ <lb/>principijs.</head> <head xml:id="echoid-head10" style="it" xml:space="preserve">QVID SIT COSMOGRAPHIA, <lb/>Et quo differat à Geographia & Chorographia. <lb/>CAPVT PRIMVM.</head> <p> <s xml:id="echoid-s72" xml:space="preserve">COſmographia (vt ex etymo vocabuli pa-<lb/>tet) eſt mundi, qui ex quatuor elementis, <lb/>Terra, Aqua, Aëre, & </s> <s xml:id="echoid-s73" xml:space="preserve">Igne, Sole quoque, Lu <lb/>na, & </s> <s xml:id="echoid-s74" xml:space="preserve">omnibus ſtellis conſtat, & </s> <s xml:id="echoid-s75" xml:space="preserve">quicquid <lb/>cœli circumflexu tegitur, deſcriptio. </s> <s xml:id="echoid-s76" xml:space="preserve">Impri-<lb/>mis enim contemplatur Circulos, ex quibus <lb/>illa ſupercœleſtis Sphæra componi intelli-<lb/>gitur. </s> <s xml:id="echoid-s77" xml:space="preserve">Deinde ex ipſorum diſtinctione, ter-<lb/>rarũ illis ſubiectarum ſitus, & </s> <s xml:id="echoid-s78" xml:space="preserve">locorum ſym <lb/>metriam ſeu commenſurationẽ, Rationem inſuper Climatum, Die-<lb/>rum, Noctiumq́ue diuerſitates, Quatuor mundi Cardines, Stellarum <lb/>quoque fixarum necnon errantium Motus, Ortus, & </s> <s xml:id="echoid-s79" xml:space="preserve">Occaſus, & </s> <s xml:id="echoid-s80" xml:space="preserve">qui <lb/>bus verticales mouentur, & </s> <s xml:id="echoid-s81" xml:space="preserve">quæcunque ad cœli rationem pertinent, <lb/>vt Poli eleuationes, Paralelos, & </s> <s xml:id="echoid-s82" xml:space="preserve">Meridianos circulos, & </s> <s xml:id="echoid-s83" xml:space="preserve">cætera iuxta <lb/>Mathematicas oſtenſiones demõſtrat. </s> <s xml:id="echoid-s84" xml:space="preserve">Et à Geographia differt, quia <lb/>terram diſtinguit tantùm per Circulos cœli, non per montes, maria, <lb/>& </s> <s xml:id="echoid-s85" xml:space="preserve">flumina, &</s> <s xml:id="echoid-s86" xml:space="preserve">c.</s> <s xml:id="echoid-s87" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s88" xml:space="preserve">¶De hac re ſume ſequentem deliniatam formulam, <lb/>hoc enim Typo totius Coſmographiæ <lb/>deſcriptio demonſtratur.</s> <s xml:id="echoid-s89" xml:space="preserve"/> </p> <pb file="008" n="8"/> <figure> <image file="008-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/008-01"/> <caption xml:id="echoid-caption2" xml:space="preserve">PRIMA PARS COSMO</caption> </figure> </div> <div xml:id="echoid-div10" type="section" level="1" n="10"> <head xml:id="echoid-head11" style="it" xml:space="preserve">GEOGR APHIA QVID.</head> <p> <s xml:id="echoid-s90" xml:space="preserve">GEographia (vt Vernerus in paraphraſi ait) eſt telluris <lb/>ipſius præcipuarum ac cognitarum partium, quatenus <lb/>ex eis totus cognitusq́; </s> <s xml:id="echoid-s91" xml:space="preserve">terrarum orbis conſtituitur, & </s> <s xml:id="echoid-s92" xml:space="preserve"><lb/>inſigniorum quorumlibet, quæ huiuſmodi telluris par <lb/>tibus cohærent, formula quædam ac picturæ imitatio. <lb/></s> <s xml:id="echoid-s93" xml:space="preserve">Et à coſinographia differt, quia terram diſtinguit per montes, flu-<lb/>uios, & </s> <s xml:id="echoid-s94" xml:space="preserve">maria, aliaq́; </s> <s xml:id="echoid-s95" xml:space="preserve">inſigniora, nulla adhibita circulorum ratione. </s> <s xml:id="echoid-s96" xml:space="preserve"><lb/>lisq́; </s> <s xml:id="echoid-s97" xml:space="preserve">maxime prodeſt, qui adamuſſim rerum geſtarum & </s> <s xml:id="echoid-s98" xml:space="preserve">fabularũ <lb/>peritiam habere defyderant. </s> <s xml:id="echoid-s99" xml:space="preserve">Pictura enim ſeu picturę imitatio, or-<lb/>dinem ſitumq́ue locorum ad memoriam facillime ducit. </s> <s xml:id="echoid-s100" xml:space="preserve">Confum-<lb/>matio itaque & </s> <s xml:id="echoid-s101" xml:space="preserve">finis Geograph@æ, totius orbis terrarum conſtat in-<lb/>tuitu, illorum imitatione, qui integram capitis ſimilitudinem ido-<lb/>neis picturis effingunt.</s> <s xml:id="echoid-s102" xml:space="preserve"/> </p> <pb o="Fo.2." file="009" n="9" rhead="GRAPH. PETRIAP."/> <figure> <image file="009-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/009-01"/> <caption xml:id="echoid-caption3" style="it" xml:space="preserve">Geographia.</caption> </figure> <figure> <image file="009-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/009-02"/> <caption xml:id="echoid-caption4" style="it" xml:space="preserve">Eius ſimilitudo.</caption> </figure> </div> <div xml:id="echoid-div11" type="section" level="1" n="11"> <head xml:id="echoid-head12" style="it" xml:space="preserve">CHOROGRAPHIA QVID.</head> <p> <s xml:id="echoid-s103" xml:space="preserve">CHorographia autem (Vernero dicente) quæ & </s> <s xml:id="echoid-s104" xml:space="preserve">Topo-<lb/>graphia dicitur, partialia quædam loca ſeorſum & </s> <s xml:id="echoid-s105" xml:space="preserve">ab-<lb/>ſolutè conſiderat, abſque eorum ad ſeinuicem, & </s> <s xml:id="echoid-s106" xml:space="preserve">ad v-<lb/>niuerſum telluris ambitum compatatione. </s> <s xml:id="echoid-s107" xml:space="preserve">Omnia ſi-<lb/>quidem, ac ferè minima in eis contenta<unsure/> tradit & </s> <s xml:id="echoid-s108" xml:space="preserve">proſe <lb/>quitur. </s> <s xml:id="echoid-s109" xml:space="preserve">Velut portus, villas, populos, riuulornm quoque decurſus, <lb/>& </s> <s xml:id="echoid-s110" xml:space="preserve">quęcunque alia illis finitima, vt ſunt ædificia, domus, turres, mœ-<lb/>nia, &</s> <s xml:id="echoid-s111" xml:space="preserve">c. </s> <s xml:id="echoid-s112" xml:space="preserve">Finis verò eiuſdem in effigienda partilius loci ſimilitudine <lb/>conſummabitur: </s> <s xml:id="echoid-s113" xml:space="preserve">veIuti ſi pictor aliquis aurem tantùm aut oculum <lb/>deſignaret depingeretq́;</s> <s xml:id="echoid-s114" xml:space="preserve">.</s> </p> <figure> <image file="009-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/009-03"/> <caption xml:id="echoid-caption5" style="it" xml:space="preserve">Chorographia.</caption> </figure> <figure> <image file="009-04" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/009-04"/> <caption xml:id="echoid-caption6" style="it" xml:space="preserve">Eius ſimilitudo.</caption> </figure> <pb file="010" n="10" rhead="PRIMA PARS COSMO"/> <p> <s xml:id="echoid-s115" xml:space="preserve">ANtequam quis ipſius Coſmographiæ ſtudium aggre-<lb/>diatur, fundamentum imprimis, ſeu Aſtronomiæ prin-<lb/>cipia, quæ ſunt Circulorum Sphæræ noticia, quibus to <lb/>ta vtitur Coſimographia, diſquirat neceſſe eſt. </s> <s xml:id="echoid-s116" xml:space="preserve">Quod in <lb/>ſequentibus quambreuiſſime manifeſtabitur.</s> <s xml:id="echoid-s117" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div12" type="section" level="1" n="12"> <head xml:id="echoid-head13" style="it" xml:space="preserve">DE MOTV SPHÆRARVM, <lb/>Cœlorumq́ue diuiſione.</head> <head xml:id="echoid-head14" style="it" xml:space="preserve">CAP. II.</head> <p> <s xml:id="echoid-s118" xml:space="preserve">MVndus bifariam diuiditur, in Elemen <lb/>tarem regionem, & </s> <s xml:id="echoid-s119" xml:space="preserve">Ætheream. </s> <s xml:id="echoid-s120" xml:space="preserve">Ele-<lb/>mentaris quidem aſſiduè alterationi <lb/>ſubiecta, quatuor Elementa, Terram, <lb/>Aquam, Aërem, & </s> <s xml:id="echoid-s121" xml:space="preserve">Ignem, continet. <lb/></s> <s xml:id="echoid-s122" xml:space="preserve">Ætherea autem regio (quam Philo-<lb/>ſophi quintam nuncupãt eſſentiam) <lb/>elementarem ſua concauitate ambit, <lb/>inuariabilisq́ue ſubſtantia ſemperma <lb/>nens, decem Sphæras complectitur. </s> <s xml:id="echoid-s123" xml:space="preserve"><lb/>Quarum maior ſemper proximam minorem ſphæricè (eo quo ſe-<lb/>quitur ordine) circundat. </s> <s xml:id="echoid-s124" xml:space="preserve">Imprimis igitur circa Sphæram ignis, <lb/>Deus mundi opifex locauit ſphærulam Lunæ: </s> <s xml:id="echoid-s125" xml:space="preserve">Deinde Mercuria-<lb/>lem: </s> <s xml:id="echoid-s126" xml:space="preserve">Poſtea Veneream, Solarem: </s> <s xml:id="echoid-s127" xml:space="preserve">Deinde Martiam, Iouiam, & </s> <s xml:id="echoid-s128" xml:space="preserve">Sa-<lb/>turniam: </s> <s xml:id="echoid-s129" xml:space="preserve">quælibet autem iſtarum vnicam tantũ habet ſtellam: </s> <s xml:id="echoid-s130" xml:space="preserve">quæ <lb/>quidem ſtellæ Zodiacum metientes, ſemper primo mobili, ſeu de-<lb/>cimæ ſphæræ motui obnituntur, alioqui ſunt corpora diaphona, <lb/>hoc eſt, omnino perlucida. </s> <s xml:id="echoid-s131" xml:space="preserve">Mox ſequitur firmamentum, quod ſtel-<lb/>lifera ſphæra eſt, quæq́ue in duobus paruis circulis circa principia <lb/>Arietis & </s> <s xml:id="echoid-s132" xml:space="preserve">Libræ nonæ ſphæræ, trepidat: </s> <s xml:id="echoid-s133" xml:space="preserve">& </s> <s xml:id="echoid-s134" xml:space="preserve">iſte motus apud Aſtrono <lb/>mos, motus, acceſſus & </s> <s xml:id="echoid-s135" xml:space="preserve">receſſus ſtellarum fixarum appellatur. </s> <s xml:id="echoid-s136" xml:space="preserve">Illam <lb/>circundat nona ſphæra, quæ quum nulla in ea ſtellarum cernitur, <lb/>cœlum cryſtallinum ſeu aqueum appellatur. </s> <s xml:id="echoid-s137" xml:space="preserve">Iſtas tandem æthereas <lb/>ſphæras, Primum mobile, quod & </s> <s xml:id="echoid-s138" xml:space="preserve">decimum cœlum dicitur, ſuo am-<lb/>bitu amplectitur, & </s> <s xml:id="echoid-s139" xml:space="preserve">continuè ſuper polos mundi ſemel facta reuo-<lb/>lutione in. </s> <s xml:id="echoid-s140" xml:space="preserve">24. </s> <s xml:id="echoid-s141" xml:space="preserve">horarum interuallo, a<unsure/>b ortu per meridiem in occa-<lb/>ſum, iterum in orientem recurrendo rotatur. </s> <s xml:id="echoid-s142" xml:space="preserve">Et omnes in feriores <lb/>ſphæras ſuo impetu ſimul circumuoluit, nullaq́ue in eo exiſtit ſtel-<lb/>la. </s> <s xml:id="echoid-s143" xml:space="preserve">Huic cæterarum ſphærarum motus ab occaſu per meridiem in or <lb/>tum currentes, reluctantur. </s> <s xml:id="echoid-s144" xml:space="preserve">Vltra hunc quicquid eſt, immobile eſt, <lb/>& </s> <s xml:id="echoid-s145" xml:space="preserve">Empyreum cœlum (quem Deus cum electis inhabitat) noſtræ <lb/>orthodoxæ fidei profeſſores eſſe affirmant.</s> <s xml:id="echoid-s146" xml:space="preserve"/> </p> <pb o="Fo.3." file="011" n="11" rhead="GRAPH. PETRI AP."/> <figure> <image file="011-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/011-01"/> <caption xml:id="echoid-caption7" xml:space="preserve">Schema præmiſſæ diuiſionis.</caption> </figure> </div> <div xml:id="echoid-div13" type="section" level="1" n="13"> <head xml:id="echoid-head15" style="it" xml:space="preserve">DE CIRCVLIS SPHÆRÆ. <lb/>CAP. III.</head> <pb file="012" n="12" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div14" type="section" level="1" n="14"> <head xml:id="echoid-head16" style="it" xml:space="preserve">QVID SPHÆRA.</head> <p> <s xml:id="echoid-s147" xml:space="preserve">SPhæra eſt ſolidum quoddam, vna ſuperficie con <lb/>tentũ, in cuius medio punctus eſt, à quo omnes <lb/>lineæ ad circumferentiam ductæ, ſunt æquales.</s> <s xml:id="echoid-s148" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div15" type="section" level="1" n="15"> <head xml:id="echoid-head17" style="it" xml:space="preserve">¶ Quid axis Sphæræ.</head> <p> <s xml:id="echoid-s149" xml:space="preserve">AXis Sphæræ (auctore Diodocho) voca-<lb/>tur dimetiens ipſius, circa quam voluitur. <lb/></s> <s xml:id="echoid-s150" xml:space="preserve">Poli mundi (qui & </s> <s xml:id="echoid-s151" xml:space="preserve">cardines, & </s> <s xml:id="echoid-s152" xml:space="preserve">vertices dicuntur) ſunt extrema <lb/>puncta, axem terminantia. </s> <s xml:id="echoid-s153" xml:space="preserve">Horum alter Septentrionalis, alter Au-<lb/>ſtrinus dicitur. </s> <s xml:id="echoid-s154" xml:space="preserve">Septentrionalis, qui & </s> <s xml:id="echoid-s155" xml:space="preserve">Arcticus, Borealis, & </s> <s xml:id="echoid-s156" xml:space="preserve">Aqui-<lb/>lonarius dicitur, ſemper in noſtra habitatione apparet. </s> <s xml:id="echoid-s157" xml:space="preserve">Auſtrinus <lb/>verò, qui Meridionalis & </s> <s xml:id="echoid-s158" xml:space="preserve">Antarcticus dicitur, ſemper quoad no-<lb/>ſtrum hemiſphærium ſub horizonte latet.</s> <s xml:id="echoid-s159" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div16" type="section" level="1" n="16"> <head xml:id="echoid-head18" style="it" xml:space="preserve"><emph style="bf">Deſex circulis ſphæræ</emph> <lb/>MAIORIBVS.</head> <p> <s xml:id="echoid-s160" xml:space="preserve">HOrizon (quem & </s> <s xml:id="echoid-s161" xml:space="preserve">Finitorem dicimus) eſt circulus, qui <lb/>partem mundi viſam à non viſa dirimit, hoc eſt, infe-<lb/>rius hemiſphærium à ſuperiori.</s> <s xml:id="echoid-s162" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s163" xml:space="preserve">MEridianus circulus eſt, qui per polos mundi, & </s> <s xml:id="echoid-s164" xml:space="preserve">punctum ver <lb/>ticalem ducitur, in quem cum ſol incidit ſupra horizontem, <lb/>meridiem: </s> <s xml:id="echoid-s165" xml:space="preserve">ſub horizonte verò, mediam noctem efficit.</s> <s xml:id="echoid-s166" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s167" xml:space="preserve">ÆQuinoctialis eſt circulus maior, diuidens Sphæram in duas <lb/>partes ęquales, quem cùm ſol perambulat (quod bis contin <lb/>git in anno) dies fiunt ęquales nocti, in toto terrarum orbe.</s> <s xml:id="echoid-s168" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s169" xml:space="preserve">ZOdiacus circulus, qui à Philoſopho Obliquus dicitur, is eſt, <lb/>qui duodecim continet ſigna, compræhendens ex vna par-<lb/>te circulum Cancri, & </s> <s xml:id="echoid-s170" xml:space="preserve">ex alia Capricorni, ac per medium ſe <lb/>cans æquinoctialem, ſecaturque ab eodem, ſcilicet in principijs Ari-<lb/>etis & </s> <s xml:id="echoid-s171" xml:space="preserve">Libræ. </s> <s xml:id="echoid-s172" xml:space="preserve">Intelligitur & </s> <s xml:id="echoid-s173" xml:space="preserve">zodiacus, propter verum errantium ſy-<lb/>derum tranſgreſſum, habere latitudinem. </s> <s xml:id="echoid-s174" xml:space="preserve">16. </s> <s xml:id="echoid-s175" xml:space="preserve">graduum, quem per <lb/>medium diuidit ecliptica, relinquens vltro citroque gradus. </s> <s xml:id="echoid-s176" xml:space="preserve">8. </s> <s xml:id="echoid-s177" xml:space="preserve">latitu <lb/>dinis. </s> <s xml:id="echoid-s178" xml:space="preserve">Omnes autem reliquos circulos, ratione tantum ſine latitu-<lb/>dine & </s> <s xml:id="echoid-s179" xml:space="preserve">profunditate omni, intelligere debemus, vti lineam. </s> <s xml:id="echoid-s180" xml:space="preserve">ſenſu <lb/>enim minimè in cœlo diſcerni poſſunt.</s> <s xml:id="echoid-s181" xml:space="preserve"/> </p> <pb o="Fo.4." file="013" n="13" rhead="GRAPH. PETRI AP."/> <note position="right" xml:space="preserve"> <lb/>#### ¶ Nomina & characteres Signorum Zodiaci \\ ſunt hæc. <lb/>Aries # ♈ # Taurus # ♉ # Gemini # ♊ # Cancer # ♋ <lb/>Leo # ♌ # Virgo # ♍ # Libra # <gap/> # Scorpius # ♏ <lb/>Sagittarius # ♐ # Capricor. # ♑ # Aquar. # ♒ # Piſces # ♓ <lb/></note> <note position="right" xml:space="preserve"> <lb/>### ¶ Characteres. 7. Planetarum. <lb/>♄ # SATVRNVS # ♃ IVPITER # ♂ MARS <lb/>☉(sun) # SOL ♀ # VENVS # ☿ MERCVRIVS <lb/># ☾ # LVNA <lb/></note> <p> <s xml:id="echoid-s182" xml:space="preserve">COluri ſunt duo circuli in Sphæra, vnus quidem tranſit <lb/>per principia Arietis & </s> <s xml:id="echoid-s183" xml:space="preserve">Libræ, alter verò per principia <lb/>Cancri & </s> <s xml:id="echoid-s184" xml:space="preserve">Capricorni, ac ſeſe diſpeſcentes ad angulos <lb/>rectos Sphærales circa polos mundi.</s> <s xml:id="echoid-s185" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div17" type="section" level="1" n="17"> <head xml:id="echoid-head19" style="it" xml:space="preserve">¶ De quatuor Circulis minoribus.</head> <p> <s xml:id="echoid-s186" xml:space="preserve">CAncri Circulus, qui & </s> <s xml:id="echoid-s187" xml:space="preserve">Solſtitialis dicitur, eſt ille, qui <lb/>ab æquinoctiali verſus Septentrionem. </s> <s xml:id="echoid-s188" xml:space="preserve">23. </s> <s xml:id="echoid-s189" xml:space="preserve">gradibus, <lb/>&</s> <s xml:id="echoid-s190" xml:space="preserve">. 30. </s> <s xml:id="echoid-s191" xml:space="preserve">minutis diſtat. </s> <s xml:id="echoid-s192" xml:space="preserve">In quem cùm Sol ſe receperit, æſti <lb/>uam reciprocationem peragit, longiſſimusq́ue dies an-<lb/>ni, breuiſſimaq́ue nox erit. </s> <s xml:id="echoid-s193" xml:space="preserve">A Græcis Tropicus, quaſi <lb/>verſilis appellatur.</s> <s xml:id="echoid-s194" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s195" xml:space="preserve">CApricorni Circulus, qui & </s> <s xml:id="echoid-s196" xml:space="preserve">Brumalis dicitur, is eſt, qui vlti-<lb/>mo, à ſole deſcribitur verſus Auſtrum: </s> <s xml:id="echoid-s197" xml:space="preserve">in quo Sol brumalem <lb/>reciprocationem facit, diemq́ue efficit breuiſſimam, & </s> <s xml:id="echoid-s198" xml:space="preserve">no-<lb/>ctem prolixiorem.</s> <s xml:id="echoid-s199" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s200" xml:space="preserve">ARcticus Circulus eſt, qui ex omni parte à polo mundi. </s> <s xml:id="echoid-s201" xml:space="preserve">23. <lb/></s> <s xml:id="echoid-s202" xml:space="preserve">grad. </s> <s xml:id="echoid-s203" xml:space="preserve">30. </s> <s xml:id="echoid-s204" xml:space="preserve">mi. </s> <s xml:id="echoid-s205" xml:space="preserve">diſtat, & </s> <s xml:id="echoid-s206" xml:space="preserve">à priori minoris Vrſæ pede deſcribitur.</s> <s xml:id="echoid-s207" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s208" xml:space="preserve">ANtarcticus verò Circulus eſt, qui deſcribitur à polo zodiaci <lb/>Antarctico, & </s> <s xml:id="echoid-s209" xml:space="preserve">eſt æqualis & </s> <s xml:id="echoid-s210" xml:space="preserve">æquidiſtans Arctico circulo, to-<lb/>tus nobis ſub terris merſus.</s> <s xml:id="echoid-s211" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div18" type="section" level="1" n="18"> <head xml:id="echoid-head20" style="it" xml:space="preserve">¶ Sequitur materialis figura Circulorum Sphæræ.</head> <pb file="014" n="14" rhead="PRIMA PARS COSMO."/> <figure> <image file="014-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/014-01"/> <caption xml:id="echoid-caption8" style="it" xml:space="preserve">DE QVINQVE ZONIS. <lb/>Cap. IIII.</caption> </figure> <pb o="Fo.5." file="015" n="15" rhead="GRAPH. PETRI AP."/> <p> <s xml:id="echoid-s212" xml:space="preserve">QVum terræ & </s> <s xml:id="echoid-s213" xml:space="preserve">aquæ ſuperficies ſit vna, & </s> <s xml:id="echoid-s214" xml:space="preserve">ſphæ <lb/>rica (quod eius vmbra, cùm certa opaci corpo-<lb/>ris ſit ſpecies, in lunari eclipſatione apertiſſime <lb/>demonſtrat) & </s> <s xml:id="echoid-s215" xml:space="preserve">in medio mundi immobilis con <lb/>ſtituta, quinq; </s> <s xml:id="echoid-s216" xml:space="preserve">cœleſtis ſphȩrȩ circulos, quemad <lb/>modum ſphȩra, in conuexitate ſua cóplectitur. <lb/></s> <s xml:id="echoid-s217" xml:space="preserve">Æquinoctialem ſcilicet, & </s> <s xml:id="echoid-s218" xml:space="preserve">Tropicos & </s> <s xml:id="echoid-s219" xml:space="preserve">Arcti-<lb/>cos circulos. </s> <s xml:id="echoid-s220" xml:space="preserve">Qui præter æquinoctialem, in cœlo quinque zonas, to-<lb/>tidemq́ue in terris plagas conſtituunt. </s> <s xml:id="echoid-s221" xml:space="preserve">Quarum duæ circa polos ex-<lb/>tremæ, frigore ſemper horrentes, vix habitabiles exiſtunt. </s> <s xml:id="echoid-s222" xml:space="preserve">Tertia in <lb/>omnium medio inter tropicos ſita, propter continuum ſolis diſcur-<lb/>ſum, & </s> <s xml:id="echoid-s223" xml:space="preserve">ob radiorum ſolis perpendicularitatẽ, terra ſeu plaga aduſta, <lb/>& </s> <s xml:id="echoid-s224" xml:space="preserve">malè aut ægrè habitabilis, ratione diſcernitur. </s> <s xml:id="echoid-s225" xml:space="preserve">Reliquæ duæ, quæ <lb/>tropicis arcticisq́ue circulis interiacént, temperatæ & </s> <s xml:id="echoid-s226" xml:space="preserve">habitales. </s> <s xml:id="echoid-s227" xml:space="preserve"><lb/>Temperantur enim calore torridæ zonæ, & </s> <s xml:id="echoid-s228" xml:space="preserve">extremarum frigore, <lb/>quarum nos alteram incolimus, alteram Antœci & </s> <s xml:id="echoid-s229" xml:space="preserve">Antichtones.</s> <s xml:id="echoid-s230" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div19" type="section" level="1" n="19"> <head xml:id="echoid-head21" style="it" xml:space="preserve">¶ Diuiſionis præmiſſæ formula in plano extenſa.</head> <figure> <image file="015-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/015-01"/> </figure> <pb file="016" n="16" rhead="PRIMA PARS COSMO."/> <figure> <image file="016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/016-01"/> <caption xml:id="echoid-caption9" style="it" xml:space="preserve">Hoc Schema demonſtrat terram eſſe globoſam.</caption> </figure> <figure> <image file="016-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/016-02"/> <caption xml:id="echoid-caption10" style="it" xml:space="preserve">Si terra eſſet tetragona, vmbra quoque tetragonæ <lb/>figuræ in eclipſatione lunari appareret.</caption> </figure> <figure> <image file="016-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/016-03"/> <caption xml:id="echoid-caption11" style="it" xml:space="preserve">Si terra eſſet trigona, vmbra quoque triangu-<lb/>larem haberet formulam.</caption> </figure> <figure> <image file="016-04" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/016-04"/> <caption xml:id="echoid-caption12" style="it" xml:space="preserve">Si terra hexagonæ eſſet figuræ, eius quoque vmbra in <lb/>defectu lunari hexagona appareret, quæ <lb/>tamen rotunda cernitur.</caption> </figure> <pb o="Fo.6." file="017" n="17" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div20" type="section" level="1" n="20"> <head xml:id="echoid-head22" style="it" xml:space="preserve">DEPARALLELIS CIRCVLIS. <lb/>CAP. V.</head> <p> <s xml:id="echoid-s231" xml:space="preserve">PAralleli (qui & </s> <s xml:id="echoid-s232" xml:space="preserve">ſegmenta dicuntur) ſunt circuli <lb/>æqualem diſtantiam ex omni parte ab inuicem <lb/>habentes, & </s> <s xml:id="echoid-s233" xml:space="preserve">nunquam, ſi poſſent etiam ad inſini <lb/>tum protrahi, concurrentes. </s> <s xml:id="echoid-s234" xml:space="preserve">Quanuis paralleli <lb/>ad libitum poſſunt deſcribi, tamen (ad Ptol. </s> <s xml:id="echoid-s235" xml:space="preserve">imi <lb/>tationem) per certos tam in ſolida quàm in pla <lb/>na telluris deſignatione, latitudinis gradus diſ-<lb/>peſcimus: </s> <s xml:id="echoid-s236" xml:space="preserve">quod etiam in figura ſequenti arithmeticali ſeu tabula-<lb/>ri apparet. </s> <s xml:id="echoid-s237" xml:space="preserve">Hac tamen intercapedine ab inuicem diſtant, vt dies <lb/>vnius paralleli longiſſimus, ſuperet paralleli alterius diem prolixi-<lb/>orem, quarta ferè parte vnius horæ. </s> <s xml:id="echoid-s238" xml:space="preserve">Eadem habitudine & </s> <s xml:id="echoid-s239" xml:space="preserve">reliquo-<lb/>rum parallelorum diſtantia erit imaginanda, tam in parte Septen-<lb/>trionali quàm Meridionali.</s> <s xml:id="echoid-s240" xml:space="preserve"/> </p> <figure> <image file="017-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/017-01"/> <caption xml:id="echoid-caption13" style="it" xml:space="preserve">¶ Ecce Schema diuiſionis Parallelorum.</caption> </figure> <pb file="018" n="18" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div21" type="section" level="1" n="21"> <head xml:id="echoid-head23" xml:space="preserve">Arithmetica ſupputatio, ſeu diuiſio Pa-<lb/>rallelorum, quantum quiſque ipſo-<lb/>rum ab æquatore diſtet.</head> <note position="right" xml:space="preserve"> <lb/>######### Gradus eleuationis Poli, ſeu latitudinis terræ. <lb/>Paralleli. # gr. # mi. # Paralleli. # gr. # mi. # Paralleli. # gr. # mi. <lb/>Pri. Paral. ha. # 4 # 15 # Octa. ha. # 30 # 45 # Quin. dec. # 48 # 40 <lb/>Secund. ha. # 8 # 30 # Nonus ha. # 33 # 40 # Sext. dec. # 51 # 50 <lb/>Tertius ha. # 12 # 45 # Decim. ha. # 36 # 24 # Dec. ſept. # 54 # 30 <lb/>Quartus ha. # 16 # 35 # Vndec. ha. # 39 # 0 # Dec. octa. # 56 # 30 <lb/>Quint. ha. # 20 # 30 # Duodec. # 41 # 20 # Dec. no. # 58 # 20 <lb/>Sextus ha. # 24 # 15 # Dec. ter. # 43 # 15 # Vigeſimus # 61 # 10 <lb/>Septim. ha. # 27 # 30 # Dec. quar. # 45 # 24 # Vigeſi. pri. # 63 # 16 <lb/></note> </div> <div xml:id="echoid-div22" type="section" level="1" n="22"> <head xml:id="echoid-head24" style="it" xml:space="preserve">DE CLIMATIBVS <lb/>CAP. VI.</head> <p> <s xml:id="echoid-s241" xml:space="preserve">AStrorum periti apud veteres, terram ſecun-<lb/>dum latitudinem in. </s> <s xml:id="echoid-s242" xml:space="preserve">7. </s> <s xml:id="echoid-s243" xml:space="preserve">partes diuiſere, quas <lb/>Climata appellarunt. </s> <s xml:id="echoid-s244" xml:space="preserve">Nos verò propter neo-<lb/>tericam obſeruationem, in partes ſeu Clima-<lb/>ta. </s> <s xml:id="echoid-s245" xml:space="preserve">9. </s> <s xml:id="echoid-s246" xml:space="preserve">diſpeſcimus. </s> <s xml:id="echoid-s247" xml:space="preserve">Eſt autem Clima ſpacium <lb/>terre inter duos parallelos concluſum, in quo <lb/>ſenſibiliter, id eſt, ad ſemihoram mutatur ho-<lb/>rologium. </s> <s xml:id="echoid-s248" xml:space="preserve">Quia elongando ab æquatore ad <lb/>polos vtroſque, fiunt ſemper dies inęquales. </s> <s xml:id="echoid-s249" xml:space="preserve">Ideoq; </s> <s xml:id="echoid-s250" xml:space="preserve">quotum aliquod <lb/>Clima fuerit ab æquatore, tot ſemihoris longiſſima eius loci dies ſu-<lb/>perat diem nocti æqualem. </s> <s xml:id="echoid-s251" xml:space="preserve">Notandum inſuper eſt, quòd Clima-<lb/>ta aut ab vrbe, aut fluuio, aut regione, aut inſula, aut monte inſigni, <lb/>ſua ſortiuntur nomina. </s> <s xml:id="echoid-s252" xml:space="preserve">Primum itaque dicitur Dia Meroes, à Dia, <lb/>quod eſt per, & </s> <s xml:id="echoid-s253" xml:space="preserve">Meroe ciuitas Aphricæ, quia eius medium tranſit <lb/>per Meroen. </s> <s xml:id="echoid-s254" xml:space="preserve">Secundum Dia Syenes, quia eius medium tranſit per <lb/>Syenen, quæ eſt ciuitas Ægypti ſub tropico Can cri ſita. </s> <s xml:id="echoid-s255" xml:space="preserve">Tertium <lb/>Dia Alexandrias. </s> <s xml:id="echoid-s256" xml:space="preserve">Quartum Dia Rhodou. </s> <s xml:id="echoid-s257" xml:space="preserve">Quintum Dia Rhomes. <lb/></s> <s xml:id="echoid-s258" xml:space="preserve">Sextum Dia Pontou. </s> <s xml:id="echoid-s259" xml:space="preserve">Septimum Dia Boriſthenous. </s> <s xml:id="echoid-s260" xml:space="preserve">Octauum Dia <lb/>Rhipheon. </s> <s xml:id="echoid-s261" xml:space="preserve">Nonum Dia Danias. </s> <s xml:id="echoid-s262" xml:space="preserve">Eadem nomina habent Climata <lb/>meridionalia, niſi præponendo græcam illam præpoſitionem An-<lb/>ti, quæ Latine ſonat econtra, vel oppoſitum, vt Anti Dia Meroes, <lb/>Anti Dia Syenes, &</s> <s xml:id="echoid-s263" xml:space="preserve">c.</s> <s xml:id="echoid-s264" xml:space="preserve"/> </p> <pb o="Fo.7." file="019" n="19" rhead="GRAPH. PETRI AP."/> <figure> <image file="019-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/019-01"/> <caption xml:id="echoid-caption14" style="it" xml:space="preserve">¶ Sequitur formula præmiſſæ traditionis.</caption> </figure> </div> <div xml:id="echoid-div23" type="section" level="1" n="23"> <head xml:id="echoid-head25" xml:space="preserve">TABVLA ARITHMETI <lb/>calis Climatum, ſecundum gradus & <lb/>minuta latitudinis, quoad princi-<lb/>pia, media, & fines eorundem.</head> <note position="right" xml:space="preserve"> <lb/># ## Principium # # ## Medium # # ## Finis <lb/>Gradus latitudinis # gr. # mi. # # gr. # mi. # # gr. # mi. <lb/>Primum Clima # 12 # 45 # # 16 # 35 # # 20 # 30 <lb/>Secundum Clima # 20 # 30 # # 24 # 15 # # 27 # 30 <lb/>Tertium Clima # 27 # 30 # # 30 # 45 # # 33 # 40 <lb/>Quartum Clima # 33 # 40 # # 36 # 24 # # 39 # 0 <lb/>Quintum Clima # # 39 # 0 # # 41 # 20 # # 43 # 30 <lb/>Sextum Clima # 43 # 10 # # 45 # 24 # # 47 # 15 <lb/>Septimum Clima # 47 # 15 # # 48 # 40 # # 50 # 30 <lb/>Octauum Clima # 50 # 30 # # 51 # 50 # # 53 # 10 <lb/>Nonum Clima. # 53 # 10 # # 55 # 30 # # 56 # 30 <lb/></note> <pb file="020" n="20" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div24" type="section" level="1" n="24"> <head xml:id="echoid-head26" style="it" xml:space="preserve">DE LONGITVDINE TERRESTRI. <lb/>CAP. VII.</head> <p> <s xml:id="echoid-s265" xml:space="preserve">LOngitudo loci (Vernero alludente) eſt æquato-<lb/>ris ſiue æquinoctialis circuli ſegmentum, Meri-<lb/>diano eiuſdem loci, & </s> <s xml:id="echoid-s266" xml:space="preserve">Fortunatarum in ſularum <lb/>meridiano, comprehenſum. </s> <s xml:id="echoid-s267" xml:space="preserve">Quia veteres illi <lb/>Geographi ſuperficiem terræ deſeribere, & </s> <s xml:id="echoid-s268" xml:space="preserve">ex <lb/>ſtadiaſmo, locorum intercapedines in quirere vo <lb/>lentes, poſuerunt primùm longitudinis gradum <lb/>in occidente, hoc eſt, in Fortunatis inſulis, quæ nunc Canariæ ap-<lb/>pellantur: </s> <s xml:id="echoid-s269" xml:space="preserve">deinde ſecundum numerorum ſucceſſum, per meridiem <lb/>in orientem, tei<unsure/>luris ambitum gradatim depingebant. </s> <s xml:id="echoid-s270" xml:space="preserve">Quam in-<lb/>quam longitudinem in plano typo (quem Mappam vocant) vt ſe-<lb/>quitur, Hebraicis literis (quia longitudo, ſi Notum, reſpexerimus: <lb/></s> <s xml:id="echoid-s271" xml:space="preserve">à dextris ſiniſtram verſus Hebraico more dirigitur) Helicha Haa-<lb/>retz, quod ſonat, tranſitus ſeu via terræ, intitulauimus. </s> <s xml:id="echoid-s272" xml:space="preserve">Qua autem <lb/>via vniuſcuiuſq; </s> <s xml:id="echoid-s273" xml:space="preserve">loci longitudo ſit comperiẽda, in ſequentibus pro-<lb/>poſitionibus breuitate quadam docebimus. </s> <s xml:id="echoid-s274" xml:space="preserve">Aliàs verò, Deo opi-<lb/>tulante, in noſtro Aſtrolabio, plano quoque Metheoroſcopio, ex <lb/>noſtro Matheſeos diſciplinæ ſcrinio, longe exactius in lucem æde-<lb/>re decreuimus. </s> <s xml:id="echoid-s275" xml:space="preserve">Qualiter autem in plana noſtra deſignatione, in cor-<lb/>pore etiam ſolido, orbis longitudo ſit exploranda, impræſentia-<lb/>rum abſoluo. </s> <s xml:id="echoid-s276" xml:space="preserve">Longitudo. </s> <s xml:id="echoid-s277" xml:space="preserve">Longitudo itaque diſtinguitur meridianis, qui circa <lb/>polos concurrunt. </s> <s xml:id="echoid-s278" xml:space="preserve">Vnde gradus menſurantes arcum æquatoris, in-<lb/>ter primum longitudinis gradum (qui occidentem claudit) & </s> <s xml:id="echoid-s279" xml:space="preserve">me-<lb/>ridianum qui tranſit per locum tuæ habitationis, gradus longitu-<lb/>dinis vocantur,</s> </p> <figure> <image file="020-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/020-01"/> <caption xml:id="echoid-caption15" style="it" xml:space="preserve">¶ Ecce Figuram extenſam in plano.</caption> </figure> <pb o="Fo.8." file="021" n="21" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div25" type="section" level="1" n="25"> <head xml:id="echoid-head27" style="it" xml:space="preserve">DE LAT ITVD INE TERRÆ, <lb/>LOCORV MVE. <lb/>CAP. VIII.</head> <p> <s xml:id="echoid-s280" xml:space="preserve">LAtitudo regionis vel habitationis, eſt ſegmentum <lb/>eiuſdem meridiani, vertice, ſeu polo horizontis, <lb/>atque æquatoris circulo diffinitum: </s> <s xml:id="echoid-s281" xml:space="preserve">& </s> <s xml:id="echoid-s282" xml:space="preserve">eſt ſemper <lb/>æqualis altitudini ſeu eleuationi poli ſupra hori-<lb/>zonta: </s> <s xml:id="echoid-s283" xml:space="preserve">quadam tamen ratione inter ſe differunt. <lb/></s> <s xml:id="echoid-s284" xml:space="preserve">Nam eleuatio ſiue altitudo poli, eſt arcus meridi-<lb/>ani inter polum mundi & </s> <s xml:id="echoid-s285" xml:space="preserve">horizontẽ interceptus. </s> <s xml:id="echoid-s286" xml:space="preserve"><lb/>Latitudo verò loci, eſt arcus meridiani inter ze-<lb/>nith capitum, & </s> <s xml:id="echoid-s287" xml:space="preserve">æquatorrs circulum contentus. </s> <s xml:id="echoid-s288" xml:space="preserve">Hæ autem duæ por <lb/>tiones meridiani (vt auctor ſpliæræ demonſtrat) ſunt æquales. </s> <s xml:id="echoid-s289" xml:space="preserve">Nu-<lb/>merus igitur latitudinis terræ tam Septentrionalis quàm Meridio-<lb/>nalis, in ſolido plano´que, de. </s> <s xml:id="echoid-s290" xml:space="preserve">10 in. </s> <s xml:id="echoid-s291" xml:space="preserve">10. </s> <s xml:id="echoid-s292" xml:space="preserve">(vt aſſolet) ſcribitur: </s> <s xml:id="echoid-s293" xml:space="preserve">ſimi-<lb/>liter & </s> <s xml:id="echoid-s294" xml:space="preserve">longitudinis.</s> <s xml:id="echoid-s295" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div26" type="section" level="1" n="26"> <head xml:id="echoid-head28" xml:space="preserve">Formula huius traditionis.</head> <figure> <image file="021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/021-01"/> </figure> <p> <s xml:id="echoid-s296" xml:space="preserve">PRæterea ne quid ſupputationi noſtrę deſit, conſultò ap <lb/>poſuimus organum hoc, in quo latitudinis alicuius op <lb/>pidi, & </s> <s xml:id="echoid-s297" xml:space="preserve">eleuationis poli æqualitatem oſtendere decre-<lb/>uimus. </s> <s xml:id="echoid-s298" xml:space="preserve">Habes igitur iucundiſſime Lector hic horizon-<lb/>ta mobilem, quem ex parte Septentrionis aut deprime, <lb/>aut eleua, ſecundum quòd numerus graduum eleuationis poli, pro <pb file="022" n="22" rhead="PRIMA PARS COSMO."/> @@erta eleuatione expoſtulat, & </s> <s xml:id="echoid-s299" xml:space="preserve">videbis tot eſſe gradus eiuſdem me-<lb/>ridiani ab æquinoctiali circulo vſque ad zenith depicti hominis, <lb/>quot arcus eiuſdem meridiani inter polum mundi & </s> <s xml:id="echoid-s300" xml:space="preserve">horizontem <lb/>comprehendit.</s> <s xml:id="echoid-s301" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div27" type="section" level="1" n="27"> <head xml:id="echoid-head29" xml:space="preserve">Corollarium.</head> <p> <s xml:id="echoid-s302" xml:space="preserve">ZEnith Capitis ſemper æqualiter ex omni parte ab horizon-<lb/>te (id eſt. </s> <s xml:id="echoid-s303" xml:space="preserve">90. </s> <s xml:id="echoid-s304" xml:space="preserve">gradibus, ſeu quadrante) diſtat: </s> <s xml:id="echoid-s305" xml:space="preserve">at que ideo <lb/>dicitur Polus horizontis, & </s> <s xml:id="echoid-s306" xml:space="preserve">vbique exiſtentibus (excluſis <lb/>omnibus aliis impedimentis) ſemper medietas cœli ſiue hemiſphæ <lb/>rij apparet. </s> <s xml:id="echoid-s307" xml:space="preserve">Quantum igitur aliquis ab æ quinoctiali procedit ver-<lb/>ſus Septentrionem vel Auſtrum, tantum etiam deprimitur hori-<lb/>zon ſub polo ex parte vna, ex altera verò eleuatur ſupra polum <lb/>oppoſitum.</s> <s xml:id="echoid-s308" xml:space="preserve"/> </p> <figure> <image file="022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/022-01"/> <caption xml:id="echoid-caption16" style="it" xml:space="preserve">Hæc planius ex inſtrumento videre licet.</caption> </figure> <pb o="Fo.9." file="023" n="23" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div28" type="section" level="1" n="28"> <head xml:id="echoid-head30" xml:space="preserve">Quomodo altitudo Poli, ſeu la-<lb/>titudo terræ per organum <lb/>ſpeciale ſit exploranda. <lb/>Cap. IX.</head> <head xml:id="echoid-head31" style="it" xml:space="preserve">PRO INTELLECTV HVIVS CAPI-<lb/>tuli, neceßariò ponendæ ſunt quædam Propoſitiones, <lb/>fores huius organi, & eius vſum multiplicem <lb/>explicantes, quarum prima</head> <head xml:id="echoid-head32" style="it" xml:space="preserve">PROPOSITIO EST</head> <p> <s xml:id="echoid-s309" xml:space="preserve">ALtitudinem Solisſupra horizontem, omni die <lb/>& </s> <s xml:id="echoid-s310" xml:space="preserve">hora, artificioſe ex radijs ſolaribus cogno-<lb/>ſcere. </s> <s xml:id="echoid-s311" xml:space="preserve">Subleua igitur librum cum ſequenti or <lb/>gano, ſuperiori parte inferius verſa, & </s> <s xml:id="echoid-s312" xml:space="preserve">anteri-<lb/>ori verſus Solem: </s> <s xml:id="echoid-s313" xml:space="preserve">ita vt perpendiculum ex. </s> <s xml:id="echoid-s314" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s315" xml:space="preserve">ſigno, liberè pendeat ſuper Gnomonis perpẽ-<lb/>diculum depictú, & </s> <s xml:id="echoid-s316" xml:space="preserve">Trigonú mobilem erecto <lb/>pinna cidio radianti ſoli oppo-<lb/> <anchor type="figure" xlink:label="fig-023-02a" xlink:href="fig-023-02"/> ne, ita quòd facies organi ad # te vertatur: </s> <s xml:id="echoid-s317" xml:space="preserve">inferior verò <lb/>pars libri in ſiniſtra manu, # ſurſum eleuetur. </s> <s xml:id="echoid-s318" xml:space="preserve">Rurſus ſub <lb/>leua aut deprime paulatim # Trigonum cum pinnacidio <lb/>verſus Solem, donec ſuprema pars vmbræ pinnacidij, quàm rectiſ-<lb/>ſime cadat ſuper lineam vmbræ. </s> <s xml:id="echoid-s319" xml:space="preserve">Hoc peracto, conſidera diligenter, <lb/>per quot gradus eleuetur index trigoni ſupra horizontem, nume-<lb/>rus illorum graduum, eſt altitudo Solis pro dato momento.</s> <s xml:id="echoid-s320" xml:space="preserve"/> </p> <div xml:id="echoid-div28" type="float" level="2" n="1"> <figure xlink:label="fig-023-02" xlink:href="fig-023-02a"> <image file="023-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/023-02"/> </figure> </div> </div> <div xml:id="echoid-div30" type="section" level="1" n="29"> <head xml:id="echoid-head33" style="it" xml:space="preserve">PROPOSITIO SECVNDA.</head> <p> <s xml:id="echoid-s321" xml:space="preserve">VErum locum Solis quolibet die in zodiaco ex Theori-<lb/>ca ſolis artificioſe in quirere. </s> <s xml:id="echoid-s322" xml:space="preserve">Supputa igitur diem men-<lb/>ſis, pro quo Solis gradum ſcire cupis, in circulo dierum <lb/>menſium, ſuper quem pone filium ex centro Theoricę: <lb/></s> <s xml:id="echoid-s323" xml:space="preserve">filum itaq; </s> <s xml:id="echoid-s324" xml:space="preserve">extenſum ſuper extremum orbem, indicat ſignum & </s> <s xml:id="echoid-s325" xml:space="preserve">ſi-<lb/>gni gradum, per quem die oblato Sol decurrit. </s> <s xml:id="echoid-s326" xml:space="preserve">Verùm in anno biſ-<lb/>ſextili poſt exitum Februarij vſque ad anni finem, ſemper ad obla-<lb/>tum diem dies vnus addendus eſt: </s> <s xml:id="echoid-s327" xml:space="preserve">Deinde facta ſupputatione in <lb/>limbo menſium, filum, Solis verum motum ad meridiem oblati di-<lb/>ei oſtendit.</s> <s xml:id="echoid-s328" xml:space="preserve"/> </p> <pb file="024" n="24" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div31" type="section" level="1" n="30"> <head xml:id="echoid-head34" style="it" xml:space="preserve"><emph style="bf">Inſtrumentum theoricœ Solis.</emph></head> <head xml:id="echoid-head35" xml:space="preserve">Aux Solis.</head> <figure> <image file="024-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/024-01"/> <caption xml:id="echoid-caption17" xml:space="preserve">Oppoſitum Augis.</caption> </figure> <pb o="Fo.10." file="025" n="25" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div32" type="section" level="1" n="31"> <head xml:id="echoid-head36" style="it" xml:space="preserve">PROPOSITIO TERTIA.</head> <p> <s xml:id="echoid-s329" xml:space="preserve">ALtitudinem Poli ſupra horizonté omni die, & </s> <s xml:id="echoid-s330" xml:space="preserve">pro qua-<lb/>libet hora certa diei, dicto citius inuenire. </s> <s xml:id="echoid-s331" xml:space="preserve">Si quouis die <lb/>altitudinem Poli ſcire deſy deras, Accipe pro liora certa <lb/>ſolis altitudinem, vt ante præmiſſa docet: </s> <s xml:id="echoid-s332" xml:space="preserve">Deinde per-<lb/>pendiculis rectè pendentibus, volue ac reuolue organum, donec <lb/>interſectio horæ iam acceptæ, & </s> <s xml:id="echoid-s333" xml:space="preserve">lineæ parallelæ, ex gradu Solis, in <lb/>quo eſt Sol die oblato, ductæ, ſit directè ſub perpendiculo trigoni. <lb/></s> <s xml:id="echoid-s334" xml:space="preserve">Et index rotulæ, qui vltra periphæriam rotulæ eminet, altitudinem <lb/>poli ſine errore pro data habitatione manifeſtabit. </s> <s xml:id="echoid-s335" xml:space="preserve">Quomodo <lb/>autem poli altitudo per ſtellas fixas noctu depræhendatur, alibi <lb/>docebimus.</s> <s xml:id="echoid-s336" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div33" type="section" level="1" n="32"> <head xml:id="echoid-head37" style="it" xml:space="preserve">PROPOSITIO QVINTA.</head> <p> <s xml:id="echoid-s337" xml:space="preserve">STella polari (circa quam punctus ſeu vertex mundi i@ <lb/>mobilis conſiſtit) incognita, in eius cognitionem dupli-<lb/>ci via vtiliter peruenire. </s> <s xml:id="echoid-s338" xml:space="preserve">Imaginare ergo vnam lineam <lb/>rectam ab extremis duabus ſtellis maioris Vrſæ, ſeu ro-<lb/>tis pilaſtri, vſque ad proximam ſtellam, quæ huic lineæ obuiauerit, <lb/>& </s> <s xml:id="echoid-s339" xml:space="preserve">habebis ſtellam polo mundi proximam: </s> <s xml:id="echoid-s340" xml:space="preserve">quæ à Naucleris ſtella <lb/>maris, ab Aſtrologis verò Alrukaba dicitur. </s> <s xml:id="echoid-s341" xml:space="preserve">Eiuſinodi igitur ſtel-<lb/>larum ſitum & </s> <s xml:id="echoid-s342" xml:space="preserve">effigiem (quæ Vrſam ſeu plauſtrum figurant) vides <lb/>hic Lector in figura ſequenti. </s> <s xml:id="echoid-s343" xml:space="preserve">Ibidem enim linea albis ſciſſuris pro-<lb/>ducta, indicat ſtellam polarem. </s> <s xml:id="echoid-s344" xml:space="preserve">Non quòd polus ſit, ſed ſtella polo <lb/>mundi proxima.</s> <s xml:id="echoid-s345" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div34" type="section" level="1" n="33"> <head xml:id="echoid-head38" style="it" xml:space="preserve">IDEM ALITER.</head> <p> <s xml:id="echoid-s346" xml:space="preserve">POne organum viatorium, quod lingua vulgari Com-<lb/>paſſus dicitur (vt aſſolet.) </s> <s xml:id="echoid-s347" xml:space="preserve">Si poſtea filum, ſeu naſum (vt <lb/>vocant) Compaſſi, viſu produxeris ad firmamentum <lb/>vſque, proculdubio inuenies ibi radiali linea polum Se-<lb/>ptentrionarium, qui Arcticus Borealis, & </s> <s xml:id="echoid-s348" xml:space="preserve">Aquilonarius dicitur, <lb/>ſuper quo mundus ipſe verſatur. </s> <s xml:id="echoid-s349" xml:space="preserve">Eſt autem polus ille mun-<lb/>di, punctus imaginarius non ſenſibilis, iuxta quem dicta ſtella <lb/>mouetur.</s> <s xml:id="echoid-s350" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div35" type="section" level="1" n="34"> <head xml:id="echoid-head39" style="it" xml:space="preserve">¶ Huius traditionis figuratum exem-<lb/>plar ſubſequitur.</head> <pb file="026" n="26" rhead="PRIMA PARS COSMO."/> <figure> <image file="026-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/026-01"/> </figure> </div> <div xml:id="echoid-div36" type="section" level="1" n="35"> <head xml:id="echoid-head40" style="it" xml:space="preserve">PROPOSITIO QVINTA.</head> <p> <s xml:id="echoid-s351" xml:space="preserve">HOram vſualem interdiu, ex radijs ſolaribus facilè per-<lb/>ſcutari. </s> <s xml:id="echoid-s352" xml:space="preserve">Habita eleuatione poli ex antepræmiſſa, vel <lb/>ex regionum abaco, pone indicem rotulæ volubilis, <lb/>ſuper gradum eleuationis: </s> <s xml:id="echoid-s353" xml:space="preserve">& </s> <s xml:id="echoid-s354" xml:space="preserve">ita manentem rotulam <lb/>fige intrinſecus cera, vt perpetuò in iſta habitatione <lb/>illic maneat. </s> <s xml:id="echoid-s355" xml:space="preserve">Quo facto, ſubleua librum cum organo, donec filum <lb/>ex c rectè pendeat ſuper depicto perpendiculo Deinde Sole irra-<lb/>diante erigatur proiector vmbræ ſeu pinnacidium trigoni ad angu <lb/>los rectos. </s> <s xml:id="echoid-s356" xml:space="preserve">Poſtea ſubleua aut deprime trigonum Soli obiectum, <lb/>donec pinnacidij vmbra ſuper lineas vmbræ incidat: </s> <s xml:id="echoid-s357" xml:space="preserve">& </s> <s xml:id="echoid-s358" xml:space="preserve">cùm hoc <lb/>videris (ſemper habito reſpectu ad perpendiculum depictum) in-<lb/>terſectio fili eiuſdem, & </s> <s xml:id="echoid-s359" xml:space="preserve">lineæ parallelæ, ex gradu Solis ductæ, in <lb/>arcubus horarum tibi in promptu horam & </s> <s xml:id="echoid-s360" xml:space="preserve">fractiones horarias <lb/>indicabit, aut ante meridianam aut pomeridianam, prout tempo-<lb/>ris momentum exquirit.</s> <s xml:id="echoid-s361" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div37" type="section" level="1" n="36"> <head xml:id="echoid-head41" style="it" xml:space="preserve">PROPOSITIO SEXTA.</head> <p> <s xml:id="echoid-s362" xml:space="preserve">TEmpus ortus & </s> <s xml:id="echoid-s363" xml:space="preserve">occaſus Solis in toto terrarum orbe faci <lb/>le inquirere. </s> <s xml:id="echoid-s364" xml:space="preserve">Pone indicem rotulæ ſuper gradum eleua-<lb/>tionis poli regionis, aut oppidi, in qua vis habere tem-<lb/>pus ortus & </s> <s xml:id="echoid-s365" xml:space="preserve">occaſus. </s> <s xml:id="echoid-s366" xml:space="preserve">Deinde à gradu ſolis in limbo cir-<lb/>ca horam. </s> <s xml:id="echoid-s367" xml:space="preserve">12. </s> <s xml:id="echoid-s368" xml:space="preserve">notato, ingredere ſecundum parallelum, vſq; </s> <s xml:id="echoid-s369" xml:space="preserve">ad hori-<lb/>zontalem lineam. </s> <s xml:id="echoid-s370" xml:space="preserve">I pſa parallela linea in contextu horizontis inter <lb/>lineas horarias, tempus exortus & </s> <s xml:id="echoid-s371" xml:space="preserve">occaſus ſolis manifeſtabit.</s> <s xml:id="echoid-s372" xml:space="preserve"/> </p> <pb o="Fo.11" file="027" n="27" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div38" type="section" level="1" n="37"> <head xml:id="echoid-head42" style="it" xml:space="preserve">PROPOSITIO SEPTIMA.</head> <p> <s xml:id="echoid-s373" xml:space="preserve">QVantitatem diei artificialis, noctísue artifi cialis breuiter <lb/>computare. </s> <s xml:id="echoid-s374" xml:space="preserve">Suppoſito puncto ortus Solis & </s> <s xml:id="echoid-s375" xml:space="preserve">occaſus, <lb/>ſecundum debitam poli eleuationem ex præmiſſa, com-<lb/>puta ab eodem puncto horas, & </s> <s xml:id="echoid-s376" xml:space="preserve">horarum partes vſque <lb/>ad horam. </s> <s xml:id="echoid-s377" xml:space="preserve">12. </s> <s xml:id="echoid-s378" xml:space="preserve">& </s> <s xml:id="echoid-s379" xml:space="preserve">habebis tempus ſemidiuruum. </s> <s xml:id="echoid-s380" xml:space="preserve">Si´q illud duplaue-<lb/>ris, quantitatem diei artificialis (hoc eſt, moram qua Solab ortu in <lb/>occaſum tendens, ſupremũ occupat hemiſphærium) conflabis. </s> <s xml:id="echoid-s381" xml:space="preserve">Qua <lb/>à. </s> <s xml:id="echoid-s382" xml:space="preserve">24. </s> <s xml:id="echoid-s383" xml:space="preserve">horis ſuberacta, noctis quantitas (hoc eſt tempus quo Sol ab oc <lb/>caſu in ortum tendẽs, inferius occupat hemiſphærium) relinquetur.</s> <s xml:id="echoid-s384" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div39" type="section" level="1" n="38"> <head xml:id="echoid-head43" style="it" xml:space="preserve">PROPOSITIO OCTAVA.</head> <p> <s xml:id="echoid-s385" xml:space="preserve">HOram initij & </s> <s xml:id="echoid-s386" xml:space="preserve">finis crepuſculi matutini & </s> <s xml:id="echoid-s387" xml:space="preserve">veſpertini ex <lb/>eodem organo, ſuppoſita eleuatione, indagare. </s> <s xml:id="echoid-s388" xml:space="preserve">Crepu-<lb/>ſculum matutinum (quod nos aurorã nuncupamus) eſt <lb/>tempus, quod intercipitur inter diem clarum & </s> <s xml:id="echoid-s389" xml:space="preserve">noctem <lb/>obſcuram, & </s> <s xml:id="echoid-s390" xml:space="preserve">tempus in quo aër incipit ſplendeſcere, dicitur initium <lb/>crepuſculi matutini. </s> <s xml:id="echoid-s391" xml:space="preserve">At verò, vbi receſſu Solis deſinit, dicitur finis <lb/>crepuſculi veſpertini. </s> <s xml:id="echoid-s392" xml:space="preserve">Si igitur initium matutini & </s> <s xml:id="echoid-s393" xml:space="preserve">veſpertini finem <lb/>ſcire optaueris, accipe gradum ſolis in zodiaco ſub hori-<lb/> <anchor type="figure" xlink:label="fig-027-01a" xlink:href="fig-027-01"/> zonte, & </s> <s xml:id="echoid-s394" xml:space="preserve">duc lineã ab eo parallelam vſq; </s> <s xml:id="echoid-s395" xml:space="preserve">ad contextum li <lb/>neæ crepuſculinæ, & </s> <s xml:id="echoid-s396" xml:space="preserve">contactus linearum oſtendit (habi-<lb/>to horarum reſpectu) initium & </s> <s xml:id="echoid-s397" xml:space="preserve">finem crepuſculi matu <lb/>tini & </s> <s xml:id="echoid-s398" xml:space="preserve">veſpertini. </s> <s xml:id="echoid-s399" xml:space="preserve">Horæ enim antemeridianę, initiũ matutini: </s> <s xml:id="echoid-s400" xml:space="preserve">pome <lb/>ridianæ verò finem crepuſculiveſpertini ſupputant.</s> <s xml:id="echoid-s401" xml:space="preserve"/> </p> <div xml:id="echoid-div39" type="float" level="2" n="1"> <figure xlink:label="fig-027-01" xlink:href="fig-027-01a"> <image file="027-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/027-01"/> </figure> </div> </div> <div xml:id="echoid-div41" type="section" level="1" n="39"> <head xml:id="echoid-head44" style="it" xml:space="preserve">PROPOSITIO NONA.</head> <p> <s xml:id="echoid-s402" xml:space="preserve">PRo quacunq; </s> <s xml:id="echoid-s403" xml:space="preserve">eleuatione, & </s> <s xml:id="echoid-s404" xml:space="preserve">pro quacunq; </s> <s xml:id="echoid-s405" xml:space="preserve">hora diei, So <lb/>lis altitudinem abſq; </s> <s xml:id="echoid-s406" xml:space="preserve">radijs ſolaribus rimari. </s> <s xml:id="echoid-s407" xml:space="preserve">Pone indi <lb/>cem rotulæ ſuper gradum eleuationis, ad quam vis in-<lb/>ueſtigare horarum altitudines. </s> <s xml:id="echoid-s408" xml:space="preserve">Quo facto, ſubleua li-<lb/>brum cum organo, vt ſemper perpendiculum gnomonis (vt dixi-<lb/>mus) perpendiculo depicto correſpondeat. </s> <s xml:id="echoid-s409" xml:space="preserve">Poſtea eleua aut depri-<lb/>me trigonum, quouſq; </s> <s xml:id="echoid-s410" xml:space="preserve">ſuper horam electam, & </s> <s xml:id="echoid-s411" xml:space="preserve">gradum ſigni filum <lb/>dependeat, & </s> <s xml:id="echoid-s412" xml:space="preserve">ſupputa gradus: </s> <s xml:id="echoid-s413" xml:space="preserve">&</s> <s xml:id="echoid-s414" xml:space="preserve">, ſi ſuperſunt, minuta, circa indicem. <lb/></s> <s xml:id="echoid-s415" xml:space="preserve">Hanc igitur altitudinẽ ſcribe ad tabulam ſub titulo huius horæ in-<lb/>directo huius ſigni, ſuper quod rectifi caſti filum. </s> <s xml:id="echoid-s416" xml:space="preserve">Hoc ingenio per-<lb/>ge cum altitudinibus aliarum horarum & </s> <s xml:id="echoid-s417" xml:space="preserve">ſignorum. </s> <s xml:id="echoid-s418" xml:space="preserve">Hæcres ma-<lb/>ximè prodeſt Horologiorum confectioni, puta Cylindri, Quadran-<lb/>tis, Annuli aſtronomici, Horologij muralis &</s> <s xml:id="echoid-s419" xml:space="preserve">c.</s> <s xml:id="echoid-s420" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div42" type="section" level="1" n="40"> <head xml:id="echoid-head45" style="it" xml:space="preserve">¶ Prointellectu harum Propoſitionum, ſume orga-<lb/>num hoc de quo dictum eſt.</head> <pb file="028" n="28" rhead="PRIMA PARS COSMO."/> <figure> <image file="028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/028-01"/> </figure> <pb o="Fo.12" file="029" n="29" rhead="GRAPH PETRI AP."/> </div> <div xml:id="echoid-div43" type="section" level="1" n="41"> <head xml:id="echoid-head46" style="it" xml:space="preserve">DE LONGITVDINE REGIO@ <lb/>num, Prouin@iarum, Oppidorum, loco-<lb/>rúmue inue ſtiganda. <lb/>CAP. X.</head> <p> <s xml:id="echoid-s421" xml:space="preserve">LOngitudines Regionum, Ciuitatum, locorúmue, <lb/>ex initio Eclipſeos lunaris indagare. </s> <s xml:id="echoid-s422" xml:space="preserve">Obſerua <lb/>itaq; </s> <s xml:id="echoid-s423" xml:space="preserve">principium alicuius Eclipſis, in Oppido cu-<lb/>ius longitudo tibi ignota fuerit, quòd ſi in ho-<lb/>ris & </s> <s xml:id="echoid-s424" xml:space="preserve">minutis cum Eclipſi ex tabula ſequenti ac-<lb/>cepta concordauerit, proclamabis iſtum locum <lb/>habere meridianum Ley ſzningenſem, quia Ecli-<lb/>pſes ſequentes Mathematica ſupputatione ad Ley ſzningeñ meri-<lb/>dianum collegimus. </s> <s xml:id="echoid-s425" xml:space="preserve">Eſt enim ciuitas Miſniæ, cuius longitudo eſt <lb/>gra. </s> <s xml:id="echoid-s426" xml:space="preserve">30. </s> <s xml:id="echoid-s427" xml:space="preserve">minu. </s> <s xml:id="echoid-s428" xml:space="preserve">20. </s> <s xml:id="echoid-s429" xml:space="preserve">Secundum Ptholomæum autem long. </s> <s xml:id="echoid-s430" xml:space="preserve">34. </s> <s xml:id="echoid-s431" xml:space="preserve">gra. </s> <s xml:id="echoid-s432" xml:space="preserve">40. <lb/></s> <s xml:id="echoid-s433" xml:space="preserve">mi. </s> <s xml:id="echoid-s434" xml:space="preserve">Si autem initium E clipſis differt, dic locum illum, alium habere <lb/>meridianum, & </s> <s xml:id="echoid-s435" xml:space="preserve">diuerſam longitudinem, quam ſic inuenies: </s> <s xml:id="echoid-s436" xml:space="preserve">Aufer <lb/>numerum horarum & </s> <s xml:id="echoid-s437" xml:space="preserve">minu. </s> <s xml:id="echoid-s438" xml:space="preserve">Eclipſeos, minorem de maiori, & </s> <s xml:id="echoid-s439" xml:space="preserve">diffe-<lb/>rentiam in gradus, & </s> <s xml:id="echoid-s440" xml:space="preserve">graduum minu. </s> <s xml:id="echoid-s441" xml:space="preserve">conuertito hoc pacto: </s> <s xml:id="echoid-s442" xml:space="preserve">Pro <lb/>qualibet l@ora accipe. </s> <s xml:id="echoid-s443" xml:space="preserve">15. </s> <s xml:id="echoid-s444" xml:space="preserve">gradus, pro. </s> <s xml:id="echoid-s445" xml:space="preserve">4. </s> <s xml:id="echoid-s446" xml:space="preserve">minu. </s> <s xml:id="echoid-s447" xml:space="preserve">horæ 1. </s> <s xml:id="echoid-s448" xml:space="preserve">gradum, & </s> <s xml:id="echoid-s449" xml:space="preserve"><lb/>pro quolibet minu. </s> <s xml:id="echoid-s450" xml:space="preserve">horæ. </s> <s xml:id="echoid-s451" xml:space="preserve">15. </s> <s xml:id="echoid-s452" xml:space="preserve">minu. </s> <s xml:id="echoid-s453" xml:space="preserve">gra. </s> <s xml:id="echoid-s454" xml:space="preserve">Tandem numerum gra-<lb/>duum & </s> <s xml:id="echoid-s455" xml:space="preserve">minutorum iam elicitum, adde ad gradus longitudinis <lb/>meridiani Leyſzningeñ. </s> <s xml:id="echoid-s456" xml:space="preserve">ſi orientalior, hoc eſt, ſi maior horarum <lb/>numerus in ea repertus fuerit: </s> <s xml:id="echoid-s457" xml:space="preserve">Aut ſubtràhe, ſi occidentalior, hoc <lb/>eſt, ſi minor horarum numerus in ea quam in tabulis Eclipſium re-<lb/>peritur, & </s> <s xml:id="echoid-s458" xml:space="preserve">habebis longitudinem huius Oppidi, quæ antea ignota <lb/>fuerat. </s> <s xml:id="echoid-s459" xml:space="preserve">Similiter etiam cum Eclipſibus, quæ ad alium meridianum <lb/>ſunt ſupputate, agito.</s> <s xml:id="echoid-s460" xml:space="preserve"/> </p> <figure> <image file="029-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/029-01"/> <caption xml:id="echoid-caption18" xml:space="preserve">Figuræ Eclipticæ ad Meridianum <lb/>Leyſzningen.</caption> </figure> <pb file="030" n="30" rhead="PRIMA PARS COSMO."/> <figure> <image file="030-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/030-01"/> </figure> <pb o="Fo.13." file="031" n="31" rhead="GRAPH. PETRI AP."/> <figure> <image file="031-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/031-01"/> </figure> <pb file="032" n="32" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div44" type="section" level="1" n="42"> <head xml:id="echoid-head47" xml:space="preserve">Idem aliter per Baculum quem Aſtro-<lb/>nomicum dicimus, ex motu Lunæ <lb/>vero, & ſtellarum non erran-<lb/>tium ſitu deprehendere.</head> <p> <s xml:id="echoid-s461" xml:space="preserve">ANtequã rem ipſam aggrediar, fuſtis ſeu bacu-<lb/>li fabricam Geometrica ratione conſultò prę-<lb/>dicere decreuimus. </s> <s xml:id="echoid-s462" xml:space="preserve">Fiat igitur ſemicirculus ſu <lb/>per F, centro, qui ſit A, B, C. </s> <s xml:id="echoid-s463" xml:space="preserve">Etex F, ſigno ſeu <lb/>centro, orthogonalis excitetur ad circumfe-<lb/>rentiam vſq; </s> <s xml:id="echoid-s464" xml:space="preserve">in longitudine. </s> <s xml:id="echoid-s465" xml:space="preserve">5.</s> <s xml:id="echoid-s466" xml:space="preserve">6. </s> <s xml:id="echoid-s467" xml:space="preserve">aut. </s> <s xml:id="echoid-s468" xml:space="preserve">7. </s> <s xml:id="echoid-s469" xml:space="preserve">pedũ, <lb/>(quia ſecũdum eius longitudinem debet fieri <lb/>baculus ſeu fuſtis ex ligno ſolido & </s> <s xml:id="echoid-s470" xml:space="preserve">glandoſo <lb/>groſſitudine digiti) & </s> <s xml:id="echoid-s471" xml:space="preserve">tangat circulum in puncto B, ſic erit ſemicir-<lb/>culus diuiſus in duos quadrantes, ſcilicet A, B. </s> <s xml:id="echoid-s472" xml:space="preserve">& </s> <s xml:id="echoid-s473" xml:space="preserve">B, C. </s> <s xml:id="echoid-s474" xml:space="preserve">Quibus ſic diſ-<lb/>poſitis, pone vnum circini pedem in F, ſignum, reliquum ad palmi <lb/>latum extende, & </s> <s xml:id="echoid-s475" xml:space="preserve">fac mobili pede notas duas, vnam verſus A, ibidem <lb/>fiat nota G, Reliquam verſus C, vbi notetur H. </s> <s xml:id="echoid-s476" xml:space="preserve">Circino ſic immoto <lb/>manente, ponetur vnus pes in B, altero mobili deſcribe circulum oc <lb/>cultum, ad quem ducendæ ſunt contingẽtes ex vtriſq; </s> <s xml:id="echoid-s477" xml:space="preserve">punctis circa <lb/>F, erunt´que ipſæ lineæ G, D, & </s> <s xml:id="echoid-s478" xml:space="preserve">H, E, æquidiſtantes ſeu parallelæ F, B. <lb/></s> <s xml:id="echoid-s479" xml:space="preserve">Deinde quadrantem A, B. </s> <s xml:id="echoid-s480" xml:space="preserve">Similiter & </s> <s xml:id="echoid-s481" xml:space="preserve">B, C, diuide in. </s> <s xml:id="echoid-s482" xml:space="preserve">90. </s> <s xml:id="echoid-s483" xml:space="preserve">partes aut <lb/>gradus, hoc modo: </s> <s xml:id="echoid-s484" xml:space="preserve">Primò in tres partes æquas, & </s> <s xml:id="echoid-s485" xml:space="preserve">iterum quamlibet <lb/>partem in tres. </s> <s xml:id="echoid-s486" xml:space="preserve">Tertiò quamlibet in duas. </s> <s xml:id="echoid-s487" xml:space="preserve">Poſtremò & </s> <s xml:id="echoid-s488" xml:space="preserve">vltimò in <lb/>quinq;</s> <s xml:id="echoid-s489" xml:space="preserve">. Quibus & </s> <s xml:id="echoid-s490" xml:space="preserve">centro F, applica regulam, & </s> <s xml:id="echoid-s491" xml:space="preserve">trahe lineas occultas <lb/>per oẽs gradus: </s> <s xml:id="echoid-s492" xml:space="preserve">& </s> <s xml:id="echoid-s493" xml:space="preserve">vbi iam productæ lineæ diſpeſcunt G, D, & </s> <s xml:id="echoid-s494" xml:space="preserve">H, E, <lb/>lineas, notentur ſigna. </s> <s xml:id="echoid-s495" xml:space="preserve">Quo facto, protrahe lineas à punctis G, D, li-<lb/>neæ, vſq; </s> <s xml:id="echoid-s496" xml:space="preserve">ad oppoſita puncta lineæ H, E. </s> <s xml:id="echoid-s497" xml:space="preserve">Quæ quidẽ lineæ tranſuerſæ <lb/>interſcindunt F, B, ſemidiametrũ. </s> <s xml:id="echoid-s498" xml:space="preserve">Deinde fiat baculus in longitudi-<lb/>ne F, B, habens æquales diuiſioues F, B, lineæ. </s> <s xml:id="echoid-s499" xml:space="preserve">Numeri itaq; </s> <s xml:id="echoid-s500" xml:space="preserve">giaduum <lb/>ab B, verſus F, ſecundum exigentiam diuiſionis ſunt aptandi. </s> <s xml:id="echoid-s501" xml:space="preserve">Dein-<lb/>ceps fac tabulam verſatilem ſeu pinnacidiũ in longitudine G, H, vel <lb/>D, E: </s> <s xml:id="echoid-s502" xml:space="preserve">eius´que in medio fac foramen ſeu rimulam aut fiſſuram, in qua <lb/>idem baculus ad angulos rectos moueri poſſit, & </s> <s xml:id="echoid-s503" xml:space="preserve">paratus erit Bacu-<lb/>his. </s> <s xml:id="echoid-s504" xml:space="preserve">Cuius proxime ſequentem ſume formulam.</s> <s xml:id="echoid-s505" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div45" type="section" level="1" n="43"> <head xml:id="echoid-head48" style="it" xml:space="preserve">¶ Quemadmodum nunc ipſius Baculi Aſtronomici fabri-<lb/>cam non inconuenienter prædiximus, ſimiliter & <lb/>eius vſum omnino neceſſarium typo quàm di-<lb/>ſtincto, ac declaratione manifeſta <lb/>conſequenter deſcribemus.</head> <pb o="Fo.14." file="033" n="33" rhead="GRAPH. PETRI AP."/> <figure> <image file="033-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/033-01"/> </figure> <p> <s xml:id="echoid-s506" xml:space="preserve">POſteaquam fuſtis ſtructurã compleuimus, conſequen <lb/>ter eius vſum dicere aggredior. </s> <s xml:id="echoid-s507" xml:space="preserve">Si igitur loci alicuius <lb/>aut Oppidi, cuius longitudo ignota fuerit, notam lon <lb/>gitud. </s> <s xml:id="echoid-s508" xml:space="preserve">reddere deſyderas: </s> <s xml:id="echoid-s509" xml:space="preserve">Quære primùm ex tabulis <lb/>aſtronomicis verũ Lunæ motũ, ſecundũ longitudinẽ, <lb/>tempore tuæ cõſiderationis, ad certũ locum ad quẽ tabularũ radices <lb/>ſunt computatæ atq; </s> <s xml:id="echoid-s510" xml:space="preserve">verificatæ: </s> <s xml:id="echoid-s511" xml:space="preserve">inſuper gradum longitudinis alicu-<lb/>ius ſtellæ fixæ parũ aut nihil ab ecliptica recedentis, quę motũ lunæ <lb/>proximè præcedit ſubſequitũrue. </s> <s xml:id="echoid-s512" xml:space="preserve">Deinde quære motus lunæ, eiuſ-<lb/>dem´q; </s> <s xml:id="echoid-s513" xml:space="preserve">fixi ſyderis interſtitiũ vel ſegmentũ. </s> <s xml:id="echoid-s514" xml:space="preserve">Interſtitio itaq; </s> <s xml:id="echoid-s515" xml:space="preserve">hoc in-<lb/>uento, applica radiũ huncviſorium, ſeu baculũ extremitate vna quæ <lb/>F. </s> <s xml:id="echoid-s516" xml:space="preserve">ſignum tenet oculo, (altero clauſo) moueatur pinnacidiũ volubile <lb/>ſuper radiũ, donec per terminũ vnũ eiuſdẽ pinnacidij intuearis cen-<lb/>trum corporis lunę: </s> <s xml:id="echoid-s517" xml:space="preserve">per terminũ verò alterũ dictã ſtellã cuius & </s> <s xml:id="echoid-s518" xml:space="preserve">lunę <lb/>interſtitium ſupputaſti. </s> <s xml:id="echoid-s519" xml:space="preserve">Diſtantiã igitur lunæ & </s> <s xml:id="echoid-s520" xml:space="preserve">ſtellæ fixæ pro loco <lb/>tuæ conſiderationis in gradib. </s> <s xml:id="echoid-s521" xml:space="preserve">& </s> <s xml:id="echoid-s522" xml:space="preserve">minut. </s> <s xml:id="echoid-s523" xml:space="preserve">pinnacidium ipſum patefa-<lb/>cit: </s> <s xml:id="echoid-s524" xml:space="preserve">quo peracto, recollige diſtantiã lunę & </s> <s xml:id="echoid-s525" xml:space="preserve">ſtellę fixæ prius ſupputa-<lb/>tã. </s> <s xml:id="echoid-s526" xml:space="preserve">deme igitur minorẽ de maiori, reſiduabis differentiã vltimã, quæ <lb/>diuerſitas aſpectuũ iure dici poteſt, qua quidẽ diuiſa per motũ lunæ <lb/>in vna hora, prodibit tempus quo luna cũ priori ſtellæ diſtantia con <lb/>iungitur aut coniuncta fuerat. </s> <s xml:id="echoid-s527" xml:space="preserve">Rurſus, tempus ſic elicitũ in gradus &</s> <s xml:id="echoid-s528" xml:space="preserve"> <pb file="034" n="34" rhead="PRIMA PARS COSMO."/> grad. </s> <s xml:id="echoid-s529" xml:space="preserve">minuta conuertito, vt ſuprà docuimus in obſeruatione ecli-<lb/>ptica. </s> <s xml:id="echoid-s530" xml:space="preserve">Poſtremò adde aut ſubtrahe numerum graduum & </s> <s xml:id="echoid-s531" xml:space="preserve">minuto-<lb/>rum iam productum ad meridianum, ad quem tabulæ (ex quibus <lb/>lunæ motum computaſti) ſunt verificatæ. </s> <s xml:id="echoid-s532" xml:space="preserve">Vt ſi intercapedo lunæ <lb/>& </s> <s xml:id="echoid-s533" xml:space="preserve">ſtellæ fixæ tuæ conſiderationis fuerit minor, adde gradus & </s> <s xml:id="echoid-s534" xml:space="preserve">mi-<lb/>nuta ad meridianum notum, hoc eſt, ad longitudinem notam, & </s> <s xml:id="echoid-s535" xml:space="preserve"><lb/>locus tuæ conſiderationis erit orientalior. </s> <s xml:id="echoid-s536" xml:space="preserve">Si verò maior, aufer <lb/>gradus & </s> <s xml:id="echoid-s537" xml:space="preserve">minuta à longitudine nota, hoc eſt, à meridiano ad quem <lb/>tabulæ ſunt verificatæ, & </s> <s xml:id="echoid-s538" xml:space="preserve">erit occidẽtalior locus tuæ cõſiderationis.</s> <s xml:id="echoid-s539" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div46" type="section" level="1" n="44"> <head xml:id="echoid-head49" xml:space="preserve">GEMMA FRISIVS.</head> <p> <s xml:id="echoid-s540" xml:space="preserve"><emph style="bf">T</emph>Otum iſtud verum, cùm luna plus verſus occaſum eſt quàm <lb/>ſtella. </s> <s xml:id="echoid-s541" xml:space="preserve">Alioqui ſi orientalior eſt, totum contrarium eſt, id eſt, <lb/>ſi intercapedo lunæ & </s> <s xml:id="echoid-s542" xml:space="preserve">ſtellæ fixæ fuerit minor, ſubtrahe gradus & </s> <s xml:id="echoid-s543" xml:space="preserve"><lb/>minuta à longitudine nota, & </s> <s xml:id="echoid-s544" xml:space="preserve">locus tuus erit occidentalior: </s> <s xml:id="echoid-s545" xml:space="preserve">Si ve-<lb/>rò maior, adde gradus & </s> <s xml:id="echoid-s546" xml:space="preserve">minuta ad longitudinem notam, & </s> <s xml:id="echoid-s547" xml:space="preserve">locus <lb/>erit orientalior.</s> <s xml:id="echoid-s548" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div47" type="section" level="1" n="45"> <head xml:id="echoid-head50" style="it" xml:space="preserve"><emph style="bf">Aliquorum fixorum ſide-</emph> <lb/>rum vera in Zodiaco loca, quæ parum aut nihil à Solis <lb/>orbita recedunt, cum magnitudinibus eorundem, <lb/>rectificata per Petrum Apianum ad Annum <lb/>Chriſti. 1525. completum.</head> <p> <s xml:id="echoid-s549" xml:space="preserve">* 14 ♉ Aldebaram .</s> <s xml:id="echoid-s550" xml:space="preserve">i. </s> <s xml:id="echoid-s551" xml:space="preserve">oculus ſeu cor Tauri. </s> <s xml:id="echoid-s552" xml:space="preserve">♊.</s> <s xml:id="echoid-s553" xml:space="preserve">2.</s> <s xml:id="echoid-s554" xml:space="preserve">gra.</s> <s xml:id="echoid-s555" xml:space="preserve">57.</s> <s xml:id="echoid-s556" xml:space="preserve">mi. </s> <s xml:id="echoid-s557" xml:space="preserve">Mag. </s> <s xml:id="echoid-s558" xml:space="preserve">1.</s> <s xml:id="echoid-s559" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s560" xml:space="preserve">* 30 ♉ Extremitas ſep. </s> <s xml:id="echoid-s561" xml:space="preserve">lateris ãte. </s> <s xml:id="echoid-s562" xml:space="preserve">pleiadũ ♉.</s> <s xml:id="echoid-s563" xml:space="preserve">22.</s> <s xml:id="echoid-s564" xml:space="preserve">gra.</s> <s xml:id="echoid-s565" xml:space="preserve">27.</s> <s xml:id="echoid-s566" xml:space="preserve">mi. </s> <s xml:id="echoid-s567" xml:space="preserve">Mag. </s> <s xml:id="echoid-s568" xml:space="preserve">5.</s> <s xml:id="echoid-s569" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s570" xml:space="preserve">* 1 ♋ Præſepe quæ eſt in pectore Cancri♌.</s> <s xml:id="echoid-s571" xml:space="preserve">o.</s> <s xml:id="echoid-s572" xml:space="preserve">gro.</s> <s xml:id="echoid-s573" xml:space="preserve">37.</s> <s xml:id="echoid-s574" xml:space="preserve">mi. </s> <s xml:id="echoid-s575" xml:space="preserve">Nebuloſa.</s> <s xml:id="echoid-s576" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s577" xml:space="preserve">* 2 ♋ Iſtarum Septentrionalis habet gra.</s> <s xml:id="echoid-s578" xml:space="preserve">27.</s> <s xml:id="echoid-s579" xml:space="preserve">mi.</s> <s xml:id="echoid-s580" xml:space="preserve">57. </s> <s xml:id="echoid-s581" xml:space="preserve">Mag. </s> <s xml:id="echoid-s582" xml:space="preserve">4.</s> <s xml:id="echoid-s583" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s584" xml:space="preserve">* 3 ♋ Septententrionalis aſellus.</s> <s xml:id="echoid-s585" xml:space="preserve">♌.</s> <s xml:id="echoid-s586" xml:space="preserve">o.</s> <s xml:id="echoid-s587" xml:space="preserve">gra.</s> <s xml:id="echoid-s588" xml:space="preserve">37.</s> <s xml:id="echoid-s589" xml:space="preserve">mi. </s> <s xml:id="echoid-s590" xml:space="preserve">Mag. </s> <s xml:id="echoid-s591" xml:space="preserve">4.</s> <s xml:id="echoid-s592" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s593" xml:space="preserve">* 4 ♋ Decliuior harum duarum ad meri. </s> <s xml:id="echoid-s594" xml:space="preserve">♌. </s> <s xml:id="echoid-s595" xml:space="preserve">1.</s> <s xml:id="echoid-s596" xml:space="preserve">gra.</s> <s xml:id="echoid-s597" xml:space="preserve">37.</s> <s xml:id="echoid-s598" xml:space="preserve">mi. </s> <s xml:id="echoid-s599" xml:space="preserve">Mag. </s> <s xml:id="echoid-s600" xml:space="preserve">4.</s> <s xml:id="echoid-s601" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s602" xml:space="preserve">* 8 ♌ Regulꝰ ſeu leonis q̃& </s> <s xml:id="echoid-s603" xml:space="preserve">baſiliſcꝰ dicitur ♎.</s> <s xml:id="echoid-s604" xml:space="preserve">22.</s> <s xml:id="echoid-s605" xml:space="preserve">gra.</s> <s xml:id="echoid-s606" xml:space="preserve">47.</s> <s xml:id="echoid-s607" xml:space="preserve">mi. </s> <s xml:id="echoid-s608" xml:space="preserve">Mag. </s> <s xml:id="echoid-s609" xml:space="preserve">1.</s> <s xml:id="echoid-s610" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s611" xml:space="preserve">* 14 ♍ Aſtræa ſeu Spica virginis ♎.</s> <s xml:id="echoid-s612" xml:space="preserve">16.</s> <s xml:id="echoid-s613" xml:space="preserve">gra.</s> <s xml:id="echoid-s614" xml:space="preserve">57.</s> <s xml:id="echoid-s615" xml:space="preserve">mi. </s> <s xml:id="echoid-s616" xml:space="preserve">Mag. </s> <s xml:id="echoid-s617" xml:space="preserve">1.</s> <s xml:id="echoid-s618" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s619" xml:space="preserve">* 1 ♎ Luminoſior lancis meri. </s> <s xml:id="echoid-s620" xml:space="preserve">♏.</s> <s xml:id="echoid-s621" xml:space="preserve">8.</s> <s xml:id="echoid-s622" xml:space="preserve">gra.</s> <s xml:id="echoid-s623" xml:space="preserve">17.</s> <s xml:id="echoid-s624" xml:space="preserve">mi. </s> <s xml:id="echoid-s625" xml:space="preserve">Mag. </s> <s xml:id="echoid-s626" xml:space="preserve">2.</s> <s xml:id="echoid-s627" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s628" xml:space="preserve">* 8 ♏ Cor Scorpij & </s> <s xml:id="echoid-s629" xml:space="preserve">dicitur Calbalatrab, ♐.</s> <s xml:id="echoid-s630" xml:space="preserve">2.</s> <s xml:id="echoid-s631" xml:space="preserve">gra.</s> <s xml:id="echoid-s632" xml:space="preserve">57.</s> <s xml:id="echoid-s633" xml:space="preserve">mi. </s> <s xml:id="echoid-s634" xml:space="preserve">Mag. </s> <s xml:id="echoid-s635" xml:space="preserve">2.</s> <s xml:id="echoid-s636" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s637" xml:space="preserve">* 4 ♐ Decliuior duarum ab arcu in latere ſeptentrionali ab arcu ad <lb/>meridiem ♐.</s> <s xml:id="echoid-s638" xml:space="preserve">29.</s> <s xml:id="echoid-s639" xml:space="preserve">gra.</s> <s xml:id="echoid-s640" xml:space="preserve">minu.</s> <s xml:id="echoid-s641" xml:space="preserve">17. </s> <s xml:id="echoid-s642" xml:space="preserve">Mag. </s> <s xml:id="echoid-s643" xml:space="preserve">3.</s> <s xml:id="echoid-s644" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s645" xml:space="preserve">* 23 ♑ In radice caudę & </s> <s xml:id="echoid-s646" xml:space="preserve">dicitur denebalchedi. </s> <s xml:id="echoid-s647" xml:space="preserve">♒.</s> <s xml:id="echoid-s648" xml:space="preserve">15.</s> <s xml:id="echoid-s649" xml:space="preserve">gra.</s> <s xml:id="echoid-s650" xml:space="preserve">7.</s> <s xml:id="echoid-s651" xml:space="preserve">mi. </s> <s xml:id="echoid-s652" xml:space="preserve">Mag. </s> <s xml:id="echoid-s653" xml:space="preserve">3</s> </p> <p> <s xml:id="echoid-s654" xml:space="preserve">* 24 ♒ Eteſt ſecunda ſtella poſt effuſionem. </s> <s xml:id="echoid-s655" xml:space="preserve">♓.</s> <s xml:id="echoid-s656" xml:space="preserve">5.</s> <s xml:id="echoid-s657" xml:space="preserve">gra.</s> <s xml:id="echoid-s658" xml:space="preserve">7.</s> <s xml:id="echoid-s659" xml:space="preserve">mi. </s> <s xml:id="echoid-s660" xml:space="preserve">Mag. </s> <s xml:id="echoid-s661" xml:space="preserve">4.</s> <s xml:id="echoid-s662" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s663" xml:space="preserve">* 20 ♓ Eteſt ãtecedẽs ſuꝑ nodũ torcularis ſep. </s> <s xml:id="echoid-s664" xml:space="preserve">♈.</s> <s xml:id="echoid-s665" xml:space="preserve">20.</s> <s xml:id="echoid-s666" xml:space="preserve">g.</s> <s xml:id="echoid-s667" xml:space="preserve">47.</s> <s xml:id="echoid-s668" xml:space="preserve">m. </s> <s xml:id="echoid-s669" xml:space="preserve">Mag. </s> <s xml:id="echoid-s670" xml:space="preserve">4.</s> <s xml:id="echoid-s671" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div48" type="section" level="1" n="46"> <head xml:id="echoid-head51" xml:space="preserve">GEMMA FRISIVS.</head> <p> <s xml:id="echoid-s672" xml:space="preserve">¶ Ab Anno. </s> <s xml:id="echoid-s673" xml:space="preserve">1525. </s> <s xml:id="echoid-s674" xml:space="preserve">vſque ad Annum. </s> <s xml:id="echoid-s675" xml:space="preserve">1540. </s> <s xml:id="echoid-s676" xml:space="preserve">ſtellæ fixæ pro-<lb/>motæ ſunt .</s> <s xml:id="echoid-s677" xml:space="preserve">8. </s> <s xml:id="echoid-s678" xml:space="preserve">minutis. </s> <s xml:id="echoid-s679" xml:space="preserve">Hinc facile erit loca eorum corrigere pro <lb/>annis venturis.</s> <s xml:id="echoid-s680" xml:space="preserve"/> </p> <pb o="Fo.15." file="035" n="35" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div49" type="section" level="1" n="47"> <head xml:id="echoid-head52" style="it" xml:space="preserve">DE PARTIB. MENSVRÆ, SEV SPE-<lb/>ciebus Geometricæ practicæ. CAP. XI.</head> <p> <s xml:id="echoid-s681" xml:space="preserve">MEnſura eſt longitudo finita, quæ ignotam locorũ <lb/>diſtantiam ſenſibili experimento metitur. </s> <s xml:id="echoid-s682" xml:space="preserve">Cuius <lb/>partes ſeu famoſę quantitates, quibus Geometer <lb/>vtitur, ſunt: </s> <s xml:id="echoid-s683" xml:space="preserve">Granũhordei, Digitus, Vncia, Palmꝰ, <lb/>Dichas, Spithama, Pes, Seſquipes, Gradus, Paſſus <lb/>ſimplex, Paſſus duꝑ<unsure/>lex, quẽ Geometricũ appella <lb/>re libuit, Cubitus ſeu vlna, Pertica, quã plures Ra <lb/>dium vocãt, Stadium, Leuca, Miliare Italicũ, Miliare Germanicũ. </s> <s xml:id="echoid-s684" xml:space="preserve">&</s> <s xml:id="echoid-s685" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s686" xml:space="preserve">Granum igitur hordei eſt minima menſura.</s> <s xml:id="echoid-s687" xml:space="preserve"/> </p> <note position="right" xml:space="preserve"> <lb/>Digitus habet # 4 grana, \\ per latera contiguè diſpoſita. # Paſſus Geometricus quo vtitur \\ Coſmometra, habet # 5 pedes. <lb/>Vncia habet # 3 digitos. # Pertica habet # 10 pedes. <lb/>Palinus habet # 4 digitos. # Cubitus habet # 6 palmos. <lb/>Dichas habet # 2 palmos. # Stadium habet # 125 paſſus. <lb/>Spitchama habet # 3 palmos. # Leuca habet # 1500 paſſus. <lb/>Pes habet # 4 palmos. # ## Miliare Italicũ habet # 1000 paſſus <lb/>Seſquipes habet # 6 palmos. # ## Miliare Italicum habet # 8 ſtadia. <lb/>Gradus habet # 2 pedes. # Miliare Ger. cont. # 4000 paſſus. <lb/>Paſſus ſimplex habet # 2 pedes cũ # ## Miliare Ger. magnũ # 5000 paſſus. <lb/># dimidio. # ## Miliare Ger. commune # 32 ſtadia. <lb/></note> <p> <s xml:id="echoid-s688" xml:space="preserve">¶Latini menſurant terreſtre ſpaciũ per miliaria. </s> <s xml:id="echoid-s689" xml:space="preserve">Greci ꝑ ſtadia. </s> <s xml:id="echoid-s690" xml:space="preserve">Fran <lb/>ci aliàs Galli, atq; </s> <s xml:id="echoid-s691" xml:space="preserve">Hiſpani, per leucas. </s> <s xml:id="echoid-s692" xml:space="preserve">Ægyptij per ſignes. </s> <s xml:id="echoid-s693" xml:space="preserve">Perſæ per <lb/>paraſangas. </s> <s xml:id="echoid-s694" xml:space="preserve">Et ſecundum aliquos. </s> <s xml:id="echoid-s695" xml:space="preserve">480. </s> <s xml:id="echoid-s696" xml:space="preserve">ſtadia vni gradui æqninoctia-<lb/>lis correſpondent. </s> <s xml:id="echoid-s697" xml:space="preserve">Quæ. </s> <s xml:id="echoid-s698" xml:space="preserve">15. </s> <s xml:id="echoid-s699" xml:space="preserve">miliaria Germ. </s> <s xml:id="echoid-s700" xml:space="preserve">aut. </s> <s xml:id="echoid-s701" xml:space="preserve">60. </s> <s xml:id="echoid-s702" xml:space="preserve">Italica menſurant. <lb/></s> <s xml:id="echoid-s703" xml:space="preserve">Galli ſiue Franci. </s> <s xml:id="echoid-s704" xml:space="preserve">25. </s> <s xml:id="echoid-s705" xml:space="preserve">leucas vnigra. </s> <s xml:id="echoid-s706" xml:space="preserve">tribuunt. </s> <s xml:id="echoid-s707" xml:space="preserve">Hiſpanivero, leucas 18.</s> <s xml:id="echoid-s708" xml:space="preserve"/> </p> <figure> <image file="035-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/035-01"/> </figure> <pb file="036" n="36" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div50" type="section" level="1" n="48"> <head xml:id="echoid-head53" style="it" xml:space="preserve">DETERRÆ AMBITV. <lb/>CAP. XII.</head> <figure> <image file="036-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/036-01"/> </figure> <p> <s xml:id="echoid-s709" xml:space="preserve">TOtius terræ ambitus. </s> <s xml:id="echoid-s710" xml:space="preserve">360. </s> <s xml:id="echoid-s711" xml:space="preserve">gradus (quemad-<lb/>modum ſphæræ circuli) continere dicitur, & </s> <s xml:id="echoid-s712" xml:space="preserve"><lb/>vni gradui. </s> <s xml:id="echoid-s713" xml:space="preserve">60. </s> <s xml:id="echoid-s714" xml:space="preserve">miliaria Italica, aut. </s> <s xml:id="echoid-s715" xml:space="preserve">15. </s> <s xml:id="echoid-s716" xml:space="preserve">Alema-<lb/>nica communia, aut Sueuica 12. </s> <s xml:id="echoid-s717" xml:space="preserve">reſpondere <lb/>compertum habemus. </s> <s xml:id="echoid-s718" xml:space="preserve">Si igiturterræ ambi-<lb/>tum noſcere anhelas, multiplica. </s> <s xml:id="echoid-s719" xml:space="preserve">360. </s> <s xml:id="echoid-s720" xml:space="preserve">gradus <lb/>terræ ſcilicet periphæ riam, per. </s> <s xml:id="echoid-s721" xml:space="preserve">60. </s> <s xml:id="echoid-s722" xml:space="preserve">offendes <lb/>miliaria Italica. </s> <s xml:id="echoid-s723" xml:space="preserve">21600. </s> <s xml:id="echoid-s724" xml:space="preserve">per. </s> <s xml:id="echoid-s725" xml:space="preserve">15. </s> <s xml:id="echoid-s726" xml:space="preserve">naſcũtur. </s> <s xml:id="echoid-s727" xml:space="preserve">5400. <lb/></s> <s xml:id="echoid-s728" xml:space="preserve">miliaria Germana communia: </s> <s xml:id="echoid-s729" xml:space="preserve">aut ſi. </s> <s xml:id="echoid-s730" xml:space="preserve">360. </s> <s xml:id="echoid-s731" xml:space="preserve">in. </s> <s xml:id="echoid-s732" xml:space="preserve">12. </s> <s xml:id="echoid-s733" xml:space="preserve">duxeris, proueni-<lb/>unt. </s> <s xml:id="echoid-s734" xml:space="preserve">4320. </s> <s xml:id="echoid-s735" xml:space="preserve">Sueuica. </s> <s xml:id="echoid-s736" xml:space="preserve">Tot enim miliaria Alemanica, Sueuica, aut Itala <lb/>circuitus terræ certiſſimis Mathematicorum demonſtrationibus <lb/>continere probatur. </s> <s xml:id="echoid-s737" xml:space="preserve">Habito terræ ambitu, ſi quis eius diametrum <lb/>(quæ quidem eſt linea recta per centrum eius, ex vtraque parte ad <lb/>circum ferentiam eiecta) quanta ſit, ſcire deſyderat, facile id per re-<lb/>gulam dimetientis inueniet, multiplicando ſcilicet circumferentiã <lb/>per.</s> <s xml:id="echoid-s738" xml:space="preserve">7. </s> <s xml:id="echoid-s739" xml:space="preserve">diuidendo productum per.</s> <s xml:id="echoid-s740" xml:space="preserve">22. </s> <s xml:id="echoid-s741" xml:space="preserve">naſcitur in quotiente diame-<lb/>tri numerus. </s> <s xml:id="echoid-s742" xml:space="preserve">Habet igitur ſupputatione ſolerti facta Diameter ter-<lb/>ræ.</s> <s xml:id="echoid-s743" xml:space="preserve">6872 {8/11} miliaria Itala, Germana. </s> <s xml:id="echoid-s744" xml:space="preserve">1718 {2/11}. </s> <s xml:id="echoid-s745" xml:space="preserve">Sueuicaverò, 1397 {6/11}.</s> <s xml:id="echoid-s746" xml:space="preserve"/> </p> <pb o="Fo.16." file="037" n="37" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div51" type="section" level="1" n="49"> <head xml:id="echoid-head54" style="it" xml:space="preserve">DE DISTANTIIS LOCORVM <lb/>inueniendis. CAP. XIII.</head> <p> <s xml:id="echoid-s747" xml:space="preserve">VOlens duorum locorum itinerarium interuallum <lb/>dimetiri, imprimis apud Claudium Ptholo. </s> <s xml:id="echoid-s748" xml:space="preserve">vel in <lb/>ſequenti abaco regionum, datorum locorum per-<lb/>quirat longitudinis gradus, qui mox nomen iſtius <lb/>loci in directo ſequuntur cum ſuis fractis, dehinc <lb/>latitud. </s> <s xml:id="echoid-s749" xml:space="preserve">cum ſuis fractis pariter. </s> <s xml:id="echoid-s750" xml:space="preserve">Si autem dato-<lb/>rum locorum nomina in abaco minimè reperiun <lb/>tur, reducendæ ſunt ad ſeripta loca, quæ in vicinijs iacent, tanquam <lb/>primaria, quia pauxillum interuallum nullam differentiam notatu <lb/>dignam importat. </s> <s xml:id="echoid-s751" xml:space="preserve">Habitis igitur longitudinibus & </s> <s xml:id="echoid-s752" xml:space="preserve">latitudinibus lo <lb/>corum, contuendum erit ad differentiam longitudinis & </s> <s xml:id="echoid-s753" xml:space="preserve">latitudi-<lb/>nis. </s> <s xml:id="echoid-s754" xml:space="preserve">Quædam enim differunt ſola longitudine: </s> <s xml:id="echoid-s755" xml:space="preserve">quædam ſola latitu-<lb/>dine: </s> <s xml:id="echoid-s756" xml:space="preserve">quædam verò longitudine & </s> <s xml:id="echoid-s757" xml:space="preserve">latitudine ſimul. </s> <s xml:id="echoid-s758" xml:space="preserve">Quæ igitur di-<lb/>ſcrepant in latitudine ſolùm, & </s> <s xml:id="echoid-s759" xml:space="preserve">ſi eorum miliarium diſtantiam ſci-<lb/>re deſyderas, ſubtrahe latitudinem vnius à latitudine alterius, relin <lb/>quetur differentia latitudinis. </s> <s xml:id="echoid-s760" xml:space="preserve">Hanc multiplica per.</s> <s xml:id="echoid-s761" xml:space="preserve">15. </s> <s xml:id="echoid-s762" xml:space="preserve">miliaria Ger <lb/>mana, vel.</s> <s xml:id="echoid-s763" xml:space="preserve">60. </s> <s xml:id="echoid-s764" xml:space="preserve">Italica, & </s> <s xml:id="echoid-s765" xml:space="preserve">apparebit duorum locorum diſtantia.</s> <s xml:id="echoid-s766" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div52" type="section" level="1" n="50"> <head xml:id="echoid-head55" xml:space="preserve">¶ In exemplo facilius forſitan accipies.</head> <p> <s xml:id="echoid-s767" xml:space="preserve">LYptzigum ciuitas Miſniæ, vniuerſali ſtudio famatiſſima, mihi <lb/>quondam ingenij artibus dulcis alumna, tenet in longitudine <lb/>gra.</s> <s xml:id="echoid-s768" xml:space="preserve">29.</s> <s xml:id="echoid-s769" xml:space="preserve">mi.</s> <s xml:id="echoid-s770" xml:space="preserve">58. </s> <s xml:id="echoid-s771" xml:space="preserve">in latitu. </s> <s xml:id="echoid-s772" xml:space="preserve">gra. </s> <s xml:id="echoid-s773" xml:space="preserve">51. </s> <s xml:id="echoid-s774" xml:space="preserve">mi.</s> <s xml:id="echoid-s775" xml:space="preserve">14. </s> <s xml:id="echoid-s776" xml:space="preserve">Brixia vero Tyrolenſium <lb/>ciuitas ad Atheſim flu. </s> <s xml:id="echoid-s777" xml:space="preserve">habet in long. </s> <s xml:id="echoid-s778" xml:space="preserve">gra 30. </s> <s xml:id="echoid-s779" xml:space="preserve">mi 0 in lati gra.</s> <s xml:id="echoid-s780" xml:space="preserve">46.</s> <s xml:id="echoid-s781" xml:space="preserve">mi.</s> <s xml:id="echoid-s782" xml:space="preserve">6. <lb/></s> <s xml:id="echoid-s783" xml:space="preserve">Iſtæ ciuitates in longitud. </s> <s xml:id="echoid-s784" xml:space="preserve">æquantur, duo enim mi differentiæ lon-<lb/>gitudinis nihil erroris inducunt, differunt tantum in latitu. </s> <s xml:id="echoid-s785" xml:space="preserve">Quære <lb/>igitur differentiam latitu. </s> <s xml:id="echoid-s786" xml:space="preserve">demẽdo ſcilicet minorem latit. </s> <s xml:id="echoid-s787" xml:space="preserve">de maiori, <lb/>reſtat differentia latit. </s> <s xml:id="echoid-s788" xml:space="preserve">gra.</s> <s xml:id="echoid-s789" xml:space="preserve">5.</s> <s xml:id="echoid-s790" xml:space="preserve">mi.</s> <s xml:id="echoid-s791" xml:space="preserve">8. </s> <s xml:id="echoid-s792" xml:space="preserve">quam multiplica per. </s> <s xml:id="echoid-s793" xml:space="preserve">15. </s> <s xml:id="echoid-s794" xml:space="preserve">prodeunt <lb/>77. </s> <s xml:id="echoid-s795" xml:space="preserve">miliaria Germana, val per.</s> <s xml:id="echoid-s796" xml:space="preserve">60. </s> <s xml:id="echoid-s797" xml:space="preserve">eliciuntur. </s> <s xml:id="echoid-s798" xml:space="preserve">308. </s> <s xml:id="echoid-s799" xml:space="preserve">miliaria Italica.</s> <s xml:id="echoid-s800" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div53" type="section" level="1" n="51"> <head xml:id="echoid-head56" style="it" xml:space="preserve">¶ Quæ longitudine tantùm diſcrepant.</head> <p> <s xml:id="echoid-s801" xml:space="preserve">SIn autem longitudine tantùm differunt, & </s> <s xml:id="echoid-s802" xml:space="preserve">inſtam viato <lb/>riam elongationẽ ſcire deſideras, intra cum numero gra <lb/>duum latitudinis, ſiue eleuationis poli oblatorũ oppido-<lb/>rum, tabulã ſubiectam numeralẽ, & </s> <s xml:id="echoid-s803" xml:space="preserve">in prima linea quęre <lb/>diligenter grad. </s> <s xml:id="echoid-s804" xml:space="preserve">latit. </s> <s xml:id="echoid-s805" xml:space="preserve">eorundem, & </s> <s xml:id="echoid-s806" xml:space="preserve">è directo inuenies mi <lb/>liaria Germana cum mi. </s> <s xml:id="echoid-s807" xml:space="preserve">vni gradui differentiæ longitudinis reſpon <lb/>dentia. </s> <s xml:id="echoid-s808" xml:space="preserve">Hanc igitur differentiam multiplica per miliaria inuenta, ha <lb/>bebis Oppidorum diſtantiam in Germanicis mil. </s> <s xml:id="echoid-s809" xml:space="preserve">Si autem habere <lb/>deſideras Italica miliaria, multiplica illud per.</s> <s xml:id="echoid-s810" xml:space="preserve">4. </s> <s xml:id="echoid-s811" xml:space="preserve">& </s> <s xml:id="echoid-s812" xml:space="preserve">optato potieris.</s> <s xml:id="echoid-s813" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div54" type="section" level="1" n="52"> <head xml:id="echoid-head57" xml:space="preserve">¶ Gratia exempli.</head> <p> <s xml:id="echoid-s814" xml:space="preserve">VIenna Pannoniæ, Metropolis totius Auſtriæ, quondam mi-<lb/>hi dulcis alumna, continet in longitud. </s> <s xml:id="echoid-s815" xml:space="preserve">grad.</s> <s xml:id="echoid-s816" xml:space="preserve">35. </s> <s xml:id="echoid-s817" xml:space="preserve">minut. </s> <s xml:id="echoid-s818" xml:space="preserve">S. </s> <s xml:id="echoid-s819" xml:space="preserve">In <lb/>latitud. </s> <s xml:id="echoid-s820" xml:space="preserve">grad. </s> <s xml:id="echoid-s821" xml:space="preserve">48. </s> <s xml:id="echoid-s822" xml:space="preserve">minu. </s> <s xml:id="echoid-s823" xml:space="preserve">22. </s> <s xml:id="echoid-s824" xml:space="preserve">Vlma autem Rhetiæ ciuitas habet lon- <pb file="038" n="38" rhead="PRIMA PARS COSMO."/> gitud. </s> <s xml:id="echoid-s825" xml:space="preserve">grad.</s> <s xml:id="echoid-s826" xml:space="preserve">27. </s> <s xml:id="echoid-s827" xml:space="preserve">minut.</s> <s xml:id="echoid-s828" xml:space="preserve">30. </s> <s xml:id="echoid-s829" xml:space="preserve">latitud. </s> <s xml:id="echoid-s830" xml:space="preserve">grad.</s> <s xml:id="echoid-s831" xml:space="preserve">48. </s> <s xml:id="echoid-s832" xml:space="preserve">minut.</s> <s xml:id="echoid-s833" xml:space="preserve">26. </s> <s xml:id="echoid-s834" xml:space="preserve">Porro iſtæ ci-<lb/>uitates longitud. </s> <s xml:id="echoid-s835" xml:space="preserve">duntaxat differunt. </s> <s xml:id="echoid-s836" xml:space="preserve">Subtrahe igitur minorem de <lb/>maiori, relinquitur differentia longitud. </s> <s xml:id="echoid-s837" xml:space="preserve">grad.</s> <s xml:id="echoid-s838" xml:space="preserve">7. </s> <s xml:id="echoid-s839" xml:space="preserve">minut.</s> <s xml:id="echoid-s840" xml:space="preserve">38. </s> <s xml:id="echoid-s841" xml:space="preserve">Nunc <lb/>ingredere tabulam ſequentem numeralem duplici introitu (quia mi <lb/>nu. </s> <s xml:id="echoid-s842" xml:space="preserve">latitud. </s> <s xml:id="echoid-s843" xml:space="preserve">in tabula non ſunt expreſſa) hoc modo: </s> <s xml:id="echoid-s844" xml:space="preserve">Primò cum grad. <lb/></s> <s xml:id="echoid-s845" xml:space="preserve">integris, ſcilicet. </s> <s xml:id="echoid-s846" xml:space="preserve">48. </s> <s xml:id="echoid-s847" xml:space="preserve">& </s> <s xml:id="echoid-s848" xml:space="preserve">reperies miliaria. </s> <s xml:id="echoid-s849" xml:space="preserve">10. </s> <s xml:id="echoid-s850" xml:space="preserve">minu. </s> <s xml:id="echoid-s851" xml:space="preserve">2. </s> <s xml:id="echoid-s852" xml:space="preserve">vni. </s> <s xml:id="echoid-s853" xml:space="preserve">ſ. </s> <s xml:id="echoid-s854" xml:space="preserve">gradui diffe <lb/>renti<unsure/>æ longitud. </s> <s xml:id="echoid-s855" xml:space="preserve">correſpondere. </s> <s xml:id="echoid-s856" xml:space="preserve">Deinde iterum ingredere tabulam <lb/>cum. </s> <s xml:id="echoid-s857" xml:space="preserve">49. </s> <s xml:id="echoid-s858" xml:space="preserve">grad. </s> <s xml:id="echoid-s859" xml:space="preserve">& </s> <s xml:id="echoid-s860" xml:space="preserve">conferas. </s> <s xml:id="echoid-s861" xml:space="preserve">10. </s> <s xml:id="echoid-s862" xml:space="preserve">mili. </s> <s xml:id="echoid-s863" xml:space="preserve">2. </s> <s xml:id="echoid-s864" xml:space="preserve">minu. </s> <s xml:id="echoid-s865" xml:space="preserve">ad numerum miliarium <lb/>& </s> <s xml:id="echoid-s866" xml:space="preserve">minutorum ſecundo inuentum. </s> <s xml:id="echoid-s867" xml:space="preserve">ſ.</s> <s xml:id="echoid-s868" xml:space="preserve">9. </s> <s xml:id="echoid-s869" xml:space="preserve">mili.</s> <s xml:id="echoid-s870" xml:space="preserve">50. </s> <s xml:id="echoid-s871" xml:space="preserve">minu. </s> <s xml:id="echoid-s872" xml:space="preserve">& </s> <s xml:id="echoid-s873" xml:space="preserve">de differen-<lb/>tia, quæ eſt. </s> <s xml:id="echoid-s874" xml:space="preserve">12. </s> <s xml:id="echoid-s875" xml:space="preserve">minutorum, accipies partem proportionalem ſe-<lb/>cundum proportionem. </s> <s xml:id="echoid-s876" xml:space="preserve">22. </s> <s xml:id="echoid-s877" xml:space="preserve">minu. </s> <s xml:id="echoid-s878" xml:space="preserve">ad. </s> <s xml:id="echoid-s879" xml:space="preserve">60. </s> <s xml:id="echoid-s880" xml:space="preserve">Dicendo. </s> <s xml:id="echoid-s881" xml:space="preserve">60. </s> <s xml:id="echoid-s882" xml:space="preserve">dant. </s> <s xml:id="echoid-s883" xml:space="preserve">12. </s> <s xml:id="echoid-s884" xml:space="preserve">quot <lb/>dant. </s> <s xml:id="echoid-s885" xml:space="preserve">22. </s> <s xml:id="echoid-s886" xml:space="preserve">facit. </s> <s xml:id="echoid-s887" xml:space="preserve">4. </s> <s xml:id="echoid-s888" xml:space="preserve">min. </s> <s xml:id="echoid-s889" xml:space="preserve">(reſiduum autem ſcilicet. </s> <s xml:id="echoid-s890" xml:space="preserve">24. </s> <s xml:id="echoid-s891" xml:space="preserve">abijciendum erit) <lb/>quæ erunt ſubtrahenda ex. </s> <s xml:id="echoid-s892" xml:space="preserve">10. </s> <s xml:id="echoid-s893" xml:space="preserve">miliar. </s> <s xml:id="echoid-s894" xml:space="preserve">2. </s> <s xml:id="echoid-s895" xml:space="preserve">minu. </s> <s xml:id="echoid-s896" xml:space="preserve">remanent. </s> <s xml:id="echoid-s897" xml:space="preserve">9. </s> <s xml:id="echoid-s898" xml:space="preserve">milia-<lb/>ria. </s> <s xml:id="echoid-s899" xml:space="preserve">58. </s> <s xml:id="echoid-s900" xml:space="preserve">minu. </s> <s xml:id="echoid-s901" xml:space="preserve">Poſtea multiplica gra. </s> <s xml:id="echoid-s902" xml:space="preserve">7. </s> <s xml:id="echoid-s903" xml:space="preserve">minu. </s> <s xml:id="echoid-s904" xml:space="preserve">38. </s> <s xml:id="echoid-s905" xml:space="preserve">differentiæ longitud. </s> <s xml:id="echoid-s906" xml:space="preserve"><lb/>in. </s> <s xml:id="echoid-s907" xml:space="preserve">9. </s> <s xml:id="echoid-s908" xml:space="preserve">miliaria. </s> <s xml:id="echoid-s909" xml:space="preserve">58. </s> <s xml:id="echoid-s910" xml:space="preserve">minuta, reſultant miliaria Germana. </s> <s xml:id="echoid-s911" xml:space="preserve">76. </s> <s xml:id="echoid-s912" xml:space="preserve">minu. </s> <s xml:id="echoid-s913" xml:space="preserve">4. </s> <s xml:id="echoid-s914" xml:space="preserve">ſe-<lb/>cundæ. </s> <s xml:id="echoid-s915" xml:space="preserve">44. </s> <s xml:id="echoid-s916" xml:space="preserve">diſtantia vera ciuitatum ſecundum viam directam.</s> <s xml:id="echoid-s917" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div55" type="section" level="1" n="53"> <head xml:id="echoid-head58" style="it" xml:space="preserve">TABVLA NVMERALIS, CONTI-<lb/>nens gradus longitudinis extra æquinoctia-<lb/>lem in miliaria conuerſos.</head> <note position="right" xml:space="preserve"> <lb/>Grad.lati. # Miliaria # Minuta # Grad.lati. # Miliaria # Minuta # Grad.lati. # Miliaria # Minuta # Grad.lati. # Miliaria # Minuta # Grad.lati. # Miliaria # Minuta <lb/>1 # 14 # 59 # 19 # 14 # 11 # 37 # 11 # 59 # 55 # 8 # 36 # 73 # 4 # 23 <lb/>2 # 14 # 59 # 20 # 14 # 6 # 38 # 11 # 29 # 56 # 8 # 23 # 74 # 4 # 8 <lb/>3 # 14 # 58 # 21 # 14 # 0 # 39 # 11 # 39 # 57 # 8 # 10 # 75 # 3 # 53 <lb/>4 # 14 # 58 # 22 # 13 # 54 # 40 # 11 # 29 # 58 # 7 # 57 # 76 # 3 # 38 <lb/>5 # 14 # 56 # 23 # 13 # 48 # 41 # 11 # 19 # 59 # 7 # 43 # 77 # 3 # 22 <lb/>6 # 14 # 55 # 24 # 13 # 42 # 42 # 11 # 9 # 60 # 7 # 30 # 78 # 3 # 7 <lb/>7 # 14 # 53 # 25 # 13 # 36 # 43 # 10 # 58 # 61 # 7 # 16 # 79 # 2 # 52 <lb/>8 # 14 # 51 # 26 # 13 # 29 # 44 # 10 # 47 # 62 # 7 # 2 # 80 # 2 # 36 <lb/>9 # 14 # 48 # 27 # 13 # 22 # 45 # 10 # 36 # 63 # 6 # 48 # 81 # 2 # 21 <lb/>10 # 14 # 46 # 28 # 13 # 15 # 46 # 10 # 25 # 64 # 6 # 34 # 82 # 2 # 5 <lb/>11 # 14 # 43 # 29 # 13 # 7 # 47 # 10 # 14 # 65 # 6 # 20 # 83 # 1 # 50 <lb/>12 # 14 # 40 # 30 # 12 # 59 # 48 # 10 # 2 # 66 # 6 # 6 # 84 # 1 # 34 <lb/>13 # 14 # 37 # 31 # 12 # 51 # 49 # 9 # 50 # 67 # 5 # 52 # 85 # 1 # 18 <lb/>14 # 14 # 33 # 32 # 12 # 43 # 50 # 9 # 38 # 68 # 5 # 37 # 86 # 1 # 3 <lb/>15 # 14 # 29 # 33 # 12 # 35 # 51 # 9 # 26 # 69 # 5 # 23 # 87 # 0 # 47 <lb/>16 # 14 # 25 # 34 # 12 # 26 # 52 # 9 # 14 # 70 # 5 # 8 # 88 # 0 # 31 <lb/>17 # 14 # 21 # 35 # 12 # 17 # 53 # 9 # 2 # 71 # 4 # 53 # 89 # 0 # 16 <lb/>18 # 14 # 16 # 36 # 12 # 8 # 54 # 8 # 49 # 72 # 4 # 38 # 90 # 0 # 0 <lb/></note> <pb o="Fo.17." file="039" n="39" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div56" type="section" level="1" n="54"> <head xml:id="echoid-head59" style="it" xml:space="preserve">¶ Aliter idem reperire via Geometrica, ne omnino <lb/>Arithmetices Tyro abſterreatur.</head> <p> <s xml:id="echoid-s918" xml:space="preserve">QVòd ſi duarum ciuitatum, locorùmue longitudine & </s> <s xml:id="echoid-s919" xml:space="preserve">la <lb/>titudine aberrantium quidem facilius Geometrica men <lb/>ſuratione ex ſtadiaſmo metiri optaueris. </s> <s xml:id="echoid-s920" xml:space="preserve">Accipe globum <lb/>Geographicum, aut quemcumq; </s> <s xml:id="echoid-s921" xml:space="preserve">alium, & </s> <s xml:id="echoid-s922" xml:space="preserve">vuius loci lati <lb/>tudinem ab æquinoctiali, polum verſus, in meridiano mobili com-<lb/>puta: </s> <s xml:id="echoid-s923" xml:space="preserve">qua nunc explorata, circumuolue globum donec iſte gradus <lb/>æquinoctialis (qui longitudinis gradum impræſentiarum tenet) di-<lb/>recte ſit ſub iſto meridiano mobili. </s> <s xml:id="echoid-s924" xml:space="preserve">Poſtea fac ſignaturam in globo <lb/>circa latitudinis gradum, quę ſitum dicti oppidi manifeſtum reddit. <lb/></s> <s xml:id="echoid-s925" xml:space="preserve">Idem modus erit inueni<unsure/>endi ſitum alterius oppidi, & </s> <s xml:id="echoid-s926" xml:space="preserve">pari lege in o-<lb/>mnibus oppidis te expedies. </s> <s xml:id="echoid-s927" xml:space="preserve">Poſt hæc extende circinum ſecundum <lb/>locorum intercapedinem: </s> <s xml:id="echoid-s928" xml:space="preserve">circino inuariato tranſfer ipſum ſuper æ-<lb/>quatorem, & </s> <s xml:id="echoid-s929" xml:space="preserve">quotibi gradus intra pedes circini computaueris, tot <lb/>erunt gradus circuli magni inter iam dicta loca. </s> <s xml:id="echoid-s930" xml:space="preserve">Hos itaque gradus <lb/>multiplica per. </s> <s xml:id="echoid-s931" xml:space="preserve">480. </s> <s xml:id="echoid-s932" xml:space="preserve">ſtadia, & </s> <s xml:id="echoid-s933" xml:space="preserve">locorum ſtadiaſimus in promptu erit. </s> <s xml:id="echoid-s934" xml:space="preserve"><lb/>Vel per. </s> <s xml:id="echoid-s935" xml:space="preserve">15. </s> <s xml:id="echoid-s936" xml:space="preserve">emergit diſtantia in Alemanicis miliaribus. </s> <s xml:id="echoid-s937" xml:space="preserve">Vel per. </s> <s xml:id="echoid-s938" xml:space="preserve">60. </s> <s xml:id="echoid-s939" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s940" xml:space="preserve">Itala miliaria eliciuntur. </s> <s xml:id="echoid-s941" xml:space="preserve"># ¶ In exemplo lucidius capies.</s> <s xml:id="echoid-s942" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s943" xml:space="preserve">SInt pro clari<unsure/>ore intellectu duo loca, quorũ diſtantiam ſecundũ <lb/>viam directã geometrica ſubtilitate ſcire deſidero. </s> <s xml:id="echoid-s944" xml:space="preserve">Erfordia ſci-<lb/>licet & </s> <s xml:id="echoid-s945" xml:space="preserve">Compoſtella: </s> <s xml:id="echoid-s946" xml:space="preserve">Erfordia Thuringię ciuitas magna, floren <lb/>tiſſimo vniuerſali ſtudio celebris, habet in lon. </s> <s xml:id="echoid-s947" xml:space="preserve">gra. </s> <s xml:id="echoid-s948" xml:space="preserve">28. </s> <s xml:id="echoid-s949" xml:space="preserve">30. </s> <s xml:id="echoid-s950" xml:space="preserve">in lati. </s> <s xml:id="echoid-s951" xml:space="preserve">15. <lb/></s> <s xml:id="echoid-s952" xml:space="preserve">10. </s> <s xml:id="echoid-s953" xml:space="preserve">Compoſtella verò ciuitas Gallitię, regni Tarraconenſis Hiſpaniæ, <lb/>ad quam fiunt peregrinationes frequentiſſimæ, propter corpus S. </s> <s xml:id="echoid-s954" xml:space="preserve">Ia <lb/>c<unsure/>obi, habet in lon. </s> <s xml:id="echoid-s955" xml:space="preserve">5. </s> <s xml:id="echoid-s956" xml:space="preserve">8. </s> <s xml:id="echoid-s957" xml:space="preserve">in lati. </s> <s xml:id="echoid-s958" xml:space="preserve">44. </s> <s xml:id="echoid-s959" xml:space="preserve">13. </s> <s xml:id="echoid-s960" xml:space="preserve">Quibus in globo poſitis ſecun-<lb/>dum doctrinam præcedentem, inuenio intra pedes circini gra. </s> <s xml:id="echoid-s961" xml:space="preserve">17. </s> <s xml:id="echoid-s962" xml:space="preserve"><lb/>mi. </s> <s xml:id="echoid-s963" xml:space="preserve">12. </s> <s xml:id="echoid-s964" xml:space="preserve">Quod ſi illos gradus & </s> <s xml:id="echoid-s965" xml:space="preserve">minu. </s> <s xml:id="echoid-s966" xml:space="preserve">multiplicauero per. </s> <s xml:id="echoid-s967" xml:space="preserve">15. </s> <s xml:id="echoid-s968" xml:space="preserve">produ-<lb/>co miliaria germanica. </s> <s xml:id="echoid-s969" xml:space="preserve">258. </s> <s xml:id="echoid-s970" xml:space="preserve">viatoria ſcilicet elongatio inter iam di-<lb/>cta oppida. </s> <s xml:id="echoid-s971" xml:space="preserve">Porro illum modũ propter illos præſertim qui in Arith-<lb/>meticis principijs non ſatis aut modice fuerint inſtructi, hoc in lo-<lb/>co adijcere non incongruum videbatur.</s> <s xml:id="echoid-s972" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div57" type="section" level="1" n="55"> <head xml:id="echoid-head60" style="it" xml:space="preserve">¶ Qualiter autem itineraria intercapedo duorum oppidorum <lb/>longitudine & lati. differentium, enucleatius ac verius <lb/>Arithmetica ſupputatione auſcultanda ſit, <lb/>impræſentiarum docebimus.</head> <p> <s xml:id="echoid-s973" xml:space="preserve">DIfferentia igitur latitudinis compræhenſa, in duas par-<lb/>tes æquas eam diſpeſce, quarum vna latitudini minori <lb/>vnius Oppidi addatur. </s> <s xml:id="echoid-s974" xml:space="preserve">Numerus quidem hac operatio-<lb/>ne elicitus, latitudo media dicitur. </s> <s xml:id="echoid-s975" xml:space="preserve">Deinde cum latitu. <lb/></s> <s xml:id="echoid-s976" xml:space="preserve">media ingredere tabulam ſequentẽ numeralem, & </s> <s xml:id="echoid-s977" xml:space="preserve">quære latitu. </s> <s xml:id="echoid-s978" xml:space="preserve">me-<lb/>diam in prima linea, quæ latitudo intitulatur, atq; </s> <s xml:id="echoid-s979" xml:space="preserve">ſume directe in la <lb/>@ere dextro numerum minutorũ & </s> <s xml:id="echoid-s980" xml:space="preserve">ſecund. </s> <s xml:id="echoid-s981" xml:space="preserve">Numerum elicitum mul <pb file="040" n="40" rhead="PRIMA PARS COSMO."/> tiplica in longit. </s> <s xml:id="echoid-s982" xml:space="preserve">differentiã, & </s> <s xml:id="echoid-s983" xml:space="preserve">emerget numerus gra.</s> <s xml:id="echoid-s984" xml:space="preserve">mi. </s> <s xml:id="echoid-s985" xml:space="preserve">& </s> <s xml:id="echoid-s986" xml:space="preserve">ſecundo-<lb/>rum æquinoctialis, correſpondens gradibus differentiæ longit. </s> <s xml:id="echoid-s987" xml:space="preserve">extra <lb/>æquinoctialem, & </s> <s xml:id="echoid-s988" xml:space="preserve">vocetur differentia conuerſa. </s> <s xml:id="echoid-s989" xml:space="preserve">Hoc peracto, quam-<lb/>libet differentiam, latitudinis ſcilicet & </s> <s xml:id="echoid-s990" xml:space="preserve">longit. </s> <s xml:id="echoid-s991" xml:space="preserve">conuerſam in ſe mul <lb/>tiplica. </s> <s xml:id="echoid-s992" xml:space="preserve">Dehinc numeros procreatos in vnam ſummam collige, cuius <lb/>radix quadrata conuertitur in miliaria aut Germana aut Itala.</s> <s xml:id="echoid-s993" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div58" type="section" level="1" n="56"> <head xml:id="echoid-head61" style="it" xml:space="preserve">¶ Hæ res eget phyſica multiplicatione quæ ſequitur.</head> <note position="right" xml:space="preserve"> <lb/># Gradus per gradus # Gradus <lb/># Gradus per minuta # Minuta <lb/># Gradus per ſecunda # Secunda <lb/># Grad.per tertia *Minuta ꝑ mi. # Tertia *Secunda <lb/># Minuta per ſecunda # Tertia <lb/>Si multi \\ plicaueris # Minuta per tertia # proue \\ niunt # Quarta <lb/># Secunda per ſecunda # Quarta <lb/># Miliaria per gradus # Miliaria <lb/># miliaria per minu gra. # Minuta miliar. <lb/># Minu.mili.per gradus # Minuta miliar. <lb/># Minu.mili.per minu.gra. # Secunda miliar. <lb/></note> <p> <s xml:id="echoid-s994" xml:space="preserve">POſt iſtam autem multiplicationẽ debet fieri collectio, <lb/>Phyſica ratione per ſexagenarium, ſimiliter diſtributio <lb/>per totidem, hoc modo. </s> <s xml:id="echoid-s995" xml:space="preserve">Primò integra, ſimilia ſub ſimi <lb/>libus integris collocentur. </s> <s xml:id="echoid-s996" xml:space="preserve">Et ſimiles minutiæ ſub ſimi <lb/>libus, vnius eiuſdem´q; </s> <s xml:id="echoid-s997" xml:space="preserve">denominationis minutijs, qui-<lb/>buſdam ſpaciolis diſtinctæ. </s> <s xml:id="echoid-s998" xml:space="preserve">Deinde poteſt fieri collectio ſimiliter & </s> <s xml:id="echoid-s999" xml:space="preserve"><lb/>diſtributio vulgari ratione. </s> <s xml:id="echoid-s1000" xml:space="preserve">Item Minutiæ graduum & </s> <s xml:id="echoid-s1001" xml:space="preserve">miliariũ ſunt <lb/>minuta, ſecunda, tertia, quarta, quinta, &</s> <s xml:id="echoid-s1002" xml:space="preserve">c. </s> <s xml:id="echoid-s1003" xml:space="preserve">In exemplo forſitan luci-<lb/>dius rem ipſam expediam: </s> <s xml:id="echoid-s1004" xml:space="preserve">Obijcio igitur mihi duo loca in partibus <lb/>Europę, quę long. </s> <s xml:id="echoid-s1005" xml:space="preserve">& </s> <s xml:id="echoid-s1006" xml:space="preserve">latitudine diſcrepant, & </s> <s xml:id="echoid-s1007" xml:space="preserve">eorum viatoriam elon <lb/>gationem ſolerti ſupputatione manifeſtam reddere volo. </s> <s xml:id="echoid-s1008" xml:space="preserve">Sint ergo <lb/>iſta loca Ingolſtadium & </s> <s xml:id="echoid-s1009" xml:space="preserve">Conſtantinopolis.</s> <s xml:id="echoid-s1010" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1011" xml:space="preserve">COnſtantinopolis oppidum Thraciæ, ſedes quondã Cæ <lb/>ſarea Romani imperij, nũc autem Turci nephandiſſim: <lb/></s> <s xml:id="echoid-s1012" xml:space="preserve">aſylum, tenet (Pto. </s> <s xml:id="echoid-s1013" xml:space="preserve">teſte) in longitudine gradus. </s> <s xml:id="echoid-s1014" xml:space="preserve">56. </s> <s xml:id="echoid-s1015" xml:space="preserve"><lb/>mi. </s> <s xml:id="echoid-s1016" xml:space="preserve">0. </s> <s xml:id="echoid-s1017" xml:space="preserve">& </s> <s xml:id="echoid-s1018" xml:space="preserve">in latitudine gra. </s> <s xml:id="echoid-s1019" xml:space="preserve">43. </s> <s xml:id="echoid-s1020" xml:space="preserve">mi. </s> <s xml:id="echoid-s1021" xml:space="preserve">5. </s> <s xml:id="echoid-s1022" xml:space="preserve">Ingolſtadium verò <lb/>ſuperioris Boiariæ ſeu Vindelicię oppidum, ſtudio vni-<lb/>uerſali multum decoiatum, habet in longitudine gra.</s> <s xml:id="echoid-s1023" xml:space="preserve">29.</s> <s xml:id="echoid-s1024" xml:space="preserve">mi.</s> <s xml:id="echoid-s1025" xml:space="preserve">6. </s> <s xml:id="echoid-s1026" xml:space="preserve">in la-<lb/>titudine gra.</s> <s xml:id="echoid-s1027" xml:space="preserve">48.</s> <s xml:id="echoid-s1028" xml:space="preserve">mi.</s> <s xml:id="echoid-s1029" xml:space="preserve">42. </s> <s xml:id="echoid-s1030" xml:space="preserve">Differentia longitudinis eſt gra.</s> <s xml:id="echoid-s1031" xml:space="preserve">26.</s> <s xml:id="echoid-s1032" xml:space="preserve">mi.</s> <s xml:id="echoid-s1033" xml:space="preserve">54. </s> <s xml:id="echoid-s1034" xml:space="preserve">la <lb/>titudinum verò differentia eſt gra.</s> <s xml:id="echoid-s1035" xml:space="preserve">5.</s> <s xml:id="echoid-s1036" xml:space="preserve">min.</s> <s xml:id="echoid-s1037" xml:space="preserve">37. </s> <s xml:id="echoid-s1038" xml:space="preserve">Iam medietatem diffe <lb/>rentiæ latitudinis, ſcilicet gradus. </s> <s xml:id="echoid-s1039" xml:space="preserve">2. </s> <s xml:id="echoid-s1040" xml:space="preserve">minuta. </s> <s xml:id="echoid-s1041" xml:space="preserve">48. </s> <s xml:id="echoid-s1042" xml:space="preserve">Conſtantinop<unsure/>olita-<lb/>næ latitudini tanquam minori addo: </s> <s xml:id="echoid-s1043" xml:space="preserve">& </s> <s xml:id="echoid-s1044" xml:space="preserve">colligo gradus.</s> <s xml:id="echoid-s1045" xml:space="preserve">45. </s> <s xml:id="echoid-s1046" xml:space="preserve">minu. </s> <s xml:id="echoid-s1047" xml:space="preserve"><lb/>53. </s> <s xml:id="echoid-s1048" xml:space="preserve">quæ latitudo media dicitur, cum qua intro tabulam ſequentem <lb/>duplici (vt aſſolet) introitu. </s> <s xml:id="echoid-s1049" xml:space="preserve">Primò cum gradibus.</s> <s xml:id="echoid-s1050" xml:space="preserve">45. </s> <s xml:id="echoid-s1051" xml:space="preserve">minuntis.</s> <s xml:id="echoid-s1052" xml:space="preserve">30. </s> <s xml:id="echoid-s1053" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1054" xml:space="preserve">offendo in dextro latere minuta.</s> <s xml:id="echoid-s1055" xml:space="preserve">42. </s> <s xml:id="echoid-s1056" xml:space="preserve">ſecunda.</s> <s xml:id="echoid-s1057" xml:space="preserve">3. </s> <s xml:id="echoid-s1058" xml:space="preserve">quod dicitur pri- <pb o="Fo.18." file="041" n="41" rhead="GRAPH. PETRI AP."/> mum inuentum. </s> <s xml:id="echoid-s1059" xml:space="preserve">Secundò ingredior tabulam cum numero graduũ <lb/>proximo maiori ſcilicet 46. </s> <s xml:id="echoid-s1060" xml:space="preserve">gradibus, & </s> <s xml:id="echoid-s1061" xml:space="preserve">inuenio minuta 41. </s> <s xml:id="echoid-s1062" xml:space="preserve">ſecun-<lb/>d240. </s> <s xml:id="echoid-s1063" xml:space="preserve">Secundum inuentum. </s> <s xml:id="echoid-s1064" xml:space="preserve">Nunc autem elicio differentiam inter <lb/>primum & </s> <s xml:id="echoid-s1065" xml:space="preserve">ſecundum inuenta, illa´; </s> <s xml:id="echoid-s1066" xml:space="preserve">erit. </s> <s xml:id="echoid-s1067" xml:space="preserve">23. </s> <s xml:id="echoid-s1068" xml:space="preserve">ſecundorum, de qua ac-<lb/>cipio partem proportionalem ſecundum proportionem reſidui la-<lb/>titudinis mediæ. </s> <s xml:id="echoid-s1069" xml:space="preserve">23. </s> <s xml:id="echoid-s1070" xml:space="preserve">ſcilicet minutorum ad. </s> <s xml:id="echoid-s1071" xml:space="preserve">30. </s> <s xml:id="echoid-s1072" xml:space="preserve">minuta, dicendo. </s> <s xml:id="echoid-s1073" xml:space="preserve">30. <lb/></s> <s xml:id="echoid-s1074" xml:space="preserve">minuta dant. </s> <s xml:id="echoid-s1075" xml:space="preserve">23. </s> <s xml:id="echoid-s1076" xml:space="preserve">minuta, quot dant 23 ſecunda. </s> <s xml:id="echoid-s1077" xml:space="preserve">facit. </s> <s xml:id="echoid-s1078" xml:space="preserve">17. </s> <s xml:id="echoid-s1079" xml:space="preserve">ſecunda. </s> <s xml:id="echoid-s1080" xml:space="preserve"><lb/>Iam demo 17. </s> <s xml:id="echoid-s1081" xml:space="preserve">ſecunda à primo inuento & </s> <s xml:id="echoid-s1082" xml:space="preserve">relinquitur inuentum ter <lb/>tium minutorum ſcilicet 41. </s> <s xml:id="echoid-s1083" xml:space="preserve">ſecundorum. </s> <s xml:id="echoid-s1084" xml:space="preserve">46 æquatoris, vni gradui <lb/>longitudinis in parallelo latitudinis mediæ correſpondentia. </s> <s xml:id="echoid-s1085" xml:space="preserve">Poſt <lb/>hæc duco inuentum tertium phyſica ratione in longitudinis diffe-<lb/>rentiam, quæ eſt graduum 26. </s> <s xml:id="echoid-s1086" xml:space="preserve">minu. </s> <s xml:id="echoid-s1087" xml:space="preserve">54. </s> <s xml:id="echoid-s1088" xml:space="preserve">proueniunt gradus 18. </s> <s xml:id="echoid-s1089" xml:space="preserve">minu <lb/>ta. </s> <s xml:id="echoid-s1090" xml:space="preserve">44. </s> <s xml:id="echoid-s1091" xml:space="preserve">differentia ſcilicet conuerſa. </s> <s xml:id="echoid-s1092" xml:space="preserve">ſecunda vero & </s> <s xml:id="echoid-s1093" xml:space="preserve">tertia quaſi nul-<lb/>lius momenti iam vltimo delenda ſunt. </s> <s xml:id="echoid-s1094" xml:space="preserve">Nunc autem, vt ſemel fini-<lb/>am, reſoluo differentiam latitudinis in mi. </s> <s xml:id="echoid-s1095" xml:space="preserve">proueniunt mi 337. </s> <s xml:id="echoid-s1096" xml:space="preserve">quæ <lb/>duco in ſe, & </s> <s xml:id="echoid-s1097" xml:space="preserve">procreo. </s> <s xml:id="echoid-s1098" xml:space="preserve">113569. </s> <s xml:id="echoid-s1099" xml:space="preserve">& </s> <s xml:id="echoid-s1100" xml:space="preserve">dicitur primus quadratus. </s> <s xml:id="echoid-s1101" xml:space="preserve">Conſi-<lb/>militer differentiam longitudinis cõuerſam in mi. </s> <s xml:id="echoid-s1102" xml:space="preserve">reſoluo, erunt´que <lb/>mi. </s> <s xml:id="echoid-s1103" xml:space="preserve">1124. </s> <s xml:id="echoid-s1104" xml:space="preserve">quem numerum cõſimiliter duco in ſe, producitur quadra-<lb/>tus ſecũdus ſcilicet 1263376. </s> <s xml:id="echoid-s1105" xml:space="preserve">Iũgo ambo quadrata & </s> <s xml:id="echoid-s1106" xml:space="preserve">habeo 1376945. </s> <s xml:id="echoid-s1107" xml:space="preserve"><lb/>huius numeri radix quadrata eſt ferè 1173 mi. </s> <s xml:id="echoid-s1108" xml:space="preserve">Quæ tandem multi-<lb/>plico per 15. </s> <s xml:id="echoid-s1109" xml:space="preserve">milia. </s> <s xml:id="echoid-s1110" xml:space="preserve">& </s> <s xml:id="echoid-s1111" xml:space="preserve">proueniunt minuta in miliaribus 17595. </s> <s xml:id="echoid-s1112" xml:space="preserve">quæ <lb/>diuido per 60. </s> <s xml:id="echoid-s1113" xml:space="preserve">eliciũtur miliaria Germa. </s> <s xml:id="echoid-s1114" xml:space="preserve">communia 293. </s> <s xml:id="echoid-s1115" xml:space="preserve">mi. </s> <s xml:id="echoid-s1116" xml:space="preserve">15. </s> <s xml:id="echoid-s1117" xml:space="preserve">quæ <lb/>faciunt quartam vnius. </s> <s xml:id="echoid-s1118" xml:space="preserve">Vel aliter: </s> <s xml:id="echoid-s1119" xml:space="preserve">diuide minuta radicis per 4. </s> <s xml:id="echoid-s1120" xml:space="preserve">pro-<lb/>uenitidem, quia ſemper 4. </s> <s xml:id="echoid-s1121" xml:space="preserve">mi. </s> <s xml:id="echoid-s1122" xml:space="preserve">gradus, faciunt vnum miliare Germa. </s> <s xml:id="echoid-s1123" xml:space="preserve"><lb/>vel 1. </s> <s xml:id="echoid-s1124" xml:space="preserve">mi. </s> <s xml:id="echoid-s1125" xml:space="preserve">gradus facit. </s> <s xml:id="echoid-s1126" xml:space="preserve">1. </s> <s xml:id="echoid-s1127" xml:space="preserve">miliare Italicum.</s> <s xml:id="echoid-s1128" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div59" type="section" level="1" n="57"> <head xml:id="echoid-head62" style="it" xml:space="preserve">¶ Nonabſurdum arbitramur hoc in loco practicæ <lb/>formulam huius exempli ſubijcere.</head> <p> <s xml:id="echoid-s1129" xml:space="preserve">Conſtantinopolis habet gra. </s> <s xml:id="echoid-s1130" xml:space="preserve">longitudinis. </s> <s xml:id="echoid-s1131" xml:space="preserve">56.</s> <s xml:id="echoid-s1132" xml:space="preserve">0. </s> <s xml:id="echoid-s1133" xml:space="preserve">latitudinis. </s> <s xml:id="echoid-s1134" xml:space="preserve">43.</s> <s xml:id="echoid-s1135" xml:space="preserve">5.</s> <s xml:id="echoid-s1136" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1137" xml:space="preserve">Ingolſtadium in longitudine 296. </s> <s xml:id="echoid-s1138" xml:space="preserve">in latitudine. </s> <s xml:id="echoid-s1139" xml:space="preserve">48.</s> <s xml:id="echoid-s1140" xml:space="preserve">42.</s> <s xml:id="echoid-s1141" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1142" xml:space="preserve">Differentia longitudinis gra. </s> <s xml:id="echoid-s1143" xml:space="preserve">26 54. </s> <s xml:id="echoid-s1144" xml:space="preserve"># Different. </s> <s xml:id="echoid-s1145" xml:space="preserve">latitu. </s> <s xml:id="echoid-s1146" xml:space="preserve">gra 5.</s> <s xml:id="echoid-s1147" xml:space="preserve">37.</s> <s xml:id="echoid-s1148" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1149" xml:space="preserve">Medietas differentiæ latit gra 248. </s> <s xml:id="echoid-s1150" xml:space="preserve"># Latitudo media. </s> <s xml:id="echoid-s1151" xml:space="preserve">gra. </s> <s xml:id="echoid-s1152" xml:space="preserve">45.</s> <s xml:id="echoid-s1153" xml:space="preserve">35.</s> <s xml:id="echoid-s1154" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1155" xml:space="preserve">Inuentum primum minut. </s> <s xml:id="echoid-s1156" xml:space="preserve">42. </s> <s xml:id="echoid-s1157" xml:space="preserve">ſecund. </s> <s xml:id="echoid-s1158" xml:space="preserve">3.</s> <s xml:id="echoid-s1159" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1160" xml:space="preserve">Inuentum ſecundum minut. </s> <s xml:id="echoid-s1161" xml:space="preserve">41. </s> <s xml:id="echoid-s1162" xml:space="preserve">ſecund. </s> <s xml:id="echoid-s1163" xml:space="preserve">40.</s> <s xml:id="echoid-s1164" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1165" xml:space="preserve">Differentia primi & </s> <s xml:id="echoid-s1166" xml:space="preserve">ſecundi inuentorum. </s> <s xml:id="echoid-s1167" xml:space="preserve">23. </s> <s xml:id="echoid-s1168" xml:space="preserve">ſecundorum</s> </p> <p> <s xml:id="echoid-s1169" xml:space="preserve">Pars proportionalis ſubtrahenda. </s> <s xml:id="echoid-s1170" xml:space="preserve">17. </s> <s xml:id="echoid-s1171" xml:space="preserve">ſecundorum</s> </p> <p> <s xml:id="echoid-s1172" xml:space="preserve">Inuentum tertium minuta. </s> <s xml:id="echoid-s1173" xml:space="preserve">41. </s> <s xml:id="echoid-s1174" xml:space="preserve">ſecund. </s> <s xml:id="echoid-s1175" xml:space="preserve">46.</s> <s xml:id="echoid-s1176" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1177" xml:space="preserve">Differentia conuerſa in gra. </s> <s xml:id="echoid-s1178" xml:space="preserve">æquatoris gra. </s> <s xml:id="echoid-s1179" xml:space="preserve">18. </s> <s xml:id="echoid-s1180" xml:space="preserve">mi. </s> <s xml:id="echoid-s1181" xml:space="preserve">44.</s> <s xml:id="echoid-s1182" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1183" xml:space="preserve">Minuta difſerentiæ latitudinis. </s> <s xml:id="echoid-s1184" xml:space="preserve">337. </s> <s xml:id="echoid-s1185" xml:space="preserve"># Quadratus eiuſdem. </s> <s xml:id="echoid-s1186" xml:space="preserve">113569.</s> <s xml:id="echoid-s1187" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1188" xml:space="preserve">Minuta differentiæ conuerſæ.</s> <s xml:id="echoid-s1189" xml:space="preserve">1124. </s> <s xml:id="echoid-s1190" xml:space="preserve"># Quadratus eiuſdem. </s> <s xml:id="echoid-s1191" xml:space="preserve">1263376.</s> <s xml:id="echoid-s1192" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1193" xml:space="preserve">Numeri quadrati ſimul iuncti. </s> <s xml:id="echoid-s1194" xml:space="preserve">1376945.</s> <s xml:id="echoid-s1195" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1196" xml:space="preserve">Radix quadrata aggregata eſt fere. </s> <s xml:id="echoid-s1197" xml:space="preserve">1173. </s> <s xml:id="echoid-s1198" xml:space="preserve">mi. </s> <s xml:id="echoid-s1199" xml:space="preserve">fiunt gra. </s> <s xml:id="echoid-s1200" xml:space="preserve">1933.</s> <s xml:id="echoid-s1201" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1202" xml:space="preserve">Milarium minuta. </s> <s xml:id="echoid-s1203" xml:space="preserve">17595.</s> <s xml:id="echoid-s1204" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1205" xml:space="preserve">Minuta ad integra mili. </s> <s xml:id="echoid-s1206" xml:space="preserve">reducta Ger. </s> <s xml:id="echoid-s1207" xml:space="preserve">293.</s> <s xml:id="echoid-s1208" xml:space="preserve">miliar.</s> <s xml:id="echoid-s1209" xml:space="preserve">15.</s> <s xml:id="echoid-s1210" xml:space="preserve">mi.</s> <s xml:id="echoid-s1211" xml:space="preserve"/> </p> <pb file="042" n="42" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div60" type="section" level="1" n="58"> <head xml:id="echoid-head63" style="it" xml:space="preserve">¶ TABVLA DE RATIONIB. SEV PROPOR <lb/>Æquinoctialem, vel ad quemuis maximum circulum, quæ aliâs tabula</head> <note position="right" xml:space="preserve"> <lb/>Gra.lati. # Minu.lati. # Minu.æqu. # Scda æqui. # Differentia # Gra.lati. # Minu lati. # Minu.æqu. # Scda æqui. # Differentia # Gra.lati. # Minu.lati. # Minu.æqu. # Scđa æqui. # Differentia <lb/>0 # 30 # 59 # 59 # 0 # 16 # 0 # 57 # 40 # 9 # 31 # 0 # 51 # 25 # 16 <lb/>1 # 0 # 59 # 59 # 1 # 16 # 30 # 57 # 31 # 9 # 31 # 30 # 51 # 9 # 17 <lb/>1 # 30 # 59 # 58 # 1 # 17 # 0 # 57 # 22 # 9 # 32 # 0 # 50 # 52 # 17 <lb/>2 # 0 # 59 # 57 # 1 # 17 # 30 # 57 # 13 # 10 # 32 # 30 # 50 # 36 # 17 <lb/>2 # 30 # 59 # 56 # 1 # 18 # 0 # 57 # 3 # 10 # 33 # 0 # 50 # 19 # 17 <lb/>3 # 0 # 59 # 55 # 2 # 18 # 30 # 56 # 53 # 10 # 33 # 30 # 50 # 2 # 18 <lb/>3 # 30 # 59 # 53 # 2 # 19 # 0 # 56 # 43 # 10 # 34 # 0 # 49 # 44 # 18 <lb/>4 # 0 # 59 # 51 # 2 # 19 # 30 # 56 # 33 # 11 # 34 # 30 # 49 # 26 # 18 <lb/>4 # 30 # 59 # 48 # 2 # 20 # 0 # 56 # 22 # 11 # 35 # 0 # 49 # 8 # 18 <lb/>5 # 0 # 59 # 46 # 3 # 20 # 30 # 56 # 11 # 11 # 35 # 30 # 48 # 50 # 18 <lb/>5 # 30 # 59 # 43 # 3 # 21 # 0 # 56 # 0 # 11 # 36 # 0 # 48 # 32 # 18 <lb/>6 # 0 # 59 # 40 # 3 # 21 # 30 # 55 # 49 # 12 # 36 # 30 # 48 # 14 # 19 <lb/>6 # 30 # 59 # 36 # 3 # 22 # 0 # 55 # 37 # 12 # 37 # 0 # 47 # 55 # 19 <lb/>7 # 0 # 59 # 33 # 4 # 22 # 30 # 55 # 25 # 12 # 37 # 30 # 47 # 36 # 19 <lb/>7 # 30 # 59 # 29 # 4 # 23 # 0 # 55 # 13 # 12 # 38 # 0 # 47 # 16 # 19 <lb/>8 # 0 # 59 # 24 # 4 # 23 # 30 # 55 # 1 # 13 # 38 # 30 # 46 # 57 # 20 <lb/>8 # 30 # 59 # 20 # 5 # 24 # 0 # 54 # 48 # 13 # 39 # 0 # 46 # 37 # 20 <lb/>9 # 0 # 59 # 15 # 5 # 24 # 30 # 54 # 35 # 13 # 39 # 30 # 46 # 17 # 20 <lb/>9 # 30 # 59 # 10 # 5 # 25 # 0 # 54 # 22 # 13 # 40 # 0 # 45 # 37 # 20 <lb/>10 # 0 # 59 # 5 # 6 # 25 # 30 # 54 # 9 # 14 # 40 # 30 # 45 # 37 # 21 <lb/>10 # 30 # 58 # 59 # 6 # 26 # 0 # 53 # 55 # 14 # 41 # 0 # 44 # 16 # 21 <lb/>11 # 0 # 58 # 53 # 6 # 26 # 30 # 53 # 41 # 14 # 41 # 30 # 44 # 56 # 21 <lb/>11 # 30 # 58 # 47 # 6 # 27 # 0 # 53 # 27 # 14 # 42 # 0 # 44 # @5 # 21 <lb/>12 # 0 # 58 # 41 # 7 # 27 # 30 # 53 # 13 # 15 # 42 # 30 # 44 # 14 # 22 <lb/>12 # 30 # 58 # 34 # 7 # 28 # 0 # 52 # 58 # 15 # 43 # 0 # 43 # 52 # 22 <lb/>13 # 0 # 58 # 27 # 7 # 28 # 30 # 52 # 43 # 15 # 43 # 30 # 43 # 31 # 22 <lb/>13 # 30 # 58 # 20 # 7 # 29 # 0 # 52 # 28 # 15 # 44 # 0 # 43 # 9 # 22 <lb/>14 # 0 # 58 # 13 # 8 # 29 # 30 # 52 # 13 # 16 # 44 # 30 # 42 # 47 # 22 <lb/>14 # 30 # 58 # 5 # 8 # 30 # 0 # 51 # 57 # 16 # 45 # 0 # 42 # 25 # 22 <lb/>15 # 0 # 57 # 57 # 8 # 30 # 30 # 51 # 41 # 16 # 45 # 30 # 42 # 3 # 23 <lb/>15 # 30 # 57 # 49 # 9 # # # # Secundę # # # # Secũdę <lb/></note> <pb o="Fo.19." file="043" n="43" rhead="GRAPH. PETRIAP."/> </div> <div xml:id="echoid-div61" type="section" level="1" n="59"> <head xml:id="echoid-head64" style="it" xml:space="preserve">TIONIB. OMNIVM PARALLELORVM AD <lb/>conuerſionũ grad. extra æquinoctialẽ in grad. æquinoctialis inſcribitur.</head> <note position="right" xml:space="preserve"> <lb/>Gra.lati. # Minu.lati. # Minu.æqu. # Scđa æqui. # Differentia # Gra.lati. # Minu.lati. # Minu.æqu. # Scđa æqui. # Differentia # Gra.lati. # Minu.lati. # Minu.æqu. # Scđa æqui. # Differentia <lb/>46 # 0 # 41 # 40 # 23 # 61 # 0 # 29 # 5 # 28 # 76 # 0 # 14 # 30 # 30 <lb/>46 # 30 # 41 # 18 # 23 # 61 # 30 # 28 # 37 # 28 # 76 # 30 # 14 # 0 # 31 <lb/>47 # 0 # 40 # 55 # 23 # 62 # 0 # 28 # 10 # 28 # 77 # 0 # 13 # 29 # 31 <lb/>47 # 30 # 40 # 32 # 23 # 62 # 30 # 27 # 47 # 28 # 77 # 30 # 12 # 59 # 31 <lb/>48 # 0 # 40 # 8 # 23 # 63 # 0 # 27 # 14 # 28 # 78 # 0 # 12 # 28 # 31 <lb/>48 # 30 # 39 # 45 # 24 # 63 # 30 # 26 # 46 # 28 # 78 # 30 # 11 # 57 # 31 <lb/>49 # 0 # 39 # 21 # 24 # 64 # 0 # 26 # 18 # 28 # 79 # 0 # 11 # 26 # 31 <lb/>49 # 30 # 58 # 58 # 24 # 64 # 30 # 25 # 49 # 28 # 79 # 30 # 10 # 56 # 31 <lb/>50 # 0 # 38 # 34 # 24 # 65 # 0 # 25 # 21 # 29 # 80 # 0 # 10 # 25 # 31 <lb/>50 # 30 # 38 # 9 # 24 # 65 # 30 # 24 # 52 # 29 # 80 # 30 # 9 # 54 # 31 <lb/>51 # 0 # 37 # 45 # 24 # 66 # 0 # 24 # 24 # 29 # 81 # 0 # 9 # 23 # 31 <lb/>51 # 30 # 37 # 21 # 25 # 66 # 30 # 23 # 55 # 29 # 81 # 30 # 8 # 52 # 31 <lb/>52 # 0 # 36 # 56 # 25 # 67 # 0 # 23 # 26 # 29 # 82 # 0 # 8 # 21 # 31 <lb/>52 # 30 # 36 # 31 # 25 # 67 # 30 # 22 # 57 # 29 # 82 # 30 # 7 # 49 # 31 <lb/>53 # 0 # 36 # 6 # 25 # 68 # 0 # 22 # 28 # 29 # 83 # 0 # 7 # 18 # 31 <lb/>53 # 30 # 35 # 41 # 25 # 68 # 30 # 21 # 59 # 29 # 83 # 30 # 6 # 47 # 31 <lb/>54 # 0 # 35 # 16 # 26 # 69 # 0 # 21 # 30 # 29 # 84 # 0 # 6 # 16 # 31 <lb/>54 # 30 # 34 # 50 # 26 # 69 # 30 # 21 # 0 # 29 # 84 # 30 # 5 # 45 # 31 <lb/>55 # 0 # 34 # 24 # 26 # 70 # 0 # 20 # 31 # 30 # 85 # 0 # 5 # 13 # 31 <lb/>55 # 30 # 34 # 59 # 26 # 70 # 30 # 20 # 1 # 30 # 85 # 30 # 4 # 42 # 31 <lb/>56 # 0 # 33 # 33 # 26 # 71 # 0 # 19 # 32 # 30 # 86 # 0 # 4 # 11 # 31 <lb/>56 # 30 # 33 # 6 # 26 # 71 # 30 # 19 # 2 # 30 # 86 # 30 # 3 # 39 # 31 <lb/>57 # 0 # 32 # 40 # 26 # 72 # 0 # 18 # 32 # 30 # 87 # 0 # 3 # 8 # 31 <lb/>57 # 30 # 32 # 14 # 27 # 72 # 30 # 18 # 2 # 30 # 87 # 30 # 2 # 37 # 31 <lb/>58 # 0 # 31 # 47 # 27 # 73 # 0 # 17 # 32 # 30 # 88 # 0 # 2 # 5 # 31 <lb/>58 # 30 # 31 # 21 # 27 # 73 # 30 # 17 # 2 # 30 # 88 # 30 # 1 # 34 # 31 <lb/>59 # 0 # 30 # 54 # 27 # 74 # 0 # 16 # 32 # 30 # 89 # 0 # 1 # 2 # 31 <lb/>59 # 30 # 30 # 27 # 27 # 74 # 30 # 16 # 2 # 30 # 89 # 30 # 0 # 31 # 31 <lb/>60 # 0 # 30 # 0 # 27 # 75 # 0 # 15 # 31 # 30 # 90 # 0 # 0 # 0 <lb/>60 # 30 # 29 # 32 # 27 # 75 # 30 # 15 # 1 # 30 <lb/># # # # Secũd. # # # # # Secundę <lb/></note> <pb file="044" n="44" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div62" type="section" level="1" n="60"> <head xml:id="echoid-head65" style="it" xml:space="preserve">¶ Idem aliter per tabulas Sinuum.</head> <p> <s xml:id="echoid-s1212" xml:space="preserve">QVa autem via locorum viatorias diſtantias per <lb/>Tabulas Sinuum faciliori computu dignoſcere <lb/>poſſis candide Lector, paucis prælibatis cogno-<lb/>ſces. </s> <s xml:id="echoid-s1213" xml:space="preserve">Complures enim noſtri temporis reperiun <lb/>tur homines, qui Arithmeticam, Mathematicæ <lb/>diſciplinæ principium, matrem, atq; </s> <s xml:id="echoid-s1214" xml:space="preserve">radicem, ab <lb/>horrent & </s> <s xml:id="echoid-s1215" xml:space="preserve">deteſtantur, & </s> <s xml:id="echoid-s1216" xml:space="preserve">ſurda aure vt Syrenas <lb/>pertranſeunt. </s> <s xml:id="echoid-s1217" xml:space="preserve">Quapropter hij homines nullo fundo muniti, huius ar <lb/>tis aciem haud facilè pertingere aut nanciſci poſſunt. </s> <s xml:id="echoid-s1218" xml:space="preserve">Vt autẽ omnia <lb/>cruditis, & </s> <s xml:id="echoid-s1219" xml:space="preserve">in Mathematica mediocriter exercitatis eſſent apertiſſi-<lb/>ma, hunc modum addere propoſuimus. </s> <s xml:id="echoid-s1220" xml:space="preserve">Datis duorum locorum aut <lb/>Oppidorũ longitudinib. </s> <s xml:id="echoid-s1221" xml:space="preserve">& </s> <s xml:id="echoid-s1222" xml:space="preserve">latitudinib. </s> <s xml:id="echoid-s1223" xml:space="preserve">eorum differentiam in longi <lb/>tudine elicias. </s> <s xml:id="echoid-s1224" xml:space="preserve">Qua habita, multiplica Sinum rectum differentiæ lon <lb/>gitudinis in Sinum cõplementi latitudinis minoris. </s> <s xml:id="echoid-s1225" xml:space="preserve">Dehinc procrea <lb/>tosex multiplicatione numeros diuide per Sinum totum, quotientis <lb/>quære arcum, ſecundum doctrinam Tabularum habebis Inuentum <lb/>primũ. </s> <s xml:id="echoid-s1226" xml:space="preserve">Siverò multiplicaueris Sinum latitudinis minoris per Sinum <lb/>totum, & </s> <s xml:id="echoid-s1227" xml:space="preserve">productum diuiſeris per Sinum complementi primi inuen <lb/>ti, & </s> <s xml:id="echoid-s1228" xml:space="preserve">arcu quotientis ex latitudine maiori ſublato, reſultat Inuẽtum <lb/>ſecundum. </s> <s xml:id="echoid-s1229" xml:space="preserve">Præterea due<unsure/> Sinum complementi primi Inuenti in Si-<lb/>num complementi ſecundi Inuenti, numerũ productum diuide per <lb/>Sinum totum, quotientis arcum de quadrante ſubtrahito, remanent <lb/>tandem gradus maximi circuli, quos reſolue in miliaria, emergit eo-<lb/>rum locorum viatoria elongatio, quam oportuit inuenire.</s> <s xml:id="echoid-s1230" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div63" type="section" level="1" n="61"> <head xml:id="echoid-head66" style="it" xml:space="preserve">¶ Huiuſcemodi formulæ hanc exemplarem <lb/>ſume computationem.</head> <p> <s xml:id="echoid-s1231" xml:space="preserve">HIeroſolyma Paleſtinæ Iudææ ciuitas, vbi paſſus eſt Ieſus <lb/>Chriſtus ſaluator noſter, in longitudine habet (vt Pto. <lb/></s> <s xml:id="echoid-s1232" xml:space="preserve">aſſerit) gradus. </s> <s xml:id="echoid-s1233" xml:space="preserve">66. </s> <s xml:id="echoid-s1234" xml:space="preserve">o. </s> <s xml:id="echoid-s1235" xml:space="preserve">in latitud. </s> <s xml:id="echoid-s1236" xml:space="preserve">autem gradus. </s> <s xml:id="echoid-s1237" xml:space="preserve">31.</s> <s xml:id="echoid-s1238" xml:space="preserve">40. </s> <s xml:id="echoid-s1239" xml:space="preserve">Nu <lb/>renberga verò ciuitas Germaniæ famatiſſima, in longi-<lb/>tudine continet gradus. </s> <s xml:id="echoid-s1240" xml:space="preserve">28.</s> <s xml:id="echoid-s1241" xml:space="preserve">20. </s> <s xml:id="echoid-s1242" xml:space="preserve">& </s> <s xml:id="echoid-s1243" xml:space="preserve">in latitudine gradus 49.</s> <s xml:id="echoid-s1244" xml:space="preserve">24 Subtraho <lb/>igitur longitudinem minorem à maiori, & </s> <s xml:id="echoid-s1245" xml:space="preserve">reſiduo diſtantiam gra. </s> <s xml:id="echoid-s1246" xml:space="preserve">37 <lb/>mi 40. </s> <s xml:id="echoid-s1247" xml:space="preserve">iſtorum Sinus eſt. </s> <s xml:id="echoid-s1248" xml:space="preserve">36664. </s> <s xml:id="echoid-s1249" xml:space="preserve">Similiter pone latitu. </s> <s xml:id="echoid-s1250" xml:space="preserve">miuorẽ.</s> <s xml:id="echoid-s1251" xml:space="preserve">ſ. </s> <s xml:id="echoid-s1252" xml:space="preserve">gra.</s> <s xml:id="echoid-s1253" xml:space="preserve">31 <lb/>mi.</s> <s xml:id="echoid-s1254" xml:space="preserve">40. </s> <s xml:id="echoid-s1255" xml:space="preserve">cuius Sinus eſt. </s> <s xml:id="echoid-s1256" xml:space="preserve">31498. </s> <s xml:id="echoid-s1257" xml:space="preserve">Conſimiliter complementũ eiuſdẽ cum <lb/>Sinubus gra. </s> <s xml:id="echoid-s1258" xml:space="preserve">58.</s> <s xml:id="echoid-s1259" xml:space="preserve">20. </s> <s xml:id="echoid-s1260" xml:space="preserve">Sinus verò. </s> <s xml:id="echoid-s1261" xml:space="preserve">51067. </s> <s xml:id="echoid-s1262" xml:space="preserve">His habitis multiplico Sinum <lb/>differentiæ lon. </s> <s xml:id="echoid-s1263" xml:space="preserve">in Sinum complementi latit. </s> <s xml:id="echoid-s1264" xml:space="preserve">minoris, & </s> <s xml:id="echoid-s1265" xml:space="preserve">procreo. </s> <s xml:id="echoid-s1266" xml:space="preserve"><lb/>1872320488. </s> <s xml:id="echoid-s1267" xml:space="preserve">numerus ille diuiſus per Sinum totũ, ſcilicet. </s> <s xml:id="echoid-s1268" xml:space="preserve">60000. </s> <s xml:id="echoid-s1269" xml:space="preserve">col <lb/>ligitur in quotiente Sinus. </s> <s xml:id="echoid-s1270" xml:space="preserve">ſ. </s> <s xml:id="echoid-s1271" xml:space="preserve">31205. </s> <s xml:id="echoid-s1272" xml:space="preserve">cuius arcus gra. </s> <s xml:id="echoid-s1273" xml:space="preserve">31. </s> <s xml:id="echoid-s1274" xml:space="preserve">minu.</s> <s xml:id="echoid-s1275" xml:space="preserve">20.</s> <s xml:id="echoid-s1276" xml:space="preserve">quod <lb/>primum Inuentum appellari libuit. </s> <s xml:id="echoid-s1277" xml:space="preserve">Deinde duco Sinũ lati. </s> <s xml:id="echoid-s1278" xml:space="preserve">minoris <lb/>ſcilicet. </s> <s xml:id="echoid-s1279" xml:space="preserve">31498. </s> <s xml:id="echoid-s1280" xml:space="preserve">in Sinum totum, reſultat. </s> <s xml:id="echoid-s1281" xml:space="preserve">1889880000. </s> <s xml:id="echoid-s1282" xml:space="preserve">ſi´q; </s> <s xml:id="echoid-s1283" xml:space="preserve">illud pro-<lb/>d<unsure/>uctum diuiſero per Sinum cõplementi Inuenti primi.</s> <s xml:id="echoid-s1284" xml:space="preserve">ſ.</s> <s xml:id="echoid-s1285" xml:space="preserve">51249. </s> <s xml:id="echoid-s1286" xml:space="preserve">com <pb o="Fo.20" file="045" n="45" rhead="GRAPH. PETRIAP."/> perio. </s> <s xml:id="echoid-s1287" xml:space="preserve">36876. </s> <s xml:id="echoid-s1288" xml:space="preserve">cuius arcus eſt gra.</s> <s xml:id="echoid-s1289" xml:space="preserve">37.</s> <s xml:id="echoid-s1290" xml:space="preserve">mi.</s> <s xml:id="echoid-s1291" xml:space="preserve">55.</s> <s xml:id="echoid-s1292" xml:space="preserve">quẽ de lati. </s> <s xml:id="echoid-s1293" xml:space="preserve">maiori demo, <lb/>remanet Inuentũ ſecundũ gra.</s> <s xml:id="echoid-s1294" xml:space="preserve">11.</s> <s xml:id="echoid-s1295" xml:space="preserve">mi.</s> <s xml:id="echoid-s1296" xml:space="preserve">29. </s> <s xml:id="echoid-s1297" xml:space="preserve">Poſt hæc multiplico Sinum <lb/>complementi primi Inuenti, & </s> <s xml:id="echoid-s1298" xml:space="preserve">Sinum complementi ſecũdi Inuẽti, <lb/>creſcit. </s> <s xml:id="echoid-s1299" xml:space="preserve">3013338702. </s> <s xml:id="echoid-s1300" xml:space="preserve">quem ſi diuiſero per Sinum totum, elicitur nu-<lb/>merus. </s> <s xml:id="echoid-s1301" xml:space="preserve">50222. </s> <s xml:id="echoid-s1302" xml:space="preserve">arcũ eiuſdẽ ſcilicet gra.</s> <s xml:id="echoid-s1303" xml:space="preserve">56.</s> <s xml:id="echoid-s1304" xml:space="preserve">mi.</s> <s xml:id="echoid-s1305" xml:space="preserve">50. </s> <s xml:id="echoid-s1306" xml:space="preserve">de quadrante demo, <lb/>reſiduabo numerum propè gra.</s> <s xml:id="echoid-s1307" xml:space="preserve">33. </s> <s xml:id="echoid-s1308" xml:space="preserve">mi.</s> <s xml:id="echoid-s1309" xml:space="preserve">10. </s> <s xml:id="echoid-s1310" xml:space="preserve">quem reduco in miliaria, <lb/>proueniunt miliaria Germana. </s> <s xml:id="echoid-s1311" xml:space="preserve">497. </s> <s xml:id="echoid-s1312" xml:space="preserve">cum dimidio inter Nurenber-<lb/>gam & </s> <s xml:id="echoid-s1313" xml:space="preserve">Hieruſalem, quod inuenire decreueram.</s> <s xml:id="echoid-s1314" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div64" type="section" level="1" n="62"> <head xml:id="echoid-head67" style="it" xml:space="preserve">¶ Ocularis operatio huius exempli.</head> <note position="right" xml:space="preserve"> <lb/>Hieroſolyma 66.0.31.40. # Nurenberga. 28.20.49.24. <lb/>Differentia longitudinis 37.40. # Sinus. 36664. <lb/>Latitudo minor 31.40 # Sinus. 31498. <lb/>Complementum eiuſdem 58.20. # Sinus. 51067. <lb/>Primum Inuentum 31.20. <lb/>Complementum eiuſdem 58.40 # Sinus. 51249 <lb/>Latitudo maior 49.24. # Inuentum ſecundum 1129. <lb/>Complementum eiuſdem 78.31 # Sinus. 58798. <lb/>## Arcus inuentus,ſ.gr.56.50.de quadrante manent.33.gra.10.mi. \\ facit Miliaria Germana 467 {1/2} <lb/></note> </div> <div xml:id="echoid-div65" type="section" level="1" n="63"> <head xml:id="echoid-head68" style="it" xml:space="preserve">QVOMODO GLOBVS COSMOGRAPH. <lb/>ad mundi cardines, & ad quancunq; Regionẽ, Prouinciã, <lb/>aut oppidum, rectè ſit aptandus. CAP. XIIII.</head> <p> <s xml:id="echoid-s1315" xml:space="preserve">COnſiderandum igitur, quòd terra in mundi medio <lb/>exiſtens, ſecundum cœli motũ diſtinguitur in qua <lb/>tuor partes, quas aut cardines, aut angulos appella <lb/>mus, ſcilicet, Ortum, Occaſum, Meridiẽ & </s> <s xml:id="echoid-s1316" xml:space="preserve">Septen-<lb/>trionẽ. </s> <s xml:id="echoid-s1317" xml:space="preserve">Oriens dicitur, vnde Sol in horizonte exor <lb/>tiuo primũ emergit. </s> <s xml:id="echoid-s1318" xml:space="preserve">Occidens verò quo demergi-<lb/>tur. </s> <s xml:id="echoid-s1319" xml:space="preserve">Qua%B4;</s> <s xml:id="echoid-s1320" xml:space="preserve">q; </s> <s xml:id="echoid-s1321" xml:space="preserve">decurrit Meridies, ab aduerſa parte Se-<lb/>ptentrio. </s> <s xml:id="echoid-s1322" xml:space="preserve">Iſti quidem quatuor anguli in alueo ſeu armilla Horizon-<lb/>tis globi ſemper debent eſſe ſcripti. </s> <s xml:id="echoid-s1323" xml:space="preserve">His prælibatis ad verum orbis <lb/>ſitum deſcendamus. </s> <s xml:id="echoid-s1324" xml:space="preserve">Inprimis igitur dædalico ligno adaptabis aream <lb/>acuratius planatam, æquidiſtantem horizonti, in qua conſtituas li-<lb/>neã meridianã, ſuper quã pone alueum orbis: </s> <s xml:id="echoid-s1325" xml:space="preserve">ita, quòd vera ſuperfi-<lb/>cies meridiani mobilis directè correſpondeat lineæ meridianæ. </s> <s xml:id="echoid-s1326" xml:space="preserve">Vel <lb/>aliter: </s> <s xml:id="echoid-s1327" xml:space="preserve">Applica organum viatoriũ (quod vulgò Compaſſus dicitur) <lb/>Meridiano mobili, alueum cum globo huc & </s> <s xml:id="echoid-s1328" xml:space="preserve">illuc voluendo, donec <lb/>lingulæ ſeu furceilæ concordant, & </s> <s xml:id="echoid-s1329" xml:space="preserve">habebis cœli & </s> <s xml:id="echoid-s1330" xml:space="preserve">terræ cardines <lb/>ſiue angulos iuſtè poſitos. </s> <s xml:id="echoid-s1331" xml:space="preserve">Deinde, alueo ſtante, ſubleua armillam me <lb/>ridianam cum puncto (qui polus arcticus dicitur) axem terminãte <lb/>in parte Septentrionali, ſupra harizontem, donec numerus graduũ <lb/>eleuationis poli, ſiue latitudinis terræ in arcu inter polum & </s> <s xml:id="echoid-s1332" xml:space="preserve">horizõ-<lb/>tem cõcluſo cernatur. </s> <s xml:id="echoid-s1333" xml:space="preserve">Poſtea moue globum huc & </s> <s xml:id="echoid-s1334" xml:space="preserve">illuc, quouſque <pb file="046" n="46" rhead="PRIMA PARS COSMO."/> regio aut locus tuæ habitationis cadat ſubtus veram armillæ meri-<lb/>diei ſuperficiem. </s> <s xml:id="echoid-s1335" xml:space="preserve">Et ſic habebis globum exactè poſitum pro tua ha <lb/>bitatione. </s> <s xml:id="echoid-s1336" xml:space="preserve">Poſthæc ſigillatim omnia cõtuere, ſcilicet cardines, & </s> <s xml:id="echoid-s1337" xml:space="preserve">alias <lb/>terrę diuiſiones, puta Climata, Parallelos, quid infrà, quidve ſupra ho <lb/>rizonta cõtineatur, quæ inquam regiones in Orientis parte ſint, quæ <lb/>in Occidente, vbi terra ſolida procedat, vbi ſe coarctet, vbi ſe iterum <lb/>in latitudinem effundat, vbi pelagus immittat, vbi rurſus littora ex-<lb/>pandat, & </s> <s xml:id="echoid-s1338" xml:space="preserve">ab æquoribus excipiatur, vbi montes exurgant, vbi ſcatu-<lb/>rigines fluminum euomant, & </s> <s xml:id="echoid-s1339" xml:space="preserve">id genus alia, vnico quaſi momento <lb/>tanquam in aere volans perluſtrare & </s> <s xml:id="echoid-s1340" xml:space="preserve">diſcere queas. </s> <s xml:id="echoid-s1341" xml:space="preserve">Huius doctri-<lb/>næ ſequitur formula.</s> <s xml:id="echoid-s1342" xml:space="preserve"/> </p> <figure> <image file="046-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/046-01"/> <caption xml:id="echoid-caption19" style="it" xml:space="preserve">ZENITH.</caption> </figure> <pb o="Fo.21" file="047" n="47" rhead="GRAPH. PETRI APIANI."/> </div> <div xml:id="echoid-div66" type="section" level="1" n="64"> <head xml:id="echoid-head69" style="it" xml:space="preserve">¶ Pro inuentione lineæ meridianæ ſequuntur tres modi.</head> <p> <s xml:id="echoid-s1343" xml:space="preserve">QVemadmodũ meridiana linea vulgari inuentio <lb/>ne ducenda ſit, pauciſſimis verbis demonſtrabo: <lb/></s> <s xml:id="echoid-s1344" xml:space="preserve">Fac igitur (officio fabrorũ & </s> <s xml:id="echoid-s1345" xml:space="preserve">lapicidarum regu-<lb/>la, quæ amuſſis dicitur) ſuperficiem planam atq; </s> <s xml:id="echoid-s1346" xml:space="preserve"><lb/>politam ad æquidiſtantiã horizontis, in qua fige <lb/>filum ferreũ orthogonaliter in. </s> <s xml:id="echoid-s1347" xml:space="preserve">C. </s> <s xml:id="echoid-s1348" xml:space="preserve">ſigno, Deinde <lb/>ante meridiẽ (Sole radiante) obſerua vmbrę ſtili <lb/>ferrei extremitatem, ibi notetur. </s> <s xml:id="echoid-s1349" xml:space="preserve">A, ſuper quam ex. </s> <s xml:id="echoid-s1350" xml:space="preserve">C, centro, expan-<lb/>de circinum, & </s> <s xml:id="echoid-s1351" xml:space="preserve">deſcribe portionem circuli, vel ſemicirculũ. </s> <s xml:id="echoid-s1352" xml:space="preserve">Poſt me-<lb/>ridiem iterum diligenter obſerua vmbræ ſtili extremitatem, quæ ad <lb/>eandem circuli peripheriam deficiat in puncto, B. </s> <s xml:id="echoid-s1353" xml:space="preserve">Portio itaq; </s> <s xml:id="echoid-s1354" xml:space="preserve">arcus <lb/>inter. </s> <s xml:id="echoid-s1355" xml:space="preserve">A, B, puncta, in duas partes ęquales diuidatur in puncto, D. </s> <s xml:id="echoid-s1356" xml:space="preserve">Tan <lb/>dem acta linea D, C, E, quantumcunq;</s> <s xml:id="echoid-s1357" xml:space="preserve">, habebis lineam meridianam <lb/>quam ducere decreueras, vt euidentiſſimè patet in figura ſequenti.</s> <s xml:id="echoid-s1358" xml:space="preserve"/> </p> <figure> <image file="047-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/047-01"/> </figure> </div> <div xml:id="echoid-div67" type="section" level="1" n="65"> <head xml:id="echoid-head70" style="it" xml:space="preserve">¶ Idem aliter per organum ſpeciale.</head> <p> <s xml:id="echoid-s1359" xml:space="preserve">PEr inſtrumentum azimutale huic libello inſertũ <lb/>meridianam lineam in quauis habitatione omni <lb/>diei hora facile diſcernes, ſi prius particularem in <lb/>ſtrumenti declarationem diligenter perſpexeris. <lb/></s> <s xml:id="echoid-s1360" xml:space="preserve">Eſt itaq; </s> <s xml:id="echoid-s1361" xml:space="preserve">hoc inſtrumentum diuiſum in duo, ſcili <lb/>cet inferius & </s> <s xml:id="echoid-s1362" xml:space="preserve">ſuperius hemiſphæria, per lineam <lb/>videlicet horizontalem, quæ quidem linea breui <lb/>bus quibuſdam diſtincta ſpaciolis, quorum ſingula à centro vſq; </s> <s xml:id="echoid-s1363" xml:space="preserve">ad <lb/>66. </s> <s xml:id="echoid-s1364" xml:space="preserve">gradum, vnum tantum gradum, reliqua vero in vtraq; </s> <s xml:id="echoid-s1365" xml:space="preserve">parte vſq; </s> <s xml:id="echoid-s1366" xml:space="preserve"><lb/>ad limbum exteriorum quinos gradus repręſentant, & </s> <s xml:id="echoid-s1367" xml:space="preserve">horizontis di <lb/>uiſionem definiunt. </s> <s xml:id="echoid-s1368" xml:space="preserve">Huiuſmodi inquam diuiſionis numerum oppor <lb/>tunè de. </s> <s xml:id="echoid-s1369" xml:space="preserve">10. </s> <s xml:id="echoid-s1370" xml:space="preserve">in. </s> <s xml:id="echoid-s1371" xml:space="preserve">10. </s> <s xml:id="echoid-s1372" xml:space="preserve">ſubnotaui. </s> <s xml:id="echoid-s1373" xml:space="preserve">Porro, à ſingulis denarijs aſcendunt li-<lb/>neæ curuæ concurſim in zenith petentes. </s> <s xml:id="echoid-s1374" xml:space="preserve">hæ quidem lineę azimuth, <lb/>denos´q; </s> <s xml:id="echoid-s1375" xml:space="preserve">eorum gra. </s> <s xml:id="echoid-s1376" xml:space="preserve">in ſuperiori hemiſphærio diſtinguunt. </s> <s xml:id="echoid-s1377" xml:space="preserve">Centrum <lb/>quidem inſtrumenti tenet locum orientis, & </s> <s xml:id="echoid-s1378" xml:space="preserve">occidentis, extremita-<lb/>tes verò circa limbum, meridiem & </s> <s xml:id="echoid-s1379" xml:space="preserve">ſeptentrionem. </s> <s xml:id="echoid-s1380" xml:space="preserve">Huic tandem in <lb/>ſtrumento adiacent duæ ſcalæ exiguæ ab extremitatibus horizontis <pb file="048" n="48" rhead="PRIMA PARS COSMO"/> diametri aſcendentes, quas altitudinis ſcalas haud temere quiſpiam <lb/>appellauerit, quarum vnaquæq;</s> <s xml:id="echoid-s1381" xml:space="preserve">. 90. </s> <s xml:id="echoid-s1382" xml:space="preserve">gra. </s> <s xml:id="echoid-s1383" xml:space="preserve">continet. </s> <s xml:id="echoid-s1384" xml:space="preserve">Sunt aũt azimuth <lb/>circuli exeũtes à polo horizontis (quẽ zenith vocant) per horizon-<lb/>tem, & </s> <s xml:id="echoid-s1385" xml:space="preserve">ſunt circuli poſitionis verticales & </s> <s xml:id="echoid-s1386" xml:space="preserve">directionis, qui germa-<lb/>na noſtra linga poſſunt dici wuhinauſz. </s> <s xml:id="echoid-s1387" xml:space="preserve">Zenith ſiue vertex eſt pun <lb/>ctum directe ſuper caput alicuius. </s> <s xml:id="echoid-s1388" xml:space="preserve">Hæc de particulari declaratione, <lb/>nunc commoditatem & </s> <s xml:id="echoid-s1389" xml:space="preserve">vſum eius dicemus.</s> <s xml:id="echoid-s1390" xml:space="preserve"/> </p> <figure> <image file="048-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/048-01"/> <caption xml:id="echoid-caption20" xml:space="preserve">Zenith.</caption> </figure> <pb o="Fo.22" file="049" n="49" rhead="GRAPH. PETRI APIANI."/> </div> <div xml:id="echoid-div68" type="section" level="1" n="66"> <head xml:id="echoid-head71" style="it" xml:space="preserve">V S V S.</head> <p> <s xml:id="echoid-s1391" xml:space="preserve">OBſerua diligenter Solis altitudinem per primam Cap. </s> <s xml:id="echoid-s1392" xml:space="preserve">ix. <lb/></s> <s xml:id="echoid-s1393" xml:space="preserve">& </s> <s xml:id="echoid-s1394" xml:space="preserve">per quintam eiuſdem, horam æquinoctialem pro die <lb/>oblato, & </s> <s xml:id="echoid-s1395" xml:space="preserve">temporis eodé momento in quo meridianam <lb/>lineam ducere velis. </s> <s xml:id="echoid-s1396" xml:space="preserve">Filo ſic liberè dependente, trigono´q; </s> <s xml:id="echoid-s1397" xml:space="preserve">inuariato <lb/>manente, ſiſte pedem circini in punctum trigoni, cui filum perpen-<lb/>diculi innectitur, & </s> <s xml:id="echoid-s1398" xml:space="preserve">alio extento in notam interſectionis perpendi-<lb/>culi, & </s> <s xml:id="echoid-s1399" xml:space="preserve">lineæ æquidiſtantis ſigni aut grad. </s> <s xml:id="echoid-s1400" xml:space="preserve">Solis, pro dato die, hoc eſt, <lb/>in punctum horæ iam inuentæ, & </s> <s xml:id="echoid-s1401" xml:space="preserve">eam circini extenſionẽ immotam <lb/>ſerua. </s> <s xml:id="echoid-s1402" xml:space="preserve">Deinde ingredere præcedens inſtrumentum, & </s> <s xml:id="echoid-s1403" xml:space="preserve">ſupputa altitu <lb/>dinem Solis per propoſitionem primam Noni inuentam in ſcalis al <lb/>tudinũ, & </s> <s xml:id="echoid-s1404" xml:space="preserve">imprime notas, quibus cordam ſubtilem, regulamentum, <lb/>aut occultam lineam ſuperextendito. </s> <s xml:id="echoid-s1405" xml:space="preserve">In punctũ igitur limbi & </s> <s xml:id="echoid-s1406" xml:space="preserve">cor-<lb/>dæ attactus, in parte dextra pes vnus circini immittatur, & </s> <s xml:id="echoid-s1407" xml:space="preserve">circino <lb/>inuariato deſcribe circulum occultum verſus ſiniſtram vſq; </s> <s xml:id="echoid-s1408" xml:space="preserve">ad con-<lb/>tactum cordę aut regulæ, ibiq́; </s> <s xml:id="echoid-s1409" xml:space="preserve">pinge notam, mox enim illa inter cir <lb/>culos verticales, ſeu azimuthales, optatũ azimuth indicabit. </s> <s xml:id="echoid-s1410" xml:space="preserve">Habito <lb/>gradu verticali, ſeu azimuthali, accipe aſſerem æqualis ſuperficiei & </s> <s xml:id="echoid-s1411" xml:space="preserve"><lb/>politè quadratum, cuius ſingula latera in duas ęquas partes diuidito. </s> <s xml:id="echoid-s1412" xml:space="preserve"><lb/>Sint itaq; </s> <s xml:id="echoid-s1413" xml:space="preserve">diuiſionis notæ, A B C D, & </s> <s xml:id="echoid-s1414" xml:space="preserve">A C, B D, rectis connectantur <lb/>lineis, quæ ſe inuicem diſpeſcant in. </s> <s xml:id="echoid-s1415" xml:space="preserve">E, ſigno, ad rectos angulos. </s> <s xml:id="echoid-s1416" xml:space="preserve">erit <lb/>itaq; </s> <s xml:id="echoid-s1417" xml:space="preserve">ſignum orientis. </s> <s xml:id="echoid-s1418" xml:space="preserve">C. </s> <s xml:id="echoid-s1419" xml:space="preserve">occidentis. </s> <s xml:id="echoid-s1420" xml:space="preserve">A. </s> <s xml:id="echoid-s1421" xml:space="preserve">B, meridiei. </s> <s xml:id="echoid-s1422" xml:space="preserve">D, verò ſeptentrio <lb/>nis. </s> <s xml:id="echoid-s1423" xml:space="preserve">Deinde diſtenſis circini pedibus, ex. </s> <s xml:id="echoid-s1424" xml:space="preserve">E, centro quantumuis deſcri <lb/>be circulum, qui orthogonali linearum ſectione in quatuor quadran <lb/>tes ſecetur, Eaſdem deniq; </s> <s xml:id="echoid-s1425" xml:space="preserve">quartas diuide more Aſtronomico in par <lb/>tes ſeu gr. </s> <s xml:id="echoid-s1426" xml:space="preserve">90. </s> <s xml:id="echoid-s1427" xml:space="preserve">poſtea in. </s> <s xml:id="echoid-s1428" xml:space="preserve">E, centro, fige ſtilum teretem orthogonaliter. </s> <s xml:id="echoid-s1429" xml:space="preserve"><lb/>Tandem ad æquidiſtantiam horizontis coaptabis aream planam, ſu <lb/>per quam pone quadratũ illud, ita vt. </s> <s xml:id="echoid-s1430" xml:space="preserve">B, punctum verſus meridiem, <lb/>D, verò Septentrionem verſus porrigatur. </s> <s xml:id="echoid-s1431" xml:space="preserve">Poſt hæc verifica quadra-<lb/>tum, donec vmbra ſtili ſuper gradum verticalem prius ex radijs ſo-<lb/>laribus obſeruatum coincidat. </s> <s xml:id="echoid-s1432" xml:space="preserve">Et latus. </s> <s xml:id="echoid-s1433" xml:space="preserve">A, aut oppoſitum aſſumitur <lb/>pro vera linea meridiana. </s> <s xml:id="echoid-s1434" xml:space="preserve">Cui adiungitur regulamentum, & </s> <s xml:id="echoid-s1435" xml:space="preserve">agatur <lb/>linea infinitæ longitudinis, quod oportebat inuenire.</s> <s xml:id="echoid-s1436" xml:space="preserve"/> </p> <figure> <image file="049-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/049-01"/> </figure> <pb file="050" n="50" rhead="PRIMA PARS COSMO"/> <p> <s xml:id="echoid-s1437" xml:space="preserve">SEquitur alia & </s> <s xml:id="echoid-s1438" xml:space="preserve">exacta lineæ meridianæ inuentio, quæ <lb/>eandem interdiu & </s> <s xml:id="echoid-s1439" xml:space="preserve">noctu per organũ viatorium (quod <lb/>vulgo Compaſſus dicitur) & </s> <s xml:id="echoid-s1440" xml:space="preserve">in quouis plano dicto ci-<lb/>tius in hunc fere modum inuenire docet. </s> <s xml:id="echoid-s1441" xml:space="preserve">Pone igitur <lb/>ſuper plano normato Compaſſum ad æquidiſtantiam <lb/>horizontis, ita quod eius lingula (quæ magnetis idiotropiam gerit) <lb/>ſtigmaticæ lingulæ, neutrorſum declinans, adunguem conueniat. <lb/></s> <s xml:id="echoid-s1442" xml:space="preserve">Cuiiam applica regulam, ita vt vna extremitas regulæ ad Auſtrum, <lb/>altera ad Aquilonem ſpectet: </s> <s xml:id="echoid-s1443" xml:space="preserve">& </s> <s xml:id="echoid-s1444" xml:space="preserve">ſi longitudinis infinitæ lineam di-<lb/>rectam ſecundum latus regulæ (vt moris eſt) traduxeris, habebis li-<lb/>neam meridianam quam quærebas. </s> <s xml:id="echoid-s1445" xml:space="preserve">Quæ res vt clarius intelligatur, <lb/>accipe figuram ſequentem.</s> <s xml:id="echoid-s1446" xml:space="preserve"/> </p> <figure> <image file="050-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/050-01"/> </figure> </div> <div xml:id="echoid-div69" type="section" level="1" n="67"> <head xml:id="echoid-head72" xml:space="preserve">DE VENTIS. CAP. XV.</head> <p> <s xml:id="echoid-s1447" xml:space="preserve">VEntus eſt exhalatio calida & </s> <s xml:id="echoid-s1448" xml:space="preserve">ſicca in viſceribꝰ <lb/>terrę generata, quę cùm egreſſa lateraliter cir-<lb/>ca terrã mouetur, & </s> <s xml:id="echoid-s1449" xml:space="preserve">vẽtus nominatur. </s> <s xml:id="echoid-s1450" xml:space="preserve">Et. </s> <s xml:id="echoid-s1451" xml:space="preserve">12. </s> <s xml:id="echoid-s1452" xml:space="preserve">eo <lb/>rũ ſunt, quibus veteres nautę fuerũt vſi, nomi-<lb/>na. </s> <s xml:id="echoid-s1453" xml:space="preserve">Quorum quatuor Cardinales ſeu principa <lb/>les ſunt, reliqui omnes collaterales vocitãtur. <lb/></s> <s xml:id="echoid-s1454" xml:space="preserve">Primus itaq; </s> <s xml:id="echoid-s1455" xml:space="preserve">ventorum Cardinaliũ eſt Auſter, <lb/>Meridionalis, calidus & </s> <s xml:id="echoid-s1456" xml:space="preserve">humidus, aſſimilatur <lb/>ae<unsure/>ri, Sanguineꝰ, fulmineꝰ, facit pluuias latiſſimas, largas nutrit nubes, <lb/>peſtilentiã & </s> <s xml:id="echoid-s1457" xml:space="preserve">ægritudines multas progenerat. </s> <s xml:id="echoid-s1458" xml:space="preserve">Auſtro africus aëreus, <lb/>ægritudines & </s> <s xml:id="echoid-s1459" xml:space="preserve">pluuias facit. </s> <s xml:id="echoid-s1460" xml:space="preserve">Euroauſter verò aëreus, ægritudines & </s> <s xml:id="echoid-s1461" xml:space="preserve"><lb/>nubes prouocat. </s> <s xml:id="echoid-s1462" xml:space="preserve">Secundus ventorũ Cardinaliũ, Septentrionalis, Au-<lb/>ſtro oppoſitus, frigidus, & </s> <s xml:id="echoid-s1463" xml:space="preserve">ſiccus, Melancholicus, comparatur terræ, <lb/>negat pluuias, conſeruat ſanitatem, facit frigora arida, flores & </s> <s xml:id="echoid-s1464" xml:space="preserve">terræ <lb/>fructus lædit. </s> <s xml:id="echoid-s1465" xml:space="preserve">Aquilo gelidus & </s> <s xml:id="echoid-s1466" xml:space="preserve">ſiccus, terreus, ſine pluuia, lædit flo-<lb/>res: </s> <s xml:id="echoid-s1467" xml:space="preserve">Circius terreus, frigidus, & </s> <s xml:id="echoid-s1468" xml:space="preserve">ſiccus, facit ventorum giros, niuium <lb/>& </s> <s xml:id="echoid-s1469" xml:space="preserve">ventorum coagulationes. </s> <s xml:id="echoid-s1470" xml:space="preserve">Ab exortu æquinoctiali flat Subſola-<lb/>nus, Cardinalis, igneus, Cholericus, calidus & </s> <s xml:id="echoid-s1471" xml:space="preserve">ſiccus, temperatus, <pb o="Fo.23." file="051" n="51" rhead="GRAPH. PETRI AP."/> ſuauis, purus & </s> <s xml:id="echoid-s1472" xml:space="preserve">ſubtilis, nutrit nubes, etiã corpora in ſanitate cuſto-<lb/>dit, flores ꝓducit. </s> <s xml:id="echoid-s1473" xml:space="preserve">Helleſpontius verò ſolſticialis æſtiuus oĩa deſiccat. <lb/></s> <s xml:id="echoid-s1474" xml:space="preserve">Poſtremò in æquatoris occaſu Fauonius frigidus & </s> <s xml:id="echoid-s1475" xml:space="preserve">humid. </s> <s xml:id="echoid-s1476" xml:space="preserve">Phleg-<lb/>maticus, frigora relaxat, flores educit, morbos, pluuias & </s> <s xml:id="echoid-s1477" xml:space="preserve">tonitrua fa-<lb/>cit. </s> <s xml:id="echoid-s1478" xml:space="preserve">Eandem ferè collaterales, ſcil. </s> <s xml:id="echoid-s1479" xml:space="preserve">Africus & </s> <s xml:id="echoid-s1480" xml:space="preserve">Chorus naturam habẽt.</s> <s xml:id="echoid-s1481" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div70" type="section" level="1" n="68"> <head xml:id="echoid-head73" xml:space="preserve">De neotericorũ Hy drographorum <lb/>ventis, & de nauigandi artificio, de´que inuenienda longi <lb/>tudinis differentia. Additio GEM. FRISII.</head> <p> <s xml:id="echoid-s1482" xml:space="preserve">HÆ C ſanè veterum ratio fuit, in ventorum <lb/>regionibus diſtinguendis, quemadmodũ ex <lb/>Ariſtotele, Au. </s> <s xml:id="echoid-s1483" xml:space="preserve">Gel. </s> <s xml:id="echoid-s1484" xml:space="preserve">Macrobio, ac alijs multis <lb/>colligere licet. </s> <s xml:id="echoid-s1485" xml:space="preserve">Verùm Hydrographi recentio <lb/>res ad exquiſitiorẽ nauigãdi rationẽ ſpectare <lb/>putarũt, vt in multò plures regiones ventorũ <lb/>terrę maris´q; </s> <s xml:id="echoid-s1486" xml:space="preserve">fuperficiem diſtinguerent. </s> <s xml:id="echoid-s1487" xml:space="preserve">Itaq; <lb/></s> <s xml:id="echoid-s1488" xml:space="preserve">32. </s> <s xml:id="echoid-s1489" xml:space="preserve">ventos diſtinguũt. </s> <s xml:id="echoid-s1490" xml:space="preserve">Quorũ quatuor tantũ, <lb/>qui cardines occupant, cum veterũ deſcriptione cõgruunt, Subſola-<lb/>nus, Fauonius, Septẽtrio, & </s> <s xml:id="echoid-s1491" xml:space="preserve">Auſter: </s> <s xml:id="echoid-s1492" xml:space="preserve">Atq; </s> <s xml:id="echoid-s1493" xml:space="preserve">hi in quatuor quadrantes, <lb/>totũ orbẽ ſecant: </s> <s xml:id="echoid-s1494" xml:space="preserve">ac deinceps inter hos. </s> <s xml:id="echoid-s1495" xml:space="preserve">8. </s> <s xml:id="echoid-s1496" xml:space="preserve">medios æquis interuallis <lb/>diſtinguũt, nominant´q; </s> <s xml:id="echoid-s1497" xml:space="preserve">nominibus cõpoſitis ex quatuor pręcipuis <lb/>ventorũ nominibus dictis. </s> <s xml:id="echoid-s1498" xml:space="preserve">Quẽadmodũ clarius ex ſchemate ſequẽti <lb/>cõſpicere licet, in quo hoc præſtitimus, vt cognita differentia longi-<lb/>tudinis & </s> <s xml:id="echoid-s1499" xml:space="preserve">latitud. </s> <s xml:id="echoid-s1500" xml:space="preserve">duorum locorum, facilè ſciri poſſit, in quam cœli <lb/>plagã dirigẽda ſit prora, ab vno loco in alium nauigantibus, aut quo <lb/>vento duce eò ſit tendendũ: </s> <s xml:id="echoid-s1501" xml:space="preserve">Locũ enim, à quo abeundum eſt, in cen <lb/>tro inſtrumenti conſtituimus: </s> <s xml:id="echoid-s1502" xml:space="preserve">deinde differentiam longitudinis in <lb/>ſuperiori ordine & </s> <s xml:id="echoid-s1503" xml:space="preserve">inferiori numeramus, à media linea dextror-<lb/>ſum, ſi longitudo lociad quem tendimus maior ſit, aut magis in or-<lb/>tum tendat: </s> <s xml:id="echoid-s1504" xml:space="preserve">ab eadem verò linea ſiniſtrorſum in vtroque ordine, ſi <lb/>minor longitudo fuerit, aut occidentalior numeramus, atque his <lb/>punctis ſic inuentis, regulam applicamus, aut filum extenſum. </s> <s xml:id="echoid-s1505" xml:space="preserve">Eodẽ <lb/>modo differentiam latitudinum numeramus in dextro & </s> <s xml:id="echoid-s1506" xml:space="preserve">ſiniſtro <lb/>ordine quadrati, à media linea ſurſum, ſi latitudo ſecũda in Boream <lb/>maior fuerit: </s> <s xml:id="echoid-s1507" xml:space="preserve">deorſum verò, ſi latitudo loci ſecundi minor fuerit, aut <lb/>magis Auſtralis: </s> <s xml:id="echoid-s1508" xml:space="preserve">idq́ue vtrinq; </s> <s xml:id="echoid-s1509" xml:space="preserve">ex oppoſitis lateribus ſic faciendum, <lb/>deinde & </s> <s xml:id="echoid-s1510" xml:space="preserve">ex his quoq; </s> <s xml:id="echoid-s1511" xml:space="preserve">pũctis filum extendendũ eſt, aut regula appli <lb/>canda. </s> <s xml:id="echoid-s1512" xml:space="preserve">Vbi igitur duæ hæ regulæ, aut fila duo ſeſe ſecuerint, ibi ſe-<lb/>cũdi loci ad quem tendimus ſitus imaginandus eſt. </s> <s xml:id="echoid-s1513" xml:space="preserve">Demum centro <lb/>regula applicata & </s> <s xml:id="echoid-s1514" xml:space="preserve">loco iam inuento, oſtendet eandem mudi plagã, <lb/>in quam dirigenda prora eſt, nauigãtibus in illum locum. </s> <s xml:id="echoid-s1515" xml:space="preserve">E regione <lb/>verò ventus indicatur, quo duce opus erit. </s> <s xml:id="echoid-s1516" xml:space="preserve">Quôd ſi locorum propo-<lb/>ſitorum exiguæ admodum fuerint longitudinũ & </s> <s xml:id="echoid-s1517" xml:space="preserve">latitudinũ diffe-<lb/>rentiæ, tum denos ſingulos quadrati gradus, pro ſingulis vnitatibus <pb file="052" n="52" rhead="PRIMA PARS COSMO."/> æſtimare licebit: </s> <s xml:id="echoid-s1518" xml:space="preserve">fiet´q; </s> <s xml:id="echoid-s1519" xml:space="preserve">operatio longè perfectior. </s> <s xml:id="echoid-s1520" xml:space="preserve">Quòd ſi minutijs <lb/>tantũ explicantur differentiæ, tum ſinguli gradus quadrati, ſingulis <lb/>minutijs reſpõdebũt cõmodiſſimè. </s> <s xml:id="echoid-s1521" xml:space="preserve">Vice verſa quoq; </s> <s xml:id="echoid-s1522" xml:space="preserve">inter nauigan-<lb/>dum, ex differẽtia latitudinis cognita, & </s> <s xml:id="echoid-s1523" xml:space="preserve">plaga mundi in quã tendit <lb/>nauis, cognoſcetur longitudinis differẽtia peracta. </s> <s xml:id="echoid-s1524" xml:space="preserve">Numeratur enim <lb/>latitudo maior aut minor (vt antea dictũ eſt) à linea media: </s> <s xml:id="echoid-s1525" xml:space="preserve">& </s> <s xml:id="echoid-s1526" xml:space="preserve">termi <lb/>nis vtrinq; </s> <s xml:id="echoid-s1527" xml:space="preserve">applicatur regula, notatur´q; </s> <s xml:id="echoid-s1528" xml:space="preserve">contactus eius cum linea â <lb/>centro egreſſa, quæ plagam mundi refert in quã nauigatio facta eſt, <lb/>atq; </s> <s xml:id="echoid-s1529" xml:space="preserve">ibi punctus locatur. </s> <s xml:id="echoid-s1530" xml:space="preserve">Deinde regula ducitur per gradus ſupremi <lb/>ac infimi ordinis quadrati æquales numero, donec ipſa puncto iam <lb/>facto applicetur, Tum enim regula differentiam longitud. </s> <s xml:id="echoid-s1531" xml:space="preserve">quæſitam <lb/>indicabit. </s> <s xml:id="echoid-s1532" xml:space="preserve">Quod ſanè pulcherrimum eſt cognitu. </s> <s xml:id="echoid-s1533" xml:space="preserve">Nam magno qua-<lb/>drante aliquo, quotidie latitudo addiſcitur ex Solis altitudine meri-<lb/>diana aut ſtellarum ſumma altitudine, vt multis notiſſimum eſt. <lb/></s> <s xml:id="echoid-s1534" xml:space="preserve">Plagę verò mũdi nautis notiſſimę ſunt, modò ſecũdo vti liceat vẽto. </s> <s xml:id="echoid-s1535" xml:space="preserve"><lb/>Vnde longitudines regionum probè corrigi poſſent. </s> <s xml:id="echoid-s1536" xml:space="preserve">Hæc à nemine <lb/>vnquam tradita inueni, quamobrem non piguit huic Coſinographi <lb/>co libro adiungere, vt omnib. </s> <s xml:id="echoid-s1537" xml:space="preserve">modis Reipub. </s> <s xml:id="echoid-s1538" xml:space="preserve">Chriſtianæ prodeſſem. </s> <s xml:id="echoid-s1539" xml:space="preserve"><lb/>Verùm & </s> <s xml:id="echoid-s1540" xml:space="preserve">hoc obiter annotandum duxi: </s> <s xml:id="echoid-s1541" xml:space="preserve">haud parum differre itine <lb/>ra pedeſtria, ab ijs quæ nauigijs fiunt. </s> <s xml:id="echoid-s1542" xml:space="preserve">Nam illa ſemper per circulos <lb/>magnos ſphæræ intelligũtur fieri, vt rectè VV ernerus demonſtrauit <lb/>commẽtarijs in Ptolomæũ æditis. </s> <s xml:id="echoid-s1543" xml:space="preserve">Marinæ verò profectiones, maxi-<lb/>ma ex parte curuæ ſunt, quoniam rarò per circulos magnos ſphæræ <lb/>fiunt, ſed aliquando per Parallelos circulos æquatoris, vt dum ſem-<lb/>per nauis in ortum vel occaſum tendit. </s> <s xml:id="echoid-s1544" xml:space="preserve">Aliquãdo verò per maximos <lb/>in ſphæra circulos, vt quando ab auſtro in ſeptentrionem, aut econ <lb/>tra nauigatur, tum ſub meridiano circulo nauigatur: </s> <s xml:id="echoid-s1545" xml:space="preserve">item ſub æqua <lb/>tore tantum in ortum occaſúmve nauigantib. </s> <s xml:id="echoid-s1546" xml:space="preserve">Alijs autem omnibus <lb/>directis licet ſecundum Magnetis ductum nauigationibus, curua fi-<lb/>unt itinera, quę circulis maximis non ſunt ſimiles, neque parallelis, <lb/>ſed neq; </s> <s xml:id="echoid-s1547" xml:space="preserve">circuli ſunt, verùm lineæ curuæ tantùm, omnes tandem in <lb/>polorum alterum concurrentes. </s> <s xml:id="echoid-s1548" xml:space="preserve">Quemadmodum in generali no-<lb/>ſtra orbis deſcriptione iamdudum euulgata clarè ſatis apparet. </s> <s xml:id="echoid-s1549" xml:space="preserve"><lb/>Quamobrem longè aliud intelligere oportet, cùm dicimus locum <lb/>quempiam ab altero in ortum vergere in terra, vel etiam in mari, & </s> <s xml:id="echoid-s1550" xml:space="preserve"><lb/>cùm in ortum tendendo eò nauigandum eſt. </s> <s xml:id="echoid-s1551" xml:space="preserve">Nam qui in ortum na <lb/>uigat, parallelum circulum ęquatori deſcribit, quod ob Magnetis <lb/>ductum euenit: </s> <s xml:id="echoid-s1552" xml:space="preserve">cuius lingula in nautico inſtrumento, ſemper in ta <lb/>li profectione rectos angulos cum quocunq; </s> <s xml:id="echoid-s1553" xml:space="preserve">effi cit meridiano. </s> <s xml:id="echoid-s1554" xml:space="preserve">Qui <lb/>vero in ortũ reſpicit Æquinoctialem, is ad punctũ aliquod in ęqua-<lb/>tore notatum neceſſario dirigitur, fit´q; </s> <s xml:id="echoid-s1555" xml:space="preserve">id per maximũ ſphęrę circu-<lb/>lum. </s> <s xml:id="echoid-s1556" xml:space="preserve">Ideo´q; </s> <s xml:id="echoid-s1557" xml:space="preserve">nauigatiões nõ reſpondent veris mũdi plagis. </s> <s xml:id="echoid-s1558" xml:space="preserve">Quas nos <lb/>@irculis magnis in ſphæræ ſuperficie diſtinguimus. </s> <s xml:id="echoid-s1559" xml:space="preserve">Verùm hoc ſo-<lb/>lum habent, vt rectè indicẽt in quã cœli partẽ cõtinuè vergat nauis, <lb/>ab eo loco in quo mométo quouis fertur ipſa nauis, non autẽ ab eo <pb o="Fo.24." file="053" n="53" rhead="GRAPH. PETRI AP."/> vnde prunũ delata eſt. </s> <s xml:id="echoid-s1560" xml:space="preserve">Harũ rerũ demonſtrationes cùm prolixæ ſint <lb/>in aliud tempus ſeruare magis oportunum videtur. </s> <s xml:id="echoid-s1561" xml:space="preserve">Multa enim hæc <lb/>ſpeculatio requirit de magnetis natura, & </s> <s xml:id="echoid-s1562" xml:space="preserve">eius deflexu à vero ſepten <lb/>trione, de ventorũ ortu, de circulorũ in ſphæræ ſuperficie concurſu <lb/>vario, quæ omnia Coſmographica elemẽta longè ſuperãt. </s> <s xml:id="echoid-s1563" xml:space="preserve">Quamob-<lb/>rem vt hæc noſtra exigua licet munuſeula, grata ſint benignis lecto-<lb/>ribus tantum cupio. </s> <s xml:id="echoid-s1564" xml:space="preserve">Maiora ſuo tempore ſi Deus vitam produxerit, <lb/>occupationes´q; </s> <s xml:id="echoid-s1565" xml:space="preserve">Medicæ permiſerint, emittemus.</s> <s xml:id="echoid-s1566" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div71" type="section" level="1" n="69"> <head xml:id="echoid-head74" style="it" xml:space="preserve">¶ Quadratum nauticum Gemmæ Friſij.</head> <p> <s xml:id="echoid-s1567" xml:space="preserve">Longitudo minor ſiue Occidentalior. </s> <s xml:id="echoid-s1568" xml:space="preserve"># Longitudo maior ſiue Orientalior.</s> <s xml:id="echoid-s1569" xml:space="preserve"/> </p> <figure> <image file="053-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/053-01"/> </figure> <pb file="054" n="54" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div72" type="section" level="1" n="70"> <head xml:id="echoid-head75" style="it" xml:space="preserve">De Periœcis, Antœcis, Antipodibus <lb/>ſiue Antichthonibus, Periſcijs, & Amphiſcijs. <lb/>Caput XVI.</head> <p> <s xml:id="echoid-s1570" xml:space="preserve">OMnis igitur terra quadrifariam diuiditur. </s> <s xml:id="echoid-s1571" xml:space="preserve">Au <lb/>ctores euim, puta Cleomedes & </s> <s xml:id="echoid-s1572" xml:space="preserve">alij, faciunt <lb/>ſub quolibet meridiano, & </s> <s xml:id="echoid-s1573" xml:space="preserve">ad quũlibet pun <lb/>ctũ cuiuſuis meridiani, quatuor habitatiões <lb/>habentes quandã inter ſe rationem ſeu pro-<lb/>portionem. </s> <s xml:id="echoid-s1574" xml:space="preserve">Quarũ primã nos incolimus. </s> <s xml:id="echoid-s1575" xml:space="preserve">Etiã <lb/>pro prima habitatione poteſt accipi quili-<lb/>bet locus ſeu punctus in toto terrarum orbe. <lb/></s> <s xml:id="echoid-s1576" xml:space="preserve">Alteram habitant illi qui Periœci, id eſt, circumcolæ appellantur. </s> <s xml:id="echoid-s1577" xml:space="preserve"><lb/>Tertiam verò habitationem Antœci, id eſt, anticolæ poſſident. </s> <s xml:id="echoid-s1578" xml:space="preserve"><lb/>Quartam & </s> <s xml:id="echoid-s1579" xml:space="preserve">vltimam regionem ſeu habitationẽ homines quos An-<lb/>tichthones ſiue Antipodes vocitamus, tenent.</s> <s xml:id="echoid-s1580" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1581" xml:space="preserve">ANtipodes dicuntur, qui nobis è diametro veſtigia obuer <lb/>tunt, & </s> <s xml:id="echoid-s1582" xml:space="preserve">ſimilem cœli verticem æquè vt nos vident. </s> <s xml:id="echoid-s1583" xml:space="preserve">Et cũ <lb/>illis nihil commune habemus, ſed cõtraria omnino: </s> <s xml:id="echoid-s1584" xml:space="preserve">quia <lb/>cùm nobis Sol æſtatẽ efficit, illos dura hyems opprimit. <lb/></s> <s xml:id="echoid-s1585" xml:space="preserve">Et cùm apud nos dies habetur, Antipodib. </s> <s xml:id="echoid-s1586" xml:space="preserve">certe nox efficitur: </s> <s xml:id="echoid-s1587" xml:space="preserve">con-<lb/>trà, quando illis dies eſt, nobis redditur nox. </s> <s xml:id="echoid-s1588" xml:space="preserve">Quando nos diem agi-<lb/>mus longiſſimum, apud illos nox longiſſima, breuiſſima´q; </s> <s xml:id="echoid-s1589" xml:space="preserve">dies ſta-<lb/>tuitur. </s> <s xml:id="echoid-s1590" xml:space="preserve">Quos tamẽ Lactantius Fir. </s> <s xml:id="echoid-s1591" xml:space="preserve">vir aliàs<unsure/> imprimis eruditus, lib. </s> <s xml:id="echoid-s1592" xml:space="preserve">3. </s> <s xml:id="echoid-s1593" xml:space="preserve"><lb/>cap. </s> <s xml:id="echoid-s1594" xml:space="preserve">24. </s> <s xml:id="echoid-s1595" xml:space="preserve">pueriliter errans, ſuis ſtramineis doxijs´q; </s> <s xml:id="echoid-s1596" xml:space="preserve">argumẽtis eſſe ne-<lb/>gat, deridet´q; </s> <s xml:id="echoid-s1597" xml:space="preserve">Mathematicos, qui terrã (quantũ ad maximas ſui par-<lb/>tes) ſphæricam eſſe dicunt, quod etiam certiſſimis oſtenſionibus & </s> <s xml:id="echoid-s1598" xml:space="preserve"><lb/>ſubtilitate geometrica demonſtrãt, id quod experimentis quoq; </s> <s xml:id="echoid-s1599" xml:space="preserve">ſa-<lb/>tis cognitum eſt. </s> <s xml:id="echoid-s1600" xml:space="preserve">Quem ſequutus eſt Auguſt. </s> <s xml:id="echoid-s1601" xml:space="preserve">lib. </s> <s xml:id="echoid-s1602" xml:space="preserve">16. </s> <s xml:id="echoid-s1603" xml:space="preserve">cap. </s> <s xml:id="echoid-s1604" xml:space="preserve">9 de Ci. </s> <s xml:id="echoid-s1605" xml:space="preserve">dei. </s> <s xml:id="echoid-s1606" xml:space="preserve"><lb/>ſic ſcribens: </s> <s xml:id="echoid-s1607" xml:space="preserve">Qui verò & </s> <s xml:id="echoid-s1608" xml:space="preserve">Antipodas eſſe fabulantur, id eſt, homines <lb/>à contraria parte vbi Sol oritur quando occidit nobis, aduerſa pe-<lb/>dibus calcare veſtigia, nulla ratione credendũ eſt. </s> <s xml:id="echoid-s1609" xml:space="preserve">Non vtiq; </s> <s xml:id="echoid-s1610" xml:space="preserve">hoc du <lb/>bites ſuauiſſ. </s> <s xml:id="echoid-s1611" xml:space="preserve">Lector, quòd Apoſtoli Chriſti inter ſe fuiſſent Anti-<lb/>podes, qui conuerſis inter ſe pedibus ſtare ſolent, ſi Iacobus maior <lb/>frater Ioannis Euangeliſtæ filius Zebedæi auram ſpiraſſet in Gali-<lb/>tia, vbi nunc corpus ipſius (vt dicunt) requieſcit, ſicut Thomas Apo <lb/>ſtolus in India ſuperiori. </s> <s xml:id="echoid-s1612" xml:space="preserve">Certè Indi (quia diametrantur ferè) Hiſ-<lb/>panorum ſunt Antipodes & </s> <s xml:id="echoid-s1613" xml:space="preserve">veſtigia Hiſpanis, & </s> <s xml:id="echoid-s1614" xml:space="preserve">ecõtrà Hiſpani In-<lb/>dis obuertunt, & </s> <s xml:id="echoid-s1615" xml:space="preserve">terrã æquè calcare ſolent: </s> <s xml:id="echoid-s1616" xml:space="preserve">quanuis non adeò præ-<lb/>ciſe ſecundum dimetientem, tamen hac in re nihil diſtare videntur, <lb/>Antipodes´q; </s> <s xml:id="echoid-s1617" xml:space="preserve">dici debent. </s> <s xml:id="echoid-s1618" xml:space="preserve">Hoc idem veriſſimus ille Strabo auctor <lb/>non publicandus affirmat, dicens: </s> <s xml:id="echoid-s1619" xml:space="preserve">Antipodes inter ſe quodãmodo <lb/>eſſe neſcij nõ ſumus. </s> <s xml:id="echoid-s1620" xml:space="preserve">De quibus lege Pliniũ natural. </s> <s xml:id="echoid-s1621" xml:space="preserve">hiſt. </s> <s xml:id="echoid-s1622" xml:space="preserve">lib. </s> <s xml:id="echoid-s1623" xml:space="preserve">2. </s> <s xml:id="echoid-s1624" xml:space="preserve">ca. </s> <s xml:id="echoid-s1625" xml:space="preserve">67. </s> <s xml:id="echoid-s1626" xml:space="preserve"><lb/>Volateranum, & </s> <s xml:id="echoid-s1627" xml:space="preserve">omnes ferè Geographos.</s> <s xml:id="echoid-s1628" xml:space="preserve"/> </p> <pb o="Fo.25." file="055" n="55" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div73" type="section" level="1" n="71"> <head xml:id="echoid-head76" xml:space="preserve">¶ De Periœcis.</head> <p> <s xml:id="echoid-s1629" xml:space="preserve">PEriœci ſiue circumcolæ dicuntur, qui eodem ſub meri <lb/>diano, eodem´que parallelo circulo manent, cum´q; </s> <s xml:id="echoid-s1630" xml:space="preserve">illis <lb/>communia ferè omnia habemus, quum eandem ſimul <lb/>Zonam incolamus. </s> <s xml:id="echoid-s1631" xml:space="preserve">Et paria nobiſcum agunt anni tem <lb/>pora, ſcilicet hyemem, æſtatem, autumnũ, & </s> <s xml:id="echoid-s1632" xml:space="preserve">ver. </s> <s xml:id="echoid-s1633" xml:space="preserve">Pariter dierum no-<lb/>ctium´q; </s> <s xml:id="echoid-s1634" xml:space="preserve">diuerſitates, hoc eſt, incremẽta & </s> <s xml:id="echoid-s1635" xml:space="preserve">decrementa, & </s> <s xml:id="echoid-s1636" xml:space="preserve">huiuſmodi <lb/>alia. </s> <s xml:id="echoid-s1637" xml:space="preserve">Hoc tamẽ diſcriminis eſt, quòd cùm Sol nobis diem efficit, apud <lb/>illos noctem cſſe ratio ipſa demonſtrat. </s> <s xml:id="echoid-s1638" xml:space="preserve">Tamen non eodem tempo-<lb/>ris momento occidit nobis Sol & </s> <s xml:id="echoid-s1639" xml:space="preserve">illis oritur.</s> <s xml:id="echoid-s1640" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div74" type="section" level="1" n="72"> <head xml:id="echoid-head77" xml:space="preserve">¶ De Antœcis.</head> <p> <s xml:id="echoid-s1641" xml:space="preserve">ANtœci ſiue Anticolæ dicuntur, qui in eodem circulo meri-<lb/>diano noſtro lateri aſtant, latitudinem auſtrinam latitudini <lb/>noſtræ æqualem, conſimiliter æqualem longitudinem habentes. <lb/></s> <s xml:id="echoid-s1642" xml:space="preserve">Qui etiam paria nobiſcum tempora agunt, ſed non pariter.</s> <s xml:id="echoid-s1643" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div75" type="section" level="1" n="73"> <head xml:id="echoid-head78" xml:space="preserve">¶ De Periſcijs.</head> <p> <s xml:id="echoid-s1644" xml:space="preserve">PEriſcij dicuntur, qui ſub polis mundi conſtituti ſunt. </s> <s xml:id="echoid-s1645" xml:space="preserve">Ita dicti <lb/>ratione vmbræ, quia illis molarum more per medium anni <lb/>curriculum vmbra circumuoluitur. </s> <s xml:id="echoid-s1646" xml:space="preserve"># ¶ De Amphiſcijs.</s> <s xml:id="echoid-s1647" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1648" xml:space="preserve">AMphiſcij verò dicuntur manentes ſub æquinoctiali circulo, <lb/>quos Sol quatuor vmbris verberat.</s> <s xml:id="echoid-s1649" xml:space="preserve"/> </p> <figure> <image file="055-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/055-01"/> <caption xml:id="echoid-caption21" style="it" xml:space="preserve">Ecce habitationes antedictas.</caption> </figure> <pb file="056" n="56" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div76" type="section" level="1" n="74"> <head xml:id="echoid-head79" style="it" xml:space="preserve">QVO DIFFERVNT, INSVLA, <lb/>Peninſula, Iſthmus, & Continens. <lb/>CAP. XVII.</head> <p> <s xml:id="echoid-s1650" xml:space="preserve">AB aquis igitur cùm omnis terra quadrifa-<lb/>riam ſecetur, Aut fit Inſula, aut Peninſula, aut <lb/>Iſthmns, aut Continens. </s> <s xml:id="echoid-s1651" xml:space="preserve">Inſula itaque eſt ea <lb/> <anchor type="handwritten" xlink:label="hd-056-01a" xlink:href="hd-056-01"/> pars terræ, quæ à maiorib. </s> <s xml:id="echoid-s1652" xml:space="preserve">terræ partibus ſe-<lb/>iuncta vndiq; </s> <s xml:id="echoid-s1653" xml:space="preserve">aquis alluitur. </s> <s xml:id="echoid-s1654" xml:space="preserve">Vt Rhodus, Sici <lb/>lia, Corſica, Taprobana, Iaua, America, Anglia <lb/>Iſlanda. </s> <s xml:id="echoid-s1655" xml:space="preserve">Peninſula ſeu Cherſoneſus quę planè <lb/> <anchor type="handwritten" xlink:label="hd-056-01a" xlink:href="hd-056-01"/> Inſula non eſt, neque continens, ſed vndique <lb/>ferè aquis clauſa, aliqua tamẽ anguſtia cõtinenti annectitur. </s> <s xml:id="echoid-s1656" xml:space="preserve">Et ſunt <lb/>quatuot inſigniores. </s> <s xml:id="echoid-s1657" xml:space="preserve">Vt Peloponneſus arx totius Græciæ quondam <lb/>dicta, nun<unsure/>c autem Moræa dicitur, in mari Mediterraneo ſita. </s> <s xml:id="echoid-s1658" xml:space="preserve">Aurea <lb/>Cherſoneſus in mari Indico meridionali. </s> <s xml:id="echoid-s1659" xml:space="preserve">Cimbrica in mare Germa <lb/>nicum ſeſe extendit. </s> <s xml:id="echoid-s1660" xml:space="preserve">Taurica Cherſoneſus in pontũ Euxinum circa <lb/>Boſphorum Thraciũ procurrit, vbi & </s> <s xml:id="echoid-s1661" xml:space="preserve">Mœotis exonerat pontũ, circa <lb/>quam eriam Danubius cantatiſſimus Rhetiam, Boiariam (olim à Ro <lb/>manis & </s> <s xml:id="echoid-s1662" xml:space="preserve">Græcis Vindelicia dicta) vtramq; </s> <s xml:id="echoid-s1663" xml:space="preserve">Pannoniã, Datiã & </s> <s xml:id="echoid-s1664" xml:space="preserve">Miſiã <lb/>præterfluens, pontũ ſubit & </s> <s xml:id="echoid-s1665" xml:space="preserve">emoritur. </s> <s xml:id="echoid-s1666" xml:space="preserve">Iſthmus dicitur terra inter duo <lb/> <anchor type="handwritten" xlink:label="hd-056-01a" xlink:href="hd-056-01"/> maria concluſa, propriè tamen iter ad Cherſoneſum porrigit. </s> <s xml:id="echoid-s1667" xml:space="preserve">Vt <lb/>Corinthiacus inter Achaiam & </s> <s xml:id="echoid-s1668" xml:space="preserve">Peloponneſum, quem nauigabili al-<lb/>ueo Demetrius rex, Dictator Cæſar, C. </s> <s xml:id="echoid-s1669" xml:space="preserve">Princeps Domitius, Nero, <lb/>infauſto (vt omnium patuit exitu) incepto, perfodere tentauerunt. <lb/></s> <s xml:id="echoid-s1670" xml:space="preserve">De quibus lege Pli. </s> <s xml:id="echoid-s1671" xml:space="preserve">nat. </s> <s xml:id="echoid-s1672" xml:space="preserve">hiſt. </s> <s xml:id="echoid-s1673" xml:space="preserve">lib. </s> <s xml:id="echoid-s1674" xml:space="preserve">4. </s> <s xml:id="echoid-s1675" xml:space="preserve">cap. </s> <s xml:id="echoid-s1676" xml:space="preserve">4. </s> <s xml:id="echoid-s1677" xml:space="preserve">Dorſum Arabiæ inter Si-<lb/>num Arabicum & </s> <s xml:id="echoid-s1678" xml:space="preserve">mare Ægyptíacum. </s> <s xml:id="echoid-s1679" xml:space="preserve">Dania quę ducit iter ad Cym <lb/>bros, & </s> <s xml:id="echoid-s1680" xml:space="preserve">tota Italia. </s> <s xml:id="echoid-s1681" xml:space="preserve">Continens dicitur omnis terra ſolida ſiue fixa, <lb/> <anchor type="handwritten" xlink:label="hd-056-01a" xlink:href="hd-056-01"/> quæ nec Infula, nec Peninſula, nec Iſthmus eſt. </s> <s xml:id="echoid-s1682" xml:space="preserve">Sed tota ſibi conſtat <lb/>& </s> <s xml:id="echoid-s1683" xml:space="preserve">cohæret, aliquantulum tamen (quod nullius eſt momenti) ſinibus <lb/>maris fracta conſpicitur. </s> <s xml:id="echoid-s1684" xml:space="preserve">Vt Miſnia dulcis patria. </s> <s xml:id="echoid-s1685" xml:space="preserve">Saxonia, Bohemia, <lb/>Boiaria, Datia, Turingia, Pannonia, Sueuia, &</s> <s xml:id="echoid-s1686" xml:space="preserve">c.</s> <s xml:id="echoid-s1687" xml:space="preserve"/> </p> <div xml:id="echoid-div76" type="float" level="2" n="1"> <handwritten xlink:label="hd-056-01" xlink:href="hd-056-01a"/> <handwritten xlink:label="hd-056-01" xlink:href="hd-056-01a"/> <handwritten xlink:label="hd-056-01" xlink:href="hd-056-01a"/> <handwritten xlink:label="hd-056-01" xlink:href="hd-056-01a"/> </div> </div> <div xml:id="echoid-div78" type="section" level="1" n="75"> <head xml:id="echoid-head80" style="it" xml:space="preserve">Ecce ſummariam diuiſionem.</head> <note position="right" xml:space="preserve"> <lb/># ## Aut Inſula. vt America, Sicilia, Iaua, Rhodus. <lb/># # Moræa. <lb/># Aut Peninſula # Thaurica Cherſoneſus. <lb/># # Aurea Cherſoneſus. <lb/>Omnis terra eſt # # Cimbrica Cherſoneſus. <lb/># # Corinthiacus. <lb/># Aut Iſthmus # Dorſum Arabiæ. <lb/># # Dania. <lb/># # ## Aut Cõtinens. Miſnia, Pannonia, Boiaria, Saxonia<unsure/> <lb/></note> <p> <s xml:id="echoid-s1688" xml:space="preserve">Equidem iſtiuſmodi diuiſionis formulam propter Tyrunculos qui <lb/>in principijs Geographiæ minus verſati ſunt hic coram ſubiunxi.</s> <s xml:id="echoid-s1689" xml:space="preserve"/> </p> <pb o="Fo.26." file="057" n="57" rhead="GRAPH. PETRI AP."/> <figure> <image file="057-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/057-01"/> </figure> </div> <div xml:id="echoid-div79" type="section" level="1" n="76"> <head xml:id="echoid-head81" style="it" xml:space="preserve">DE VSV TABVLARVM PTOL. ET <lb/>qualiter vniuſcuiuſq; regionis, aut oppidi ſitus, in illis ſit <lb/>inuenicndus. CAP. XVIII.</head> <p> <s xml:id="echoid-s1690" xml:space="preserve">INueſtigaturus itaq; </s> <s xml:id="echoid-s1691" xml:space="preserve">alicuius oppidi ſitũ in ta <lb/>bulis Ptolemæi, elicias imprimis gradus lon-<lb/>gitudinis & </s> <s xml:id="echoid-s1692" xml:space="preserve">latitudinis ex abaco regionũ, pro <lb/>uinciarũ, & </s> <s xml:id="echoid-s1693" xml:space="preserve">oppidorũ, qui frequẽti diſpoſitiõe <lb/>hoc modo ordinantur, vt loco primo eorũ no <lb/>minibus ſcripta cernantur: </s> <s xml:id="echoid-s1694" xml:space="preserve">Deinde in directo <lb/>cuiuſliber loci ſiue oppidi ſcribitur primo or-<lb/>dine eius longitudo in gradib. </s> <s xml:id="echoid-s1695" xml:space="preserve">& </s> <s xml:id="echoid-s1696" xml:space="preserve">minutis: </s> <s xml:id="echoid-s1697" xml:space="preserve">Secundo aũt ordine eius <lb/>latitudo ſcribitur conſimiliter in gradib. </s> <s xml:id="echoid-s1698" xml:space="preserve">& </s> <s xml:id="echoid-s1699" xml:space="preserve">minutis: </s> <s xml:id="echoid-s1700" xml:space="preserve">Quibus habitis <lb/>quęre in tabula ſibi competẽti, longitutinis quidem gradus in capite <lb/>tabulę ſeu parte Septentrionali, cõſimiliter in pede ſeu meridionali <lb/>parte. </s> <s xml:id="echoid-s1701" xml:space="preserve">Gradus verò latitud. </s> <s xml:id="echoid-s1702" xml:space="preserve">& </s> <s xml:id="echoid-s1703" xml:space="preserve">eius partes quære in reliquis duobus la <lb/>teribus, parte ſcil. </s> <s xml:id="echoid-s1704" xml:space="preserve">oriẽtali & </s> <s xml:id="echoid-s1705" xml:space="preserve">occidentali, & </s> <s xml:id="echoid-s1706" xml:space="preserve">vt certior reddaris, termi <lb/>nis ſigna delebilia adijcito: </s> <s xml:id="echoid-s1707" xml:space="preserve">Deinde expãde filum ſuper puncta lon <lb/>gitu. </s> <s xml:id="echoid-s1708" xml:space="preserve">in ſuperiori & </s> <s xml:id="echoid-s1709" xml:space="preserve">parte inferiori, filo ſic inuariato fac vt alius aliud <lb/>p puncta latitud. </s> <s xml:id="echoid-s1710" xml:space="preserve">filum extẽdat, locus in quo fila ſeſe interſecuerint, <lb/>crit locus aut ſitus oppidi illius aut habitationis quã inueſtigabas.</s> <s xml:id="echoid-s1711" xml:space="preserve"/> </p> <pb file="058" n="58" rhead="PRIMA PARS COSMO."/> </div> <div xml:id="echoid-div80" type="section" level="1" n="77"> <head xml:id="echoid-head82" xml:space="preserve">Ecce formulam, vſum, atquc ſtructuram <lb/>Tabularum Ptolomæi, cum quibuſdam <lb/>locis, in quibus ſtudioſus Geogra-<lb/>phiæ ſe ſatis exercere poteſt.</head> <figure> <image file="058-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/058-01"/> <caption xml:id="echoid-caption22" xml:space="preserve">S E P T E N T R I O. <lb/>pars ſuperior.</caption> </figure> <pb o="Fo.27" file="059" n="59" rhead="GRAPH. PETRIAP."/> <p> <s xml:id="echoid-s1712" xml:space="preserve">PRaga habet in longitudine. </s> <s xml:id="echoid-s1713" xml:space="preserve">32. </s> <s xml:id="echoid-s1714" xml:space="preserve">0. </s> <s xml:id="echoid-s1715" xml:space="preserve">in latitudine. </s> <s xml:id="echoid-s1716" xml:space="preserve">50. </s> <s xml:id="echoid-s1717" xml:space="preserve">4. <lb/></s> <s xml:id="echoid-s1718" xml:space="preserve">Lyptzigum habet in longitud. </s> <s xml:id="echoid-s1719" xml:space="preserve">29. </s> <s xml:id="echoid-s1720" xml:space="preserve">58. </s> <s xml:id="echoid-s1721" xml:space="preserve">in latitud. </s> <s xml:id="echoid-s1722" xml:space="preserve">51. </s> <s xml:id="echoid-s1723" xml:space="preserve">24. </s> <s xml:id="echoid-s1724" xml:space="preserve"><lb/>Leyſznigum habet in longitud. </s> <s xml:id="echoid-s1725" xml:space="preserve">30. </s> <s xml:id="echoid-s1726" xml:space="preserve">20. </s> <s xml:id="echoid-s1727" xml:space="preserve">in latitud. </s> <s xml:id="echoid-s1728" xml:space="preserve">51. </s> <s xml:id="echoid-s1729" xml:space="preserve">10. </s> <s xml:id="echoid-s1730" xml:space="preserve"><lb/>Venetiæ habet in longitudine. </s> <s xml:id="echoid-s1731" xml:space="preserve">32. </s> <s xml:id="echoid-s1732" xml:space="preserve">30. </s> <s xml:id="echoid-s1733" xml:space="preserve">in latitud. </s> <s xml:id="echoid-s1734" xml:space="preserve">44. </s> <s xml:id="echoid-s1735" xml:space="preserve">50. </s> <s xml:id="echoid-s1736" xml:space="preserve"><lb/>Vienna Pannoniæ habet in lon. </s> <s xml:id="echoid-s1737" xml:space="preserve">35. </s> <s xml:id="echoid-s1738" xml:space="preserve">8. </s> <s xml:id="echoid-s1739" xml:space="preserve">in latitud. </s> <s xml:id="echoid-s1740" xml:space="preserve">48. </s> <s xml:id="echoid-s1741" xml:space="preserve">25. </s> <s xml:id="echoid-s1742" xml:space="preserve"><lb/>Monachum habetin lon. </s> <s xml:id="echoid-s1743" xml:space="preserve">29. </s> <s xml:id="echoid-s1744" xml:space="preserve">29. </s> <s xml:id="echoid-s1745" xml:space="preserve">in latitudine. </s> <s xml:id="echoid-s1746" xml:space="preserve">48. </s> <s xml:id="echoid-s1747" xml:space="preserve">0. </s> <s xml:id="echoid-s1748" xml:space="preserve"><lb/>Ingolſtadium habet in longitud. </s> <s xml:id="echoid-s1749" xml:space="preserve">29. </s> <s xml:id="echoid-s1750" xml:space="preserve">6. </s> <s xml:id="echoid-s1751" xml:space="preserve">in latitudine. </s> <s xml:id="echoid-s1752" xml:space="preserve">48. </s> <s xml:id="echoid-s1753" xml:space="preserve">42. </s> <s xml:id="echoid-s1754" xml:space="preserve"><lb/>Erfordia habet in longitud. </s> <s xml:id="echoid-s1755" xml:space="preserve">28. </s> <s xml:id="echoid-s1756" xml:space="preserve">30. </s> <s xml:id="echoid-s1757" xml:space="preserve">in latitudine. </s> <s xml:id="echoid-s1758" xml:space="preserve">51. </s> <s xml:id="echoid-s1759" xml:space="preserve">10.</s> <s xml:id="echoid-s1760" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div81" type="section" level="1" n="78"> <head xml:id="echoid-head83" style="it" xml:space="preserve">De ſpeculo coſmographico <lb/>Caput. XIX.</head> <p> <s xml:id="echoid-s1761" xml:space="preserve">SPeculum eſt illud quo aſpicimus, ac ſpeciem, id <lb/>eſt, imaginem noſtram contemplamur. </s> <s xml:id="echoid-s1762" xml:space="preserve">In hoc <lb/>autem ſpeculo, totius orbis, id eſt, terrę ſpeciem, <lb/>imaginem, ſeu picturam contemplamur.</s> <s xml:id="echoid-s1763" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1764" xml:space="preserve">Imprimis igitur generalem huius ſpeculi vſum <lb/>ſeu declarationem, quantũ ad eius partes, oſten-<lb/>damus. </s> <s xml:id="echoid-s1765" xml:space="preserve">Eſt itaq; </s> <s xml:id="echoid-s1766" xml:space="preserve">in eo inſtrumento ſeu ſpeculo, <lb/>limbus in extremo immobilis, in. </s> <s xml:id="echoid-s1767" xml:space="preserve">24. </s> <s xml:id="echoid-s1768" xml:space="preserve">ſegmenta diuiſus, qui horarum <lb/>limbus appellatur, quodlibet autem ſegmentum ſeu ſpacium vnius <lb/>horę continet. </s> <s xml:id="echoid-s1769" xml:space="preserve">4. </s> <s xml:id="echoid-s1770" xml:space="preserve">quartalia ſeu ſpaciola: </s> <s xml:id="echoid-s1771" xml:space="preserve">vnumquodq; </s> <s xml:id="echoid-s1772" xml:space="preserve">ſpaciolum. </s> <s xml:id="echoid-s1773" xml:space="preserve">15. <lb/></s> <s xml:id="echoid-s1774" xml:space="preserve">minuta temporis repræſentat. </s> <s xml:id="echoid-s1775" xml:space="preserve">Adſunt etiam tres rotulæ mobiles, <lb/>quarum prima ſiue inferior, ſpeculum Orbis (quam Mappam vo-<lb/>cant) repræſentat. </s> <s xml:id="echoid-s1776" xml:space="preserve">Altera fert Zodiacum, & </s> <s xml:id="echoid-s1777" xml:space="preserve">ob ſimilitudinem, rethe, <lb/>ſiue aranea nominatur, apud Arabes autem alhancabut. </s> <s xml:id="echoid-s1778" xml:space="preserve">Tertia, ve-<lb/>rò & </s> <s xml:id="echoid-s1779" xml:space="preserve">vltima volubilis rotula parua habet. </s> <s xml:id="echoid-s1780" xml:space="preserve">24. </s> <s xml:id="echoid-s1781" xml:space="preserve">diuiſiones horarum, <lb/>cum Indice meridiei. </s> <s xml:id="echoid-s1782" xml:space="preserve">Eſt inſuper Index, qui voluellum vel alhidada <lb/>dicitur, ſupra centrum infixus, qui omnes rotulas ſupradictas conti-<lb/>net, & </s> <s xml:id="echoid-s1783" xml:space="preserve">conſtringit, ne facilè à centro decidant.</s> <s xml:id="echoid-s1784" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div82" type="section" level="1" n="79"> <head xml:id="echoid-head84" style="it" xml:space="preserve">DE VSV SPECVLI COSMOGR APHICI.</head> <p> <s xml:id="echoid-s1785" xml:space="preserve">¶ Hoc Caput continet aliqu<unsure/>as Propoſitiones, quæ particularem <lb/>declarationem, necnon vſum multiplicem Speculi orbis lucidiſſi-<lb/>mè explanant.</s> <s xml:id="echoid-s1786" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div83" type="section" level="1" n="80"> <head xml:id="echoid-head85" style="it" xml:space="preserve">PROPOSITIO I.</head> <p> <s xml:id="echoid-s1787" xml:space="preserve">QVomodo vniuſcuiuſque regionis, ciuitatis, aut oppidi ſitus <lb/>in Speculo Coſinographico ſit inueſtigandus breuiter enun-<lb/>ciare. </s> <s xml:id="echoid-s1788" xml:space="preserve">Siigitur regionẽ, aut ciuitatem aliquã in Speculo iſto locare vo <lb/>lueris, in primis fac notã in limbo Speculi circa longitudinis gradum <lb/>iſtius oppidi, & </s> <s xml:id="echoid-s1789" xml:space="preserve">ſuper eandem ſignaturã pone voluellũ cum linea fi-<lb/>duciæ. </s> <s xml:id="echoid-s1790" xml:space="preserve">Deinde conſidera eiuſdẽ regionis ſiue oppidi latitudinẽ in or <lb/>dine graduũ latitudinis, quã numerabis in voluello ab æquinoctiali <lb/>in latitudine Septentrionali vel Meridionali, prout abacus expoſtu- <pb file="060" n="60" rhead="PRIMA PARS COSMO."/> lat, & </s> <s xml:id="echoid-s1791" xml:space="preserve">in fine huius numerationis fiet punctus directè ſub linea fidu <lb/>ciæ, & </s> <s xml:id="echoid-s1792" xml:space="preserve">erit locus illius regionis aut oppidi, quod captare oportuit.</s> <s xml:id="echoid-s1793" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div84" type="section" level="1" n="81"> <head xml:id="echoid-head86" style="it" xml:space="preserve">PROPOSITIO. II.</head> <p> <s xml:id="echoid-s1794" xml:space="preserve">SPeculum orbis ſecundum ſitum tuę habitationis artificioſe lo <lb/>care. </s> <s xml:id="echoid-s1795" xml:space="preserve">Habito loco tuæ habitationis, vel alterius oppidi ex præ-<lb/>miſſa in ſpeculo iſto, pone voluellũ ſpeculi cũ ſua linea fiduciæ <lb/>ſuper horam. </s> <s xml:id="echoid-s1796" xml:space="preserve">12. </s> <s xml:id="echoid-s1797" xml:space="preserve">meridiei, & </s> <s xml:id="echoid-s1798" xml:space="preserve">volue rotulã donec locus ſiue punctus <lb/>tuæ regionis ſit ſub linea fiduciæ ipſius alhidadæ. </s> <s xml:id="echoid-s1799" xml:space="preserve">In eo igitur ſitu <lb/>fige rotulam cera, vt illic maneat, & </s> <s xml:id="echoid-s1800" xml:space="preserve">ſic rectificaſti Orbis ſpeculum <lb/>pro tua habitatione, quod fuit optatum.</s> <s xml:id="echoid-s1801" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div85" type="section" level="1" n="82"> <head xml:id="echoid-head87" style="it" xml:space="preserve">PROPOSITIO. III.</head> <p> <s xml:id="echoid-s1802" xml:space="preserve">QVibus regionibus, inſulis, aut ciuitatibus moueantur Sol & </s> <s xml:id="echoid-s1803" xml:space="preserve"><lb/>reliquæ ſtellæ erroneæ oblato die, & </s> <s xml:id="echoid-s1804" xml:space="preserve">omni hora verticales, <lb/>inquirere. </s> <s xml:id="echoid-s1805" xml:space="preserve">Habito gradu ſolis ex ſecunda noni, pone voluellũ ſuper <lb/>horã exterioris limbi in qua vis illud ſcire, ſiue ſit ante vel poſt me <lb/>ridiem, vel circa mediã noctem. </s> <s xml:id="echoid-s1806" xml:space="preserve">Poſtea circumacto rethi, ſiſte gradũ <lb/>Solis in quo Sol die dato mouetur, pręciſe ſub fiduciæ linea voluel <lb/>li. </s> <s xml:id="echoid-s1807" xml:space="preserve">Illis igitur perpẽdiculariter mouetur ſol dato momẽto ſupra ca-<lb/>put, qui à gradu ſolis teguntur, ſiue fuerit ſupra aquã ſiue ſuper ter <lb/>ram. </s> <s xml:id="echoid-s1808" xml:space="preserve">Rethi inuariato quære aliorũ planetarũ gradus in zodiaco, ap <lb/>parebunt loca quibus in vertice moueantur pro data hora.</s> <s xml:id="echoid-s1809" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div86" type="section" level="1" n="83"> <head xml:id="echoid-head88" style="it" xml:space="preserve">PROPOSITIO. IIII.</head> <p> <s xml:id="echoid-s1810" xml:space="preserve">QVibus Sol ſemel, bis, & </s> <s xml:id="echoid-s1811" xml:space="preserve">quibus nunquã ſupra caput mouea <lb/>tur, facile indagare. </s> <s xml:id="echoid-s1812" xml:space="preserve">Sunt igitur tres circuli in Speculo orbis <lb/>alijs latiores, Æquinoctialis ſcilicet in medio diuiſus, & </s> <s xml:id="echoid-s1813" xml:space="preserve">duo Tro-<lb/>pici. </s> <s xml:id="echoid-s1814" xml:space="preserve">Habitantib. </s> <s xml:id="echoid-s1815" xml:space="preserve">ergo ſub Tropicis ſemel in anno ſol mouetur per-<lb/>pendiculariter ſupra caput. </s> <s xml:id="echoid-s1816" xml:space="preserve">Inter Tropicos aũt degẽtibus bis in an <lb/>no ſol mouetur verticalis. </s> <s xml:id="echoid-s1817" xml:space="preserve">Qui verò extra Tropicos habitãt, nunq̃ <lb/>videbunt Phebum in vertice capitis. </s> <s xml:id="echoid-s1818" xml:space="preserve">Et hæc quidem regula veriſ-<lb/>ſima eſt, ſi alicuius oppidi latitudo ſuperat. </s> <s xml:id="echoid-s1819" xml:space="preserve">24. </s> <s xml:id="echoid-s1820" xml:space="preserve">grad. </s> <s xml:id="echoid-s1821" xml:space="preserve">certũ eſt quòd <lb/>ſol nunquam per Zenith illorum moueatur. </s> <s xml:id="echoid-s1822" xml:space="preserve">Fabulãtur ergo ij, qui <lb/>dicunt quòd Sol Hieroſoly mitanos in meridie nulla vmbra verbe-<lb/>rat, quia eius latitudo excedit. </s> <s xml:id="echoid-s1823" xml:space="preserve">31. </s> <s xml:id="echoid-s1824" xml:space="preserve">gradus.</s> <s xml:id="echoid-s1825" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div87" type="section" level="1" n="84"> <head xml:id="echoid-head89" style="it" xml:space="preserve">PROPOSITIO. V.</head> <p> <s xml:id="echoid-s1826" xml:space="preserve">QVota ſit hora in quacũq; </s> <s xml:id="echoid-s1827" xml:space="preserve">alia totius Orbis regione, aut ciui <lb/>tate, pro quolibet diei momẽto perſcrutari. </s> <s xml:id="echoid-s1828" xml:space="preserve">Pone voluellũ <lb/>in exteriori limbo ſuper horã pro qua horã diei regionis aut loci al <lb/>teriꝰ obſeruare volueris Voluello itaq; </s> <s xml:id="echoid-s1829" xml:space="preserve">inuariato manẽte, verte aut <lb/>eircumuolue paruã rotulã horarũ, donec cacumẽ in dicis horæ me-<lb/>ridianæ adamuſſim iſtius oppidi ſitum reſpiciat, & </s> <s xml:id="echoid-s1830" xml:space="preserve">alhidada cũ ſua <lb/>linca fiducię oſtẽdit in parua rotula horã iſtius regionis aut oppidi <lb/>à meridie vel à media nocte computatam, quod fuit optatum.</s> <s xml:id="echoid-s1831" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1832" xml:space="preserve">Finis primæ Partis Libri Coſmographici.</s> <s xml:id="echoid-s1833" xml:space="preserve"/> </p> <pb o="Fo.28." file="061" n="61" rhead="GRAPH. PETRIAP."/> <handwritten/> <figure> <image file="061-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/061-01"/> <caption xml:id="echoid-caption23" style="it" xml:space="preserve"><emph style="bf">Media nox.</emph></caption> </figure> <pb file="062" n="62"/> </div> <div xml:id="echoid-div88" type="section" level="1" n="85"> <head xml:id="echoid-head90" style="it" xml:space="preserve">SECVNDA PARS <lb/>principalis huius libri.</head> <head xml:id="echoid-head91" style="it" xml:space="preserve">DE SVMMA, NECNON PART I-<lb/>culari Europæ, Africæ, Aſiæ, & <lb/>Americæ deſcriptioue.</head> <head xml:id="echoid-head92" style="it" xml:space="preserve">DE EVROPA. CAP. I.</head> <p> <s xml:id="echoid-s1834" xml:space="preserve">EVropa appellata eſt ab Agenoris Phœnicum Re-<lb/> <anchor type="handwritten" xlink:label="hd-062-1a" xlink:href="hd-062-1"/> gis filia, quæ à Ioue ex Africa rapta in Cretam ab-<lb/>ducta fuit, ab occidentis parte Atlantico oceano <lb/>terminata. </s> <s xml:id="echoid-s1835" xml:space="preserve">A Septentrione Britannico & </s> <s xml:id="echoid-s1836" xml:space="preserve">Germa-<lb/>nico magno, ab aduerſa parte Mediterraneo pela-<lb/>go includitur. </s> <s xml:id="echoid-s1837" xml:space="preserve">Ab Oriente habet Tanaim, quem <lb/>Scithæ Silim vocant: </s> <s xml:id="echoid-s1838" xml:space="preserve">& </s> <s xml:id="echoid-s1839" xml:space="preserve">Mœotida, quem ijdem Te <lb/>meridam, quaſi matrem maris dicunt, & </s> <s xml:id="echoid-s1840" xml:space="preserve">Pontum. </s> <s xml:id="echoid-s1841" xml:space="preserve">Terra eximiè fer <lb/>tilis, naturalem temperiem, cœlumq́; </s> <s xml:id="echoid-s1842" xml:space="preserve">ſatis clemens habet. </s> <s xml:id="echoid-s1843" xml:space="preserve">Frugum, <lb/>vini, & </s> <s xml:id="echoid-s1844" xml:space="preserve">arborum copia nullis poſthabenda, ſed optimis <lb/> <anchor type="figure" xlink:label="fig-062-01a" xlink:href="fig-062-01"/> terris comparanda eſt, adeò amœna, pulcherrimisq́ue vr <lb/>bibus, caſtris, vicis, & </s> <s xml:id="echoid-s1845" xml:space="preserve">pagis exornata. </s> <s xml:id="echoid-s1846" xml:space="preserve">Populorum, gen <lb/>tiumq́; </s> <s xml:id="echoid-s1847" xml:space="preserve">virtute longè Aſia & </s> <s xml:id="echoid-s1848" xml:space="preserve">Africa præſtantior: </s> <s xml:id="echoid-s1849" xml:space="preserve">cæte-<lb/>ris tamen terræ partibus minor. </s> <s xml:id="echoid-s1850" xml:space="preserve">Latitudine nuſquam. </s> <s xml:id="echoid-s1851" xml:space="preserve">225. </s> <s xml:id="echoid-s1852" xml:space="preserve">miliaria <lb/>Germanica excedẽs, niſi vbi circa mediam ſui partem (quo magnis <lb/>frontibus tam verſus meridiem ꝗ̃ verſus aquilonẽ in altum procur <lb/>rit) duabus alis, quibus draconis ſpeciẽ reddit, maximè extenta eſt. <lb/></s> <s xml:id="echoid-s1853" xml:space="preserve">Longitudine ab amne Tanai ad Gaditanũ fretum, qua lõgiſſimè ſe <lb/>expãdit, implet. </s> <s xml:id="echoid-s1854" xml:space="preserve">750. </s> <s xml:id="echoid-s1855" xml:space="preserve">ferè Germana miliaria. </s> <s xml:id="echoid-s1856" xml:space="preserve">In ea prima ab occidẽte <lb/>eſt Hiſpania tripartita (à Gręcis Iberia dicta) draconis caput, quem <lb/>ſuprà retulimus, repræſentans: </s> <s xml:id="echoid-s1857" xml:space="preserve">quæ ab antiquis ſcriptoribus in tres <lb/>regiones diuiditur: </s> <s xml:id="echoid-s1858" xml:space="preserve">In Beticam (modò regnũ Granatæ) Luſitaniam <lb/> <anchor type="handwritten" xlink:label="hd-062-2a" xlink:href="hd-062-2"/> (quę & </s> <s xml:id="echoid-s1859" xml:space="preserve">hodie Portugalia appellatur) ac Tarraconenſem. </s> <s xml:id="echoid-s1860" xml:space="preserve">A nuperis <lb/>autem Tarraconenſis tractus Hiſpaniæ in quinq; </s> <s xml:id="echoid-s1861" xml:space="preserve">regna ſubdiuiſus <lb/>eſt, ſcilicet in Gallitiæ regnum, Nauarræ, regnum Caſtiliæ, quod Ca <lb/>ſtellæ & </s> <s xml:id="echoid-s1862" xml:space="preserve">Legionis dicitur, regnum Cathaloniæ, & </s> <s xml:id="echoid-s1863" xml:space="preserve">Arragoniæ. </s> <s xml:id="echoid-s1864" xml:space="preserve">Proxi <lb/>ma quæ Hiſpanis adiacet Gallia eſt, ſiue Francia, Comata vno no-<lb/> <anchor type="handwritten" xlink:label="hd-062-2a" xlink:href="hd-062-2"/> mine appellata: </s> <s xml:id="echoid-s1865" xml:space="preserve">ab Hiſpanis, pyrenæis montibus, ab exortu autem <lb/>Rheno fluuio rapidiſſimo à Germanis ſequeſtratur, reliquis verò la <lb/>teribus oceano & </s> <s xml:id="echoid-s1866" xml:space="preserve">pelago abluitur. </s> <s xml:id="echoid-s1867" xml:space="preserve">A Ptol. </s> <s xml:id="echoid-s1868" xml:space="preserve">in partes. </s> <s xml:id="echoid-s1869" xml:space="preserve">4. </s> <s xml:id="echoid-s1870" xml:space="preserve">diuiditur, in <lb/>Aquitaniã, Lugdunenſem, Belgicã, & </s> <s xml:id="echoid-s1871" xml:space="preserve">Narbonenſem, quæ Gebenna <lb/>& </s> <s xml:id="echoid-s1872" xml:space="preserve">Iura montibus ab reliquis Galliæ partibus excluditur, & </s> <s xml:id="echoid-s1873" xml:space="preserve">ad pela <lb/>gus vſq; </s> <s xml:id="echoid-s1874" xml:space="preserve">promittitur. </s> <s xml:id="echoid-s1875" xml:space="preserve">Rhenũ aũt accolentes ſunt baſſæ & </s> <s xml:id="echoid-s1876" xml:space="preserve">altæ Ger- <pb o="Fo.29" file="063" n="63" rhead="PETRI APIANI."/> maniæ populi, ab illis ad Sauromatas vſque Germania magna pro-<lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> miſſa eſt, ad aquilonem Germanico oceano magno limite penè di-<lb/>recto iungitur, niſi vbi Dania (quam hodie Daciam appellat) Cher <lb/>ſoneſum efficiens prominet. </s> <s xml:id="echoid-s1877" xml:space="preserve">Ab auſtro finitur alpibus, quas Ptol. <lb/></s> <s xml:id="echoid-s1878" xml:space="preserve">Pœnas aut pœninas vocat. </s> <s xml:id="echoid-s1879" xml:space="preserve">Ipſa haud vlli fertilitate terræ poſtferen <lb/>da, circa montana argentum cæteraq́ue metalla procreat, nec pri-<lb/>uata eſt auro. </s> <s xml:id="echoid-s1880" xml:space="preserve">Rheno, Danubio (qui ſeptem Oſtijs ſe in pontum <lb/>exonerat) Necharo, Albi, cæterisq́ue limpiſſimis fluminibus irriga-<lb/>t<unsure/>ur. </s> <s xml:id="echoid-s1881" xml:space="preserve">Dicta autem eſt Germania à teutonico vocabulo Gar ein man, <lb/>quaſi victrix multarum gentium. </s> <s xml:id="echoid-s1882" xml:space="preserve">In ea prima gentium eſt Sueuia, <lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> deinde Franconia, Turingia, Voytlandia. </s> <s xml:id="echoid-s1883" xml:space="preserve">Spectat & </s> <s xml:id="echoid-s1884" xml:space="preserve">meridiem Vin-<lb/>delicia: </s> <s xml:id="echoid-s1885" xml:space="preserve">deinde Morauia, cui iun gitur Pannonia, huic Myſia prouin <lb/>cia ad pontum vſq; </s> <s xml:id="echoid-s1886" xml:space="preserve">cum Danubio decurrens. </s> <s xml:id="echoid-s1887" xml:space="preserve">In medio Bohemia, <lb/>quæ Hercinia ſylua tanquam natiuo muro, vndique cingitur. </s> <s xml:id="echoid-s1888" xml:space="preserve">Ver-<lb/>ſus Aquilonem habitãt Miſnenſes, Saxones: </s> <s xml:id="echoid-s1889" xml:space="preserve">ab ijs Rhenum verſus <lb/>V V eſt phalia, Haſſia, Hartzia, Phriſia, Hollandia: </s> <s xml:id="echoid-s1890" xml:space="preserve">vltraq́ue Saxones, <lb/>Holſatia, Sileſia, Marchia, Mechelburgia, Pomerania, quæ ad Sarma-<lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> tas porrigitur. </s> <s xml:id="echoid-s1891" xml:space="preserve">Sarmatiam habitant Pruſſi, Liuoni, Ruſſi, Moſſoui, <lb/>Lituani, Poloni, VV alachi, Tranſſiluani. </s> <s xml:id="echoid-s1892" xml:space="preserve">Deinde Dacia eſt, ſuper <lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> quam Thracia, quæ Græcia modò appellatur, habens in ſe particu-<lb/>lares regiones Epirum, Achaiam, Macedoniam, Moream, &</s> <s xml:id="echoid-s1893" xml:space="preserve">c. </s> <s xml:id="echoid-s1894" xml:space="preserve">Sinum <lb/>Hadriaticum cingunt Dalmatæ, Illyrij, in ipſo flexu Hiſtriani & </s> <s xml:id="echoid-s1895" xml:space="preserve"><lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> forum Iulij: </s> <s xml:id="echoid-s1896" xml:space="preserve">vltrà quicquid eſt, vno nomine Italia dicitur, cuius <lb/>prouinciæ ſunt, Campania, Calabria, Latium, Apulia Tuſcia, Vm-<lb/>bria, Gallia togata, Longobardia, Venetiana, & </s> <s xml:id="echoid-s1897" xml:space="preserve">Anconitana.</s> <s xml:id="echoid-s1898" xml:space="preserve"/> </p> <div xml:id="echoid-div88" type="float" level="2" n="1"> <handwritten xlink:label="hd-062-1" xlink:href="hd-062-1a"/> <figure xlink:label="fig-062-01" xlink:href="fig-062-01a"> <image file="062-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/062-01"/> </figure> <handwritten xlink:label="hd-062-2" xlink:href="hd-062-2a"/> <handwritten xlink:label="hd-062-2" xlink:href="hd-062-2a"/> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> </div> </div> <div xml:id="echoid-div90" type="section" level="1" n="86"> <head xml:id="echoid-head93" style="it" xml:space="preserve">DE AFRICA. CAP. II.</head> <p> <s xml:id="echoid-s1899" xml:space="preserve">AFrica (quam Gręci Libiam appellauere) vt Io <lb/> <anchor type="handwritten" xlink:label="hd-063-1a" xlink:href="hd-063-1"/> ſephus lib. </s> <s xml:id="echoid-s1900" xml:space="preserve">Ant. </s> <s xml:id="echoid-s1901" xml:space="preserve">inquit, ab A fro vno ex poſte-<lb/>ris Habrahę de Cethura dicta, qui dicitur du-<lb/>xiſſe aduerſus Libiam exercitũ, & </s> <s xml:id="echoid-s1902" xml:space="preserve">ibi deuictis <lb/>hoſtibus conſediſſe. </s> <s xml:id="echoid-s1903" xml:space="preserve">Incipit à Gaditano freto, <lb/>& </s> <s xml:id="echoid-s1904" xml:space="preserve">finitur Ægyptio, ab A quilone mediterra-<lb/>neo mari cõiuncta, ab Auſtro Æthiopico oce <lb/>ano ſuſcipitur. </s> <s xml:id="echoid-s1905" xml:space="preserve">Habet regiones & </s> <s xml:id="echoid-s1906" xml:space="preserve">prouincias <lb/>Tingitanam & </s> <s xml:id="echoid-s1907" xml:space="preserve">Cæſarienſem Mauritanias, Numidiam, Lybiã, Car-<lb/>t<unsure/>haginenſem, Bizantium, Cyrenaicã, quæ Pentapolis dicitur, Ægy-<lb/>ptum & </s> <s xml:id="echoid-s1908" xml:space="preserve">Æthiopiam. </s> <s xml:id="echoid-s1909" xml:space="preserve">Mauritania itaq; </s> <s xml:id="echoid-s1910" xml:space="preserve">Tingitana à Tingis oppido <lb/>dicta, habet ab oriente Maluam fluuium, à Septentrione mari Itali <lb/>co & </s> <s xml:id="echoid-s1911" xml:space="preserve">Gaditano freto alluitur: </s> <s xml:id="echoid-s1912" xml:space="preserve">ab occidente Atlantico oceano clau <lb/>ditur, ibi Abilis columna, & </s> <s xml:id="echoid-s1913" xml:space="preserve">Heptadel phi montes. </s> <s xml:id="echoid-s1914" xml:space="preserve">Cæſarienſis mau <lb/>ritania habet ab occaſu Tingitanã, ab oriẽte Numidiã, à Septẽtrio <lb/>ne pelagus, vltrà ad Carthaginenſem regionẽ, ab Ampſaga Numi-<lb/>dia eſt, Maſſiniſſæ clara nomine, de quo Ouid. </s> <s xml:id="echoid-s1915" xml:space="preserve">lib. </s> <s xml:id="echoid-s1916" xml:space="preserve">6 Græcis autem <lb/>appellata eſt Methagonitis terra, vbi Hippon regia & </s> <s xml:id="echoid-s1917" xml:space="preserve">Aplirodiſiũ <pb file="064" n="64" rhead="SECVNDA PARS COSMO"/> @iuitates. </s> <s xml:id="echoid-s1918" xml:space="preserve">Accolæ mappalia, hoc eſt, domus, pabulis permutandis, <lb/>quemadmodum Miſnenſium opiliones, plauſtris circumferunt. </s> <s xml:id="echoid-s1919" xml:space="preserve">De-<lb/>inde Africa proprie dicta, à cognomine totius regionis. </s> <s xml:id="echoid-s1920" xml:space="preserve">Vbi Zeu-<lb/>ſis eſt, & </s> <s xml:id="echoid-s1921" xml:space="preserve">oppida, Carthago, Maxula, Vtica Catonis morte inſignis. <lb/></s> <s xml:id="echoid-s1922" xml:space="preserve">Mox in ea Bizantium, quam Libij Phœnices incolunt, Syrtim mi-<lb/>norem continens: </s> <s xml:id="echoid-s1923" xml:space="preserve">vbi Hadrumetis & </s> <s xml:id="echoid-s1924" xml:space="preserve">Leptis ciuitates, Cynips flu-<lb/>uius, & </s> <s xml:id="echoid-s1925" xml:space="preserve">regio Tripolitana, vbi Leptís media, quæ & </s> <s xml:id="echoid-s1926" xml:space="preserve">Neapolis cogno-<lb/>minatur, & </s> <s xml:id="echoid-s1927" xml:space="preserve">Syrtis maior. </s> <s xml:id="echoid-s1928" xml:space="preserve">In intimo ſinu Philenorum aræ, Vltra <lb/>Cyrenaica prouincia eadem Pentapolitana dicta, habet verſus me-<lb/>ridiem gentes Garamantum & </s> <s xml:id="echoid-s1929" xml:space="preserve">Æthiopum, à Septentrione mare Ly <lb/>bicum, finis Cyrenaicus in oriente eſt Catabathmus oppidum, inde <lb/>ad orientem Marmarica, quæ Mareotis Lybia appellatur. </s> <s xml:id="echoid-s1930" xml:space="preserve">Huic con-<lb/>termina eſt Ægyptus regio Nili proxima, cui ab orientis parte iun-<lb/>gitur Iudæa, Arabia petrea, & </s> <s xml:id="echoid-s1931" xml:space="preserve">Erithræum mare: </s> <s xml:id="echoid-s1932" xml:space="preserve">à Septentrione Æ-<lb/>gyptiacum, ab Auſtro Æthiopia eſt, regio pluuiarum omnino igna-<lb/>ra, ſed poſt æſtiualem reciprocationem inundatione Nili amnis, fœ-<lb/>cundatur. </s> <s xml:id="echoid-s1933" xml:space="preserve">Vrbes eius inſignes, Alexandria, totius Ægypti caput, ibi <lb/>S. </s> <s xml:id="echoid-s1934" xml:space="preserve">Catharina Coſti regis filia martyriſata eſt, Babylon olim Babulis <lb/>& </s> <s xml:id="echoid-s1935" xml:space="preserve">noua Babylonia modò Kayrus vel Alchayro, Huic contigua Mem <lb/>phis. </s> <s xml:id="echoid-s1936" xml:space="preserve">Sub Ægypto. </s> <s xml:id="echoid-s1937" xml:space="preserve">Æthiopia eſt. </s> <s xml:id="echoid-s1938" xml:space="preserve">Tum ab oriente Trogloditica re-<lb/>gio. </s> <s xml:id="echoid-s1939" xml:space="preserve">Deinde vix homines magisq́ue ſemiferi, auctore Mela, Ægypa-<lb/>nes & </s> <s xml:id="echoid-s1940" xml:space="preserve">Blemmies, quorum capita abeſſe traduntur, Satyri ſine tectis <lb/>paſſim ac ſine ſedibus vagi habent potius terras quàm habitent, Cy-<lb/>nocephali, Colopedes, ſiue monoculi, nigri & </s> <s xml:id="echoid-s1941" xml:space="preserve">horribiles ſine capite. </s> <s xml:id="echoid-s1942" xml:space="preserve"><lb/>Alit & </s> <s xml:id="echoid-s1943" xml:space="preserve">Aphrica Elephantos, Dracones, Rhinocerontes, Tigrides, Ba-<lb/>ſiliſcos, & </s> <s xml:id="echoid-s1944" xml:space="preserve">multa genera ſerpentum.</s> <s xml:id="echoid-s1945" xml:space="preserve"/> </p> <div xml:id="echoid-div90" type="float" level="2" n="1"> <handwritten xlink:label="hd-063-1" xlink:href="hd-063-1a"/> </div> </div> <div xml:id="echoid-div92" type="section" level="1" n="87"> <head xml:id="echoid-head94" style="it" xml:space="preserve">DE ASIA. CAP. III.</head> <p> <s xml:id="echoid-s1946" xml:space="preserve">ASia tertia pars terræ, ab Aſio Manæi Lidi filio <lb/> <anchor type="handwritten" xlink:label="hd-064-1a" xlink:href="hd-064-1"/> dicta, è tribus partibus tangitur oceano, à meri <lb/>die Indico meridionali, à ſeptentrione Scithi-<lb/>co, ab oriente Eoo, ab aduerſa parte habet Eu <lb/>ropam & </s> <s xml:id="echoid-s1947" xml:space="preserve">Africã, & </s> <s xml:id="echoid-s1948" xml:space="preserve">pelagus quod inter ambas <lb/>immiſſum eſt. </s> <s xml:id="echoid-s1949" xml:space="preserve">In ea reperiuntur multiformes <lb/>& </s> <s xml:id="echoid-s1950" xml:space="preserve">mirę hominũ effigies & </s> <s xml:id="echoid-s1951" xml:space="preserve">varij gentiũ mores: <lb/></s> <s xml:id="echoid-s1952" xml:space="preserve">eſt præterea terra fertilis & </s> <s xml:id="echoid-s1953" xml:space="preserve">temperata, & </s> <s xml:id="echoid-s1954" xml:space="preserve">oĩm <lb/>animantium genere cultiſſima. </s> <s xml:id="echoid-s1955" xml:space="preserve">Huius terræ gentes, vrbes inſignes ad <lb/>hunc modum ſe habẽt. </s> <s xml:id="echoid-s1956" xml:space="preserve">Prima Aſiæ caput eſt Pontus & </s> <s xml:id="echoid-s1957" xml:space="preserve">Bythinia, de-<lb/>inde Aſia propriè dicta, Phrygia, Capadocia, Licia, Caria, Pamphilia, <lb/>Myſia, Armenia, vbi Tigris & </s> <s xml:id="echoid-s1958" xml:space="preserve">Euphrates fluuij in meridiem labentes <lb/>exoriuntur. </s> <s xml:id="echoid-s1959" xml:space="preserve">Poſt Capadoces hominum primi ſunt, qui vnico voca-<lb/>bulo Pontici dicuntur, deinde Amazones, ad Tanaim Sarmatæ, Scy-<lb/>thæ vltimi, Caſpium ſinum ambiunt Caſpij. </s> <s xml:id="echoid-s1960" xml:space="preserve">Medij, Hircaui, ſub his <lb/>Parthi, Carmani, Perſides iuxta ſinum Perſicum, Babiloni, Meſopo-<lb/>tani, Syrij. </s> <s xml:id="echoid-s1961" xml:space="preserve">Spectant meridiem Arabes & </s> <s xml:id="echoid-s1962" xml:space="preserve">ſinum arabicum poſſident.</s> <s xml:id="echoid-s1963" xml:space="preserve"> <pb o="Fo.30" file="065" n="65" rhead="GRAPH. PETRI APIANI."/> Vltra Parthiam Aria eſt, Paropaniſus, Drangiana, & </s> <s xml:id="echoid-s1964" xml:space="preserve">Gedroſis, vltraq́; <lb/></s> <s xml:id="echoid-s1965" xml:space="preserve">eas India exrra intraq́; </s> <s xml:id="echoid-s1966" xml:space="preserve">Gangen, Superiores ac Meridionales, vbi Plin. </s> <s xml:id="echoid-s1967" xml:space="preserve"><lb/>li. </s> <s xml:id="echoid-s1968" xml:space="preserve">7. </s> <s xml:id="echoid-s1969" xml:space="preserve">na. </s> <s xml:id="echoid-s1970" xml:space="preserve">hiſt. </s> <s xml:id="echoid-s1971" xml:space="preserve">multa hominũ eſſe genera indicat, quæ humanis corpori <lb/>bus veſcerentur. </s> <s xml:id="echoid-s1972" xml:space="preserve">Produntur & </s> <s xml:id="echoid-s1973" xml:space="preserve">in Scithia Arimaſpi, vno oculo in fron <lb/>te media inſignes, quibus cõtinuè bellum eſt cum Gryphis circa me <lb/>tallum. </s> <s xml:id="echoid-s1974" xml:space="preserve">Sunt & </s> <s xml:id="echoid-s1975" xml:space="preserve">in quadam Imai montis cõualle homines ſylueſtres <lb/>auerſis poſt crura plantis eximiæ velocitatis. </s> <s xml:id="echoid-s1976" xml:space="preserve">In multis etiam monti <lb/>bus reperitur hominum genus capitibus caninis, pro voce latratum <lb/>edens. </s> <s xml:id="echoid-s1977" xml:space="preserve">Item hominum genus qui Monoſceli vocarentur ſingulis cru <lb/>ribus miræ pernicitatis ad ſaltum. </s> <s xml:id="echoid-s1978" xml:space="preserve">Eoſdemq́ue Sciopodas vocari aſſe <lb/>rit, qui maiori æſtu humi iacentes reſupini, vmbra ſe pedum prote-<lb/>gant. </s> <s xml:id="echoid-s1979" xml:space="preserve">Rurſus homines ſine ceruice, oculos in humeris habẽtes. </s> <s xml:id="echoid-s1980" xml:space="preserve">Circa <lb/>fontem Gangis Indię Aſtomorum gentem ſine ore, halitu tantùm & </s> <s xml:id="echoid-s1981" xml:space="preserve"><lb/>odore viuentem prodit: </s> <s xml:id="echoid-s1982" xml:space="preserve">ſuper hos Pigmæi narrantur, & </s> <s xml:id="echoid-s1983" xml:space="preserve">varia naſcen <lb/>tium mirabilia, & </s> <s xml:id="echoid-s1984" xml:space="preserve">monſtroſa hominum genera idem Plinius tradit.</s> <s xml:id="echoid-s1985" xml:space="preserve"/> </p> <div xml:id="echoid-div92" type="float" level="2" n="1"> <handwritten xlink:label="hd-064-1" xlink:href="hd-064-1a"/> </div> </div> <div xml:id="echoid-div94" type="section" level="1" n="88"> <head xml:id="echoid-head95" style="it" xml:space="preserve">DE AMERICA. CAP. IIII.</head> <handwritten/> <p> <s xml:id="echoid-s1986" xml:space="preserve">AMerica, quæ nunc quarta pars terræ dicitur, <lb/>ab Americo Veſpucio, eiuſdem inuentore no <lb/>men ſortita eſt. </s> <s xml:id="echoid-s1987" xml:space="preserve">Et nõ immeritò, quoniam ma <lb/>ri vndiq; </s> <s xml:id="echoid-s1988" xml:space="preserve">clauditur, Inſula appellatur. </s> <s xml:id="echoid-s1989" xml:space="preserve">Ptolo-<lb/>męo autem & </s> <s xml:id="echoid-s1990" xml:space="preserve">antiquioribus propter nimiam <lb/>eius diſtantiam incognita permanſit. </s> <s xml:id="echoid-s1991" xml:space="preserve">Inuenta <lb/>quidẽ anno Chriſti 1497. </s> <s xml:id="echoid-s1992" xml:space="preserve">ex mandato regis Ca <lb/>ſtiliæ: </s> <s xml:id="echoid-s1993" xml:space="preserve">propter eius quoq; </s> <s xml:id="echoid-s1994" xml:space="preserve">magnitudinem, no-<lb/>uus mundus appellatur. </s> <s xml:id="echoid-s1995" xml:space="preserve">In ea incolæ nudi penitus incedũt, Antropo <lb/>phagi ſunt crudeliſſimi. </s> <s xml:id="echoid-s1996" xml:space="preserve">In ſagittãdi arte certiſſimi: </s> <s xml:id="echoid-s1997" xml:space="preserve">nulliq́; </s> <s xml:id="echoid-s1998" xml:space="preserve">obediunt, <lb/>Dominis ac Regibus carent, In vtroq; </s> <s xml:id="echoid-s1999" xml:space="preserve">ſexu natatores exiſtunt fortiſ-<lb/>ſimi. </s> <s xml:id="echoid-s2000" xml:space="preserve">Ferrum, cæteraq́; </s> <s xml:id="echoid-s2001" xml:space="preserve">Metalla nõ habent, ſed piſcium & </s> <s xml:id="echoid-s2002" xml:space="preserve">animalium <lb/>dentibus ſuas armant ſagittas. </s> <s xml:id="echoid-s2003" xml:space="preserve">In ea quoq; </s> <s xml:id="echoid-s2004" xml:space="preserve">reperitur animal habens <lb/>ſub pectore vtrem quendã natiuum, quo fœtus hinc inde ſecum fert, <lb/>nec niſi lactandi gratia promere ſolet. </s> <s xml:id="echoid-s2005" xml:space="preserve">Currendo ſunt leues admodũ <lb/>atq; </s> <s xml:id="echoid-s2006" xml:space="preserve">velociſſimi. </s> <s xml:id="echoid-s2007" xml:space="preserve">Diuitiæ eorum ſunt variorum colorum auium plu-<lb/>mæ, ac lapillorum quorundam multitudo, quos ornatus cauſa ad au <lb/>res & </s> <s xml:id="echoid-s2008" xml:space="preserve">labia ſuſpendunt. </s> <s xml:id="echoid-s2009" xml:space="preserve">Vniones & </s> <s xml:id="echoid-s2010" xml:space="preserve">aurum, cæteraq́; </s> <s xml:id="echoid-s2011" xml:space="preserve">ſimilia pro nihi-<lb/>lo habent. </s> <s xml:id="echoid-s2012" xml:space="preserve">In dando liberaliſſimi, cupidiſſimiq́; </s> <s xml:id="echoid-s2013" xml:space="preserve">accipiendo perhiben <lb/>tur. </s> <s xml:id="echoid-s2014" xml:space="preserve">Sanguinẽ quoq; </s> <s xml:id="echoid-s2015" xml:space="preserve">in lumbis & </s> <s xml:id="echoid-s2016" xml:space="preserve">tibiarum pulpis comminuunt. </s> <s xml:id="echoid-s2017" xml:space="preserve">Alij <lb/>defunctos cum aqua victuq́; </s> <s xml:id="echoid-s2018" xml:space="preserve">inhumant: </s> <s xml:id="echoid-s2019" xml:space="preserve">alij verò morte luctantes in <lb/>bombiceis retiaculis inter duas arbores in ſyluam ingẽtem, appoſito <lb/>victu ſuſpendũt, & </s> <s xml:id="echoid-s2020" xml:space="preserve">totã diem circa ſuſpenſum ſaltando conſumunt. <lb/></s> <s xml:id="echoid-s2021" xml:space="preserve">Cœlum, Solem, Lunã, & </s> <s xml:id="echoid-s2022" xml:space="preserve">Stellas adorant. </s> <s xml:id="echoid-s2023" xml:space="preserve">Illorum domicilia campana <lb/>rum inſtar fabrefacta ſunt, folijs palmarum deſuper cõtecta. </s> <s xml:id="echoid-s2024" xml:space="preserve">Semini <lb/>bus carent, ſed arborũ radices in farinã comminuunt, & </s> <s xml:id="echoid-s2025" xml:space="preserve">in panes con <lb/>glutinant. </s> <s xml:id="echoid-s2026" xml:space="preserve">Porro hæc inſula in ea mundi parte ſita eſt, qua Sol nobis <pb file="066" n="66" rhead="SECVNDA PARS COSMO"/> Germanis demergitur. </s> <s xml:id="echoid-s2027" xml:space="preserve">Quamuis in noſtra charta appareat in ori-<lb/>ente, oportet enim vt Mappa (quã vocant) incuruetur, donec æqui-<lb/>noctioalis (quum terra vnà cum aquis, quãtum ad maximas ſui par <lb/>tes, rotunda exiſtat) in circulum perfectum redigatur. </s> <s xml:id="echoid-s2028" xml:space="preserve">Deinceps ap-<lb/>parebit nobis in occidente. </s> <s xml:id="echoid-s2029" xml:space="preserve">Habet autem America inſulas adiacen-<lb/>tes quamplurimas, vt Parianã Inſulam, Iſabellam quæ & </s> <s xml:id="echoid-s2030" xml:space="preserve">Cuba di-<lb/>citur, Spagnollam in qua reperitur lignum Guaiacum, quo vtuntur <lb/>noſtrates contra morbum Gallicum. </s> <s xml:id="echoid-s2031" xml:space="preserve">Accolæ verò Spagnollæ inſu-<lb/>læ, loco panis veſcuntur ſerpentibus maximis & </s> <s xml:id="echoid-s2032" xml:space="preserve">radicibus. </s> <s xml:id="echoid-s2033" xml:space="preserve">Ritus <lb/>& </s> <s xml:id="echoid-s2034" xml:space="preserve">cultus iſtarum circumiacentium Inſularum par eſt Americæ ac-<lb/>colarum cultui.</s> <s xml:id="echoid-s2035" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div95" type="section" level="1" n="89"> <head xml:id="echoid-head96" style="it" xml:space="preserve">Appendix Gemmæ <lb/>Friſij.</head> <p> <s xml:id="echoid-s2036" xml:space="preserve">QVemadmodum immenſa quodammodo eſt no-<lb/>ua hæc Orbis pars, & </s> <s xml:id="echoid-s2037" xml:space="preserve">paucis hinc annis primùm <lb/>explorata, ita quotidie alias atq; </s> <s xml:id="echoid-s2038" xml:space="preserve">alias ipſius par-<lb/>tes in noſtram noticiam deduci mirum non eſt. <lb/></s> <s xml:id="echoid-s2039" xml:space="preserve">Quæ enim Ariſtot. </s> <s xml:id="echoid-s2040" xml:space="preserve">de inſula per Carthaginenſes <lb/>reperta inculta deſerta´q; </s> <s xml:id="echoid-s2041" xml:space="preserve">narrat in libello de Mũ <lb/>di miraculis, de hac ne, an de alia intelligi debeat, colligi non poteſt. </s> <s xml:id="echoid-s2042" xml:space="preserve"><lb/>(Quod dico ne quis antea inuentã arguat.) </s> <s xml:id="echoid-s2043" xml:space="preserve">Anno igitur Chriſti. </s> <s xml:id="echoid-s2044" xml:space="preserve">1530. </s> <s xml:id="echoid-s2045" xml:space="preserve"><lb/>Cæſaris Caroli. </s> <s xml:id="echoid-s2046" xml:space="preserve">V. </s> <s xml:id="echoid-s2047" xml:space="preserve">mandato ac auſpicijs, Americæ pars occidua per-<lb/>luſtrata eſt, vbi Regio Peru, omniũ quæ hactenus inuentæ ſunt, cum <lb/>auri tum aromatum ditiſſima, inuenta eſt. </s> <s xml:id="echoid-s2048" xml:space="preserve">Ea ſita eſt in longitud. </s> <s xml:id="echoid-s2049" xml:space="preserve">290 <lb/>graduum, ab occaſu verſus ortum facto ordine: </s> <s xml:id="echoid-s2050" xml:space="preserve">Ab orbe medio verò<unsure/> <lb/>diſſidet auſtrũ verſus partibus quaſi. </s> <s xml:id="echoid-s2051" xml:space="preserve">5. </s> <s xml:id="echoid-s2052" xml:space="preserve">Hanc etiam nouam Caſtiliam <lb/>ab inuentoribus nominant. </s> <s xml:id="echoid-s2053" xml:space="preserve">Hictanta auri atq; </s> <s xml:id="echoid-s2054" xml:space="preserve">argenti vis eſt, vt vaſa <lb/>in contemptiſſimũ vſum deſtinata, inde conflent. </s> <s xml:id="echoid-s2055" xml:space="preserve">Et quod magis mi <lb/>reris, in Ciuitate quadam Collao reperta domus eſt, tota auro tecta. </s> <s xml:id="echoid-s2056" xml:space="preserve"><lb/>Neq; </s> <s xml:id="echoid-s2057" xml:space="preserve">verò minus in alijs fœlix eſt regio, frumento enim bis per annũ <lb/>gaudet, animalium vario genere dotata, feris ſe tamẽ liberam iactat. </s> <s xml:id="echoid-s2058" xml:space="preserve"><lb/>Oues tantæ proceritatis ſunt, vt vice equorum ipſis vtantur, tam´que <lb/>fœcundæ, vt fœtus bis per annum edant. </s> <s xml:id="echoid-s2059" xml:space="preserve">Ciuitates habet legibus atq; </s> <s xml:id="echoid-s2060" xml:space="preserve"><lb/>armis munitas, fluminibus, montibus, ac ſyluis mirũ in modum ador <lb/>nata eſt, Paradiſum dixeris terreſtrẽ. </s> <s xml:id="echoid-s2061" xml:space="preserve">Incolæ verò prudentia, morum <lb/>comitate, artium variarũ peritia, ac fide probè inſtructi, commercia, <lb/>omnem´q probitatem ſatis excolunt. </s> <s xml:id="echoid-s2062" xml:space="preserve">Niſi quòd Chriſtum ignorent, <lb/>qui tamen vt multis iam innotuit, ita cunctis ſpiritu ducente inno-<lb/>teſcat optamus & </s> <s xml:id="echoid-s2063" xml:space="preserve">ſperamus, omni´que induſtria, labore, ac diligentia <lb/>conandum eſt.</s> <s xml:id="echoid-s2064" xml:space="preserve"/> </p> <pb o="Fo31." file="067" n="67" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div96" type="section" level="1" n="90"> <head xml:id="echoid-head97" style="it" xml:space="preserve">De Abaco, hoceſt, particu</head> <head xml:id="echoid-head98" style="it" xml:space="preserve">lari ſeu radicali Orbis deſcriptione. CAP. V.</head> <p> <s xml:id="echoid-s2065" xml:space="preserve">ABacus ſiue particularis enumeratio Regio-<lb/>num, Prouinciarum, Satrapiarum, Duca-<lb/>tuum, Marchiarum, Comitatuum, Vrbium, <lb/>Oppidorum´que, Montium, Fluminum, Fon <lb/>tium, Lacuum, Inſularum, Peninſularum´q; <lb/></s> <s xml:id="echoid-s2066" xml:space="preserve">notarum Europæ, Aficæ, Aſiæ, & </s> <s xml:id="echoid-s2067" xml:space="preserve">Ameri-<lb/>cæ, cum eorundem gradibus tam longitudi-<lb/>nis quàm latitudinis. </s> <s xml:id="echoid-s2068" xml:space="preserve">Additis ex Ptolemæo <lb/>& </s> <s xml:id="echoid-s2069" xml:space="preserve">alijs Coſmographis, deſideratis aliquot locis,* notatis.</s> <s xml:id="echoid-s2070" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div97" type="section" level="1" n="91"> <head xml:id="echoid-head99" style="it" xml:space="preserve">EVROPÆ PARTICVLARIS <lb/>DESCRIPTIO.</head> <note position="right" xml:space="preserve"> <lb/>HISPANIÆ REGIONIS <lb/>Partes, & Oppida. <lb/>¶ Beticæ, modòregni Gra-<lb/>natæ Ciuitates. <lb/>Granata, Pto. Illiberis # 8.34|37.50 <lb/>Hiſpalis nunc Sibilla # 5.42|37.0 <lb/>Corduba # 7.4|37.50 <lb/>Calpe mons & Herculis co-<lb/>lumna in interiorimari, nũc <lb/>mõs Gibaltar, vbi ſtrictũ de <lb/>Zibaltar # 7.30|36.15 <lb/>Vama # 6.15|38.25 <lb/>*Malaca, vul. Malaga # 8.50|37.30 <lb/>¶ Tarraconenſis T’ractus Hi <lb/>ſpaniæ habet modò. 5. regna. <lb/>Regnũ Gallitię. Regnũ Nauarrę. <lb/># Caſtellæ <lb/>Regnum # Caſtiliæ # idem <lb/># Legionis <lb/>Regnum # Cathaloniæ <lb/>Regnum # Arragoniæ <lb/>¶ Gallitiæ regni partis Tra-<lb/>ctus Tarraconenſis Hiſpaniæ. <lb/>Compoſtella, ibi S. Iaco. # 5.8|44.13 <lb/>Aſturicenſis # 9.30|44.0 <lb/>Finis terræ # 4.23|44.2 <lb/>Almoiſa # 4.40|44.45 <lb/>*Flauiona vul. Bilbao, # 11.45|45.25 <lb/>*Flauiobriga, aut fons Rabia, vul. <lb/>Fontarrabie # 13.30|44.15 <lb/>*Eaſo ci@itas, vul. <lb/>S. Sebaſtianus # 15.30|45.5 <lb/>¶ Caſtellæregni P.T.T.H. <lb/>Toletum, ibi Alfonſus rex <lb/>fecit tabulas Aſtrono. # 9.4|39.55 <lb/>Salamanca # 7.39|40.15 <lb/>Valeria nunc Concha, # 11.34|43.5 <lb/>*Complutum, Alcala de <lb/>Enares # 10.20|41.40 <lb/>*Iuliobriga, vulgo <lb/>Logronyo. # 12.10|44.0 <lb/>*Pintia nunc vallis oletana, vulg. <lb/>Valladolit # 10.10|42.0 <lb/>¶ Arragoniæ regni P.T.T.H. <lb/>Cæſar auguſta, modò <lb/>Sarragoſſa # 13.45|41.45 <lb/>Burges # 10.33|42.48 <lb/>¶ Nauarræ regni P.T.T.H. <lb/>Pampilona Pto. <lb/>Pompelon # 13.15|43.9 <lb/>Vyanna # 12.15|43.0 <lb/>¶ Cathaloniæ regni P.T.T.H. <lb/>Carthago noua # 15.57|38.0 <lb/>Tarragona # 16.12|41.0 <lb/>Gerona, Pto. gerunda # 17.42|42.12 <lb/>Barſalona, Pto. Barcinõ # 17.0|41.35 <lb/></note> <pb file="068" n="68" rhead="SECVNDA PARS COSMO."/> <note position="right" xml:space="preserve"> <lb/>¶ Luſitaniæ quæ et hodie Por <lb/>tugaliæ regnum appellatur <lb/>partis Hiſp. ciuitates. <lb/>Lyſibona, Liſbona # 4.18|39.38 <lb/>Portugalla, Portugallo # 4.56|41.35 <lb/>Arcobriga # 5.40|39.35 <lb/>*Briga, priſca Hiſpanorum lingua <lb/>oppidum dicitur, vt Thracibus <lb/>Bria, Germanis Burg, ideo hæ plu <lb/>rium locorũ ſunt terminationes, <lb/>Pax Iulia, nunc Pæenſis, vulg. <lb/>Badaioz # 5.20|39.0 <lb/>Merida # 8.0|39.30 <lb/>*Sacrum promontorium, vulgo <lb/>Cabo de S. Vincentio # 2.30|38.15 <lb/>*Bræcara anguſta, aliâs Bracara <lb/>Metropolis Portugaliæ dicta, vul. <lb/>Braga # 6.0|43.40 <lb/>*Cecilia Gemillina nun c S. Maria <lb/>de Guadalupe # 8.30|39.30 <lb/>¶ GALLIÆ REGIONIS <lb/>nunc Franciæ occidentalis <lb/>partes & Ciuitates. <lb/>¶ Narbonenſis Galliæ Tra-<lb/>ctus, Prouinciæ partis Galliæ <lb/>Narbonenſis ciuitates. <lb/>Marſilia # 24.30|43.6 <lb/>Aquenſis, aut Aquis # 24.30|43.40 <lb/>Arelatum, vul. Arles # 22.4|43.18 <lb/>¶ Sabaudiæ ducatus, vulgo <lb/>Sophoy P. G. N. C. <lb/>Digneuſis, Genff # 23.45|44.50 <lb/>Lauſanna, vul. Loſan # 24.5|46.13 <lb/>Lugdunum, vul. Lyon <lb/>Emporium # 21.25|45.10 <lb/>¶ Prouin. Tholoſanæ <lb/>P. G. N. C. <lb/>Toloſa metropolis # 17.0|43.30 <lb/>Narbona # 19.18|43.0 <lb/>Perpineana # 18.30|42.40 <lb/>Minans # 21.11|43.30 <lb/>Mons peſſulanus, vulgo Mompe-<lb/>lier. S. Rochi patrio # 20.46|43.5 <lb/>*Foſſæ Marianæ, vulgo Aygues <lb/>@ortes # 1<unsure/>2.45|42.40 <lb/>Ibi inter Carolum. V. Cæſarem, & <lb/>Franciſcum Valeſium Francorum <lb/>Regẽ menſe Iulio Anni. 1538. om-<lb/>niũ applauſu, perpetuũ (vt crede-<lb/>batur) fœdus percuſſum eſt, quod <lb/>exiguotẽpore inuiolatũ permãſit. <lb/># ¶ Delphinatus P.G.N.C. <lb/>Vienna vul. Vienne. D. Anthonij <lb/>heremitæ reliquijs ſplendida. <lb/># 21.25|44.48 <lb/>S. Mauritius # 23.0|44.40 <lb/>Auenio, Auiona, vulg. Auignon, <lb/>Summorum aliquando pontificũ <lb/>ſedes fuit # 22.0|43.52 <lb/>Valentia # 23.0|44.30 <lb/>¶ Aquitaniæ Galliæ Tractus <lb/>Burgundiæ. P.G.Lug.C. <lb/>Matiſto # 20.32|45.48 <lb/>Diſyan aut Digyon, ibi præclara <lb/>Ducum Burgundiæ conſpiciũtur <lb/>monumenta # 19.52|47.0 <lb/>Biſuntiũ aut Bizantium, vulgo <lb/>Beſanſon # 22.20|47.36 <lb/># ¶ Auerniæ ducat. P.G.L.C. <lb/>Rhodes, Pt. Segodunũ. # 18.30|45.15 <lb/>Lepni # 19.40|45.18 <lb/>*Auguſtæ aquæ, vulgo Bayone <lb/># 17.0|44.40 <lb/>*Burdigala, Burdeus # 18.0|45.30 <lb/>*Pictauium. Pto. Auguſtoritum, <lb/>Poictiers # 17.50|48.20 <lb/># ¶ Normandiæ ducatus. <lb/>P. G. L. C. <lb/>Cheriburgum # 14.35|50.0 <lb/>Rhotomagus, Roan # 15.50|49.0 <lb/>*Iuliobona portus, vulg. Houfleu <lb/># 20.15|51.20 <lb/># ¶ Franciæ, P.G L.C. <lb/>Pariſius, Pto. Lucodecta, vul. Paris <lb/>Parlamento Regio, vniuerſali præ <lb/>clariſſimo ſtudio, mercatorib. non <lb/>vulgaribus, nitidiſſimo´q; Sequana <lb/>flumine gaudens # 17.8|47.55 <lb/>Remis, vul. Reims, Metropolis, in <lb/></note> <pb o="Fo.32" file="069" n="69" rhead="GRAPH. PETRI AP."/> <note position="right" xml:space="preserve"> <lb/>qua reges Franciæ conſecrantur <lb/># 18.55|48.45 <lb/>¶ Britanniæ ducatus P.G L.C. <lb/>Landruſgus # 10.5|49.58 <lb/>Rhocella, v. Rochelle # 11.39|47.23 <lb/>Nantes # 12.6|48 12 <lb/>¶ Turoniæ ducatus P.G. L.C. <lb/>Aurelia, vul. Orleans # 15.36|47.13 <lb/>Turonia, vul. Tours # 13.55|47.28 <lb/># ¶ Andegauiæ comitatus <lb/>P. G. L. C. <lb/>Andauagia aut Andes, vulg. <lb/>Angiers # 13.49|46.0 <lb/># ¶ Belgicæ Galliæ tractus. <lb/>¶ Campaniæ comitatus P. G. B. C. <lb/>Catalaunũ, v. Chaalon # 21.30|48.30 <lb/>Rettena, vul. Rethe # 22.26|49.0 <lb/>¶ Brabãtiæ ducatus P. G. B. C. <lb/>ad Germaniam teudunt. <lb/>Louaniũ, vul. Louẽ, vniuerſali ſtu <lb/>dio, ſalubritate aëris, vineis, ne-<lb/>moribus paſcuis´q, & vbertate <lb/>agri florens # 20.36|50.59 <lb/>Bruxella, vul. Brueſſel, D. Gudulę <lb/>reliquijs, Procerũ&aula Caroli v. <lb/>Cæſaris, venationibus, montibus, <lb/>& fontibus miro ingenio necnon <lb/>arte extructis nobilis, # 20.16|51.4 <lb/>Antuerpia, Pto. Atuacutum, vul. <lb/>Antwerpen, Germanis Andorff, <lb/>Gallis Anuers dicitur, Emporiũ <lb/>per Europã, reliquas´q; mũdi par <lb/>tes, merciũ varietate & ob portuũ <lb/>commoditatem percelebre: Tem <lb/>plorũ ornatu, ac Senatus pruden <lb/>tia decoratum: Necnõ mœnium, <lb/>portarum´q fortitudine ac pul-<lb/>chritudine, machinis´que bellicis <lb/>munitiſſimum # 20 16|51.28 <lb/>Buſcum ducis, Thertogen boſch, <lb/>ciuitas armis ſtrennuis´q viris mu <lb/>nita, diuerſo mechanico exerci-<lb/>tio laborans, & paſcuis abundans <lb/># 20.40|52.10 <lb/>Machlinia, Machelẽ, loci amœni-<lb/>tate, platearũ amplitudine, virgi <lb/>nũ pulchritudine, reliquijs´q; D. <lb/>Rumoldi illuſtris # 20.20|51.15 <lb/>Lira, Liere. D. Gummari cor-<lb/>pore, boum nundinis, ſitus´q; <lb/>fortitudine præclara. # 20.24|51.21 <lb/># ¶ Flandriæ comitatus <lb/>P. G. B. C. <lb/>Gandauum, Ghendt, Natiuitate <lb/>C A|R O L I. V. Cæſaris Inuictiſs. <lb/>in vigilia Matthię, Anno. # 1500 <lb/>decorata # 19.8|51.14 <lb/>Brugę, Brugge, emporium præcla <lb/>ris ædificijs pollẽs, olim apud Eu <lb/>ropæos omni genere mercaturæ <lb/>triumphans. # 18.7|51.30 <lb/>*Tornacum, Pto. Baganum, vul. <lb/>Tornay # 25.15|51.40 <lb/>Caletum, Pto. Geſoriacũ nauale, <lb/>vulg. Cales, portus præpotẽti An-<lb/>glorum regi parens # 16.2|51.44 <lb/>¶ Picardiæ ducatus P.G.B.C. <lb/>Ambianũ Amiẽs, ibi caput Ioan. <lb/>Baptiſtę eſſe dicitur # 16.40|49.49 <lb/>S. Iodocus # 16.52|52.0 <lb/>Samarobriga # 22.20|52.10 <lb/>¶ Hannoniæ ducat. P.G.B.C. <lb/>Valenchenis # 19.30|50.9 <lb/>¶ Lucẽburgij duc. P. G. B. C. <lb/>Lucenburgum, Pto. Auguſta Ro-<lb/>manduorum # 25.30|50.0 <lb/>Creutznacũ, Creutz # 24.34|50.2 <lb/>Sarbruccũ, Sarbruck # 23.47|49.16 <lb/>Keyſerluterna # 24.44|49.22 <lb/># ¶ Iuliaci ducatus, Gulich <lb/>P. G. B. C. <lb/>Bonna vulgo Bonne # 23.23|50.47 <lb/>Iuliacum, Gulich # 22.44|51.8 <lb/>Leodium, Ludich # 21.48|50.51 <lb/>Aquiſgranum, Achen # 22.24|51.6 <lb/>¶ Geldriæ ducatus P.G.B. C. <lb/>Geldria aut Gheldere<unsure/> # 22.33|51.42 <lb/>¶ Cleuiæ ducatus P.G.B.C. <lb/>Cleuis vulgo Cleff # 22.6|52.0 <lb/></note> <pb file="070" n="70" rhead="SECVNDA PARS COSMO."/> <note position="right" xml:space="preserve"> <lb/># ¶ Heluetiorum tract <lb/>P. G. B. C. <lb/>Vrbs s Galli # 27.6|47.8 <lb/>Conſ<unsure/>tantia, Coſtnitz # 26.43|47.30 <lb/>Tigurum, vul. Zurch # 26.36|46.48 <lb/>Badena, vulg Baden # 25.16|48.44 <lb/>Lucerna # 26.0|46.34 <lb/>Friburgũ in œchlãdia # 24.18|46.25 <lb/>Berna # 24.18|46.25 <lb/># ¶ Alſatiæ P.G.B.C. <lb/>Colmaria # 24.3|48.12 <lb/>Seleſtadiũ, Schletſtat # 24.6|48.22 <lb/>Cæſarmontanum, vulg. <lb/>Keyſerſperg # 23.48|48.14 <lb/>Hagenoia, hagenau # 24.36|49.7 <lb/>¶ Superioris & altæ Germa-<lb/>niæ Tractus & Ciuitates. <lb/>Baſilea, Auguſta Rauricorum, <lb/># 24.22|47.41 <lb/>VVormatia, worms # 25.15|49.44 <lb/>Conſtantia de qua ſuprà <lb/>Spira, Spier # 25.36|49.20 <lb/>Argentina Straſburg # 24.30|48.45 <lb/>Moguntia, Pto. Mocontiacũ, vul. <lb/>Mentz, Metropolis & limes altæ <lb/>& baſſæ Germaniæ: in qua lauda <lb/>bilis illa & vtiliſſima ars impreſ-<lb/>ſoria circa An. Dñi. 1453. per Ioan <lb/>nẽ Fauſtũ inuenta eſt. # 25.4|50.8 <lb/>¶ Inferioris aut baſſæ Ger-<lb/>maniæ Ciuitates hæ ſunt. <lb/>Colonia, vulg. Coln. Ptol. <lb/>Agrippinenſis # 23.28|51.0 <lb/>Gampena, kampen, quæ ad <lb/>Friſiam ſpectat # 21.46|52.50 <lb/>Confluẽtia, Coblentz, ibi Rhenus <lb/>& Moſella confluunt # 23.56|50.25 <lb/>Andernachum, Andernach <lb/># 23.29|50.25 <lb/>¶ Magnæ Germaniæ partes <lb/>& Ciuitates ciſrhenanæ ad <lb/>Rhenum ſitæ. <lb/>Schathuſa, Hel. c. # 24.58|47.28 <lb/>Curia, Chur, Rhetię c. # 27.40|46.29 <lb/>Veldchirachium, vul. Feldchirch <lb/>Auſtriæ c. # 27.42|47.0 <lb/>Vberlinga, Iberling. # 26.43|47.43 <lb/>Suollis, Suol. Friſiæ attinet <lb/># 22.8|52.47 <lb/>Veſalia # 22.45|51.30 <lb/># ¶ Algeæ partis Rhetiæ & <lb/>P. G. M. C. <lb/>Caufburna # 27.26|47.49<unsure/> <lb/>Campidona, kemptẽ # 27.58|47.31 <lb/>Fyeſſen # 28 18|47.32 <lb/>¶ Briſgeæ Rhetiæ P.G.M.C. <lb/>Friburgum # 24.38|48.13 <lb/>Briſacũ, vul. Briſach # 24.21|48.6 <lb/># ¶ Nigræ ſyluæ P.G.M.C. <lb/>Villinga, Filingen, prope fontes <lb/>Danubij & Nechari # 25.18|47.12 <lb/>Rotuuilla # 25.50|48.16 <lb/>¶ Inferioris aut baſſæ Sueuiæ <lb/>P. G. M. C. <lb/>Vlma, vulg. Vlm # 27.30|48.26 <lb/>Ottinga # 28.3|48.58 <lb/>Fõs ſalutis, Hailprun # 26 15|49.10 <lb/>Nordlinga, Pto. Aræ flauiæ <lb/># 27.54|48.49 <lb/>Dinckelſpuel # 27,53|48.56 <lb/>Laubinga, Laubing. patria Alber <lb/>ti magni phil. acutiſ. # 27.51|48.25 <lb/># ¶ Vvirtenbergum, ducatus <lb/>Sueuiæ P.G.M.C. <lb/>Eſlinga # 26 33|48.35 <lb/>Tubinga # 26 23|48 38 <lb/>Stuthgardia, ſtogkartẽ # 26.28|48.47 <lb/># ¶ Superioris Sueuiæ <lb/>P. G. M. C. <lb/>Bibracum, bibrach # 27.25|48.4 <lb/>Auguſta Rhetiæ, vulg. <lb/>Augſpurg # 28.31|48.15 <lb/># ¶ Badenæ Marchiæ <lb/>P. G. M. C. <lb/>Badena baden, ibi ſunt Termæ <lb/># 25.16|48.44 <lb/>Bretta, Bretten # 25.57|49.5 <lb/>Phorcena, Phortzen # 25 49|48.58 <lb/></note> <pb o="Fo.33." file="071" n="71" rhead="GRAPH. PETRI AP."/> <note position="right" xml:space="preserve">¶ Palatini Ducatus P. G. M. C. Heydelbergum. Ptol. Budoris # 25.38|49.35 Landoa, vel Landauia # 25.9|49.16 ¶ Franconiæ ducatus, aut Franciæ orientalis P. G. M. C. Francophordia, vulg. Franckfort Germanorũ emporiũ # 25.38|50.12 Herbipolis, Pto. Artaunum, wurtzpurg # 27.3|49.58. Bamberga, Pto. Grauionariũ, ibi claret Ioa. Schoner, vir mathema ticarũ rerũ excellens. # 28.10|49.56 Mildeburgum # 26.34|49.44 Mons regius, vul. Kunigſperg, lo- cus natiuitatis loãnis de mõte re gio, qui olim erat reſtaurator Ma thematicę diſciplinę # 28.4|50.16 Boſphorꝰ Ochſenfurt, # 27.16|49.49 Trutauia, Pto. Locoritum, vul. Vorcham # 28.18|49.46 Charolipoli<unsure/>s, karlſtat # 26.54|50.5 Haſphordia, haſfurt # 27.52|50.12 Kitzingum, kitzing # 27.27|49.53 Anſpachum # 27.51|49.25 Suinphordia # 27.29|50.10 ¶ Noricæ P. G. M. C. Noribergum, Pto. Segopunũ, Nu renberg, totius Germaniæ fami- geratiſſima ciuitas # 28 20|49.24 Guntzenhuſa # 27 41|49.18 Neagora, Ptol. Deuona, Neumarck # 28.52|49.16 weyſzenburgum # 27.47|49.10 ¶ Turingiæ P. G. M. C. Erphordia, Ptol, Bicurgium Tu- ringiæ Erffort # 28.30|51.10 Neoburgũ Neuburg # 29.15|51.20 Ariſtadium Arnſtad # 28.19|51.2 Iſenachum Yſenach # 27.45|51.6 Northuſiũ, northauſzẽ. # 28.22|51.43 Gena, vulgo, Ien # 29.2|51.8 V<unsure/>imaria, weynmar # 28.45|51.15 ¶ Voytlandiæ prouinciæ ci. Chulmacũ, Kulmach # 28.50|50.8 Curia Zumhoff # 29.30|50.20 Zibicka, zwick, aliàs Cigneum oppidum # 29.52|50.46 ¶ Montanarum Boemiæ C. M onacum, Herçiniæ, vul. waldt munchen # 29.29|49.18 Chamum, vul. Kham # 30.28|49.7 Phorus, Furdt # 30.36|49.12 Rhichenbachum, cœnobium po tentiſſimum # 30.10|49.3 Egra, Ptol. Monofgada Eger # 29.44|50.5 Amberga, Pto. Cantiœbis Amberg # 29.3|49.26. Sultzpagum # 29.1|49.35 Salicetum, weiden # 29.30|49.40 ¶ Boemiæ regni P. G. M. C. Cubitus, Elenbogen # 30.16|50.8 S. Ioachimi vallis # 30.20|50.20 Praga Pto. Caſurgis, Pragen. Regia Bohemiæ # 32.0|50.6 Prugis, Prugs # 20.50|50.18 Pilſzen # 31.0|50.0 Mons cucullæ, Kuttenberg # 32.45|49.52 Pudoiſa, Budweyſz # 32.16|49.0 ¶ Bauariæ aut Boiariæ. Pto. Vmdeliciæ P. G. M. C. ¶ Ad Alemanũ flu. Baua. Ci. Aychiſtadium, vulgo Aychſtadt epiſcopalis # 28.34|48.51 Dietphurdium # 29.25|48.52 ¶ Ad Danubium flu. Ba. Ci. Lycoſtoma, os lyci, Ibi eſt arx ſemidiruta # 28.31|48.44 Neoburgium # 28.49|48.42 Ingolſtadium # 29.6|48.42 Voburgum # 29 19|48.42 Ncoſtadium # 29.32|48.41 Kelhaimum # 29.35|48.46 Abudiacum danubianum, vulgo <pb file="072" n="72" rhead="SECVNDA PARS COSMO."/> Abach # 29.45|48.50 Reginoburgium, nũc Ratiſ bona, Pto. Artobriga, vul. Regenſpurg, ibi eſt ſuburbana ciuitas Hophe dicta # 29.50|48.56 Strubinga, Straubing # 30.22|48.46 Tectodorphium, vulgo, Deckendorff # 30.45|48.47 Vilſſouia # 31.10|48.42 Bathauia, paſſaw # 31.33|48.42 ¶ Ripenſis Boiariæ & medi- terranea ciuitates. ¶ Altæ Boiariæ. Angiloſtadium, Neoborgiũ, Neo ſtadium, Dietfurdiũ, Aychſtadiũ, Kelhaimum, vt ſupra. VVendingum # 28.31|48.53 P faffenhouen # 29.20|48.31 Fridobergomum Vindelicorum vul. Fridberg # 28.41|48.22 Schonga # 28.32|47.40 Landabergomum vulg. Lanſberg # 28.30|47.56 Andex # 28.50|47.56 Ambronis lacus, vulgo Amberſee # 28 45|47.55 Beilhaimum # 28.45|47.42 Carolobergomum, Karlſperg, incunabula Imperatoris Caroli magni # 29.5|47.52 Vermislacꝰ, wirmſee # 29.20|47.45 Gradus lacus # 28.50|47.30 Kochelus lacus # 29.10|47.30 Italorum lacus # 29.10|47.22 Tigurinus lacus # 29.37|47.32 Aqueburgum # 30.6|47.54 Monachum. Pto. Cambodunum, vulgo Munchen # 29.16|48.0 Fruxinum, Freyſing # 29.27|48.20 Abuſina, Abenſperg, in ripa Am- pſi amnis ſita, n<unsure/>atiuitate loannis Auẽtini Hiſtoriogr. Phil. Poetcę, & Mathematici inſignis # 29.37|48.40 Hohenw\arth # 29.0|48.35 Æcha # 28.48|48.29 Collis, Rhain, claret natiuita- te Georgij Tanſtetter, Medici & Aſtron. peritiſſ. # 28.35|48.39 Auguſta Vindelicorũ ædificium nũc dirutũ, ibi Loyſa & Iſara, duo rapidiſſima flumina ex alpibus ꝓ currẽtia, confluunt # 29.18|47.42 ¶ Baſſæ ſeu inferioris Boiariæ P. G. M. C. Abudiacum danubianum, Strau- binga, Chamũ, Tectodorphium, Batauia, Phorus vt ſuprà, Grauedunũ, grauenau # 31.10|48.57 Landunum, Landau # 30.25|48.45 Dingolfinga # 30.15|48 27 Landeſuta, landſhut # 26.53|48.19 Moſzburgium # 29.35|48.19 Ariodunũ, aerding # 29.35|48.10 Eckenfelda, patria D. Ioanis Land ſperger paſtoris eccleſiæ S. Iodoci Landeſutæ, Ducis’que Baij, ſacel- lani # 30.36|48.20 Schærdinga # 31.29|48.30 Neagora Vindelicorũ vul. Neu- marakt natiuus locus D. Eraſmi Gans notarijvic. Ratiſ. # 30.23|48.17 Brundunũ Braunaw # 31.3|48.10 Ottinga # 30 37|48.8 Burguſiũ Burghauſen. # 30.51|48.4 Diethmaningium # 30.51|47.56 Chimus lacus # 30.20|47 40 Saliſburgium quondam Iuuauia dicta # 31.0|47.44 S. V Volfgangus # 31.30|47.41 Luphium, Laufien # 31.0|47.47 ¶ Auſtriæ ſeu ſuperioris Pan noniæ P. G. M. C. Enſa, à nonnullis Lau- rianum # 32.45|48.0 S. Leopoldus # 34.22|48.12 Steyra, Steyr # 32.40|47.48 Neapolis Neuſtat # 34.45|47.54 Schad Vienna # 34.36|47.44 <pb o="Fo.34." file="073" n="73" rhead="GRAPH. PETRI AP."/> Dreiſſigkirchen # 35.2|48.16 Villa S. Petri # 34.58|48.16 ¶ Ripenſes Auſtriæ iuxta Danubium C. Lintza, Pto. Aredate, Lintz # 32.30|48.4 Ipſa, Ips # 33.43|48.6 Chremſa # 34.5|48.24 Melcha # 34.1|48, 5 Vienna pannoniæ, Ptol. Iuliobo- na, quam Sabellicus vult dictam Flauianã. Auſtrię Metropolis, quę à Solymanno acriter obſeſſa fuit anno. 1533. qui adueniẽte Cæſare terga dedit # 35.8|48.22 ¶ Morauiæ prouinciæ. P. G. M. C. Olmuntha, Pto. Eburum, vulg. Ol mũtz, Morauię Regia # 34.40|49.30 Trebetia, trebitz # 33.29|49.26 Znoimia, znaem # 34.0|48.49 Tropana, Troppan # 34.20|50.6 Brunna, prynn # 34.0|49.8 Stelle montanum, vul. Sternberg # 34.45|49.38 ¶ Sleſiæ prouinciæ. P. G. M. C. Sittauia, ſittaw # 32.9|50.52 Gorlitium, gorlitz # 32.30|51.0 Vratiſlauia, Ptol. Bigordis Sleſiæ metropolis, preſlau # 34.34|51.10 Glogauia magna, Ptol. Lugidu- # num # 33.1|51.31 Niſſa, vul. neyſſe # 35.0|50.30 Sagana # 32.8|51.30 Paucinum, bautzen # 31.50|51.0 ¶ Miſniæ Marchionatus P. G. M. C. Miſna, Meyſſen # 30.45|51.5 Torga, Ptol. Argelia # 30.36|51.30 Mons S. Annæ. # 30.20|50.31 Lyptzigum, vulgo, Leyptzig, ibi claret<unsure/> pręceptor meus Vvlfangus Schindler Cubiteñ, ſacrę theolog. Licen. Colle. prin. collegiatus, cę- teri´q; viri in omni ſtudiorum ge- nereilluſtrati # 29.58|51.24 Gryma, Grym # 30.11|51.15 Leyſznigum, vulgo, Leyſnigk, patria videlicet mea. Oppidum in excelſo monte natura & arte mu nitum, habens arcem in colle alto petroſo, dictã Mildenſtain, Frede- rico & Ioanni germanis fratribus Saxoniæ ducibus attinet, cui iam noſtra tempeſtate præſidet Geor- gius kitzſcher nobili genitus pro- ſapia. Ibi´q; dulci ſuſurro præter- fluit Molta limpidiſſimus amnis ex Boemiæ promontanis procurrens. # 30.20|51.10 Buech # 30.21|51.7 Rochlitium, Rochlitz # 30.15|51.2 Aſchitza # 30.32|51.7 Dobelium, dobeln # 30.32|51.7 Mituueida # 30.28|51.3 Cholditza, Kolditz # 30.14|51.8 Friburgum # 30.39|50.58 Chemnitza, kemnitz # 30.35|50.56 Penica # 30.10|50.54 Ceitza vulgo, czeitz # 29.28|51.8 Dreſena, Dreſen # 31.3|51.0 Martiſburgum. vulgo Merſzburg # 29.35|51.34 ¶ Saxoniæ ducatus P. G. M. C. wittenberga Ptol. Calegia wittenberg # 30.30|51.50 Halberſtadium Pto. Pheugarum Halberſtat # 28.38|52.11 Luneburgum Pto. Marionis Lunenborg # 27.50|54.0 Brunſuicum Ptol. Tuliſurgium Braunſuick # 28.0|52.34 Einbica vul. Einbec, ibi nobile zi- tum decoquitur # 27.32|52.6 Le<unsure/>oburgum, Ptol. Cœnœnum Le benberg # 28.2|54.10 Hallis Saxoniæ # 29.46|51.41 Lubecum, Lubeck # 28.20|54.48 Porthenopolis Pto. Meſuium vul <pb file="074" n="74" rhead="SECVNDA PARS COSMO."/> go, Meidburg # 29.38|52.20 Hertſburgum # 30.44|51.42 Bremis. Pto. Phabiranum Bremen # 25.9|53.40 Mindena, Minding # 25.44|52.50 VVerdena, werden # 26.35|53.25 ¶ Hartzæ, vulgo am Hartz Tractus partis Sax. & M. G. C. Zangerhuſa # 29.13|51.39 Yſzleubia, vulgo Eyſzleuben. # 29.20|51.46 ¶ VVeſtphaliæ Marchiæ P. G. M. C. Monaſterium, Pto. Mediolanium vulg. Munſter, Mo<unsure/>tropolis VVeſt- phaliæ, ab Anabaptiſtis noua Ieru ſalem dicta, qui poſt longam occu pationem ab ea expulſi ſunt in na tali S. Ioan. Baptiſtæ, Anno. 1535. Ioannes verò Leydanus ſartor il- lorum Dux, quem regem Iſrael & Sion eſſe dicebant, in perpetuũ ſpe ctaculum viuns caueę ferreę inclu ſus, atque è turris S. Lamb. faſtigio ſuſpenſus, inedia periit. # 24.8|52.0 Oſnaburgum # 24.16|52.30 Padeburna, Pto. Teuderium Palborn # 25.38|52.0 Suſatum, Soeſt # 24.56|51.43 ¶ Haßiæ aliâs Heßiæ pro- uinciæ. P. G. M. C. Putzbachium # 25.39|50.35 Caſſilia, Kaſſell # 26.36|51.34 Alfeldia # 26.15|51.0 Marchburgum, Pto. Amaſia # 25.45|51.0 ¶ Phriſiæ prouinciæ P. G. M. C. Groninga, Phileam, Groningen # 22.54|53.16 Thama, vul. Tham # 23.4|53.22 Suollis, Ptol. Naualia, vul. Swol # 22.8|52.47 Emde # 23.16|53.28 Dockena, Dockum. Hic<unsure/> ortus eſt Gemma Friſius Medicusac Mathe maticus apud Louanienſes præ- clariſſ. # 22.26|53.42 ¶ Hollandiæ peninſulæ P. G. M. C. Amſtelredama, vulg. Amſterdamme # 21.4|52.39 Traiectum, Vtricht # 20.52|52.16 Dordracũ, Dordirecht # 19.56|52.16 Campena, Kampen # 21.22|52.50 Leydis, Leyden # 20.47|52.44 ¶ Holſatiæ Ducatus in ingreſ ſu Cimbricæ Cherſoneſimodò Da tiæ aut Daniæ P.G.M.C. Flenſzburgum # 28.18|56.7 Hamburgũ, Pto. Treua # 27.0|54.24 Neumunſter # 27.40|55.16 Pleuma, vulg. Plone # 27.55|55.4 Sleſzbigum # 28.10|55.54 ¶ Datiæ vel Daniæ regni Pto. Cimbricæ Cherſoneſi P. G. M. C. VVorcena, worcken # 28.37|57.23 Arrhuſia, natale ſolum Iacobi Ia- ſparis Dani vtriuſque linguę pro- feſſoris # 30.58|56.53 Ripis, vulg. Ryp # 28.34|56.47 Biburgum, Biborg # 31.28|57.26 ¶ Mechelburgij ducatus P. G. M. C. Roſtochium, Pto. Laciburgium Roſtock # 30.14|54.36 ¶ Marchiæ brandenbur- genſis P. G. M. C. VVelſachum, Pto. Suſudata welſnach # 29.45|53.15 Brandenburgum # 30.35|52.36 Haelburgũ, Auelburg # 29.55|53.15 Francophordia ad Oderam # 32.34|52.33 Berlinum, Berlin # 31.36|52.51 ¶ Pomeraniæ duc. P. G. M. C. Stetinum, Stetim # 33.20|54.0 <pb o="Fo.35." file="075" n="75" rhead="GRAPH. PETRI AP."/> Caminum Camin # 35.8|54.12 Sundis, Pto Bunitiũ # 31.14|54.30 Golmona Golmon # 33.54|54.6 Stargardia, ſtargard # 33.50|53.50 Gripſeualdia # 31.56|54.18 ¶ Sequitur Sarmatia, quæ & Scithia dicitur, habens in ſe Hunga- riam, Poloniam, Ruſſiam, Liuo- niam, Pruſſiam, & walachiam. ¶ Pruſſiæ & Maſſagetarum prouinciæ P. G. M. C. Dantiſcũ, Dantzwick # 39.2|54.54 Sambienſis epiſc. # 44.9|55.0 Mons regalis # 41.16|54.17 Marięburgũ pruſſię # 39.53|54.43 ¶ Rubiæ Ruſsiæ ſiue Ru- theniæ P. G. M. C. Lipnitza # 41.3|49.45 Sambocca # 42.45|49.41 Cholemę aut colomia # 46.0|50.27 Leopolis aut leoburgum # 43.15|50.33 ¶ Liuoniæ vltimæ. Germa. & Chriſtianæ prouinciæ P. G. C. Marięburgũ liuonię # 50.56|58.32 Reualia Epiſco. # 50.23|61.56 Riga metrop. # 50.0|59.0 Hapſelia pontif. # 50.52|60.40 Traba eccleſia # 51.5|59.55 ¶ Maſſouiæ ducatus Ciuit. Machopha # 43.25|52.4 V Viſchegrada # 41 17|52.4 Rubeſchopha # 42 45|51.54 ¶ Lituaniæ ducatus Ci. Bilde # 49.58|54 30 Colme # 50.49|54.12 ¶ Sequuntur regna Peninſu- larum in Oceano Septentrionali Scaniæ & Daniæ P. G. M. C. Lundis vel Lunda # 36.30|57.23 Eltzeburgum # 35.46|57.0 Eticum proui. # 35.5|56.58 ¶ Noruegiæ regni Peninſ- vul. Schodenmarck. P. G. M. C. Hammorenſis Epiſc. # 28.29|60.0 Bergeñ Epiſcopalis # 24.16|61.15 Nidroſia Metrop. # 20.56|60.50 ¶ Suetiæ regni P. G. M. C. Vpſalia Epiſcopalis # 39.45|61.5 Stocholma # 42.38|60.30 Lincopia Epiſc. # 34.45|61.0 ¶ Poloniæ regni C. Cracouia, Pto. Carrodunũ, Polo- niæ regia, Cracaw # 37.50|50.12 Potznania Pto. Stragona Poſnaw # 35.18|82.44 Lantzitza, vul. Lonzitz. # 37.0|52.45 Perachauia aut petrichauia # 37.0|51 41 Gniſnania, Pto Limioſaleum Gniſna # 36.14|52.53 ¶ Tauricæ Cherſoneſi nunc Tartariæ portionis Ciu. Capha Pto. Theodoſia # 63.20|47.20 Cherſoneſus # 61.0|47.0 Taphros # 60.40|48.15 Hiſtriani fl. oſtia. # 63.30|47.10 ¶ Huius Cherſoneſi Ciuita- tes iuxta Boſphorum Cym- merium ſunt bæ: Panticapæa # 64.0|47.55 Tyrictata # 63.30|47.40 ¶ Iazygum Metanaſtarum, nunc ſeptem Castrorum aut Sibenburgenſium Ciu. Cleſenburgum Pto. Gor- manum # 46.10|47.36 Zeurina ad Danu. # 46.45|45.5 Furtarca Pto. Peſſiũ. # 44.40|47.0 ¶ Daciæ, Scythiæ Europeæ, nunc walachiæ magnæ, ac Tranſſyl uaniæ Ciuitates. Dico Scythiæ, quia tractus ille qui à Tanai ad Thra- ciam vſque protenditur Scy- thia Europæa dicitur. <pb file="076" n="76" rhead="SECVNDA PARS COSMO."/> Album caſtrum, Pto. noua menia VVeyſenburg # 60.5|48.35 Chilia. Pto. Axiũ, vbi Danubiꝰ mu tat nomen, & ad pontũ vſq; Iſter aut Iſtros appellatur, ibi habitãt Trogloditę populi # 54.20|45.45 ¶ Superioris ſiue altæ Miſiæ nunc Zeruiæ C. Bellogradũ, Pto. Taururum vulg. Krichiſchweyſzenburg, à Turca nuper expugnata, ibi incidit Saus fl. in Danubium # 45.0|44.30 Nouomontana # 45.0|42.30 Syngidunum # 45.30|44.30 ¶ Dardaniæ partis Miſiæ C. Vlpianum # 48.30|42.40 Arichbantium # 47.30|42.0 ¶ Miſiæ baſſæ ſeu inferioris, nunc Bulgariæ ciuitates. Schiltorna. # 48.0|44.36 Hadrianopolis # 52.30|42.45 *Philippopolis q̂ & Trimontiũ, quę & Hadrianopolis, Sextus Ruf fus duas facit vrbes, Philippopo- lim dictam Eumolphidã: Hadria nopolim verò Olympiadã. Ior- nandes Pulendenã primam, Vſtu danam ſecundã vocatam aſſerit. Hadrianopolis erat caput Impe- rij Turcarum in Europa ante ca- ptam Conſtantinopolim. Iſtriopolis Mileſiorũ # 55.40|46 0 Tonij, Tomos Plin. # 55.0|47.50 Calatis priꝰ Acernetis # 54 40|45.40 Dionyſiopolis, olim Crunos, in hac quidem regione Pygmæorũ gens fuiſſe, & à gruibus fatigata proditur # 54.20|45.15 ¶ Hungariæ regni ciuitates. Alba regalis, vulgo Stulweiſenburg # 36.36|46.48 Buda, Pto. Curta. Hungariæ regia nunc parct Turcæ, vulg. Offen # 37.44|47.0 Caſcouia # 40.36|48.20 Varadinũ, wardin # 43.34|48.3 Sabaria, vulgo Stainemanger, ibi natus eſt S. Martinus Epiſcopus Turoneñ # 35.45|47 47 Raeba # 30.34|47.37 ¶ In limitibus Hungariæ & Auſtriæ ciuitates. Poſonium, vulgo Breſburg ad Danubium # 36.5|48.8 Ferrea ciuitas # 35.0|47.55 Leitipontus # 35.27|48.1 Syclaſium ſyclas, vnde oriundus Chriſtophorus Collimitius Sycla ſianus Mathemat. # 34.57|47 51 Soproniũ Oedẽburg # 35.12|47.54 ¶ Stiriæ marchiæ P. G. M. C. Gretza, Gretz # 34.35|46.50 Morepontus, vulgo Bruck an der mur # 34.30|47.10 Petta # 34.20|46.7 ¶ Charintiæ principatus P. G. M. C. Villach, Pto. Vocoriũ # 32.10|46.25 Gurtzia, vulg Gortz # 32 16|46.46 Sanctus Vitus # 32.34|46.38 ¶ Atheſanæ prouinciæ, aut Thirolenſis comitatus, E@ſchlandt P. G. M. C. Brixia, brix # 30.0|46.6 Hallis Eni # 30.15|46.57 Enipõtus Inſpruck # 30.2|46.55 Verona Bern # 31.18|44.49 ¶ Sequuntur Sclauoniæ vel Boſnenſis regiones, quæ ſunt Illiris, Liburnia, modò Carnania, Croacia, & Dalmatia. Illiriæ & Liburniæ C. Sara # 37.50|44.11 Stridona, Pt Sidrona, vu<unsure/>l. Sorigna S. Hieronymi patria # 42.20|43.20 <pb o="Fo.36." file="077" n="77" rhead="GRAPH. PETRI AP."/> Flauona # 37.0|44.45 ¶ Dalmatiæ C. Salonæ Colonia # 43.20|43.10 Raguſia, Pt. Epidaurꝰ # 43.54|42.20 Sibinicum, Pto. Sicum # 43.0|43.20 Scutara, Pto. Scodra # 45.30|41.30 Saloniana # 45.0|43.20 ¶ Hiſtriæ, vulg. Hiſterreich peninſulæ Ciuit. Pola Iulia pietas Plin. # 34.40|44.50 Hiſtria # 35.43|45.55 Noua ciuitas # 35.41|45.35 Aquilegiũ, vul. Algar # 33.15|45.12 Forumiulium colonia, Italis Frigoli, Germanis Frigaul dicitur # 33.52|45.0 Tergeſtum Colonia, vulgo Trieſte # 33.30|44.54</note> </div> <div xml:id="echoid-div98" type="section" level="1" n="92"> <head xml:id="echoid-head100" xml:space="preserve">PARTILIS GRÆCIÆ <lb/>deſcriptio.</head> <note position="right" xml:space="preserve">MACEDONIÆ, aut Emathiæ modò Turciæ regiunculæ tractus. # Tulantiotum Apollonia # 45.6|40.10 Aulon naualis # 44.50|39.56 # Helimiotorum BullisBelliaca Straboni # 45.0|39.45 # Edonidis Neapolis # 51.15|41.40 # Amphaxitidis Arethuſa # 50.10|41.15 # Calcidiæ Panormus portꝰ & Ci. # 50.40|41.0 # In ſinu Singitico Stratonica Hadrianopo- lis poſtea. # 50.55|40.55 # Paraxiorum Ampelus extrema # 51.15|40.30 # Amphaxitidis Theſſalonica, nũc Salonica metro polis Philippẽſium, ad quos ſcri- pſit ſanctꝰ Paulus duas Epiſtolas: priorem ex Athenis, poſteriorem verò ex Laodicia, quę eſt Metropo lis Phrv<unsure/>gię Pacatianę, ibi etiã prę dicauit S. Paulus # 49.50|40.20 # Pelaſgiotorum Iolcos # 51.30|39.15 # Phthiotidis in ſinu Pelaſgico Demetrias # 50.30|38.56 Lariſſa # 51.20|38.50 Thebæ # 51.10|38.30 ¶ In eius mediterraneo C. Taulantiorum. Arniſſa # 45.20|40.40 # Elymiotorum Elyma # 45.40|39.40 # Oreſtidis Amantia # 46.0|39.40 # Albanorum Albanopolis # 46.0|41.0 # Almoporum Europus # 46.30|41.20 Apſalus # 46.20|41.5 # Orbelię Gareſcus # 47.45|41.40 # Eordæorum Scampes, Scopia, hodie Macedo- niæ caput # 45.45|40.20 # Æſtræorum Æſtræum # 46.20|40.50 # Iororum Iorum # 47.45|41.15 # Sintices Parocopolis # 48.40|41.40 Heraclia Sintica # 49.30|41.40 # Odomantices & Edonidis Amphipolis # 50.0|41.30 Philippis, ibi natus eſt Alexander magnus. De hac ciuitate miſit S. Paulus ſecundã epiſtolam ad Ga- lathas # 50.45|41.45 <pb file="078" n="78" rhead="SECVNDA PARS COSMO."/> # Deſſaretiorum Lychnidus # 46.50|40.20 # Lynceſtidis Heraclia # 47.40|40.40 # Pelagonorum Stobi # 48.30|41.30 # Biſaltiæ Oſſa, Olyra # 49.45|41.0 # Mygdoniæ Xylopolis # 49.20|41.0 Apollonia Mygdonię # 49.30|40.30 # Chalcidicę Augæa, olim Melobotera # 50.15|40.40 # Emathiæ Europus # 47.20|40.20 Pella # 49.20|40.5 Ægæa # 48.40|39.40 # Pieriæ Vallæ # 49.40|39.30 # Parthyæorum Eriboea (Croia regia) # 46.40|39.45 # Pelaſgiotorum Atrax # 48.30|39.25 Lariſſa Achillis patria # 50.0|39.10 # Stymphaliæ Gyrtona, Gyrto # 46.50|39.30 # Eſtiotorum Theſſaliæ pars Metropolis # 49.20|39.0 # Phthiotidis Heraclia Phthiotidis # 50.50|38.30 # Theſſalorum Cypæra # 49.0|38.40 ¶ Epiri aut Moloſſæ nunc Rhomaniæ, regiunculæ & ci- uitates. Chaoniæ P. G. C. Caſſiopolis # 45.30|38.25 # Theſprotorum Thyalmispro. # 46.30|38.0 # Acarnanum Ambracia, Larta hodie # 48.0|38.20 # Chaonum Phœnica # 45.20|38.45 # Caſſiopęorum Caſſiopa # 47.0|38.45 # Amphilochorum Aſtacꝰ Stratos Plinio # 47.15|38.15 ¶ Achaiæ regiunculæ & Ci. Anticyrha # 40.30|37.30 Locrorum Ozolorũ, P. G. C. Naupactus, Lepãthũ hodie, ꝑ Tur cas à Venetis ereptũ # 49.30|37.35 # Phocidis Cirrha # 5.0|37.30 # Megaridis Niſęa q̃ etiã Megara dicitur, patria Euclidis Mathematici # 52.0|37.20 # Atticæ Mediterrane<unsure/>æ Athenę, ſtudiũ quondam vniuer- ſale Platonis & Ariſtotelis, nũc eſt ciuitas diruta habens ſolam arcẽ fortiſſ. Sethine dictam # 52.45|37.15 Rhamnus # 53.15|37.30 # Bœotiæ Creuſa # 51.15|37.30 Anthedon # 53.0|38.5 Thebæ Bœotiæ # 52.40|37.55 # Opuntiorum Cynos # 52.0|38.20 ¶ Locrorum Epicnemidorum Scarphia # 51.15|38.25 Parna<unsure/>ſi montis mediũ # 50.20|38.0 *Helicon mons muſis ſacer, vbi fons ex vngula Pegaſi # 51.0|37.45 ¶ Quæ Hellade flu. inclu- duntur regi. & ciuit. hæ. # Ætolię Chalcis # 49.0|38.5 # Doridis Lilæa # 50.5|38.15 Locrorum Ozolorum mediterranea. *Amphiſa # 49.30|37.50 ¶ Locrorum Epicnemidorum mediterranea. *Thronium # 51.15|38.15 ¶ Phocidis mediterraneæ. *Pythia, Pytho dicitur Homero, vbi Apollinis oraculũ # 50.30|37.45 Delphi # 50.0|37.40 ¶ Opuntiorum mediterraneæ. Opus # 52.0|38.10 <pb o="Fo.37." file="079" n="79" rhead="GRAPH. PETRI AP."/> ¶ Tracia quæ modò Græcia dicitur, habet à Sept. Iſtrum flu. ab o<unsure/>riente Pontum, ab occaſu Miſiam ſu periorem, cuius ciuitates ſunt bæ. Abdera # 52.10|41.45 Marona # 52.40|41.40 Ænos # 53.10|41.30 Apollonia # 54.50|44.20 Conſtãtinopolis, Pto. Bizantium Lygos quandoque appellata, *Olim imperium Chriſtianũ, ſed per Turcas expugnata cũ magna Chriſtianorum profligatione cir- ca annum domini. 1453. Tenet´que ibidem hodie modernus Turcarũ Imperator Solymannus ſuam aulam # 56.0|43.5 Rhodope mons # 52.30|43.0 Nicopolis iuxta Æmum # 52.30|43.30 Nicopolis ad Neſum # 51.45|42.20 Aphrodiſia # 53.35|41.40 ¶ Cherſoneſi iuxta Hel- leſpontum. *Calliopolis, q̃ & Gallipolis vrbs dicitur, à qua & Helleſpontus vo- catur Elo far de Gallipuli, quaſi maris anguſtia ad Gallipolim # 55.0|41.30 Elæus # 54.40|44.45 ¶ Peloponneſus olim Danaa. *Moræa hodie Turcarum, Apia prius & Pelaſgia, Iſthmum hodie Eximilium appellãt, porrecto mu ro ad quinque miliaria in vtrunq; fretum, habet Satrapias & Ciuita- @es ſequentes. # Helidis Cyllenæ nauale # 48.30|36.30 Helis # 49.0|36.25 Tympania # 49.30|36.20 # Sicyoniæ Syis fluuij oſtium # 50.40|37.0 # Propriè vocatæ Achaiæ Ægira Hypereſia prius # 50.15|36.55 # Meſeniæ Pylus qui & Abarmus # 48.35|35.30 # Laconicæ Aſopus # 50.50|35.5 Lacedæmon # 50.15|35.30 Lerne # 51.0|35.40 ¶ In argolico ſinuet laconiæ C. Epidaurus # 51.5|35.30 ¶ In Saronico ſinu Argiæ. Epidaurus (Æſculapij) # 51.50|36.25 Bucephalum portus # 51.25|36.45 # Corinthiæ Corinthus, Ephyra poetis nomi- nata nũc Coranto, metropolis A- chaiæ, ad quã miſit S. Paulus duas<unsure/> epiſtolas, priorem è Philippis per Sthephanũ & Fortunatũ & Achai cum & Timotheum: poſteriorem verò à Philippis Maced. per Titũ & Lucam # 51.15|36.55 Schœnus portus # 51.20|37.0 # Sicyoniæ Phlius # 50.50|36.40 # Arcadiæ Stymphalus # 50.20|36.20 # Argiæ Mycenæ # 51.45|36.10 Argos, Hippium cognominatum, quod nobiles aluerit equos # 51.20|36.15 # Meſeniæ Troezen # 59.10|35.25 ITALIÆ REGL on<unsure/>is tractus, nobiliores´q Ci. ¶ Calabriæ P. I. C Regium Iulium metrop. vul. Rezo # 39.50|38.15 ¶ Campaniæ P. I. C Nola # 40.15|40.45 Neapolis, prius Parthenope, ibi ſcripſit Vergilius optimus poe- tarum Georgicorum libros # 39.10|40.0 Salernum, Salerno # 36.10|40.30 <pb file="080" n="80" rhead="SECVNDA PARS COSMO."/> Capua # 40.0|41.0 Cumæ, vnde Sibylla Cu- mana # 39.20|41.30 Sueſſa, locus natiuus Auguſtini Ni phi, Aſtrol. peritiſſimi # 38.40|41.25 ¶ Latij aut Latinorum P. I. C. Rhoma, olim terrarum caput # 36.40|41.40 Tybur # 36.50|42.0 Præneſte # 37.30|41.55 Tuſculum oppidũ, iuxta quod eſt Tuſculanum villa, id eſt, poſſeſſio ruſtica # 36.50|41.45 Treba # 37.30|41.45 *Sulmo patria Ouidij # 40.30|40.0 ¶ Apuliæ, olim Græciæ magnæ, P. I. C. Brunduſiũ (Branditio) # 42.30|39.40 Tarentum (Taranto) # 41.15|39.45 S. Michael in gorga monte # 42.38|40.58 ¶ Frentanorum P. I. C. Buba # 41.40|41.40 ¶ Pelignorum P. I. C. Orton, vulgo Pietra de pirati # 40.45|42.15 ¶ Marucinorum P. I. C. Materni fl. oſtia # 39.20|42.45 ¶ Marchiæ anconitanæ olim Picentium tractus P. I. C. Ancona Empo & portus ma- ris tutus # 36.30|43.42 Rhacanatum # 36.40|43.22 ¶ Tuſciæ, Pto. Vetulo- ni<unsure/>um P. I. C. Viterbiũ olim lõ guſta # 35.43|42.18 Peruſia Auguſta # 35.18|42.56 Volaterræ # 33.30|42.40 Sæna, Sænis # 34.18|42.50 Florétia, prius Fluentia # 33.30|43.4 Piſa, Metrop. # 31.28|42.22 ¶ Ducatus Spoletani, quon- dam Vmbriæ & Sabiniæ P. I. C. Spoletum # 36.30|42.45 Ariminũ, vul. Rimino # 35.0|43.50 Aſſiſium, patria S. Fran- ciſci monachi # 35.52|42.55 Nurſia nunc Nortia. patria S. Benedicti # 36.32|42.44 ¶ Flammineæ aut Rhoman- diolæ, olim Galliæ to- gatæ P. I. C. Bononia, olim Bolonia & Felſina, vulg. Bologna la graſſa # 32.5|43.54 Mutina Rho. colonia # 33.0|43.20 Ferraria # 32.15|44.23 Rhauennæ # 33.0|44.2 Parma # 32.0|43.30 ¶ Marchiæ Tauriſanæ aut Teruiſianæ, olim Venetianæ regionis P. I. C. Venetię Emp. vulgatiſ. # 32.30|44.50 Padua Patauium # 32.50|44.46 Tridentum Trento # 30.30|45.18 Vincentia, Vicenza # 32.10|44.30 Teruiſium # 32.28|45.0 ¶ Longobardiæ, vulg. Lom- bardie, oli<unsure/>m Cenomannorum, Inſubrium, Taurinorum et Ligurum P. I. C. Mantua # 30.40|44.30 Verona, vulg. Pern # 31.16|44.50 Papia, aut Ticinum, vul. Pauia, ibi Rex Chriſtianiſſimus poſt ſtren- nuum conflictum, à Cæſarianis ca ptus eſt, Anno. 1525. in feſto Mat- thiæ Apoſtoli # 28.22|44.50 Mediolanum, Mylan # 28.20|45.6 Genua # 28.20|43.50 Taurinum, Pto. Auguſta Taurica # 30.30|43 40 Sauona # 27.50|43.30 ¶ Europæ enarrationis f<unsure/>inis.</note> <pb o="Fo.38" file="081" n="81" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div99" type="section" level="1" n="93"> <head xml:id="echoid-head101" xml:space="preserve">AFRICÆ PARTICVLARIS <lb/>deſcriptio.</head> <head xml:id="echoid-head102" style="it" xml:space="preserve">TINGIT ANÆ M AV-<lb/>ritaniæ aut Barbaricæ <lb/>P. Af. C.</head> <note position="right" xml:space="preserve"> <lb/>Tingis Cæſarea, vul. Tanger, nũc <lb/>Luſitanorum # 6.30|35.30 <lb/>Abilis columna Herculis mos eſt <lb/>cõtra Calpen Hiſpanię montẽ, ad <lb/>ſtrictũ de Gibaltar, Abila noſtris <lb/>dicitur cognomine Simica@ ob ſi-<lb/>miarũ multitudinẽ # 7.50|35.40 <lb/>Heptadelphimon. # 7.30|35.50 <lb/>Baba # 8.10|34.20 <lb/>Banaſa, lege Aug@ de Ci. <lb/>lib. xxij. # 6.30|34.20 <lb/>Exiliſſa aliàs Septa # 7.30|35.55 <lb/>Sala # 6.55|34. 0 <lb/>Solis mons # 6.45|31.15 <lb/>Benta # 9.30|33.40 <lb/>Dorath # 10.10|31.15 <lb/>Tamuſida # 7.15|34.15 <lb/>¶ Cæſarienſis & Sitiphen-<lb/>ſis Mauritaniæ ſitus <lb/>& oppida <lb/>Apollinis prom. # 15.30|33.40 <lb/>Iulia Cæſarea # 17. 0|33 20 <lb/>Aquæ calidæ colo. # 18. 0|33.10 <lb/>Tucca # 20. 0|31.30 <lb/>Ippa # 24.50|31.20 <lb/>Sigæpolis colo. vulgo la <lb/>Guardia # 12. 0|34.40 <lb/>Ciſſa, vulg. Cerlel. # 19.45|32.50 <lb/>Thudaca # 20.50|32.10 <lb/>Sitici colonia # 26. 0|29.25 <lb/>¶ Africæ minoris <lb/>Tractus &c. <lb/>Colops magnus # 27.40|32 20 <lb/>Colops paruus # 29.20|32.35 <lb/>Aphrodiſium col. # 30.20|33.30 <lb/>Hippon regia ci. # 30.30|32 15 <lb/>Apollinis ſacrum # 31.40|32.20 <lb/>Vtica, Catonis morte nobilis. <lb/>vulg. Benſert # 32. 0|32.45 <lb/>Neptuni aræ # 32.20|32.45 <lb/>Cartago oli@ Pirſa # 34 40|32.40 <lb/>*Thunetũ ſiue Thuniſſa, vul. Thu <lb/>nys, ciuitas regia, quę vnà cũ Go-<lb/>leta propugnaculo (vt credeba-<lb/>tur inexpugnabili) e manibus <lb/>Barbaroſſæ per Inuictiſs. Carolũ <lb/>V. Cæſarẽ, Anno. 1535. Menſe Iu-<lb/>lio, vi direpta eſt, & ſumma Cæ-<lb/>ſaris (qua præditus eſt benignita <lb/>te, proprio regi reſtituta, reſerua-<lb/>ta ſibi ſola Goleta. # 33. 0|32.30 <lb/>Clypea Plin. Clupea in promõt. <lb/>Mercurij, Pto. Hermæa dicitur <lb/># 35. 0|33.20 <lb/>Neapolis colo. # 35.45|33. 0 <lb/>Aphrodiſium # 36.15|32.40 <lb/>Adrumentum colo. # 36.40|32 40 <lb/>Leptis parua, Leptis media q̃ & <lb/>Neapolis dicitur # 42. 0|31 40 <lb/>Sabatra # 41. 0|31.20 <lb/>Phileni villa & aræ # 46.45|29. 0 <lb/>Siſara palus # 33. 0|31. 0 <lb/>Tritote palus # 38 40|29.40 <lb/>Pallas palus # 38.30|29 15 <lb/>Lybia palus # 38.30|28.15 <lb/>Lares # 27.30|30.40 <lb/>Vzanum # 33.15|32.20 <lb/>Dabia # 33. 0|29.40 <lb/>¶ Numidiæ nouæ Ciuitates. <lb/>Medium eius # 29. 0|31. 0 <lb/>Cucula colo. # 28 30|31.15 <lb/>Tucca # 29.30 31.20 <lb/>Bizancina # 37.50|30 45 <lb/>Capſa # 37.30|29 45 <lb/>Calatha # 31. 0|53.40 <lb/>¶ Inter Syrtes Ciuitates. <lb/>Paruæ Syrtis mediũ # 39.0|31. 0 <lb/>Magne@ Syrtis mediũ # 45. 0|30. 0 <lb/>Sabrata # 41.15|30.50 <pb file="082" n="82" rhead="SECVNDA PARS COSMO."/> Ammonis # 42. 0|30.40 <lb/>Butta # 42.40|28 30 <lb/>¶ Cyrenaicæ aut Pentapolis <lb/>prouinciæ Africæ Ciuitates <lb/>Pentapolis Ciuitates. <lb/>Cyrenæ, principalis # 50. 0|31.20 <lb/>Beronicæ aut Heſperides, <lb/># 47.30|31.20 <lb/>Arſinoęvel Teuchria # 48.20|31.40 <lb/>Ptolemais # 49. 5|31.10 <lb/>Apollonia # 50.10|31.40 <lb/>Herculis turris # 47.20|30.30 <lb/>Neapolis # 49. 0|31.20 <lb/>Hydra # 50.50|30.30 <lb/>Cenopolis # 50.45|30.40 <lb/>Philonis villa # 51. 0|28.40 <lb/>Celida # 50.30|30.40 <lb/>¶ Libyæ interioris Ciuitat. <lb/>Salathos # 9. 40|33. 0 <lb/>Bagaza # 11. 0|19. 0 <lb/>Babiba # 10.30|13. 0 <lb/>*Garama metropolis, illic eſt <lb/>fons interdiu frigidus, noctu ve-<lb/>rò calidus # 43. 0|21.30 <lb/>Garamantica vallis # 50. 0|10. 0 <lb/>Nigris palus # 15. 0|18. 0 <lb/>Magura aliàs Gira # 12.30|15. 0 <lb/>Cupha # 23.40|18. 0 <lb/>Nigira metropo. # 25.20|17.40 <lb/>Silica # 26. 0|24.30 <lb/>Thabudis # 34. 0|22. 0 <lb/>Artagira # 44. 0|18. 0 <lb/>¶ Marmaricæ, Libyæ, & to-<lb/>tius Ægypti Ciuitates. <lb/>Cherſoneſus magna # 52. 0|31.40 <lb/>Cherſoneſus parua, por-<lb/>tus # 60. 0|31. 5 <lb/>Alexãdria metropolis totius Æ-<lb/>gypti, ibi Catharina Coſti regis fi <lb/>lia martyriſata eſt. Et Ptolomæi <lb/>Ægyptij Mathematicorum Mo-<lb/>narchæ patria # 60.30|31. 0 <lb/>Alchayrum, vel Chayrus, & Ba-<lb/>bulis dicta, etiã Babilonia noua. <lb/>& Memphis, Babuli cõtigua, pro <lb/>vna Ciuitate habentur. Ibidem´q; <lb/>ſolet Soldanus aulam ſuã tenere, <lb/>ſed modò paret Turcę # 61.50|29.50 <lb/>¶ Oſtia Nili <lb/>Primũ Heracleoticũ # 60.50|31. 5 <lb/>Secundum Bolbiticũ # 61.45|31. 5 <lb/>Tertiũ Sbenniticum # 61.30|31. 5 <lb/>Quartum Tineptimi # 61.45|31. 5 <lb/>Quintum Diolcus # 62.10|31.10 <lb/>Sextũ Pathmiticum # 62.30|31.10 <lb/>Septimũ Mendeſiũ # 62.45|31.10 <lb/>Octauũ Taniticum # 63.20|31.15 <lb/>Nonum Peluſiacum # 63.45|31.10 <lb/>Arſinoe # 63.20|29.10 <lb/>Myſormus # 64.30|27.30 <lb/>Berenicæ # 64. 5|23.50 <lb/>Scyatis # 60.40|30.20 <lb/>Andropolis aut andron viro-<lb/>rum Ciuitas # 61.20|30.20 <lb/>Thebe aut Heliopolis Ciuitas ma <lb/>gna centum habens portas <lb/># 62.30|29.30 <lb/>Biſuris # 62.30|30.15 <lb/>Mercurij Ciuit. magna, aliàs, Her <lb/>mis, Hic arbor perſidis dicta, Ma-<lb/>rię fugienti cũ puero in Ægyptũ <lb/>inclinata eſt # 61.40|28.55 <lb/>Hermis parua # 61. 0|30.50 <lb/>Tanis metro. Ægyp. # 62.45|30.50 <lb/>*In hac Ciuitate primã captiuita <lb/>tem Iſraelitæ perpeſſi ſunt, nunc <lb/>eſt diruta vt Brocardus ſcribit. <lb/>Phacuſa met. Arab. # 63.10|30.50 <lb/>Herculis Ciu. magna # 61.50|29.10 <lb/>Antinoe # 62. 5|28.10 <lb/>Lycon # 61.45|28. 0 <lb/>Dios, id eſt, Iouis Ciu # 61.50|26.40 <lb/>Syene # 62. 0|23.50 <lb/>Philæ # 61.40|23.30 <lb/>Apollinis Ciu. parua # 62 30|25.50 <lb/>Palus Cleartis # 52. 0|26.20 <lb/>Palus Lacci # 55.30|26.40 <lb/>Palus Lycomedis # 57. 0|24. 0 </note> <pb o="Fo.39" file="083" n="83" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div100" type="section" level="1" n="94"> <head xml:id="echoid-head103" xml:space="preserve">ASIÆ REGIONIS <lb/>partes & oppida.</head> <note position="right" xml:space="preserve"> Fons Solis # 58.15|28. 0 <lb/>Palus Maria # 64. 0|30.50 <lb/>Palus Sirbonis # 64.15|31. 0 <lb/>Palus mœridis # 63. 0|29.20 <lb/>*Augila ciuitas # 52.30|28. 0 <lb/>Augilæ populi, quorum fœminæ <lb/>nocte qua nubũt omnium coitu <lb/>proſtituũtur, exinde pudicitiam <lb/>maximè ſeruantes: autor Hero-<lb/>dotus, Mela, & Solinus. <lb/>¶ Æthiopiæ ſub Ægypto <lb/>populi & Ciuitates. <lb/>Iſta regio habet gentes plurimas <lb/>& monſtroſas, vt Blemmies, Nu-<lb/>bas, Cynocephalos, Satyros, Tro-<lb/>gloditas, Azaniã regionem, quæ <lb/>nutrit elephantes, Smyrnoferam <lb/>regionem, Strutophagos æthio-<lb/>pes, & multas alias regiones. <lb/>Ciuitates ſunt hæ, <lb/>Sabat # 68. 0|12.30 <lb/>Diræ # 74.30|11. 0 <lb/>Apocopa # 79. 0|2.30 <lb/>Rapta Metr. Auſt. # 71. 0|7. 0 <lb/>Coloe<unsure/> Ciuitas # 62. 0|4.15 <lb/>Pylæi montes # 65. 0|0. 0 <lb/>Meroë regio Inſula & Ciuitas <lb/># 61.30|16.25 <lb/>*Meroë regio Elſaba hodie dici-<lb/>tur, in qua diuũ Matthęum Euan <lb/>geliũ prędicaſſe ferunt. Hæc @oſe <lb/>pho teſte, eſt illa Saba vnde ad Sa <lb/>lomonẽ profecta eſt regina Hinc <lb/>etiam Candaces reginę eunuchus <lb/>à Philippo baptizatur, Act. 8. <lb/>Theon Soterum, hoc eſt, deorũ ſa <lb/>lutarium portus # 65.20|17.30 <lb/>Berithis # 62. 0|21. 0 <lb/>Cambyſi ærarium # 59. 0|18. 0 <lb/>Moſylon promon. # 79.30|9. 0 <lb/>Euangeliorum, id eſt, bonorum <lb/>nunciorum portus # 65.45|17. 0 <lb/>Sandaca # 63. 0|18.30 <lb/>Aromata pro & Emp. # 83. 0|6. 0 <lb/>¶ Æthiopiæ interio-<lb/>ris Ciuitates. <lb/>Phazagar, Auſt. # 70.10|18.58 <lb/>Hiere, Auft. # 68. 0|11.15 <lb/>Marchoſa # 48.26|18.40 <lb/>Zara # 61.10|16.20 <lb/>Gazat regio # 52. 0|24. 0 <lb/>¶ Finis Aphricæ <lb/> MINORIS ASIÆ nunc Turcorum tractus & Ci. ¶ Ponti aut Bithiniæ olim Bericæ, nunc Mygdoniæ, hoc eſt, maioris Phrygiæ Ciu. Promontoriũ Dianę # 56.25|43.20 Chalcedon, ibi concilium Chalce donenſe celebratũ eſt # 56.5|43. 5 Olbia # 57. 0|42.40 Nicomedia # 57.30|42.30 Heraclæa ponti # 59. 0|43.30 Claudiopolis quę & Bithynium, Hic ſcripſit Lucas Euãgeliſt Euã gelion & Acta Apoſt. # 59.30|42.45 Nicæa, ibi concilium Nycenum celebratum eſt. # 57. 0|41.40 Cæſarea quæ & ſmyrdiana # 56.40|41.40 Olimpus mons # 57. 0|41.50 ¶ Aſiæ propriæ dictæ C. Lampſacus # 55.20|41.25 Simeontis fl. oſtia. # 55.20|41. 0 Ilium olim Troia, modò diruta # 55.50|41. 0 Dardanũ, nũc dardanellũ # 55.15|41.5 Alexandria Troas # 55.25|40.40 Antandrus # 56.30|40.20 <pb file="084" n="84" rhead="SECVNDA PARS COSMO."/> Smyrna, patria Homeri à quibuſ dam dicitur # 58.25|38 25 Aſſum # 56 0|40.15 Epheſus, Metropolis loniæ, ab Amaſonibus condita, teſte Plin. Hic ſcripſit Ioannes ſuum Euan- gelium # 67.40|37.40 ¶ Cariæ ciuitates iuxta mare Mirtoum. Heraclæa penes Latmõ # 57.0|37.10 Miletus nũc Melaſa # 58. 0|37. 0 ¶ Doridis ciuit. Alicarnaſſus # 57.50|36.10 Cadmos mons # 59.40|37.40 Phœnix mons # 58. 0|36.30 Apollonia, iuxta Rhydacum # 57. 0|41.15 Pergamus # 57.25|39.45 ¶ Lydiæ Meoniæ. Philadelphia # 59. 0|38.50 Iouis phanum # 59 40|38.25 Sardis # 58.20|28.15 ¶ Cariæ. Nyſa # 59. 0|38.15 Antiochia penes Meandrum. # 59 30|38 20 Apollonia iuxta Labanum # 59 25|37.35 Heraclæa penes Albanon # 59 30|37.50 Neapolis # 59.25|37.35 Fontes Lyci fluuij # 60. 0|37. 5 Trallis quæ & Emãthia, Seleutia, & Anthiochia dicitur, Plin@ teſte. Quidam ibi Pygmæos habitaſſe tradunt # 58.40|38. 5 ¶ Lydiæ Phrygiæ. Sala # 60.15|38.20 Sanis # 61. 0|38.20 Apamia Cibotis # 61.10|38.55 Hierapolis # 60. 0|38.15 ¶ Lyciæ aut Lycaoniæ Ci. vnde populi Lycaones. Carya # 59.50|35.55 Patara, patria ſancti Nicolai Epiſcopi # 60.30|36 0 Olympus ciuitas # 61.30|36.15 Xantus # 60.15|36.10 Mirrha # 61. 0|36.40 ¶ Galatiæ aut gallogræciæ C. Sinopa aliàs Stala # 63.50|44. 0 Pompeiopolis à Pompeio condita # 62.30|42.15 Claudiopolis, olim Andrapa # 63.15|42.20 Ancyra metro. # 62 40|42. 0 Laodicæa # 64.40|39.40 Antiochia Pyſidiæ # 62.30|39. 0 Neapolis # 62.40|38.15 ¶ Pamphiliæ C. Olbia # 62. 0|36.55 Magydis # 62.40|36.55 Seleucia pyſidiæ # 62. 0|38.30 Antiochia # 62.30|39. 0 ¶ Capadociæ C. Trapezus, aut Trapezonda Turca rum metropolis Genech dicta # 70.30|43. 5 Chorduba # 71 20|43.25 Sebaſtopolis, vulg. S. Gregoire # 72.20|44.45 Sebaſtopolis altera, vulg. Cabira # 66. 0|41.20 Sebaſtia # 68. 0|40.40 Zama # 65.0|40.45 Archelais # 64.45|39.40 Diocæſarea # 65.30|39.20 Cæſarea quæ & Maza, ibi Baſilius magnus fuit antiſtes # 66.30|39.30 Derba # 64.20|38.15 ¶ Armeniæ minoris aut terræ Ararath C. Nicopolis # 69. 0|41.40 Iſpa # 70.30|40.20 Camana, Capadocũ # 68. 0|38. 0 Claudia # 71. 0|38.45 ¶ Ciliciæ C. Antiochia ſup trago. # 64.40|36.50 <pb o="Fo.40" file="085" n="85" rhead="GRAPH. PETRI AP."/> Zephyrium promont. # 66.20|36.40 Põpeiopolis, q̃ & Sole # 67.15|36.40 Ægææ # 69.0|36.30 Seleucia # 66.10|36.45 Tarſos patria S. Pauli # 67.40|36.50 Cæſarea penes Amazarbum # 68.30|37. 0 Nicopolis # 69.30|37.15 Eiphania # 69.30|36. 0 ¶ Sarmatiæ Aſiaticæ aut Sau romatæ, nunc Tartariæ tractu@ & C. Mapeta # 69.0|48.30 Sarmati@æ portæ # 77.0|47. 0 Sarmaticæ portæ, quæ Pylæ dicuntur # 81.0|48.30 Albanitæ Pylæ # 80.9|47. 0 Hexapolis modo Ciros # 72.0|55.20 Tanais modo Coppe # 67.0|54.30 Amazones # 81.0|53. 0 ¶ Rußiæ albæ. Nogardia # 63.30|61.0 ¶ Colchidis ciuit Neapolis, Negapotimo # 71.30|45.40 Geapolis # 72.0|45.30 Phaſis # 72.30|45. 0 Madia # 74.15|46.15 ¶ Iberiæ magnæ Tarta- riæ partis C. Sura # 75. 0|45.20 Zaliſſa # 76.0|44.40 Varica # 75.20|46. 0 ¶ Albaniæ partis magnæ Tartariæ C. *Albani ſub Perſis, Macedonib. & Romanis viciſſim fuerunt. Nunc ſub magno Cham Tartarorũ. Ho- rum canesomnium animalium fe ritatem ſuperant. Gelda # 83. 0|46.30 Albana # 81.40|45.50 Bacehia # 77.0|46.30 Baruca # 79.20|44.40 ¶ Armeniæ maioris ſitus et C. Lala # 76.10|44. 0 Brizaca # 74.50|42.30 Phandalia # 74.50|41.30 Babila # 73.15|40.45 Anarium # 76.50|41.30 Belcania # 73.50|39.40 Tigris fl. fontes # 74.40|39.40 ¶ Syriæ regiones & ciuit. Syriæ ſitus & P. S. C. Alexãdria penes Iſſũ fl. # 69.30|36.10 Seleucia pieriæ # 68.35|35.40 Heraclæa # 68.30|35.10 Laodicea, v. Ramatha # 68.30|35. 5 Poſidium, modo S. Symonis por- tus, vulg. Pnalo # 68.30|35.15 Myriãdrus nũc Alapſo # 69.30|35.50 ¶ Phœniciæ P. S. C. Tripolis # 67.30|34.20 Botrys # 67.30|34. 5 Biblus # 67.40|33.55 Cæſarea Paniæ, olim Cæſarea Philippi # 67.40|33. 0 Sidon, vulg. Sidoni # 67. 0|33.30 Tyrus # 67. 0|33.20 *Sor Hebræis dicta, Sur vulg. ciui- tas poſt Alexandri ruinam Chri- ſtiana & à Turcis deleta, vt ſolum ſuperſit arx in portu, quæ vocatur el porto de Sur, & de his duabus ci uitatibꝰ Sydone & Tyro loquitur Chriſtus in Euangelio. Ptolemais, @odo Accõ. # 66.50|33.0 *Berytus, Fœlix Iulia Plin. hodie noſtris mercatoribus Barut, Bar- baris etiam Beyrut, emporium ce lebre, ſicut olim Tyrus & Sidon, & eſt portus Damaſei Mediterran@ę vrbis # 67.0|33.20 Botrys & Botrus # 67.50|34. 5 *Dora, Dorum Plinio, Dor He- bræis, Machabeorum ſæculo ita potens, vt ab Anthiocho centũ & viginti millibus peditum, & octo millibus equitum fuerit obſeſſa # 66.30|32.40 <pb file="086" n="86" rhead="SECVNDA PARS COSMO."/> Antiochia penes Taurum mon- tem, patria Lucæ Euangeliſtæ # 70.15|37.20 Laonia # 70.30|36.20 ¶ Cyrreticæ P. S. C. Buba # 71.20|36.40 Hierapolis, v. Mergog # 71.15|36.15 Heraclæa # 71. 0|36.30 ¶ Seleucidis P. S. C. Gindarus # 70.0|35.40 ¶ Caßiotidis. Antiochia, quæ ſuper Oron- te eſt flu. # 69. 0|35.30 Epidaphne cognominata & Theo polis Emath reblata Hebræis, vbi ex Petri doctrina primi Chriſtia- ni nominati ſunt, nunc Alep. Epiphania # 69.35|34.25 ¶ Curuæ Syriæ. Abila aut Lyſanium # 68.45|33.20 Damaſcus, hic interfecit Chain Abel fratrem ſuum # 69. 0|33. 0 Adra # 68.40|32.10 Hippus, vul. Sephet # 68. 0|32.30 Capitolia, vul. Suueta # 69.45|32.30 Philadelphia # 68. 0|31.20 ¶ Laodicinæ P. S. C. Paradiſſus # 69.45|33.35 ¶ Betaniæ prouinciæ P. S. C. Elera # 70. 0|32.40 Adrama # 69.10|31.30 ¶ Iudææ aut Paleſtinæ Syriæ C. Cæſarea Stratonis # 66.15|32.30 Apollonia # 96. 0|32.15 Iopa, modo Ioppen, vel Iaffa di- cta, portus maris, condita eſt ante diluuium # 65.40|32.5 Aſcalon, vel hibelis, vulg. Eſcalona # 65. 0|31.40 *Mare mortuum, mare ſalis, Sodo morum lacus # 66.50|31.10 ¶ Galilææ tractus P. S. C. Iulias, aut Bethſaida, patria ſancto rum Petri & Andreæ # 67. 5|31.15 Tiberiadis lacus # 67.15|32.5 ¶ Samariæ P. S. C. Neapolis, nunc Sichen, ibi Chri- ſtus Samaritanam conuertit # 66.50|31.50 ¶ Iudææ propriæ C. Gaza # 65.25|31.15 Sebaſta nunc Samaria # 65.40|31.30 Lydda modò Rama # 66. 0|32. 0 Ericus modò Iericho # 66.15|31.25 Archelais # 66.30|31.30 Nicopolis olim Emaus, vbi cogni tus Chriſtus in fractione panis # 65.45|31.50 Hieroſolyma, quę nune Capitolia dicitur: & plura alia nomina ha- bet in ſacra ſcriptura, vt Solima, Luſa, Bethel, Hieroſ<unsure/>olyma, Iebus, Helya, Vrbs ſacra Hiernſalem dici tur atq; Salem, id eſt, Hieruſalem, ibi Chriſtus Ieſus ſeruator noſter crucifixus eſt. # 66.0|31.40 ¶ Idumææ C. Berzamma # 64.50|31.15 Maps, vel Maſſa # 65.40|30.50 ¶ Meſopotamiæ C. Porſica # 72.0|37.30 Seleucia, v. Moſel # 79.0|35.40 Edeſſe vel Ediſſa modo Raſe # 72.30|37.30 Zama # 75.20|36.30 *Carrę Hebræis Charan, vbi Abra ham habitauit, vbi & M. Craſſus cum Romano exercitu cæſus eſt # 73.15|36.10 ¶ Babyloniæ C. <pb o="41" file="087" n="87" rhead="GRAPH. PETRI AP."/> Babilõ, vel Baldach metrop. Chal dæorum, ibi varia linguarum idio mata exorta ſunt inter ædificãtes turrim Babel, ibi locus iam deſer- tus eſt # 79. 0|35. 0 Bibla # 79. 0|34. 0 Cæſa # 76.40|32.50 Thelma # 77.40|32. 0 *Orchoe aut vrchoa, ipſa eſt hur Chaldæorum Abrahæ patria # 78.30|32.40 ¶ Tripartitæ Arabiæ ſitus Arabiæ deſertæ C. Medium eius # 74.30|32. 0 Erupa ciuitas # 72.30|30.15 Sora # 75. 0|30.20 Choca # 72.30|32.40 Salma # 78.20|29.20 ¶ Arabiæ petreæ C. Lyſa # 65.50|30.15 Petra metrop. # 66.45|30.20 Lydia # 69. 0|30.40 Mare Erythreum ſiue rubrum per quod Moſes cum Iſrahelitis ſicco pede tranſiuit # 63.30|29.50 Adra # 69.40|31.40 Mons Sinay propegr. # 64. 0|30. 0 Ibi accepit Moſes Decalogũ, alio nomine Oreb vel Choreb dicitur. In eodem etiam loco corpus bea- tæ Catarinæ virginis ſepultũ eſt per angelos ¶ Arabiæ fœlicis C. Thebæ # 69.41|21. 0 Muza Empo. # 74.30|14. 0 Sanina # 75.30|11.30 Arabia, vulg. Aden, ciuitas fortiſ- ſima & Emporium præclarum # 80. 0|11.30 Moſcha portus # 88.30|14. 0 Cabana # 85. 0|23. 0 Iſtriona # 80. 0|25.40 Badeoregia # 70. 0|20.15 Mecha, ibi Mahumetis ſepulchrũ à Turcis ſumma deuotione viſita tur, peregrin is´q; ibidẽ nihil aliud oſtẽditur, quàm deauratus calceus Mahumetis in teſtudine tẽpli pẽ- dens, teſte Bartholomeo George- uitz Hungaro # 71.45|22. 0 *Methath, vbi Mahumetus Alcho ranum, lege n Turcarum & Sara- cenorum, anno. 624. conſcripſit # 84.20|13. 0 Saba regia, ſedes quondam Gaſpa ris Magi, qui de auro Arabico do- na farebat puero Ieſu # 76.0|13.0 ¶ Aſſyriæ C. Ninus, nũc Niniue, ciuitas magna ad quam Ionas Propheta Miſſus erat, nunc deſolata # 78.0|36.40 Cteſiphon # 80.0|35. 0 *Arbela aut Gagabela, ibi Alexan der Darium vicit # 80.0|37.15 Apollonia # 81.6|36.30 Sura # 83.0|36.40 Lycus flu. & fontes eiuſdem # 78.0|39.0 *Lyci fluminis cum Tigride mixtio # 79.0|36.30 ¶ Mediæ C. Aræ ſabeæ, iuxta aras ſunt Caſpij & Caduſij populi Medorum # 82.30|42.30 *Caſpiæ portæ # 94.0|37. 0 Illic ruptura eſt montis longitu- dinis octo miliarum itinere manu facto anguſtiſſimo, per quã Baby- lonijs & Perſis eſt tranſitus ad ma re Caſpium, Plinius & Solinus. Zalaca # 86.15|41. 0 Mandagara # 87.45|39.30 Acbatana, in libro Iudith Ecba- tanis, ab Arfaxat condita # 88.0|37.45 Veneca # 93.20|38.15 <pb file="088" n="88" rhead="SECVNDA PARS COSMO."/> Guriauna # 91. 0|37.20 Trauaxa # 92. 0|37.40 Heraclea nũc Achais # 89. 0|36.40 Aradripha # 93.20|34.45 Rapſa # 90.10|35.40 ¶ Suſianæ Ciuitates. Tigris fl. oſtiũ Oriẽ. # 80.30|31. 0 Tigris oſtium Occi. # 79. 0|30.45 Aræ Herculis # 80. 0|34.25 Aſia Ciuitas # 80.10|31.40 Suſa, modo Baldach, in qua agit pontifex magnus Saracenorũ, Ca liphum vocant, teſte M. Paulo ve- neto # 84.0|34.15 Tariana # 84.0|32.30 ¶ Perſidis Ciuitates. Axima # 87.45|33.50 Perſepolis Metropolis, ab Alexan dro direpta. Curtius Arrianus & Diodorus # 91. 0|33.20 Niſerga # 90.15|34. 0 Tragonica # 87.40|32.40 ¶ Carmaniæ Ciuitates. Agris # 96.30|23. 0 Garmana Metrop. # 100.0|29. 0 Thaſpis # 98. 0|27.40 Alexandria # 99. 0|24.20 Armuſa # 94.30|23.20 ¶ Parthiæ Ciuitates. *Hecatompylon regia centum ha bens portas # 96. 0|37.50 Rhoara # 98.30|38.20 Ambrodax # 94.30|38.20 Rhagęa modòRhages # 98.20|34.20 Appha # 98. 0|35.20 ¶ Hircaniæ Ciuitates. Adrapſa # 38.30|41.30 Hyrcania Metro. # 98.30|40. 0 Saca # 94.15|39.30 ¶ Margianæ populi & Ciuit. Sena # 102.30|42.20 Iaſonium # 103.30|41.30 Antiochia margiana, Plinio Ale- xandria dicta, deinde Seleucia # 106.0|40.40 Nigæa # 105.0|41.10 *Margiana amenitatis eſt adeo in clytæ, vt in ea vitem inueniri aſſe- rat Strabo, cuius ſtipitem duorum hominum vix vlnæ complectan- tur, racemum verò<unsure/> duorum cubi- torum orbem implere, quod Ale- xander miratus ibi primùm Ale- xandriam condidit. ¶ Bactrianæ populi & Ciuit. Chomara, ibidem Chomari populi, # 106.30|42.40 Menapia # 113. 0|51.20 Bactria regia, olim Zariaſtes # 116.0|41.0 *Mille olim in Bactriana regione vrbes, rerum omnium (vt in quit Strabo) fertilis, oleo duntaxat ex- cepto, fortiſſimos emittit Came- los, Solinus. ¶ Sogdianæ populi & Ciuit. Drepſa Metrop. # 130.0|45. 0 Alexandria oxiana # 113.0|44.40 Alexandria vltima # 112.0|41. 0 Candari populi # 120.0|48. 0 ¶ Sacæ regionis populi. Sacæ regionis gentes ſunt Come- dæ, Bylthæ, Maſſagetæ: Ciuitates non habent, ſed in ſpeluncis & ne moribus habitare traduntur. me- dium eius habet # 132.0|44.0 Maſſagetæ circa # 130.0|43.0 Comari populi # 150.0|45.0 ¶ Scythiæ intra Imaũ mon- tem, modò Tartariæ Ciuit. Aſpabota # 102.0|44. 0 Dauaba # 104.0|45.0 ¶ Scythiæ extra Imaum montem. *Regnũ Chatay, magni Chã Tar- tarorum has Scythias comprehen <pb o="42" file="089" n="89" rhead="GRAPH. PETRI AP."/> dit, cui@ ciuitas Gãbaleſchia à Ni colao veneto duo de triginta mi- lia paſſuũ circuitus habere fertur Iſſedon Scythica # 150. 0|48.30 Soeta # 145. 0|35.20 Antropop@agi Scythæ # 160.0|60. 0 Hippophagi Scythę # 145.0|55.40 Item in Scythia iuxta Rhiphæos montes ſunt Arimaſpi, qui laxa- matorũ gens appellatur, vnũ tan tum oculum habentes in fronte, quibus aſſiduè bellũ eſt cum Gri phis circa metallũ, teſte Plin. Idẽ autoritate Herodoti & Ariſteę ſcri bit, quòd in quadam cõualle ma- gna Imai montis regio eſt, quę vo catur Abarimõ, in qua ſylueſtres viuũt homines auerſis poſt crura plantis, eximię velocitatis paſſim cum feris vagantes: non longe ab eis Trogloditę ſunt@ Rurſus ab his verſus occidentem quoſdam ſine ceruice oculos in humeris haben tes idem prodit. ¶ Sericæ regionis C. Iſſedon Serica # 162. 0|45. 0 *Eſſedonum vrbem inter gentes maximam tradit Pius 2. Sera Metrop. # 177 15|38.35 Dama # 156. 0|51.40 *In hac prouincia naſcuntur ver mes, qui ſericum filum cõficiunt quorũ iã apud Hiſpanos eſt copia ¶ Ariæ & Arianæ Ciuitates. Medium eius # 106. 0|35.30 Namaris # 105.40|36.10 Articaudna, Plin. Artacana # 109.20|36.10 Alexandria Ariæ ab Alexãdro cõ dita eſt, quã præterfluit Arius fl. Idem in Arium lacũ emoritur, & iſte tractus dicitur Ariana regio teſte Plinio. # 110. 0|36. 0 ¶ Paropaniſadis Ciuit. *Regio paropaniſidis omniũ re- rũ oleo dũtaxat excepto fertilis. Artoarta # 116.30|37.30 Parſia # 113.30|35. 0 Locharna # 118. 0|34. 0 ¶ Drangianæ Ciuitates. Aſta # 107.30|30.40 Bigis # 111. 0|29.20 Ariaſpa # 108.20|28.20 ¶ Arachoſiæ Ciuitates. Alexandria # 114. 0|31.30 Sigara # 113.15|30.0 Maliana # 118. 0|29.20 ¶ Gedroſiæ Ciuitates Chri- ſtianæ teste Sabellico. Cuni Metrop. # 110. 0|23.40 Parſis Metrop. # 106.30|23.30 Arbis # 105.20|20.30 ¶ Indiæ intra Gangen fl. C. Bardaxima # 113 40|20.40 Monogloſſum Emp. # 114.10|18.20 Mandagara # 113. 0|14.30 Nitria Empo. # 115.10|14 20 *Colchi Emporium, nunc Col- chinum ſiue Chuchina, regia Ci- uitas, cuius Rex Luſitanorum eſt amicus # 123. 0|15. 0 Salur Empo. # 125.20|15.30 Indi fl. fons # 125. 0|37. 0 Gangis fl. font. # 136. 0|37. 0 *Ganges fluuius, altitudine nuſ quam minore paſſibus. 20. Latitu dine. 8. aut. 10. milium paſſuũ vbi minima eſt, vbi autẽ maximè pa- tet, ſtadiorũ centum amplitudi- nem habet, teſtes Curtius, Strabo Plinius, Pompo. Mela, &c. Circa fontes vero Gangis ſunt Aſtomi populi ſine ore, halitu tantum vi uentes & odore quẽ naribus tra- hunt. Supra hos in extrema parte montium vſque ad Parſi@ gentem <pb file="090" n="90" rhead="SECVNDA PARS COSMO."/> Spithamęi Pigmęi narrãtur, quos prodit Homer. infeſtari à gruib. Bizantium # 113.40|14.40 *Tyndis # 116. 0|14.30 Tyndis flu. oſtia # 138.30|16. 0 Calicutium, Calechut vulgo Calkoeten # 112. 0|5. 0 GEMMA FRI. Calicutium, Metropolis eſt;<unsure/> & em porium totius Indię celeberriniũ regem habẽs proprium, qui caco dæmonem colit, atq; is ſi vxorem ducere debeat, eã prius vni ex ſa- cerdotibus deflorandã exhibet, atq; c<unsure/>b id filij nõ ſuc<unsure/>cedũt regno. Ad hanc vrbem adferuntur ex to ta India & Sinarũ regione omnis generis aromata gariophila, nu- ces myriſticæ, muſc@us, Rhabar- barũ, ſandala aloë, ac reliqua hu- iuſmodi: gignit aũt cinamomum & gingiber & caſſiã. Deniq; om- nis generis merces, ſeu ſerici, ſeu lapidũ pre@ioſorũ ad hanc vrbem cõportantur, atq; inde in totum orbem digerũtur, Incolæ (quod in emporijs ſæpe accidit) varij ſunt, alij Chriſtiani, nonnulli Ma humetani, quidã Caffrani idolo- latræ, qui vxores amicitiæ gratia ſæpe commutant inter ſe. Hipocura # 120.30|4. 0 Simylla empo & promonto. # 110. 0|14.45 Gymnoſophiſtæ populi, qui ſo- lem immobilibus oculis contuc<unsure/>- ri ſolent # 130. 0|30.30 *Caticardama, nunc Ciromãdel in Sinu Gangetico ſita, vbis. Tho mas Apoſtolus ſepultus fuit # 136.20|12.40 Sambolaca # 132@15|31.50 ¶ Praſiorum gent. Ciuit. Palybotra vrbs ditiſſima Praſio- rum inter Indum & Gangem fluuios # 143. 0|27. 0 Tamalitcs # 144.30|16.30 ¶ Praſiacæ Ciui. Sambalaca # 141. 0|29.30 ¶ Indoſcythæ Ciuit. Andrapana # 124 15|30.40 Banagara # 122.15|30.20 Budæa # 121.15|28.15 Indoſcythæ populi # 121.20|30. 0 ¶ Sabaræ Ciuit. Hic abundat adamas Taſopium Ciuit. # 140.30|22. 0 ¶ Meſolorum Ciuit. Pityndra Metrop. # 135.30|12.30 Bardamana # 136.15|15.15 *Punnata inter Pſeudoſtomũ & Barim flu. in qua reperitur Beryl lus # 120.40|17 30 ¶ Indiæ extra Gangem Ci. Pentapolis # 150 0|18. 0 Baracura emp.nunc Bangella # 152.30|16. 0 ¶ Beſyngitorum Antropo- phagorum in Sabarico ſinu. Sabara # 159. 0|8.30 Begynga emp. # 162.20|8.26 ¶ Aureæ Cherſoneſi Ciuit. Tacola em. Malacha nũc dicitur mirę magnitudinis à Portugalen ſibus vi capta, quod teſtatur E pi- ſtola Emanuelis regis ad Leonẽ decimum # 160.30|4.15 Sabana emp. Auſt. # 160. 0|3. 0 Colipolis Æquinoct. # 164 20|0. 0 ¶ Magni ſinus Ciuit. *Sinus hic hodie dicitur mare de Sur, & Archipelagus innumera- rum inſularum # 167.30|7. 0 Balonga Metropolis, Ciuitas Pe- go, inter Orientales nulli ſecũda # 167.30|7. 0 <pb o="Fo.43" file="091" n="91" rhead="GRAPH. PETRI AP."/> Synda # 167.15|13.40 Thagora # 168.0|6.0 Corgatha Metrop. # 167.0|12.30 Eldana, huc peruenit S. Thomas prædicare Euangelion # 152.0|31.0 Tryglyphon, aut Trilingum, in hac galli gallinacei barbati eſſe di cuntur, & Corui & Pſitaci albi. # 154.0|17. 0 ¶ Indiæ ſuperioris aut Ori- entalis Regna & Ciuit. Chayræ pro@nicæ P. I. S. C. GEMMA FRI. Hæc de India Orientali ex Marco Veneto deprompta, incerta plu- rimũ ſunt, atque ob eam cauſam aliter hodie & traduntur & ob- ſeruantur. Coroina # 190.0|32.35 Chayra # 192.30|41.0 Hæc prouincia continet in ſe. 7. regna ſubiecta Cham. Sunt idolo- latræ omnes. Balor regio habet # 205.0|65.0 Incolę ſunt ſilueſtres, habitãt mõ- tes & equitant ceruos. Indæi clauſi # 215.0|60.0 Tagut prouin. magna # 225.0|55.0 ¶ Chatay regionis Ciuit. Chataio Ci. # 222.0|43.50 Ciamfu Occi. # 222.0|37.17 Quinſay Ciuitas totius mundi ma xima, & in noſtro idiomate dici- tur Cœli ciuitas, in medio lacꝰ eſt habens in circuitu. 1200@ pontes # 226.0|37.40 Geiten # 259.0|25.15 Ciamfu. Ori. # 231.0|32.5 Focho # 240.55|7.0 Tingrei # 236.0|35.0 ¶ Mangi prouin. Regna & Ciuitates. Iſta ꝓuincia cõtinet in ſe. 9. regna. Taygni # 224.15|31.0 Sygni # 232.0|29.20 Thebet prouin. & Ci. # 204.10|3.20 In hac prouincia dominatur Rex & Dominus magnus Cam poten tiſſimus Dominus totius Indiæ Oriẽtalis & Meridionalis eius par tis. & omnes reges Indię ſunt ſub eius imperio. ¶ Cyambæ prouin. P. I. S. C. Cyamba # 208.10|25.30 Iſti ytũtur chorallis pro moneta: accolæ ſunt idololatræ, habent co piam magnam nucum muſchata- rum & Ebani nigri. Habent & li- gna aloë, & copiam de omni gene re ſpecierum. ¶ Indiæ Meridionalis Ciui. Loach prouin. Incolæ huius prouinciæ habent proprium regem, & linguam, ſunt Idololatrę. ¶ Morfuli regni Ciuit. Lamia # 202.10|11.40 Morfuli Ci. # 285.0|13.0 Loach # 191.40|16.30 Auſt. Thime Metro. # 180.0|3.10 Auſt. Notium promon. # 276.0|5.0 Per totum illud littus ſunt lchthi<unsure/> ophagi Sinæ, & ſunt Æthiopes. ¶ Moabar prouin. Nar Ciui. # 276.0|20.10 Auſt. Incolæ adorant boues. Malaqua # 260.6|15.30. Auſt. Hic occifus eſt S. Thomas Apoſt. ¶ Lac regni deſcriptio. Lac, ciuit. # 166 30|21.40 Incolæ nudi incedunt, adorant bo uem, ſunt Idololatrę, tamen iuſti, & odio habent mendaces. ¶ Aſiæ deſcript. finis.</note> <pb file="092" n="92" rhead="SECVNDA PARS COSMO."/> </div> <div xml:id="echoid-div101" type="section" level="1" n="95"> <head xml:id="echoid-head104" xml:space="preserve">Inſularum ſumma enarratio.</head> <note position="right" xml:space="preserve"> EVROPÆ INSVLÆ. ¶ Inſulæ quæ Marimediter- raneo alluuntur. Creta modo candia # 54.0|34.45 Gortina ci. v. Cortijn # 54.15|34.10 Minoa, patria Strabonis Cof- mographi. # 53.0|35.0|35.0 ¶ Cretæ adiacent inſulæ. Clandus, porto gaboſo # 52.30|34.0 Letoa inſ. # 54.30|34.30 Dia inſ. # 54.30|35.40 Cimolis inſ. # 55.30|34.30 Melos inſ. vulg. Mil # 54.0|35.30 ¶ Peloponneſo adia. inſulæ. Epla inſ. vel Pityuſa # 54.15|31.40 Cythera, v. Porphiris # 50.0|34.20 Salamis inſ. # 50.0|37.0 Sphargia inſ. vulgo Sphagie # 48.0|35.0 Ægina inſ. # 52.10|36.45 Strophades, vul. Plote # 47.30|36.0 Prote, inſ. # 47.50|35.20 ¶ Achaiæ adiacent hæ. Euboea quæ Abantis dicitur, mo- do Nigropontus # 53.40|38.15 Thera # 52.0|35.25 Cia # 54.15|36.40 Iulis aut Iulida # 54.20|36.55 Polyægos inſ. # 54.40|36.15 Theraſia, v. Sãctorinũ # 54.45|36.18 Delos inſ. # 55.25|37.20 Rhena inſ. # 55.5|37.10 Phorbiũ in Mycono # 55.45|37.10 Olyarus inſ. # 45.20|36.30 Myconos inſ. # 55.40|37.10 Cythnos inſ. # 54.55|36.30 ¶ Cycladum inſulæ & ci. Andros inſ. & ci. # 55.0|37.12 Naxos inſ. & ci. # 55.20|37.0 Sunium inſ. # 55.20|36.50 Tenos inſ. # 55.5|37.30 Scyros inſ. # 54.15|37.15 Paros inſ. # 55.12|36.20 Siphnos inſ. # 55.15|36.45 ¶ Epiro adiacent inſulæ. Corcyra nigra, nunc Corfu ſiue Corfinium dicitur # 45.40|38.15 Cephalenia inſ. # 47.40|37.10 Scopelus inſ. # 47.45|37.55 Ithaca inſ. # 48.0|37.30 Ericuſa inſ. # 46.40|38.0 Lotoa inſ. # 47.0|36.45 Zacynthus, vel zãtus # 47.30|36.30 ¶ Inmari Ionio Macedo- niæ adiacent inſ. Saſonis inſ. # 44.10|39.30 ¶ In Ægæo pelago. Scopelos inſ. # 52.30|39.20 Sciathos inſ. # 52.10|39.15 Scyros inſ. # 54.0|29.0 Lemnos inſ. # 52.30|41.0 Peparethus inſ. # 52.50|39.0 ¶ Inſulæ Thraciæ adia. ſub Boſphoro occid. Cyanæum inſ. # 56.20|44.0 ¶ In Propontide. Preconeſus inſ. # 55.30|42.0 ¶ Inſulæ in Ægæo mari. Samothracia inſ. # 52.30|41.15 Talaſſia, vul. Thaſſos # 51.45|41.30 Imbros inſ. # 53.20|41.15 ¶ In mediterraneo Miſiæ. Pauca, inſula facta à Danubio # 55.20|46.30 ¶ In mari Euxino Miſiæ. Boriſthenes inſ. # 57.15|47.40 Achillis, inſula alba, vel Leuce # 57.30|46.40 <pb o="Fo.44." file="093" n="93" rhead="GRAPH. PETRI AP."/> ¶ Iuxta Tanaim. Alopetia inſ. # 66.30|53.30 ¶ Siciliæ deſcriptio. Sicilia olim Sicania, Trinachria vel Triquetra dicta eſt, alluitur ab occaſu & Sep. Tyrrheno mari, à meridie Aphrico, ab oriẽte Adria tico. Mediũ eius # 38.15|37.0 Ætna mons, vul. Gibello, perpe- tuo igne ardens, cuius fundus eſt de Tofo lapide nigro & poroſo, quo in balneis vtimur # 39.0|38.0 Pachynus promõt ori # 40.0|36.20 Pelorus promõt. ſep. # 39 20|38.30 Promontorium illud habet à dex tris, id eſt, verſus Italiam, Scyllam, à leuo Carybdim. Eſt igitur his in locis mare nautis periculoſum. Lelybeus promontorium occi. # 37.0|36.0 ¶ Iuxta Siciliam inſ. Euonymus # 39.30|38.45 Lipara inſ. # 39.0|38.45 Vulcani inſ. # 38.50|38.35 Didymæ inſ. # 39.0|39.0 Ericodes inſ. # 38.20|38.45 Phœnicodes inſ. # 38.20|38 50 Hiceſia inſ. # 39.30|39.0 Strogylæ inſ. # 39.30|39.45 Oſterides inſ. # 36.15|37.0 Vſtica inſ. # 37.30|38.45 Phorbantia inſ. # 36.0|36.20 Æguſa inſ. # 36.15|35.50 Paconia inſ. # 36.30|25.5 Æoli inſ. # 37.0|39.0 Sacra, vel Hiera inſ. # 36.0|36.0 ¶ Sardiniæ inſulæ deſcrip. Sardinia olim Sãdaliotis & Ichnu ſa ab occidente, Sandano alluitur pelago, ab oriente, Tyrrheno, à meridie, Aphrico. Medium eius habet # 30.0|38.0 ¶ Sardiniæ adia. mſulæ Ficaria inſ. # 33.0|37.20 Molibolis inſula ſiue Plombea # 30.30|35.30 Hieracum, hoc eſt, acci- pitrum inſ. # 30.0|35.45 Hermæa inſ. # 33.0|39.0 Nymphæa inſ. # 29.45|39.30 Ilua inſ. # 36.20|39.20 Phintonis inſ. # 30.40|39.5 Herculis inſ. # 39.20|39.0 Diabata inſ. # 29.20|38.45 ¶ Corſicæ inſulæ deſcrip. Corſica quam Græci Cyrnam ap pellant, ſiue Cyreneam, cingitur à Sep. & occaſu Liguſtico mari: ab ortu Tyrrheno, habet medium # 29.20|40.50 ¶ Italiæ adiacentes inſulæ in Tyrrheno pelago. Sirenum inſulæ tres # 39.30|49.55 *Sirenes, tres fuere meretrices, & totidem Inſulæ: Parthenope, Lu- coſia, & Ligya ſcilicet. id eſt, vir- go, alba, canora, inde prouerbium de Sirenũ vocibus, blãdicijs, & pe riculis, quod etiam in Sirenes no- ſtri ſæculi optimè quadrat. Caprea inſ. # 39.20|40.10 Pithecuſa inſ. # 39.20|40.30 Prochytha inſ. # 38.45|40.40 Parthenope inſ. # 38.20|40.45 Pandatoria inſ. # 37.50|40.45 Pontia inſ. patria Pilati # 37.20|40.45 Planaſia inſ. # 34.0|41.0 In Liguctico mari. Æthala inſ. # 30.40|42.0 Capraria inſ. # 32.0|42.0 Ilua inſ. # 33.20|42.0 In Ionio mari. Diomedeæ inſu. # 40.50|43.0 Liburniæ adiacentes inſulæ. Abſorrhus inſ. # 36.50|44.30 Curicta, vulg. vegia # 39.20|44.15 Scardona inſ. # 40.50|43.30 <pb file="094" n="94" rhead="SECVNDA PARS COSMO."/> ¶ Dalmatiæ adiacentes inſulæ. Iſſa vel Liſſa # 42.20|43.0 Tragurium inſ. # 43.0|42.45 Corcyra aut Carſula # 44.0|41.45 Meligena inſ. # 44.10|41.20 ¶ Tarr. Hiſpan. adia. in mari Balearico inſulæ duæ no- mine Pithyuſæ. Ophiuſa, vulg. la dragonera # 14.50|38.20 Ebyſſus # 14.0|38.5 ¶ Balearidis inſulæ duæ quæ Græcæ Gymne- ſiæ appellantur. Maiorica inſ. Mallorca # 16.45|39.15 Minorica inſ. Menorca # 17.30|39.30 ¶ Narbonenſi adia. inſulæ in Mari Gallico. Agatha inſ. # 22.30|42.10 Blaſcon inſ. # 23.30|42.20 Stychades inſ. numero. 5. # 25.0|42.15 Lerone inſ. # 27.15|42.15 ¶ In freto Gaditano. Gades, vel Gadira, vulg. Calis malis # 5.10|36.46 ¶ Inſulæ in Oceano Septen- trionali & Atlantico. ¶ Luſita. Hiſp. adiacet inſula Londobris, v. Barlingas # 3.0|41.0 ¶ Tarr. Hiſp adiacent inſul. in Cantabrico oceano. Scopuli inſ. tres habent medium # 9.0|46 45 Cattiderides, medium iſtarum # 4.0|45.30 Deorum inſ. duæ # 4.42|42.20 Cathendes inſ. # 4.0|46.0 Trileucæ inſ. # 9.0|47.0 ¶ In Atlantico. 7 inſulæ. Gratioſa inſ. # 356.0|39.0 Depico inſ. # 355.0|38.0 S. Michaelis inſ. # 357.0|38.0 S. Mar@æ inſ. # 357.0|37.0 S. Georgi@ inſ. # 354.0|39.0 Chriſti inſ. # 356 0|37.0 Faual inſ. # 355.0|36.0 ¶ Inſulæ Oceano Germani- co complexæſunt hæ. Angliæ regninunc, P@o. Albionis Inſulæ Britãnicæ inſigniores Ci. Medium eius habet # 14.0|54.30 Cantuaria, Catelberg # 14.55|52.8 Oxonium, Oxfort # 11.50|52.41 Londonium, modo Londinum, vulg. Londen # 13.20|52.30 ¶ Albioni adiacent inſulæ iuxta Orcada. Ocetis inſ. # 32.40|60.45 Du@@a inſ. # 30.0|61.40 ¶ Orchades inſulæ. 30. Media habet inter illas # 30.0|61.40 ¶ Supra has. Thyle, cuius medium # 33.0|63.0 ¶ Scotiæ inſulæ Ciui. Scotiæ medium # 20.0|57.0 Etenburgũ ci. Ptol. Alata Caſtra vulg. Edenburg # 19.18|57.13 Efaguẽſis ſolennis ci. # 20.17|57.33 Eboracum, vulg. York, ciuitas # 18.0|57.0 ¶ Hiberniæ nunc Irlandiæ inſulæ ciuitates. Irlandia eſt inſula fœcunda & ſa- lubris, ſerpentibus & venenoſis reptilibus carens. Hiberniæ medium # 7.30|57.0 Reba ciuitas # 6.40|57.20 Purgatorium S. Patricij, eſt antrũ in quo horrẽda ſpectacula cõſpi- ciũtur, & nõ longe ab illo lacus in quo inſula parua mediterranea, cuius incolę cũ in agonia ſunt, nõ moriũtur ibidem, niſi in aliud li@ <pb o="Fo.45." file="095" n="95" rhead="GRAPH. PETRI AP."/> tus traijciantur # 6.42|58.50 Lamon ciui. # 7.5|56.30 ¶ Hiberniæ ſuperiacent 5. inſulæ Ebudæ dictæ Ebuda occ. # 15.0|62.0 Ebuda ori. # 15.40|62.0 Rhicina # 17.0|62.0 Maleos inſ. # 17.30|62.10 Epidium inſ. # 18.30|62.15 ¶ Hiberniæ adiacent in parte orientis Inſulæ hæ. Monarina inſ. # 17.20|61.30 Mona inſ. vulg. Man # 15.0|57.40 Edros deſerta # 15.0|59.20 Limnos deſerta # 15.0|59.0 ¶ Iſlandæ Inſulæ ſitus & Ci. *Iſlandia Inſula eſt regno Norue giæ parens, Miraculisq@ue rerum & euentuum inſolitorum clari- tate prędicanda: de quibus Saxo Grammaticus in ſuæ Daniæ præ fatione, & Olaus Gothus in ſua partium Septentrionaliũ deſcri- ptione meminerunt. Sunt in ea tres montes ſuſpiciendæ altitudi nis, quoruin cacuminibus perpe tua nix ſedet: Infima vero ſimi- lis cum Ætna naturæ, ſempiter- no ardore exeſtuant: Vnus inter eos Helga, alter mons Crucis, Tercius Hecla dicitur, cuius flam ma neque ſtupam lucernarum l@ minibus aptiſſimam adurit, neq; aqua extinguitur, eo´que impetu quo apud nos machinis bellieis globi eijciũtur, illinc lapides ma- gni in aera mittuntur, ex frigoris ſulphuris & ignis commixtione. Iuxta hos montes ſunt tres hia- tus immanes, quorum altitudinẽ a pud montem Hecla potiſſimũ, ne lynceus quidem perſpicere queat, ſed apparent ipſum inſpi- cientibus, homines primum ſub- merſi adhuc ſpiritum exalantes, qui amicis ſuis vt ad propria re- deant hortantibus, magnis ſuſpi rijs ſe ad montem Hecla profi- ciſci debere reſpõdent, ſic´q; ſub- ito euaneſcunt. Circum verò in- ſulam per ſeptem aut octo men- ſes fluctuat glacies, miſerabilem quendam gemitũ, & ab humana voce non alienum ex colliſione ædens. Putant´q; incolæ & in mõ te Hecla & glacie, loca eſſe, in qui- bus animæ ſuorum cruciantur. Quòd ſi ex hac glacie magnam quis partẽ ceperit, eam´q; vaſi au@ ſcrinio incluſam quàm diligen- tiſſimè adſeruarit, illa, tempore glaciei quæ circũ inſulam eſt de- gelantis, euaneſcit, vt neq; mini- ma eiuſdem particula neq; guttu la aquæ reperiatur. Non procul ab his montibus ad maritimas oras vergẽtib@ ſunt quatuor fon- tes diuerſiſimæ naturæ. Primus ſuo perpetuo ardore omne cor- pus ſibi immiſſum raptim con- uertit in ſaxum, manente tamen priori forma. Secundus eſt algo ris intolerabilis. Tertius vel mel- le dulcior, & reſtinguendo ſiti iu- cundiſſimus. Quartus eſt planè exitialis, peſtilens, & virulentus. Præterea eſt apud hos fontes tan ta ſulphuris copia, vt mille librę paruo, nempe decima ducati par te coemantur. Merces eorũ præ- cipuæ ſunt piſces torridi & exic- cati, nimirũ ſoleæ, ſalpæ, paſſeres & huiuſmodi, quos frumento alijs´q; rebus commutãt cum ijs, <pb file="096" n="96" rhead="SECVNDA PARS COSMO."/> qui Lubeca, Hamburgo & Amſtel redamo illuc nauigant. Namque apud eos in tantũ idq́; crebro per penuriam annona inualeſcit, vt piſcibus torridis pro pane vulgo vtantur, quamuis æſtate etiamnũ florenti optimis & ſpirantibus pratis fic abundent, vt armenta (ne pinguedine ſuffocentur) ab ipſis coercenda ſint. Conficitur apud hos optimum & medicinæ vſui aptiſſimum butyrum. Repe riuntur ibidem Falcones, Accipi tres, Corui, Vrſi, Lepores & Vul- pes cùm niuei tum atri coloris. Equos habent velociſſimos, qui ſine intermiſſione triginta mi- liaria citato curſu conficiũt. Tem pla habent multa, & domos ex oſ ſibus piſcium & balenarum con- ſtructas. Non patet in hanc inſu- lam nauigatio, niſi æſtiua eaq́ue quadrimeſtris, propter glacié & frigora, quibꝰ intercluditur iter. Si autem inter nautas de portus cõmoditate potienda diſceptan- tes aliquod bellũ nauale in mari cooriatur, quamuis id reſciſcat loci præfectus, nullo illi damno mulctantur, propter ea quòd hu ius nõ ſit de his quæ mari, ſed quę terra duntaxat aguntur, decer- nere. Periclitantur etiam quàm ſepiſſime naues propter balenas, & id genus marinas beluas, niſi nauclerus ſibi prudenter proſpi- ciens, per vaſa vacua mari im- miſſa ſonitusq́ue tubarum longe à naui eas propellat. Cytharœdi & qui teſtudine ludunt, apud eos reperiuntur quàm plurimi, qui prędulci modulamine & volucres & piſces irretiant & capiũt. Mul- ti etiã ad pellendã frigoris aſperi tatem in cauernis latitant, quem admodum Africani ad calorem æſtiuum vitandũ faciunt. Eſt in vertice cuiuſdam montis nomi- ne VV eyſzarch, inter Iſlandiam & Gruntlandiam, à duobus pi- ratis Pinnigt & Pothorſt, con- ſtructum magnitudinis admiran dæ Quadratum nauticum, in gra tiam nauigantium, vt ſe à peri- culis quę ſunt Gruntlandiam ver ſus defendant. Eius medium # 7.0|65.30 Harſol ciui. # 7.40|60.42 Thirtes ciui. # 5.50|64.44 Nadar ciui. # 6.40|57.20 ¶ Seelandiæ Scaniæ ſitus à Ptho. Scandia dicta. Eius medium # 34.20|56.15 Roſchilde Epiſcopalis # 34.16|56.20 Hafnia, vul. Coppenhage. # 35.29|56.30 ¶ Huic adiacent Inſulæ. Femara inſ. # 30.15|55.55 Gotlandia inſ. # 48.0|60.0 ¶ Trimoantes Inſulæ. Toliapis, vulg. Tenet # 23.0|54.20 Counos, vulg. Shepey # 24.0|54.30 Vectis inſ. # 19.20|52.20 ¶ Seelandiæ Belgicæ Ciui. Middelburgum emp. # 18.26|51.48 Ziericzee # 19.0|52.0 </note> </div> <div xml:id="echoid-div102" type="section" level="1" n="96"> <head xml:id="echoid-head105" xml:space="preserve">¶ Europæ inſularum finis.</head> <pb o="Fo.46." file="097" n="97" rhead="GRAPH. PETRI AP."/> </div> <div xml:id="echoid-div103" type="section" level="1" n="97"> <head xml:id="echoid-head106" xml:space="preserve">AFRICÆ INSVLÆ</head> <note position="right" xml:space="preserve">Ault</note> <note position="right" xml:space="preserve"> <lb/>IN SINV ARABI-<lb/>co & mari Rubro Inſi@@æ. <lb/>Aphroditæ, id eſt, Veneris <lb/>Inſula # 65.15|25.0 <lb/>Saſpirena inſ. # 64.45|28.0 <lb/>Agathonis inſ. # 65.15|23.20 <lb/>Aſtarte inſ. # 66.0|22.30 <lb/>Ara palladis # 66.10|21.30 <lb/>Gyoſitis inſ. # 67.0|19.20 <lb/>Gomadeorum duæ # 67.30|19.0 <lb/>Myronis # 67.0|18.0 <lb/>Catathræ & Chelonitides duæ <lb/># 68.0|17.30 <lb/>Magorum inſ. ferens Thus & <lb/>Mirrham # 68.30|16.0 <lb/>Daphnina # 68.20|15.20 <lb/>Acanthina # 68.30|15.0 <lb/>Macaria, id eſt, beata inſula <lb/># 68.30|14.30 <lb/>Orneon inſ. # 69.0|14.0 <lb/>Bachi & Antibachi # 69.30|13.15 <lb/>Panis inſ. # 68.20|12.30 <lb/>Diodori inſ. # 70.0|12.30 <lb/>Iſidis inſ. # 70.0|11.30 <lb/>¶ In Sinu analitico. <lb/>Mondi inſ. # 75.0|8.30 <lb/>¶ Poſt Aromata promont. <lb/>Amici vel Ameici inſ. # 85.0|4.0 <lb/>Menæ inſ. duæ # 84.0|2.30 <lb/>Myrſiaca inſ. # 85.0|1.0 <lb/>¶ In Sinu Barbarico. <lb/>Minuchias inſ. # 85.0|12.30 <lb/>¶ In Mediterraneo mari iux-<lb/>ta Mauritaniam Numidiam & <lb/>Africam minorem Inſ. <lb/>Inlia Cæſarea inſ. # 17.30|23.40 <lb/>Hydras inſ. # 28.0|33.0 <lb/>Calatha inſ. # 31.0|33.40 <lb/>Dracontinus inſ. # 33.15|34.15 <lb/>Æginus inſ. # 34.15|33.15 <lb/>Laruneſiæ duæ # 37.0|33.30 <lb/>Lopaduſa inſ. # 39.0|33.10 <lb/>Æthuſa inſ. # 39.20|33.20 <lb/>Cercinna inſ. # 39.0|32.15 <lb/>Lotophagitis # 39.40|31.20 <lb/>Miſynus inſ. # 41.40|30.40 <lb/>Pontia inſ. # 45.20|30.15 <lb/>Gaia inſ. # 46.0|29.20 <lb/>Coſſyra inſ. # 37.20|34.20 <lb/>Glaucõisinſ. aut Merua # 37.20|34.40 <lb/>Melita inſ. # 38.45|31.20 <lb/>Hiras aut Iunonis ſacrum, vulg. <lb/>Iunora # 39.0|30.40 <lb/>Herculis ſacrum # 38.45|31.35 <lb/>¶ Iuxta Cyrenes. <lb/>Myrmex inſ. # 48.40|31.50 <lb/>Læa Veneris inſ. # 50.10|31.55 <lb/>¶ In terra Ægyp. Inſulæ <lb/>à Nilo factæ. <lb/>Delta paruum # 62.40|30.20 <lb/>Delta magnum # 62.0|30.0 <lb/>Delta tertium # 61.15|30.5 <lb/>¶ In pelago Ægyptio, <lb/>iuxta Ægyp. <lb/>Dydimæ duæ # 60.0|31.30 <lb/>Phocuſæ duæ # 56.50|31.30 <lb/>Æneſippa inſ. # 56.30|30.30 <lb/>Tyndaiij ſcopuli tres # 55.30|31.30 <lb/>Ædonis inſ. # 52.20|31.50 <lb/>¶ In Oceano occidentali in-<lb/>ſulæ iuxta Africam. <lb/>¶ Fortunatarũ inſulæ numero ſex <lb/>quæ modo Canariæ dicuntur. <lb/>Aproſitus inſ. # 1.0|16.0 <lb/>Hyras. i. Iunonis # 1.0|15.15 <lb/>Fluitana inſ. # 1.0|14.15 <lb/>Caſperia inſ. # 1.0|12.30 <lb/>Canaria inſ. # 1.0|11.0 <lb/>Pinturia inſ. # 1.0|10.30 <lb/>¶ Libyæ adiacent. <lb/>Cerne # 5.0|25.40 <lb/>Hyras, id eſt, Iunonis quæ Auto-<lb/>Iaa dicitur # 8.0|23.50 <pb file="098" n="98" rhead="SECVNDA PARS COSMO."/> Pœna inſ. # 5.0|32.0 <lb/>Erythia nunc Erithrea # 6.0|29.0 <lb/>Porta ſancta inſ. # 360.0|30.30 <lb/>Madera inſ. aut Medera, quæ & li-<lb/>gnorum inſula dicitur, olim Gor-<lb/>godes vel Cordua dicta <lb/># 358.30|29.40 <lb/>¶ Inſ. Portugalenſium ſunt <lb/>decem in Oceano occidentali <lb/>inuentæ, An. 1472. <lb/>S. Anthonij # 351.0|17.0 <lb/>S. Luciæ # 351.0|16.0 <lb/>Alba inſ. # 352.0|15.0 <lb/>S. Vincentij # 353.0|14.0 <lb/>Salis inſ. # 354.0|14.0 <lb/>Viſionis inſ. # 355.0|13.0 <lb/>S. Nicolai inſ. # 352.0|13.0 <lb/>S. Philippi inſ. # 351.0|12.0 <lb/>Demana inſ. # 353.0|11.0 <lb/>S. Iacobi inſ. # 351.0|12.0 <lb/>¶ In ſinu magno Africæ. <lb/>Formoſa inſ. # 32.0|12.0 <lb/> Principis inſ. # 30.15|14.0 S. Thomæ inſ. # 27.20|16.0 Delli pulcellæ inſ. numero ſeptem. # 360.0|35.0 ¶ Hæc de inſulis Africæ. </note> </div> <div xml:id="echoid-div104" type="section" level="1" n="98"> <head xml:id="echoid-head107" xml:space="preserve">ASIÆ INSVLÆ.</head> <note position="right" xml:space="preserve"> <lb/>IN MEDITERRA <lb/>neo mari, In ponto Euxine. <lb/>Thynias, vulgo Daphnuſia <lb/># 57.30|43.25 <lb/>Erithini ſcopuli inſul. # 58.30|43.15 <lb/>¶ In Helleſponto. <lb/>Tenedos Inſ. vulg. Tenedo. In ea <lb/>latuerũt Græci, cũ inſidias ſtruere <lb/>tentauerunt Troianis # 55.0|40.55 <lb/>¶ In Ægeo pelago. <lb/>Leſbos inſ. # 55.15|40.0 <lb/>Mytilenæ # 55.40|36.20 <lb/>¶ In Icario pelago. <lb/>Icaria inſ. # 56.45|37.20 <lb/>Myndus inſ. # 57.40|36.25 <lb/>Chius inſ. # 56.20|38.25 <lb/>Phanæa extrema # 56.20|38.15 <lb/>Poſidium, vel Pathmos # 57.0|37.35 <lb/>Ampelos extrema # 56.10|37.10 <lb/>¶ In Myrtoo pelago. <lb/>Arceſina inſ. # 56.10|37.0 <lb/>Begialis inſ. # 56.10|36.50 <lb/>Mynyia inſ. # 55.10|36.50 <lb/>Co, inſula, patria Hippocratis me <lb/>dicorum principis # 57.0|36.25 <lb/>Aſtypalæa inſ. # 55.20|36.0 <lb/>Cæſi inſ. # 56.30|35.15 <lb/>Carpathos inſ. # 57.10|35.15 <lb/>Rhodus inſ. & ci. per Turcam di-<lb/>repta, anno. 1522. # 58.30|35.40 <lb/>¶ Lyciæ adiacent inſulæ. <lb/>Megiſta, vel Maxima # 60.20|35.15 <lb/>Dolochiſta inſ. # 61.10|35.15 <lb/>Chelidoniæ ſcopuli # 61.10|36.0 <lb/>¶ Syriæ adiacent inſulæ. <lb/>Aradus inſ. Paria dicta Plinio, eſt <lb/>petra quædam ſeptem ſtadiorum <lb/>ambitus, & à cõtinente viginti ſta <lb/>dijs ſemota, Strab. autore, nunc <lb/>dicitur Ar. # 68.0|34.30 <lb/>Tyrus inſ. modo Continenti <lb/>adhæret # 67.0|33.30 <lb/>Crambuſa # 62.10|35.40 <lb/>Atelebuſa inſ. # 63.15|35.10 <lb/>Cyprus inſ. quæ aliàs Cathim vel <lb/>Paphon dicitur # 62.30|35.30 <lb/>¶ Eius ciuitates hæ <lb/>Macaria ci. # 66.0|35.15 <lb/>Paphos noua ci. modo Baffa. <lb/># 64 20|35.10 <lb/>Paphos antiqua # 64.10|35.5 <lb/>Drepanum promon. # 64.10|34.50 <lb/>Zephirium promon. # 64.10|35.5 <pb o="Fo.47." file="099" n="99" rhead="GRAPH. PETRI AP."/> Salamis, modo Famaguſta <lb/># 66.20|35.10 <lb/>Carpaſiarũ Inſ. mediũ. # 67.5|35.45 <lb/>¶ In mari Hircano vel <lb/>Abacuc inſ. <lb/>Helades duæ # 87.30|45.0 <lb/>Talca inſ. vel Chalca # 59.0|43.5 <lb/>¶ In ſinu Arabico. <lb/>Æni inſu. # 65.45|27.20 <lb/>Timaginis inſu. # 66.0|25.45 <lb/>Zygæna inſ. # 66.15|24.20 <lb/>Dæmonon inſ. # 66.45|23.15 <lb/>Polibij inſ. # 67.20|20.40 <lb/>Hieracõ inſ. i. accipitrũ # 69.30|19.0 <lb/>Socratis inſ. # 70.0|16.20 <lb/>Cardamina inſ. # 71.0|16.0 <lb/>Ara inſ. # 71.0|15.40 <lb/>Combuſta # 70.30|14.30 <lb/>Maliachi duæ # 71.30|12.30 <lb/>Adani duæ # 72.30|12.30 <lb/>¶ In mari Rubro vel <lb/>Erythræo. <lb/>Agathodis duæ # 81.20|10.0 <lb/>Cocconati tres # 83.0|9.0 <lb/>Dioſcoridis inſ. & Ci. # 86.40|8.30 <lb/>Treta inſ. # 86.30|12.0 <lb/>¶ Inſulæ iuxta Sacha-<lb/>litem Sinum. <lb/>Zenobij. 7. inſulæ # 91.0|16.10 <lb/>Organa inſula Chriſtiana Mau-<lb/>ris parens # 92.0|19.0 <lb/>Sarapiadis inſ. aut <lb/>Serapionis inſula # 94.0|19 30 <lb/>¶ In ſinu Perſico inſulæ. <lb/>Ichara inſu. # 82.0|25.0 <lb/>Apphana inſ. # 81.20|28.20 <lb/>Tharro inſ. # 85.15|24.45 <lb/>Tylus inſ. # 90.0|24.40 <lb/>Aradus inſ. # 91.20|24.40 <lb/>Tabiana inſ. # 87.0|29.15 <lb/>Sophtha inſ. # 88.0|29.20 <lb/>Alexandria inſ. quæ & <lb/>Aracia dicitur # 90.0|29.0 <lb/>Sagdana inſ. # 94.0|27.15 <lb/>¶ In mari Indico Merid. <lb/>Baraca inſ. # 111.0|18.0 <lb/>Melizigeris inſ. # 110.0|12.30 <lb/>Heptaneſia inſ # 113.0|13.0 <lb/>Tricadiba inſ. # 113.30|11.0 <lb/>Peperina inſ. # 115.0|12.40 <lb/>Trineſia inſ. # 116.20|12.0 <lb/>Leuca inſ. # 118.0|12.0 <lb/>Nanigeris inſ. # 122.0|12.0 <lb/>Bazacata inſ. Populi in hac inſ. <lb/>nudi degũt, & Æginatæ dicũtur <lb/># 144.30|93.0 <lb/>*GEMMA FRI. In deſcripti <lb/>one ſua Geograph. Moluccę inſu <lb/>lę quinq; ſunt præcipuè numero <lb/>circa Æ quatorẽ ſitę Ex quibus ga <lb/>riofili, cinamomũ, nuces myriſti-<lb/>cæ, gingiber, ac alia aromata vber <lb/>tim ad orbis varias partes mittũ-<lb/>tur. A diacent ferè alię innumerę <lb/>inſulę, ſed nõ tãtæ fertilitatis. In-<lb/>colæ omnes gentiles ſunt, egeni <lb/>ferè, pacis tamen ſectatores, quo-<lb/>rum etiã multi baptiſmate ſuſce <lb/>pto, Chriſto inicitati ſunt. Sunt <lb/>præterea in eodẽ mari latronum <lb/>inſulę, quarũ incolę latrocinijs vi <lb/>ctitã<unsure/>t. Mulieres formę ſunt præ-<lb/>ſtantiſſimæ, nudę penitus pręter <lb/>pudenda: Domus ligneæ. Naues <lb/>habent exiguas, quas mira dexte <lb/>ritate regunt volantibus ſimiles. <lb/>¶ Antropophagorum inſ. <lb/>Sindæ inſ. # 152.20|8.40 Auſt. <lb/>Bonæ fortunæ, harum incolæ di-<lb/>cuntur Anthro. # 145.15|4.15 Auſt. <lb/>Baruſſę. 5. inſ. # 152.40|5.20 Auſt. <lb/>¶ Antropophagorũ aliæ tres <lb/>inſ. quæ appellantur Sabadibæ. <lb/>Harum mediũ # 160.0|8.30 Auſt. <lb/>Iabadi, id eſt, Hordei inſulæ, auri <lb/>& argenti ferax # 167.0|8.30. Auſt. <lb/>Satyrorũ inſulę tres, accolę ei’di <lb/>cũtur habere caudas # 171.0|2.30 Au. <lb/>Maniolæ. 10. inſ. Antropophagi <pb file="100" n="100" rhead="SECVNDA PARS COSMO."/> ſunt. In hac inſula gignitur lapis <lb/>Herculeus, ꝗ naues ad ſe trahit, q̃ <lb/>ferreos clauo; habẽt # 142.0|2.0 Au. <lb/>Polla inſ. # 98.0|19.0 <lb/>Carmina inſ. # 102.0|18.0 <lb/>Liba inſ. # 105.0|19.0 <lb/>Virorum inſ. # 94.20|14.0 <lb/>Fœminarum inſ. # 98.20|13.40 <lb/>Scoyra inſ. chriſtiana # 97.30|8.0 <lb/>¶ Taprobanæ inſulæ olim Si-<lb/>mundi, modo Salicæ ſitus & Ci. <lb/>Margana ciuit. # 123.30|10.0 <lb/>Priapij portus # 122.20|0.40 <lb/>Bacchi ciuitas # 130.0|0.5 Auſt. <lb/>Bocana ciuitas # 131.0|1.30 <lb/>Gangis fl. fontes # 129.0|7.20 <lb/>¶ Montes Taprobanæ ſunt: <lb/>Calibi montes. Malea mons, <lb/>Elephantorum paſcua. <lb/>*GEMMA FRI. IN DE-<lb/>ſcriptione<unsure/> ſua Geograph. <lb/>Taprobana, quam nunc Samotrã <lb/>dicunt Luſitani, incolæ verò Pat <lb/>zin, ab inſigniori portu. Inſula eſt <lb/>vt ampla ita diues, quatuor habés <lb/>regna, tributa magno Champen-<lb/>dentia. Mittit eadem piper, ſeri-<lb/>cum, ac gemmas omnis generis, <lb/>agro gaudet fœcundo, & ae<unsure/>re ani <lb/>mantiũ vitæ cõmodo. Incolæ & <lb/>ſi Chriſtum ignorẽt iuſticiam ta-<lb/>men ac leges colunt. <lb/>¶ Taprobanæ adiacẽt inſulæ <lb/>numero. 1378. quarum nomina <lb/>quæ traduntur ſunt hæ: <lb/>Garcos inſula # 118.0|0.20 Auſt. <lb/>Phelicus inſula # 116.15|3.40. Auſt. <lb/>Irena inſula # 120.0|2.30. Auſt. <lb/>Calãdadrua inſ. # 126.0|5.30. Auſt. <lb/>Arana inſula # 125.0|4.35. Auſt. <lb/>Baſſa inſula # 126.0|6.30. Auſt. <lb/>Balaca inſula # 129.0|5.30 Auſt. <lb/>Alaba inſula # 131.0|4.0 Auſt. <lb/>Gumara inſula # 133.0|1.40 Auſt. <lb/>Zaba inſula # 135.0|0.0 Æꝗ. <lb/>Zizala inſula # 135.0|4.15 Sept. <lb/>Nagadiba inſ. # 135.0|8.30 Sept. <lb/>Suſuara inſula # 135.0|11.30 <lb/>Ammina inſula # 117.0|4.30 <lb/>Monacha inſula # 116.15|4.15 <lb/>Ægidion inſula # 118.0|8.30 <lb/>Orneon inſula # 119.0|8.30 <lb/>Canathra inſula # 121.40|11.15 <lb/>Vangana inſula # 120.15|11.20 <lb/>*GEMMA FRI. Quę hic rur <lb/>ſus ſequuntur, ex obſcuris autori <lb/>bus deprõpta ſunt, neq; ſic à Lu-<lb/>ſitanis deprehenduntur hodie. <lb/>Madagaſcar inſ. # 105.0|23.30 Auſt. <lb/>Hæc inſ. habet nemora Sandalo-<lb/>rũ & oĩa genera ſpecierũ, nutrit <lb/>etiã elephantes, leones, leopardos <lb/>& lynces. Habitatores ſunt Sarra. <lb/>ceni & Machometiſtæ. <lb/>Circobena inſula # 100.0|34.0 <lb/>Zanzibar inſula # 115.0|40.0 <lb/>Zanzibar ciuitas # 116.0|37.0 <lb/>Omamoræ inſula # 132.0|27.30 <lb/>Dina Margabin # 132.0|31.0 <lb/>Dina Arobij # 135.0|32.0 <lb/>Iona inſula # 145.0|28.0 <lb/>Callenzuan inſula # 157.0|32.0 <lb/>¶ In Oceano orientali inſulæ. <lb/>Zipangri inſula # 250.0|15.0 <lb/>Zipangri ciuitas # 263.25|18.0 <lb/>Colobæ ciuitas # 261.30|12.30 <lb/>Hæc inſ. diſtat à littore. 300. quaſi <lb/>mil. Habitatores ſunt Idololatrę, <lb/>habent aurũ in copia maxima & <lb/>lapides precioſos. <lb/>Candin inſula # 250.0|24.0 <lb/>Candur, vel Sãdur inſ. # 204.0|13.0 <lb/>Hic videntur mirę magnitudinis <lb/>piſces habentes vnũ tantum ocu <lb/>lum in fronte. <lb/>Iaua maior inſula # 225.0|20.0 <lb/>Iaua ciuitas # 223.54|15.15 <lb/>Cobale ciuitas # 220.0|17.30 <lb/>Hæc Inſ. habet ſyluã nucũ muſ-<lb/>chatarũ & aromatũ copiã, & oẽs <lb/>inhabitatores ſunt Idololatræ. <pb o="Fo.48." file="101" n="101" rhead="GRAPH. PETRI AP."/> *GEMMA FRI. Iaua, quam in-<lb/>colæ Iao nominant, æs atq; aurum <lb/>mittit. Cultores habet admodum <lb/>varios, omnes tamen legibus ac ri-<lb/>tuum obſeruationi addictos ſed va <lb/>rijs. Nõnulli enim idolo latræ ſunt <lb/>quos Caphranos vocant, Alij An-<lb/>tropophagi: Ægros enim quos de <lb/>vita deſperare vidẽt, mactant, mor <lb/>tem naturalé præuenientes, vt eſui <lb/>ſint ſuauiores. Ita etiam parentes <lb/>quos ad vitæ actionem cenſent ob <lb/>ſenium incommodos, alijs eſitan-<lb/>dos vendunt. <lb/>Necura inſula # 210.0|23.30 <lb/>Sunt Idololatræ, habent Sandali <lb/>copiam & aromatum. <lb/>Peuta inſula # 204.0|25.0 <lb/>Incolæ ſunt Idoloatræ. <lb/>Angana inſula # 220.0|34.0 <lb/>Idoloatrȩ habẽtes capita quaſi ca-<lb/>Iaua minor # 210.0|40.0 (nina. <lb/>Ferlech eius ciuitas # 201.0|34.30 <lb/>Furfur ciuitas # 201.0|39.0 <lb/>Iſta inſula habet. 8. regna, & ſunt <lb/>idoloatræ. Hæc de Aſiæ inſ. <lb/></note> </div> <div xml:id="echoid-div105" type="section" level="1" n="99"> <head xml:id="echoid-head108" xml:space="preserve">INSVLÆ AMERICÆ</head> <note position="right" xml:space="preserve"> <lb/>Americæ medium # 330.0|10.0 Auſt <lb/>Eius latit. eſt quaſi. # 525. mil. Germ. <lb/>Lõgitu. eiuſdẽ quaſi. # 750. mil. Ger. <lb/>DE REGIONE PERV <lb/>prius dictũ eſt in capite de America. <lb/>¶ Deſcriptio eius littoralis <lb/>verſus Hiſpaniam. <lb/>Archay Cherſoneſus # 303.0|5.0 <lb/>Montana altiſſima # 312.0|3.50 <lb/>Caput de Stado # 317.0|2.30 <lb/>Sinus dulcis aquæ # 322.0|5.0 Auſt. <lb/>* In hoc Sinu ſunt ſeptem inſulæ, <lb/>in quibus vniones & lapides pre-<lb/>cioſi reperiuntur. <lb/>Rio Grande # 329.0|4.30 Auſt. <lb/>Cambales fl.oſtia # 332.40|4.0 Auſt. <lb/>S. Rochi # 341.0|8.15 Auſt. <lb/>S. Vincentij proui. # 343.0|12.20 <lb/>Caput S. Crucis # 345.0|14.0 <lb/>* Hic inuenit Magelanus Gigan-<lb/>tes decem pedum. <lb/>Rio S. Iacobi # 356.0|23.30 <lb/>Rio Se S. Lucia # 341.0|27.30 <lb/># Littus reliquum occidentale <lb/># permanſit incognitum <lb/># Inſulæ ſuperiacent Americæ. <lb/>Riqua parua # 296.0|10.0 <lb/>Riqua magna # 300.0|9.0 <lb/>De gigantibus # 308.0|7.50 <lb/>De braſil # 305.4|6.10 <lb/>Laponto # 318.30|4.0 <lb/>Spagnolla, hic reperitur lignũ gua <lb/>iacũ, quo morb@ gallicus medetur. <lb/>Eius medium # 315.0|20.0 <lb/>¶ Inſulæ adiacent huic ver-<lb/>ſus Africam innumerabiles. <lb/>Mari Gallante inſula # 334.0|17.30 <lb/>Todoſanctos inſula # 332.30|17.0 <lb/>Deforana inſula # 333.0|18.0 <lb/>Degadalupo inſula # 331.10|18.30 <lb/>Iſabella aut Cuba # 305.0|23.30 <lb/>Adiacentes huic. <lb/>Iucatana # 307.0|18.30 <lb/>Carij inſula # 310.20|24.30 <lb/>Sarmento inſula # 310.0|28.15 <lb/>Magna inſula # 312.5|27.12 <lb/>Carthaga inſula # 315.10|22.15 <lb/>Sequitur Parias inſula, q̃ & Secuba <lb/>dicitur, & eius littoralis deſcriptio <lb/>Medium eius # 258.0|44.0 <lb/># Secundum latitud. ab. 11. in 50. <lb/># quaſi gradum extenſa. <lb/>Caſta de mari litt. # 293.0|46.30 <lb/>Caput de Bonauentura. # 294. <lb/>Sinus magnus Pariæ # 283.0|29.0 <lb/>Cherſoneſus # 287.30|23.30 <lb/>Alterũ latus permanſit incognitũ. <lb/>Viridis inſula. # 347.0|14.0 <lb/></note> </div> <div xml:id="echoid-div106" type="section" level="1" n="100"> <head xml:id="echoid-head109" xml:space="preserve">FINIS TABVLÆ REGIONVM.</head> <pb file="102" n="102" rhead="Appendix."/> <p> <s xml:id="echoid-s2071" xml:space="preserve">ET ſi Coſinographicum opus Lector humaniſſ. </s> <s xml:id="echoid-s2072" xml:space="preserve">com <lb/>cluſimus, hic tamen placuit oſtendere, quo modo <lb/>horæ noctu ex lunari radiatione & </s> <s xml:id="echoid-s2073" xml:space="preserve">ſtellarum non <lb/>errantium motu venandæ ſint. </s> <s xml:id="echoid-s2074" xml:space="preserve">Crebris enim ac ſe <lb/>dulis hortatibus à fratre meo Georgio Apiano ro <lb/>gatus ſum, vt de horarum noctis obſeruatione ali <lb/>quid ſcriberem: </s> <s xml:id="echoid-s2075" xml:space="preserve">cuius precibus ſemel atq; </s> <s xml:id="echoid-s2076" xml:space="preserve">iterum, <lb/>vt potui, obtemperaui: </s> <s xml:id="echoid-s2077" xml:space="preserve">illudq́ organum excogitaui atque ſubiunxi. <lb/></s> <s xml:id="echoid-s2078" xml:space="preserve">Neminem quippe inficias ire arbitror, quòd permagna ſit delectatio <lb/>in horarum noctis depræhenſione, quam & </s> <s xml:id="echoid-s2079" xml:space="preserve">maximè ad Coſmogra-<lb/>phicæ. </s> <s xml:id="echoid-s2080" xml:space="preserve">cognitionem ſcire oportet. </s> <s xml:id="echoid-s2081" xml:space="preserve">Igitur de eius partibus dignoſcen-<lb/>dis, paucula quædam & </s> <s xml:id="echoid-s2082" xml:space="preserve">notatu digna adnectere propoſuimus.</s> <s xml:id="echoid-s2083" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div107" type="section" level="1" n="101"> <head xml:id="echoid-head110" style="it" xml:space="preserve">¶ Horam vſualem noctu ex radiis lunaribus mediante <lb/>Compaſſo propè verum cognoſcere.</head> <p> <s xml:id="echoid-s2084" xml:space="preserve">LVna radiante, aptabis Compaſſum (vt aſſolet) ſu-<lb/>per aliquo plano, ita, quòd lingulæ ſeu forcellulæ <lb/>correſpondeant: </s> <s xml:id="echoid-s2085" xml:space="preserve">deinde conſidera horam quam <lb/>vmbra fili palàm facit. </s> <s xml:id="echoid-s2086" xml:space="preserve">Poteris etiam, ſi placet, ex <lb/>alio quocunque ſiue verticali ſiue horizontali in-<lb/>ſtrumento, horam lunarem obſeruare: </s> <s xml:id="echoid-s2087" xml:space="preserve">cum qua in <lb/>tra rotulam ſequentem, & </s> <s xml:id="echoid-s2088" xml:space="preserve">quære conſimilem ho-<lb/>ram in horis dierum, hoc eſt, in ſuperiori ſemicirculo, ſuper quam ſta <lb/>tuatur index lunaris cum ſua linea fiduciæ, & </s> <s xml:id="echoid-s2089" xml:space="preserve">firmato indice, circun <lb/>uolue rotulam cum indice Solis, tam diu, donec eius linea fiduciæ <lb/>ſuper ætatem lunæ incidat. </s> <s xml:id="echoid-s2090" xml:space="preserve">Tunc enim in horario limbo, Solis in-<lb/>dex horam quæſitam oſtendit.</s> <s xml:id="echoid-s2091" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div108" type="section" level="1" n="102"> <head xml:id="echoid-head111" style="it" xml:space="preserve">¶ Aliter idem arithmetica ſupputatione indagare.</head> <p> <s xml:id="echoid-s2092" xml:space="preserve">COnſidera horam quam radius lunaris in Compaſſo, vel <lb/>quocunque inſtrumento ſcioterico demonſtrat, & </s> <s xml:id="echoid-s2093" xml:space="preserve">eam <lb/>ſerua. </s> <s xml:id="echoid-s2094" xml:space="preserve">Deinde multiplica ætatem lunæ cum. </s> <s xml:id="echoid-s2095" xml:space="preserve">12. </s> <s xml:id="echoid-s2096" xml:space="preserve">gra. </s> <s xml:id="echoid-s2097" xml:space="preserve">11. <lb/></s> <s xml:id="echoid-s2098" xml:space="preserve">minu. </s> <s xml:id="echoid-s2099" xml:space="preserve">& </s> <s xml:id="echoid-s2100" xml:space="preserve">quod exit, diuide per. </s> <s xml:id="echoid-s2101" xml:space="preserve">15. </s> <s xml:id="echoid-s2102" xml:space="preserve">quotientem iunge <lb/>cum horis prius ſeruatis, exit hora noctis quæſita.</s> <s xml:id="echoid-s2103" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div109" type="section" level="1" n="103"> <head xml:id="echoid-head112" style="it" xml:space="preserve">¶ Idem faciliori computo inueſtigare.</head> <p> <s xml:id="echoid-s2104" xml:space="preserve">DVc ætatem lunæ in. </s> <s xml:id="echoid-s2105" xml:space="preserve">731. </s> <s xml:id="echoid-s2106" xml:space="preserve">numerum, ex hac multiplicatione <lb/>procreatum, diuide per. </s> <s xml:id="echoid-s2107" xml:space="preserve">900. </s> <s xml:id="echoid-s2108" xml:space="preserve">quotiens oſtendit horas adden-<lb/>das, reſiduum diuide per. </s> <s xml:id="echoid-s2109" xml:space="preserve">15. </s> <s xml:id="echoid-s2110" xml:space="preserve">fient minuta horarum.</s> <s xml:id="echoid-s2111" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div110" type="section" level="1" n="104"> <head xml:id="echoid-head113" style="it" xml:space="preserve">¶ Sequitur inſtrumentum Noctis.</head> <pb o="Fo.49" file="103" n="103" rhead="APPENDIX."/> <figure> <image file="103-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/103-01"/> <caption xml:id="echoid-caption24" style="it" xml:space="preserve"><emph style="bf">Horænoctis.</emph><lb/><emph style="bf">Horædiei.</emph></caption> </figure> <pb file="104" n="104" rhead="APPENDIX."/> <p> <s xml:id="echoid-s2112" xml:space="preserve">OVo autem pacto per hoc organum noctu ho-<lb/>ræ æquales ex lunari radiatione abſque ætate <lb/>lunæ addiſcendæ ſint, paucis abſoluam. </s> <s xml:id="echoid-s2113" xml:space="preserve">Inue-<lb/>ſtigaturus igitur horam abſq; </s> <s xml:id="echoid-s2114" xml:space="preserve">lunæ ætatis con-<lb/>ſideratione, animaduerte diligenter Lunam in <lb/>cœlo lucentem, quanta ſit: </s> <s xml:id="echoid-s2115" xml:space="preserve">& </s> <s xml:id="echoid-s2116" xml:space="preserve">diligenti contem <lb/>platione aduertatur, an Solem præcedat, ſub-<lb/>ſequatúrve: </s> <s xml:id="echoid-s2117" xml:space="preserve">Quibus cognitis, ſtatuenda eſt re-<lb/>gula lunæ in limbo horario ſuper horã quam filum ipſum in Com-<lb/>paſſo oſtendebat: </s> <s xml:id="echoid-s2118" xml:space="preserve">Qua ſic permanente, volue rotulam Solis, doncc<unsure/> <lb/>luna in cius foramine, & </s> <s xml:id="echoid-s2119" xml:space="preserve">ea in quantitate videatur, qua in cœlo per <lb/>viſus contemplationem reperta fuerat. </s> <s xml:id="echoid-s2120" xml:space="preserve">Mox enim Solis index in <lb/>limbo horario oſtendit horam noctis quæſitam. </s> <s xml:id="echoid-s2121" xml:space="preserve">Dixi per viſus <lb/>contemplationem: </s> <s xml:id="echoid-s2122" xml:space="preserve">Luua quippe luminare minus & </s> <s xml:id="echoid-s2123" xml:space="preserve">noctis domi-<lb/>na, mutuato lumine quoad mundũ ſemper ſemiplena eſt, Illa enim <lb/>corporis lunæ medietas (quæ vergit ad Solem) aut parum plus, <lb/>propter ampliſſimam magnitudinem, à Sole irradiatur: </s> <s xml:id="echoid-s2124" xml:space="preserve">quia Sol <lb/>lunæ cæterisq́ue ſy deribus ſuum lumen fœnerat ac miniſtrat: </s> <s xml:id="echoid-s2125" xml:space="preserve">Reli-<lb/>qua verò medietas propter ſui corporis indiaphoneitatem, id eſt, <lb/>opacitatem perpetuò celipſatur. </s> <s xml:id="echoid-s2126" xml:space="preserve">Verùm quò ad noſtri <lb/> <anchor type="figure" xlink:label="fig-104-01a" xlink:href="fig-104-01"/> viſus coniectationem creſcit ac decreſcit: </s> <s xml:id="echoid-s2127" xml:space="preserve">quolibet e-<lb/>nim menſe conſecuto rio aut menſtruo, Luna ſemel So-<lb/>li cõiungitur: </s> <s xml:id="echoid-s2128" xml:space="preserve">Deinde poſt duodecim Zodiaci ſignorum <lb/>tranſgreſſum iterum cum Sole congreditur: </s> <s xml:id="echoid-s2129" xml:space="preserve">Igitur mutuata luminis <lb/>quantitate nobis indies aliter atque aliter apparet, in congreſſu verò <lb/>minimè, quia tune ſuperior pars Lunæ, quæ à nobis remota eſt, à <lb/>Phœbo eſt incenſa & </s> <s xml:id="echoid-s2130" xml:space="preserve">combuſta, pars inferior (quæ in ſequenti figu-<lb/>ratione nigro aut pullo colore depicta eſt) propter ſuam opacitatẽ. <lb/></s> <s xml:id="echoid-s2131" xml:space="preserve">denegat nobis ſplendorem lunæ: </s> <s xml:id="echoid-s2132" xml:space="preserve">Dein, quanto magis recedit à Sole, <lb/>tanto magis creſcit, vſq; </s> <s xml:id="echoid-s2133" xml:space="preserve">ad eius diametram radiationem, à qua iterũ <lb/>ad Phœbum congreſſum vertendo euaneſcit.</s> <s xml:id="echoid-s2134" xml:space="preserve"/> </p> <div xml:id="echoid-div110" type="float" level="2" n="1"> <figure xlink:label="fig-104-01" xlink:href="fig-104-01a"> <image file="104-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/104-01"/> </figure> </div> </div> <div xml:id="echoid-div112" type="section" level="1" n="105"> <head xml:id="echoid-head114" style="it" xml:space="preserve">REGVLA GENERALIS.</head> <p> <s xml:id="echoid-s2135" xml:space="preserve">LVna creſcens ſequitur Solem, & </s> <s xml:id="echoid-s2136" xml:space="preserve">ſtatim poſt oc-<lb/>caſum Solis ſupra horizonta apparet, & </s> <s xml:id="echoid-s2137" xml:space="preserve">pars il-<lb/>luminata vergit ad occidentem: </s> <s xml:id="echoid-s2138" xml:space="preserve">Luna verò de-<lb/>creſcens præcedit Solem, ſupra´que horizontem <lb/>matutino tempore apparet: </s> <s xml:id="echoid-s2139" xml:space="preserve">Eius quoque ſignum <lb/>eſt, ſi pars aduſta ad exortum dirigatur. </s> <s xml:id="echoid-s2140" xml:space="preserve">Semper <lb/>enim (vt paucis multa concludam) pars Lunæ <lb/>illuminata reſpicit Solem.</s> <s xml:id="echoid-s2141" xml:space="preserve"/> </p> <pb o="Fo.50." file="105" n="105" rhead="APPENDIX."/> <figure> <image file="105-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/105-01"/> <caption xml:id="echoid-caption25" xml:space="preserve">Luna creſcens<lb/>Congreſſus ſiue con-<lb/>iunctio Solis & Lunæ<lb/>Luma decreſcens<lb/>Diametra radiatio, ſiue op <lb/>poſitio Solis & Lunæ</caption> </figure> <pb file="106" n="106" rhead="APPENDIX."/> </div> <div xml:id="echoid-div113" type="section" level="1" n="106"> <head xml:id="echoid-head115" xml:space="preserve">Inſtrumentum ſiderale.</head> <p> <s xml:id="echoid-s2142" xml:space="preserve">QValiter ex ſtellarum fixarum motu, nocturno tem <lb/>pore horæ venandæ ſint, paucis abſoluam: </s> <s xml:id="echoid-s2143" xml:space="preserve">Fiat pri <lb/>mùm rotula parua cum manubrio in ſimilitudine <lb/>rotulæ ſequentis, quam diuide in vigintiquatuor <lb/>horarum ſpacia. </s> <s xml:id="echoid-s2144" xml:space="preserve">His perfectis, aptabis regulam ſeu <lb/>indicem in longitud. </s> <s xml:id="echoid-s2145" xml:space="preserve">tanta, vt à centro rotulȩ vltra <lb/>limbum protendatur. </s> <s xml:id="echoid-s2146" xml:space="preserve">Hanc itaq; </s> <s xml:id="echoid-s2147" xml:space="preserve">regulam pone ſu <lb/>per centrum rotulæ, & </s> <s xml:id="echoid-s2148" xml:space="preserve">fac vnum foramen rotundum, in quod mitta <lb/>tur clauus cum foramine rotundus, qui ambo conſtringat, ita vt in-<lb/>dex hac atque illac volui poſſit. </s> <s xml:id="echoid-s2149" xml:space="preserve">Vt patet in Figura ſequenti.</s> <s xml:id="echoid-s2150" xml:space="preserve"/> </p> <figure> <image file="106-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/106-01"/> </figure> </div> <div xml:id="echoid-div114" type="section" level="1" n="107"> <head xml:id="echoid-head116" style="it" xml:space="preserve">¶ Vſus huius Inſtrumenti.</head> <p> <s xml:id="echoid-s2151" xml:space="preserve">IN ſtellifera noctis claritate ſubleua rotulam cum manu<unsure/> <lb/>brio verſus ſeptẽtrionem, & </s> <s xml:id="echoid-s2152" xml:space="preserve">moue rotulam huc & </s> <s xml:id="echoid-s2153" xml:space="preserve">illuc, <lb/>donec radius viſualis ab oculo tuo per centrum inſtru-<lb/>menti ad ſtellam polarem tranſeat: </s> <s xml:id="echoid-s2154" xml:space="preserve">ſimiliter extra rotu-<lb/>lam idem radius ad extremas duas ſtellas maioris vrſæ ſeu rotas plau <lb/>ſtri protendatur, & </s> <s xml:id="echoid-s2155" xml:space="preserve">tam diu leua aut ſummitte indicem, donec eius <lb/>linea fiduciȩ ſuper radialem lineam incidat. </s> <s xml:id="echoid-s2156" xml:space="preserve">Tunc enim cõſidera ho-<lb/>ram limbi & </s> <s xml:id="echoid-s2157" xml:space="preserve">eius partem, quã regula abſcindit, cum qua intra figu-<lb/>ram præcedentẽ, hoc pacto: </s> <s xml:id="echoid-s2158" xml:space="preserve">Pone indicem maioris vrſæ ſiue plauſtri <lb/>ſuper horam iam inuentam, indice inuariato manẽte, ſituetur regula <lb/>Solis ſua fiduciæ linea ſuper diem tuæ conſiderationis, & </s> <s xml:id="echoid-s2159" xml:space="preserve">oſtendit in <lb/>inferiori parte limbi horam quæſitam, quam inuenire oportebat.</s> <s xml:id="echoid-s2160" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div115" type="section" level="1" n="108"> <head xml:id="echoid-head117" style="it" xml:space="preserve">¶ Libri de Geographicis principijs</head> <head xml:id="echoid-head118" style="it" xml:space="preserve">FINIS.</head> <pb o="Fo.51" file="107" n="107"/> </div> <div xml:id="echoid-div116" type="section" level="1" n="109"> <head xml:id="echoid-head119" xml:space="preserve">LIBELLVSDELO-<lb/>corum deſcribendorum ratione, Et de <lb/>eorum diſtantijs inueniendis, nunꝗ̃ antehac viſus. <lb/>PER GEMMAM FRISIVM.</head> <head xml:id="echoid-head120" style="it" xml:space="preserve">MAGNIFICO VIRO D. THOMÆ <lb/>Bombelli, Gemma Friſius S. D. P.</head> <p style="it"> <s xml:id="echoid-s2161" xml:space="preserve">NOn adeò nuper eſt, Magnifice vir, quòd ſemel hunc <lb/>librum amicorum impulſibus emendatũ ſic ſatis pro <lb/>eo tempore ſtudioſis reddiderim. </s> <s xml:id="echoid-s2162" xml:space="preserve">Qua ſanè in re neq; <lb/></s> <s xml:id="echoid-s2163" xml:space="preserve">oleum neq; </s> <s xml:id="echoid-s2164" xml:space="preserve">operã mihi perdidiſſe videor: </s> <s xml:id="echoid-s2165" xml:space="preserve">nam præter omnia ex-<lb/>emplaria, quæ id temporis excuſa ſunt, iam paßim alia deſyde <lb/>rantur. </s> <s xml:id="echoid-s2166" xml:space="preserve">Quanꝗ̃ laudem hanc non equidem iure mihi vc<unsure/>ndicare <lb/>poßim, ſed potius autorẽ ſpectet ſuum. </s> <s xml:id="echoid-s2167" xml:space="preserve">At nonnihil etiam nobis <lb/>cedet, ſi vetus exemplar cum noſtro conferatur, adde etiã niſi <lb/>noſtro impulſu factum fuiſſet, nunꝗ̃ in tam multorum manus <lb/>perueniſſet. </s> <s xml:id="echoid-s2168" xml:space="preserve">Iam verò vti ſtudioſorũ ſedulitati non deſim, deſy-<lb/>deratum à nõnullis librum, elimatis quæ tunc per oſcitantiam <lb/>(vt fit nonnunꝗ̃) mendis, penitus terſum, et ex omni parte ſuis <lb/>conſtantẽ partibus affero: </s> <s xml:id="echoid-s2169" xml:space="preserve">et quò gratior, imò vtilior ſit, adieci <lb/>nonnulla, quæ vt in hoc opere ad perfectionem artis deſyderari <lb/>poſſent, ita etiam à nemine antea (quòd ſciam equidẽ) eo modo <lb/>ad lucem perducta ſunt. </s> <s xml:id="echoid-s2170" xml:space="preserve">Quum aũt ita hodie ſint mores, ſi quis <lb/>quid facit in arte aliqua, hoc ſine patrono in publicum nõ pro-<lb/>deat, nulla hóneſta excuſatione prætermittere poſſum, quin hoc <lb/>noſtrũ quantulumcunq; </s> <s xml:id="echoid-s2171" xml:space="preserve">laboris tibi tuæq́ protectioni comman <lb/>dem: </s> <s xml:id="echoid-s2172" xml:space="preserve">et ſi ſcio te (vt es gloriæ minimè anidus) ægrè laturum, ſi <lb/>quis quocunq; </s> <s xml:id="echoid-s2173" xml:space="preserve">modo nomen tuum ſatis præter hoc clarũ laudi-<lb/>bus efferre velit. </s> <s xml:id="echoid-s2174" xml:space="preserve">Vincit enim me cùm in oẽs, tum verò maximè <lb/>in doctos tua humanitas, qua ſemper neq; </s> <s xml:id="echoid-s2175" xml:space="preserve">moleſtijs, neq; </s> <s xml:id="echoid-s2176" xml:space="preserve">impen <lb/>ſis parcens, eos promoues, & </s> <s xml:id="echoid-s2177" xml:space="preserve">tanquam Mecœnas alis & </s> <s xml:id="echoid-s2178" xml:space="preserve">foues. </s> <s xml:id="echoid-s2179" xml:space="preserve"><lb/>Gratus igitur ſit hic noſter exiguus conatus, quem pòſt <lb/>(ſi Dij fauent) maiora ſequentur. </s> <s xml:id="echoid-s2180" xml:space="preserve">Vale.</s> <s xml:id="echoid-s2181" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div117" type="section" level="1" n="110"> <head xml:id="echoid-head121" style="it" xml:space="preserve">Antuerpiæ prid. kal. Febr. Anno. 1533.</head> <pb file="108" n="108"/> </div> <div xml:id="echoid-div118" type="section" level="1" n="111"> <head xml:id="echoid-head122" xml:space="preserve">DE DESCRIPTIONE <lb/>regionis alicuius in plano, incognitis <lb/>latitudine, longitud. & diſtantia.</head> <head xml:id="echoid-head123" xml:space="preserve">CAP. I.</head> <p> <s xml:id="echoid-s2182" xml:space="preserve">NEgare profectò non poſſum, quin omnium <lb/>modorũ certiſſimus in hac re ſit is, qui per <lb/>longitudines ac latitudines locorum ince-<lb/>dit, poſtea autẽ is qui per latitudines & </s> <s xml:id="echoid-s2183" xml:space="preserve">an-<lb/>gulos poſitionis regiones deſcribit: </s> <s xml:id="echoid-s2184" xml:space="preserve">vltimo <lb/>verò loco qui per ſolos poſitionis angulos <lb/>agit. </s> <s xml:id="echoid-s2185" xml:space="preserve">Quem tamen modum hic primum po <lb/>nimus, eò quòd alijs facilior ſit & </s> <s xml:id="echoid-s2186" xml:space="preserve">vulgarior. <lb/></s> <s xml:id="echoid-s2187" xml:space="preserve">At non ineptè explicandum mihi videtur, quos hoc in loco angu-<lb/>los poſitionis appellemus. </s> <s xml:id="echoid-s2188" xml:space="preserve">Angulus igitur poſitionis hic vocatur <lb/>interſtitium horizontis alicuius loci inter meridianum eiuſdem & </s> <s xml:id="echoid-s2189" xml:space="preserve"><lb/>circulum verticalem ab hoc loco per alium procedentẽ. </s> <s xml:id="echoid-s2190" xml:space="preserve">Aut, vt fa-<lb/>cilius intelligas, diſtantia quæ eſt inter meridianum vel lineam du <lb/>ctam ad meridiem alicuius loci, & </s> <s xml:id="echoid-s2191" xml:space="preserve">lineã hinc per alium locũ tranſ-<lb/>euntem, vt patet in ſequẽti ſigura, vbi, a, b, eſt linea meridiana vel <lb/>ducta ad meridiem: </s> <s xml:id="echoid-s2192" xml:space="preserve">a, c, linea poſitionis vnius loci ab alio: </s> <s xml:id="echoid-s2193" xml:space="preserve">b, c, <lb/>hic nõ adeò propriè (fateor) angulũ poſitionis vocamus, ſed quum <lb/>hic tantũ requiratur, capiamus baſim, b, c, pro toto angulob, a, c.</s> <s xml:id="echoid-s2194" xml:space="preserve"/> </p> <figure> <image file="108-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/108-01"/> </figure> <p> <s xml:id="echoid-s2195" xml:space="preserve">COgnita finitione nominis, ſi per hunc modum Prouin <lb/>ciam aliquam, vel etiam totum regnum cum omnibus <lb/>Oppidis & </s> <s xml:id="echoid-s2196" xml:space="preserve">vicis etiam deſcribere volueris, primũ in <lb/>aſſere plano conſicc inſtrumentum tale, fiat circulus, <lb/>qui in quatu or quadrantes diſſecetur. </s> <s xml:id="echoid-s2197" xml:space="preserve">quadrante quo-<lb/>libet rurſus diuiſo (vt ſolet) in 90 gradus, poſtea affigatur per cen-<lb/>trum index cum perſpicillis aut pinnulis, quemadmodum in dorſo <lb/>aſtrolabij. </s> <s xml:id="echoid-s2198" xml:space="preserve">Hoc inſtrumento facto, opus erit etiam inſtrumẽto nau-<lb/>tico (quod Compaſſum appellamus) nam ab illo ferè tota res pen <lb/>det quibus habitis ita procedito: </s> <s xml:id="echoid-s2199" xml:space="preserve">Pone inſtrumentũ epipedometrũ <lb/>primũ in plano, & </s> <s xml:id="echoid-s2200" xml:space="preserve">ſuper ipſo Compaſſum, ita vt latus Cõpaſſi qua <pb o="Fo.52." file="109" n="109" rhead="REGIONVM DESCRIP."/> drangularis adiaceat lineȩ meridianȩ inſtrumenti inferioris. </s> <s xml:id="echoid-s2201" xml:space="preserve">Deinde <lb/>verte inſtrumentum cum compaſſo, eo vſq;</s> <s xml:id="echoid-s2202" xml:space="preserve">, quo index compaſſi cor <lb/>reſpondeat ſibi ſubſcripto indici, & </s> <s xml:id="echoid-s2203" xml:space="preserve">poſt hec inſtrumento ita manen <lb/>te, compaſſum tanquam perfunctum ſuo officio remoue. </s> <s xml:id="echoid-s2204" xml:space="preserve">Si nunc an <lb/>gulum poſitionis alterius loci à tuo ſcire velis, manente in ſtrumen-<lb/>to immoto, volue indicem donec per perſpicilla eius videas locum <lb/>alium, videbis mox angulum poſitionis à meridie vel Septentrione <lb/>ſecundum ipſius indicis remotionem ab eis. </s> <s xml:id="echoid-s2205" xml:space="preserve">Sed quorſum hæc? </s> <s xml:id="echoid-s2206" xml:space="preserve">ro-<lb/>get aliquis, etiam ſi habeam ab vno loco poſitiones vel ſitus omniũ <lb/>locorum, ſi non adſit diſtantia nota, nihil profuerit. </s> <s xml:id="echoid-s2207" xml:space="preserve">Verum dicis ab <lb/>vno loco, nam niſi à duobus locis habeas angulos poſitionum, non <lb/>poteris deſcribere tertium. </s> <s xml:id="echoid-s2208" xml:space="preserve">Igitur ſi nunc Prouinciam totam depin <lb/>gere placet, inueſtiga primum ab vno Oppido, à quo placet incipe-<lb/>re, omnium circumiacentium locorum @@tus, eosq́ue trahe in plano <lb/>deſeripto primum circulo ex vno puncto poſito ad libitum, eoq́ue <lb/>diuiſo in. </s> <s xml:id="echoid-s2209" xml:space="preserve">360. </s> <s xml:id="echoid-s2210" xml:space="preserve">gradus, vt eſt ipſum inſtrumentum epipedometrum, <lb/>& </s> <s xml:id="echoid-s2211" xml:space="preserve">cuique lineæ poſitionis adſigna ſuum nomen. </s> <s xml:id="echoid-s2212" xml:space="preserve">Vt autem euites <lb/>multam peregrinationem, aſcende turrim Oppidi altiſſimam, at que <lb/>inde quaſi è ſpecula circumſpice. </s> <s xml:id="echoid-s2213" xml:space="preserve">Poſt hæc proſiciſcere ad aliud op-<lb/>pidum, atque ibi ſimiliter agito cum angulis poſitionum omnium <lb/>circumiacentium locorum, quos vbi habueris, pone punctum iſtius <lb/>oppidi à priori puncto in quacunque velis diſtantia, ſuper tamen <lb/>ſua linea poſitionis, atque ex hoc puncto trahe circulum obſcurum, <lb/>& </s> <s xml:id="echoid-s2214" xml:space="preserve">meridianum diſtantem à priori meridiano vndique æqualiter. <lb/></s> <s xml:id="echoid-s2215" xml:space="preserve">Demum trahe ex hoc puncto lineas poſitionum locorũ iam inuen <lb/>tas, & </s> <s xml:id="echoid-s2216" xml:space="preserve">vbi tunc fit interſectio lineæ alicuius cum prioribus eiuſdem <lb/>loci, ibi notula ponenda eſt pro tali loco. </s> <s xml:id="echoid-s2217" xml:space="preserve">Haud diſſimili ratione a-<lb/>ges cum omnibus locis alicuius regni, proficiſcendo eo vſque donec <lb/>omnia quæ deſcribere decreuiſti, bis in tuum conſpectum venerint, <lb/>atque omnium duas lineas habeas poſitionum. </s> <s xml:id="echoid-s2218" xml:space="preserve">Exempli cauſa, de-<lb/>ſcribamus aliquot loca Brabantiæ, atque id quò facilius fiat, aſcen-<lb/>dendo turrim Antuerpiæ cum inſtrumentis, pono inſtrumentum ſe <lb/>cundum plagas mundi, & </s> <s xml:id="echoid-s2219" xml:space="preserve">video circunquaque quæcunque poſſum <lb/>loca. </s> <s xml:id="echoid-s2220" xml:space="preserve">Reperio autem Gandauum tendere ab Arctis. </s> <s xml:id="echoid-s2221" xml:space="preserve">80. </s> <s xml:id="echoid-s2222" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2223" xml:space="preserve">quaſi <lb/>in occidens, Liram ab ortu. </s> <s xml:id="echoid-s2224" xml:space="preserve">30. </s> <s xml:id="echoid-s2225" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2226" xml:space="preserve">in auſtrum declinare, Mechli-<lb/>niam. </s> <s xml:id="echoid-s2227" xml:space="preserve">8. </s> <s xml:id="echoid-s2228" xml:space="preserve">quaſi gradibus ab auſtro in occaſum, Louanium. </s> <s xml:id="echoid-s2229" xml:space="preserve">4. </s> <s xml:id="echoid-s2230" xml:space="preserve">ab auſtro <lb/>ad ortum, Bruxellas. </s> <s xml:id="echoid-s2231" xml:space="preserve">25. </s> <s xml:id="echoid-s2232" xml:space="preserve">ab auſtro in occaſum, Mittelburgum. </s> <s xml:id="echoid-s2233" xml:space="preserve">30. </s> <s xml:id="echoid-s2234" xml:space="preserve">ab <lb/>occaſu ad Arctos, Bergas. </s> <s xml:id="echoid-s2235" xml:space="preserve">20. </s> <s xml:id="echoid-s2236" xml:space="preserve">ab Arctis in occaſum. </s> <s xml:id="echoid-s2237" xml:space="preserve">Sintq́ue hæc loca <lb/>ſatis pro exemplo: </s> <s xml:id="echoid-s2238" xml:space="preserve">his habitis, pono punctum in medio plani alicu-<lb/>ius quod locum Antuerpiæ ſignificet, hinc duco circulum quem di <lb/>uido in. </s> <s xml:id="echoid-s2239" xml:space="preserve">4. </s> <s xml:id="echoid-s2240" xml:space="preserve">adſcriptis. </s> <s xml:id="echoid-s2241" xml:space="preserve">4. </s> <s xml:id="echoid-s2242" xml:space="preserve">plagis mundi, Oriens, Occidens, Meridies, Se-<lb/>ptentrio. </s> <s xml:id="echoid-s2243" xml:space="preserve">Quadrantem deinde quemlibet diuido in. </s> <s xml:id="echoid-s2244" xml:space="preserve">90. </s> <s xml:id="echoid-s2245" xml:space="preserve">partes, aut <lb/>f<unsure/>altem ſemicirculum in. </s> <s xml:id="echoid-s2246" xml:space="preserve">180. </s> <s xml:id="echoid-s2247" xml:space="preserve">gradus, poſthæc ex puncto duco cuique <lb/>locorum prædictorum lineam per ſuos gradus, & </s> <s xml:id="echoid-s2248" xml:space="preserve">relin quo ita char-<lb/>tam imperfectam cum lineis tantũ. </s> <s xml:id="echoid-s2249" xml:space="preserve">Et me cum inſtrumentis confe- <pb file="110" n="110" rhead="REGIONVM ET LOCO."/> <anchor type="figure" xlink:label="fig-110-01a" xlink:href="fig-110-01"/> ro Bruxellas, vbiiterum omniũ quȩ viſu adſequi poſſum locorũ li-<lb/>neas poſitionis quæro. </s> <s xml:id="echoid-s2250" xml:space="preserve">Inuenioq́; </s> <s xml:id="echoid-s2251" xml:space="preserve">Louaniũ ab ortu in meridiẽ ver-<lb/>gere quaſi. </s> <s xml:id="echoid-s2252" xml:space="preserve">14. </s> <s xml:id="echoid-s2253" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2254" xml:space="preserve">Mechliniã & </s> <s xml:id="echoid-s2255" xml:space="preserve">Lirã in vna linea quæ diſtat ab <lb/>ortu verſus Boreã. </s> <s xml:id="echoid-s2256" xml:space="preserve">47. </s> <s xml:id="echoid-s2257" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2258" xml:space="preserve">Gandauũ. </s> <s xml:id="echoid-s2259" xml:space="preserve">29. </s> <s xml:id="echoid-s2260" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2261" xml:space="preserve">ab Arctis ad oc-<lb/>caſum. </s> <s xml:id="echoid-s2262" xml:space="preserve">Mittelburgum. </s> <s xml:id="echoid-s2263" xml:space="preserve">33. </s> <s xml:id="echoid-s2264" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2265" xml:space="preserve">eodẽ ordine. </s> <s xml:id="echoid-s2266" xml:space="preserve">Bergas ab Arctis. </s> <s xml:id="echoid-s2267" xml:space="preserve">9. <lb/></s> <s xml:id="echoid-s2268" xml:space="preserve">gradib. </s> <s xml:id="echoid-s2269" xml:space="preserve">in ortũ declinare, ꝗ̃uis ex Bruxellis hæc poſteriora duo non <lb/>poſſunt viſu cõſpici, tamẽ adijcimus pro exemplo. </s> <s xml:id="echoid-s2270" xml:space="preserve">Neq; </s> <s xml:id="echoid-s2271" xml:space="preserve">volo quòd <lb/>quiſꝗ̃ puret me hic veras lineas poſitionũ aſſignare, ſed tantũ pro <lb/>declaratione cõminiſci. </s> <s xml:id="echoid-s2272" xml:space="preserve">Inuẽtis igitur hoc modo lineis poſitionũ, <pb o="Fo.53." file="111" n="111" rhead="RVM DESCRIPTIO."/> quæro in charta incepta lineã Bruxellæ, in qua pono punctũ diſtans <lb/>ab Antuerpia quantum mihi placet, ex hoc iterum puncto duco cir-<lb/>culum, quem ſeco primùm per meridianum diſtantem à Meridiano <lb/>Antuerpienſi, vt ſolent parallelæ lineæ: </s> <s xml:id="echoid-s2273" xml:space="preserve">ſimili modo diuido eum in <lb/>360. </s> <s xml:id="echoid-s2274" xml:space="preserve">gradus, adſcriptis quatuor plagis mundi, vt iam antè cum Ant-<lb/>uerpia egi. </s> <s xml:id="echoid-s2275" xml:space="preserve">Demum ex centro, quod iam Bruxellam ſignificat, duco <lb/>lineas poſitionum locorum præſciptorum, adijciendo regulam cen-<lb/>tro & </s> <s xml:id="echoid-s2276" xml:space="preserve">gradibus inuentis. </s> <s xml:id="echoid-s2277" xml:space="preserve">Vbi igitur nunc fit interſectio lineæ Loua-<lb/>nij cum priori quę ex Antuerpia ducitur, ibi eſt locus Louanij. </s> <s xml:id="echoid-s2278" xml:space="preserve">Atque <lb/>haud aliter inuenies omnium locorum p<unsure/>uncta. </s> <s xml:id="echoid-s2279" xml:space="preserve">Si verò contingat <lb/>(vt nonnunꝗ̃ vſu venit) quòd vtraque vice locus quiſpiam venerit <lb/>in medio inter duo loca principalia, ſiue primùm nota, tunc neceſſe <lb/>eſt tertia vice hunc locum ex tranſuerſo aſpicere. </s> <s xml:id="echoid-s2280" xml:space="preserve">Atque hoc modo <lb/>non opus erit omnia prouinciæ deſcribẽdæ loca peragrare, ſed tan-<lb/>tum videre: </s> <s xml:id="echoid-s2281" xml:space="preserve">fluuiorum verò & </s> <s xml:id="echoid-s2282" xml:space="preserve">littorum facile deſcriptis oppidis & </s> <s xml:id="echoid-s2283" xml:space="preserve"><lb/>vicis ſecundum ſuas hinc diſtantias, ortus & </s> <s xml:id="echoid-s2284" xml:space="preserve">exitus habebuntur.</s> <s xml:id="echoid-s2285" xml:space="preserve"/> </p> <div xml:id="echoid-div118" type="float" level="2" n="1"> <figure xlink:label="fig-110-01" xlink:href="fig-110-01a"> <image file="110-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/110-01"/> </figure> </div> </div> <div xml:id="echoid-div120" type="section" level="1" n="112"> <head xml:id="echoid-head124" style="it" xml:space="preserve">¶ Figura præcedens hæc demonſtrat ad oculum.</head> <p> <s xml:id="echoid-s2286" xml:space="preserve">HÆ C igitur deſcriptio & </s> <s xml:id="echoid-s2287" xml:space="preserve">facilis eſt, & </s> <s xml:id="echoid-s2288" xml:space="preserve">altero modo qui <lb/>per diſtantias operatur, certior: </s> <s xml:id="echoid-s2289" xml:space="preserve">nam illæ diſtantiæ ferè <lb/>incertę ſunt, cùm ob viarum atq; </s> <s xml:id="echoid-s2290" xml:space="preserve">itinerum flexionem & </s> <s xml:id="echoid-s2291" xml:space="preserve"><lb/>ambitum, tum ob miliarium inæqualitatem: </s> <s xml:id="echoid-s2292" xml:space="preserve">quẽ tamen <lb/>modũ paulò pòſt deſcribemꝰ, & </s> <s xml:id="echoid-s2293" xml:space="preserve">facilem etiã reddemus. </s> <s xml:id="echoid-s2294" xml:space="preserve">Nunc autem <lb/>ſi poſt deſcriptã hac ratione chartam placet in certas dimetiri diſtan <lb/>tias, (quod tamẽ mirũ videri poſſit, quũ hic nulla diſtantiæ habita ſit <lb/>ratio) inquire aliquorũ duorũ locorũ diſtantiã, aut per profectionẽ, <lb/>aut certius per modum quem poſtea docebimus. </s> <s xml:id="echoid-s2295" xml:space="preserve">Vt verbi gratia. </s> <s xml:id="echoid-s2296" xml:space="preserve">Vi-<lb/>deo inter Antuerpiam & </s> <s xml:id="echoid-s2297" xml:space="preserve">Mechliniam. </s> <s xml:id="echoid-s2298" xml:space="preserve">4. </s> <s xml:id="echoid-s2299" xml:space="preserve">eſſe miliaria parua. </s> <s xml:id="echoid-s2300" xml:space="preserve">Quare <lb/>ſpacium inter Antuerpiam & </s> <s xml:id="echoid-s2301" xml:space="preserve">Mechiliniã in charta diuido per 4. </s> <s xml:id="echoid-s2302" xml:space="preserve">Et <lb/>per has diuiſiones potes dimetiri omnia loca in charta deſ@ripta.</s> <s xml:id="echoid-s2303" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div121" type="section" level="1" n="113"> <head xml:id="echoid-head125" style="it" xml:space="preserve">¶ DE PINGENDA CHARTA, COGNI-<lb/>ta ſola diſtantia locorum. # Cap. 11.</head> <p> <s xml:id="echoid-s2304" xml:space="preserve">QVemadmodũ in præeedenti Cap. </s> <s xml:id="echoid-s2305" xml:space="preserve">oportuit vni-<lb/>uſcuiuſq; </s> <s xml:id="echoid-s2306" xml:space="preserve">loci duas habere lineas poſitionis, ita <lb/>hic cuiuſq; </s> <s xml:id="echoid-s2307" xml:space="preserve">loci à duobus alijs locis, diſtantias re-<lb/>ctas res ipſa requirit. </s> <s xml:id="echoid-s2308" xml:space="preserve">Datis igitur his, facilè ipſa <lb/>loca in chartam redigemus. </s> <s xml:id="echoid-s2309" xml:space="preserve">Primùm enim faci-<lb/>emus ſcalam miliarium ad libitum, ſcilicet diui-<lb/>dendo vnam lineam quæ habeat longitudinem <lb/>chartæ deſcribendæ, in tot miliaria quot regio deſcribenda ferè ha-<lb/>bet. </s> <s xml:id="echoid-s2310" xml:space="preserve">Deinde ponantur prima duo oppida aut loca ſecundum ſuam <lb/>diſtantiam ad libitum. </s> <s xml:id="echoid-s2311" xml:space="preserve">Pro tertio verò neceſſe erit cognoſcere di-<lb/>ſtantiam ab vtroque poſito. </s> <s xml:id="echoid-s2312" xml:space="preserve">Capta enim intra circinum ex ſcala di-<lb/>ſtantia tertij ab vno poſitorum, mittatur pes circini in locum cogni- <pb file="112" n="112" rhead="REGIONVM ET LOCO."/> tum, & </s> <s xml:id="echoid-s2313" xml:space="preserve">deſcribatur circulus obſcurus: </s> <s xml:id="echoid-s2314" xml:space="preserve">eadem ratione capiatur diſtan <lb/>tia per circinum ab altero loco, & </s> <s xml:id="echoid-s2315" xml:space="preserve">ſimili modo deſcribatur circulus <lb/>delebilis ex reliquo loco. </s> <s xml:id="echoid-s2316" xml:space="preserve">Hi igitur duo circuli aut ſe mutuo ſecant, <lb/>atque id ipſum in duobus punctis: </s> <s xml:id="echoid-s2317" xml:space="preserve">aut attingunt, id´q; </s> <s xml:id="echoid-s2318" xml:space="preserve">in puncto tan <lb/>tum. </s> <s xml:id="echoid-s2319" xml:space="preserve">Si ergo tantum attingunt in ipſo contactu, erit locus tertij op-<lb/>pidi, quem certius inuenies ducta linea recta ex centro vnius ad cen <lb/>trum alterius. </s> <s xml:id="echoid-s2320" xml:space="preserve">At ſi ſe ſecant circuli, tunc erit in altero duorum pun <lb/>ctorum. </s> <s xml:id="echoid-s2321" xml:space="preserve">Quod quidem cuilibet facile erit diſeernere, an ſcilicet decli <lb/>net oppidũ in dextram an ſiniſtrã. </s> <s xml:id="echoid-s2322" xml:space="preserve">Exemplũ cape in tabella ſequẽti. <lb/></s> <s xml:id="echoid-s2323" xml:space="preserve">Conſtruo primum ſcalam miliarium. </s> <s xml:id="echoid-s2324" xml:space="preserve">15. </s> <s xml:id="echoid-s2325" xml:space="preserve">quæ ſic a, b. </s> <s xml:id="echoid-s2326" xml:space="preserve">deinde pono pri <lb/>mum Antuerpiam Et cùm compertum ſit Mechliniam hinc diſtare <lb/>4. </s> <s xml:id="echoid-s2327" xml:space="preserve">miliaribus, diſtendo circinum in ſcala ſecundũ huiuſmodi diſtan-<lb/>tiam, & </s> <s xml:id="echoid-s2328" xml:space="preserve">poſito pede vno in puncto Antuerpiæ, facio altero pede no <lb/>tulam quæ ſit Mechlinia. </s> <s xml:id="echoid-s2329" xml:space="preserve">Poſtea vt ponas Bruxellam, accipe diſtan-<lb/>tiam eius ab Antuerpia quæ eſt. </s> <s xml:id="echoid-s2330" xml:space="preserve">7. </s> <s xml:id="echoid-s2331" xml:space="preserve">miliarium propter obliquitatẽ & </s> <s xml:id="echoid-s2332" xml:space="preserve"><lb/>poſito pede circini vno in loco Antuerpiæ, altero deſcribe circulum <lb/>vel arcũ obſcurũ qui ſit c, d, e. </s> <s xml:id="echoid-s2333" xml:space="preserve">Simili via cape. </s> <s xml:id="echoid-s2334" xml:space="preserve">4. </s> <s xml:id="echoid-s2335" xml:space="preserve">miliaria (nam tantũ <lb/>diſtat à Mechlinia) & </s> <s xml:id="echoid-s2336" xml:space="preserve">ex puncto Mechlinię deſcribe alium circulum <lb/>qui ſit f, g, h. </s> <s xml:id="echoid-s2337" xml:space="preserve">fit ergo hic interſectio duplex i, k. </s> <s xml:id="echoid-s2338" xml:space="preserve">Sed quum facile appa <lb/>reat Bruxellam magis tendere in occaſum ꝗ̃ Mechliniam ab Antuer <lb/>pia, accipio pro Bruxella punctum, i. </s> <s xml:id="echoid-s2339" xml:space="preserve">Non aliter facies de alijs locis. </s> <s xml:id="echoid-s2340" xml:space="preserve"><lb/>Vides igitur facilitatem huius artis, ſi ſemper & </s> <s xml:id="echoid-s2341" xml:space="preserve">in mari & </s> <s xml:id="echoid-s2342" xml:space="preserve">in terris <lb/>hæc diſtantia nobis in promptu eſſet. </s> <s xml:id="echoid-s2343" xml:space="preserve">Quod per præcedentem mo-<lb/>dum primi capitis & </s> <s xml:id="echoid-s2344" xml:space="preserve">in oceano & </s> <s xml:id="echoid-s2345" xml:space="preserve">inter montes æquè certum eſt, hic <lb/>vero minime. </s> <s xml:id="echoid-s2346" xml:space="preserve">Sed vide capitis ſequentis præcepta.</s> <s xml:id="echoid-s2347" xml:space="preserve"/> </p> <figure> <image file="112-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/112-01"/> </figure> <pb o="Fo.54." file="113" n="113" rhead="RVM DESCRIPTIO."/> </div> <div xml:id="echoid-div122" type="section" level="1" n="114"> <head xml:id="echoid-head126" style="it" xml:space="preserve">DE INVENIENDA VERA DISTAN <lb/>tia loci viſi quantumcunq{ue} etiam diſtet. Cap. III.</head> <p> <s xml:id="echoid-s2348" xml:space="preserve">SVperiori capite diximus, quomodo per diſtan-<lb/>tias locorum deſcribenda ſit charta. </s> <s xml:id="echoid-s2349" xml:space="preserve">Verũ quũ <lb/>omnino rectę diſtantię cognitione ad eam rem <lb/>opus ſit, videtur mihi opportunũ, ſi quid de hac <lb/>arte habeã, nũc adducere. </s> <s xml:id="echoid-s2350" xml:space="preserve">Viſa igitur turri alicu <lb/>ius Oppidi, ſi diſtantiã eius à te li<unsure/>bet inuenire, <lb/>potes primũ abſq; </s> <s xml:id="echoid-s2351" xml:space="preserve">aliquo ferè inſtrumento Ma <lb/>thematico hoc efficere. </s> <s xml:id="echoid-s2352" xml:space="preserve">Elige igitur tibi campũ <lb/>aliquem latũ, in quo poſſis huc & </s> <s xml:id="echoid-s2353" xml:space="preserve">illuc ire & </s> <s xml:id="echoid-s2354" xml:space="preserve">redire. </s> <s xml:id="echoid-s2355" xml:space="preserve">Et quãuis non <lb/>fuerit planus, nõ adeò refert. </s> <s xml:id="echoid-s2356" xml:space="preserve">Accede primùm ad turrim ex tuo lo-<lb/>co ad ſpaciũ notũ, ſcilicet ad pedes. </s> <s xml:id="echoid-s2357" xml:space="preserve">100. </s> <s xml:id="echoid-s2358" xml:space="preserve">vel. </s> <s xml:id="echoid-s2359" xml:space="preserve">200. </s> <s xml:id="echoid-s2360" xml:space="preserve">& </s> <s xml:id="echoid-s2361" xml:space="preserve">poſito ibi ſigno <lb/>aliquo erecto, quod facile à longe videri poſſit, recede ab eo in vtrũ <lb/>uis latus etiam ad certã diſtantiã, ſcilicet. </s> <s xml:id="echoid-s2362" xml:space="preserve">50. </s> <s xml:id="echoid-s2363" xml:space="preserve">vel. </s> <s xml:id="echoid-s2364" xml:space="preserve">100. </s> <s xml:id="echoid-s2365" xml:space="preserve">pedũ, atq; </s> <s xml:id="echoid-s2366" xml:space="preserve">hoc <lb/>ſe@undum rectum angulum à primo puncto, & </s> <s xml:id="echoid-s2367" xml:space="preserve">iterum in tali loco <lb/>pone ſignum aliquod erectum. </s> <s xml:id="echoid-s2368" xml:space="preserve">Quo facto redi ad primũ ſignum, <lb/>atq; </s> <s xml:id="echoid-s2369" xml:space="preserve">ab eo retrogredere ad certam etiam diſtantiã, quãtum ſcilicet <lb/>placet, ea ratione, vt vbi deſiſtas, ſignum primũ ſit directè intra vi-<lb/>ſum tuum & </s> <s xml:id="echoid-s2370" xml:space="preserve">turrim viſam, ibi´q; </s> <s xml:id="echoid-s2371" xml:space="preserve">poſito ſigno tertio, diuerte hinc <lb/>ſecundum rectum angulum in latus (vt prius) eò vſq;</s> <s xml:id="echoid-s2372" xml:space="preserve">, quò ſignum <lb/>ſecundum ſit inter viſum tuum & </s> <s xml:id="echoid-s2373" xml:space="preserve">turrim menſurandam Iam in ue <lb/>ſtiga aut per pedes, aut aliquod aliud genus menſuræ, diſtantiã pri <lb/>mi ſigni à ſecũdo, quę vocetur diſtantia prima. </s> <s xml:id="echoid-s2374" xml:space="preserve">Item diſtantiã tertij <lb/>à primo, quę ſit ſecunda: </s> <s xml:id="echoid-s2375" xml:space="preserve">demum interſtitium tertij à quarto, quod <lb/>ſit tertia diſtantia. </s> <s xml:id="echoid-s2376" xml:space="preserve">Subduc igitur primam à tertia, reſiduum ſit di-<lb/>uiſor, poſtea multiplica tertiam diſtantiam per ſecundam, produ-<lb/>ctum diuide per diuiſorem, quod ex partitione huiuſmodi proue-<lb/>nerit, oſtendet diſtantiam à ſigno tertio vſq; </s> <s xml:id="echoid-s2377" xml:space="preserve">ad turrim rectiſſimã. <lb/></s> <s xml:id="echoid-s2378" xml:space="preserve">Pro cuius declaratione vide ſequentem figuram, i<unsure/>bi a, turris eſt me <lb/>tienda. </s> <s xml:id="echoid-s2379" xml:space="preserve">b. </s> <s xml:id="echoid-s2380" xml:space="preserve">ſignum primum: </s> <s xml:id="echoid-s2381" xml:space="preserve">c, ſignum ſecundum diſtans orthogona <lb/>liter à primo per. </s> <s xml:id="echoid-s2382" xml:space="preserve">30. </s> <s xml:id="echoid-s2383" xml:space="preserve">pedes: </s> <s xml:id="echoid-s2384" xml:space="preserve">d, tertium ſignum diſtans in recta linea <lb/>retrorſum. </s> <s xml:id="echoid-s2385" xml:space="preserve">40. </s> <s xml:id="echoid-s2386" xml:space="preserve">pedes: </s> <s xml:id="echoid-s2387" xml:space="preserve">e, quartum ſignum in latus recedens & </s> <s xml:id="echoid-s2388" xml:space="preserve">in re-<lb/>cta linea ipſius ſigni ſecundi cum turri, diſtans à tertio 36. </s> <s xml:id="echoid-s2389" xml:space="preserve">pedibus, <lb/>Subduco. </s> <s xml:id="echoid-s2390" xml:space="preserve">30. </s> <s xml:id="echoid-s2391" xml:space="preserve">de. </s> <s xml:id="echoid-s2392" xml:space="preserve">36. </s> <s xml:id="echoid-s2393" xml:space="preserve">reſtant. </s> <s xml:id="echoid-s2394" xml:space="preserve">6. </s> <s xml:id="echoid-s2395" xml:space="preserve">poſt hæc duco in inuicẽ. </s> <s xml:id="echoid-s2396" xml:space="preserve">40. </s> <s xml:id="echoid-s2397" xml:space="preserve">&</s> <s xml:id="echoid-s2398" xml:space="preserve">. 36. </s> <s xml:id="echoid-s2399" xml:space="preserve">fiunt <lb/>1440. </s> <s xml:id="echoid-s2400" xml:space="preserve">productum hoc diuido per 6. </s> <s xml:id="echoid-s2401" xml:space="preserve">fiunt 240. </s> <s xml:id="echoid-s2402" xml:space="preserve">pedes, quæ eſt diſtan-<lb/>tia inter d, & </s> <s xml:id="echoid-s2403" xml:space="preserve">a, turrim.</s> <s xml:id="echoid-s2404" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2405" xml:space="preserve">Huius rei demonſtrationem ſi quis requirat Mathematicam, me <lb/>adeat nam in promptu habeo, quamuis hic nõ adijciam, neq; </s> <s xml:id="echoid-s2406" xml:space="preserve">enim <lb/>locus hic demonſtrationem, ſed in ſtructionem expoſtulat.</s> <s xml:id="echoid-s2407" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div123" type="section" level="1" n="115"> <head xml:id="echoid-head127" style="it" xml:space="preserve">¶ Cap. IIII. Docet idem per ſcalam Hypſome-<lb/>tram aut Geometricam inuenire.</head> <pb file="114" n="114" rhead="REGIONVM ET LOCO."/> <figure> <image file="114-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/114-01"/> </figure> <p> <s xml:id="echoid-s2408" xml:space="preserve">AD hanc rem opus erit inſtrumento <lb/>magnæ vtcunque quantitatis, nam <lb/>inter omnia inſtrumẽta Mathema <lb/>tica, maiora ſunt certiora, & </s> <s xml:id="echoid-s2409" xml:space="preserve">vſui <lb/>aptiora. </s> <s xml:id="echoid-s2410" xml:space="preserve">Verũ non erit neceſſe mihi <lb/>hic ſcalæ Geometricæ deſcriptionẽ <lb/>apponere, cùm vulgaris ſit & </s> <s xml:id="echoid-s2411" xml:space="preserve">cuiuis <lb/>nota. </s> <s xml:id="echoid-s2412" xml:space="preserve">Tantùm hoc ſatis erit dixiſſe, <lb/>quòd inſtrumentũ debeat eſſe, quale fere eſt dorſum Aſtro <lb/>labij, cum indice volubili, habẽs ab altero latere ex centro <lb/>inſtrumẽti pinnulã ferreã, qua ſuper baculo aut fuſte figi <lb/>poſſit. </s> <s xml:id="echoid-s2413" xml:space="preserve">Dimẽſurus igitur loci viſi diſtantiam quantumuis <lb/>longã, fige in campo vel agro baculum, 5. </s> <s xml:id="echoid-s2414" xml:space="preserve">vel 6. </s> <s xml:id="echoid-s2415" xml:space="preserve">pedũ. </s> <s xml:id="echoid-s2416" xml:space="preserve">Huic <lb/>ſuperimpone per pinnulam inſtrumentum pręſcriptum, <lb/>poſito´q; </s> <s xml:id="echoid-s2417" xml:space="preserve">indice ſuper linea diametrali ipſius inſtrumenti, <lb/>verte ipſum inſtrumentũ cum indice eouſq;</s> <s xml:id="echoid-s2418" xml:space="preserve">, quò per in-<lb/>dicis perſpicilla videas locũ dimetiendũ: </s> <s xml:id="echoid-s2419" xml:space="preserve">fixo itaq; </s> <s xml:id="echoid-s2420" xml:space="preserve">inſtru-<lb/>mẽto, verte indicem ad alterum diametrum tranſuerſum <lb/>(ipſum enim inſtrumentũ duobus diametris diſſectũ eſſe <lb/>debet) & </s> <s xml:id="echoid-s2421" xml:space="preserve">recede in latus ad eam partẽ quam index indicat <lb/>ad certam aliquam diſtantiã, quę quãtò maior fuerit, tan-<lb/>to certior erit operatio. </s> <s xml:id="echoid-s2422" xml:space="preserve">Hic iterum fige fuſtem vel bacu-<lb/>lum, cui ipſum inſtrumentũ per pinnulam primũ leuiter <lb/>impone, deinde indice poſito ſuper diametro tranſuerſo <lb/>ipſius inſtrumenti, verte inſtrumentum cum indice ſuper <lb/>linea ſua manente, quouſq; </s> <s xml:id="echoid-s2423" xml:space="preserve">per ipſius foramina priorem <lb/>baculum aſpicias ꝗ̃ rectiſſimè, atque ita ipſum inſtrumen <lb/>tum firmiter baculo affige. </s> <s xml:id="echoid-s2424" xml:space="preserve">Dehinc verte indicem, vt per <lb/>ipſius perſpicilla rem dimetiendã videas, atq; </s> <s xml:id="echoid-s2425" xml:space="preserve">hic diligen-<lb/>ter nota partes ſcalæ Geometricæ per ipſum indicẽ abſciſ <lb/>ſas, quas memoriæ vel tabellæ manda. </s> <s xml:id="echoid-s2426" xml:space="preserve">Quibus actis, ſi di-<lb/>ſtantiam inter duos baculos duxeris in omnes partes ſea-<lb/>læ, quæ ſunt ferè in omnibus. </s> <s xml:id="echoid-s2427" xml:space="preserve">12. </s> <s xml:id="echoid-s2428" xml:space="preserve">& </s> <s xml:id="echoid-s2429" xml:space="preserve">productum hinc nume <lb/>rum per partes ſcalę per indicẽ abſciſſas diuiſeris, prodibit <lb/>loci vera diſtantia. </s> <s xml:id="echoid-s2430" xml:space="preserve">Verbi gratia, ſit in ſequẽti figura locus <lb/>dimetiendus, a. </s> <s xml:id="echoid-s2431" xml:space="preserve">b, verò ſignum ſtationis primæ, à quo in latus ſecun-<lb/>dum angulum rectum diuerto ad c, vbi index abſcindit duas partes <lb/>ſcalæ. </s> <s xml:id="echoid-s2432" xml:space="preserve">Diſtantia verò inter b, & </s> <s xml:id="echoid-s2433" xml:space="preserve">c, ſit. </s> <s xml:id="echoid-s2434" xml:space="preserve">200. </s> <s xml:id="echoid-s2435" xml:space="preserve">pedũ. </s> <s xml:id="echoid-s2436" xml:space="preserve">Duco igitur. </s> <s xml:id="echoid-s2437" xml:space="preserve">200. </s> <s xml:id="echoid-s2438" xml:space="preserve">in. </s> <s xml:id="echoid-s2439" xml:space="preserve">12. <lb/></s> <s xml:id="echoid-s2440" xml:space="preserve">prodeunt. </s> <s xml:id="echoid-s2441" xml:space="preserve">2400. </s> <s xml:id="echoid-s2442" xml:space="preserve">quæ diuido per. </s> <s xml:id="echoid-s2443" xml:space="preserve">2. </s> <s xml:id="echoid-s2444" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s2445" xml:space="preserve">1200. </s> <s xml:id="echoid-s2446" xml:space="preserve">pedes inter 2, & </s> <s xml:id="echoid-s2447" xml:space="preserve">b, qui <lb/>ſunt. </s> <s xml:id="echoid-s2448" xml:space="preserve">240. </s> <s xml:id="echoid-s2449" xml:space="preserve">paſſus, vel ſtadium vnum &</s> <s xml:id="echoid-s2450" xml:space="preserve">. 115. </s> <s xml:id="echoid-s2451" xml:space="preserve">paſſus.</s> <s xml:id="echoid-s2452" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div124" type="section" level="1" n="116"> <head xml:id="echoid-head128" style="it" xml:space="preserve">¶ DVOBVS VEL TRIBVS VISIS LOCIS, <lb/>quomodo per angulos poſitionum rectæ eorum diſtantiæ ſint inuenien-<lb/>dæ, etiam ſi in nullo eorum præſens ſis. Et qua ratione facillimè <lb/>regio deſcribi poſsit ex ipſis, abſq; nautico Compaſſo, aut <lb/>line æ meridianæ obſeruatione. CAP. V.</head> <pb o="Fo.55." file="115" n="115" rhead="RVM DESCRIPTIO."/> <p> <s xml:id="echoid-s2453" xml:space="preserve">DIximus in principio de angulis poſiti-<lb/> <anchor type="figure" xlink:label="fig-115-01a" xlink:href="fig-115-01"/> onum, qua ſcilicet ratione per illos lo-<lb/>ca deſcribantur: </s> <s xml:id="echoid-s2454" xml:space="preserve">nunc quomodo per <lb/>eoſdẽ ex duabus ſtationibus trium vel <lb/>quatuor locorum, diſtantia vera ſit in <lb/>ueſtiganda, docebimus. </s> <s xml:id="echoid-s2455" xml:space="preserve">Repetatur igi-<lb/>tur inſtrumentum in principio deſcri-<lb/>ptum, cum quo dimẽſurus, accede cam <lb/>pum, atq; </s> <s xml:id="echoid-s2456" xml:space="preserve">ibi loca inſtrumentum, ita vt dimetiens ipſius reſpi <lb/>ciat aliquem locorum dimetiendorũ: </s> <s xml:id="echoid-s2457" xml:space="preserve">poſt hæc verte indicem <lb/>ad omnia loca quæ vis dimetiri, inſtrumento manente, & </s> <s xml:id="echoid-s2458" xml:space="preserve">ſin-<lb/>gulorum angulos poſitionum nota, hoc eſt, quotum gradum <lb/>inſtrumenti index demonſtret, dum ad ſingula loca dirigitur. <lb/></s> <s xml:id="echoid-s2459" xml:space="preserve">Similiter angulum poſitionis ſtationis ſecundæ, vel loci vbi <lb/>altera vice ſtare velis, atq; </s> <s xml:id="echoid-s2460" xml:space="preserve">eos in charta deſcribe, vel in tabula <lb/>plana. </s> <s xml:id="echoid-s2461" xml:space="preserve">Diuidendo ſcilicet circulum in plano per. </s> <s xml:id="echoid-s2462" xml:space="preserve">360. </s> <s xml:id="echoid-s2463" xml:space="preserve">partes <lb/>ſiue gradus, & </s> <s xml:id="echoid-s2464" xml:space="preserve">ex centro ipſo per gradus ducendo angulos po-<lb/>ſitionum. </s> <s xml:id="echoid-s2465" xml:space="preserve">Prioris ſtationis loco ſignato, recede in latus quan-<lb/>tum placet, ſcilicet ad. </s> <s xml:id="echoid-s2466" xml:space="preserve">300. </s> <s xml:id="echoid-s2467" xml:space="preserve">pedes, aut plus, in linea tamen an-<lb/>guli poſitionis viſi, atq; </s> <s xml:id="echoid-s2468" xml:space="preserve">ibi rurſus locato inſtrumẽto, vt dime-<lb/>tiens ſiue linea meridiana inſtrumenti reſpiciat locum ſtatio-<lb/>nis prioris, vide reliquorum locorum angulos poſitionis. </s> <s xml:id="echoid-s2469" xml:space="preserve">His <lb/>habitis quære angulũ poſitionis ipſius ſtationis ſecundæ à pri <lb/>ma, & </s> <s xml:id="echoid-s2470" xml:space="preserve">ex centro circuli duc lineã per gradus poſitionũ exten-<lb/>ſam quantũ placet. </s> <s xml:id="echoid-s2471" xml:space="preserve">In hac igitur pone centrũ ſtationis ſecun-<lb/>dæ à primo quantũ placet, atq; </s> <s xml:id="echoid-s2472" xml:space="preserve">ex eo duc circulum. </s> <s xml:id="echoid-s2473" xml:space="preserve">Deinde di <lb/>uide ſimiliter hunc circulum in. </s> <s xml:id="echoid-s2474" xml:space="preserve">360. </s> <s xml:id="echoid-s2475" xml:space="preserve">partes, ſumpto exordio <lb/>à linea poſitionis quæ hic eſt dimetiẽs, poſtremò trahe lineas <lb/>poſitionum locorum metiendorum, quemadmodũ per inſtru <lb/>mentum expertus es in plano, quę facient interſectiones cum <lb/>prioribus. </s> <s xml:id="echoid-s2476" xml:space="preserve">Vbi verò ſimilis ſimilẽ ſecat, ibi locus erit eius loci <lb/>cuius eſt linea. </s> <s xml:id="echoid-s2477" xml:space="preserve">Voco aũt ſimiles lineas quæ ſunt eiuſdem loci, <lb/>ſed in diuerſas partes ductæ. </s> <s xml:id="echoid-s2478" xml:space="preserve">Iam verò vide, quot ſint pedes <lb/>vel paſſus inter ſtationẽ primam & </s> <s xml:id="echoid-s2479" xml:space="preserve">ſecundam. </s> <s xml:id="echoid-s2480" xml:space="preserve">Ex qua inter-<lb/>capedine reliquorum locorum diſtantias ſic inuenies. </s> <s xml:id="echoid-s2481" xml:space="preserve">Diuide <lb/>lineam quę eſt à centro circuli primo ad reliquũ, in tot partes <lb/>quot vis, & </s> <s xml:id="echoid-s2482" xml:space="preserve">per huiuſinodi partes dimetire lineas inter quęuis <lb/>loca deſignata. </s> <s xml:id="echoid-s2483" xml:space="preserve">Poſtea duc partes tales quæ ſunt inter duas ſectiones <lb/>vel loca, in diſtantiam duarum ſtationũ: </s> <s xml:id="echoid-s2484" xml:space="preserve">productũ diuide per partes <lb/>quæ ſunt inter duo centra, prodibit talium duorum locorum vera di <lb/>ſtantia. </s> <s xml:id="echoid-s2485" xml:space="preserve">Simili ratione ages cum alijs. </s> <s xml:id="echoid-s2486" xml:space="preserve">Sed cùm obſcurius paulò dixe <lb/>rim, declarabo idem per figuram. </s> <s xml:id="echoid-s2487" xml:space="preserve">Sint tria loca, a, b, & </s> <s xml:id="echoid-s2488" xml:space="preserve">c: </s> <s xml:id="echoid-s2489" xml:space="preserve">volo eorum <lb/>ab inuicem diſtantiam metiri, ita vt non opus ſit mihi accedere ali-<lb/>quem eorum. </s> <s xml:id="echoid-s2490" xml:space="preserve">Pono igitur inſtrumentum meum in loco, d, vbi ego <pb file="116" n="116" rhead="REGIONVM ET LOCO."/> ſum, ita vt dimetiens ſiue linea meridiana inſtrumẽti vergat ad c, nul <lb/>la ſcilicet habita cœli aut plagarum ratione. </s> <s xml:id="echoid-s2491" xml:space="preserve">deinde video, voluendo <lb/>indicem, angulos poſitionum ipſius a, & </s> <s xml:id="echoid-s2492" xml:space="preserve">b, & </s> <s xml:id="echoid-s2493" xml:space="preserve">ſimul verſus e, vbi erit <lb/>ſtatio mea ſecunda. </s> <s xml:id="echoid-s2494" xml:space="preserve">Sint autẽ inter c, & </s> <s xml:id="echoid-s2495" xml:space="preserve">a, 20. </s> <s xml:id="echoid-s2496" xml:space="preserve">gra. </s> <s xml:id="echoid-s2497" xml:space="preserve">item c, & </s> <s xml:id="echoid-s2498" xml:space="preserve">b. </s> <s xml:id="echoid-s2499" xml:space="preserve">40. </s> <s xml:id="echoid-s2500" xml:space="preserve">Item <lb/>à linea c, d, ad, e. </s> <s xml:id="echoid-s2501" xml:space="preserve">110. </s> <s xml:id="echoid-s2502" xml:space="preserve">gra. </s> <s xml:id="echoid-s2503" xml:space="preserve">Deſcribo ergo in tabella plana circulum, cu-<lb/>ius centrum ſit d, dimetiens c, d: </s> <s xml:id="echoid-s2504" xml:space="preserve">hunc diuido in. </s> <s xml:id="echoid-s2505" xml:space="preserve">360. </s> <s xml:id="echoid-s2506" xml:space="preserve">partes (vt ſolet) <lb/>& </s> <s xml:id="echoid-s2507" xml:space="preserve">deinde numero ex c, d. </s> <s xml:id="echoid-s2508" xml:space="preserve">20. </s> <s xml:id="echoid-s2509" xml:space="preserve">grad. </s> <s xml:id="echoid-s2510" xml:space="preserve">per quos duco lineam d, f. </s> <s xml:id="echoid-s2511" xml:space="preserve">reſpon-<lb/>det autem, f, ipſi a. </s> <s xml:id="echoid-s2512" xml:space="preserve">Item computo ex c, d, verſus eandem partem. </s> <s xml:id="echoid-s2513" xml:space="preserve">40. <lb/></s> <s xml:id="echoid-s2514" xml:space="preserve">grad. </s> <s xml:id="echoid-s2515" xml:space="preserve">pro ipſo, b, duco´que lineam, d, g. </s> <s xml:id="echoid-s2516" xml:space="preserve">Poſtremò numero. </s> <s xml:id="echoid-s2517" xml:space="preserve">110. </s> <s xml:id="echoid-s2518" xml:space="preserve">gra. </s> <s xml:id="echoid-s2519" xml:space="preserve">pro <lb/>ſecunda ſtatione, per quos deſcribo lineam, d, h. </s> <s xml:id="echoid-s2520" xml:space="preserve">In hac linea pono a-<lb/>liud centrum diſtans à priori quantum libet, quod ſit, e. </s> <s xml:id="echoid-s2521" xml:space="preserve">hinc deſcribo <lb/>circulum ex, e. </s> <s xml:id="echoid-s2522" xml:space="preserve">quẽ diuido in. </s> <s xml:id="echoid-s2523" xml:space="preserve">360. </s> <s xml:id="echoid-s2524" xml:space="preserve">gra. </s> <s xml:id="echoid-s2525" xml:space="preserve">incipiens à linea d, e, k. </s> <s xml:id="echoid-s2526" xml:space="preserve">Dimiſſa <lb/>nunc ſtatione priori ſignata, pergo in latus, ſecundum lineam viſam <lb/>prius, ad. </s> <s xml:id="echoid-s2527" xml:space="preserve">300. </s> <s xml:id="echoid-s2528" xml:space="preserve">pedes, atque hic iterum figo inſtrumentum, ita vt dime <lb/>tiens ipſius reſpiciat ſignum ſtationis prioris, deinde reſpicio ipſum <lb/> <anchor type="figure" xlink:label="fig-116-01a" xlink:href="fig-116-01"/> <pb o="Fo.56." file="117" n="117" rhead="RVM DESCRIPTIO."/> c, quod declinat à linea media. </s> <s xml:id="echoid-s2529" xml:space="preserve">40. </s> <s xml:id="echoid-s2530" xml:space="preserve">grad. </s> <s xml:id="echoid-s2531" xml:space="preserve">ipſum, a. </s> <s xml:id="echoid-s2532" xml:space="preserve">60. </s> <s xml:id="echoid-s2533" xml:space="preserve">demùm b 75. </s> <s xml:id="echoid-s2534" xml:space="preserve">Nu <lb/>mero igitur hos gradus in circulo ſecundo in plano deſcripto ex, e, <lb/>centro: </s> <s xml:id="echoid-s2535" xml:space="preserve">& </s> <s xml:id="echoid-s2536" xml:space="preserve">per eos duco ex, e, lineas, quæ ſecabunt priores. </s> <s xml:id="echoid-s2537" xml:space="preserve">Notandum <lb/>igitur eſt, quæ lineæ ſint eiuſdem loci, nam vbi ſe mutuo ſecant, ibi <lb/>eſt punctus eius loci. </s> <s xml:id="echoid-s2538" xml:space="preserve">Diuido nunc per circinum lineam, d, e. </s> <s xml:id="echoid-s2539" xml:space="preserve">in. </s> <s xml:id="echoid-s2540" xml:space="preserve">10. <lb/></s> <s xml:id="echoid-s2541" xml:space="preserve">partes, per quas dimetior diſtantias inter duas quaſque ſectiones ſiue <lb/>puncta locorum, & </s> <s xml:id="echoid-s2542" xml:space="preserve">quot de huiuſmodi partibus continent, multi-<lb/>plico per. </s> <s xml:id="echoid-s2543" xml:space="preserve">300. </s> <s xml:id="echoid-s2544" xml:space="preserve">productum rurſus diuido per. </s> <s xml:id="echoid-s2545" xml:space="preserve">10. </s> <s xml:id="echoid-s2546" xml:space="preserve">& </s> <s xml:id="echoid-s2547" xml:space="preserve">apparet mihi ta-<lb/>lium duorum locorum vera diſtantia. </s> <s xml:id="echoid-s2548" xml:space="preserve">Vt quoniã inter ipſum, a, & </s> <s xml:id="echoid-s2549" xml:space="preserve">c, <lb/>ſunt. </s> <s xml:id="echoid-s2550" xml:space="preserve">6. </s> <s xml:id="echoid-s2551" xml:space="preserve">partes huiuſinodi, dico per regulam proportionum. </s> <s xml:id="echoid-s2552" xml:space="preserve">10. </s> <s xml:id="echoid-s2553" xml:space="preserve">dant <lb/>300. </s> <s xml:id="echoid-s2554" xml:space="preserve">quantum dant. </s> <s xml:id="echoid-s2555" xml:space="preserve">6. </s> <s xml:id="echoid-s2556" xml:space="preserve">facit 180. </s> <s xml:id="echoid-s2557" xml:space="preserve">quæ eſt diſtãtia recta inter, a, c. </s> <s xml:id="echoid-s2558" xml:space="preserve">Eadẽ <lb/>ratione licet ſcire diſtantias d.</s> <s xml:id="echoid-s2559" xml:space="preserve">c. </s> <s xml:id="echoid-s2560" xml:space="preserve">| d.</s> <s xml:id="echoid-s2561" xml:space="preserve">a. </s> <s xml:id="echoid-s2562" xml:space="preserve">| d.</s> <s xml:id="echoid-s2563" xml:space="preserve">b. </s> <s xml:id="echoid-s2564" xml:space="preserve">| a.</s> <s xml:id="echoid-s2565" xml:space="preserve">b. </s> <s xml:id="echoid-s2566" xml:space="preserve">| c.</s> <s xml:id="echoid-s2567" xml:space="preserve">b. </s> <s xml:id="echoid-s2568" xml:space="preserve">| e.</s> <s xml:id="echoid-s2569" xml:space="preserve">c. </s> <s xml:id="echoid-s2570" xml:space="preserve">| e.</s> <s xml:id="echoid-s2571" xml:space="preserve">a. </s> <s xml:id="echoid-s2572" xml:space="preserve">& </s> <s xml:id="echoid-s2573" xml:space="preserve">e.</s> <s xml:id="echoid-s2574" xml:space="preserve">g.</s> <s xml:id="echoid-s2575" xml:space="preserve">| <lb/>Atq; </s> <s xml:id="echoid-s2576" xml:space="preserve">hic eſt tertius modus deſcribendi regiones longè omniũ facil-<lb/>limus, quia tantum opus eſt circulo diuiſo in 360. </s> <s xml:id="echoid-s2577" xml:space="preserve">partes cum indice. </s> <s xml:id="echoid-s2578" xml:space="preserve"><lb/>Neque alicuius alterius rei, nempe Compaſſus, Meridiei, Latitudinis <lb/>Longitutinis aut diſtantiæ regionũ vſus aut opera requiritur. </s> <s xml:id="echoid-s2579" xml:space="preserve">Præ-<lb/>terea adeò certus eſt, vt in regione. </s> <s xml:id="echoid-s2580" xml:space="preserve">50. </s> <s xml:id="echoid-s2581" xml:space="preserve">aut. </s> <s xml:id="echoid-s2582" xml:space="preserve">60. </s> <s xml:id="echoid-s2583" xml:space="preserve">aut. </s> <s xml:id="echoid-s2584" xml:space="preserve">100. </s> <s xml:id="echoid-s2585" xml:space="preserve">etiã miliarium <lb/>Germanicorum nullam quiſquã percepturus ſit erroris notã. </s> <s xml:id="echoid-s2586" xml:space="preserve">Obſer <lb/>uandum aũt, vt ſingula regionis loca bis in conſpectum veniant, ſem <lb/>per´que dum aliò te confers, inſtrumẽti diameter ad locum dirigatur <lb/>quẽ antea perluſtraſti, aut quẽ velis mox accedere. </s> <s xml:id="echoid-s2587" xml:space="preserve">Sic´q; </s> <s xml:id="echoid-s2588" xml:space="preserve">ſingulas vr-<lb/>bes, vicos, pagos, turres, domos, alia´que inſcribere (ſi libet) poteris. </s> <s xml:id="echoid-s2589" xml:space="preserve"><lb/>Quemadmodum nos in præcedenti figura depinximus ob oculos.</s> <s xml:id="echoid-s2590" xml:space="preserve"/> </p> <div xml:id="echoid-div124" type="float" level="2" n="1"> <figure xlink:label="fig-115-01" xlink:href="fig-115-01a"> <image file="115-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/115-01"/> </figure> <figure xlink:label="fig-116-01" xlink:href="fig-116-01a"> <image file="116-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/116-01"/> </figure> </div> </div> <div xml:id="echoid-div126" type="section" level="1" n="117"> <head xml:id="echoid-head129" style="it" xml:space="preserve">¶ QVARTVS MODVS PER DISTAN-<lb/>tiam & angulum poſitionis. CAP. VI.</head> <p> <s xml:id="echoid-s2591" xml:space="preserve">HIc modus omnino etiam facilis eſt, niſi qaòd dua-<lb/>rum rerum cognitione ſit opus. </s> <s xml:id="echoid-s2592" xml:space="preserve">Q@ibus per præ-<lb/>cedentia cognitis, ponatur primus locus in char-<lb/>ta ſecundum rei exigentiam, hoc eſt, ſi ſit medius <lb/>regionis, ponatur in medio chartæ: </s> <s xml:id="echoid-s2593" xml:space="preserve">ſin aliter, ſe-<lb/>cundũ hoc ſtatuatur. </s> <s xml:id="echoid-s2594" xml:space="preserve">Ex hoc igitur centro deſcii-<lb/>batur circulus diuiſus in. </s> <s xml:id="echoid-s2595" xml:space="preserve">360. </s> <s xml:id="echoid-s2596" xml:space="preserve">gradus poſitionum, <lb/>quo facto ducantur lineæ poſitionum circumiacentium locorũ ex <lb/>centro, quemadmodum paulò antè expoſuimus. </s> <s xml:id="echoid-s2597" xml:space="preserve">Poſt hæc deſcriba-<lb/>tur ſcala miliarium pro magnitudine chartæ & </s> <s xml:id="echoid-s2598" xml:space="preserve">regionis deſcribendę. <lb/></s> <s xml:id="echoid-s2599" xml:space="preserve">Ex hac ſcala capiatur cuiuſque loci diſtantia, & </s> <s xml:id="echoid-s2600" xml:space="preserve">poſito vno pede cir-<lb/>cini in centro, altero fiat punctũ pro tali loco. </s> <s xml:id="echoid-s2601" xml:space="preserve">Si nunc libet pergere, <lb/>Accede vnũ locorũ prius deſcriptorum, atq; </s> <s xml:id="echoid-s2602" xml:space="preserve">inde rurſus accipe alio-<lb/>rum angulos poſitionũ & </s> <s xml:id="echoid-s2603" xml:space="preserve">diſtantias. </s> <s xml:id="echoid-s2604" xml:space="preserve">Et alio circulo in charta deſcri-<lb/>pto circa punctũ huius loci, deſcribe diametrũ eius, qui quidẽ reſpon <lb/>det Auſtro & </s> <s xml:id="echoid-s2605" xml:space="preserve">Aquiloni, ita vt ſit parallela diametro prioris, aut ea-<lb/>dem continua, ſi ſit in eadẽ linea meridiana: </s> <s xml:id="echoid-s2606" xml:space="preserve">deinde circulo diuiſo vt <lb/>prius, age cũ lineis poſitionũ & </s> <s xml:id="echoid-s2607" xml:space="preserve">diſtantijs circũiacentiũ, vt iam docui <pb file="118" n="118" rhead="REGIONVM ET LOCO."/> mus. </s> <s xml:id="echoid-s2608" xml:space="preserve">Exemplo breui rem facilem dabo. </s> <s xml:id="echoid-s2609" xml:space="preserve">Sit primus locus, a. </s> <s xml:id="echoid-s2610" xml:space="preserve">circum-<lb/>iacentia, b. </s> <s xml:id="echoid-s2611" xml:space="preserve">c. </s> <s xml:id="echoid-s2612" xml:space="preserve">d. </s> <s xml:id="echoid-s2613" xml:space="preserve">declinat. </s> <s xml:id="echoid-s2614" xml:space="preserve">b. </s> <s xml:id="echoid-s2615" xml:space="preserve">ab auſtro in occaſum. </s> <s xml:id="echoid-s2616" xml:space="preserve">30. </s> <s xml:id="echoid-s2617" xml:space="preserve">c. </s> <s xml:id="echoid-s2618" xml:space="preserve">ab occaſu in <lb/>aquilonem. </s> <s xml:id="echoid-s2619" xml:space="preserve">20. </s> <s xml:id="echoid-s2620" xml:space="preserve">d. </s> <s xml:id="echoid-s2621" xml:space="preserve">ab ortu in auſtrum. </s> <s xml:id="echoid-s2622" xml:space="preserve">10. </s> <s xml:id="echoid-s2623" xml:space="preserve">gradibus. </s> <s xml:id="echoid-s2624" xml:space="preserve">Item diſtat, b. </s> <s xml:id="echoid-s2625" xml:space="preserve">3. <lb/></s> <s xml:id="echoid-s2626" xml:space="preserve">miliarib. </s> <s xml:id="echoid-s2627" xml:space="preserve">c, 4. </s> <s xml:id="echoid-s2628" xml:space="preserve">d, 5. </s> <s xml:id="echoid-s2629" xml:space="preserve">ab ipſo a. </s> <s xml:id="echoid-s2630" xml:space="preserve">Deſcribo igitur circa a, circulum, quem <lb/>diuido in. </s> <s xml:id="echoid-s2631" xml:space="preserve">360. </s> <s xml:id="echoid-s2632" xml:space="preserve">gradus: </s> <s xml:id="echoid-s2633" xml:space="preserve">deinde duco lineas, b. </s> <s xml:id="echoid-s2634" xml:space="preserve">c. </s> <s xml:id="echoid-s2635" xml:space="preserve">& </s> <s xml:id="echoid-s2636" xml:space="preserve">d. </s> <s xml:id="echoid-s2637" xml:space="preserve">ſecundum ſuos <lb/>angulos poſitionum ab, a. </s> <s xml:id="echoid-s2638" xml:space="preserve">quo facto, capio ex ſcala miliarium mili-<lb/>aria cuiuſq; </s> <s xml:id="echoid-s2639" xml:space="preserve">loci, & </s> <s xml:id="echoid-s2640" xml:space="preserve">facio punctũ in ſua linea nunc pergo ad ipſum <lb/>d. </s> <s xml:id="echoid-s2641" xml:space="preserve">cui circumiacent, e, & </s> <s xml:id="echoid-s2642" xml:space="preserve">f. </s> <s xml:id="echoid-s2643" xml:space="preserve">ipſum, e. </s> <s xml:id="echoid-s2644" xml:space="preserve">declinans ab ortu in occaſum. </s> <s xml:id="echoid-s2645" xml:space="preserve">20. </s> <s xml:id="echoid-s2646" xml:space="preserve"><lb/>partibus, f. </s> <s xml:id="echoid-s2647" xml:space="preserve">verò tantundem ab auſtro in occaſum. </s> <s xml:id="echoid-s2648" xml:space="preserve">Item diſtat, e. </s> <s xml:id="echoid-s2649" xml:space="preserve">6. </s> <s xml:id="echoid-s2650" xml:space="preserve"><lb/>miliaribus, f. </s> <s xml:id="echoid-s2651" xml:space="preserve">autem. </s> <s xml:id="echoid-s2652" xml:space="preserve">7. </s> <s xml:id="echoid-s2653" xml:space="preserve">ab ipſo d. </s> <s xml:id="echoid-s2654" xml:space="preserve">Deſcribo ergo circa, d. </s> <s xml:id="echoid-s2655" xml:space="preserve">alium circu-<lb/>lum, cuius diametrum, g. </s> <s xml:id="echoid-s2656" xml:space="preserve">h. </s> <s xml:id="echoid-s2657" xml:space="preserve">duco parallelam priori, a. </s> <s xml:id="echoid-s2658" xml:space="preserve">h. </s> <s xml:id="echoid-s2659" xml:space="preserve">Diuiſo de <lb/>hinc circulo in. </s> <s xml:id="echoid-s2660" xml:space="preserve">360. </s> <s xml:id="echoid-s2661" xml:space="preserve">duco lineas poſitionum, e. </s> <s xml:id="echoid-s2662" xml:space="preserve">& </s> <s xml:id="echoid-s2663" xml:space="preserve">f, poſtremò capio <lb/>diſtantias ex ſcala miliariũ, atq; </s> <s xml:id="echoid-s2664" xml:space="preserve">eas in ſuis lineis deſigno. </s> <s xml:id="echoid-s2665" xml:space="preserve">Quod verò <lb/>de Meridiani obſeruatione dixi, poteſt ex capite præcedenti facilius <lb/>fieri, abſq; </s> <s xml:id="echoid-s2666" xml:space="preserve">Compaſſus aut Meridiei obſeruatione.</s> <s xml:id="echoid-s2667" xml:space="preserve"/> </p> <figure> <image file="118-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/118-01"/> </figure> <pb o="Fo.57." file="119" n="119" rhead="RVM DESCRITIO."/> </div> <div xml:id="echoid-div127" type="section" level="1" n="118"> <head xml:id="echoid-head130" style="it" xml:space="preserve">DE LONGITV DINIS DIFFEREN-<lb/>tia cognoſcenda ex latitudinis differentia & <lb/>recta diſtantia. Cap. VII.</head> <p> <s xml:id="echoid-s2668" xml:space="preserve">QVoniam latitudinũ inuentio facillima eſt, lon <lb/>gitudinum vero difficillima, placuit hunc mo <lb/>dum pro Coſmographię ſtudioſis ad calcẽ li-<lb/>bri ſubiũgere. </s> <s xml:id="echoid-s2669" xml:space="preserve">Subducta ergo latitudine vnius <lb/>loci ex latitudine alterius, reſidnũ vocatur dif <lb/>ferentia latitudinis. </s> <s xml:id="echoid-s2670" xml:space="preserve">Hanc duc in. </s> <s xml:id="echoid-s2671" xml:space="preserve">15. </s> <s xml:id="echoid-s2672" xml:space="preserve">miliaria <lb/>Germanica, ad quæ etiã debes reducere diſtan <lb/>tiam vera locoru, dando ſingulis miliaribus. </s> <s xml:id="echoid-s2673" xml:space="preserve">4000 paſſuum. </s> <s xml:id="echoid-s2674" xml:space="preserve">Veram <lb/>igitur diſtantiam ſic acceptã, multiplica in ſe quadratè. </s> <s xml:id="echoid-s2675" xml:space="preserve">Similiter <lb/>miliaria quæ ex differentia latitudinis prouenerãt. </s> <s xml:id="echoid-s2676" xml:space="preserve">Quadratũ hoc <lb/>differẽtiæ latitudin is aufer ex quadrato veræ diſtãtię, reſtabit qua <lb/>dratum miliarium reſpondentiũ differentiæ longitudinis quæſi-<lb/>tæ. </s> <s xml:id="echoid-s2677" xml:space="preserve">Quære ergo radicem quadratam illius reſidui, habebis miliaria, <lb/>quæ ſi diuidas per numerum miliarium reſpondentiũ vni grad ui <lb/>longitudinis in latitudine media, prodibit longitudinis differẽtia <lb/>quæſita. </s> <s xml:id="echoid-s2678" xml:space="preserve">Numerum verò miliariũ reſpondentium vni gradui lon-<lb/>g@tudinis in latitudine media, diſces ex. </s> <s xml:id="echoid-s2679" xml:space="preserve">13. </s> <s xml:id="echoid-s2680" xml:space="preserve">Cap. </s> <s xml:id="echoid-s2681" xml:space="preserve">primæ partis Apia <lb/>ni, exemplo ſecundo, vbi de longitudine differentibus locis agitur.</s> <s xml:id="echoid-s2682" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div128" type="section" level="1" n="119"> <head xml:id="echoid-head131" style="it" xml:space="preserve">¶ Exempli gratia.</head> <p> <s xml:id="echoid-s2683" xml:space="preserve">LOuanium habet latitu. </s> <s xml:id="echoid-s2684" xml:space="preserve">50. </s> <s xml:id="echoid-s2685" xml:space="preserve">gra. </s> <s xml:id="echoid-s2686" xml:space="preserve">58. </s> <s xml:id="echoid-s2687" xml:space="preserve">mi. </s> <s xml:id="echoid-s2688" xml:space="preserve">Gandauũ Flan-<lb/>driæ oppidũ lati. </s> <s xml:id="echoid-s2689" xml:space="preserve">51. </s> <s xml:id="echoid-s2690" xml:space="preserve">gra. </s> <s xml:id="echoid-s2691" xml:space="preserve">24. </s> <s xml:id="echoid-s2692" xml:space="preserve">mi. </s> <s xml:id="echoid-s2693" xml:space="preserve">Differẽtia eſt. </s> <s xml:id="echoid-s2694" xml:space="preserve">26. </s> <s xml:id="echoid-s2695" xml:space="preserve">minu-<lb/>torũ, quæ multiplico per. </s> <s xml:id="echoid-s2696" xml:space="preserve">15. </s> <s xml:id="echoid-s2697" xml:space="preserve">mil. </s> <s xml:id="echoid-s2698" xml:space="preserve">exeũt. </s> <s xml:id="echoid-s2699" xml:space="preserve">390. </s> <s xml:id="echoid-s2700" xml:space="preserve">minuta mi <lb/>liariũ. </s> <s xml:id="echoid-s2701" xml:space="preserve">Atq; </s> <s xml:id="echoid-s2702" xml:space="preserve">vt operatio certior ſit, & </s> <s xml:id="echoid-s2703" xml:space="preserve">turbatione careat, <lb/>reduco omnia alia ſimiliter ad minuta: </s> <s xml:id="echoid-s2704" xml:space="preserve">Nempe diſtan <lb/>tiam verã quæ eſt. </s> <s xml:id="echoid-s2705" xml:space="preserve">14. </s> <s xml:id="echoid-s2706" xml:space="preserve">miliarium, quæ efficiunt. </s> <s xml:id="echoid-s2707" xml:space="preserve">840. </s> <s xml:id="echoid-s2708" xml:space="preserve">mi Multiplico <lb/>nunc veram hanc diſtantiam in ſe quadrate, exeũt. </s> <s xml:id="echoid-s2709" xml:space="preserve">705600. </s> <s xml:id="echoid-s2710" xml:space="preserve">Præte-<lb/>rea miliaria differẽtię latitudinis ſiue minuta duco in ſe, hoc eſt. </s> <s xml:id="echoid-s2711" xml:space="preserve">390 <lb/>in. </s> <s xml:id="echoid-s2712" xml:space="preserve">390. </s> <s xml:id="echoid-s2713" xml:space="preserve">prodeũt. </s> <s xml:id="echoid-s2714" xml:space="preserve">152100 ſecundum hoc quadratum aufero ex prio <lb/>ri, reſtant. </s> <s xml:id="echoid-s2715" xml:space="preserve">553500. </s> <s xml:id="echoid-s2716" xml:space="preserve">quadratũ ſcilicet differẽtiæ longitudinis. </s> <s xml:id="echoid-s2717" xml:space="preserve">Quæ-<lb/>ro ergo radicem ipſius, vt in arithmeticis docetur, ea eſt. </s> <s xml:id="echoid-s2718" xml:space="preserve">744 minu <lb/>ta miliarium reſpondentia differentię longitudinis ignotę Quam <lb/>vt eliciam, quęro quot miliaria reſpondeant vni gradui longitudi <lb/>nis in latitudine media, ſicuti docetur. </s> <s xml:id="echoid-s2719" xml:space="preserve">13. </s> <s xml:id="echoid-s2720" xml:space="preserve">Cap. </s> <s xml:id="echoid-s2721" xml:space="preserve">iam dicto. </s> <s xml:id="echoid-s2722" xml:space="preserve">Ex tabu-<lb/>la illic poſira colligo. </s> <s xml:id="echoid-s2723" xml:space="preserve">9. </s> <s xml:id="echoid-s2724" xml:space="preserve">miliaria. </s> <s xml:id="echoid-s2725" xml:space="preserve">24. </s> <s xml:id="echoid-s2726" xml:space="preserve">min. </s> <s xml:id="echoid-s2727" xml:space="preserve">vel (quoniam omnia ſunt <lb/>in minutis poſita). </s> <s xml:id="echoid-s2728" xml:space="preserve">564 minuta. </s> <s xml:id="echoid-s2729" xml:space="preserve">Diuido tandem. </s> <s xml:id="echoid-s2730" xml:space="preserve">744. </s> <s xml:id="echoid-s2731" xml:space="preserve">per. </s> <s xml:id="echoid-s2732" xml:space="preserve">564. </s> <s xml:id="echoid-s2733" xml:space="preserve">pro-<lb/>uenit vnus gradus, & </s> <s xml:id="echoid-s2734" xml:space="preserve">reſtant. </s> <s xml:id="echoid-s2735" xml:space="preserve">180. </s> <s xml:id="echoid-s2736" xml:space="preserve">quæ multiplico per. </s> <s xml:id="echoid-s2737" xml:space="preserve">60.</s> <s xml:id="echoid-s2738" xml:space="preserve"><unsure/> exurgũt <lb/>10800 quæ rurſus diuido per. </s> <s xml:id="echoid-s2739" xml:space="preserve">564. </s> <s xml:id="echoid-s2740" xml:space="preserve">tandem exurgunt. </s> <s xml:id="echoid-s2741" xml:space="preserve">20. </s> <s xml:id="echoid-s2742" xml:space="preserve">fere min. <lb/></s> <s xml:id="echoid-s2743" xml:space="preserve">Summatim ergo dico, differentiam longitudinis inter Louanium <lb/>& </s> <s xml:id="echoid-s2744" xml:space="preserve">Gandauum 1. </s> <s xml:id="echoid-s2745" xml:space="preserve">gra. </s> <s xml:id="echoid-s2746" xml:space="preserve">20. </s> <s xml:id="echoid-s2747" xml:space="preserve">mi. </s> <s xml:id="echoid-s2748" xml:space="preserve">fere. </s> <s xml:id="echoid-s2749" xml:space="preserve">Sed hic opus eſſe video regulis Di-<lb/>uiſionis Phyſicæ, quæ ſequuntur.</s> <s xml:id="echoid-s2750" xml:space="preserve"/> </p> <pb file="120" n="120" rhead="REG. ET LOCO. DESCRI."/> <note position="right" xml:space="preserve"> <lb/># Integra per integra, proueniunt integra. <lb/># Integra per minuta, fit numerus cuiꝰ vnitas valet. 60 \\ integra, ergo multiplica eũ per. 60. fiunt integra. <lb/># Minuta per minuta, proueniunt integra. <lb/># Minuta per integra, proueniunt minuta. <lb/>Si diuido # Minuta per ſecunda, prouenit numerus quem mul- \\ tiplica per. 60. erunt integra. <lb/># Secunda per integra, proueniunt ſecunda. <lb/># Secunda per minuta, proueniũt minuta. <lb/># Secunda per ſecunda, proueniunt integra. <lb/># Simili modo de alijs minutis. <lb/></note> </div> <div xml:id="echoid-div129" type="section" level="1" n="120"> <head xml:id="echoid-head132" style="it" xml:space="preserve">¶ Quæ verò hic ex Tabulis ſinuum adduci poſſent, conſultò <lb/>prætermitto, quòd ad inſtitutã Coſmographiæ methodũ nõ <lb/>videantur pertinere, ſed altioris eſſe conſider ationis.</head> <p> <s xml:id="echoid-s2751" xml:space="preserve">SEd quorſum (inquiet aliquis) pertinet cognitio huius <lb/>differentiæ longitudinis? </s> <s xml:id="echoid-s2752" xml:space="preserve">Hac cognita, diſcetur lon-<lb/>gitudo alicuius loci ignota, módò alterius ſit nota. </s> <s xml:id="echoid-s2753" xml:space="preserve">Si <lb/>enim differentiã hanc adijcias, vel adimas longitudini <lb/>notæ, prodibit longitudo vera prius incognita. </s> <s xml:id="echoid-s2754" xml:space="preserve">Di-<lb/>co autem adijcias vel adimas: </s> <s xml:id="echoid-s2755" xml:space="preserve">nam ſi locus, cuius longitudo eſt in-<lb/>cognita, ſit occidentalior altero, differentia eſt adimenda longitu-<lb/>dini notæ: </s> <s xml:id="echoid-s2756" xml:space="preserve">econtra adijcienda eſt, ſi ſit oriẽtalior, tum demum exi-<lb/>bit longitudo quæſita.</s> <s xml:id="echoid-s2757" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2758" xml:space="preserve">HÆC ſunt ferè quę mihi videbãtur nõ incõmodè huic <lb/>libello Apiani adijcienda, cùm quia eadem eſt materia, <lb/>tum etiã hic meus ſine illo, aut illius fine hoc meo im-<lb/>perfectus videri potuiſſet. </s> <s xml:id="echoid-s2759" xml:space="preserve">Verùm hoc vnũ admonuiſſe <lb/>volo, quicquid hic de chartis planis deſcribendis dixi <lb/>mus, totum id (ſi ad minutum vſq; </s> <s xml:id="echoid-s2760" xml:space="preserve">examinari debeat) imperfectũ <lb/>eſſe. </s> <s xml:id="echoid-s2761" xml:space="preserve">Nun quam enim in plano poterit deſcriptio fieri regionũ, quę <lb/>ex omni parte ſit completa, etiam ſi ipſemet Ptolemæus redeat, <lb/>nam aut longitudo omittetur regionum, aut diſtantia non ſeruabi <lb/>tur, aut ſitus negligetur, aut etiam duo horum: </s> <s xml:id="echoid-s2762" xml:space="preserve">ratio eſt, quòd nul-<lb/>la ſit cognatio ſphæræ ad planũ, quemadmodũ nec perfecti & </s> <s xml:id="echoid-s2763" xml:space="preserve">im <lb/>perfecti, aut finiti & </s> <s xml:id="echoid-s2764" xml:space="preserve">infiniti. </s> <s xml:id="echoid-s2765" xml:space="preserve">Verùm quum in prouincia. </s> <s xml:id="echoid-s2766" xml:space="preserve">50. </s> <s xml:id="echoid-s2767" xml:space="preserve">vel. </s> <s xml:id="echoid-s2768" xml:space="preserve">100 <lb/>miliariũ hic error nullius momẽti efficiatur, non adeò curandum <lb/>eſt. </s> <s xml:id="echoid-s2769" xml:space="preserve">Sed ſi totam Europã quis<unsure/> per hos modos deſcribere velit, com-<lb/>modiſſime hoc & </s> <s xml:id="echoid-s2770" xml:space="preserve">certiſſime in ſphærico efficiet corpore, quod, <lb/>quum non ſit vulgarium, hic miſſum facio.</s> <s xml:id="echoid-s2771" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div130" type="section" level="1" n="121"> <head xml:id="echoid-head133" xml:space="preserve">Locorum deſcriptionis Finis.</head> <pb o="Fo.58." file="121" n="121"/> </div> <div xml:id="echoid-div131" type="section" level="1" n="122"> <head xml:id="echoid-head134" style="it" xml:space="preserve">VSVS ANNVLI <lb/>Aſtronomici.</head> <head xml:id="echoid-head135" style="it" xml:space="preserve">GEMMA FRISIO MA-<lb/>THE MATICO <lb/>AVTORE.</head> <figure> <image file="121-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/121-01"/> </figure> <pb file="122" n="122"/> </div> <div xml:id="echoid-div132" type="section" level="1" n="123"> <head xml:id="echoid-head136" style="it" xml:space="preserve">MODIS OMNIBVS ORNATISS. <lb/>ac verè Nobili D. Ioanni Khreutter, Sereniſſ. Reginæ Hun-<lb/>gariæ Secretario, Gemma Friſius S. D.</head> <p style="it"> <s xml:id="echoid-s2772" xml:space="preserve">INter multa variaq́; </s> <s xml:id="echoid-s2773" xml:space="preserve">animantium genera, quæ diuerſiſſimis ac ad <lb/>miratione dignis effinxit natura dotibus, vix inuemas vir orna <lb/>tiſſ. </s> <s xml:id="echoid-s2774" xml:space="preserve">aliquod, quod minus ſuo fungatur officio atque bumanum <lb/>genus. </s> <s xml:id="echoid-s2775" xml:space="preserve">Quod quum à Deo Opt. </s> <s xml:id="echoid-s2776" xml:space="preserve">Max. </s> <s xml:id="echoid-s2777" xml:space="preserve">creatum ſit perfectiſſi-<lb/>mum, ratione illa diuina animi parte præditum, qua & </s> <s xml:id="echoid-s2778" xml:space="preserve">ea quæ rectè fiunt eli <lb/>geret, ſectareturq́;</s> <s xml:id="echoid-s2779" xml:space="preserve">: & </s> <s xml:id="echoid-s2780" xml:space="preserve">ea quæ præter officium ſunt, fugeret, deteſtareturq́;</s> <s xml:id="echoid-s2781" xml:space="preserve">: <lb/>nihil minus agit, imò quaſi quadam animi proteruit ate in contrarium abripitur <lb/>ac ſeducitur: </s> <s xml:id="echoid-s2782" xml:space="preserve">Vbi videmus ediuerſo cætera omnia animantia ſuum quodq; </s> <s xml:id="echoid-s2783" xml:space="preserve">pera-<lb/>gere ſedulò officiũ, quod ipſi à natura inditum eſt. </s> <s xml:id="echoid-s2784" xml:space="preserve">Ciconias grata viciſsitudine <lb/>Ver aduentu ſuo nuntiare, receſſu Autumnũ, atq; </s> <s xml:id="echoid-s2785" xml:space="preserve">interim leges certas & </s> <s xml:id="echoid-s2786" xml:space="preserve">quaſi <lb/>viuendi modum (ſi Plinio credimus) obſeruare. </s> <s xml:id="echoid-s2787" xml:space="preserve">Philomela ſtatis temporibus dul <lb/>ciſſimis demulcet noctis horrorẽ cantibus. </s> <s xml:id="echoid-s2788" xml:space="preserve">Gallus tempora certis diſtinguit in-<lb/>teruallis. </s> <s xml:id="echoid-s2789" xml:space="preserve">Denique non ſolum viuentia hæc, verùm etiam cuncta, quibus tamen <lb/>anima denegata eſt, certa quadam lege ducuntur. </s> <s xml:id="echoid-s2790" xml:space="preserve">Tellus ſuos fructus cum fœ <lb/>nore reddit: </s> <s xml:id="echoid-s2791" xml:space="preserve">Oceanus, Luna duce, certis ſtatisq́; </s> <s xml:id="echoid-s2792" xml:space="preserve">temporibus tellurẽ ambit: </s> <s xml:id="echoid-s2793" xml:space="preserve">atq; <lb/></s> <s xml:id="echoid-s2794" xml:space="preserve">adeò omnia legem ſibi ab æterno præſcriptam obſeruant, vt hic nihil iam deſy <lb/>deretur niſi ſolus homo. </s> <s xml:id="echoid-s2795" xml:space="preserve">Cui & </s> <s xml:id="echoid-s2796" xml:space="preserve">ſi os ſublime dederit, cœlumq́; </s> <s xml:id="echoid-s2797" xml:space="preserve">tueri iuſſerit ſum <lb/>mus ille rerum autor, ſolus tamen ille ſtudio vilium rerum atq; </s> <s xml:id="echoid-s2798" xml:space="preserve">abiectarum de-<lb/>tentus, deſidet atq; </s> <s xml:id="echoid-s2799" xml:space="preserve">ceſſat. </s> <s xml:id="echoid-s2800" xml:space="preserve">Verùm de horum numero cùm non omnes cenſendi ve <lb/>niant homines, tum verò minimè tuum nomen eis adnumerandũ erit: </s> <s xml:id="echoid-s2801" xml:space="preserve">Qui inter <lb/>ardua perpetuaq́; </s> <s xml:id="echoid-s2802" xml:space="preserve">Principum negotia (quod nigro Cygno rarius eſt) omnis ta <lb/>men generis artes diſciplinasq́;</s> <s xml:id="echoid-s2803" xml:space="preserve">, quibus animus hominis potior pars & </s> <s xml:id="echoid-s2804" xml:space="preserve">eruditur <lb/>& </s> <s xml:id="echoid-s2805" xml:space="preserve">exornatur, tanto ſtudio ſectaris & </s> <s xml:id="echoid-s2806" xml:space="preserve">tueris, vt te illis penitus addixiſſe videri <lb/>poſsis. </s> <s xml:id="echoid-s2807" xml:space="preserve">Quæ ſanè res me adeò in tui amorem venerationemq́ pertraxit, (quem <lb/>enim non moueret) vt iam audeam etiam tanquam pulchrum quiddam facturus <lb/>cum exiguo munuſculo in tuum prodire conſpectum. </s> <s xml:id="echoid-s2808" xml:space="preserve">Quod quidem mihi neque <lb/>temeritati, neq; </s> <s xml:id="echoid-s2809" xml:space="preserve">audaciæ adſcribi ab aliquo vellem: </s> <s xml:id="echoid-s2810" xml:space="preserve">tibi verò id gratum fore nõ <lb/>dubito, cui quicquid ab animo rectè ac ſyncerè proficiſcitur, diſplicere nõ poteſt. </s> <s xml:id="echoid-s2811" xml:space="preserve"><lb/>Quod autem ad hunc noſtrum Annulum attinet, vt ingenuè fatear (ingenui <lb/>enim eſt, inquit Plin. </s> <s xml:id="echoid-s2812" xml:space="preserve">fateri à quo profeceris) meum non eſt omnino inuentum <lb/>illud: </s> <s xml:id="echoid-s2813" xml:space="preserve">attamen ſi inuentis addere, eaq́; </s> <s xml:id="echoid-s2814" xml:space="preserve">dilatare laudi ducendum ſit, in his nomen <lb/>profiteor meum. </s> <s xml:id="echoid-s2815" xml:space="preserve">Annulũ enim hactenus horas tantùm diei, & </s> <s xml:id="echoid-s2816" xml:space="preserve">mundi quatuor <lb/>regiones exhibentẽ, ita auximus, vt iam cum quouis inſtrumento certet mathe <lb/>matico. </s> <s xml:id="echoid-s2817" xml:space="preserve">Quicquid enim longis verborum connexibus de Quadrantibus, Chilin <lb/>dris, Aſtrolabiis, ab aliis paſſim traditur, id ferè in hunc vnicum Annulum con <lb/>geſtum est. </s> <s xml:id="echoid-s2818" xml:space="preserve">Quem, vt vidi Principe dignum eſſe ornamentum, neq; </s> <s xml:id="echoid-s2819" xml:space="preserve">ſolum orna <lb/>mentum, verumetiam vtilitatem non iniucundam præ ſe ferre, non potui com-<lb/>mittere, quin tibi, cui omnia ſuo tempore agenti, hæc res vſui futura videbatur <lb/>hunc noſtrum quantulumcunq; </s> <s xml:id="echoid-s2820" xml:space="preserve">dedicarem laborem. </s> <s xml:id="echoid-s2821" xml:space="preserve">Tu verò pro tua in nos hu <lb/>manitate boni noſtram conſulere tenuitatem, magnitudinemq; </s> <s xml:id="echoid-s2822" xml:space="preserve">munuſculi non <lb/>ex ipſo, ſed ex animi noſtri affectu metiri velis. </s> <s xml:id="echoid-s2823" xml:space="preserve">Vale.</s> <s xml:id="echoid-s2824" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2825" xml:space="preserve">Ex Louanio Calend. </s> <s xml:id="echoid-s2826" xml:space="preserve">Feb. </s> <s xml:id="echoid-s2827" xml:space="preserve">1534.</s> <s xml:id="echoid-s2828" xml:space="preserve"/> </p> <pb o="Fo.59." file="123" n="123"/> </div> <div xml:id="echoid-div133" type="section" level="1" n="124"> <head xml:id="echoid-head137" xml:space="preserve">VSVS ANNVLI <lb/>Aſtronomici per Gem. Friſium.</head> <head xml:id="echoid-head138" style="it" xml:space="preserve">DECLARATIO PARTIVM. <lb/>CAP. 1.</head> <p> <s xml:id="echoid-s2829" xml:space="preserve">ORbes quatuor omnẽ hunc noſtrũ vſum præſtant. <lb/></s> <s xml:id="echoid-s2830" xml:space="preserve">Quorum extimus, qui ſcilicet alios intra hunc ver <lb/>tentes amplectitur, Meridiani vices præbet. </s> <s xml:id="echoid-s2831" xml:space="preserve">Voca <lb/>mus autem meridianum circulũ, qui tranſiens per <lb/>mundi verticem vtrumq;</s> <s xml:id="echoid-s2832" xml:space="preserve">, noſtrisimminet capiti-<lb/>bus, eò quòd quum ad illum ex ortu aſcendẽs Sol <lb/>peruenerit, mediæ diei indiciũ eſt. </s> <s xml:id="echoid-s2833" xml:space="preserve">In hoc affixi ſunt duo interiores <lb/>orbiculi ſimul, in modũ vnius annuli coniuncti, atq; </s> <s xml:id="echoid-s2834" xml:space="preserve">puncta ea duo <lb/>ſuper quibus hi mouẽtur, poli ſiue vertices à Mathematicis vocan-<lb/>tur, alterũ quidem ſcilicet quod circa fili alligationẽ eſt Arcticus, <lb/>alterum Antarcticus. </s> <s xml:id="echoid-s2835" xml:space="preserve">Idẽ hic orbis extimus diuiſus eſt in. </s> <s xml:id="echoid-s2836" xml:space="preserve">4. </s> <s xml:id="echoid-s2837" xml:space="preserve">partes. </s> <s xml:id="echoid-s2838" xml:space="preserve"><lb/>Vna harum. </s> <s xml:id="echoid-s2839" xml:space="preserve">4. </s> <s xml:id="echoid-s2840" xml:space="preserve">partiũ deinceps in. </s> <s xml:id="echoid-s2841" xml:space="preserve">90. </s> <s xml:id="echoid-s2842" xml:space="preserve">partes, Niſi fortaſſis vbi angu <lb/>ſtia nos impediuerit, ibi enim. </s> <s xml:id="echoid-s2843" xml:space="preserve">45. </s> <s xml:id="echoid-s2844" xml:space="preserve">tantùm adſignauimus. </s> <s xml:id="echoid-s2845" xml:space="preserve">Sunt au-<lb/>tem hì gradus latitudinum ſiue eleuationum poli regionum. </s> <s xml:id="echoid-s2846" xml:space="preserve">Secun <lb/>dus orbiculus, qui cum primo vnum conſtituit complicato annu-<lb/>lo æquatorem refert circulum, qui eſt circulus medij orbis æ quali-<lb/>ter diſtans ab vtroq; </s> <s xml:id="echoid-s2847" xml:space="preserve">polorum mundi. </s> <s xml:id="echoid-s2848" xml:space="preserve">Hic diuiſus eſt in. </s> <s xml:id="echoid-s2849" xml:space="preserve">24. </s> <s xml:id="echoid-s2850" xml:space="preserve">horas æ-<lb/>quales incipiẽtes à meridie & </s> <s xml:id="echoid-s2851" xml:space="preserve">media nocte. </s> <s xml:id="echoid-s2852" xml:space="preserve">Quæ verò interiori eius <lb/>lateri inſcribuntur, menſes ſunt anni in hebdomadas diuiſi. </s> <s xml:id="echoid-s2853" xml:space="preserve">Tertius <lb/>orbis cum quarto ita coniunctus eſt, vt ſimul vnum orbem efficiat, <lb/>hic etiam in nonnullis ſimplex eſt. </s> <s xml:id="echoid-s2854" xml:space="preserve">In interiori ergo eius ſuperficie <lb/>primùm inſcripti ſunt. </s> <s xml:id="echoid-s2855" xml:space="preserve">12. </s> <s xml:id="echoid-s2856" xml:space="preserve">anni menſes, per quos defertur pinnula, <lb/>cùm exteriorem horum duorum ſtilo protudimus. </s> <s xml:id="echoid-s2857" xml:space="preserve">E regione men-<lb/>ſium. </s> <s xml:id="echoid-s2858" xml:space="preserve">12. </s> <s xml:id="echoid-s2859" xml:space="preserve">inſcribuntur ſigna Zodiaci, per quæ defertur foramẽ ſimul <lb/>cum pinnula per menſes. </s> <s xml:id="echoid-s2860" xml:space="preserve">Eſt item vna quarta huius pars diſſecta in <lb/>90. </s> <s xml:id="echoid-s2861" xml:space="preserve">gradus, aſſcriptis numeris denis tantùm gradibus. </s> <s xml:id="echoid-s2862" xml:space="preserve">Ex aduerſo <lb/>ſunt. </s> <s xml:id="echoid-s2863" xml:space="preserve">24. </s> <s xml:id="echoid-s2864" xml:space="preserve">partes inæquales, dimenſionibus altitudinum & </s> <s xml:id="echoid-s2865" xml:space="preserve">diſtantia-<lb/>rum accommodandæ. </s> <s xml:id="echoid-s2866" xml:space="preserve">Demum in latere duæ affixæ ſunt pinnulæ, <lb/>ex diametro oppoſitæ, nocturnis horis & </s> <s xml:id="echoid-s2867" xml:space="preserve">dimenſionibus aptæ. </s> <s xml:id="echoid-s2868" xml:space="preserve">Ali <lb/>qui verò pinnulas habent mobiles.</s> <s xml:id="echoid-s2869" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div134" type="section" level="1" n="125"> <head xml:id="echoid-head139" style="it" xml:space="preserve">¶ De vſu annuli, primum´que loci Solis inuentione. <lb/>CAP. II.</head> <p> <s xml:id="echoid-s2870" xml:space="preserve">QVum ergo anni horarũ´q; </s> <s xml:id="echoid-s2871" xml:space="preserve">dimẽſio omnis à Sole pendeat, <lb/>tum enim annꝰ eſt, cũ ſuo curſu Sol orbẽ ſignorũ percur <lb/>rerit: </s> <s xml:id="echoid-s2872" xml:space="preserve">dies verò, cũ ab ortu in eundẽ ortũ remeauerit, ne-<lb/>ceſſaria omnino cognitio motus Solis cẽſetur. </s> <s xml:id="echoid-s2873" xml:space="preserve">Si igitur <lb/>quouis die anni locũ Solis in Zodiaco deprehẽdere libe <lb/>at, protũde ſtilo quouis annulũ tertium, qui intra margines quarti <pb file="124" n="124" rhead="VSVS ANNVLI"/> mouetur, donec pinnula quæ intra rimã ſus´q; </s> <s xml:id="echoid-s2874" xml:space="preserve">de´q; </s> <s xml:id="echoid-s2875" xml:space="preserve">deuoluitur, ad <lb/>menſem & </s> <s xml:id="echoid-s2876" xml:space="preserve">diẽ menſis propoſitũ ꝗ̃ poteſt exactiſiimè collocetur, tú <lb/>enim ſimul & </s> <s xml:id="echoid-s2877" xml:space="preserve">foramẽ, quod ex aduerſo eſt in ſigno, cõſtituetur in <lb/>quo Sol mouetur. </s> <s xml:id="echoid-s2878" xml:space="preserve">Verũ quũ circa eadẽ puncta bina inſcripſerimus <lb/>ſigna, binos´q; </s> <s xml:id="echoid-s2879" xml:space="preserve">menſes, haud facilè fuerit imperitis obſeruare, vtrũ <lb/>ſignũ vtri debeat attribui mẽſi. </s> <s xml:id="echoid-s2880" xml:space="preserve">Quare notandũ eſt, ſigna eſſe dupli <lb/>cia, Septentrionalia & </s> <s xml:id="echoid-s2881" xml:space="preserve">auſtralia, æſtiua & </s> <s xml:id="echoid-s2882" xml:space="preserve">hyberna. </s> <s xml:id="echoid-s2883" xml:space="preserve">Septẽtrionalia <lb/>ſunt: </s> <s xml:id="echoid-s2884" xml:space="preserve">♈ Aries, ♉ Taurus, ♊ Gemini, ♋ Cancer, ♌ Leo, ♍ Virgo. <lb/></s> <s xml:id="echoid-s2885" xml:space="preserve">Atq; </s> <s xml:id="echoid-s2886" xml:space="preserve">ſingulis horum ſuus adſcribitur menſis, hoc ordine, Martius, <lb/>Aprilis, Maius, Iunius, Iulius, Auguſtꝰ. </s> <s xml:id="echoid-s2887" xml:space="preserve">Reliqua ſunt auſtralia ſigna, <lb/>♎ Libra, ♏ Scorpio, ♐ Sagittarius, ♑ Capricornus, ♒ Aquarius, <lb/>♓ Piſces. </s> <s xml:id="echoid-s2888" xml:space="preserve">quorum menſes: </s> <s xml:id="echoid-s2889" xml:space="preserve">September, October, Nouember, De-<lb/>cember, Ianuarius, Februarius. </s> <s xml:id="echoid-s2890" xml:space="preserve">Eodẽ modo quo menſe, quóve die <lb/>Sol quoduis ſignum ingrediatur, perquirendum erit. </s> <s xml:id="echoid-s2891" xml:space="preserve">Si enim fora-<lb/>men perduxeris vſq; </s> <s xml:id="echoid-s2892" xml:space="preserve">ad ſignũ, de quo qnæſtio eſt, pinnula oppoſita <lb/>ad menſem diem´q; </s> <s xml:id="echoid-s2893" xml:space="preserve">eiuſdem (quantũ cõcedit ſpacij anguſtia) quo <lb/>sol tale ſignum ingreditur, collocabitur. </s> <s xml:id="echoid-s2894" xml:space="preserve">Obſeruatis rurſus menſi-<lb/>bus (vt dictum eſt) ſuo ordine. </s> <s xml:id="echoid-s2895" xml:space="preserve">Quibus verò pinnulę ſunt mobiles, <lb/>his dies menſis promouendus ad notam in margine poſitam: </s> <s xml:id="echoid-s2896" xml:space="preserve">tum <lb/>altera pinnularum ſignũ indicabit & </s> <s xml:id="echoid-s2897" xml:space="preserve">gradum. </s> <s xml:id="echoid-s2898" xml:space="preserve">Aut contrà pinnu-<lb/>la promota ad ſignũ: </s> <s xml:id="echoid-s2899" xml:space="preserve">nota, diem mẽſi@ indicabit quo Sol tale ſignũ <lb/>ingrediatur dato cuilibet menſium ſuo ſigno.</s> <s xml:id="echoid-s2900" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div135" type="section" level="1" n="126"> <head xml:id="echoid-head140" style="it" xml:space="preserve">¶ Eleuationem poli quomodo inuenias. Cap. III.</head> <p> <s xml:id="echoid-s2901" xml:space="preserve">ANnulus hic quidem noſter toti non ſolùm Europæ, ſed <lb/>vniuerſo orbi inſeruit, obſeruata tamen vniuſcuiuſque <lb/>regionis à medio orbe latitudine, ſiue eleuatione poli. <lb/></s> <s xml:id="echoid-s2902" xml:space="preserve">Sed quum hic non omnium regionũ aut locorũ latitu <lb/>dinem adſcripſerimus, id enim ingẽtis eſſet voluminis, vtile viſum <lb/>fuit artem adſcribere, qua quiuis eius loci in quo agit, latitudinem <lb/>ipſe experiatur, quę ſic habet: </s> <s xml:id="echoid-s2903" xml:space="preserve">Permoue pinnulam interioris annu <lb/>li ad menſem eius´q; </s> <s xml:id="echoid-s2904" xml:space="preserve">diem quàm potes exactiſſimè. </s> <s xml:id="echoid-s2905" xml:space="preserve">Deinde obſerua <lb/>ſolem in meridie exiſtentem, & </s> <s xml:id="echoid-s2906" xml:space="preserve">ſuſpenſo annulo ad manum, pone <lb/>annulum interiorem, ita vt eius linea quæ exteriorem eiuſdem ſu <lb/>perficiem mediam ſecat, circa duodecimã horam annuli ſecũdi col <lb/>locetur: </s> <s xml:id="echoid-s2907" xml:space="preserve">foramen verò verſus eam partẽ exterioris ſit orbis, in qua <lb/>filum alligatur. </s> <s xml:id="echoid-s2908" xml:space="preserve">Demũ obiecto foramine interioris annuli, Soli, ſi <lb/>radij per eiuſdem foramen immiſſi pinnulã oppoſitã ꝗ̃ exactiſſimè <lb/>aſpiciãt, tum demũ filum ipſum quo annulũ ſuſpendis, latitudinẽ <lb/>regionis ſiue poli exaltationẽ certa indicabit ratione. </s> <s xml:id="echoid-s2909" xml:space="preserve">Atq; </s> <s xml:id="echoid-s2910" xml:space="preserve">ibi per <lb/>petuò cũ aut horæ diei, aut mundi plagę inueſtigandę erunt, filum <lb/>alligari debet, donec in aliud veneris Clima, aut in aliã regionẽ ma <lb/>gis auſtralem aut arctoam te contuleris. </s> <s xml:id="echoid-s2911" xml:space="preserve">Ibi enim rurſus aut ex ta-<lb/>bella hic appoſita, aut ex arte præſcripta latitudo regionis inqui-<lb/>rẽda erit. </s> <s xml:id="echoid-s2912" xml:space="preserve">Quanuis aũt de meridie tantũmodo mẽtionẽ fecerimus, <pb o="Fo.60" file="125" n="125" rhead="ASTRONOMICI."/> licet tamẽ & </s> <s xml:id="echoid-s2913" xml:space="preserve">idem experiri alijs horis, ſiue antemeridianis, ſiue pome <lb/>ridianis. </s> <s xml:id="echoid-s2914" xml:space="preserve">Collocato enim interiori annulo ad horam diei propoſitam, <lb/>ac demiſſis radijs Solis per foramen in oppoſitã pinnulam eadem via <lb/>qua prius, per filum in certam regionis latitu. </s> <s xml:id="echoid-s2915" xml:space="preserve">deuenitur. </s> <s xml:id="echoid-s2916" xml:space="preserve">Quod ſi pri-<lb/>ma vice (vt fit) non omnino radij ſolis obiectã intueantur pinnulam, <lb/>ligandum erit filum ſurſum deorſúmve in annulo exteriori, ſæpius´q; <lb/></s> <s xml:id="echoid-s2917" xml:space="preserve">tentandũ donec ſuccedat. </s> <s xml:id="echoid-s2918" xml:space="preserve">Quibus verò interior annulus ſimplex eſt, <lb/>hi poſito ipſo ad horam, eouſq; </s> <s xml:id="echoid-s2919" xml:space="preserve">filum ſurſum deorſúmve mouẽdum, <lb/>quò radius per foramen ingreſſus ad locum ſolis recte finiatur oppo-<lb/>ſitum. </s> <s xml:id="echoid-s2920" xml:space="preserve">Et qui pinnulas habent mobiles, hi in æſtate pinnulam ſupe-<lb/>riorem quàm ſit æquator, ſemper Soli obuertant: </s> <s xml:id="echoid-s2921" xml:space="preserve">hyeme verò inferio <lb/>rem. </s> <s xml:id="echoid-s2922" xml:space="preserve">Atque hæc ſemel monuimus ob diuerſas annulorum formulas, <lb/>ac deinceps ſemper obſeruatum volumus.</s> <s xml:id="echoid-s2923" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div136" type="section" level="1" n="127"> <head xml:id="echoid-head141" style="it" xml:space="preserve">¶ Horæ inuentio inter diu. CAP. IIII.</head> <p> <s xml:id="echoid-s2924" xml:space="preserve">PRimò igitur pinnula interioris annuli (vt etiam in præ-<lb/>cedenti via docuimus) ꝗ̃ poteſt diligentiſſime ad men-<lb/>ſem diem´q; </s> <s xml:id="echoid-s2925" xml:space="preserve">anni propoſitum ſtylo permoueatur. </s> <s xml:id="echoid-s2926" xml:space="preserve">Secun <lb/>dò filum ad latitudinẽ regionis in annulo exteriori alli <lb/>getur, quam quidem aut ex tabella noſtra, aut ex arte <lb/>iamiam demonſtrata deprehendiſti. </s> <s xml:id="echoid-s2927" xml:space="preserve">Tertiò interioris annuli pars ea <lb/>in qua foramen eſt, ad horas antemeridianas aut pomeridianas pro <lb/>temporis ratione conſtituatur. </s> <s xml:id="echoid-s2928" xml:space="preserve">Demùm ſuſpenſo ex manu annulo, <lb/>obiecto´que foramine Soli, eouſque interiorem orbem aut ſurſum aut <lb/>deorſum paulatim circunducito, donec omnino radij Solis per fora-<lb/>men pinnulam obiectam illuſtrent: </s> <s xml:id="echoid-s2929" xml:space="preserve">hoc enim facto, linea diuidens la <lb/>titudinem mediam orbis interioris, horam atq; </s> <s xml:id="echoid-s2930" xml:space="preserve">adeò partes eius indi <lb/>cabit in orbe quem æquatorem vocamus. </s> <s xml:id="echoid-s2931" xml:space="preserve">Quibus verò annuli diuer <lb/>ſi ſunt, hi conſulant caput præcedens.</s> <s xml:id="echoid-s2932" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div137" type="section" level="1" n="128"> <head xml:id="echoid-head142" style="it" xml:space="preserve">¶ An ſit ante meridiem, an poſt. CAP. V.</head> <p> <s xml:id="echoid-s2933" xml:space="preserve">ACcidit autem interdum (quanuis id hominis videatur <lb/>& </s> <s xml:id="echoid-s2934" xml:space="preserve">negligentis, & </s> <s xml:id="echoid-s2935" xml:space="preserve">nullam vitæ rationem habentis) du-<lb/>bitatio, an hora innenta præcedat meridiem an ſequa-<lb/>tur. </s> <s xml:id="echoid-s2936" xml:space="preserve">Quod non ſtatim ex annulo deprehendi poterit, eo <lb/>quòd Solis eadem ſit altitudo binis in horis æqualiter à <lb/>medirie diſtantibus, vt hora prima & </s> <s xml:id="echoid-s2937" xml:space="preserve">vndecima, ſecunda & </s> <s xml:id="echoid-s2938" xml:space="preserve">decima <lb/>&</s> <s xml:id="echoid-s2939" xml:space="preserve">c. </s> <s xml:id="echoid-s2940" xml:space="preserve">Huius igitur dubij diſcuſſio ita facile habebitur. </s> <s xml:id="echoid-s2941" xml:space="preserve">Inuenta hora <lb/>per præcedentem, aut in horis antemeridianis aut pomeridianis, im-<lb/>motus ita conſeruetur annulus ad tempus Paulò poſt rurſus ſuſpen-<lb/>ſo annulo ex manu, ſi tum radij Solis qui prius pinnulam adamuſſim <lb/>reſpiciebant, eandẽ ſuperent, tempus obſeruatum pomeridianũ iudi-<lb/>ca: </s> <s xml:id="echoid-s2942" xml:space="preserve">Sin ab eadem deorſum tendant, hora eſt antemeridiana. </s> <s xml:id="echoid-s2943" xml:space="preserve">Quanuis <lb/>idem illud abſque annuli adiumento facile ex vmbra cuiuſuis rei ere <lb/>ctæ percipiatur. </s> <s xml:id="echoid-s2944" xml:space="preserve">Cùm enim illa minuitur, indicio eſt Solẽ aſcendere <pb file="126" n="126" rhead="VSVS ANNVLI"/> nondumq<unsure/>ue mediam elapſam eſſe diem. </s> <s xml:id="echoid-s2945" xml:space="preserve">Cùm verò augetur, Solem <lb/>à faſtigio declinare arguit, & </s> <s xml:id="echoid-s2946" xml:space="preserve">tempus eſſe pomeridianum.</s> <s xml:id="echoid-s2947" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div138" type="section" level="1" n="129"> <head xml:id="echoid-head143" style="it" xml:space="preserve">¶ Horæ Nocturnæ inueſtigatio. <lb/>CAP. VI.</head> <p> <s xml:id="echoid-s2948" xml:space="preserve">VErùm priusquàm id expediamus, habenda eſt cognitio <lb/>ſtellæ cuiuſdam erraticæ, quæ Solis abſentis vices ſub-<lb/>eat, hanc ab Aſtrologo quopiam ediſcat neceſſe eſt, qui <lb/>alioqui ignarus eſt. </s> <s xml:id="echoid-s2949" xml:space="preserve">Nam ex deſcriptione nuda diffici-<lb/>lis cognitio fuerit. </s> <s xml:id="echoid-s2950" xml:space="preserve">Attamen ne noſtro defuiſſe videamur officio, <lb/>talem eius deſcriptionem accipe: </s> <s xml:id="echoid-s2951" xml:space="preserve">Stella eſt primæ (vt vocant) ma-<lb/>gnitudinis, hoc eſt, maximæ quantitatis inter fixas ſtellas, diſtans<unsure/> <lb/>ab æquatore quaſi partibus. </s> <s xml:id="echoid-s2952" xml:space="preserve">45. </s> <s xml:id="echoid-s2953" xml:space="preserve">Hircum authores vocant, lucida, <lb/>rubicunda, nunquam ſe ſubmergens ſub noſtrum Finitorem, cũ Sol <lb/>fuerit in. </s> <s xml:id="echoid-s2954" xml:space="preserve">11 gradu Sagittarij, quod fit ſeptimo Calendarum Decem-<lb/>bris, ipſa noctis hora. </s> <s xml:id="echoid-s2955" xml:space="preserve">12. </s> <s xml:id="echoid-s2956" xml:space="preserve">circa verticem capitis videbitur: </s> <s xml:id="echoid-s2957" xml:space="preserve">quare ſi <lb/>tum à ſtella polari, quam quiuis etiam ruſticus cognouit, recta viſu <lb/>proceſſeris verſus meridiem, ipſa primùm viſui occurrit. </s> <s xml:id="echoid-s2958" xml:space="preserve">Item ſi cùm <lb/>Luna in Geminis conſtiterit, à Luna verſus eandem ſtellam pola-<lb/>rem viſu progreſſus fueris, prima rurſus occurret Hirci ſtella, quam <lb/>vbi ſemel videris per aliarum ſtellarum ſitum, neceſſe eſt memoriæ <lb/>cõmendes. </s> <s xml:id="echoid-s2959" xml:space="preserve">Cognita igitur ſtella, ſuſpende ex manu annulum, & </s> <s xml:id="echoid-s2960" xml:space="preserve">inte-<lb/>riorem orbẽ circumduc, vt ſuperior pinnularũ quas in margine ap-<lb/>poſuimus, vel ſi mobiles fuerint, moue eas ad. </s> <s xml:id="echoid-s2961" xml:space="preserve">45. </s> <s xml:id="echoid-s2962" xml:space="preserve">gradus ab æqua-<lb/>tore, ac circumage annulum interiorẽ vt eam partem æquatoris oc-<lb/>cupet quam ſtella ipſa occupat in cœlo, ſcilicet orientalem, vel occi-<lb/>dentalem, quod quidem noctu facilè fuerit cognitu: </s> <s xml:id="echoid-s2963" xml:space="preserve">nam ſtella po-<lb/>laris ſiue nautica ſeptentrionẽ ſemper indicat. </s> <s xml:id="echoid-s2964" xml:space="preserve">Demũ eouſq; </s> <s xml:id="echoid-s2965" xml:space="preserve">depri-<lb/>me vel extolle orbem interiorẽ, donec<unsure/> pendente annulo ambæ pin-<lb/>nulæ ad ipſam ſtellam ab oculo videãtur tendere: </s> <s xml:id="echoid-s2966" xml:space="preserve">quo facto, obſerua <lb/>diligẽter quã horam quantamq́; </s> <s xml:id="echoid-s2967" xml:space="preserve">partẽ eius linea media interioris an <lb/>nuli indicet, quod quidẽ abſq; </s> <s xml:id="echoid-s2968" xml:space="preserve">lumine cõ modè non feceris. </s> <s xml:id="echoid-s2969" xml:space="preserve">Hæc aũt <lb/>hora inuenta nõ eſt hora vera, quum non ipſius ſtellæ ſed Solis offi-<lb/>cium ſit horas diſtinguere. </s> <s xml:id="echoid-s2970" xml:space="preserve">Neceſſe erit igitur per diſtantiam Solis à <lb/>ſtella horam verã colligere, quod ita fit: </s> <s xml:id="echoid-s2971" xml:space="preserve">In interiori ambitu orbis ſe-<lb/>cundi quære menſem & </s> <s xml:id="echoid-s2972" xml:space="preserve">diem præpoſitũ, ſimul enim in altera eiuſdẽ <lb/>orbis ſuperficie horas videbis, quas ſubducito ex horis prius inuen-<lb/>tis, reſtabit hora vera. </s> <s xml:id="echoid-s2973" xml:space="preserve">Quòd ſi horæ per ſtellã inuẽtæ, minores fue-<lb/>rint numero, adde ipſis. </s> <s xml:id="echoid-s2974" xml:space="preserve">12. </s> <s xml:id="echoid-s2975" xml:space="preserve">horas, atq; </s> <s xml:id="echoid-s2976" xml:space="preserve">à collecto horas apud menſis <lb/>diem inuentas ſubducito, reſiduum horã veram indicabit. </s> <s xml:id="echoid-s2977" xml:space="preserve">Exempli <lb/>gratia. </s> <s xml:id="echoid-s2978" xml:space="preserve">Demus vigeſima prima Decemb. </s> <s xml:id="echoid-s2979" xml:space="preserve">ſtellã nobis indicaſſe horam <lb/>primã, quia apud diem. </s> <s xml:id="echoid-s2980" xml:space="preserve">21. </s> <s xml:id="echoid-s2981" xml:space="preserve">Decembris inuenio horas duas, non poſ-<lb/>ſum eas abvna ſubducere, quare addo. </s> <s xml:id="echoid-s2982" xml:space="preserve">12. </s> <s xml:id="echoid-s2983" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s2984" xml:space="preserve">13. </s> <s xml:id="echoid-s2985" xml:space="preserve">hinc aufero. </s> <s xml:id="echoid-s2986" xml:space="preserve">2. <lb/></s> <s xml:id="echoid-s2987" xml:space="preserve">reſtant 11. </s> <s xml:id="echoid-s2988" xml:space="preserve">quæ veram indicãt noctis horã. </s> <s xml:id="echoid-s2989" xml:space="preserve">Fecimus etiã annulos cum <lb/>pinnulis mobilibus, per quos ex omnibus fere ſtellis licet horas co- <pb o="Fo.61" file="127" n="127" rhead="ASTRONOMICI."/> gnoſcere cognita declinatione ipſarum, & </s> <s xml:id="echoid-s2990" xml:space="preserve">diſtãtia à Sole in gradibus <lb/>æquatoris, ſed hanc rationem in aliud tempus ſeruo.</s> <s xml:id="echoid-s2991" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div139" type="section" level="1" n="130"> <head xml:id="echoid-head144" style="it" xml:space="preserve">¶ Qua ratione horæ nocturnæ facilius inue-<lb/>niantur. CAP. VII.</head> <p> <s xml:id="echoid-s2992" xml:space="preserve">NOcte ſerena ſuſpende ex manu annulũ facie verſa in Se-<lb/>ptentrionem, & </s> <s xml:id="echoid-s2993" xml:space="preserve">diſtentis omnibus orbibus annuli, verte <lb/>meridianũ ipſius annuli ad ſtellam polarem, ita vt duo <lb/>poli ipſius annuli quàm poſſunt rectiſſimè ab oculo in <lb/>ſtellam polarem vergant. </s> <s xml:id="echoid-s2994" xml:space="preserve">Deinde circunduc pedetentim orbem inte <lb/>riorem verſus duas ſtellas anteriores vrſę maioris, quæ ſecundum vul <lb/>gi appellationem ſunt rotæ poſtremæ Plauſtri. </s> <s xml:id="echoid-s2995" xml:space="preserve">Iam verò conſidera, <lb/>quotam horam hic orbis interior indicet, ab horis inuentis ſubduc <lb/>(vt in cap. </s> <s xml:id="echoid-s2996" xml:space="preserve">præcedenti) horas inuentas circa menſis diem in circulo <lb/>æquinoctiali, numero horarum hic relicto adijcias aut adimas. </s> <s xml:id="echoid-s2997" xml:space="preserve">6. </s> <s xml:id="echoid-s2998" xml:space="preserve">ho-<lb/>ras, ita tibi vera prodibit hora noctis. </s> <s xml:id="echoid-s2999" xml:space="preserve">Hac via facilius hora inueni-<lb/>tur, verùm illa præcedenti paulò certius.</s> <s xml:id="echoid-s3000" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div140" type="section" level="1" n="131"> <head xml:id="echoid-head145" style="it" xml:space="preserve">¶ De ortu Solis & quantitate diei. <lb/>CAP. VIII.</head> <p> <s xml:id="echoid-s3001" xml:space="preserve">COllocata pinnula quæ inter rimulam mouetur ad men <lb/>ſem eiusq́ue diem, quo hæc perdiſcere animus eſt, vel ſe <lb/>cundum doctrinam tertij capitis, circumage interiorem <lb/>orbem eouſque donec latus illud quod pinnulam eam <lb/>defert, ſit in latere æquatoris collocatum occidentali ſi <lb/>ue pomeridiano. </s> <s xml:id="echoid-s3002" xml:space="preserve">Deinde ſupputatis hinc inde ab eleuatione poli ſi-<lb/>ue latitudine regionis nonagenis partibus in meridiano circulo, aut <lb/>ſupputata eadem latitu. </s> <s xml:id="echoid-s3003" xml:space="preserve">ab vtroque polorum verſus æquatorem, al-<lb/>liga filum ex oppoſitis per medi<unsure/>um annulum partibus. </s> <s xml:id="echoid-s3004" xml:space="preserve">Deinde alte-<lb/>ro oculo compreſſo, circumage interiorem annulum, donec ſimul <lb/>aſpicias pinnulam in linea quam filum extentum per medium annu <lb/>lum deſcribit, & </s> <s xml:id="echoid-s3005" xml:space="preserve">per medios ſulcos qui in horis ſextis oppoſitis facti <lb/>ſunt, oculi acies tranſeat. </s> <s xml:id="echoid-s3006" xml:space="preserve">Nam in tali ſitu linea media annuli inte-<lb/>rioris horam indicabit qua ſol oritur, quam ſi ex. </s> <s xml:id="echoid-s3007" xml:space="preserve">12. </s> <s xml:id="echoid-s3008" xml:space="preserve">ſubduxeris, <lb/>reſtabit hora occaſus. </s> <s xml:id="echoid-s3009" xml:space="preserve">Hanc autem duplica, emerget quantitas diei <lb/>propoſiti. </s> <s xml:id="echoid-s3010" xml:space="preserve">Hæc res ſine demonſtratione ad oculum vix intelligi po-<lb/>teſt. </s> <s xml:id="echoid-s3011" xml:space="preserve">At ſi annulus interior pinnulas habuerit mobiles, alia via ac fa-<lb/>ciliori licebit idem præſtare ſine filo. </s> <s xml:id="echoid-s3012" xml:space="preserve">Clauſo ergo annulo & </s> <s xml:id="echoid-s3013" xml:space="preserve">pinnulis <lb/>ad medium æquatorem locatis, filoq́ue in polo ligato, & </s> <s xml:id="echoid-s3014" xml:space="preserve">ex manu de <lb/>pendente, aſpice per vtranque pinnulam locum aliquem aut ſignum <lb/>longè à te remotum, quod horizontis vice fungetur. </s> <s xml:id="echoid-s3015" xml:space="preserve">Deinde poſi-<lb/>tis pinnulis ex. </s> <s xml:id="echoid-s3016" xml:space="preserve">3. </s> <s xml:id="echoid-s3017" xml:space="preserve">cap. </s> <s xml:id="echoid-s3018" xml:space="preserve">ad ſignum & </s> <s xml:id="echoid-s3019" xml:space="preserve">menſem, collocetur pinnula ſupe-<lb/>rior in æſtate, inferior in hyeme ad horas ante meridiem. </s> <s xml:id="echoid-s3020" xml:space="preserve">Deinde <lb/>pendente annulo per filum ex latitudine tua, circumage interiorem <lb/>annulum donec oculus per vtranque pinnulam viſu tranſeat ad pun <lb/>ctum ſiue ſignum antea loco horizontis notatum, videbis enim vt an <lb/>tè horam ortus ſolis. </s> <s xml:id="echoid-s3021" xml:space="preserve">Reliqua non variantur.</s> <s xml:id="echoid-s3022" xml:space="preserve"/> </p> <pb file="128" n="128" rhead="VSVS ANNVLI"/> </div> <div xml:id="echoid-div141" type="section" level="1" n="132"> <head xml:id="echoid-head146" style="it" xml:space="preserve">¶ De horis inæqualib. ſiue Planetarum. <lb/>CAP. IX.</head> <p> <s xml:id="echoid-s3023" xml:space="preserve">DIem Aſtronomi duplicem aſſignant, Naturalem viginti <lb/>& </s> <s xml:id="echoid-s3024" xml:space="preserve">quatuor conſtantem horis, ſemper fere<unsure/> æqualem. </s> <s xml:id="echoid-s3025" xml:space="preserve">Ar-<lb/>tificialem duodenis complexũ horis. </s> <s xml:id="echoid-s3026" xml:space="preserve">At hic cùm ab or-<lb/>tu Solis ad eiuſdẽ occaſum ſumatur, illudq́; </s> <s xml:id="echoid-s3027" xml:space="preserve">interſtitium <lb/>in omni<unsure/>bus regionibus ab orbe medio declinantibus diuerſum ſit & </s> <s xml:id="echoid-s3028" xml:space="preserve"><lb/>inæquale, neceſſe eſt horas huinſmodi, quæ diem hunc in. </s> <s xml:id="echoid-s3029" xml:space="preserve">12. </s> <s xml:id="echoid-s3030" xml:space="preserve">æquas <lb/>partes diuidunt, inæquales eſſe ſæpius. </s> <s xml:id="echoid-s3031" xml:space="preserve">Nam cùm dies noctem exce-<lb/>dit, neceſſe eſt horas diei eadem ratione horas noctis ſuperare. </s> <s xml:id="echoid-s3032" xml:space="preserve">Inuen-<lb/>turus ergo quota ſit hora diei inæqualis, primò quære quantitatem <lb/>diei per præmiſſam, inuentam diuide in. </s> <s xml:id="echoid-s3033" xml:space="preserve">12. </s> <s xml:id="echoid-s3034" xml:space="preserve">partes æquas, nam ita tibi <lb/>quantitas vnius horę inæqualis pioducetur, qua comperta vide quot <lb/>ſint horæ æquales elapſæ ab ortu Solis ad tempus propoſitũ, tempus <lb/>illud diuide per quantitatẽ vnius horæ inæqualis, exibit demum ho-<lb/>ra inæqualis temporis præfiniti. </s> <s xml:id="echoid-s3035" xml:space="preserve">Eodem modo per noctẽ agitur, ſub-<lb/>ducta enim quantitate diei ex. </s> <s xml:id="echoid-s3036" xml:space="preserve">24. </s> <s xml:id="echoid-s3037" xml:space="preserve">horis, relinquitur quantitas noctis, <lb/>quod tempus rurſus partire in. </s> <s xml:id="echoid-s3038" xml:space="preserve">12. </s> <s xml:id="echoid-s3039" xml:space="preserve">æquas: </s> <s xml:id="echoid-s3040" xml:space="preserve">habebis eo modo quantita-<lb/>tem vnius horæ inæqualis. </s> <s xml:id="echoid-s3041" xml:space="preserve">Vel habita hora inæquali diei, aufer eam <lb/>ex duarum horarum æqualium quantitate, & </s> <s xml:id="echoid-s3042" xml:space="preserve">reſtabit quantitas ho-<lb/>ræ inæqualis noc<unsure/>t<unsure/>urnæ. </s> <s xml:id="echoid-s3043" xml:space="preserve">Demum diuide tempus elapſum ab occaſu <lb/>Solis per eam quantitatem horæ, exibit hora quæſita. </s> <s xml:id="echoid-s3044" xml:space="preserve">In his autem <lb/>partitionibus vtile fuerit horas quantitatis diei ad minu. </s> <s xml:id="echoid-s3045" xml:space="preserve">reducere, <lb/>quod quomodo fiat, etiam cuiuis notum eſt. </s> <s xml:id="echoid-s3046" xml:space="preserve">His autem ſingulis ho-<lb/>ris ſingulum attribuebãt veteres dominatorem ex planetis ſeptem, <lb/>atque hine<unsure/> orta ſunt nomina dierum apud ethnicos inſtituta. </s> <s xml:id="echoid-s3047" xml:space="preserve">Si e-<lb/>nim à Luna inceperis in die Lunæ, & </s> <s xml:id="echoid-s3048" xml:space="preserve">cuique planetarum vnam ex. </s> <s xml:id="echoid-s3049" xml:space="preserve">24 <lb/>horis dederis, tum. </s> <s xml:id="echoid-s3050" xml:space="preserve">25. </s> <s xml:id="echoid-s3051" xml:space="preserve">quæ eſt prima ſequentis diei accidet Marti. <lb/></s> <s xml:id="echoid-s3052" xml:space="preserve">Hinc fit, vt dierum nomina ſint interrupta: </s> <s xml:id="echoid-s3053" xml:space="preserve">non enim poſt Lunæ <lb/>diem ſequitur Saturni, ſed Martis Poſt hunc non Solis neque Vene-<lb/>ris, ſed Mercurij dies, atque ita deinceps. </s> <s xml:id="echoid-s3054" xml:space="preserve">Facile igitur fuerit cuiuis <lb/>habita hora inæquali, eius dominatorem reperire. </s> <s xml:id="echoid-s3055" xml:space="preserve">Prima enim hora <lb/>ſemper cedit planetæ à quo dies nomen habet. </s> <s xml:id="echoid-s3056" xml:space="preserve">Deinde per ordinem <lb/>inceditur planetarũ à ſuperioribus ad inferiores: </s> <s xml:id="echoid-s3057" xml:space="preserve">ab his rurſus redeun <lb/>do ad illos donec completæ ſint. </s> <s xml:id="echoid-s3058" xml:space="preserve">24. </s> <s xml:id="echoid-s3059" xml:space="preserve">horæ.</s> <s xml:id="echoid-s3060" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div142" type="section" level="1" n="133"> <head xml:id="echoid-head147" style="it" xml:space="preserve">¶ Quota ſit hora ab ortu vel occaſu Solis, qui mos <lb/>Italiæ ferè eſt. CAP. X.</head> <p> <s xml:id="echoid-s3061" xml:space="preserve">OVibuſdam regionibus mos eſt, ab ortu Solis in ſeque<unsure/>tem <lb/>ortum horas ſupputare, nonnullis ab occaſu, vtrunque <lb/>facili negotio habebitur. </s> <s xml:id="echoid-s3062" xml:space="preserve">Si igitur libet indagare quota <lb/>ſit hora ab ortu Solis, quære per præcedens Cap. </s> <s xml:id="echoid-s3063" xml:space="preserve">quota <lb/>hora ſol oriatur pro noſtra conſuetudine. </s> <s xml:id="echoid-s3064" xml:space="preserve">Secundò vide quota ſit e-<lb/>tiam hora pro more noſtro, quæ ſi fuerit ante meridiem, ſubduc ex <lb/>illis horas ortus Solis: </s> <s xml:id="echoid-s3065" xml:space="preserve">ſin poſt meridiem fuerit, adde horas occaſus <lb/>Solis, emergent horæ elapſæ ab ortu Solis. </s> <s xml:id="echoid-s3066" xml:space="preserve">Vt ſi Sol oriatur ad no- <pb o="Fo.62." file="129" n="129" rhead="ASTRONOMICI."/> ſtram conſuetudinẽ hora. </s> <s xml:id="echoid-s3067" xml:space="preserve">5. </s> <s xml:id="echoid-s3068" xml:space="preserve">index verò indicet horã. </s> <s xml:id="echoid-s3069" xml:space="preserve">10. </s> <s xml:id="echoid-s3070" xml:space="preserve">& </s> <s xml:id="echoid-s3071" xml:space="preserve">quadran <lb/>tem, ſubduc hinc horas. </s> <s xml:id="echoid-s3072" xml:space="preserve">5. </s> <s xml:id="echoid-s3073" xml:space="preserve">reſtant. </s> <s xml:id="echoid-s3074" xml:space="preserve">5. </s> <s xml:id="echoid-s3075" xml:space="preserve">cũ quadrã<unsure/>te, horæ ob ortu ſolis <lb/>elapſæ. </s> <s xml:id="echoid-s3076" xml:space="preserve">Hinc legimus apud Perſium, quinta cum linea tangitur v@ <lb/>bra. </s> <s xml:id="echoid-s3077" xml:space="preserve">Simili ratione ſi placet horas ab occaſu tranſactas arte inueſti-<lb/>gare. </s> <s xml:id="echoid-s3078" xml:space="preserve">Primùm quære horã occaſus ſecundũ vſum nobis familiarẽ, <lb/>deinde pro eodem vſu quota ſit hora, quæ ſi rurſus fuerit ante me-<lb/>diam noctem, aufer hinc horam occaſus: </s> <s xml:id="echoid-s3079" xml:space="preserve">ſi poſt mediam noctẽ, ad-<lb/>de horam ortus Solis, votis potieris. </s> <s xml:id="echoid-s3080" xml:space="preserve">Vt demus, Solẽ noſtro more oc-<lb/>cidere hora. </s> <s xml:id="echoid-s3081" xml:space="preserve">7. </s> <s xml:id="echoid-s3082" xml:space="preserve">ſi@q́; </s> <s xml:id="echoid-s3083" xml:space="preserve">iam hora. </s> <s xml:id="echoid-s3084" xml:space="preserve">10. </s> <s xml:id="echoid-s3085" xml:space="preserve">cum ſemiſſe ante mediam noctem, <lb/>aufer. </s> <s xml:id="echoid-s3086" xml:space="preserve">7. </s> <s xml:id="echoid-s3087" xml:space="preserve">ex. </s> <s xml:id="echoid-s3088" xml:space="preserve">10. </s> <s xml:id="echoid-s3089" xml:space="preserve">reſtant. </s> <s xml:id="echoid-s3090" xml:space="preserve">3. </s> <s xml:id="echoid-s3091" xml:space="preserve">cum ſemiſſe horæ, quas ab occaſu ſol confe <lb/>cit. </s> <s xml:id="echoid-s3092" xml:space="preserve">At ſi horam primã poſt noctẽ mediam Index ſignifi cauerit, ad-<lb/>de horas ortus quę ſunt. </s> <s xml:id="echoid-s3093" xml:space="preserve">5. </s> <s xml:id="echoid-s3094" xml:space="preserve">fient itaq; </s> <s xml:id="echoid-s3095" xml:space="preserve">horę 6. </s> <s xml:id="echoid-s3096" xml:space="preserve">Quibuſdam etiã mos <lb/>eſt. </s> <s xml:id="echoid-s3097" xml:space="preserve">24 horas numerare, ij ſi ab occaſu initium fecerint, fueritq́; </s> <s xml:id="echoid-s3098" xml:space="preserve">tem <lb/>pus pomeridianum, horas ab Indice notatas adijciant cum horis or <lb/>tus, quibus deinceps. </s> <s xml:id="echoid-s3099" xml:space="preserve">12. </s> <s xml:id="echoid-s3100" xml:space="preserve">coniungãt. </s> <s xml:id="echoid-s3101" xml:space="preserve">Sin ab ortu cœperint, ij ad horas <lb/>poſt mediam noctẽ elapſas adijciant &</s> <s xml:id="echoid-s3102" xml:space="preserve">. 12. </s> <s xml:id="echoid-s3103" xml:space="preserve">horas, & </s> <s xml:id="echoid-s3104" xml:space="preserve">horas occaſus <lb/>Solis, ita tandẽ colligetur verũ ab ortu elapſum tempus. </s> <s xml:id="echoid-s3105" xml:space="preserve">Qui verò <lb/>12. </s> <s xml:id="echoid-s3106" xml:space="preserve">tantùm numerant, ij quicquid vltra. </s> <s xml:id="echoid-s3107" xml:space="preserve">12. </s> <s xml:id="echoid-s3108" xml:space="preserve">excreuerit, abijciant.</s> <s xml:id="echoid-s3109" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div143" type="section" level="1" n="134"> <head xml:id="echoid-head148" style="it" xml:space="preserve">¶ Plagas mundi quomodo inuenias. Cap. XI.</head> <p> <s xml:id="echoid-s3110" xml:space="preserve">QVouis tempore cùm annuli officio horam inueſtigas, ſi-<lb/>ue id interdiu accidat, ſiue noctu, annulũ ex manu depen <lb/>dentem etiã ad Solem aut ſtellam directum, intrepidum <lb/>ſeruato & </s> <s xml:id="echoid-s3111" xml:space="preserve">fixum. </s> <s xml:id="echoid-s3112" xml:space="preserve">Orbis enim extremus ſtatim Auſtrũ & </s> <s xml:id="echoid-s3113" xml:space="preserve"><lb/>Septentrionẽ indicat. </s> <s xml:id="echoid-s3114" xml:space="preserve">Septentrionẽ quidẽ ad eam partem ad quam à <lb/>filo declinat polus annuli, Auſtrũ ad oppoſitã, Orientẽ, occidentem, <lb/>& </s> <s xml:id="echoid-s3115" xml:space="preserve">reliquas deinceps, quiuis, niſi planè rudis fuerit, facile his duabus <lb/>habitis inueniet. </s> <s xml:id="echoid-s3116" xml:space="preserve">Oriens enim & </s> <s xml:id="echoid-s3117" xml:space="preserve">Occidẽs, quorũ præcipua etiã cura <lb/>eſt, per horã ſextã ſecundi orbis denotantur. </s> <s xml:id="echoid-s3118" xml:space="preserve">Venti<unsure/> autem ſeptentrio <lb/>nales frigidiſſimi ſunt, & </s> <s xml:id="echoid-s3119" xml:space="preserve">nonnunquam ſicci, nonnunquam humidi, <lb/>hominibus quidẽ ſatis conueniẽtes, ſanguineis & </s> <s xml:id="echoid-s3120" xml:space="preserve">iuuenibus, quum <lb/>eorum conſeruant naturã: </s> <s xml:id="echoid-s3121" xml:space="preserve">verũ frigus ſi homini inſit à natura etiam <lb/>augent. </s> <s xml:id="echoid-s3122" xml:space="preserve">Orientales ſicci ſunt, interdũ calidi, interdũ frigidi. </s> <s xml:id="echoid-s3123" xml:space="preserve">Auſtra-<lb/>les calidi ſunt, maxima ex parte humidi, interim ſicci, corrumpentes <lb/>aërem, fulminoſi, ac inſalubres. </s> <s xml:id="echoid-s3124" xml:space="preserve">Occidentales humidi ferè ſunt, par-<lb/>timq́; </s> <s xml:id="echoid-s3125" xml:space="preserve">frigidi, partim calidi, de quibus apud Victruuium elegantiſs.</s> <s xml:id="echoid-s3126" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div144" type="section" level="1" n="135"> <head xml:id="echoid-head149" style="it" xml:space="preserve">¶ De altitudine Solis & Stellarum. Cap. XII.</head> <p> <s xml:id="echoid-s3127" xml:space="preserve">ALtitudo Solis dicitur (non vt vulgus iudicat, quantũ ſci <lb/>licet à terrę centro diſtat) ſed quot gradibus ſupra Fini <lb/>torem eleuetur ſol, vel ſtella verſus noſtrum verticem. <lb/></s> <s xml:id="echoid-s3128" xml:space="preserve">Idq́; </s> <s xml:id="echoid-s3129" xml:space="preserve">ita facile inuenitur. </s> <s xml:id="echoid-s3130" xml:space="preserve">Complicatũ annulũ filo quo-<lb/>uis ſuſpẽde, ita, vt filũ in gradibus nonaginta ꝗ inſcripti ſunt annu <lb/>lo interiori ſurſum & </s> <s xml:id="echoid-s3131" xml:space="preserve">deorſum paulatim moueri poſſit. </s> <s xml:id="echoid-s3132" xml:space="preserve">Hoc eouſq; </s> <s xml:id="echoid-s3133" xml:space="preserve"><lb/>faciendũ, donec v@bra ſolis ab vna piunularũ in aliã proijciatur, <pb file="130" n="130" rhead="REGIONVM ET LOCO."/> tum enim filum inter gradus altitudinẽ Solis oſtendet. </s> <s xml:id="echoid-s3134" xml:space="preserve">Noctu per <lb/>viſum neceſſe erit facere, quum ſtellæ vmbras non proijciunt. </s> <s xml:id="echoid-s3135" xml:space="preserve">Si <lb/>quis igitur decimo die Martij aut decimatertia Septẽbris altitudi-<lb/>nem Solis in meridie obſeruatã ex nonagenis gradibus ſubduxe-<lb/>rit, inueniet latitudinẽ regionis. </s> <s xml:id="echoid-s3136" xml:space="preserve">At quoniã hanc ſuperius ad omnẽ <lb/>nõ ſolùm diem, verùm etiam horam inuenire docuerimus, inpræ-<lb/>ſentiarum hanc viam conſultò prætermittimus. </s> <s xml:id="echoid-s3137" xml:space="preserve">Mobiles autẽ pin <lb/>nulæ ante omnia promoueantur ad æquatorem medium, id quod <lb/>in ſequentibus perpetuum eſt.</s> <s xml:id="echoid-s3138" xml:space="preserve"/> </p> <figure> <image file="130-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/130-01"/> </figure> </div> <div xml:id="echoid-div145" type="section" level="1" n="136"> <head xml:id="echoid-head150" style="it" xml:space="preserve">¶ A ltitudinum dimenſio per vmbras. Cap. XIII.</head> <p> <s xml:id="echoid-s3139" xml:space="preserve">IN interiori annulo circa alterum polorũ. </s> <s xml:id="echoid-s3140" xml:space="preserve">12. </s> <s xml:id="echoid-s3141" xml:space="preserve">hincinde <lb/>inſcripſimus partes inæquales, quæ dimenſionibus in-<lb/>ſeruient. </s> <s xml:id="echoid-s3142" xml:space="preserve">Lucente igitur Sole, ſi per vmbras placet di-<lb/>metiri altitudines rerum, Complicatũ annulum ex ma <lb/>nu ſuſpendito per filum quod per partes ſcalæ (ſic enim vocamus <lb/>eas) ſurſum deorſumve moueri poſſit, & </s> <s xml:id="echoid-s3143" xml:space="preserve">latere annuli obiecto <lb/>Soli, eleua eum annulum eouſque quò vmbra pinnulæ ſuperiori <lb/>proijciatur in pinnulam inferiorem, & </s> <s xml:id="echoid-s3144" xml:space="preserve">ſimnl nota diligẽter in quã <lb/>partem tum incidat filum quod annulum detinet. </s> <s xml:id="echoid-s3145" xml:space="preserve">Si enim in. </s> <s xml:id="echoid-s3146" xml:space="preserve">12. <lb/></s> <s xml:id="echoid-s3147" xml:space="preserve">parte id fuerit, tum vmbræ omnium rerũ æquales ſunt ſuis rebus. </s> <s xml:id="echoid-s3148" xml:space="preserve"><lb/>Quare ſi cuipiam nota fuerit altera, facilè in notitiam alterius deue <lb/>niet, quando quidem æquales ſunt. </s> <s xml:id="echoid-s3149" xml:space="preserve">At ſi filum depręhenſum fuerit<unsure/> <lb/>inter partes propiores pinnulæ, quæ vmbræ rectæ dicuntur, tum <lb/>ſemper res quæuis erecta ſuperat vmbram ſuam, atq; </s> <s xml:id="echoid-s3150" xml:space="preserve">idipſum ea ra <pb o="Fo.63." file="131" n="131" rhead="ASTRONOMICI."/> tione qua. </s> <s xml:id="echoid-s3151" xml:space="preserve">12. </s> <s xml:id="echoid-s3152" xml:space="preserve">excedunt partes in quibus fuerit filum. </s> <s xml:id="echoid-s3153" xml:space="preserve">Si ergo in prima <lb/>fuerit parte, vmbram duodecies accipito. </s> <s xml:id="echoid-s3154" xml:space="preserve">In ſecunda ſexies. </s> <s xml:id="echoid-s3155" xml:space="preserve">In tertia <lb/>quater. </s> <s xml:id="echoid-s3156" xml:space="preserve">In quarta ter. </s> <s xml:id="echoid-s3157" xml:space="preserve">In quinta bis, & </s> <s xml:id="echoid-s3158" xml:space="preserve">inſuper duas quintas partes <lb/>vmbræ. </s> <s xml:id="echoid-s3159" xml:space="preserve">In ſexta bis. </s> <s xml:id="echoid-s3160" xml:space="preserve">In ſeptima ſemel, & </s> <s xml:id="echoid-s3161" xml:space="preserve">quinque ſeptimas vmbræ <lb/>partes. </s> <s xml:id="echoid-s3162" xml:space="preserve">In octaua ſemel & </s> <s xml:id="echoid-s3163" xml:space="preserve">dimidiam. </s> <s xml:id="echoid-s3164" xml:space="preserve">In nona ſemel, & </s> <s xml:id="echoid-s3165" xml:space="preserve">tertiam vm-<lb/>bræ partem. </s> <s xml:id="echoid-s3166" xml:space="preserve">In decima ſemel & </s> <s xml:id="echoid-s3167" xml:space="preserve">quintam vmbræ partem. </s> <s xml:id="echoid-s3168" xml:space="preserve">In vnde-<lb/>cima tandem accipias vmbram ſemel & </s> <s xml:id="echoid-s3169" xml:space="preserve">vnam eius vndecimam par-<lb/>tem. </s> <s xml:id="echoid-s3170" xml:space="preserve">Aut breuibus, ſi Arithmeticus fueris, multiplica vmbræ longi-<lb/>tud. </s> <s xml:id="echoid-s3171" xml:space="preserve">per.</s> <s xml:id="echoid-s3172" xml:space="preserve">12. </s> <s xml:id="echoid-s3173" xml:space="preserve">productum partire per partes in quibus filum deprehen-<lb/>diſti, prodibit ſemper altitudo ipſius rei. </s> <s xml:id="echoid-s3174" xml:space="preserve">Verùm ſi inter partes remo-<lb/>tiores, quas vmbræ verſæ partes vocamus (quæ ſunt ſcilicet vltra po-<lb/>lum) deprehẽſum fuerit filum, tum vmbræ ſemper maiores ſunt ſuis <lb/>rebus, idq́ue rurſum eo exceſſu qui eſt. </s> <s xml:id="echoid-s3175" xml:space="preserve">12. </s> <s xml:id="echoid-s3176" xml:space="preserve">ad partes notatas per filum. <lb/></s> <s xml:id="echoid-s3177" xml:space="preserve">Hic ergo multiplica vmbrarum longitud. </s> <s xml:id="echoid-s3178" xml:space="preserve">per partes à filo notatas. </s> <s xml:id="echoid-s3179" xml:space="preserve"><lb/>Hinc productum diuide per.</s> <s xml:id="echoid-s3180" xml:space="preserve">12. </s> <s xml:id="echoid-s3181" xml:space="preserve">prodibit altitud. </s> <s xml:id="echoid-s3182" xml:space="preserve">rei metiendæ. </s> <s xml:id="echoid-s3183" xml:space="preserve">Vt ſi <lb/>filum notauerit. </s> <s xml:id="echoid-s3184" xml:space="preserve">7. </s> <s xml:id="echoid-s3185" xml:space="preserve">partes vmbræ rectæ, vmbra autem fuerit. </s> <s xml:id="echoid-s3186" xml:space="preserve">120. </s> <s xml:id="echoid-s3187" xml:space="preserve">pe-<lb/>dum. </s> <s xml:id="echoid-s3188" xml:space="preserve">Duc. </s> <s xml:id="echoid-s3189" xml:space="preserve">12. </s> <s xml:id="echoid-s3190" xml:space="preserve">in. </s> <s xml:id="echoid-s3191" xml:space="preserve">210. </s> <s xml:id="echoid-s3192" xml:space="preserve">exeunt. </s> <s xml:id="echoid-s3193" xml:space="preserve">2520. </s> <s xml:id="echoid-s3194" xml:space="preserve">quæ partire per. </s> <s xml:id="echoid-s3195" xml:space="preserve">7. </s> <s xml:id="echoid-s3196" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s3197" xml:space="preserve">360. </s> <s xml:id="echoid-s3198" xml:space="preserve">ea eſt <lb/>altitudo rei cuius vmbra. </s> <s xml:id="echoid-s3199" xml:space="preserve">210. </s> <s xml:id="echoid-s3200" xml:space="preserve">pedes obtinuit.</s> <s xml:id="echoid-s3201" xml:space="preserve"/> </p> <figure> <image file="131-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/131-01"/> </figure> </div> <div xml:id="echoid-div146" type="section" level="1" n="137"> <head xml:id="echoid-head151" style="it" xml:space="preserve">¶ De altitudine per ſolum viſum. <lb/>CAP. XIIII.</head> <p> <s xml:id="echoid-s3202" xml:space="preserve">EOdem modo, quo de vmbra diximus, licet etiam ſolo <lb/>viſu procedere. </s> <s xml:id="echoid-s3203" xml:space="preserve">Suſpenſo enim annulo per filum in par <lb/>te duodecima ſcalæ, ſi eouſq; </s> <s xml:id="echoid-s3204" xml:space="preserve">aut acceſſeris aut receſſe-<lb/>ris, donec faſtigium rei metiendæ ad vtramq; </s> <s xml:id="echoid-s3205" xml:space="preserve">pinnulam <lb/>appareat. </s> <s xml:id="echoid-s3206" xml:space="preserve">Tum ſi diſtantiam tuam dimenſus fueris à <lb/>r<unsure/>emetienda, ſimul habebis altitudinem ipſius, ab oculo tuo ſurſum.</s> <s xml:id="echoid-s3207" xml:space="preserve"> <pb file="132" n="132" rhead="VSVS ANNVLI"/> At ſi quocunq; </s> <s xml:id="echoid-s3208" xml:space="preserve">loco conſtiteris, placeat dimetiri altitudinem rei, <lb/>Suſpenſo annulo, liga filum ſusq́ deq́ per partes ſcalæ, donec ad <lb/>vtranq; </s> <s xml:id="echoid-s3209" xml:space="preserve">pinnulá appareat rei cacumen: </s> <s xml:id="echoid-s3210" xml:space="preserve">Notaq́ diligéter in quam <lb/>partem ſcalæ incidat ſilum, Quæ ſi fuerit vmbræ rectæ (vocamus <lb/>autem vmbrã rectam, omnes partes à pinnula vſq; </s> <s xml:id="echoid-s3211" xml:space="preserve">ad. </s> <s xml:id="echoid-s3212" xml:space="preserve">12: </s> <s xml:id="echoid-s3213" xml:space="preserve">reliquas <lb/>vmbram verſam) multiplica tum diſtantiã per. </s> <s xml:id="echoid-s3214" xml:space="preserve">12: </s> <s xml:id="echoid-s3215" xml:space="preserve">procreatũ de-<lb/>inde numerum diuide per partes à filo notatas, redit rei vera alti-<lb/>tudo ab oculo ſurſum. </s> <s xml:id="echoid-s3216" xml:space="preserve">Si fuerint partes vmbræ verſæ, econtrà mul-<lb/>tiplica diſtantiam per partes notatas à filo, prouenientem hinc di <lb/>uide per. </s> <s xml:id="echoid-s3217" xml:space="preserve">12. </s> <s xml:id="echoid-s3218" xml:space="preserve">habebis rurſus altitud. </s> <s xml:id="echoid-s3219" xml:space="preserve">rei metiendæ quæſitam. </s> <s xml:id="echoid-s3220" xml:space="preserve">Huic <lb/>ſemper addenda erit altitudo oculi deorſum. </s> <s xml:id="echoid-s3221" xml:space="preserve">Verbi gratia: </s> <s xml:id="echoid-s3222" xml:space="preserve">Nota-<lb/>uerit filum. </s> <s xml:id="echoid-s3223" xml:space="preserve">8. </s> <s xml:id="echoid-s3224" xml:space="preserve">partes vmbræ verſæ, ſitq́; </s> <s xml:id="echoid-s3225" xml:space="preserve">diſtantia. </s> <s xml:id="echoid-s3226" xml:space="preserve">60. </s> <s xml:id="echoid-s3227" xml:space="preserve">pedum, eam <lb/>in. </s> <s xml:id="echoid-s3228" xml:space="preserve">8. </s> <s xml:id="echoid-s3229" xml:space="preserve">ducito, fiunt. </s> <s xml:id="echoid-s3230" xml:space="preserve">480. </s> <s xml:id="echoid-s3231" xml:space="preserve">quam ſi per. </s> <s xml:id="echoid-s3232" xml:space="preserve">12. </s> <s xml:id="echoid-s3233" xml:space="preserve">partitus fueris, exibit altitu <lb/>do rei menſuratæ ſupra tuum oculum. </s> <s xml:id="echoid-s3234" xml:space="preserve">40 pedum.</s> <s xml:id="echoid-s3235" xml:space="preserve"/> </p> <figure> <image file="132-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/132-01"/> </figure> </div> <div xml:id="echoid-div147" type="section" level="1" n="138"> <head xml:id="echoid-head152" style="it" xml:space="preserve">¶ De altitudinibus rerum inacceſsibilium. Cap. XV.</head> <p> <s xml:id="echoid-s3236" xml:space="preserve">ACcidit autem vt plurimũ, vt diſtãtia propter aliquod <lb/>impedimentum ita prompte haberi non poſſit, quare <lb/>aliter dimetiri cogimur. </s> <s xml:id="echoid-s3237" xml:space="preserve">Atq; </s> <s xml:id="echoid-s3238" xml:space="preserve">hic imprimis neceſſariũ <lb/>eſt, reducere partes vmbræ verſæ ad partes vmbræ re-<lb/>ctæ, quod ita fit: </s> <s xml:id="echoid-s3239" xml:space="preserve">Multiplica in ſe. </s> <s xml:id="echoid-s3240" xml:space="preserve">12. </s> <s xml:id="echoid-s3241" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s3242" xml:space="preserve">144. </s> <s xml:id="echoid-s3243" xml:space="preserve">quæ di-<lb/>uide per quaſuis partes vmbræ verſæ, fient eo modo tanquam par <lb/>tes vmbræ rectæ. </s> <s xml:id="echoid-s3244" xml:space="preserve">l<unsure/>am verò accepturus altitudinẽ alicuius rei, con-<lb/>ſiſte in plano, & </s> <s xml:id="echoid-s3245" xml:space="preserve">ſuſpenſo annulo filũ alligato fusq́; </s> <s xml:id="echoid-s3246" xml:space="preserve">deq́; </s> <s xml:id="echoid-s3247" xml:space="preserve">donec pin <lb/>nulis reſpódeat vertex rei metiendæ, atq; </s> <s xml:id="echoid-s3248" xml:space="preserve">parres à filo notatas ſcri <lb/>bito, locumq́; </s> <s xml:id="echoid-s3249" xml:space="preserve">ſtationis ſignato, Deinde aut accedito aut retroce- <pb o="Fo.64." file="133" n="133" rhead="ASTRONOMICI."/> dito pro loci commoditate quantum placet, recta tamen via ad rem <lb/>metiendam. </s> <s xml:id="echoid-s3250" xml:space="preserve">Et rurſus vt prius per annulum aſpicito. </s> <s xml:id="echoid-s3251" xml:space="preserve">Tum ſi alicu-<lb/>bi fuerint notatæ partes vmbræ verſæ, eas ad rectam reducito viam <lb/>quam diximus. </s> <s xml:id="echoid-s3252" xml:space="preserve">Metire etiam diſtantiam inter duo loca ſtationum. <lb/></s> <s xml:id="echoid-s3253" xml:space="preserve">Subducantur ergo partes minores à maioribus, reſiduum pro diuiſo-<lb/>re ſeruato. </s> <s xml:id="echoid-s3254" xml:space="preserve">Demum multiplicato diſtantiam per. </s> <s xml:id="echoid-s3255" xml:space="preserve">12. </s> <s xml:id="echoid-s3256" xml:space="preserve">productum per <lb/>diuiſorem ſeruatum diuidito: </s> <s xml:id="echoid-s3257" xml:space="preserve">quod ex huiuſmodi diuiſione proue-<lb/>niet, altitudinem rei metiendæ proculdubio manifeſtabit ab oculo <lb/>ſurſum. </s> <s xml:id="echoid-s3258" xml:space="preserve">Vt fingamus filum in prima conſtitutione notaſſe. </s> <s xml:id="echoid-s3259" xml:space="preserve">8. </s> <s xml:id="echoid-s3260" xml:space="preserve">partes <lb/>vmbrę rectę, in ſecunda. </s> <s xml:id="echoid-s3261" xml:space="preserve">9. </s> <s xml:id="echoid-s3262" xml:space="preserve">partes vmbræ verſæ, quæ valent. </s> <s xml:id="echoid-s3263" xml:space="preserve">16. </s> <s xml:id="echoid-s3264" xml:space="preserve">partes <lb/>vmbræ rectæ, ſitq́ue diſtantia inter duo loca ſtationum. </s> <s xml:id="echoid-s3265" xml:space="preserve">120. </s> <s xml:id="echoid-s3266" xml:space="preserve">pedum, <lb/>Subduco. </s> <s xml:id="echoid-s3267" xml:space="preserve">8. </s> <s xml:id="echoid-s3268" xml:space="preserve">ex. </s> <s xml:id="echoid-s3269" xml:space="preserve">16. </s> <s xml:id="echoid-s3270" xml:space="preserve">reſtant. </s> <s xml:id="echoid-s3271" xml:space="preserve">8. </s> <s xml:id="echoid-s3272" xml:space="preserve">deinde duco. </s> <s xml:id="echoid-s3273" xml:space="preserve">12 in. </s> <s xml:id="echoid-s3274" xml:space="preserve">120. </s> <s xml:id="echoid-s3275" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s3276" xml:space="preserve">1440. </s> <s xml:id="echoid-s3277" xml:space="preserve">hunc <lb/>numerum partior per. </s> <s xml:id="echoid-s3278" xml:space="preserve">8. </s> <s xml:id="echoid-s3279" xml:space="preserve">fiunt. </s> <s xml:id="echoid-s3280" xml:space="preserve">180. </s> <s xml:id="echoid-s3281" xml:space="preserve">quæ eſt altitudo rei metiendæ.</s> <s xml:id="echoid-s3282" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div148" type="section" level="1" n="139"> <head xml:id="echoid-head153" style="it" xml:space="preserve">¶ Facilius idem. CAP. XVI.</head> <p> <s xml:id="echoid-s3283" xml:space="preserve">SEd ne ignari etiam Arithmetices hoc vſu omnino fru-<lb/>ſtrentur, ij quærant duas ſtationes accedendo aut rece-<lb/>dendo, ita vt vna ſtatione filum ſit in. </s> <s xml:id="echoid-s3284" xml:space="preserve">12. </s> <s xml:id="echoid-s3285" xml:space="preserve">altera in. </s> <s xml:id="echoid-s3286" xml:space="preserve">6. </s> <s xml:id="echoid-s3287" xml:space="preserve">vm-<lb/>bræ rectæ, tum enim ſi duplaueris diſtantia<unsure/> duarum ſta-<lb/>tionum, emerget altitudo rei metiendæ. </s> <s xml:id="echoid-s3288" xml:space="preserve">Aut vna in. </s> <s xml:id="echoid-s3289" xml:space="preserve">12. <lb/></s> <s xml:id="echoid-s3290" xml:space="preserve">alia in. </s> <s xml:id="echoid-s3291" xml:space="preserve">8. </s> <s xml:id="echoid-s3292" xml:space="preserve">vmbræ rectæ, tum diſtantiam tripla. </s> <s xml:id="echoid-s3293" xml:space="preserve">Aut vna in 12. </s> <s xml:id="echoid-s3294" xml:space="preserve">altera <lb/>in. </s> <s xml:id="echoid-s3295" xml:space="preserve">9. </s> <s xml:id="echoid-s3296" xml:space="preserve">vmbræ rectæ, quadrupla interſtitium. </s> <s xml:id="echoid-s3297" xml:space="preserve">Item ſi vna ſtatione ha-<lb/>bueris. </s> <s xml:id="echoid-s3298" xml:space="preserve">12. </s> <s xml:id="echoid-s3299" xml:space="preserve">altera. </s> <s xml:id="echoid-s3300" xml:space="preserve">8. </s> <s xml:id="echoid-s3301" xml:space="preserve">vmbræ verſæ, tum dupla interſtitium. </s> <s xml:id="echoid-s3302" xml:space="preserve">Sivna 12. </s> <s xml:id="echoid-s3303" xml:space="preserve"><lb/>altera 6. </s> <s xml:id="echoid-s3304" xml:space="preserve">vmbræ verſæ, tum ſpatium inter duas ſtationes eſt æquale <lb/>rei metiendæ. </s> <s xml:id="echoid-s3305" xml:space="preserve">Idem accidit ſi in vna ſtatione filum. </s> <s xml:id="echoid-s3306" xml:space="preserve">6. </s> <s xml:id="echoid-s3307" xml:space="preserve">vmbræ rectæ, <lb/>altera. </s> <s xml:id="echoid-s3308" xml:space="preserve">8. </s> <s xml:id="echoid-s3309" xml:space="preserve">vmbræ verſæ notauerit. </s> <s xml:id="echoid-s3310" xml:space="preserve">Vel ſi vna fuerit. </s> <s xml:id="echoid-s3311" xml:space="preserve">6. </s> <s xml:id="echoid-s3312" xml:space="preserve">vmbræ verſę, <lb/>altera. </s> <s xml:id="echoid-s3313" xml:space="preserve">4. </s> <s xml:id="echoid-s3314" xml:space="preserve">eiuſdem. </s> <s xml:id="echoid-s3315" xml:space="preserve">Vel. </s> <s xml:id="echoid-s3316" xml:space="preserve">4. </s> <s xml:id="echoid-s3317" xml:space="preserve">& </s> <s xml:id="echoid-s3318" xml:space="preserve">3. </s> <s xml:id="echoid-s3319" xml:space="preserve">eiuſdem. </s> <s xml:id="echoid-s3320" xml:space="preserve">In his enim interſtitia ſunt <lb/>æqualia rebus menſurandis.</s> <s xml:id="echoid-s3321" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div149" type="section" level="1" n="140"> <head xml:id="echoid-head154" style="it" xml:space="preserve">¶ De longitudine rerum in ædito ſitarum. <lb/>Caput. XVII.</head> <p> <s xml:id="echoid-s3322" xml:space="preserve">SI quis rerum ſurſum eleuatarum, vt feneſtrarum, ſtatua-<lb/>rum, turrium, aut ædificiorum in monte poſitorum, aut <lb/>turrium ſacris ædibus ſuperpoſitarũ, longitudines per-<lb/>diſcere velit, Is poterit primò per viam præſcriptam al-<lb/>titudinem cacuminis dimetiri, deinde altitudinem ba-<lb/>ſis, ſiue infimæ partis, ſubducta deinde altitudine minori ex altitu-<lb/>dine maiori, reſtabit longitudo ipſius rei menſuratæ. </s> <s xml:id="echoid-s3323" xml:space="preserve">Vt ſi altitudo <lb/>cacuminis fuerit. </s> <s xml:id="echoid-s3324" xml:space="preserve">300. </s> <s xml:id="echoid-s3325" xml:space="preserve">pedum, imæ verò partis. </s> <s xml:id="echoid-s3326" xml:space="preserve">200. </s> <s xml:id="echoid-s3327" xml:space="preserve">pedum, relinqui-<lb/>tur longitudo. </s> <s xml:id="echoid-s3328" xml:space="preserve">100 pedum.</s> <s xml:id="echoid-s3329" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div150" type="section" level="1" n="141"> <head xml:id="echoid-head155" style="it" xml:space="preserve">¶ Aliter idem & facillimè. Cap. XVIII.</head> <p> <s xml:id="echoid-s3330" xml:space="preserve">ALligato filo in duodecima parte ſcalæ Geometricæ, acce-<lb/>de aut retrocede donec ambæ pinnulæ faſtigio accuratiſ-<lb/>ſimè reſpondeant, ſignato deinceps loco ſtationis accede <pb file="134" n="134" rhead="VSVS ANNVLI"/> verſus rem metiendam, donec rurſus eædem pinnulæ baſi ſiue infi-<lb/>mæ parti reſpondeant. </s> <s xml:id="echoid-s3331" xml:space="preserve">Quantum igitur eſt ſpatium ab hoc loco<unsure/> <lb/>ſtationis ad priorem, tanta eſt longitudo rei menſuratæ.</s> <s xml:id="echoid-s3332" xml:space="preserve"/> </p> <figure> <image file="134-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/134-01"/> </figure> </div> <div xml:id="echoid-div151" type="section" level="1" n="142"> <head xml:id="echoid-head156" style="it" xml:space="preserve">¶ Diſtantiæ dimenſio. CAP. XIX.</head> <p> <s xml:id="echoid-s3333" xml:space="preserve">QVemadmodũ autem in altitudinibus omnino opus eſt <lb/>aliqua cognitione diſtantię, ita ediuerſo in diſtantiarum <lb/>dimenſionibus cognitio altitudinis neceſſaria eſt. </s> <s xml:id="echoid-s3334" xml:space="preserve">Qua <lb/>præcognita (oportet enim ex eleuatiori loco diſtantias <lb/>metiri) Annulum ita ſuſpendito ex manu, vt pinnula inferior termi <lb/>no diſtantiæ, ſuperior oculo tuo reſpondeat. </s> <s xml:id="echoid-s3335" xml:space="preserve">Quo facto, eleuatio-<lb/>nem oculi tui ſupra terminum viſum duodecies multiplicato, ſum-<lb/>mam per partes à filo notatas diuidito. </s> <s xml:id="echoid-s3336" xml:space="preserve">Vltimus hic numerus di-<lb/>ſtantiam rei oſtendet. </s> <s xml:id="echoid-s3337" xml:space="preserve">Qui exactiorem diſtantiæ dimetiendæ ratio-<lb/>nem velit, is libellum no@trum præcedentem de Regionum & </s> <s xml:id="echoid-s3338" xml:space="preserve">Loco-<lb/>rum deſcrip. </s> <s xml:id="echoid-s3339" xml:space="preserve">conſulat. </s> <s xml:id="echoid-s3340" xml:space="preserve">Ibi enim abſque aliquo inſtrumento longiſ-<lb/>ſimas etiam diſtantias dimetiri docemus.</s> <s xml:id="echoid-s3341" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div152" type="section" level="1" n="143"> <head xml:id="echoid-head157" style="it" xml:space="preserve">¶ De profunditatis menſuratione. CAP. XX.</head> <p> <s xml:id="echoid-s3342" xml:space="preserve">ALtitudinis & </s> <s xml:id="echoid-s3343" xml:space="preserve">profunditatis eadem fere ratio eſt, nam vt <lb/>ibi per rationem diſtantiæ colligitur altitudo, ita etiam <lb/>hic. </s> <s xml:id="echoid-s3344" xml:space="preserve">Oportet enim ex alto deſpiciente diſtantiam puncti <lb/>quem aſpicit per pinnulas annuli præſcire, atq; </s> <s xml:id="echoid-s3345" xml:space="preserve">eam nul-<lb/>la alia ratione quàm dictum eſt de altitudinibus, aut per. </s> <s xml:id="echoid-s3346" xml:space="preserve">12. </s> <s xml:id="echoid-s3347" xml:space="preserve">aut per <lb/>partes notatas à filo multiplicare, & </s> <s xml:id="echoid-s3348" xml:space="preserve">pe@terutrum diuidere pro vm-<lb/>bræ ratione quam filum occupat.</s> <s xml:id="echoid-s3349" xml:space="preserve"/> </p> <pb o="Fo.65." file="135" n="135" rhead="TABELLA LATITVDINIS"/> </div> <div xml:id="echoid-div153" type="section" level="1" n="144"> <head xml:id="echoid-head158" style="it" xml:space="preserve">Oppidorum aliquot inſigniorum.</head> <note position="right" xml:space="preserve"> <lb/>¶ Hiſpaniæ Ciui. <lb/>COmpoſtella # 44 {1/2} <lb/>Toletum # 40 <lb/>Lisbona # 39 {1/2} {1/12} <lb/>Portogalla # 41 {1/2} {1/12} <lb/>Corduba # 38 fere <lb/>Hiſpalis # 37 <lb/>Salamantica # 40 {1/4} <lb/>Cæſarauguſta # 41 <lb/>Barſalona # 41 {1/2} {1/12} <lb/>¶ Galliæ Ciuit. <lb/>Burdigalia # 46 <lb/>Rodes # 45 {1/4} <lb/>Nantes # 48 {1/5} <lb/>Aurelia # 47 {1/5} <lb/>Turonia # 47 {1/2} <lb/>Rothomagus # 49 <lb/>Bizantium # 47 {1/2} {1/16} <lb/>Lugdunum # 45 {1/6} <lb/>Vienna # 44 {1/2} {1/4} <lb/>Lutetia # 47 {1/2} {1/4} {1/6} <lb/>Geneuora # 45 {1/2} {1/4} {1/8} <lb/>Maſſilia # 43 {1/10} <lb/>Mons peſſulanus # 43 {1/22} <lb/>Toloſa # 43 {1/2} <lb/>¶ Brabantiæ, Flan-<lb/>driæ, Hollan. <lb/>Antuerpia # 51 {1/2} <lb/>Louanium # 51 <lb/>Mechlinia # 51 {1/4} <lb/>Bruxella # 51 <lb/>Gandauum # 51 {1/4} {1/6} <lb/>Brugæ # 52 {1/2} <lb/>Cales # 51 {1/2} {1/4} <lb/>Valencines # 50 {1/6} <lb/>Mittelburgũ # 51 {1/2} {1/4} {1/12} <lb/>Traiectum infe. # 52 {1/2} <lb/>Amſtelredama # 52 {2/3} <lb/>Groninga # 53 {1/4} <lb/>Suollis # 52 {2/3} {1/10} <lb/>Gheldria # 51 {2/3} <lb/>Cleuia # 52 Iuliacũ # 51 {1/2} <lb/>Aquiſgranum 51 # {1/12} <lb/>Leodium # 50 {1/2} {1/4} {1/6} <lb/>Dauentria # 52 {1/2} <lb/>¶ Germaniæ ma-<lb/>gnæ Ciuit. <lb/>Colonia # 51 <lb/>Maguntia # 50 {1/6} <lb/>Argentina # 48 {1/2} {1/4} <lb/>Baſilea # 47 {2/3} <lb/>Conſtantia # 47 {1/2} <lb/>Erfordia # 51 {1/6} <lb/>Ingolſtadium # 49 <lb/>Nurenberga # 49 {1/3} {1/12} <lb/>Ratisbona # 49 {1/6} <lb/>Vlma # 47 {1/3<unsure/>} <lb/>Auguſta # 48 {1/4} <lb/>Praga # 50 {1/12} Buda # 46 <lb/>Segina # 44 {1/2} {1/4} <lb/>Vienna Auſtriæ # 48 <lb/>Saltzeburgum # 48 <lb/>Iudeburgum # 47 <lb/>Villachum # 46 {1/3} <lb/>Brixia # 46 {1/10} <lb/>¶ Sarmatiæ. <lb/>Dantiſcum # 55 <lb/>Mons regius # 54 {1/4} <lb/>Vratislauia # 51 <lb/>Cracouia # 51 <lb/>Caſchouia # 50 Regia # 61 <lb/>Reualia # 66 <lb/>Nouogaedia # 64 <lb/>Moſcouia # 59 <lb/>¶ Cimbricæ Cherſo-<lb/>neſi, Noruegiæ, Sueuiæ. <lb/>Dania # 57 <lb/>Lubecum # 54 {1/2} {1/4} <lb/>Brunſuick # 53 <lb/>Luneburgum # 54 <lb/>Arhuſia # 57 ferè. <lb/>Rypis # 56 {1/2} {1/4} <lb/>Lundis # 57 {1/3} <lb/>Nodroſia # 60 {1/2} {1/4} {1/12} <lb/>Lincopia # 61 <lb/>Coppenhagna # 56 {1/3} <lb/>¶ Angliæ. Scotiæ. <lb/>Medium inſulæ # 54 {1/2} <lb/>Londonium vel <lb/>Londra # 52 {1/2} <lb/>Etenburgum ſco. # 57 <lb/>Efaguenſis # 57 {1/2} <lb/>Hybernia # 57 Iſlãdia # 60 <lb/>¶ Italiæ Ciuit. <lb/>Mantua # 44 {1/2} <lb/>Cremona # 44 {1/3} <lb/>Venetiæ # 44 {1/2} {1/4} 1 {1/2} <lb/>Ancona # 43 {2/3} <lb/>Roma # 41 {1/2} {1/4} 1 {1/2} <lb/>Brunduſium # 39 {2/3} <lb/>Neapolis # 41 <lb/>Florentia # 43 1 {1/2} <lb/>Mediolanum # 44 {1/2} <lb/>Genua # 43 {11/24} 1 {1/2} <lb/>Taurinum # 43 <lb/>¶ Græciæ. <lb/>Chilia # 45 {1/2} {1/4} <lb/>Andrianopolis # 42 {1/2} {1/4} <lb/>Stridona # 44 {1/2} <lb/>Dirachium # 44 {1/2} {1/4} {1/6} <lb/>Conſtantinopolis # 43 <lb/>Corinthus # 36 {3/4} {1/6} <lb/>Corona # 35 <lb/>¶ Africæ. <lb/>Tingis # 35 Feſſa 34 {2/3} <lb/>Alexandria # 31 <lb/>Chayrũ # 30 {2/4} Moſiliũ # 9 <lb/>¶ Aſiæ Ciuit. <lb/>Micomedia # 52 {1/3} <lb/>Cæſarea # 41 {2/3} <lb/>Epheſus # 37 {2/3} <lb/>Anthiochia # 37 {1/3} <lb/>Hieroſolyma # 31 {1/2} {1/3} <lb/>Mecha # 22. Callicutiũ7<unsure/> <lb/>Hiſpaniola # 20 <lb/> <lb/>Moluccæ inſulæ nul <lb/>lã habẽt latit. quia ſub <lb/>æquatore ſunt. <lb/></note> </div> <div xml:id="echoid-div154" type="section" level="1" n="145"> <head xml:id="echoid-head159" xml:space="preserve">FINIS.</head> <pb file="136" n="136"/> </div> <div xml:id="echoid-div155" type="section" level="1" n="146"> <head xml:id="echoid-head160" xml:space="preserve">Index Coſmographiæ Petri Apiani, <lb/>& Libellorum Gemmæ Friſii.</head> <note style="it" position="right" xml:space="preserve"> <lb/>¶ Primæ partis Capita. <lb/>Primum, Quid ſit Coſmographia, & quo <lb/># differat à Geographia & Chorogra-<lb/># phia. Quid Geographia. Quid Cho-<lb/># rographia # Fo.1. <lb/>II. Sphærarum motum Cœlorumq́ue di <lb/># uiſionem docet # Fo.2. <lb/>III. Quid Sphæra, quidv<unsure/>e partes & <lb/># Circuli ex quibus conſtat. # Fo.3. <lb/>IIII. De quinque Zonis Cœleſtibus <lb/># Terræq́ue globoſitatem ex Eclipſi lu-<lb/># næ demonſtrat # Fo.5. <lb/>V. De Parallelis circulis # Fo.6. <lb/>VI. De terræ climatibus # Fo.eodem <lb/>VII. Quid Longitudo terræ # Fo.7. <lb/>VIII. Quid Latitudo terræ, ſeu Eleua-<lb/># uatio poli, vnà cum Organo quo lati-<lb/># tudo terræ, ſeu Eleuatio poli demon-<lb/># ſtratur. # Fo.8. <lb/>IX. Docet Altitudinem poli, ſeu Lati-<lb/># tud{in}em terræ, nouem propoſitionibus <lb/># & ſpeciali Organo perquirere. # Fo.9. <lb/>X. Quomodo Longitudo regionis ex <lb/># Eclipſi lunæ, & Baculo A ſtronomie<unsure/>o <lb/># deprehenditur, cum ſtructura eiuſdem <lb/># Fo.12. <lb/>XI. Partes menſuræ quibus vtitur Coſ <lb/># mometra # Fo.15. <lb/>XII. Quomodo ex Stadiaſmo, Terræ am <lb/># bitus accipiatur. # Fo.eodem <lb/>XIII. Quomode distantia Ciuitat@@ <lb/># locorúmve quæ Latitudine tantú, quæ <lb/># Longitudine tantum, & quæ Latitud. <lb/># & Longitud. ſimul diſcrepant, ſit {in}ue-<lb/># nienda. # Fo.16. <lb/>XIIII. Quomodo Globus Coſmogra-<lb/># pbicus ad quatuor M{un}di card{in}es, & <lb/># ad quemo<unsure/>{un} que locum ſit ponendus, & <lb/># quomodo conſiciendus, Et quomodo li-<lb/># nea Meridiana vulgari inuentione du-<lb/># ce nda & per Inſtrumentum Azimuta-<lb/># le, & Compaſſum viatorium depræ-<lb/># hendenda<unsure/> # Fo 20. <lb/>XV. Quid ventus & quot, ſecumdum <lb/># veteres nautas: eorumq́; natura. # Fo.22 <lb/>¶ ADDITIO GEMMÆ <lb/>FRISII. <lb/>De neotericorum Hydrographorũ Ven <lb/># tis, & de Nauigandi artificio, Deq́ue <lb/># inuenienda Longitud{in}is Differentia, <lb/># cum QVADRATO nautico eiuſ-<lb/># dem. # Fo.23. <lb/>XVI. De Antipodibus ſiue Antichto-<lb/># nibus, Periœcis, Antœcis, Periſciis & <lb/># Amphiſciis. # Fo.24. <lb/>XVII. Quid Inſula, Pen{in}ſula, Isth-<lb/># mus, & Cont{in}ens, & quomodo {in}ter <lb/># ſe differant. # Fo.25. <lb/>XVIII. Qualiter vniuſcu{iu}ſque regi-<lb/># onis a<unsure/>ut loci ſitus, in tabulis Ptolemæi <lb/># ſit inueniendus # Fo.26. <lb/>XIX. Quid Speculum orbis, cuius vſus <lb/># quinq; Propoſitionibꝰ docetur. # Fo.27. <lb/>¶ Secundæ partis Capita. <lb/>I. Europæ ſummaria deſcrip. # Fo 28. <lb/>II. Africæ # Fo.29. <lb/>III. Aſiæ # Fo.eodem <lb/>IIII. Americæ # Fo.30. <lb/>¶ APPENDIX GEM. <lb/>FRISII. <lb/># De nouæ Regionis PERV deſcri-<lb/># ptione. # Fo.eodem <lb/>Carta Coſmographica, cum ventis ad <lb/># eorum naturam deliniatis ſub litera I. <lb/>V. Abacus ſiue particularis orbis deſcri <lb/># ptio, & primò Europæ # Fo.31. <lb/>Africæ # Fo.38. # Aſiæ # Fo.39. <lb/>Inſularum Europæ deſcript. # Fo.43. <lb/>Africæ # Fo.46. # Aſiæ # Fo.eodem. <lb/>Americæ & Inſularum prope Americam <lb/># deſcriptio # Eo.48. <lb/>Appendix de boris nocturnis. # Fo.eodem <lb/>GEMMÆ FRISII <lb/>De locorum deſcribendorum ratione, & <lb/># de eor um diſtantiis inueniendis libel-<lb/># lus.7.complexus capitibus # Fo.51. <lb/>Vſus Annuli Astronomici, eiuſdem Fr<unsure/>iſij <lb/># 20. capitib. conſtat. # Fo.58. <lb/></note> <pb file="137" n="137"/> </div> <div xml:id="echoid-div156" type="section" level="1" n="147"> <head xml:id="echoid-head161" style="it" xml:space="preserve">DID ACI PYRRHI LVSI-<lb/>TANI CARMEN.</head> <head xml:id="echoid-head162" style="it" xml:space="preserve">Loquitur Liber.</head> <p style="it"> <s xml:id="echoid-s3350" xml:space="preserve">GEmma mihieſt author, quis neſcit noĩa Gemmæ? <lb/></s> <s xml:id="echoid-s3351" xml:space="preserve">Quantus is ingenio, quantus & </s> <s xml:id="echoid-s3352" xml:space="preserve">arte valet? </s> <s xml:id="echoid-s3353" xml:space="preserve"><lb/>Vt ſit Gemma nitens gemma præſtantior omni, <lb/>Vt ſit Erythræis vnio natus aquis, <lb/>Præſtiter at non plur a loqui, deinceps´ue ſilere, <lb/>Nam ſatis authoris dicere nomen erat. </s> <s xml:id="echoid-s3354" xml:space="preserve"><lb/>Si tamen ò prudens lector, tibi dicere plur a <lb/>Eſt opus, & </s> <s xml:id="echoid-s3355" xml:space="preserve">mecum commoda quanta feram? </s> <s xml:id="echoid-s3356" xml:space="preserve"><lb/>Inſpicias titulum moneo, non vanus amores, <lb/>Nec doceo aligeri tela, facesq́ue dei. </s> <s xml:id="echoid-s3357" xml:space="preserve"><lb/>Sed varios demonſtro locos, licet orbe remotos, <lb/>Et quantum diſtent or dine quique ſuo. </s> <s xml:id="echoid-s3358" xml:space="preserve"><lb/>Expoſui nonnulla quidem, ſed plura ſuperſunt, <lb/>Dicere quæ breuitas temporis ipſa vetat. </s> <s xml:id="echoid-s3359" xml:space="preserve"><lb/>Quis tantas contemnet opes? </s> <s xml:id="echoid-s3360" xml:space="preserve">quis munera tanta <lb/>Spernet? </s> <s xml:id="echoid-s3361" xml:space="preserve">& </s> <s xml:id="echoid-s3362" xml:space="preserve">in paruo commoda tanta libro? </s> <s xml:id="echoid-s3363" xml:space="preserve"><lb/>Linque leues nugas, & </s> <s xml:id="echoid-s3364" xml:space="preserve">inanes deſere chartas, <lb/>Illa ſibi Scombri thura´ue ſacra petant. </s> <s xml:id="echoid-s3365" xml:space="preserve"><lb/>Tempus abit, volat hora fugax, ſic labitur ætas <lb/>Labitur vt rapida feruidus amnis aqua. </s> <s xml:id="echoid-s3366" xml:space="preserve"><lb/>Qui ſapit, ille bonos oculis animo´ue libellos <lb/>Perlegit: </s> <s xml:id="echoid-s3367" xml:space="preserve">& </s> <s xml:id="echoid-s3368" xml:space="preserve">quiſquis deſipit, ille malos. </s> <s xml:id="echoid-s3369" xml:space="preserve"><lb/>Ergo bonos inquire libros, hos perlege, nugas <lb/>Linque, bonis horis vt potiare tuis.</s> <s xml:id="echoid-s3370" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div157" type="section" level="1" n="148"> <head xml:id="echoid-head163" style="it" xml:space="preserve">FINIS.</head> <p> <s xml:id="echoid-s3371" xml:space="preserve">¶ Antuerpiæ excudebat Gregorio Bontio <lb/>Ægidius Dieſth, anno à Chriſto hu-<lb/>manæ ſalutis autore nato <lb/>1550.</s> <s xml:id="echoid-s3372" xml:space="preserve"/> </p> <pb file="138" n="138"/> <figure> <image file="138-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PUBSU9QD/figures/138-01"/> </figure> <pb file="139" n="139"/> <pb file="140" n="140"/> </div></text> </echo>