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Removing DESpecs directory which deserted to git
author | Klaus Thoden <kthoden@mpiwg-berlin.mpg.de> |
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date | Wed, 29 Nov 2017 16:55:37 +0100 |
parents | 22d6a63640c6 |
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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:D67ADBE5.xml</dcterms:identifier> <dcterms:creator identifier="GND:10001271X">Angeli, Stefano</dcterms:creator> <dcterms:title xml:lang="it">Seconde considerationi sopra la forza dell' Argomento fisicomattematico del Gio. Battista Riccioli</dcterms:title> <dcterms:date xsi:type="dcterms:W3CDTF">1668</dcterms:date> <dcterms:language xsi:type="dcterms:ISO639-3">ita</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> </metadata> <text xml:lang="it" type="free"> <div xml:id="echoid-div1" type="section" level="1" n="1"><pb file="0001" n="1"/> <pb file="0002" n="2"/> <pb file="0003" n="3"/> <pb file="0004" n="4"/> <handwritten/> <handwritten/> <handwritten/> <pb file="0005" n="5"/> </div> <div xml:id="echoid-div2" type="section" level="1" n="2"> <head xml:id="echoid-head1" xml:space="preserve">SECONDE <lb/>CONSIDER ATIONI <lb/>SOPRA LA FORZA <lb/>DELL´ARGOMENTO FISICOMATTEMATICO <lb/>Del M. Reu. P. <lb/>GIO: BATTISTA RICCIOLI <lb/>della Compagnia di Giesù, <lb/>CONTRO IL MOTO DIVRNO DELLA TERRA; <lb/>Spiegato dal Sig. Michiel Manfredinelle ſue Riſpoſte, e <lb/>Rifleſsioni ſopra le prime Conſiderationi <lb/>D I <lb/>F STEFANO DE GL´ANGELI <lb/>Venetiano <lb/>MATTEMATICO NELLO STVDIO DI PADOVA,</head> <head xml:id="echoid-head2" style="it" xml:space="preserve">Eſpreſse da queſti in due altri Dialogi III. e IV.</head> <figure> <image file="0005-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0005-01"/> </figure> </div> <div xml:id="echoid-div3" type="section" level="1" n="3"> <head xml:id="echoid-head3" xml:space="preserve">IN PADOVA, MDCLXVIII.</head> <head xml:id="echoid-head4" xml:space="preserve">Per Mattio Bolzetta de Cadorini,</head> <head xml:id="echoid-head5" style="it" xml:space="preserve">Con Licenza de´ Superiori.</head> <pb file="0006" n="6"/> <pb file="0007" n="7"/> <figure> <image file="0007-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0007-01"/> </figure> </div> <div xml:id="echoid-div4" type="section" level="1" n="4"> <head xml:id="echoid-head6" xml:space="preserve">AL REVERENDISSIMO P.</head> <head xml:id="echoid-head7" xml:space="preserve">Signor, e Patron Colendiſsimo <lb/>IL P.</head> <head xml:id="echoid-head8" xml:space="preserve">D. TADEO PEPOLI</head> <p> <s xml:id="echoid-s1" xml:space="preserve">Già Gener. </s> <s xml:id="echoid-s2" xml:space="preserve">delli Monaci Oliuetani, <lb/>& </s> <s xml:id="echoid-s3" xml:space="preserve">hora Abbate di San Bernardo <lb/>di Bologna.</s> <s xml:id="echoid-s4" xml:space="preserve"/> </p> <figure> <image file="0007-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0007-02"/> </figure> <p> <s xml:id="echoid-s5" xml:space="preserve">GIà ſono ſcorſi alcuni meſi, <lb/>che douendo ſtamparſi <lb/>certe mie Conſiderationi <lb/>ſopra la forza d´alcune <lb/>ragioni Fiſicomattema-<lb/>tiche contro il Siſtema. </s> <s xml:id="echoid-s6" xml:space="preserve">Copernicano, <lb/>hebbi l´honore di poter paleſar al mon-<lb/>do li miei antichi oblighi, che tengo <pb file="0008" n="8"/> con V. </s> <s xml:id="echoid-s7" xml:space="preserve">P. </s> <s xml:id="echoid-s8" xml:space="preserve">Reuerendiſsima. </s> <s xml:id="echoid-s9" xml:space="preserve">E´ bene il <lb/>douere, che hora mi confeſſi molto te-<lb/>nuto al Sig. </s> <s xml:id="echoid-s10" xml:space="preserve">Michiel Manfredi, mentre <lb/>queſti con le ſue _Riſpoſte, e Rifleſſioni_ dando-<lb/>mi materia di replicare, è parimente <lb/>cagione, che io poſsi rinouare queſto <lb/>officio ſenz´affettatione. </s> <s xml:id="echoid-s11" xml:space="preserve">Riconfermo <lb/>adunque preſentemente con tanto <lb/>maggior efficacia tutto il detto all´ho-<lb/>ra, quanto io ritrouo nuouamente ac-<lb/>creſciute le partite de miei debiti con <lb/>l´eſſerſi V. </s> <s xml:id="echoid-s12" xml:space="preserve">P. </s> <s xml:id="echoid-s13" xml:space="preserve">Reuerendiſſima compia-<lb/>ciuta diriceuere le mie eſpreſsioni con <lb/>tanta benignità, con quanta cordia-<lb/>lità io gle l´hò preſentate. </s> <s xml:id="echoid-s14" xml:space="preserve">S´aggiunge <lb/>à queſto, che trà il Signor Manfredi, e <lb/>mè verte vna diſputa litteraria, nella <lb/>quale non deſiderando io altro, che <lb/>Giudici competenti, e ſinceri; </s> <s xml:id="echoid-s15" xml:space="preserve">il grand´ <lb/>intendimento, eſincerità di V. </s> <s xml:id="echoid-s16" xml:space="preserve">P. </s> <s xml:id="echoid-s17" xml:space="preserve">Re-<lb/>uerendiſs. </s> <s xml:id="echoid-s18" xml:space="preserve">non poſsono eſſere più à pro-<lb/>poſito di quello, che ſono per formare <lb/>queſto giudicio. </s> <s xml:id="echoid-s19" xml:space="preserve">Mi perſuado, che alla <lb/>ſua impareggiabile gétilezza non deb- <pb file="0009" n="9"/> ba riuſcire altroche grato queſto nuo-<lb/>uo atteſtato della mia oſſeruanza; </s> <s xml:id="echoid-s20" xml:space="preserve">la <lb/>quale mi farà ſempre ſoſpirare fre-<lb/>quenti l´occaſioni di maggiormente <lb/>far conoſcere in qual grado ſi pro-<lb/>feſsi.</s> <s xml:id="echoid-s21" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s22" xml:space="preserve">Di V. </s> <s xml:id="echoid-s23" xml:space="preserve">P. </s> <s xml:id="echoid-s24" xml:space="preserve">Reuerendiſsima</s> </p> <p> <s xml:id="echoid-s25" xml:space="preserve">Padouail 1. </s> <s xml:id="echoid-s26" xml:space="preserve">Marzo 1668.</s> <s xml:id="echoid-s27" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s28" xml:space="preserve">Deuotiſs, e Obligatiſs. </s> <s xml:id="echoid-s29" xml:space="preserve">Seruitore</s> </p> <p> <s xml:id="echoid-s30" xml:space="preserve">F. </s> <s xml:id="echoid-s31" xml:space="preserve">Stefano Angeli.</s> <s xml:id="echoid-s32" xml:space="preserve"/> </p> <pb file="0010" n="10"/> <figure> <image file="0010-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0010-01"/> </figure> </div> <div xml:id="echoid-div5" type="section" level="1" n="5"> <head xml:id="echoid-head9" xml:space="preserve">AL LETTORE.</head> <figure> <image file="0010-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0010-02"/> </figure> <p style="it"> <s xml:id="echoid-s33" xml:space="preserve">_P_Vblicai il Settembre proſſimo paſſato le mie Con-<lb/>ſider ationi ſoprala forza di alcune Ragioni Fi-<lb/>ſicomattematiche, addotte dal tanto benemeri-<lb/>to delle ſcienze M. </s> <s xml:id="echoid-s34" xml:space="preserve">R. </s> <s xml:id="echoid-s35" xml:space="preserve">P. </s> <s xml:id="echoid-s36" xml:space="preserve">Gio: </s> <s xml:id="echoid-s37" xml:space="preserve">Battiſta Riccioli <lb/>controil Siſtema Copernicano nel ſuo Almage-<lb/>sto Nuouo, & </s> <s xml:id="echoid-s38" xml:space="preserve">Aſtronomia Riformata. </s> <s xml:id="echoid-s39" xml:space="preserve">Vſcì fuo-<lb/>ri ſucceſſiuamente alla publica luce il meſe di Genaro vna riſ-<lb/>poſta à dette mie Conſiderationi ſotto nome di Michiel Man-<lb/>fredi, il quale ſi dichiara non contener eſſa altra dottrina, <lb/>che quella, che gl´ hà ſuggerito il medeſimo P. </s> <s xml:id="echoid-s40" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s41" xml:space="preserve">Il <lb/>che ſe bene non è da mè creduto in conto alcuno, mentre <lb/>in queſta non riluce coſa, che ſia degna di quell´ occulatiſ-<lb/>ſimo Mattematico; </s> <s xml:id="echoid-s42" xml:space="preserve">inuecchiato, per l´età venerabile di anni <lb/>70, in queſte dottrine; </s> <s xml:id="echoid-s43" xml:space="preserve">Autore di vn Nuouo Almageſto; </s> <s xml:id="echoid-s44" xml:space="preserve">e <lb/>Riformatore dell´ Aſtronomia, e Geografia; </s> <s xml:id="echoid-s45" xml:space="preserve">nulladimeno per <lb/>dar queſto piacere al non da mè conoſciuto, nè mai vdito <lb/>nominare Signor Manfredi, mostrarò di crederlo. </s> <s xml:id="echoid-s46" xml:space="preserve">Sono ſta-<lb/>to vn pezzo dubbioſo ſe doueſſi replicare à queſte Rifleſſioni, <lb/>ò nò; </s> <s xml:id="echoid-s47" xml:space="preserve">parendomi, che poteſſe baſtare il ſcritto ſin horadal P. <lb/></s> <s xml:id="echoid-s48" xml:space="preserve">Riccioli, da mè, e dal Signor Manfredi ſopra queſtamate <lb/>ria, acciò il Lettore poteſſe approfittarſi. </s> <s xml:id="echoid-s49" xml:space="preserve">Finalmente però <lb/>mi ò parſo meglio ſcriuere anco queſta ſola volta per meglio <pb file="0011" n="11"/> dichiararè le mie difficoltà. </s> <s xml:id="echoid-s50" xml:space="preserve">Hò ſeguito il medeſimo modo di <lb/>dialogare per le ragioni tocche nelle predette Conſiderationi. <lb/></s> <s xml:id="echoid-s51" xml:space="preserve">Hò ſcritto come parlo, ſenza vn riguardo imaginabile à qua-<lb/>lità di parole; </s> <s xml:id="echoid-s52" xml:space="preserve">eſſendo ambitioſo dieſſer riconoſciuto per Vene-<lb/>tiano anco nello ſcriuere. </s> <s xml:id="echoid-s53" xml:space="preserve">Solo hò atteſo à manifeſtar li miei <lb/>ſenſicon chiarezza. </s> <s xml:id="echoid-s54" xml:space="preserve">Ilche ſe haurò conſeguito, io ſarò conten-<lb/>to, etù viui felice.</s> <s xml:id="echoid-s55" xml:space="preserve"/> </p> <figure> <image file="0011-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0011-01"/> </figure> <pb file="0012" n="12"/> </div> <div xml:id="echoid-div6" type="section" level="1" n="6"> <head xml:id="echoid-head10" xml:space="preserve">NOI REFORMATORI</head> <head xml:id="echoid-head11" xml:space="preserve">dello Studio di Padoua.</head> <p> <s xml:id="echoid-s56" xml:space="preserve">HAuendo veduto per fede del Padre Inquiſitore di Pa-<lb/>doua nel Libro intitolato Seconde Conſiderationi, <lb/>del R. </s> <s xml:id="echoid-s57" xml:space="preserve">P. </s> <s xml:id="echoid-s58" xml:space="preserve">Stefano de gl´Angeli, non eſſerui coſa alcuna con-<lb/>tro la Santa Fede Cattolica, e parimente per atteſtato del <lb/>Segretario noſtro, niente contro Prencipi, e buoni coſtumi, <lb/>concedemo licenza à Mattio Bolzetta de Cadorini di po-<lb/>terlo ſtampare, oſſeruando gl´ordini, &</s> <s xml:id="echoid-s59" xml:space="preserve">c.</s> <s xml:id="echoid-s60" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s61" xml:space="preserve">Dat. </s> <s xml:id="echoid-s62" xml:space="preserve">à 9. </s> <s xml:id="echoid-s63" xml:space="preserve">Febraro 1668.</s> <s xml:id="echoid-s64" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s65" xml:space="preserve">{ Aluiſe Contarini Cau. </s> <s xml:id="echoid-s66" xml:space="preserve">Procur. </s> <s xml:id="echoid-s67" xml:space="preserve">Refor.</s> <s xml:id="echoid-s68" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s69" xml:space="preserve">{ Angelo Correr Cau. </s> <s xml:id="echoid-s70" xml:space="preserve">Procur. </s> <s xml:id="echoid-s71" xml:space="preserve">Refor. </s> <s xml:id="echoid-s72" xml:space="preserve">\\ Nicolò Sagredo Cau. </s> <s xml:id="echoid-s73" xml:space="preserve">Proc. </s> <s xml:id="echoid-s74" xml:space="preserve">Refor.</s> <s xml:id="echoid-s75" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s76" xml:space="preserve">Angelo Nicoloſi Segr.</s> <s xml:id="echoid-s77" xml:space="preserve"/> </p> <pb o="1" file="0013" n="13"/> <figure> <image file="0013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0013-01"/> </figure> </div> <div xml:id="echoid-div7" type="section" level="1" n="7"> <head xml:id="echoid-head12" xml:space="preserve">DIALOGO TERZO <lb/>INTERLOCVTORI <lb/>CONTE LESZCZYNSKY, <lb/>_ofreddi, e Mattematico di Padoua_.</head> <p> <s xml:id="echoid-s78" xml:space="preserve">MATT. </s> <s xml:id="echoid-s79" xml:space="preserve">Ben venuto Sig. </s> <s xml:id="echoid-s80" xml:space="preserve">Conte. </s> <s xml:id="echoid-s81" xml:space="preserve">Io ſento con-<lb/>ſolatione grandiſsima vedendola ritornata <lb/>ad honorare queſto noſtro Studio con la ſua <lb/>preſenza; </s> <s xml:id="echoid-s82" xml:space="preserve">la quale mi rieſce tanto più grata, <lb/>quanto meno aſpettata; </s> <s xml:id="echoid-s83" xml:space="preserve">poiche ſecondo li miei <lb/>computi, già la faceuo incaminata per Parigi.</s> <s xml:id="echoid-s84" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s85" xml:space="preserve">Con. </s> <s xml:id="echoid-s86" xml:space="preserve">Micreda pure Sig. </s> <s xml:id="echoid-s87" xml:space="preserve">Profeſſore, che non minor piace-<lb/>re prouo io nel riueder lei, & </s> <s xml:id="echoid-s88" xml:space="preserve">il Sig. </s> <s xml:id="echoid-s89" xml:space="preserve">Ofreddi, il quale, per <lb/>mia buona ventura, ritrouo quì ſeco. </s> <s xml:id="echoid-s90" xml:space="preserve">Il ſoggiorno poi in <lb/>queſta Città mi rieſce táto giocondo, che ſe non foſſi nato per <lb/>Polonia, oue mi chiamano li miei intereſſi in breue, l´eleg-<lb/>gerei per mia perpetua habitatione.</s> <s xml:id="echoid-s91" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s92" xml:space="preserve">Matt. </s> <s xml:id="echoid-s93" xml:space="preserve">Tanto che ella è per abbandonarci frà poco? </s> <s xml:id="echoid-s94" xml:space="preserve">Que-<lb/>ſto amareggia bene il contento della ſua ritornata.</s> <s xml:id="echoid-s95" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s96" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s97" xml:space="preserve">Siamo giornalieri; </s> <s xml:id="echoid-s98" xml:space="preserve">godiamo del preſente; </s> <s xml:id="echoid-s99" xml:space="preserve">e viuia-<lb/>mo, come è ſolito dirſi, di freſco in freſco. </s> <s xml:id="echoid-s100" xml:space="preserve">Hora che il Sig. <lb/></s> <s xml:id="echoid-s101" xml:space="preserve">Conte è quì con noi, rallegriamoci con la ſua preſenza; </s> <s xml:id="echoid-s102" xml:space="preserve">e <lb/>laſciamo le triſtezze per quando partirà. </s> <s xml:id="echoid-s103" xml:space="preserve">In queſto mentre <lb/>Sig. </s> <s xml:id="echoid-s104" xml:space="preserve">Conte facia gratia de dirne, ſe è lecito, d´onde viene; </s> <s xml:id="echoid-s105" xml:space="preserve"><lb/>e ne partecipi la cagione del ſuo ritorno.</s> <s xml:id="echoid-s106" xml:space="preserve"/> </p> <pb o="2" file="0014" n="14"/> <p> <s xml:id="echoid-s107" xml:space="preserve">Con. </s> <s xml:id="echoid-s108" xml:space="preserve">Io me ne vengo da Bologna.</s> <s xml:id="echoid-s109" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s110" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s111" xml:space="preserve">Da Bologna? </s> <s xml:id="echoid-s112" xml:space="preserve">Viene da vna delle più nobili, e <lb/>conſpicue Città d´Italia, nella quale haurà ritrouato gran <lb/>quantità di ſoggetti qualificati in ogni virtù; </s> <s xml:id="echoid-s113" xml:space="preserve">e molti profeſ-<lb/>ſori delle Matte matiche.</s> <s xml:id="echoid-s114" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s115" xml:space="preserve">Con. </s> <s xml:id="echoid-s116" xml:space="preserve">Leidice il vero. </s> <s xml:id="echoid-s117" xml:space="preserve">Bologna è vna Città ripiena di <lb/>luſtro, e ſplendore. </s> <s xml:id="echoid-s118" xml:space="preserve">Vi è vna Nobiltà fioritiſſima, e gran <lb/>numero di letterat i conſpicui. </s> <s xml:id="echoid-s119" xml:space="preserve">Màio, ſecondando il mio <lb/>genio, hò hauuto grandiſſimo piacere nel conoſcere, e con-<lb/>uerſare contrè Profeſſori delle Mattematiche in quel nobi-<lb/>liſſimo Studio, che ſono li Signori Caſſini, Mengoli, e Mon-<lb/>tanari. </s> <s xml:id="echoid-s120" xml:space="preserve">Se deuo però dire il vero, in tutto queſto mio viag-<lb/>gio, non hò riceuuto contento maggiore, quanto è ſtato il <lb/>conoſcere di preſenza il P. </s> <s xml:id="echoid-s121" xml:space="preserve">Riccioli, eſſendo tanto tem-<lb/>po, che me l´hà fatto noto il ribombo della fama delleſue <lb/>gran virtù.</s> <s xml:id="echoid-s122" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s123" xml:space="preserve">Matt. </s> <s xml:id="echoid-s124" xml:space="preserve">Io gioiſco tutto quando ſento parlar bene di Bolo-<lb/>gna, alla qual Città, dopo Venetia, viuo più affettionato, <lb/>che à qual ſi ſia altra. </s> <s xml:id="echoid-s125" xml:space="preserve">E queſto per termine di gratitudine; <lb/></s> <s xml:id="echoid-s126" xml:space="preserve">perche in Venetia hò riceuuto l´eſſer naturale, & </s> <s xml:id="echoid-s127" xml:space="preserve">à Bologna il <lb/>Geometrico.</s> <s xml:id="echoid-s128" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s129" xml:space="preserve">Con. </s> <s xml:id="echoid-s130" xml:space="preserve">La cagione poi del mio ritorno è ſtato certo Libro <lb/>nuouamente iui ſtampato, nel quale ſi contengono certe. <lb/></s> <s xml:id="echoid-s131" xml:space="preserve">_Riſpoſte, e Rifleſſioni_ ſopra quelle Conſiderationi, che faceſ-<lb/>ſimo già alcuni meſi ſono ſopra quelli Argomenti del P. </s> <s xml:id="echoid-s132" xml:space="preserve">Ric-<lb/>cioli contro l´erroneo ſiſtema Copernicano. </s> <s xml:id="echoid-s133" xml:space="preserve">Miſono poſto <lb/>à leggere queſto Libro; </s> <s xml:id="echoid-s134" xml:space="preserve">il quale hauendomi riempito di con-<lb/>fuſione, e ſcrupoli; </s> <s xml:id="echoid-s135" xml:space="preserve">per liberarmi da dubbij maggiori delli <lb/>primi, mutando viaggio, ſono venuto à ritrouarle, acciò mi <lb/>aggiutino à cacciare dalla mia mente queſte confuſioni.</s> <s xml:id="echoid-s136" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s137" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s138" xml:space="preserve">Miè molto grato, che il P. </s> <s xml:id="echoid-s139" xml:space="preserve">Riccioli habbia riſpo-<lb/>ſto, eſſendo ſecuriſſimo, che hauerà poſte in eſſecutione le, <lb/>meliflue parole, con le quali eſorta il Lettore nel principio <lb/>del cap. </s> <s xml:id="echoid-s140" xml:space="preserve">5. </s> <s xml:id="echoid-s141" xml:space="preserve">del lib. </s> <s xml:id="echoid-s142" xml:space="preserve">9. </s> <s xml:id="echoid-s143" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s144" xml:space="preserve">cioè. </s> <s xml:id="echoid-s145" xml:space="preserve">_Quod mibi in hac tam_ <lb/>_celebri, & </s> <s xml:id="echoid-s146" xml:space="preserve">ardua controuerſia tota animi mei contentione ſer-_ <lb/>_uandum conſtitui; </s> <s xml:id="echoid-s147" xml:space="preserve">idipſum à Lectore impetratum velim, vt_ <lb/>_ſcilicet argumenta omnia, quæ pro Telluris motu, aut contra_ <pb o="3" file="0015" n="15"/> _illum ſolent, aut poſſe adduci videbuntur æquiſſ ma lance, æc_ <lb/>_ſyncero erga veritatem affectu expendantur. </s> <s xml:id="echoid-s148" xml:space="preserve">Etc._ </s> <s xml:id="echoid-s149" xml:space="preserve">Perche non <lb/>vorrà dimoſtrarſi ſimile à quelli, delli quali fù detto, che. <lb/></s> <s xml:id="echoid-s150" xml:space="preserve">_Dicunt, ſed non faciunt;_ </s> <s xml:id="echoid-s151" xml:space="preserve">e che ſempre hauerà hauuto inanti à <lb/>gl´ occhi, ciò à che penſaua anco San Paolo quando diceua, <lb/>_Ne c um alij s prædicauerim, ipſereprobus efficiar_.</s> <s xml:id="echoid-s152" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s153" xml:space="preserve">Con. </s> <s xml:id="echoid-s154" xml:space="preserve">Potreſſimo forſe ſperare queſta ſincerità, quando <lb/>quello, che r@ſponde foſſe il medemo P. </s> <s xml:id="echoid-s155" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s156" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s157" xml:space="preserve">O fred. </s> <s xml:id="echoid-s158" xml:space="preserve">Che non è forſe eſſo?</s> <s xml:id="echoid-s159" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s160" xml:space="preserve">Con. </s> <s xml:id="echoid-s161" xml:space="preserve">Non Signore, màè vn tal quale Michele Man-<lb/>fredi.</s> <s xml:id="echoid-s162" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s163" xml:space="preserve">Matt. </s> <s xml:id="echoid-s164" xml:space="preserve">Io non l´hò mai ſentito à nominare; </s> <s xml:id="echoid-s165" xml:space="preserve">nè mai hò ſa-<lb/>puto, che queſto profeſſi Mattematica. </s> <s xml:id="echoid-s166" xml:space="preserve">Sia però chi eſſer ſi <lb/>voglia, io non intendo, che moſtriamo di diſpregiarlo, non <lb/>riſpondendo alli fuoi detti; </s> <s xml:id="echoid-s167" xml:space="preserve">poiche per me non militano <lb/>quell e ragione, che militano per il P. </s> <s xml:id="echoid-s168" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s169" xml:space="preserve">Egli hà ha-<lb/>uuto ragione, fe non hà voluto abbaſſarſitanto di riſponde-<lb/>re alle mie conſiderationi, eſſendo egli, come ſi dice, nel <lb/>principio di queſta dedicatoria, _Matematico di quella pro-_ <lb/>_fondità, Aſtronomo di quella perizia, e Geometra di quella re-_ <lb/>_ſoluzione, che per le ſue immenſe, e celebratiſſime fatiche ſi è_ <lb/>_fatto hormai noto per tntta Europa_. </s> <s xml:id="echoid-s170" xml:space="preserve">Io al contrario, ſe bene <lb/>occupo l´vnica Cattedra di vno delli più famoſi Studii dell´ <lb/>Vniuerſo, nulladimeno queſto è colpo dibuona fortuna, non <lb/>merito di mie qualità, che perciò non deuo fuggire il duel-<lb/>lo con qual ſi ſia; </s> <s xml:id="echoid-s171" xml:space="preserve">anzi deuo aſcriuermi à ſommo honore, <lb/>cheſi contenti aſpettarmi ſul campo. </s> <s xml:id="echoid-s172" xml:space="preserve">Mà qual cagione l´h à <lb/>moſſo ad intraprendere queſta briga, dalla quale forſen´-<lb/>vſcirà con pochiſſimo honore?</s> <s xml:id="echoid-s173" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s174" xml:space="preserve">Con. </s> <s xml:id="echoid-s175" xml:space="preserve">Nella lettera al Lettore dice eſſer ſtato moſſo dal-<lb/>l´antica, & </s> <s xml:id="echoid-s176" xml:space="preserve">intrinſeca familiarità, che hà con il P. </s> <s xml:id="echoid-s177" xml:space="preserve">Riccioli;</s> <s xml:id="echoid-s178" xml:space="preserve">e <lb/>acciò non trionfi la falſità. </s> <s xml:id="echoid-s179" xml:space="preserve">Onde hauendo il P. </s> <s xml:id="echoid-s180" xml:space="preserve">Riccioli <lb/>quaſi riſoluto di non riſpondere alle ſue conſiderationi per <lb/>trè ragioni, eſſo gl´hà perſuaſo accennarli quel tanto appar-<lb/>tiene al principale argomento, & </s> <s xml:id="echoid-s181" xml:space="preserve">hà diſtelo ogni coſa in <lb/>ſcritto.</s> <s xml:id="echoid-s182" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s183" xml:space="preserve">Matt, Tanto che la dottrina è del P. </s> <s xml:id="echoid-s184" xml:space="preserve">Riccioli, ma reg´- <pb o="4" file="0016" n="16"/> ſtrata dal Sig. </s> <s xml:id="echoid-s185" xml:space="preserve">Manfredi. </s> <s xml:id="echoid-s186" xml:space="preserve">Queſto miſpiace aſſaiaſſai. </s> <s xml:id="echoid-s187" xml:space="preserve">Per-<lb/>che ſe quando fù portata alla prima dal P. </s> <s xml:id="echoid-s188" xml:space="preserve">Riccioli haue ua <lb/>così poca forza di conuiacere, coſa ſarà hora, che paſſa per <lb/>tante mani? </s> <s xml:id="echoid-s189" xml:space="preserve">Ma quali ſono quelle trè ragioni, che haueuano <lb/>quaſi perſuaſo il P Riccioli à non riſpondere?</s> <s xml:id="echoid-s190" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s191" xml:space="preserve">Con. </s> <s xml:id="echoid-s192" xml:space="preserve">Queſte per hora voglio, ſe così ſi contentano, che le <lb/>laſciamo, riſeruandole à luogo più opportuno, perche, <lb/>per dire la verità, la terza è così brutta, che non vorrei, che <lb/>s´alteraſſe nel bel principio; </s> <s xml:id="echoid-s193" xml:space="preserve">e queſto foſſe cagione, che nel <lb/>confutare il Manfredi diceſſe di quelle coſe, che sò non eſſer <lb/>proprie della ſua modeſtia.</s> <s xml:id="echoid-s194" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s195" xml:space="preserve">Matt. </s> <s xml:id="echoid-s196" xml:space="preserve">Faciamo, come lei comanda. </s> <s xml:id="echoid-s197" xml:space="preserve">Se bene non oc-<lb/>core à dubitare della mia continenza, mentre eſſendo noi in <lb/>vna diſputa litteraria, deuono in queſta trionfare le ragioni, <lb/>non le maledicenze. </s> <s xml:id="echoid-s198" xml:space="preserve">Principiamo adunque doue lei co-<lb/>manda.</s> <s xml:id="echoid-s199" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s200" xml:space="preserve">Cont. </s> <s xml:id="echoid-s201" xml:space="preserve">Principiamo dal num. </s> <s xml:id="echoid-s202" xml:space="preserve">I. </s> <s xml:id="echoid-s203" xml:space="preserve">doue fà rifleſſione ſopra al-<lb/>cune parole poſte nella Lettera al Lettore, nelle quali ſi dice <lb/>[Hò vdito coſe tali, che per fargli vedere che ſe difendiamo l´ <lb/>immobilità della Terra, queſto non deriui da cecità, e igno-<lb/>ranza, ſono ſtato sforzato publicar queſte conſiderationi,] <lb/>Hora dice in ſoſtanza, che da queſte parole ſperorno alcuni <lb/>di ritrouare in queſto Libro qualche ſcientifica ragione ad-<lb/>dotta contro il moto della Terra; </s> <s xml:id="echoid-s204" xml:space="preserve">delle quali (trattane l´-<lb/>autorità delle Sacre Scritture, e della Santa Chieſa) non vie-<lb/>ne è pur vna, benche ſe confeſſi in altro luogo, eſſeruene di <lb/>efficaciſſime, &</s> <s xml:id="echoid-s205" xml:space="preserve">c.</s> <s xml:id="echoid-s206" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s207" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s208" xml:space="preserve">Compatiſco grandemente queſti, che ſperarono <lb/>ciò, perche sò per eſperienza, che _ſpes, quæ differtier af-_ <lb/>_fligit animam._ </s> <s xml:id="echoid-s209" xml:space="preserve">Se quelli, che ſperorono queſto, & </s> <s xml:id="echoid-s210" xml:space="preserve">hebbe-<lb/>ro tal voglia foſſero ſtati donne pregne, haurebbono certa-<lb/>mente fatto il parto ſegnato; </s> <s xml:id="echoid-s211" xml:space="preserve">mentre che di queſte ragioni <lb/>da eſſi ſperate in tutto il ſuo Libro non ve n´è pur vna.</s> <s xml:id="echoid-s212" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s213" xml:space="preserve">Matt. </s> <s xml:id="echoid-s214" xml:space="preserve">Sig. </s> <s xml:id="echoid-s215" xml:space="preserve">Ofreddi ella è molto compaſſioneuole. </s> <s xml:id="echoid-s216" xml:space="preserve">Horsù <lb/>non ſi dubiti, che non haueranno hauuto occaſione di affli-<lb/>gerſi nè anco per momenti; </s> <s xml:id="echoid-s217" xml:space="preserve">mentre nell´iſteſlo prin cipio po-<lb/>terono vedere la noſtra intentione eſſer ſtata di conſiderare <pb o="5" file="0017" n="17"/> ſolamente quelle ragioni Fiſicomattematiche del P. </s> <s xml:id="echoid-s218" xml:space="preserve">Ric-<lb/>cioli. </s> <s xml:id="echoid-s219" xml:space="preserve">Che ſe queſta ſperanza li hà dato qualche moleſtia, <lb/>ſilamentino di loro medeſimi, e non di noi, mentre ſpe-<lb/>rarono vna coſa ſuperſlua; </s> <s xml:id="echoid-s220" xml:space="preserve">potendoſi ſatollare à loro ta-<lb/>lento, leggendole diffuſiſſimamente regiſtrate nel lib. </s> <s xml:id="echoid-s221" xml:space="preserve">9. <lb/></s> <s xml:id="echoid-s222" xml:space="preserve">dell´Amag. </s> <s xml:id="echoid-s223" xml:space="preserve">nuouo del P. </s> <s xml:id="echoid-s224" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s225" xml:space="preserve">il quale hà fatto queſta <lb/>lodabiliſſima fatic@ di raccogliere tutto ciò, che da tanti <lb/>grand´ ingegniè ſtato ſcritto ſopra ſimil ſoggetto. </s> <s xml:id="echoid-s226" xml:space="preserve">Nè io <lb/>poſſo ſottoſcriuermi à quanto diceil medeſimo P. </s> <s xml:id="echoid-s227" xml:space="preserve">Riccioli <lb/>nel lib. </s> <s xml:id="echoid-s228" xml:space="preserve">2. </s> <s xml:id="echoid-s229" xml:space="preserve">del cit. </s> <s xml:id="echoid-s230" xml:space="preserve">Almag. </s> <s xml:id="echoid-s231" xml:space="preserve">nel Schol. </s> <s xml:id="echoid-s232" xml:space="preserve">del cap. </s> <s xml:id="echoid-s233" xml:space="preserve">3. </s> <s xml:id="echoid-s234" xml:space="preserve">parlando <lb/>delle ragioni contro il moto della Terra. </s> <s xml:id="echoid-s235" xml:space="preserve">_Et niſi ſacra an-_ <lb/>_ctoritas, atque euidentia ſenſuum, abea nos ſententia ab-_ <lb/>_ſterrerent; </s> <s xml:id="echoid-s236" xml:space="preserve">nulla bactenus Mathematica argumenta excogita-_ <lb/>_taſant, quod equidem ſciam, quæ nos ab illa remouere debue-_ <lb/>_rint._ </s> <s xml:id="echoid-s237" xml:space="preserve">Eſſendo io di parere, che alcuni di queſti ſiino effica-<lb/>ciſsimi.</s> <s xml:id="echoid-s238" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s239" xml:space="preserve">Io poi non hò hauuta la buona fortuna, nella quale hà <lb/>incontrato il P. </s> <s xml:id="echoid-s240" xml:space="preserve">Riccioli, che egli ſoggiunge con queſte <lb/>parole. </s> <s xml:id="echoid-s241" xml:space="preserve">_Puto tamen, Deo iuuante, producturum ſuo tempo-_ <lb/>_re in medium vnum, aut alterum argumentum quod ex datis_ <lb/>_in Astronomia Phænomenis ab ipſis Copernicanis, conuincat_ <lb/>_ipſorum opinionem falſitatis, ex parte ſaltem._ </s> <s xml:id="echoid-s242" xml:space="preserve">Io non hò tro-<lb/>@ato ragioni nuoue, le quali chi da me aſpetta, s´inganna <lb/>di gran lunga. </s> <s xml:id="echoid-s243" xml:space="preserve">E ſe hò detto, che vene ſono delle altre ef-<lb/>ficaciſsime, non hò inteſo di nuoue inuentate da me, ma da <lb/>ingegni più ſublimi. </s> <s xml:id="echoid-s244" xml:space="preserve">Alcune di queſte certo mi conuinco-<lb/>no; </s> <s xml:id="echoid-s245" xml:space="preserve">ma non già quelle inuentate dal P. </s> <s xml:id="echoid-s246" xml:space="preserve">Riccioli, le quali <lb/>habbiamo conſiderate, che mi paiono (ſia con ſua buona <lb/>pace) delle più deboli, che habbia mai ſentite ſopra ſimil <lb/>materia. </s> <s xml:id="echoid-s247" xml:space="preserve">Ma anco quando non ve ne foſſe alcuna di con-<lb/>uincente (già che à parere del P. </s> <s xml:id="echoid-s248" xml:space="preserve">Riccioli niuna di quelle <lb/>d´altri è efficace, nè le ſue mi paiono punto conuincenti) <lb/>baſta à me le Sacre Scritture, e la determinatione di Santa <lb/>Chieſa.</s> <s xml:id="echoid-s249" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s250" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s251" xml:space="preserve">Ma ſe lei non adduce ragionè alcuna contro il <lb/>moto della Terra, come moſtra, che il difender ella l´im-<lb/>mobilità della Terra non deriui in lei da cecità, e ignoran- <pb o="6" file="0018" n="18"/> za? </s> <s xml:id="echoid-s252" xml:space="preserve">Onde parmi, che dica bene il Manſredi nelle parole, <lb/>che ſoggiunge. </s> <s xml:id="echoid-s253" xml:space="preserve">_Certo è che il non far altro, che impugnar le_ <lb/>_ragioni addotte per l´immobilità, non è moſt rare, che ſi diffen-_ <lb/>_de ſenza cecità, & </s> <s xml:id="echoid-s254" xml:space="preserve">ignoranza, perche que ſto non è diffenderla;_ <lb/></s> <s xml:id="echoid-s255" xml:space="preserve">_maindirettamente conferm are nella loro opinione i difenſori_ <lb/>_della mobilità della Terra._</s> <s xml:id="echoid-s256" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s257" xml:space="preserve">Matt. </s> <s xml:id="echoid-s258" xml:space="preserve">Saldo Sig. </s> <s xml:id="echoid-s259" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s260" xml:space="preserve">Horsù noti V.</s> <s xml:id="echoid-s261" xml:space="preserve">S. </s> <s xml:id="echoid-s262" xml:space="preserve">Due ſono li <lb/>modi diconfermare vna opinione; </s> <s xml:id="echoid-s263" xml:space="preserve">vno diretto, con addure <lb/>ragioni, le quali à drittura la prouino; </s> <s xml:id="echoid-s264" xml:space="preserve">l´altro indiretto, & </s> <s xml:id="echoid-s265" xml:space="preserve"><lb/>_præter intentionem Auctoris,_ con addure in contrario ra-<lb/>gioni inneficaci, e paralogiſmi; </s> <s xml:id="echoid-s266" xml:space="preserve">e tanto più, quando quefti <lb/>ſono inuentati da huomini grandi, e decantati da eſſi per <lb/>manna caduta dal Cielo, è gratie gratiſdate. </s> <s xml:id="echoid-s267" xml:space="preserve">Se queſto ſe-<lb/>condo modo habbia confermato li Copernicani nella loro <lb/>falía opinione, ne ſia teſtimonio il medemo P. </s> <s xml:id="echoid-s268" xml:space="preserve">Riccioli nel <lb/>lib. </s> <s xml:id="echoid-s269" xml:space="preserve">9. </s> <s xml:id="echoid-s270" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s271" xml:space="preserve">ſect. </s> <s xml:id="echoid-s272" xml:space="preserve">4. </s> <s xml:id="echoid-s273" xml:space="preserve">cap. </s> <s xml:id="echoid-s274" xml:space="preserve">I. </s> <s xml:id="echoid-s275" xml:space="preserve">con queſte parole. </s> <s xml:id="echoid-s276" xml:space="preserve">_vt mi-_ <lb/>_nimè mirum ſit, non modò Aſtronomiæ principijs leuiter imbri-_ <lb/>_tos, ſed peritiſſimos alioquin ſublimis buius ſcientiæ, neque Co-_ <lb/>_pernic anæ hypotheſeos profundum penetraſſe, ne que ipſius fai-_ <lb/>_ſit atem neceſſarijs rationibus, led leuioribus quam oportebat_ <lb/>_argumentis propulſaſſe. </s> <s xml:id="echoid-s277" xml:space="preserve">Zuo factum eſt vt ſectæ illi animi_ <lb/>_attollerentur, & </s> <s xml:id="echoid-s278" xml:space="preserve">ea paſſim per Germaniam, Angliam, Galliam,_ <lb/>_ipſamque adeò It aliam, triumphale illud Io canere auderet;_ <lb/></s> <s xml:id="echoid-s279" xml:space="preserve">_& </s> <s xml:id="echoid-s280" xml:space="preserve">imperitiam cæleſtium pariter ac terreſt, ium reuolut ionum_ <lb/>_phyloſophis, ac Tbeologis nonnullis obie ctaret._</s> <s xml:id="echoid-s281" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s282" xml:space="preserve">Hora eſsendo le ragioni del P. </s> <s xml:id="echoid-s283" xml:space="preserve">Riccioli di queſta ſoite, <lb/>cioè inneficaci, anzi non ſenza paralogiſmi; </s> <s xml:id="echoid-s284" xml:space="preserve">& </s> <s xml:id="echoid-s285" xml:space="preserve">eſſendo <lb/>cgli huomo così grande, e così accreditato; </s> <s xml:id="echoid-s286" xml:space="preserve">s´imaginino <lb/>loro Signori quanto hanno confirmato il Coperniciſmo. <lb/></s> <s xml:id="echoid-s287" xml:space="preserve">Tanto più, che in modo tale ſe millanta la loro euidenza, <lb/>che nel lib. </s> <s xml:id="echoid-s288" xml:space="preserve">I. </s> <s xml:id="echoid-s289" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s290" xml:space="preserve">cap. </s> <s xml:id="echoid-s291" xml:space="preserve">34. </s> <s xml:id="echoid-s292" xml:space="preserve">num. </s> <s xml:id="echoid-s293" xml:space="preserve">I. </s> <s xml:id="echoid-s294" xml:space="preserve">ſi dice della prima, <lb/>e principale. </s> <s xml:id="echoid-s295" xml:space="preserve">_Argumentum eſt in forma ideoque nulla ſolide_ <lb/>_reſponſio per me quidem huic argumento inueniri potuit; </s> <s xml:id="echoid-s296" xml:space="preserve">ſed_ <lb/>_neeeßarium aſſenſum ob euidentiam phyſicomathematicam mi-_ <lb/>_bi & </s> <s xml:id="echoid-s297" xml:space="preserve">al ijs, quibus propoſui, extorſit._</s> <s xml:id="echoid-s298" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s299" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s300" xml:space="preserve">Biſogna bene, che queſti tali haueſſero poco pet-<lb/>to, mentre cedeuano à ſimili violenze.</s> <s xml:id="echoid-s301" xml:space="preserve"/> </p> <pb o="7" file="0019" n="19"/> <p> <s xml:id="echoid-s302" xml:space="preserve">Matt. </s> <s xml:id="echoid-s303" xml:space="preserve">E nel cap. </s> <s xml:id="echoid-s304" xml:space="preserve">33. </s> <s xml:id="echoid-s305" xml:space="preserve">dopo la ſeconda concluſione, ſe ſà, <lb/>quaſi di eſſi Dio autore, dicendoſi. </s> <s xml:id="echoid-s306" xml:space="preserve">_Zuæ vtique in tam_ <lb/>_celebri controuer ſia ſicut apud equos rerum æſtimatores non_ <lb/>_parui facienda ſunt, it a Deo acceota, noſtris laboribus pro ſuæ_ <lb/>_Munificentia ob ſecundanti, referre opus est._</s> <s xml:id="echoid-s307" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s308" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s309" xml:space="preserve">Realmente la bontà, e patienza Diuina è infi-<lb/>nita.</s> <s xml:id="echoid-s310" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s311" xml:space="preserve">Matt. </s> <s xml:id="echoid-s312" xml:space="preserve">E perche molti Oltramontani capitati à Padoua, <lb/>hauendomi ſentito difendere l´immobilità della Terra, e <lb/>credendo, che io faceſſi capitale delle ragioni del P. </s> <s xml:id="echoid-s313" xml:space="preserve">Ric-<lb/>cioli, ſi ſono riſi dime, quaſi che io non vedeſſi la loro in-<lb/>ſufficienza, e vanità; </s> <s xml:id="echoid-s314" xml:space="preserve">ſono ſtato neceſſitato moſtrarci, che <lb/>anch´ io sò diſtinguer il nero dal bianco; </s> <s xml:id="echoid-s315" xml:space="preserve">e la luce dalle te-<lb/>nebre: </s> <s xml:id="echoid-s316" xml:space="preserve">e che a difender l´immobilità mi muouono ragioni <lb/>più effi caci; </s> <s xml:id="echoid-s317" xml:space="preserve">e principalmente le Sacre Scritture, e li Decre-<lb/>ti di Santa Madre Chieſa.</s> <s xml:id="echoid-s318" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s319" xml:space="preserve">Con. </s> <s xml:id="echoid-s320" xml:space="preserve">Horsù paſſiamo al ſecondo numero, nel quale ſi <lb/>parla dell´in genuità, & </s> <s xml:id="echoid-s321" xml:space="preserve">amore del vero del P. </s> <s xml:id="echoid-s322" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s323" xml:space="preserve">e ſi <lb/>dice, che tutti li noſtri diſcorſi hanno ſeruito ad inuigorire <lb/>li ſuoi argomenti.</s> <s xml:id="echoid-s324" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s325" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s326" xml:space="preserve">Lingenuità, e buone qualità del P. </s> <s xml:id="echoid-s327" xml:space="preserve">ſono beniſ-<lb/>fimo note à tutri noi altri.</s> <s xml:id="echoid-s328" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s329" xml:space="preserve">Matt. </s> <s xml:id="echoid-s330" xml:space="preserve">Il rimanente lo vederemo; </s> <s xml:id="echoid-s331" xml:space="preserve">& </s> <s xml:id="echoid-s332" xml:space="preserve">eſſendo vero, lo con-<lb/>feſſaremo con non minore ingenuità, c ſchiettezza.</s> <s xml:id="echoid-s333" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s334" xml:space="preserve">Con. </s> <s xml:id="echoid-s335" xml:space="preserve">Nel num. </s> <s xml:id="echoid-s336" xml:space="preserve">3. </s> <s xml:id="echoid-s337" xml:space="preserve">ſitecita lo A ſſioma del P. </s> <s xml:id="echoid-s338" xml:space="preserve">Riccioli po-<lb/>ſto nel cap. </s> <s xml:id="echoid-s339" xml:space="preserve">19. </s> <s xml:id="echoid-s340" xml:space="preserve">del 9. </s> <s xml:id="echoid-s341" xml:space="preserve">cioè _Tale, ac tantum eſt incrementum ve-_ <lb/>_locitatis eiuſdem corporis grauis, natur aliter ex eadem altitu-_ <lb/>_dine per idem medium deor ſum deſcendentis; </s> <s xml:id="echoid-s342" xml:space="preserve">aut leuis eiuſdem_ <lb/>_natur aliter aſcendentis ad eandem altitudinem per idem me-_ <lb/>_dium in quolibet loco terreſtris globi; </s> <s xml:id="echoid-s343" xml:space="preserve">quale & </s> <s xml:id="echoid-s344" xml:space="preserve">quantum eſt in_ <lb/>_alio terrestris globi loco; </s> <s xml:id="echoid-s345" xml:space="preserve">ſi omnes eius intrinſecæ conditiones_ <lb/>_ſint vtrobique eædem._ </s> <s xml:id="echoid-s346" xml:space="preserve">E ſi arreca la dottrina dell´acceleratio-<lb/>ne del graue all´ingiù; </s> <s xml:id="echoid-s347" xml:space="preserve">nel che parmi, che ſi muti in ſenſo <lb/>poco buono quello, che fù detto da noi; </s> <s xml:id="echoid-s348" xml:space="preserve">eſſendo nel prin-<lb/>cipio della pag. </s> <s xml:id="echoid-s349" xml:space="preserve">3. </s> <s xml:id="echoid-s350" xml:space="preserve">notate queſte parole. </s> <s xml:id="echoid-s351" xml:space="preserve">_Onde ſi deduce che_ <lb/>_gli ſpatij paſſati dall´iſteſſo gratte in diuerſi tempi vguali ſono_ <lb/>_trà ſe, come li quadrati de tempiſteſſi._ </s> <s xml:id="echoid-s352" xml:space="preserve">Queſta dottrina preſa <pb o="8" file="0020" n="20"/> come è ſcritta non è vera; </s> <s xml:id="echoid-s353" xml:space="preserve">perche li ſpatij paſſati in tempi <lb/>eguali ſono come li numeri impari, li quali principiano <lb/>dall´vnità. </s> <s xml:id="echoid-s354" xml:space="preserve">Bene è vera come l´habbiamo notata noi; </s> <s xml:id="echoid-s355" xml:space="preserve">cioè. <lb/></s> <s xml:id="echoid-s356" xml:space="preserve">[che li ſpatij paſſati dall´iſteſſo graue in tempi diuerſi ſono <lb/>come li quadrati de tempiſteſſi.</s> <s xml:id="echoid-s357" xml:space="preserve">] Il che và inteſo, princi-<lb/>piando tutti li ſpatij, e tempi dal principio del moto, in <lb/>guiſa che ogni ſpatio, e tempo ſi conſideri dal principio ſino <lb/>a qual ſi ſia determinato tempo, e luogo.</s> <s xml:id="echoid-s358" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s359" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s360" xml:space="preserve">Così è certiſſimo, Mà queſto errore è vna bagat-<lb/>tella, & </s> <s xml:id="echoid-s361" xml:space="preserve">vna inauertenza, mentre che eſſendo ſtata queſta <lb/>dottrina in altri luoghi poratata giuſta dal P. </s> <s xml:id="echoid-s362" xml:space="preserve">Riccioli, non <lb/>è credibile, che il Sig. </s> <s xml:id="echoid-s363" xml:space="preserve">Manfredi non la ſapia come è.</s> <s xml:id="echoid-s364" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s365" xml:space="preserve">Con. </s> <s xml:id="echoid-s366" xml:space="preserve">E per vna inauertenza voglio, che la riconoſcia-<lb/>mo, non facendo ſopra ciò minimo fondamento. </s> <s xml:id="echoid-s367" xml:space="preserve">Hora ſi <lb/>ſegue à dire, che nelle noſtre parole ſi contengono due fal-<lb/>ſe conſequenze. </s> <s xml:id="echoid-s368" xml:space="preserve">_La prima è che non voglia il P. </s> <s xml:id="echoid-s369" xml:space="preserve">Riccioli, che_ <lb/>_ſia ſuppoſto per cuidente quel´ Aſſioma, perche procura prouarlo_ <lb/>_con ragioni, e con l´eſperienza._ </s> <s xml:id="echoid-s370" xml:space="preserve">E qui inculca, che vuole ſia <lb/>conoſciuto per Aſſioma, & </s> <s xml:id="echoid-s371" xml:space="preserve">vno di quelli primi principij. <lb/></s> <s xml:id="echoid-s372" xml:space="preserve">li quali non ſi poſſono già dimoſtrare _à priori,_ ma bene _à_ <lb/>_poſteriori,_ & </s> <s xml:id="echoid-s373" xml:space="preserve">anco con´eſperienze; </s> <s xml:id="echoid-s374" xml:space="preserve">&</s> <s xml:id="echoid-s375" xml:space="preserve">c.</s> <s xml:id="echoid-s376" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s377" xml:space="preserve">Matt. </s> <s xml:id="echoid-s378" xml:space="preserve">Diceil prouerbio, che ogni parola non vuol riſ-<lb/>poſta. </s> <s xml:id="echoid-s379" xml:space="preserve">Nè io voglio, che conſideriamo ogni minutia; </s> <s xml:id="echoid-s380" xml:space="preserve">al-<lb/>trimente non la forniremo mai.</s> <s xml:id="echoid-s381" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s382" xml:space="preserve">Ofr. </s> <s xml:id="echoid-s383" xml:space="preserve">Mà però non biſogna tralaſciare le coſe eſſentiali, e <lb/>dottrinali. </s> <s xml:id="echoid-s384" xml:space="preserve">Et à queſta coſa intendo che ſi rifletta aſſolu-<lb/>tamente.</s> <s xml:id="echoid-s385" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s386" xml:space="preserve">Con. </s> <s xml:id="echoid-s387" xml:space="preserve">Hà ben ragione Sig. </s> <s xml:id="echoid-s388" xml:space="preserve">Ofreddi di riſcaldarſi, eſſendo <lb/>lei cagione di queſta lite. </s> <s xml:id="echoid-s389" xml:space="preserve">Mentre hauendo vdito quel´Aſ-<lb/>ſioma da me recitato, ſubito ſo ggiunſe. </s> <s xml:id="echoid-s390" xml:space="preserve">[I´armihauer tan-<lb/>taeuidenza, & </s> <s xml:id="echoid-s391" xml:space="preserve">eſſer tanto noto lumine naturæ, quanto <lb/>quelli communi poſti da Euclide nelli ſuoi elementi.</s> <s xml:id="echoid-s392" xml:space="preserve">]</s> </p> <p> <s xml:id="echoid-s393" xml:space="preserve">Matt. </s> <s xml:id="echoid-s394" xml:space="preserve">Mà il Sig. </s> <s xml:id="echoid-s395" xml:space="preserve">Manfredi recitando le parole del Sig. <lb/></s> <s xml:id="echoid-s396" xml:space="preserve">Ofreddi, tace queſte vltime, e la comparatione, dicendo, <lb/>_E perche ciò pare eſſer euidente lumine naturæ ſi ſoggiunge, &</s> <s xml:id="echoid-s397" xml:space="preserve">c._ </s> <s xml:id="echoid-s398" xml:space="preserve"><lb/>E quì recita le mie pai ole [Mà il P. </s> <s xml:id="echoid-s399" xml:space="preserve">Ricciolinon vuole ſij <lb/>ſuppoſta queſta euidenza, mentre procura prouarla, e con <pb o="9" file="0021" n="21"/> ragioni, e con l´eſperienza] Nè io hò dedotto, che volen-<lb/>do il P. </s> <s xml:id="echoid-s400" xml:space="preserve">Riccioli prouar l´Aſſioma con ragioni, & </s> <s xml:id="echoid-s401" xml:space="preserve">eſperienze, <lb/>non lo ſupponga noto _lumine naturæ_ aſſolutamente, ma <lb/>comparatiuamente come quelli di Euclide nelli Elementi, <lb/>li quali non amettono proua alcuna, ma ſubito l´intellet-<lb/>to gli preſta l´aſſenſo alla ſemplice intelligenza de termini. <lb/></s> <s xml:id="echoid-s402" xml:space="preserve">Tali ſono. </s> <s xml:id="echoid-s403" xml:space="preserve">_Omne totum eſt maius ſua parte. </s> <s xml:id="echoid-s404" xml:space="preserve">Si ab ęqualib@s_ <lb/>_ęqualia demas quæ remanent ſunt æqualia_; </s> <s xml:id="echoid-s405" xml:space="preserve">e quelli altri, li <lb/>quali chi procura di voler dimoſtrare, come hà procurato <lb/>Apollonio, altro non fà, che peſtar acqua nel mortaio, <lb/>che di chiara diuiene torbida. </s> <s xml:id="echoid-s406" xml:space="preserve">Poiche eſsendo queſti il <lb/>medeſimo, che Dignità, e principij primi, di queſti in ſp@-<lb/>tie ſi verifica quel tanto decantato detto di Ariſtotile, che <lb/>_Contra negantes principia non eſt diſputandum_. </s> <s xml:id="echoid-s407" xml:space="preserve">Nè queſti <lb/>communi, e primi di Euclide poſſono eſser negati ſe non <lb/>da quelli, che non hauendo ragione, ò diſcorſo alcuno, <lb/>ſono peggiori delle Beſtie.</s> <s xml:id="echoid-s408" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s409" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s410" xml:space="preserve">Mà ſe il Sig. </s> <s xml:id="echoid-s411" xml:space="preserve">Manfredi vuole che queſto del P. </s> <s xml:id="echoid-s412" xml:space="preserve">Ric-<lb/>cioli ſia riconoſciuto come Aſſioma euidente _Lumine natu-_ <lb/>_ræ_, mi pare vna ſcorteſia il volerlo neceſſitare à credere al-<lb/>trimente.</s> <s xml:id="echoid-s413" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s414" xml:space="preserve">Matt. </s> <s xml:id="echoid-s415" xml:space="preserve">Io credeuo difarli ſeruigio, mentre incontrando <lb/>queſto Aſſioma in tanti intoppi, quanti habbiamo noi con-<lb/>ſiderati, affermaſſi tenerlo il _P_. </s> <s xml:id="echoid-s416" xml:space="preserve">Riccioli in concetto di quel-<lb/>li Aſſiomi, ò principij, li quali non ſolo non eſſendo noti <lb/>_lumine naturæ_, ma nè anco _lumine candelæ_, poſſono meri-<lb/>tamente eſſer chiamati aſſerti tali, che non iſdegnano di <lb/>ammettere per loro ſoſtegno eſperienze, induttioni, e proue <lb/>negatiue. </s> <s xml:id="echoid-s417" xml:space="preserve">Tanto più, che il P. </s> <s xml:id="echoid-s418" xml:space="preserve">Riccioli prima direcitarlo, <lb/>dice. </s> <s xml:id="echoid-s419" xml:space="preserve">_Sed prius præmittendum eſt vnum Axioma, aut quaſi_ <lb/>_Axioma à nemine Phyſicorum negandam_. </s> <s xml:id="echoid-s420" xml:space="preserve">Mà perſiſtendo <lb/>pure il Sig. </s> <s xml:id="echoid-s421" xml:space="preserve">Manfredi in volere, che ſia quale lei dice, la-<lb/>ſciamolo con la ſua velleità, e paſſiamo all altra noſtra fal-<lb/>ſa conſequenza, che egli dice.</s> <s xml:id="echoid-s422" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s423" xml:space="preserve">Con. </s> <s xml:id="echoid-s424" xml:space="preserve">Silamenta, egli che io habbia detto, che _Con l´eſpe-_ <lb/>_rienza fatta della determinata accelcratione d´vngraue invn_ <pb o="10" file="0022" n="22"/> _parallelo, ò clima, habbia procurato il P. </s> <s xml:id="echoid-s425" xml:space="preserve">Riccioli di prouare il_ <lb/>_ſoprapoſto Aſſioma_. </s> <s xml:id="echoid-s426" xml:space="preserve">Nel che certo non riferiſce quel tanto, che <lb/>io hò detto. </s> <s xml:id="echoid-s427" xml:space="preserve">Perche io riferiſco l´eſperienza dell´accelera-<lb/>tione del graue fatta dal Galileo in vn Parallelo, e poi dal-<lb/>li PP. </s> <s xml:id="echoid-s428" xml:space="preserve">Riccioli, Grimaldi, e Giorgio Caſſiano in quello di <lb/>Bologna, e dico che dall´vniformità delle eſperienze in. <lb/></s> <s xml:id="echoid-s429" xml:space="preserve">queſti due diuerſi luoghi ſi conferma con eſperienza lo Aſ-<lb/>ſioma. </s> <s xml:id="echoid-s430" xml:space="preserve">E mi pareua poterlo dedure da quanto ſoggiunge <lb/>immediatamente dopò l´Aſſioma per ſua eſplicatione, men-<lb/>tre riferendo le ſue eſperienze delle accelerationi del gra-<lb/>ue notate da eſſi nel parallelo di Bologna, ſoggiunge. </s> <s xml:id="echoid-s431" xml:space="preserve">_Zui-_ <lb/>_bus ſimilia expertum ſe Galilæus testatur; </s> <s xml:id="echoid-s432" xml:space="preserve">&</s> <s xml:id="echoid-s433" xml:space="preserve">c_. </s> <s xml:id="echoid-s434" xml:space="preserve">ſeguitando poi <lb/>dire, che il medemo ſuccederà in tutti li altri luoghi della <lb/>Terra.</s> <s xml:id="echoid-s435" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s436" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s437" xml:space="preserve">Mò che, và egli forſe in colera, e piglia vento, <lb/>perche habbia lei detto, che lo confermi con quelle eſpe-<lb/>rienze?</s> <s xml:id="echoid-s438" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s439" xml:space="preserve">Con. </s> <s xml:id="echoid-s440" xml:space="preserve">Certo; </s> <s xml:id="echoid-s441" xml:space="preserve">dicendo, che _quell Aſſioma non include alcu-_ <lb/>_na determinata proportione d´incremento di velocità, & </s> <s xml:id="echoid-s442" xml:space="preserve">è per_ <lb/>_ſe ſteſſo euidente ſenza eſſa, e ſenza l´eſperienza_.</s> <s xml:id="echoid-s443" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s444" xml:space="preserve">Matt. </s> <s xml:id="echoid-s445" xml:space="preserve">In verità lo Aſſioma è propoſto vniuerſalmente di <lb/>ogni incremento di velocità; </s> <s xml:id="echoid-s446" xml:space="preserve">ſotto la quale generalità con-<lb/>tenendoſi la particolare acceleratione ſecondo li quadrati <lb/>delli tempi, io giudicauo, che fondata queſta con l´eſpe-<lb/>rienza in due diuerſi luoghi, valeſſe molto à confirmar l´-<lb/>Aſſioma, ſe non in generale, almeno in queſta ſorte d´incre-<lb/>mento; </s> <s xml:id="echoid-s447" xml:space="preserve">il quale eſſendo come ſpetie contenuto ſotto il ge-<lb/>nere, credeuo che ſondandoſi la ſpetie ſopra la baſe dell´-<lb/>eíperienza, ſi fondaſſe anco il medemo genere in certo mo-<lb/>do. </s> <s xml:id="echoid-s448" xml:space="preserve">Si come ſe alcuno diceſſe, che ogni animal ſente; </s> <s xml:id="echoid-s449" xml:space="preserve">e pro-<lb/>uaſſe ciò con eſperienza delli huomini; </s> <s xml:id="echoid-s450" xml:space="preserve">ſtimarei che la ſua <lb/>vniuerſal propoſitione riceueſſe vtile, e non danno dalla <lb/>particolare.</s> <s xml:id="echoid-s451" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s452" xml:space="preserve">Ofred, Mà ſe il luo Aſſioma anco con queſte eſperienze <lb/>incontra tante difficoltà, e così difficilmente hà cauato da <lb/>noi qualche aſſenſo; </s> <s xml:id="echoid-s453" xml:space="preserve">che ſarà quando ſi pretenda, che ſia <pb o="11" file="0023" n="23"/> creduro ſenza eſperienza? </s> <s xml:id="echoid-s454" xml:space="preserve">Horsu io facio il mio pronoſti-<lb/>co L´infermità del Sig Manfredi è incurabile, mentre get-<lb/>ta le Medicine, le quali poſsono apportargli qualche ſa-<lb/>lute.</s> <s xml:id="echoid-s455" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s456" xml:space="preserve">Con. </s> <s xml:id="echoid-s457" xml:space="preserve">Paſſiamo al num. </s> <s xml:id="echoid-s458" xml:space="preserve">4. </s> <s xml:id="echoid-s459" xml:space="preserve">nel quale ſiparla di quelle trè <lb/>ſerie d´eſperienze del graue cadente, da eſso regiſtrate nel <lb/>cap, 16 del 9. </s> <s xml:id="echoid-s460" xml:space="preserve">lib. </s> <s xml:id="echoid-s461" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s462" xml:space="preserve">e da noi recitate dalla faccia-<lb/>ta 8. </s> <s xml:id="echoid-s463" xml:space="preserve">all´11. </s> <s xml:id="echoid-s464" xml:space="preserve">Nelle quali comparando li numeri di vna ſerie <lb/>con quelli dell´altra, ſono ſtati ritrouati alcuni pochiſua-<lb/>rii, li quali non ſi trouano comparando li numeri della <lb/>medema ſerie ſe non nell´vltimo della terza, riconoſciuto <lb/>pure dal medemo P. </s> <s xml:id="echoid-s465" xml:space="preserve">Riccioli nel lib. </s> <s xml:id="echoid-s466" xml:space="preserve">9. </s> <s xml:id="echoid-s467" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s468" xml:space="preserve">à carte <lb/>386. </s> <s xml:id="echoid-s469" xml:space="preserve">Quì ſi lamenta, dicendo. </s> <s xml:id="echoid-s470" xml:space="preserve">_La qual confeſſione doueua rife-_ <lb/>_rir il Dialogiſta_.</s> <s xml:id="echoid-s471" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s472" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s473" xml:space="preserve">A lei Sig. </s> <s xml:id="echoid-s474" xml:space="preserve">Profeſſore. </s> <s xml:id="echoid-s475" xml:space="preserve">Queſta è nelnumero di quelle <lb/>parole, che non meritano riſpoſta?</s> <s xml:id="echoid-s476" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s477" xml:space="preserve">Matt. </s> <s xml:id="echoid-s478" xml:space="preserve">Quì darò vn eſſempio della mia ingenuità, con-<lb/>feſſando liberamente, di non hauer oſleruata queſta ſua <lb/>confeſſione. </s> <s xml:id="echoid-s479" xml:space="preserve">Manco male però, che l´è il vero, cioè che <lb/>ve ſia quel ſuario. </s> <s xml:id="echoid-s480" xml:space="preserve">Ma perche parmi, che il Sig. </s> <s xml:id="echoid-s481" xml:space="preserve">Manfredi <lb/>eſtenui molto li ſuarij di queſta eſperienza: </s> <s xml:id="echoid-s482" xml:space="preserve">giudico bene, <lb/>che ſi fermiamo vn poco ſopra queſto particolare, e che <lb/>poniamo in chiaro tutto ilnegotio.</s> <s xml:id="echoid-s483" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s484" xml:space="preserve">Trè ſono le ſerie regiſtrate dal P. </s> <s xml:id="echoid-s485" xml:space="preserve">Riccioli, nelle quali ſi <lb/>vuol prouare con l´eſperienza, che li ſpatij paſſati dal gra-<lb/>ue moſſo naturalmente all´ingiù ſijno come li quadrati del-<lb/>li tempi. </s> <s xml:id="echoid-s486" xml:space="preserve">La prima primcipia dalle 5. </s> <s xml:id="echoid-s487" xml:space="preserve">vibrationi ſemplici, <lb/>alle quali corriſpoſero 10. </s> <s xml:id="echoid-s488" xml:space="preserve">piedi Romaniantichi. </s> <s xml:id="echoid-s489" xml:space="preserve">La ſe-<lb/>conda dalle 6. </s> <s xml:id="echoid-s490" xml:space="preserve">con piedi 15. </s> <s xml:id="echoid-s491" xml:space="preserve">La terza dalle 6. </s> <s xml:id="echoid-s492" xml:space="preserve">{1/2}. </s> <s xml:id="echoid-s493" xml:space="preserve">con piedi <lb/>18.</s> <s xml:id="echoid-s494" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s495" xml:space="preserve">Hora prendiamo la prima di 5. </s> <s xml:id="echoid-s496" xml:space="preserve">vibrationi, e piedi 10. </s> <s xml:id="echoid-s497" xml:space="preserve">e <lb/>poniamola come radicale, e vera; </s> <s xml:id="echoid-s498" xml:space="preserve">e paragoniamo con <lb/>quefta le altre due ſerie, le quali ſecondo il P. </s> <s xml:id="echoid-s499" xml:space="preserve">Riccioli, ſo-<lb/>no, e ſecondo la verità deuono eſſere, come ſegue.</s> <s xml:id="echoid-s500" xml:space="preserve"/> </p> <pb o="12" file="0024" n="24"/> <note position="right" xml:space="preserve"> <lb/>Vibrationi # Piedi Riccioliani # Piedi veri <lb/>5 # 10 <lb/>6 # 15 # 14 {2/5} <lb/>12 # 60 # 57 {3/5} <lb/>18 # 135 # 129 {3/5} <lb/>24 # 240 # 230 {2/5} <lb/>26 # 280 # 270 {2/5} <lb/>6 {1/2} # 18 # 16 {9/10} <lb/>13 # 72 # 67 {3/5} <lb/>19 {1/2} # 162 # 152 {8/10} <lb/>26 # 280 # 270 {2/5} <lb/></note> <p> <s xml:id="echoid-s501" xml:space="preserve">Poniamo come radicale, e vera per eſperienza vibrationi <lb/>6, e piedi 15.</s> <s xml:id="echoid-s502" xml:space="preserve"/> </p> <note position="right" xml:space="preserve"> <lb/>Vibrationi # Piedi Ricciol. # Piedi Veri <lb/>6 # 15 <lb/>5 # 10 # 10 {5/12} <lb/>10 # 40 # 41 {2/3} <lb/>15 # 90 # 93 {3/4} <lb/>20 # 160 # 166 {2/3} <lb/>25 # 250 # 260 {5/13} <lb/></note> <pb o="13" file="0025" n="25"/> <note position="right" xml:space="preserve"> <lb/>Vibrationi # Piedi Ricc. # Piedi Veri <lb/>6 {1/2} # 18 # 17 {29/48} <lb/>13 # 72 # 70 {5/12} <lb/>19 {1/2} # 162 # 158 {7/16} <lb/>26 # 280 # 281 {2/3} <lb/></note> <p> <s xml:id="echoid-s503" xml:space="preserve">Poniamo come radicale, e vera per eſperienza vibrationi <lb/>6. </s> <s xml:id="echoid-s504" xml:space="preserve">{1/2} e piedi 18.</s> <s xml:id="echoid-s505" xml:space="preserve"/> </p> <note position="right" xml:space="preserve"> <lb/>Vibrationi # Piedi Ricc. # Piedi Veri. <lb/>6 {1/2} # 18 <lb/>5 # 10 # 10 {110/169} <lb/>10 # 40 # 42 {102/169} <lb/>15 # 90 # 95 {145/169} <lb/>20 # 160 # 170 {70/169} <lb/>25 # 250 # 266 {46/169} <lb/>6 # 15 # 15 {57/169} <lb/>12 # 60 # 61 {59/169} <lb/>18 # 135 # 138 {6/169} <lb/>24 # 240 # 245 {67/169} <lb/>26 # 280 # 288 <lb/></note> <pb o="14" file="0026" n="26"/> <p> <s xml:id="echoid-s506" xml:space="preserve">Hora trouandoſi tanta varietà, come appariſse, nelli fo-<lb/>pradetti calcoli, ſaluo errore, io non sò vedere quale di <lb/>queſti ſi poſſa dire eſſer vero alsolutamente, e fondato ſo-<lb/>pra l´eſperienza.</s> <s xml:id="echoid-s507" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s508" xml:space="preserve">_Con. </s> <s xml:id="echoid-s509" xml:space="preserve">Il Manfredi dice quale è la vera, ſoggiungendo._ <lb/></s> <s xml:id="echoid-s510" xml:space="preserve">Mibà di più confeſſato il P. </s> <s xml:id="echoid-s511" xml:space="preserve">Riccioli, che per non eßer ſtati li nu-<lb/>meri della terza ſerie così preciſi, quanto alle vibraiioni, ſi at-<lb/>tenne alla ſeconda ſerie.</s> <s xml:id="echoid-s512" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s513" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s514" xml:space="preserve">Mànella prima ſerie non vi è mancanza di preci-<lb/>fione, e pure vi è lo ſuario notato.</s> <s xml:id="echoid-s515" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s516" xml:space="preserve">_Con._ </s> <s xml:id="echoid-s517" xml:space="preserve">E che ancorche ſcorgeſſe qualche poca varietà trà li nu-<lb/>meri di vna ſerie, e li numeri dell´ altra, nondimeno riconobbe in <lb/>eſſi tanto vera la proportione trouata dal Galileo, che ſt imò non <lb/>douer perſona alcuna diſcreta;</s> <s xml:id="echoid-s518" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s519" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s520" xml:space="preserve">A lei Sig. </s> <s xml:id="echoid-s521" xml:space="preserve">Profeſſore.</s> <s xml:id="echoid-s522" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s523" xml:space="preserve">_Con._ </s> <s xml:id="echoid-s524" xml:space="preserve">Et auezza ad eſperimenti fiſici abuſarſi della ſua ſin-<lb/>cerità, e da ſi poco ſuario rifiutare come falſa, ò fallace ſi bella <lb/>proportione, contanti ſegni manifeſtata. </s> <s xml:id="echoid-s525" xml:space="preserve">Etc.</s> <s xml:id="echoid-s526" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s527" xml:space="preserve">Matt. </s> <s xml:id="echoid-s528" xml:space="preserve">Oquà sì Sig. </s> <s xml:id="echoid-s529" xml:space="preserve">Ofreddi, che deue hauer luogo, che <lb/>ogni parolanon vuol rispoſta. </s> <s xml:id="echoid-s530" xml:space="preserve">Tanto più, che non parla <lb/>con noi, mentre mai ſi ſiamo abuſati dalla ſincerità del P. <lb/></s> <s xml:id="echoid-s531" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s532" xml:space="preserve">nè habbiamo rifiutata quella bella proportione, <lb/>che li ſpatij paſſati ſijho come li quadrati delli tempi. </s> <s xml:id="echoid-s533" xml:space="preserve">Anzi <lb/>che in progreſſo l´habbiamo riceuuta. </s> <s xml:id="echoid-s534" xml:space="preserve">Solo habiamo detto, <lb/>quello, che è in realtà cioè che le loro eſperienze ſono lu-<lb/>briche, e fallaci; </s> <s xml:id="echoid-s535" xml:space="preserve">e che in conſequenza non hanno quella <lb/>forza diconuincere, che eſſi s´imaginano.</s> <s xml:id="echoid-s536" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s537" xml:space="preserve">Ma hauendo il Sig. </s> <s xml:id="echoid-s538" xml:space="preserve">Manfredi fatto mentione del Galileo; <lb/></s> <s xml:id="echoid-s539" xml:space="preserve">& </s> <s xml:id="echoid-s540" xml:space="preserve">hauendo il P. </s> <s xml:id="echoid-s541" xml:space="preserve">Riccioli in tanti luoghi decantata l´vnifor-<lb/>mità in queſto propoſito del Galileo, e delle ſue proprie eſ-<lb/>perienze; </s> <s xml:id="echoid-s542" xml:space="preserve">vediamo ſe dal paragone di queſte habbiamo più <lb/>occaſione di dubitare, e dire che ſono lubriche, e fallaci, che <lb/>dalla ſola conſideratione di quelle del P. </s> <s xml:id="echoid-s543" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s544" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s545" xml:space="preserve">Il Galileo adunque nelli Dialogi delli due ſiſtemi Dia-<lb/>log. </s> <s xml:id="echoid-s546" xml:space="preserve">2. </s> <s xml:id="echoid-s547" xml:space="preserve">dopo hauer portata queſta dottrina dell´acceleratio-<lb/>ne, e volendo confutare quello, che diccua, che vn graue ca- <pb o="15" file="0027" n="27"/> dendo dall´orbe della Luna haurebbe conſumato in arriuar <lb/>al centro più di 6. </s> <s xml:id="echoid-s548" xml:space="preserve">giorni, dice nella pag. </s> <s xml:id="echoid-s549" xml:space="preserve">lat. </s> <s xml:id="echoid-s550" xml:space="preserve">165. </s> <s xml:id="echoid-s551" xml:space="preserve">_Ponamus_ <lb/>_calculo noſtro ſubiiciendum globum ferreum centum librarum,_ <lb/>_qui, quod eſperientia ſæpe repetita docuit, centum cubitorum_ <lb/>_altitudinem, quinque ſecundis boræ minutis emetitur._ </s> <s xml:id="echoid-s552" xml:space="preserve">Hora <lb/>cubiti 100. </s> <s xml:id="echoid-s553" xml:space="preserve">ſecondo la meſura commune poſta dal P. </s> <s xml:id="echoid-s554" xml:space="preserve">Riccio-<lb/>li nel lib. </s> <s xml:id="echoid-s555" xml:space="preserve">2. </s> <s xml:id="echoid-s556" xml:space="preserve">della Geograf. </s> <s xml:id="echoid-s557" xml:space="preserve">cap. </s> <s xml:id="echoid-s558" xml:space="preserve">2. </s> <s xml:id="echoid-s559" xml:space="preserve">doueriano eſſer piedi 150. <lb/></s> <s xml:id="echoid-s560" xml:space="preserve">ma eſplicandoſi il Galileo, che per cubiti intende di quelli, <lb/>delli quali 3000. </s> <s xml:id="echoid-s561" xml:space="preserve">fanno vn miglio, in quelle parole poſte <lb/>poco ſotto; </s> <s xml:id="echoid-s562" xml:space="preserve">_Quorum vnumquodque ſit cubitærum 3000. </s> <s xml:id="echoid-s563" xml:space="preserve">cuinſ-_ <lb/>_modi ſunt Italica noſtra milliaria._ </s> <s xml:id="echoid-s564" xml:space="preserve">ne ſegue da ciò, che 100. </s> <s xml:id="echoid-s565" xml:space="preserve"><lb/>cubiti del Galileo (ſuppoſto, che le miglia ſue, e del Riccio-<lb/>li ſijno le medeme) ſaranno piedi del Riccioli 166 {2/3}. </s> <s xml:id="echoid-s566" xml:space="preserve">fa-<lb/>cendo ſecondo queſto vn miglio piedi 5000. </s> <s xml:id="echoid-s567" xml:space="preserve">Adunque ſe-<lb/>condo il Galileo in 5. </s> <s xml:id="echoid-s568" xml:space="preserve">ſecondi horarij vn gran globo fà di <lb/>ſpatio piedi 266 {2/3}. </s> <s xml:id="echoid-s569" xml:space="preserve">Hora vediamo in 5. </s> <s xml:id="echoid-s570" xml:space="preserve">ſecondi horarij quā-<lb/>to viaggio fail globetto di creta di 8. </s> <s xml:id="echoid-s571" xml:space="preserve">oncie di peſo del P. </s> <s xml:id="echoid-s572" xml:space="preserve"><lb/>Riccioli, e prendiamo la ſua ſerie fidata, cioè quella, che <lb/>principia dalle 6, vibrationi, che ſecondo eſſo fanno vn ſe-<lb/>condo horario, alle quali corriſpondono piedi 15. </s> <s xml:id="echoid-s573" xml:space="preserve">Adun-<lb/>que in vibrationi 30. </s> <s xml:id="echoid-s574" xml:space="preserve">cioè ſecondi 5. </s> <s xml:id="echoid-s575" xml:space="preserve">douerà eſſer lo ſpatio <lb/>piedi 375. </s> <s xml:id="echoid-s576" xml:space="preserve">ſpatio tanto maggiore di quello del Galileo.</s> <s xml:id="echoid-s577" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s578" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s579" xml:space="preserve">Non ſi può negare, che queſto non ſia vn gran ſua-<lb/>rio, ma forſe ſuccederà per la diuerſità delle miglia.</s> <s xml:id="echoid-s580" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s581" xml:space="preserve">Matt. </s> <s xml:id="echoid-s582" xml:space="preserve">Il Galileo pure ſi è ſeruito di miglia Italiane, come <lb/>egli dice, trà le quali non vi è diuerſità così grande. </s> <s xml:id="echoid-s583" xml:space="preserve">Ma pu-<lb/>re quando ànco vi foſſe gran diuerſità, forſe ſarà maggiore à <lb/>noſtro fauore quella, che naſce dalla diuerſità d´opinione, <lb/>che verte trà il Galileo, & </s> <s xml:id="echoid-s584" xml:space="preserve">il P. </s> <s xml:id="echoid-s585" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s586" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s587" xml:space="preserve">Stimò il Galileo, che tutti li graui, maſſime della materia <lb/>medema, ſe bene trà loro vi ſia molta differenza nel-<lb/>la grauità aſſoluta, paſſino il medemo ſpatio quaſi nel me-<lb/>demo tempo. </s> <s xml:id="echoid-s588" xml:space="preserve">Che perciò ſoggiunge nel cit. </s> <s xml:id="echoid-s589" xml:space="preserve">luogo pag. </s> <s xml:id="echoid-s590" xml:space="preserve">164. <lb/></s> <s xml:id="echoid-s591" xml:space="preserve">_Globi, qui vnam, qui decem, qui centum, immò qui mille libras_ <lb/>_pendunt, eoſdem illos centum cubitos eodem omnino tempore_ <pb o="16" file="0028" n="28"/> _metiemur._ </s> <s xml:id="echoid-s592" xml:space="preserve">Il medeſimo dice in altri luoghi. </s> <s xml:id="echoid-s593" xml:space="preserve">Queſta dottri-<lb/>na del Galileo, e dimolti altri, che dicono hauerla fonda-<lb/>ta nell´eſperienze, non viene approuata dal P. </s> <s xml:id="echoid-s594" xml:space="preserve">Riccioli, il <lb/>quale nel cap. </s> <s xml:id="echoid-s595" xml:space="preserve">16. </s> <s xml:id="echoid-s596" xml:space="preserve">dellib. </s> <s xml:id="echoid-s597" xml:space="preserve">9. </s> <s xml:id="echoid-s598" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s599" xml:space="preserve">nella Claſſe 4. </s> <s xml:id="echoid-s600" xml:space="preserve">dell´ <lb/>eſperienze dice, hauer eſperimentato alla preſenza di di-<lb/>uerſi in varij graui, ſempre il maggiore aſſai prima paſſar il <lb/>medeſimo ſpatio del minore. </s> <s xml:id="echoid-s601" xml:space="preserve">Hora da queſto ſi raccoglie, <lb/>che ſe il globetto del P. </s> <s xml:id="echoid-s602" xml:space="preserve">Riccioli fà piedi 375. </s> <s xml:id="echoid-s603" xml:space="preserve">in 5. </s> <s xml:id="echoid-s604" xml:space="preserve">ſecondi <lb/>horarij, douerebbe il gran globo del Galileo farne tanti <lb/>più. </s> <s xml:id="echoid-s605" xml:space="preserve">E pure hà eſperimentato il Galileo con´iterrate eſpe-<lb/>rienze farne tanti meno.</s> <s xml:id="echoid-s606" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s607" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s608" xml:space="preserve">ſempre più parmi vero quel detto commune, che <lb/>il creder è mera corteſia. </s> <s xml:id="echoid-s609" xml:space="preserve">Ciaſcuno hà fatto le ſue eſperien-<lb/>ze; </s> <s xml:id="echoid-s610" xml:space="preserve">vuole, che ſe gli preſti fede; </s> <s xml:id="echoid-s611" xml:space="preserve">le vende per verità ir-<lb/>refragabili; </s> <s xml:id="echoid-s612" xml:space="preserve">e pure vi è tanta diuerſità. </s> <s xml:id="echoid-s613" xml:space="preserve">Non ſi merauigli <lb/>adunque il Sig. </s> <s xml:id="echoid-s614" xml:space="preserve">Manfredi ſe tante titubationi fanno titubar <lb/>ancor noi.</s> <s xml:id="echoid-s615" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s616" xml:space="preserve">Matt. </s> <s xml:id="echoid-s617" xml:space="preserve">Souienmi ancora´di due altri motiui, che ci poſſo-<lb/>no dar materia di dubitare di ſimili eſperienze, quali pren-<lb/>der poſſiamo da altre coſe pure eſperimentate nella famo-<lb/>ſiſſima Accademia del Cimento, alla preſenza dell´ Emi-<lb/>nentiſſimo Prencipe Cardinale Leopoldo de Medici, e di <lb/>tanti altri Nobiliſſimi Accademici. </s> <s xml:id="echoid-s618" xml:space="preserve">Si dice nella pag. </s> <s xml:id="echoid-s619" xml:space="preserve">20. <lb/></s> <s xml:id="echoid-s620" xml:space="preserve">che hanno per eſperienza, che non tutte le vibrationi del <lb/>medeſimo pendolo ſi fanno in tempi eguali, ma in più breue <lb/>quelle che più s´accoſtano alla quiete. </s> <s xml:id="echoid-s621" xml:space="preserve">E pure il P. </s> <s xml:id="echoid-s622" xml:space="preserve">Riccioli <lb/>lc riceue come fatte tutte in tempi eguali. </s> <s xml:id="echoid-s623" xml:space="preserve">Parimente ſi di-<lb/>ce iui nella pag. </s> <s xml:id="echoid-s624" xml:space="preserve">22, che il più corto pendolo oſſeruabile <lb/>dalla noſtra vi@ta è quello, che compie vna intiera vibratio-<lb/>ne in vn mezo ſecondo d´hora. </s> <s xml:id="echoid-s625" xml:space="preserve">E pure il P. </s> <s xml:id="echoid-s626" xml:space="preserve">Riccioli dice <lb/>eſserſi ſeruito di vn pendolo, che faceua in vn ſecondo d´-<lb/>hora 6. </s> <s xml:id="echoid-s627" xml:space="preserve">vibrationi ſemplici, cioè trè compoſte; </s> <s xml:id="echoid-s628" xml:space="preserve">& </s> <s xml:id="echoid-s629" xml:space="preserve">in conſe-<lb/>quenza vna compoſta in vn terzo d´vn ſecondo d´hora. </s> <s xml:id="echoid-s630" xml:space="preserve">On-<lb/>de coſa habbiamo da credere?</s> <s xml:id="echoid-s631" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s632" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s633" xml:space="preserve">Si contentano loro Signori, che io dica libera-<lb/>mente il mio parere? </s> <s xml:id="echoid-s634" xml:space="preserve">ſtimo, che in queſta materia il nego- <pb o="17" file="0029" n="29"/> tio camini alla riuerſcia di quello accade nella Leſina, della <lb/>quale ſi dice nel frontiſpicio del libro delli Leſinanti.</s> <s xml:id="echoid-s635" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s636" xml:space="preserve">Quanto più s´aſsottiglia meglio fora. <lb/></s> <s xml:id="echoid-s637" xml:space="preserve">Quì parmi, che quanto più s´aſsottiglia il negotio, tanto <lb/>meno facia foro nelmio intelletto, e tanto meno vi entri.</s> <s xml:id="echoid-s638" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s639" xml:space="preserve">Matt. </s> <s xml:id="echoid-s640" xml:space="preserve">lo non dico così. </s> <s xml:id="echoid-s641" xml:space="preserve">Mà dico bene à piena bocca, <lb/>che eſsendo queſte eſperienze tanto lubriche, e fallaci, non <lb/>potiamo dedur da eſse ragioni di qualità più ſoda, e ſtabi-<lb/>le.</s> <s xml:id="echoid-s642" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s643" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s644" xml:space="preserve">Odino loro Signori in ſimil propoſito le parole del <lb/>P. </s> <s xml:id="echoid-s645" xml:space="preserve">Riccioli degne di caratteri d´oro, regiſtrate da eſso nel <lb/>principio del cap. </s> <s xml:id="echoid-s646" xml:space="preserve">19 del lib. </s> <s xml:id="echoid-s647" xml:space="preserve">9. </s> <s xml:id="echoid-s648" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s649" xml:space="preserve">precedenti im-<lb/>mediate à quel ſuo Asſioma. </s> <s xml:id="echoid-s650" xml:space="preserve">_Conſultiſſimè_ (dice egli) _ac de_ <lb/>_inductria præmiſimus cap. </s> <s xml:id="echoid-s651" xml:space="preserve">16. </s> <s xml:id="echoid-s652" xml:space="preserve">tot experimenta circa natur alem_ <lb/>_deſcenſum corporum grauium, aſcenſumque leuium, vt ſolidio-_ <lb/>_rapræijceremus fundamenta his, quæ mox proferemus, argu-_ <lb/>_mentis contra motum Terræ quæ ſanè tantam babebunt eui-_ <lb/>_dentiam phyſicam apudeos, qui experiri volent idem, aut tan-_ <lb/>_tam fidem apud credentes noſtris experimentis, quantam cui-_ <lb/>_dentiam habent ipſa experimenta._</s> <s xml:id="echoid-s653" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s654" xml:space="preserve">Cont. </s> <s xml:id="echoid-s655" xml:space="preserve">Horsù feguirò à riferire quel tanto, che diceil <lb/>Manfredi nel medemo numero. </s> <s xml:id="echoid-s656" xml:space="preserve">Pretende prima, che mala-<lb/>mente ſia ſtato negato, che quella regola di Tolomeo ne gli <lb/>Armonici addotta da me, cioè, che _ſenſus dat propinquum,_ <lb/>_ratio autem exactum_, hauer quì luogo. </s> <s xml:id="echoid-s657" xml:space="preserve">_Perche_ (dice egli) <lb/>_vale in tuttili caſi, quando con moltitudine di reitter ate eſpe-_ <lb/>_vienze ſi trona l´iſteſſo à capello, almeno in molte l´iſteſſo, e nel-_ <lb/>_le altre proſſimamente listeſſo, &</s> <s xml:id="echoid-s658" xml:space="preserve">c._</s> <s xml:id="echoid-s659" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s660" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s661" xml:space="preserve">Se così è, m´arriſchiarò anch´io di dire, che [la re-<lb/>gola di Tolomeo bella, e veriſſima non hà quì luogo] poi-<lb/>che nell´eſperienze addotte non ſolo non ſi ritroua l´iſteſſo à <lb/>capello, ma nè anco à gomena di galeone; </s> <s xml:id="echoid-s662" xml:space="preserve">e trà vna, e l´al-<lb/>tra vi è tanta lontananza, quanta ſi è veduta, non vicinan-<lb/>za.</s> <s xml:id="echoid-s663" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s664" xml:space="preserve">Matt. </s> <s xml:id="echoid-s665" xml:space="preserve">Non per queſto però io biaſimo l´eſperienze, e chi <lb/>l´hà fatte; </s> <s xml:id="echoid-s666" xml:space="preserve">ma gli rendo gratie infinite. </s> <s xml:id="echoid-s667" xml:space="preserve">Solo biaſimo il vo- <pb o="18" file="0030" n="30"/> ler venderle per più di quello, che sono. </s> <s xml:id="echoid-s668" xml:space="preserve">E il medemo fa-<lb/>rei delle oſſeruationi A ſtronomiche, quando vno voleſſe, <lb/>che io credeſſi eſſer vero preciſamente quel tanto, che ſi de-<lb/>duce dalle ſue oſſeruationi. </s> <s xml:id="echoid-s669" xml:space="preserve">L´Aſtronomia è vna coſa altiſ-<lb/>ſima, e come dice Platone nell´ Epiſionide, richiede nell´-<lb/>Aſtronomo vn ingegno ammirabile. </s> <s xml:id="echoid-s670" xml:space="preserve">E perqueſto io ho-<lb/>noro, e venero il P. </s> <s xml:id="echoid-s671" xml:space="preserve">Riccioli quaſi vn Semideo, eſſendo egli <lb/>vno delli più diligenti, e famoſi A ſtronomi, che habbia il <lb/>noſtro ſecolo. </s> <s xml:id="echoid-s672" xml:space="preserve">Mà quando alcuno mi vorrà far credere irre-<lb/>fragabili le concluſioni cauate dalle ſue oſſeruationi, con <lb/>ſua buona gratia, mi riderò di lui, mentre le oſſeruationi <lb/>dipendcno dalli ſenſi, e ſono ſottopoſte à mille inauer-<lb/>tenze; </s> <s xml:id="echoid-s673" xml:space="preserve">e sò che ben ſpeſso li A ſtronomi, nel dir la tal ſtel-<lb/>la è diſtante dalla Terra tanti paſſa, piedi, palmi, &</s> <s xml:id="echoid-s674" xml:space="preserve">c. </s> <s xml:id="echoid-s675" xml:space="preserve">s´in-<lb/>gannano di molti, e molti ſemidiametri della Terra, & </s> <s xml:id="echoid-s676" xml:space="preserve">al-<lb/>tre miſure.</s> <s xml:id="echoid-s677" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s678" xml:space="preserve">Cont. </s> <s xml:id="echoid-s679" xml:space="preserve">Simerauiglia poi il Sig Manfredi, che dalla boc-<lb/>ca del Sig. </s> <s xml:id="echoid-s680" xml:space="preserve">Profeſſore ſijno vſcite queſte parole [Dico, che <lb/>ſe ſopra la certezza, e verità di queſte eſperienze ſi doueſic <lb/>fondare la quiete, ò il moto della Terra, queſta girarebbe <lb/>più d´vn Furlone.</s> <s xml:id="echoid-s681" xml:space="preserve">] Lo muouono queſte ad inuocare l´aiuto <lb/>celeſte, dicendo, _Diæ miguardi dal prurito di contradire._ </s> <s xml:id="echoid-s682" xml:space="preserve">Si <lb/>marauiglia come da quella poca titubatione nelle ſue eſ-<lb/>perienze ſi poſſi dedure il moto della Terra, & </s> <s xml:id="echoid-s683" xml:space="preserve">interroga, <lb/>doue mai il P. </s> <s xml:id="echoid-s684" xml:space="preserve">Riccioli habbia fondato ſopra la certezza, ò <lb/>varietà di queſte eſperienze il moto della Terra. </s> <s xml:id="echoid-s685" xml:space="preserve">Hora non <lb/>hauendolo fondato, come ſi può dedure il moto di eſſa con <lb/>quella titub atione, ò varietà di vn Furlone? </s> <s xml:id="echoid-s686" xml:space="preserve">E qui ſtando <lb/>nella ſemplice ſimilitudine del Furlone, dice, che, _Prima_ <lb/>_conuenerebbe dedure più toſto il moto, ſe ſi poteſſe, chela quicte, e_ <lb/>_di poi la varietà del moto._</s> <s xml:id="echoid-s687" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s688" xml:space="preserve">Matt. </s> <s xml:id="echoid-s689" xml:space="preserve">Io non sò vedere, come dalle parole mie ſopra-<lb/>poſte habbia occaſione il Sig. </s> <s xml:id="echoid-s690" xml:space="preserve">Manfredi di dire quello, che <lb/>dice. </s> <s xml:id="echoid-s691" xml:space="preserve">Mai hò detto, che ſopra la certezza di quelle eſpe-<lb/>rienze fondi il P. </s> <s xml:id="echoid-s692" xml:space="preserve">Riccioli il moto della Terra. </s> <s xml:id="echoid-s693" xml:space="preserve">Pare bene <lb/>che ne fondi la quiete, eioè li argomenti per la quiete. </s> <s xml:id="echoid-s694" xml:space="preserve">On- <pb o="19" file="0031" n="31"/> de il mio ſenſo è quefto. </s> <s xml:id="echoid-s695" xml:space="preserve">Se voi P. </s> <s xml:id="echoid-s696" xml:space="preserve">Riccioli volete prouare <lb/>the la Terra ftia ferma fondato ſopra la certezza delle vo-<lb/>ſtre eſperienze, in guiſa che da quelle habbia da dipendere <lb/>il muouerfi, ò non muouerſi la Terra, eſſendo le voſtre eſ-<lb/>perienze tanto incoſtanti, e lubriche, biſognarebbe dire, <lb/>che la Terra ſi mouefſe più d´vn Furlone. </s> <s xml:id="echoid-s697" xml:space="preserve">Il che non deue <lb/>effer inteſo à puntino; </s> <s xml:id="echoid-s698" xml:space="preserve">perche sò anch´io, che fal famente <lb/>fupponendoſi il moto della Terra, queſto farebbe conſtan-<lb/>te, eregolato come quello delli altri Pianeti, Onde quelle <lb/>parole vanno inteſe _ſano mode;_ </s> <s xml:id="echoid-s699" xml:space="preserve">cioè per certo modo di di-<lb/>re, come ſentiamo ogni giorno vſarſi nelli humani diſ-<lb/>corſi.</s> <s xml:id="echoid-s700" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s701" xml:space="preserve">Con. </s> <s xml:id="echoid-s702" xml:space="preserve">Non occorre però, che lei ſi turbi di queſta coſa; <lb/></s> <s xml:id="echoid-s703" xml:space="preserve">perche le perdona queſto fallo, eſſendo, che lei in più luo-<lb/>ghi _accessa per buone Peſperienze della ſeconda ſerie._ </s> <s xml:id="echoid-s704" xml:space="preserve">E quì <lb/>dà vn auertimento, cioè che il P. </s> <s xml:id="echoid-s705" xml:space="preserve">Riccioli per prouare il <lb/>fuo intento non hà biſogno di quelle eſperienze preciſe, <lb/>mà proſſimamente, &</s> <s xml:id="echoid-s706" xml:space="preserve">c.</s> <s xml:id="echoid-s707" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s708" xml:space="preserve">Matt. </s> <s xml:id="echoid-s709" xml:space="preserve">Horsù vedremo queſta coſa à ſuo Iuogo quando <lb/>Ia dirà. </s> <s xml:id="echoid-s710" xml:space="preserve">Paſſiamo alnumero 5.</s> <s xml:id="echoid-s711" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s712" xml:space="preserve">Cont. </s> <s xml:id="echoid-s713" xml:space="preserve">In queſto ſi diſcorre fopra quanto diceua lei dalla <lb/>facciata 12. </s> <s xml:id="echoid-s714" xml:space="preserve">alla 14 reuocando in dubbio l´Affioma del P. <lb/></s> <s xml:id="echoid-s715" xml:space="preserve">Riccioli con li eſſempij della Calamita, e fluſſo marino. </s> <s xml:id="echoid-s716" xml:space="preserve">Di-<lb/>ce non correr la parità, ſtando che diquelle due varietà n-<lb/>habbiamo eíperienze, eragioni probabili; </s> <s xml:id="echoid-s717" xml:space="preserve">non della diuer-<lb/>ſità del moto delli graui, &</s> <s xml:id="echoid-s718" xml:space="preserve">.</s> </p> <p> <s xml:id="echoid-s719" xml:space="preserve">Matt. </s> <s xml:id="echoid-s720" xml:space="preserve">Il noſtro diſcorſo è ſtato conditionato, e per mo-<lb/>ſtrarecon quanta cautezza biſogni caminare nel fondar Af-<lb/>ſiomi da quello, che ſucceda in due luoghi, ò più, maſſime <lb/>quando lc coſe poteſſero dipendere dalla diuerſità delli <lb/>luoghi.</s> <s xml:id="echoid-s721" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s722" xml:space="preserve">Hora mentre che circa queſte coſe non ſtà la noſtra prin-<lb/>cipal controuerſia, mà ſono bagattelle, & </s> <s xml:id="echoid-s723" xml:space="preserve">acceſſorij, per <lb/>non alter care in coſe di poco momento, trapaffiamole, e <lb/>concediamo al Sig. </s> <s xml:id="echoid-s724" xml:space="preserve">Manfredi tutto quello, che vuole. </s> <s xml:id="echoid-s725" xml:space="preserve">Così <lb/>non ſi curiamo del numero 6.</s> <s xml:id="echoid-s726" xml:space="preserve"/> </p> <pb o="20" file="0032" n="32"/> <p> <s xml:id="echoid-s727" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s728" xml:space="preserve">Non già biſogna traſcurare quelle vltime parole, <lb/>cioè. </s> <s xml:id="echoid-s729" xml:space="preserve">_Reſtringendoſi per tanto al Parallelo di Fiorenza, ò de_ <lb/>_Bologna, ſi può prouare, e ſi prouerà, che ſuppoſto per bipoteſi il_ <lb/>_moto terreſtre Copernicano l´aeceleratione del graue natur al-_ <lb/>_mente cadente, non ſaria reale, ò vero ſaria tanto inſenſibile,_ <lb/>_che non corriſponderebbe à quella, che richiede la grandiſſima_ <lb/>_maggior anza della percoßa, quanto da maggior altezza diſcen-_ <lb/>_de il graue; </s> <s xml:id="echoid-s730" xml:space="preserve">d´onde con euidenza Fiſicomatematica ſi arguiſce_ <lb/>_difalſit à il ſiſtema Copernicano._ </s> <s xml:id="echoid-s731" xml:space="preserve">Per che eſſendo tutto ralſiſ-<lb/>ſimo ſi potrebbe commoda nente concederli qualche mil-<lb/>lione d´anni dopoil giudicio à prouarlo.</s> <s xml:id="echoid-s732" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s733" xml:space="preserve">Cont. </s> <s xml:id="echoid-s734" xml:space="preserve">Nelli numeri 7. </s> <s xml:id="echoid-s735" xml:space="preserve">8. </s> <s xml:id="echoid-s736" xml:space="preserve">e 9. </s> <s xml:id="echoid-s737" xml:space="preserve">ramenta al Lettore la <lb/>dottrina del Galileonelli Dialogi del ſiſt. </s> <s xml:id="echoid-s738" xml:space="preserve">Coſm. </s> <s xml:id="echoid-s739" xml:space="preserve">in diuerſi <lb/>luoghi, dell´incremento del diſcender li graui ſecondo la <lb/>duplicara proportione delli tempi, e del deſeriuer il graue, <lb/>mouendofila Terra la linea circolare.</s> <s xml:id="echoid-s740" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s741" xml:space="preserve">Nelnumero 10. </s> <s xml:id="echoid-s742" xml:space="preserve">dice che il P. </s> <s xml:id="echoid-s743" xml:space="preserve">Riccioli quantunque nel <lb/>lib 9. </s> <s xml:id="echoid-s744" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s745" xml:space="preserve">cap. </s> <s xml:id="echoid-s746" xml:space="preserve">17. </s> <s xml:id="echoid-s747" xml:space="preserve">moſtraſse, _che il detto graue non_ <lb/>_diſcendsrebbe per vna linea circolare, giudicò nondimeno di aſ-_ <lb/>_ſumerla, per argomentare, come ſi dice, ad hominem, contro il_ <lb/>_Galileo, e ſeruirſi dell´arme di eſſo per darli vn colpo mortale_ <lb/>_con lincremento della percoſſa, &</s> <s xml:id="echoid-s748" xml:space="preserve">c._</s> <s xml:id="echoid-s749" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s750" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s751" xml:space="preserve">Pouero Galileo non li baſtaua l´eſser diuenuto cie-<lb/>co, & </s> <s xml:id="echoid-s752" xml:space="preserve">altri infortunii patiti, ſenza che li voglino sforachiar <lb/>il ventre. </s> <s xml:id="echoid-s753" xml:space="preserve">Mà ſe l´argomento è _ad hominem_, non è contro il <lb/>Siſtema Copernicano, mà contro il Galileo, & </s> <s xml:id="echoid-s754" xml:space="preserve">altri li qua, <lb/>li diceſſero quel moto eſſer per circonferenza di circolo.</s> <s xml:id="echoid-s755" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s756" xml:space="preserve">Matt. </s> <s xml:id="echoid-s757" xml:space="preserve">Realmente chi conſidera bene le ſopradette paro-<lb/>le del Manfredi, e poi vede quanto ſucceſſiuamente và di-<lb/>cendo, ſcorge in lui vna gran confuſione nelli ſuoi aſſerti. <lb/></s> <s xml:id="echoid-s758" xml:space="preserve">Quà non pare, che egli dica, che quel moto ſia per circon-<lb/>ferenza; </s> <s xml:id="echoid-s759" xml:space="preserve">e pure à baſso in più luoghi non dice altro, che que-<lb/>fto. </s> <s xml:id="echoid-s760" xml:space="preserve">Dice, che l´argomento è _ad bominem_, e pure è contro <lb/>cutto il ſiſtema. </s> <s xml:id="echoid-s761" xml:space="preserve">Mà di ciò più à baſso.</s> <s xml:id="echoid-s762" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s763" xml:space="preserve">Cont. </s> <s xml:id="echoid-s764" xml:space="preserve">Seguita poi à dire in che conſiſte il colpo mor-<lb/>tale contro il Galileo. </s> <s xml:id="echoid-s765" xml:space="preserve">Mentre mouendoſi per linea circo- <pb o="21" file="0033" n="33"/> lare, & </s> <s xml:id="echoid-s766" xml:space="preserve">in conſeguenza equabilmente, far@bbe ſempre la me-<lb/>dema percoſsa. </s> <s xml:id="echoid-s767" xml:space="preserve">Il che non ſuccedendo _in praxi_, perche <lb/>quanto più da alto viene il graue, fa ſempre maggior per-<lb/>coſsa. </s> <s xml:id="echoid-s768" xml:space="preserve">Adunque, &</s> <s xml:id="echoid-s769" xml:space="preserve">c.</s> <s xml:id="echoid-s770" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s771" xml:space="preserve">Matt. </s> <s xml:id="echoid-s772" xml:space="preserve">Mà io tengo dicerto, che il Galileo facilmente ſe <lb/>liberarebbe da queſta grand´inſtanza, come ſe ne ſiamo li-<lb/>berati noinel Dialogo 2. </s> <s xml:id="echoid-s773" xml:space="preserve">eſsaminando l´argomento addot-<lb/>to nell´Aſtronomia riformata.</s> <s xml:id="echoid-s774" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s775" xml:space="preserve">Cont. </s> <s xml:id="echoid-s776" xml:space="preserve">Dice poi, che _due furono le cagioni, per le quali il_ <lb/>_P. </s> <s xml:id="echoid-s777" xml:space="preserve">Riccioli nellib. </s> <s xml:id="echoid-s778" xml:space="preserve">9. </s> <s xml:id="echoid-s779" xml:space="preserve">cap. </s> <s xml:id="echoid-s780" xml:space="preserve">19. </s> <s xml:id="echoid-s781" xml:space="preserve">riuolt andol argomento contro il_ <lb/>_Galileo, ſi ſeruì della line a circolare, quantunque baueſſe pre-_ <lb/>_meſſo nelcap. </s> <s xml:id="echoid-s782" xml:space="preserve">17. </s> <s xml:id="echoid-s783" xml:space="preserve">che non era tale_.</s> <s xml:id="echoid-s784" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s785" xml:space="preserve">Ofred, B ſogna bene che @o reſti ſincierato d´vn mio gran <lb/>dubbio. </s> <s xml:id="echoid-s786" xml:space="preserve">Lei dice, che il P. </s> <s xml:id="echoid-s787" xml:space="preserve">Riccioli fù d´opinione, che il <lb/>graue diſcendeſse per linea circolare, nel prouare la qual <lb/>coſa paralogizo. </s> <s xml:id="echoid-s788" xml:space="preserve">Hora egli in queſti due luoghi pare, che <lb/>dica in contrario. </s> <s xml:id="echoid-s789" xml:space="preserve">Mà di più lei confeſsa, che nel cap. </s> <s xml:id="echoid-s790" xml:space="preserve">17. <lb/></s> <s xml:id="echoid-s791" xml:space="preserve">procurò di prouare, che queſta linea caderebbe dentro la <lb/>circonferenza, e ſarebbe diuerſiſſima, alluntanandoſi ſem-<lb/>pre più da eſsa. </s> <s xml:id="echoid-s792" xml:space="preserve">Queſta è maniſeſtiſſima contraditione. </s> <s xml:id="echoid-s793" xml:space="preserve"><lb/>Come può eſset circolare, e diuerſa da eſsa?</s> <s xml:id="echoid-s794" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s795" xml:space="preserve">Matt. </s> <s xml:id="echoid-s796" xml:space="preserve">Biſogna addimandare di queſto ſuo dubbio la ſo-<lb/>lutione al medemo P. </s> <s xml:id="echoid-s797" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s798" xml:space="preserve">al Manfredi, li quali le di-<lb/>ranno, come vedremo à ſuo luogo, che è circolare ſino ad <lb/>vn grado di diſceſa, il quale viene paſsato in 4. </s> <s xml:id="echoid-s799" xml:space="preserve">minuti ho-<lb/>rarij; </s> <s xml:id="echoid-s800" xml:space="preserve">mà da vn grado ſino al fine non è più circolare. </s> <s xml:id="echoid-s801" xml:space="preserve">Que-<lb/>ſto Sig. </s> <s xml:id="echoid-s802" xml:space="preserve">Oſreddi è vn gran punto in queſta noſtra contro-<lb/>uerſia.</s> <s xml:id="echoid-s803" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s804" xml:space="preserve">Cont. </s> <s xml:id="echoid-s805" xml:space="preserve">Mà che occorre? </s> <s xml:id="echoid-s806" xml:space="preserve">L´accenna quì ſubito il Man-<lb/>fredi ſoggiungendo. </s> <s xml:id="echoid-s807" xml:space="preserve">_La prima fù l´applauſo delli Galibei,_ <lb/>_@ la grandiſſima probabilità con la quale il Galileo ſtimò, che_ <lb/>_foße, ò circolare ò proſſima ſommamente ad eſſa, che è quanto di-_ <lb/>_re ſenſibilmente, e fiſicamente circolare_.</s> <s xml:id="echoid-s808" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s809" xml:space="preserve">Matt. </s> <s xml:id="echoid-s810" xml:space="preserve">Con quanta probabilità ciò ſia detto dal Galileo, <lb/>e dal P. </s> <s xml:id="echoid-s811" xml:space="preserve">Riccioli, il quale pure lo dice, l´habbia mo dimoſtra-<lb/>to nel noſtro paſsato Dialogo 1. </s> <s xml:id="echoid-s812" xml:space="preserve">cart. </s> <s xml:id="echoid-s813" xml:space="preserve">19. </s> <s xml:id="echoid-s814" xml:space="preserve">mentre habbiamo <pb o="22" file="0034" n="34"/> fatto vedere, che vna linea, la quale, eſsendo la ſemita del <lb/>moto circonferenza, è parte 53. </s> <s xml:id="echoid-s815" xml:space="preserve">è ſecondo l´ofseruationi del <lb/>P. </s> <s xml:id="echoid-s816" xml:space="preserve">Riccioli 1 1596. </s> <s xml:id="echoid-s817" xml:space="preserve">in circa. </s> <s xml:id="echoid-s818" xml:space="preserve">Cioè quaſi 219. </s> <s xml:id="echoid-s819" xml:space="preserve">volte maggiore. <lb/></s> <s xml:id="echoid-s820" xml:space="preserve">E che tanto s´alluntanarebbe dalla circonferenza nel prin-<lb/>cipio del moto, quando il graue ſi foſse mofso all´ingiù 19. </s> <s xml:id="echoid-s821" xml:space="preserve"><lb/>ſoli piedi, li quali paſsa in vn fecondo horærio.</s> <s xml:id="echoid-s822" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s823" xml:space="preserve">Con. </s> <s xml:id="echoid-s824" xml:space="preserve">Dice poi, che l´altra cagione fù, che penetrò, che <lb/>foſse queſta linea di qual ſi ſia ſorte, _ciò non poteua diſt rug-_ <lb/>_gere nel Siſtema Copernicano l´vniformit à Fiſica del moto de_ <lb/>_graui cadents, repugnante alla difformità tanto not abile della_ <lb/>_percoßa._</s> <s xml:id="echoid-s825" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s826" xml:space="preserve">Matt. </s> <s xml:id="echoid-s827" xml:space="preserve">Mà noinon ſolo l´habbiamo ſaluata, mà moſtrato <lb/>nel Dial. </s> <s xml:id="echoid-s828" xml:space="preserve">2. </s> <s xml:id="echoid-s829" xml:space="preserve">che così di neceſſità doueria ſuccedere.</s> <s xml:id="echoid-s830" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s831" xml:space="preserve">_Con._ </s> <s xml:id="echoid-s832" xml:space="preserve">Per tanto s´ingegnò di confermare la probabilisà del <lb/>moto circolare, con aggiungere cià, che il Galileo ha<gap/> traſeu <lb/>rato, & </s> <s xml:id="echoid-s833" xml:space="preserve">c.</s> <s xml:id="echoid-s834" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s835" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s836" xml:space="preserve">S´ingegnò certo, mà paralogizò.</s> <s xml:id="echoid-s837" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s838" xml:space="preserve">Cont. </s> <s xml:id="echoid-s839" xml:space="preserve">Nelnumero 11. </s> <s xml:id="echoid-s840" xml:space="preserve">porta la ſua dimoſtratione come <lb/>s´ingegnaſſe di confirmare queſto, e dice molte coſe di nu-<lb/>meri aſtratti, e di parti determinate; </s> <s xml:id="echoid-s841" xml:space="preserve">e conclude nel fine. <lb/></s> <s xml:id="echoid-s842" xml:space="preserve">_Per tanto ſe il Dialogiſt a ſeruendoſi in alcuni termini dell´ au-_ <lb/>_rearegola del trè, di parti determinate di vna ſpetie, & </s> <s xml:id="echoid-s843" xml:space="preserve">in altrs_ <lb/>_di parti aſtratte ſenza la dett a relatione, hà trouctigli ſpatij_ <lb/>_FG, G T, &</s> <s xml:id="echoid-s844" xml:space="preserve">c. </s> <s xml:id="echoid-s845" xml:space="preserve">enormemente maggiori; </s> <s xml:id="echoid-s846" xml:space="preserve">è neceſſario conchiudere,_ <lb/>_che il Dialogiſt a ſi ſia ſerui@o di termini non trà ſe propertiona-_ <lb/>_li, nè intercetti frà gli archi debiti, ouero, che babbia sbagliat@_ <lb/>_nel ealcolo._</s> <s xml:id="echoid-s847" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s848" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s849" xml:space="preserve">Biſogna, che queſta riſpoſta contenga materia <lb/>molto ſottile.</s> <s xml:id="echoid-s850" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s851" xml:space="preserve">Cont. </s> <s xml:id="echoid-s852" xml:space="preserve">E perche?</s> <s xml:id="echoid-s853" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s854" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s855" xml:space="preserve">Perche io non n´intendo pur vna parola.</s> <s xml:id="echoid-s856" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s857" xml:space="preserve">Cont. </s> <s xml:id="echoid-s858" xml:space="preserve">Può elser, che non l´intenda nè anco il Manfredi.</s> <s xml:id="echoid-s859" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s860" xml:space="preserve">Matt. </s> <s xml:id="echoid-s861" xml:space="preserve">Io non credo già queſto. </s> <s xml:id="echoid-s862" xml:space="preserve">Anzi parendomi molto <lb/>intendente, e verſato nella Trigonomettia, mentre lo ſen-<lb/>to nominare Tauole, Seni, Chorde, Clauio, Magini, Pitiſco, <lb/>e coſe ſimili, vado penſando, che ſi prenda gioco dinoi, fin- <pb o="23" file="0035" n="35"/> gendo di non vedere il manifeſtiſſimo paralogiſmo, per far-<lb/>ciriſcaldare nel moſtrarglelo.</s> <s xml:id="echoid-s863" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s864" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s865" xml:space="preserve">Mà potrebbe anch´eſſere, che vedendolo, non lo <lb/>voleſſe confeſſare, per diffender oſtinatameme il P. </s> <s xml:id="echoid-s866" xml:space="preserve">Riccioli <lb/>alla dritta, ò ſtorta. </s> <s xml:id="echoid-s867" xml:space="preserve">Nel qual caſo potreſſimo ancor noi di-<lb/>re, non _Dio mi guardi dal prurito di contradire_, come dice <lb/>egli à carte 5. </s> <s xml:id="echoid-s868" xml:space="preserve">mà Dio mi guardi dal prurito di voler difen-<lb/>der gl´errori già facti.</s> <s xml:id="echoid-s869" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s870" xml:space="preserve">Matt. </s> <s xml:id="echoid-s871" xml:space="preserve">In queſto caſo hauereſſimo da deplorarc la noſtra´ <lb/>mala fortuna dinon hauer da fare con il medeſimo P. </s> <s xml:id="echoid-s872" xml:space="preserve">Ric-<lb/>cioli, il quale eſſendo, come teſtiſica il Manfredi à carte 2. <lb/></s> <s xml:id="echoid-s873" xml:space="preserve">_Più fidele amico della verità, che tenace della propria reputa-_ <lb/>_tione, & </s> <s xml:id="echoid-s874" xml:space="preserve">alieniſſimo dall´octinatione nelle proprie opinioni_, con-<lb/>feſſarebbe liberamente il proprio sbaglio.</s> <s xml:id="echoid-s875" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s876" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s877" xml:space="preserve">Non v´hà dubio. </s> <s xml:id="echoid-s878" xml:space="preserve">Tanto più, che è forſe perder <lb/>la riputatione il ſallare? </s> <s xml:id="echoid-s879" xml:space="preserve">Credo, che ſia bene perder la ri-<lb/>putatione il voler difender oſtinatamente li errori, mentre <lb/>il primo è debollezza di natura da noi inſeparabile, il ſecon-<lb/>do vitio deteſtabile.</s> <s xml:id="echoid-s880" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s881" xml:space="preserve">Matt. </s> <s xml:id="echoid-s882" xml:space="preserve">Eſſendo veriffimo, che anco _in moralibus, ſeptiei in_ <lb/>_die cadit inſtus_, io mai mi vergognarò diconfeſſare li miei <lb/>errori; </s> <s xml:id="echoid-s883" xml:space="preserve">E credo, che ſia ſuperbia Luciferina il pretender <lb/>di non errar mai, mentre _Non eſt home, qui non peccet._ </s> <s xml:id="echoid-s884" xml:space="preserve">Io hò <lb/>fallato molte volte; </s> <s xml:id="echoid-s885" xml:space="preserve">e credo, che chi è huomo falli. </s> <s xml:id="echoid-s886" xml:space="preserve">Nè <lb/>poſſo, che con gran ſtomachezza ramentarmi di quel sfa-<lb/>ciatiſſimo Elogio con il quale Macrobio adula Hippocrate, <lb/>& </s> <s xml:id="echoid-s887" xml:space="preserve">Aleſſandro Maſſaria Ariſtotile, e Galeno, cioè che _Nec_ <lb/>_falli, nec fallere poſſint_, mentre ſappiamo, che anch´ eſſi <lb/>hanno commeſſi manifeſti ſsimi errori.</s> <s xml:id="echoid-s888" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s889" xml:space="preserve">Cont. </s> <s xml:id="echoid-s890" xml:space="preserve">Horsù s´apparechi pure di praticare queſte dot-<lb/>trine, e confeſſare li ſuoi sbagli, mentre il Sig. </s> <s xml:id="echoid-s891" xml:space="preserve">Manfredi <lb/>nel numero 12. </s> <s xml:id="echoid-s892" xml:space="preserve">confeſſa hauer trouato il ſuario medeſimo in <lb/>quelli numeri, che hà trouato ancor lei; </s> <s xml:id="echoid-s893" xml:space="preserve">il quale però dice <lb/>non prouenire dal calcolo, mà, _Dalli Paralogiſmi, & </s> <s xml:id="echoid-s894" xml:space="preserve">is ba-_ <lb/>_gli del Matrematico Dialogiſta_.</s> <s xml:id="echoid-s895" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s896" xml:space="preserve">Matt. </s> <s xml:id="echoid-s897" xml:space="preserve">Chi di noi sbagli lo hà da giudicar il mondo, e li <pb o="24" file="0036" n="36"/> veri intendenti delle Mattematiche; </s> <s xml:id="echoid-s898" xml:space="preserve">non già certi petulan-<lb/>teli squaſcia coda, che per acquiſtarſi credito appreſſo li <lb/>merlotti vogliono diſcorrere, e dar giudicio di quelle coſe, <lb/>che non intendono. </s> <s xml:id="echoid-s899" xml:space="preserve">Io per me confeſſo liberamente, che ſe <lb/>erro, e paralogizo in queſto particolare, non hò mai inteſo <lb/>li primi primiſſimi principij della Geometria. </s> <s xml:id="echoid-s900" xml:space="preserve">Mà Sig. </s> <s xml:id="echoid-s901" xml:space="preserve">Man-<lb/>fredimio, acciŏ che yoi, con tutti gl´altri habbiate inanzi gl´-<lb/>occhi vno ſpecchio, nel quale mirando, potiate ſpecchiarui; <lb/></s> <s xml:id="echoid-s902" xml:space="preserve">ſono neceſſitato dar queſto guadagno alli ſtampatori, cioè <lb/>traſcriuer l´Argomento del P, Riccioli. </s> <s xml:id="echoid-s903" xml:space="preserve">Queſti adunque <lb/>nel cit. </s> <s xml:id="echoid-s904" xml:space="preserve">cap. </s> <s xml:id="echoid-s905" xml:space="preserve">19. </s> <s xml:id="echoid-s906" xml:space="preserve">nell´Argomento primo dice così.</s> <s xml:id="echoid-s907" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s908" xml:space="preserve">Multacorpora græuia dimiſſa per aerem in plano Æquatoris <lb/>exiſtentem, deſcenderent ad terram, cum velocitatis incremen-<lb/>toreali, ac notabili, & </s> <s xml:id="echoid-s909" xml:space="preserve">non tantum apparenti. </s> <s xml:id="echoid-s910" xml:space="preserve">Sed ſi Tellus mo-<lb/>uerctur motu diurno tantum circa ſui centrum, nulla corpora <lb/>grauia dimiſia per aerem in pleno Æquatoris exiſtentem de-<lb/> <anchor type="figure" xlink:label="fig-0036-01a" xlink:href="fig-0036-01"/> <pb o="25" file="0037" n="37"/> ſcenderent adterram cum velocitatis incſemento reali, ac no-<lb/>tabili, ſed tantum cum apparenti. </s> <s xml:id="echoid-s911" xml:space="preserve">Ergo Tellus aut non moue-<lb/>tur, aut non monetur diurnotantum motu.</s> <s xml:id="echoid-s912" xml:space="preserve"/> </p> <div xml:id="echoid-div7" type="float" level="2" n="1"> <figure xlink:label="fig-0036-01" xlink:href="fig-0036-01a"> <image file="0036-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0036-01"/> </figure> </div> <p> <s xml:id="echoid-s913" xml:space="preserve">Proua la maggiore dell´Argomento, nella quale non vi <lb/>eſſe ndo diſſicoltà, paſſiamo alla minore, nella quale, come <lb/>bene dice il P Riccioli, _tota difficultas verſatur_.</s> <s xml:id="echoid-s914" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s915" xml:space="preserve">Sit itaque, <emph style="it">dice egli</emph>, ex Telluris centro A, deſcriptus ar-<lb/>cus C D, & </s> <s xml:id="echoid-s916" xml:space="preserve">B M, prior tranſiens per turris B C, verticem C, <lb/>poſterior verò per turris pedem B, in plano Æquatoris exi-<lb/>ſtentis: </s> <s xml:id="echoid-s917" xml:space="preserve">ſecta verò Terræ ſemidiametro A C, bifariam in E, <lb/>deſcribatur alius arcus ex C, verſus eandem Orient alem pla-<lb/>gam M, qui ſit aut ſemicirculus C I A, aut ſaltem eius portio <lb/>tanta, ut lineæ rectæ ducendæ ex A, ad arcum C D, cadant in <lb/>illum, aut etiam illum ſecent. </s> <s xml:id="echoid-s918" xml:space="preserve">Quoniam verò ſupponitur tur-<lb/>ris BC, ad motum ſolius diurnæ vertiginis moueri verſus D M, <lb/>æqualiter, idest deſcribendo ſuo vertice ſuoque pede arcus æqua-<lb/>les in eadem circumferentia, temporibus æqualibus; </s> <s xml:id="echoid-s919" xml:space="preserve">diuida-<lb/>tur arcus C D, in arcus æquales quotcumque reſpondentes tempo-<lb/>ribus æqualibus prædictis, puta in arcus C F, F G, G H, H L, <lb/>L D; </s> <s xml:id="echoid-s920" xml:space="preserve">& </s> <s xml:id="echoid-s921" xml:space="preserve">ad puncta diuiſionum ducantur ex terræ centro A, re-<lb/>ctæ lineæ A F, A G, A H, A L, A D. </s> <s xml:id="echoid-s922" xml:space="preserve">Ac tandem ducatur ex <lb/>centro E, minoris peripheriæ, rectalinea ad punctum aliquod <lb/>communis ſectionis peripheriæ C I A, cum aliqua prædictarum <lb/>rectarum, puta ad punctum 1. </s> <s xml:id="echoid-s923" xml:space="preserve">His deſignatis. </s> <s xml:id="echoid-s924" xml:space="preserve">Primo dico.</s> <s xml:id="echoid-s925" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s926" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s927" xml:space="preserve">Mi perdoni in gratia, Chi è queſto che parla, il <lb/>P. </s> <s xml:id="echoid-s928" xml:space="preserve">Riccioli, ò il Galileo?</s> <s xml:id="echoid-s929" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s930" xml:space="preserve">_Matt. </s> <s xml:id="echoid-s931" xml:space="preserve">Il P. </s> <s xml:id="echoid-s932" xml:space="preserve">Riccioli_. </s> <s xml:id="echoid-s933" xml:space="preserve">Si Tellus moueretur ſolo diurno motu <lb/>aliquod graue dimiſſum ex turris vertice C, in plano Æquatoris <lb/>exiſtentis, deſcripturum ſuo motu naturali portionem lineæ <lb/>CTI, quæ eſſet ad omnem ſenſum circularis, ſeu portio periphe-<lb/>riæ circularis. </s> <s xml:id="echoid-s934" xml:space="preserve">Quod ſit oſtendo.</s> <s xml:id="echoid-s935" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s936" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s937" xml:space="preserve">Equeſto chi è che dimoſtra?</s> <s xml:id="echoid-s938" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s939" xml:space="preserve">_Matt. </s> <s xml:id="echoid-s940" xml:space="preserve">Il P. </s> <s xml:id="echoid-s941" xml:space="preserve">Riccioli_. </s> <s xml:id="echoid-s942" xml:space="preserve">Globus argillaceus dimiſſus à nobis ex <lb/>verticeturris C, deſcendit ad terram 4. </s> <s xml:id="echoid-s943" xml:space="preserve">ſecundis horarijs, & </s> <s xml:id="echoid-s944" xml:space="preserve"><lb/>ita vt in ſine primi ſecundi pertranſierit pedes 15. </s> <s xml:id="echoid-s945" xml:space="preserve">Romanos an-<lb/>tiquos, in ſine ſecundipedes 60. </s> <s xml:id="echoid-s946" xml:space="preserve">in ſine tertij pedes 135. </s> <s xml:id="echoid-s947" xml:space="preserve">in ſine <pb o="26" file="0038" n="38"/> quartipedes 240. </s> <s xml:id="echoid-s948" xml:space="preserve">Ergo per Axioma præmiſſum idem in Æqua-<lb/>torefaceret; </s> <s xml:id="echoid-s949" xml:space="preserve">ſeruata autem eadem propor tione numerorum qua-<lb/>dratorum deſcriberet illo tempore lineam ad omnem ſubtilita-<lb/>tem ſenſus circularem, ſpatia enim quatuor ſecundis confecta, <lb/>nempe F S, G T, H V, & </s> <s xml:id="echoid-s950" xml:space="preserve">L X, eſſent tanta, quanta eſſe opor-<lb/>teret, ſi linea C S T V X, per eorum extrema ducta debet eſſe <lb/>circularis, & </s> <s xml:id="echoid-s951" xml:space="preserve">viciſſim ſi ducatur linea circularis C S T V X, ex <lb/>centro E, & </s> <s xml:id="echoid-s952" xml:space="preserve">inueſtigetur quantitas ſpatiorum F S, G T, H V, L X, <lb/>inuenitur F S, vt 1 G T, vt 4 H V, vt 9. </s> <s xml:id="echoid-s953" xml:space="preserve">& </s> <s xml:id="echoid-s954" xml:space="preserve">L X, vt 16. </s> <s xml:id="echoid-s955" xml:space="preserve">quæ eſt <lb/>proportio quadratorum ab vnitate initorum; </s> <s xml:id="echoid-s956" xml:space="preserve">vel ſi primum <lb/>ſpatium F S, ſumatur vt 15. </s> <s xml:id="echoid-s957" xml:space="preserve">pedum, inuenietur G T, pedum 60. <lb/></s> <s xml:id="echoid-s958" xml:space="preserve">& </s> <s xml:id="echoid-s959" xml:space="preserve">H V, pedum 135 & </s> <s xml:id="echoid-s960" xml:space="preserve">L X, pedum 240.</s> <s xml:id="echoid-s961" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s962" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s963" xml:space="preserve">In gratia facia vn poco di pauſa, elaſci che io mi <lb/>proui ſe hò bene inteſo. </s> <s xml:id="echoid-s964" xml:space="preserve">Parmi, che volendo il P. </s> <s xml:id="echoid-s965" xml:space="preserve">Riccioli <lb/>prouare, che il graue naturalmente diſcendente deſcriui <lb/>vna linea circolare, conſiderile quatro linee F S, G T, H V, <lb/>L X. </s> <s xml:id="echoid-s966" xml:space="preserve">ele ſupponga dalle ſue eſperienze 15. </s> <s xml:id="echoid-s967" xml:space="preserve">60. </s> <s xml:id="echoid-s968" xml:space="preserve">135. </s> <s xml:id="echoid-s969" xml:space="preserve">e 240. <lb/></s> <s xml:id="echoid-s970" xml:space="preserve">piedi, ſpatij paſſati dal graue in 1. </s> <s xml:id="echoid-s971" xml:space="preserve">2. </s> <s xml:id="echoid-s972" xml:space="preserve">3. </s> <s xml:id="echoid-s973" xml:space="preserve">4. </s> <s xml:id="echoid-s974" xml:space="preserve">ſecondi horarij, <lb/>li quali ſono apunto tanti, quanti è neceſſario, acciò, che la <lb/>linea C S T V X, che paſſa per le loro eſtremità ſia circolare. </s> <s xml:id="echoid-s975" xml:space="preserve"><lb/>E _vice uerſa_, ſe ſi ſupponerà la C S T V X, circolare, e ſi ricer-<lb/>chino le F S, G T, H V, L X, queſte ſaranno 1. </s> <s xml:id="echoid-s976" xml:space="preserve">4. </s> <s xml:id="echoid-s977" xml:space="preserve">9. </s> <s xml:id="echoid-s978" xml:space="preserve">16 che han-<lb/>no la proportione delli quadrati delli tempi, cioè di 1. </s> <s xml:id="echoid-s979" xml:space="preserve">2. </s> <s xml:id="echoid-s980" xml:space="preserve">3. </s> <s xml:id="echoid-s981" xml:space="preserve">4. </s> <s xml:id="echoid-s982" xml:space="preserve"><lb/>ſecondi horari. </s> <s xml:id="echoid-s983" xml:space="preserve">Onde pigliando F S, come è, di piedi 15. </s> <s xml:id="echoid-s984" xml:space="preserve"><lb/>G T, ſarà 60. </s> <s xml:id="echoid-s985" xml:space="preserve">H V, 135 L X, 240.</s> <s xml:id="echoid-s986" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s987" xml:space="preserve">Cont. </s> <s xml:id="echoid-s988" xml:space="preserve">Siamo vniformi nell´intendere, nè credo poſſi eſ-<lb/>ſer inteſo altrimenti da huomo alcuno, mentre che così, c <lb/>non altrimente egli diſcorre.</s> <s xml:id="echoid-s989" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s990" xml:space="preserve">Matt. </s> <s xml:id="echoid-s991" xml:space="preserve">Etio intendo come loro Signori. </s> <s xml:id="echoid-s992" xml:space="preserve">Hora camina <lb/>inanti il P. </s> <s xml:id="echoid-s993" xml:space="preserve">Riccioli, e di quelli ſpatij F S, G T, H V, L X, li <lb/>quali sà dalle ſue eſperienze eſſer quel numero di piedi ſo-<lb/>pradetti, per l´eſtremità delli quali paſſa il ſuo ſuppoſto arco <lb/>C S T V X, vuole inueſtigare quante di quelle parti conten-<lb/>ghino, delle quali C A, ouero A F, &</s> <s xml:id="echoid-s994" xml:space="preserve">c. </s> <s xml:id="echoid-s995" xml:space="preserve">è 20, 000, 000, 000, <lb/>e diſcorre così.</s> <s xml:id="echoid-s996" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s997" xml:space="preserve">Quoniam vno ſecundo borario punctum terreſtris æquateris <pb o="27" file="0039" n="39"/> <anchor type="figure" xlink:label="fig-0039-01a" xlink:href="fig-0039-01"/> vi diurnæ vertiginis percurrit arcum C F 15. </s> <s xml:id="echoid-s998" xml:space="preserve">ſecundorum, & </s> <s xml:id="echoid-s999" xml:space="preserve"><lb/>buic æquales ſunt arcus F G, G H, H L, ſingillatim; </s> <s xml:id="echoid-s1000" xml:space="preserve">arcus au-<lb/>tem C S, vtpote deſcriptus ex E, bifariam ſecante A C, & </s> <s xml:id="echoid-s1001" xml:space="preserve"><lb/>interceptus ijſdem lineis A C, A F, eſt duplo plurium ſecundo-<lb/>rum, vt oſtendimus cap. </s> <s xml:id="echoid-s1002" xml:space="preserve">17. </s> <s xml:id="echoid-s1003" xml:space="preserve">num. </s> <s xml:id="echoid-s1004" xml:space="preserve">8. </s> <s xml:id="echoid-s1005" xml:space="preserve">Idcirco arcus C S, erit ſecun-<lb/>dorum 30. </s> <s xml:id="echoid-s1006" xml:space="preserve">Et cum arcus C G, ſit ſecundorum 30. </s> <s xml:id="echoid-s1007" xml:space="preserve">erit ob eandene <lb/>rationem arcus C T, ſecundorum 60. </s> <s xml:id="echoid-s1008" xml:space="preserve">ſeu vnius minuti; </s> <s xml:id="echoid-s1009" xml:space="preserve">cum-<lb/>que arcus C H, ſit ſecundorum 45. </s> <s xml:id="echoid-s1010" xml:space="preserve">erit arcus C V, ſecundorum <lb/>90. </s> <s xml:id="echoid-s1011" xml:space="preserve">ideſt vnius minuti, & </s> <s xml:id="echoid-s1012" xml:space="preserve">ſecundorum 30. </s> <s xml:id="echoid-s1013" xml:space="preserve">tandem cum arcus <lb/>C L, ſit vnius minuti, erit C X, minutorum 2. </s> <s xml:id="echoid-s1014" xml:space="preserve">Erunt ergo com-<lb/>plementa A I S, Grad. </s> <s xml:id="echoid-s1015" xml:space="preserve">179. </s> <s xml:id="echoid-s1016" xml:space="preserve">59. </s> <s xml:id="echoid-s1017" xml:space="preserve">30. </s> <s xml:id="echoid-s1018" xml:space="preserve">& </s> <s xml:id="echoid-s1019" xml:space="preserve">A I T, Gr. </s> <s xml:id="echoid-s1020" xml:space="preserve">179. </s> <s xml:id="echoid-s1021" xml:space="preserve">59. </s> <s xml:id="echoid-s1022" xml:space="preserve">0. <lb/></s> <s xml:id="echoid-s1023" xml:space="preserve">& </s> <s xml:id="echoid-s1024" xml:space="preserve">A I V, Gr. </s> <s xml:id="echoid-s1025" xml:space="preserve">179. </s> <s xml:id="echoid-s1026" xml:space="preserve">58. </s> <s xml:id="echoid-s1027" xml:space="preserve">30. </s> <s xml:id="echoid-s1028" xml:space="preserve">& </s> <s xml:id="echoid-s1029" xml:space="preserve">A I X, Gr. </s> <s xml:id="echoid-s1030" xml:space="preserve">179. </s> <s xml:id="echoid-s1031" xml:space="preserve">58. </s> <s xml:id="echoid-s1032" xml:space="preserve">0. </s> <s xml:id="echoid-s1033" xml:space="preserve">Horum verò <lb/>chordæ ordinatim ſumptæ ex ſinibus duplicatis, erunt A S, par-<lb/>tium 19999999947. </s> <s xml:id="echoid-s1034" xml:space="preserve">quarum diameter, ſeu chordæ maxima eſt <lb/>20, 000, 000, 000. </s> <s xml:id="echoid-s1035" xml:space="preserve">& </s> <s xml:id="echoid-s1036" xml:space="preserve">chorda A T, talium partium <lb/>19999999524. </s> <s xml:id="echoid-s1037" xml:space="preserve">& </s> <s xml:id="echoid-s1038" xml:space="preserve">chorda A X, 19999999154. </s> <s xml:id="echoid-s1039" xml:space="preserve">quæ chordæ ſi <pb o="28" file="0040" n="40"/> ſubducantur ex chorda maxima A C, cui æquantur radij AF´ <lb/>A G, A H, A L, relinquentur ſpatia F S, partium 53. </s> <s xml:id="echoid-s1040" xml:space="preserve">G T 212´ <lb/>H V 476. </s> <s xml:id="echoid-s1041" xml:space="preserve">L X 846. </s> <s xml:id="echoid-s1042" xml:space="preserve">At proportio inter hæc eſt omnino qualis <lb/>inter quadrata 1. </s> <s xml:id="echoid-s1043" xml:space="preserve">4. </s> <s xml:id="echoid-s1044" xml:space="preserve">9. </s> <s xml:id="echoid-s1045" xml:space="preserve">16. </s> <s xml:id="echoid-s1046" xml:space="preserve">nam ſi fiat vt primum ſpatium <lb/>F S 1. </s> <s xml:id="echoid-s1047" xml:space="preserve">ad 4 ita 53. </s> <s xml:id="echoid-s1048" xml:space="preserve">ad aliud, prodibit GT, partium 212. </s> <s xml:id="echoid-s1049" xml:space="preserve">rurſus <lb/>ſi fiat vt F S, 1. </s> <s xml:id="echoid-s1050" xml:space="preserve">ad 9. </s> <s xml:id="echoid-s1051" xml:space="preserve">ita 53. </s> <s xml:id="echoid-s1052" xml:space="preserve">ad aliud, prodibit H V, partium <lb/>476. </s> <s xml:id="echoid-s1053" xml:space="preserve">ac tandem ſi fiat vt FS, 1. </s> <s xml:id="echoid-s1054" xml:space="preserve">ad 16. </s> <s xml:id="echoid-s1055" xml:space="preserve">ita 53. </s> <s xml:id="echoid-s1056" xml:space="preserve">ad aliud, prodibit <lb/>LX, partium 846. </s> <s xml:id="echoid-s1057" xml:space="preserve">Ergo ſi deſeribatur continuè per extrema li-<lb/>nearum à globo illo confectorum curua linea, ſeruata in ſpatijs <lb/>proportione quadratorum, erit illa lineæ circularis: </s> <s xml:id="echoid-s1058" xml:space="preserve">ac viciſſim <lb/>ſi circularis ſit, ſpatia illa ſeu ſegment a inter lineam illam cir-<lb/>cularem & </s> <s xml:id="echoid-s1059" xml:space="preserve">arcum C D, interceptæ habebunt prædictam pro-<lb/>portionem.</s> <s xml:id="echoid-s1060" xml:space="preserve"/> </p> <div xml:id="echoid-div8" type="float" level="2" n="2"> <figure xlink:label="fig-0039-01" xlink:href="fig-0039-01a"> <image file="0039-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0039-01"/> </figure> </div> <p> <s xml:id="echoid-s1061" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1062" xml:space="preserve">Se adunque io bene intendo, ſe F S, G T, H V, L X, <lb/>ſono 15. </s> <s xml:id="echoid-s1063" xml:space="preserve">60. </s> <s xml:id="echoid-s1064" xml:space="preserve">135. </s> <s xml:id="echoid-s1065" xml:space="preserve">240. </s> <s xml:id="echoid-s1066" xml:space="preserve">piedi, C S T V X, è arco di cerchio; </s> <s xml:id="echoid-s1067" xml:space="preserve">e <lb/>ſe F S, è 53. </s> <s xml:id="echoid-s1068" xml:space="preserve">G T, 212. </s> <s xml:id="echoid-s1069" xml:space="preserve">H V, 476. </s> <s xml:id="echoid-s1070" xml:space="preserve">L X. </s> <s xml:id="echoid-s1071" xml:space="preserve">846. </s> <s xml:id="echoid-s1072" xml:space="preserve">di quelle parti, delle <lb/>quæli CA, ouero TA, è 20. </s> <s xml:id="echoid-s1073" xml:space="preserve">000, 000, 000. </s> <s xml:id="echoid-s1074" xml:space="preserve">C S T V X, è arco <lb/>dicerchio.</s> <s xml:id="echoid-s1075" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1076" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1077" xml:space="preserve">Così dice egli tanto chiaramente, che non mi pa-<lb/>re più chiara la luce di mezo giorno. </s> <s xml:id="echoid-s1078" xml:space="preserve">Adunque ſecondo il <lb/>P. </s> <s xml:id="echoid-s1079" xml:space="preserve">Riccioli, acciò che F S T V X, ſia circolare, biſogna che F S, <lb/>ſia piedi 15. </s> <s xml:id="echoid-s1080" xml:space="preserve">e parti 53. </s> <s xml:id="echoid-s1081" xml:space="preserve">di quelle, che F A, è 20, 000, 000, 000. <lb/></s> <s xml:id="echoid-s1082" xml:space="preserve">G T, piedi 60 e 212. </s> <s xml:id="echoid-s1083" xml:space="preserve">di quelle parti. </s> <s xml:id="echoid-s1084" xml:space="preserve">H V, piedi 135 e 470. </s> <s xml:id="echoid-s1085" xml:space="preserve">di <lb/>dette parti. </s> <s xml:id="echoid-s1086" xml:space="preserve">E ſinalmente L X, piedi 240. </s> <s xml:id="echoid-s1087" xml:space="preserve">e 846. </s> <s xml:id="echoid-s1088" xml:space="preserve">di quel-<lb/>le.</s> <s xml:id="echoid-s1089" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1090" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1091" xml:space="preserve">E´ coſa manifeſtiſſima. </s> <s xml:id="echoid-s1092" xml:space="preserve">Hora hà altro da leggere <lb/>del P. </s> <s xml:id="echoid-s1093" xml:space="preserve">Riccioli?</s> <s xml:id="echoid-s1094" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s1095" xml:space="preserve">_Matt. </s> <s xml:id="echoid-s1096" xml:space="preserve">Viſono ancora alcune parole._ </s> <s xml:id="echoid-s1097" xml:space="preserve">Cum igitur graue <lb/>illud per vnicam lineam, ac viam incedat, nec aliam ab ea, quam <lb/>extrema ſpatiorum confectorum deſcribunt, erit illa circula-<lb/>ris, & </s> <s xml:id="echoid-s1098" xml:space="preserve">idem eueniet ſi tempus deſcenſus non excedat 4. </s> <s xml:id="echoid-s1099" xml:space="preserve">mi-<lb/>nuta temporis, atque adeo ſi arcus totus C L, non excedat vnum <lb/>gradum, vt examinanti chordas, & </s> <s xml:id="echoid-s1100" xml:space="preserve">complementa chordarum <lb/>ad chordam maximam patebit.</s> <s xml:id="echoid-s1101" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1102" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1103" xml:space="preserve">Hora intendo come ſi ſaluano li due aſſerti del P. <lb/></s> <s xml:id="echoid-s1104" xml:space="preserve">Riccioli, li quali paiono contradittorij; </s> <s xml:id="echoid-s1105" xml:space="preserve">cioè come il graue <pb o="29" file="0041" n="41"/> <anchor type="figure" xlink:label="fig-0041-01a" xlink:href="fig-0041-01"/> deſcriua con il ſuo moto la circonferenza, e cada dentro di <lb/>eſſa. </s> <s xml:id="echoid-s1106" xml:space="preserve">Deſcriue la circonferenza, ſino che ſi muoue non ſolo <lb/>per li 4. </s> <s xml:id="echoid-s1107" xml:space="preserve">ſecondi horarij, mà per 4. </s> <s xml:id="echoid-s1108" xml:space="preserve">minuti, alli quali corriſ-<lb/>ponde vn grado di Equatore. </s> <s xml:id="echoid-s1109" xml:space="preserve">ſi ſcoſta poi da eſſa ſempre <lb/>più, accoſtandoſi al diametro C A.</s> <s xml:id="echoid-s1110" xml:space="preserve"/> </p> <div xml:id="echoid-div9" type="float" level="2" n="3"> <figure xlink:label="fig-0041-01" xlink:href="fig-0041-01a"> <image file="0041-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0041-01"/> </figure> </div> <p> <s xml:id="echoid-s1111" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1112" xml:space="preserve">Così dice il P. </s> <s xml:id="echoid-s1113" xml:space="preserve">Riccioli, perche eſſaminando F S, <lb/>G T, &</s> <s xml:id="echoid-s1114" xml:space="preserve">c. </s> <s xml:id="echoid-s1115" xml:space="preserve">intercette ſino al CD, ſuppoſto arco di vn grado <lb/>di Equatore, ritroua che hanno frà ſe la proportione delli <lb/>quadrati delli tempi; </s> <s xml:id="echoid-s1116" xml:space="preserve">mà da vn grado in sù, non ſeruano <lb/>più la medeſima proportione, come egli regiſtra nellà Ta-<lb/>uola poſta nel cap. </s> <s xml:id="echoid-s1117" xml:space="preserve">17.</s> <s xml:id="echoid-s1118" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1119" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1120" xml:space="preserve">Se queſto è vero, io interrogarei il Sig. </s> <s xml:id="echoid-s1121" xml:space="preserve">Manfredi. <lb/></s> <s xml:id="echoid-s1122" xml:space="preserve">ſtima V. </s> <s xml:id="echoid-s1123" xml:space="preserve">S. </s> <s xml:id="echoid-s1124" xml:space="preserve">che in verità nel principlo del moto il graue de-<lb/>ſcriua la circonferenza CSTVX, per eſſempio, nelli primi 4, <lb/>ſecondi horarij?</s> <s xml:id="echoid-s1125" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1126" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1127" xml:space="preserve">Supponga lei, che riſponda affirmatiuamente, non <pb o="30" file="0042" n="42"/> ſolo per queſta dottrina del P. </s> <s xml:id="echoid-s1128" xml:space="preserve">Riccioli, con la quale procu-<lb/>ra di dimoſtrarlo, ma anco perche egli medeſimo dice, nel <lb/>fine del numero 18. </s> <s xml:id="echoid-s1129" xml:space="preserve">facciate 24. </s> <s xml:id="echoid-s1130" xml:space="preserve">e 25. </s> <s xml:id="echoid-s1131" xml:space="preserve">_Perche in eſſo_ (cioè nel <lb/>ſiſtema Copernicano) _ilgraue non diſcenderebbe per eſſi, mæ_ <lb/>_per vna linea curua deſcritta per litermini F V X, la quale ſe_ <lb/>_bene in rigore Mattematico non è neceſſario, che ſia circolare_ <lb/>_non può però ſul principio del moto, e ne´ primi 4. </s> <s xml:id="echoid-s1132" xml:space="preserve">ſecondi hora-_ <lb/>_rij eſſer molto diuerſa dalcircolare, &</s> <s xml:id="echoid-s1133" xml:space="preserve">c_.</s> <s xml:id="echoid-s1134" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1135" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1136" xml:space="preserve">Adunque dico io; </s> <s xml:id="echoid-s1137" xml:space="preserve">il ſuo argomento Sig. </s> <s xml:id="echoid-s1138" xml:space="preserve">Manfre-<lb/>dinonè _ad hominem_ contro il Galileo, mà contro tutti, men-<lb/>tre hauete prouato, che in realtà deſcriue almeno proſſima-<lb/>mente portione della circonferenza, per la quale ſtimate ſi <lb/>debba muouer con moto equabile; </s> <s xml:id="echoid-s1139" xml:space="preserve">& </s> <s xml:id="echoid-s1140" xml:space="preserve">in conſequenza non <lb/>douer fare diuerſità di percoſſa.</s> <s xml:id="echoid-s1141" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1142" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1143" xml:space="preserve">Parmi che lei d ſcorra bene. </s> <s xml:id="echoid-s1144" xml:space="preserve">Mà credo che per ar-<lb/>gomento _ad hominem_ intenda da vna dottrina del Galileo, <lb/>la quale però è vera, dedurre queſto aſſurdo. </s> <s xml:id="echoid-s1145" xml:space="preserve">Queſto però <lb/>poco importa; </s> <s xml:id="echoid-s1146" xml:space="preserve">mà quì batte il punto. </s> <s xml:id="echoid-s1147" xml:space="preserve">Io vorrei poter diſ-<lb/>correre con il Sig. </s> <s xml:id="echoid-s1148" xml:space="preserve">Manfredi, e pregarlo, che ſi degnaſſe riſ-<lb/>pondere ad alcune mie interrogationi. </s> <s xml:id="echoid-s1149" xml:space="preserve">Mà in ſua mancan-<lb/>za faci gratia Sig. </s> <s xml:id="echoid-s1150" xml:space="preserve">Ofred di di riſpondermi lei ſecondo la ſua <lb/>mente.</s> <s xml:id="echoid-s1151" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1152" xml:space="preserve">Nelli primi 4. </s> <s xml:id="echoid-s1153" xml:space="preserve">ſecondi horarij non deſcriue il mobile l´-<lb/>arco CTX?</s> <s xml:id="echoid-s1154" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1155" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1156" xml:space="preserve">Cosi dicono egli, & </s> <s xml:id="echoid-s1157" xml:space="preserve">il P. </s> <s xml:id="echoid-s1158" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s1159" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1160" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1161" xml:space="preserve">F S, ſpatio paſſato in 1. </s> <s xml:id="echoid-s1162" xml:space="preserve">ſecondo horario non è 53. <lb/></s> <s xml:id="echoid-s1163" xml:space="preserve">di quelle parti, delle quali F A, è 20,000,000,000?</s> <s xml:id="echoid-s1164" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1165" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1166" xml:space="preserve">Queſta è dottrina profumata del P. </s> <s xml:id="echoid-s1167" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s1168" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1169" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1170" xml:space="preserve">La medeſima FS, non è piedi 15.</s> <s xml:id="echoid-s1171" xml:space="preserve">?</s> </p> <p> <s xml:id="echoid-s1172" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1173" xml:space="preserve">E queſta pure è quella dottrina del P. </s> <s xml:id="echoid-s1174" xml:space="preserve">Riccioli, <lb/>che gli coſta la fatica di tante eſperienze.</s> <s xml:id="echoid-s1175" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1176" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1177" xml:space="preserve">Hora ſe voleſſimo ſapere quanti piedi contiene la <lb/>FA, crede lei, che dalle coſe date lo potreſſimo inueſti-<lb/>gare?</s> <s xml:id="echoid-s1178" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1179" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1180" xml:space="preserve">O´Dio buono ſe lo poteſſimo ſapere. </s> <s xml:id="echoid-s1181" xml:space="preserve">Già hab-<lb/>biamo date trè quantità, cioè FS, come 53. </s> <s xml:id="echoid-s1182" xml:space="preserve">parti. </s> <s xml:id="echoid-s1183" xml:space="preserve">FA, co- <pb o="31" file="0043" n="43"/> me 20,000,000,000. </s> <s xml:id="echoid-s1184" xml:space="preserve">e FS, come piedi 15. </s> <s xml:id="echoid-s1185" xml:space="preserve">Hora adopran-<lb/>do la regola del trè, e dicendo, ſe FS, come 53. </s> <s xml:id="echoid-s1186" xml:space="preserve">mi di FA, <lb/>20,000,000,000. </s> <s xml:id="echoid-s1187" xml:space="preserve">FS, come 15. </s> <s xml:id="echoid-s1188" xml:space="preserve">piedi, di quanti piedi mi <lb/>darà la medeſima FA. </s> <s xml:id="echoid-s1189" xml:space="preserve">moltiplicando adunque il ſecondo <lb/>per il terzo, e partendolo per il p@imohaueremo il quar-<lb/>to.</s> <s xml:id="echoid-s1190" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1191" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1192" xml:space="preserve">Faci poi lei l´operatione.</s> <s xml:id="echoid-s1193" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1194" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1195" xml:space="preserve">Hor hora la ſeruo. </s> <s xml:id="echoid-s1196" xml:space="preserve">Se non erro, è qualche coſa <lb/>di più di piedi 5,660,377,358.</s> <s xml:id="echoid-s1197" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1198" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1199" xml:space="preserve">E pure ſecondo la dottrina del P. </s> <s xml:id="echoid-s1200" xml:space="preserve">Riccioli nel lib. <lb/></s> <s xml:id="echoid-s1201" xml:space="preserve">2. </s> <s xml:id="echoid-s1202" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s1203" xml:space="preserve">cap. </s> <s xml:id="echoid-s1204" xml:space="preserve">17. </s> <s xml:id="echoid-s1205" xml:space="preserve">FA, non è più di piedi 25,870,240.</s> <s xml:id="echoid-s1206" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1207" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1208" xml:space="preserve">Da che naſce adunque tanta differenza?</s> <s xml:id="echoid-s1209" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1210" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1211" xml:space="preserve">Naſce dalla falſità delli aſſerti del P. </s> <s xml:id="echoid-s1212" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s1213" xml:space="preserve">Mà <lb/>Signor Ofreddi diſcorriamola in vn´altro modo. </s> <s xml:id="echoid-s1214" xml:space="preserve">Dice il P. <lb/></s> <s xml:id="echoid-s1215" xml:space="preserve">Riccioli che eſſendo CTX, arco di circolo, FS, è 53. </s> <s xml:id="echoid-s1216" xml:space="preserve">di quel-<lb/>le parti, delle quali FA, è 20,000,000,000. </s> <s xml:id="echoid-s1217" xml:space="preserve">e che FS, è pari-<lb/>mente 15. </s> <s xml:id="echoid-s1218" xml:space="preserve">piedi. </s> <s xml:id="echoid-s1219" xml:space="preserve">Io dico, che non è nè anco vn quarto decimo <lb/>di vn piede. </s> <s xml:id="echoid-s1220" xml:space="preserve">Perche deducédo dal cit. </s> <s xml:id="echoid-s1221" xml:space="preserve">lib. </s> <s xml:id="echoid-s1222" xml:space="preserve">2. </s> <s xml:id="echoid-s1223" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s1224" xml:space="preserve">cap. </s> <s xml:id="echoid-s1225" xml:space="preserve"><lb/>17. </s> <s xml:id="echoid-s1226" xml:space="preserve">l´F A, in piedi, ſarà piedi 25,870,240. </s> <s xml:id="echoid-s1227" xml:space="preserve">ſe adunque FA, <lb/>come 20,000,000,000. </s> <s xml:id="echoid-s1228" xml:space="preserve">mi dà FS, 53. </s> <s xml:id="echoid-s1229" xml:space="preserve">FA, come 25. </s> <s xml:id="echoid-s1230" xml:space="preserve">870, <lb/>240. </s> <s xml:id="echoid-s1231" xml:space="preserve">coſa mi darà ella? </s> <s xml:id="echoid-s1232" xml:space="preserve">Fatti li debiti calcoli la troueranno <lb/>meno di vn quarto decimo di vn piede.</s> <s xml:id="echoid-s1233" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1234" xml:space="preserve">Mà Signor Ofreddi mio, non dicono il P. </s> <s xml:id="echoid-s1235" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s1236" xml:space="preserve">il Sig. <lb/></s> <s xml:id="echoid-s1237" xml:space="preserve">Manfredi, che la ſemità del moto ſarebbe in vn minuto di <lb/>tempo, e principalmente nelli primi 4. </s> <s xml:id="echoid-s1238" xml:space="preserve">ſecondi horarij l´-<lb/>arco CTX?</s> <s xml:id="echoid-s1239" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1240" xml:space="preserve">Ofred, Non dicono nè anco altro che queſto.</s> <s xml:id="echoid-s1241" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1242" xml:space="preserve">Mart. </s> <s xml:id="echoid-s1243" xml:space="preserve">Io torno à dire quel tanto, che hò detto nelli primi <lb/>diſcorſi noſtri, che haueſſimo già qualche meſe ſopra ciò, <lb/>che ſarebbc diuerſiſiſſima; </s> <s xml:id="echoid-s1244" xml:space="preserve">e dinuouo Sig. </s> <s xml:id="echoid-s1245" xml:space="preserve">Ofreddi, quaſi <lb/>lei foſſe il Sig. </s> <s xml:id="echoid-s1246" xml:space="preserve">Manfredi, torno ad interrogarla. </s> <s xml:id="echoid-s1247" xml:space="preserve">In vn ſe-<lb/>condo di hora non fà il mobile 15. </s> <s xml:id="echoid-s1248" xml:space="preserve">piedi Romani?</s> <s xml:id="echoid-s1249" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1250" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1251" xml:space="preserve">Etioriſpondo di nuouo di sì.</s> <s xml:id="echoid-s1252" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1253" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1254" xml:space="preserve">Secondo il luogo cit. </s> <s xml:id="echoid-s1255" xml:space="preserve">dell´Almag. </s> <s xml:id="echoid-s1256" xml:space="preserve">FA, non è piedi <lb/>25,870,240?</s> <s xml:id="echoid-s1257" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1258" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1259" xml:space="preserve">Così ſi caua da quel luogo.</s> <s xml:id="echoid-s1260" xml:space="preserve"/> </p> <pb o="32" file="0044" n="44"/> <p> <s xml:id="echoid-s1261" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1262" xml:space="preserve">Adunque ſecondo il P. </s> <s xml:id="echoid-s1263" xml:space="preserve">Riccioli in vn ſecondo ho-<lb/>rario diſcende il mobile per 15. </s> <s xml:id="echoid-s1264" xml:space="preserve">di quelle parti, delle quali <lb/>FA, è 25,870,240. </s> <s xml:id="echoid-s1265" xml:space="preserve">Maſe diſcende 15. </s> <s xml:id="echoid-s1266" xml:space="preserve">di queſte, quante <lb/>diſcender à di quelle, delle quali la medeſima FA, è 20,000, <lb/>000,000?</s> <s xml:id="echoid-s1267" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1268" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1269" xml:space="preserve">11596 {7/20}.</s> <s xml:id="echoid-s1270" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1271" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1272" xml:space="preserve">Mà acciò che foſſe nella circonferenza di circolo, <lb/>biſognarebbe che foſſe ſolo 53. </s> <s xml:id="echoid-s1273" xml:space="preserve">Adunque è tanto più baſſa. <lb/></s> <s xml:id="echoid-s1274" xml:space="preserve">E adunque falſiſſimo, che nè anco nel principio del moto <lb/>camini il mobile per la circonferenza CTX, mà per vna ſpi-<lb/>rale, che caderebbe tanto più dentro del circolo, come hò <lb/>fatto vedere in quel trattatello, che hò publicato di queſte <lb/>ſpira li li giorni paſſati. </s> <s xml:id="echoid-s1275" xml:space="preserve">S´inganna adunque il P. </s> <s xml:id="echoid-s1276" xml:space="preserve">Riccioli di <lb/>gran lunga, e fà vn grand´ equiuoco, quando penſa, che <lb/>quel moto ſi facia in qual ſi ſia luogo per la circonfe-<lb/>renza.</s> <s xml:id="echoid-s1277" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1278" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s1279" xml:space="preserve">Mà come ſi è egli ingannato, & </s> <s xml:id="echoid-s1280" xml:space="preserve">in che coſa conſi-<lb/>ſte il ſuo equiuoco?</s> <s xml:id="echoid-s1281" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1282" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1283" xml:space="preserve">Le dirò. </s> <s xml:id="echoid-s1284" xml:space="preserve">Suppone hauer eſperimentato, che li ſpatij <lb/>paſſati in 1. </s> <s xml:id="echoid-s1285" xml:space="preserve">2. </s> <s xml:id="echoid-s1286" xml:space="preserve">3. </s> <s xml:id="echoid-s1287" xml:space="preserve">4. </s> <s xml:id="echoid-s1288" xml:space="preserve">ſecondi horarij ſiino piedi 15. </s> <s xml:id="echoid-s1289" xml:space="preserve">60. </s> <s xml:id="echoid-s1290" xml:space="preserve">135. </s> <s xml:id="echoid-s1291" xml:space="preserve">240. </s> <s xml:id="echoid-s1292" xml:space="preserve">li <lb/>quali hanno la proportioue delli quadrati delli tempi, cioè <lb/>1. </s> <s xml:id="echoid-s1293" xml:space="preserve">4. </s> <s xml:id="echoid-s1294" xml:space="preserve">9. </s> <s xml:id="echoid-s1295" xml:space="preserve">16. </s> <s xml:id="echoid-s1296" xml:space="preserve">Parimente egli hà trouato, che FS, GT, HV, LX, <lb/>hanno la proportione delli quadrati delli tempi medeſimi <lb/>1. </s> <s xml:id="echoid-s1297" xml:space="preserve">4. </s> <s xml:id="echoid-s1298" xml:space="preserve">9. </s> <s xml:id="echoid-s1299" xml:space="preserve">16. </s> <s xml:id="echoid-s1300" xml:space="preserve">eſſendo eſſe 53. </s> <s xml:id="echoid-s1301" xml:space="preserve">212. </s> <s xml:id="echoid-s1302" xml:space="preserve">476. </s> <s xml:id="echoid-s1303" xml:space="preserve">846. </s> <s xml:id="echoid-s1304" xml:space="preserve">di quelle parti, del-<lb/>le quali FA, è 20,000,000,000. </s> <s xml:id="echoid-s1305" xml:space="preserve">Trouate le quali coſe, non <lb/>hà ricercato più à dentro, mà ſubito hà creduto eſſer queſti <lb/>li ſpatij paſſati. </s> <s xml:id="echoid-s1306" xml:space="preserve">Mà queſto è vn grandiſſimo equiuoco; <lb/></s> <s xml:id="echoid-s1307" xml:space="preserve">mentre come diſſianco all´hora, è ben vero, che li ſpatij <lb/>paſlati hanno la proportione delli quàdrati delli tempi; </s> <s xml:id="echoid-s1308" xml:space="preserve">mà <lb/>poi non tutte quelle magnitudini, che hanno la proportio-<lb/>ne delli quadrati delli tempi ſono li ſpatij paſſati; </s> <s xml:id="echoid-s1309" xml:space="preserve">poiche <lb/>liſpatij paſſati ſono 15. </s> <s xml:id="echoid-s1310" xml:space="preserve">60. </s> <s xml:id="echoid-s1311" xml:space="preserve">135. </s> <s xml:id="echoid-s1312" xml:space="preserve">240. </s> <s xml:id="echoid-s1313" xml:space="preserve">piedi, e quelle inter-<lb/>cetre trà le circonferenze ſono meno di {1/14} {4/14} {9/14} 1 {1/7} di vn <lb/>piede. </s> <s xml:id="echoid-s1314" xml:space="preserve">Horsù Sig. </s> <s xml:id="echoid-s1315" xml:space="preserve">Conte tiriamo auanti.</s> <s xml:id="echoid-s1316" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1317" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1318" xml:space="preserve">Doppo hauer detto, che lo ſuario ritrouato viene <lb/>dalli paralogiſmi, & </s> <s xml:id="echoid-s1319" xml:space="preserve">isbagli ſuoi, nel ſeguente ſchema ſup- <pb o="33" file="0045" n="45"/> <anchor type="figure" xlink:label="fig-0045-01a" xlink:href="fig-0045-01"/> pone del globo terreſtre eſſer centro A; </s> <s xml:id="echoid-s1320" xml:space="preserve">B, doue terminò la <lb/>caduta del globo dicreta; </s> <s xml:id="echoid-s1321" xml:space="preserve">C, altezza della torre d´onde fù <lb/>laſciato il globo; </s> <s xml:id="echoid-s1322" xml:space="preserve">E, punto in mezo la CA, centro del ſemi-<lb/>circolo; </s> <s xml:id="echoid-s1323" xml:space="preserve">AC, ſemidiametro dell´arco CL; </s> <s xml:id="echoid-s1324" xml:space="preserve">ASF, ES, AML, <lb/>linee rette; </s> <s xml:id="echoid-s1325" xml:space="preserve">HO, K R, ſeni verſi delli archi H S, K M, metà <lb/>delli SHA, MKA. </s> <s xml:id="echoid-s1326" xml:space="preserve">Finalmente _deſcriuaſi intorno al centro_ <lb/>_A, gl´ archi BG, per doue ſarebbe traſportato il pauimento della_ <lb/>_detta Torre in virtù del moto diurno in vn ſecondo d´hora, nel_ <lb/>_fine del quale la palla ſi trouarebbe in S, paſſato lo ſpatio appa-_ <lb/>_rente F S, di piedi 15, dei quali BC, è piedi 240_.</s> <s xml:id="echoid-s1327" xml:space="preserve"/> </p> <div xml:id="echoid-div10" type="float" level="2" n="4"> <figure xlink:label="fig-0045-01" xlink:href="fig-0045-01a"> <image file="0045-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0045-01"/> </figure> </div> <p> <s xml:id="echoid-s1328" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1329" xml:space="preserve">Sig. </s> <s xml:id="echoid-s1330" xml:space="preserve">Ofreddi noti in gratia queſte vltime parole, <lb/>perche ſono miracoloſe. </s> <s xml:id="echoid-s1331" xml:space="preserve">Vede lei come s´inganna, cre-<lb/>dendo che FS, ſia ſpatio paſſato in vn ſecondo horario di 15. <lb/></s> <s xml:id="echoid-s1332" xml:space="preserve">piedi? </s> <s xml:id="echoid-s1333" xml:space="preserve">Sarebbe la palla più ſotto dell´S, di gran lunga.</s> <s xml:id="echoid-s1334" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1335" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1336" xml:space="preserve">DP, è l´arco di equilibrio del vicino mare Adria-<lb/>tico, doue termina il ſemidiametro della Terra AD; </s> <s xml:id="echoid-s1337" xml:space="preserve">e DB, <lb/>credo voglia dire, ſij piedi 200. </s> <s xml:id="echoid-s1338" xml:space="preserve">conforme ſi proua nella <lb/>Geografia del P. </s> <s xml:id="echoid-s1339" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s1340" xml:space="preserve">Deſcritta queſta figura, egre- <pb o="34" file="0046" n="46"/> giamente dalle tauole delliſenine caua nelnumero 13. </s> <s xml:id="echoid-s1341" xml:space="preserve">che <lb/>FS, ſia 53. </s> <s xml:id="echoid-s1342" xml:space="preserve">di quelle parti, delle quali FA, è 20,000,000,000. <lb/></s> <s xml:id="echoid-s1343" xml:space="preserve">Poi beniſsimo ricerca l´arco CL, in guiſa che LM, intercet-<lb/>ta contenga 11596. </s> <s xml:id="echoid-s1344" xml:space="preserve">delle medeſime parti, numero già tro-<lb/>uato da lei, etrouà, che l´arco CL. </s> <s xml:id="echoid-s1345" xml:space="preserve">corriſpondente è di mi-<lb/>nuti 3. </s> <s xml:id="echoid-s1346" xml:space="preserve">ſecondi 42.</s> <s xml:id="echoid-s1347" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1348" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1349" xml:space="preserve">Diſcorrendo egli bene, come lei dicc, paſſiamo <lb/>auanti.</s> <s xml:id="echoid-s1350" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1351" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1352" xml:space="preserve">Segue nel numero 15. </s> <s xml:id="echoid-s1353" xml:space="preserve">_Già m´imagin@, che ogni me-_ <lb/>_diocre Geometra ſi accorga del Paralogiſmo del Dialogiſta._</s> <s xml:id="echoid-s1354" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1355" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1356" xml:space="preserve">Conlorobuona gratia voglio andarmene per li <lb/>fatti miei.</s> <s xml:id="echoid-s1357" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1358" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1359" xml:space="preserve">Eperche?</s> <s xml:id="echoid-s1360" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1361" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1362" xml:space="preserve">Perche io ſono ſuperfluo in queſti diſcorſi, non-<lb/>eſſendo nè anco Geometra mediocre, mentre non miaccor-<lb/>go di queſto Paralogi@mo.</s> <s xml:id="echoid-s1363" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1364" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1365" xml:space="preserve">Non parta per queſto Sig. </s> <s xml:id="echoid-s1366" xml:space="preserve">Ofreddi, perche queſte <lb/>ſono parole del Manfredi. </s> <s xml:id="echoid-s1367" xml:space="preserve">Mi creda pure, che ſe ſi pi-<lb/>gliaſſero tutti li Geometri che ſono ſtati, che ſono, e cheſa-<lb/>ranno, eſiponeſſero in vn Lambicco, eſene cauaſſero´ſpi-<lb/>ritidi ſette cotte, non ſarebbero ſufficienti nè meno queſti à <lb/>conoſcer Paralogiſmo, mentre non viè. </s> <s xml:id="echoid-s1368" xml:space="preserve">Vdiamo pure la <lb/>gran proua di queſto.</s> <s xml:id="echoid-s1369" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s1370" xml:space="preserve">_Cont._ </s> <s xml:id="echoid-s1371" xml:space="preserve">La proua è perehe le proportioni, che ſono in vna ret-<lb/>ta linea immobile tra tutta eſſa, ele ſueparti, hora preſe in <lb/>ſpetie determinata di piedi Romani, hora diparte aſtratte, e <lb/>proportionali ad vna medeſima retta ſuppoſta diparti eguali <lb/>20,000,000,000. </s> <s xml:id="echoid-s1372" xml:space="preserve">hà penſato che vagliano ancora quando la <lb/>detta retta linea diuiene diametro di vn circolo, e ſemidiametro <lb/>d´vn altro, e che la portione di eſſa, trouata per @´Aure regola <lb/>nel quotiente, così in aſtratto, ſia quella, che viene intercetta <lb/>trà li due archi adoperati dal Galileo, e dal P. </s> <s xml:id="echoid-s1373" xml:space="preserve">Riccioll, l´vno de <lb/>gualiè di 30. </s> <s xml:id="echoid-s1374" xml:space="preserve">ſecondi, e l´alirodi 15. </s> <s xml:id="echoid-s1375" xml:space="preserve">ſecondi, il che è falſiſ-<lb/>ſimo.</s> <s xml:id="echoid-s1376" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1377" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1378" xml:space="preserve">Sig. </s> <s xml:id="echoid-s1379" xml:space="preserve">Conte, the ſorte di linguaggio è queſto, nel <lb/>quale legge.</s> <s xml:id="echoid-s1380" xml:space="preserve"/> </p> <pb o="35" file="0047" n="47"/> <figure> <image file="0047-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0047-01"/> </figure> <p> <s xml:id="echoid-s1381" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1382" xml:space="preserve">O queſta è bella. </s> <s xml:id="echoid-s1383" xml:space="preserve">Italiano.</s> <s xml:id="echoid-s1384" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1385" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1386" xml:space="preserve">Italiano? </s> <s xml:id="echoid-s1387" xml:space="preserve">Mi rieſce tanto ſtrauagante, che non-<lb/>mi poſſo perſuadere, che ſia alcuno di quelli, nelli quali fur-<lb/>no confuſe le lingue delli Edificatori della Torre di Nem-<lb/>brot.</s> <s xml:id="echoid-s1388" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1389" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1390" xml:space="preserve">Io non hò mai penſato, che queſta quan tità troua-<lb/>ta corriſpondente al ſpatio paſſato ſia l´intercetta trà quelli <lb/>due archi, la quale hò trouaco, che è molto maggiore; </s> <s xml:id="echoid-s1391" xml:space="preserve">& </s> <s xml:id="echoid-s1392" xml:space="preserve">al-<lb/>tra è l´operatione con la quale ſitroua l´intercetta, altra <lb/>quella, con la quale ſi troua il ſpatio paſſato. </s> <s xml:id="echoid-s1393" xml:space="preserve">Io non mi pol-<lb/>ſo perſuadere, che il Manfredi creda quel tanto che dice, <lb/>mentre lo voglio pure credere pratico nella Trigonometria. <lb/></s> <s xml:id="echoid-s1394" xml:space="preserve">E chi non sà, cſſe in queſta le medeſime linee ſono denomi-<lb/>nate in due maniere, cioè con li numeri di ſeni, tangenti, e <lb/>ſecanti in relatione al ſeno tutto, che ſi pono chiamare nu-<lb/>meri arteficiali; </s> <s xml:id="echoid-s1395" xml:space="preserve">e con numeri proprij in molte miſure di pal-<lb/>mi, piedi, braccia, &</s> <s xml:id="echoid-s1396" xml:space="preserve">c. </s> <s xml:id="echoid-s1397" xml:space="preserve">in cognitioni delle quali ſi viene me-<lb/>diante queſte? </s> <s xml:id="echoid-s1398" xml:space="preserve">Ciò però non fa molto, al noſtro propoſito.</s> <s xml:id="echoid-s1399" xml:space="preserve"> <pb o="36" file="0048" n="48"/> Nel noſtro caſo mi riſponda in gratia Sig. </s> <s xml:id="echoid-s1400" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s1401" xml:space="preserve">A C; <lb/></s> <s xml:id="echoid-s1402" xml:space="preserve">ouero A F, ſecondo il P. </s> <s xml:id="echoid-s1403" xml:space="preserve">Riccioli nel cit. </s> <s xml:id="echoid-s1404" xml:space="preserve">luogo dell´Almag. </s> <s xml:id="echoid-s1405" xml:space="preserve"><lb/>non è piedi 25.</s> <s xml:id="echoid-s1406" xml:space="preserve">870.</s> <s xml:id="echoid-s1407" xml:space="preserve">240.</s> <s xml:id="echoid-s1408" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1409" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1410" xml:space="preserve">Tanto ſi deduce da eſſo.</s> <s xml:id="echoid-s1411" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1412" xml:space="preserve">Màtt. </s> <s xml:id="echoid-s1413" xml:space="preserve">La medeſima A F, ſia diametro, ſemidiametro, ò <lb/>come ſi voglia non ſi può conſiderare diuiſa in 20,000,000, <lb/>000?</s> <s xml:id="echoid-s1414" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1415" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1416" xml:space="preserve">Echilo vieta?</s> <s xml:id="echoid-s1417" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1418" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1419" xml:space="preserve">Non potiamo numerare in A F, piedi 15. </s> <s xml:id="echoid-s1420" xml:space="preserve">ſpatio <lb/>paſſato dal graue in I. </s> <s xml:id="echoid-s1421" xml:space="preserve">ſecondo horario?</s> <s xml:id="echoid-s1422" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1423" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1424" xml:space="preserve">E perche nò?</s> <s xml:id="echoid-s1425" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1426" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1427" xml:space="preserve">La proportione, che hà A F, diuiſa in tutti quelli <lb/>piedi alla ſua portione principiante da F, di 15. </s> <s xml:id="echoid-s1428" xml:space="preserve">piedi, non-<lb/>I´ha la medeſima A F, diuiſa in 20,000,000,000. </s> <s xml:id="echoid-s1429" xml:space="preserve">alla medeſi-<lb/>ma principiante dall´F, diuiſa in tante di quelle parti?</s> <s xml:id="echoid-s1430" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1431" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1432" xml:space="preserve">Certiſſimo.</s> <s xml:id="echoid-s1433" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1434" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1435" xml:space="preserve">E perche queſte parti ſaranno 11596. </s> <s xml:id="echoid-s1436" xml:space="preserve">e la FS, in-<lb/>tercetta trà le curue L C, CSM (ſuppoſto CF, arco di 15. </s> <s xml:id="echoid-s1437" xml:space="preserve">ſe-<lb/>condi, e C S, di 30.) </s> <s xml:id="echoid-s1438" xml:space="preserve">è ſolo 53. </s> <s xml:id="echoid-s1439" xml:space="preserve">perciò s´inferiſce lo ſpatio paſ-<lb/>ſato del graue in vn ſecondo horario, ſuppoſto queſto eſſer <lb/>15. </s> <s xml:id="echoid-s1440" xml:space="preserve">piedi, eſſer tanto maggiore della FS; </s> <s xml:id="echoid-s1441" xml:space="preserve">& </s> <s xml:id="echoid-s1442" xml:space="preserve">in conſequenza il <lb/>grauenon muouerſi per CSM.</s> <s xml:id="echoid-s1443" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1444" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1445" xml:space="preserve">Per prouar quanto hà detto diſopra, dice (ſuppo-<lb/>ſto le coſe date quanto ad AC, diametro, AF, ſemidiame-<lb/>tro, C F, arco di 15. </s> <s xml:id="echoid-s1446" xml:space="preserve">ſecondi, C S, di 30. </s> <s xml:id="echoid-s1447" xml:space="preserve">FS, è 53. </s> <s xml:id="echoid-s1448" xml:space="preserve">di quelle <lb/>parti, delle quali AF, è 20,000,000,000.) </s> <s xml:id="echoid-s1449" xml:space="preserve">_Nè in queſt a in-_ <lb/>_dagine entrano parti dipiedi, palmi, &</s> <s xml:id="echoid-s1450" xml:space="preserve">c._</s> <s xml:id="echoid-s1451" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1452" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1453" xml:space="preserve">Tutto veriſſimo.</s> <s xml:id="echoid-s1454" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1455" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1456" xml:space="preserve">Soggiunge, _Vna delle quali, cioè F S, è ſpatio di_ <lb/>_vn moto, che non dipende dalla quantità dell´altre in AC._</s> <s xml:id="echoid-s1457" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1458" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1459" xml:space="preserve">Quì è neceſſario ingenuamente che confeſſi di non <lb/>intendere coſa voglia dire. </s> <s xml:id="echoid-s1460" xml:space="preserve">Se per fortuna voleſſe dire, che <lb/>FS, foſſe vno delli ſpatij paſſati dal mobile, è coſa falſiſſima. <lb/></s> <s xml:id="echoid-s1461" xml:space="preserve">eſſendo tanto maggiore dieſſo.</s> <s xml:id="echoid-s1462" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1463" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1464" xml:space="preserve">Dice poi, che la portione di parti 11596. </s> <s xml:id="echoid-s1465" xml:space="preserve">da lei <lb/>trouata riferita ad AC, diametro, e ſemidiametro delli ar- <pb o="37" file="0049" n="49"/> chi CL, CSM, cioè LM, è compreſa trà liarchi CL, di min. <lb/></s> <s xml:id="echoid-s1466" xml:space="preserve">3. </s> <s xml:id="echoid-s1467" xml:space="preserve">ſec. </s> <s xml:id="echoid-s1468" xml:space="preserve">42. </s> <s xml:id="echoid-s1469" xml:space="preserve">e l´arco CM, di min 7. </s> <s xml:id="echoid-s1470" xml:space="preserve">ſec 24. </s> <s xml:id="echoid-s1471" xml:space="preserve">li quali paſſarebbe-<lb/>ro in ſec. </s> <s xml:id="echoid-s1472" xml:space="preserve">14. </s> <s xml:id="echoid-s1473" xml:space="preserve">&</s> <s xml:id="echoid-s1474" xml:space="preserve">ter. </s> <s xml:id="echoid-s1475" xml:space="preserve">48. </s> <s xml:id="echoid-s1476" xml:space="preserve">Nè all´hora il graue ſarebbe in S, mà <lb/>lungi da L, piedi 3285. </s> <s xml:id="echoid-s1477" xml:space="preserve">il che anco proua.</s> <s xml:id="echoid-s1478" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1479" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1480" xml:space="preserve">Tralaſci la proua, & </s> <s xml:id="echoid-s1481" xml:space="preserve">ogni altra coſa, perche ſe be-<lb/>ne vero, non fà contro dinoi, che non conſideriamo la linea <lb/>11596. </s> <s xml:id="echoid-s1482" xml:space="preserve">traſportata in AL, intercetta trà LC, CSM, mànella <lb/>linea FA.</s> <s xml:id="echoid-s1483" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1484" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1485" xml:space="preserve">Dice di più, che ſe lei non voleua conſiderar FS, <lb/>come intercetta trà quelli archi, mà prender l´FS, così in <lb/>aſtratto, &</s> <s xml:id="echoid-s1486" xml:space="preserve">c.</s> <s xml:id="echoid-s1487" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1488" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1489" xml:space="preserve">Hò ſempre conſiderata F S, come intercetta frà <lb/>quelli archi; </s> <s xml:id="echoid-s1490" xml:space="preserve">nè mai l´hò conſiderata in aſtratto; </s> <s xml:id="echoid-s1491" xml:space="preserve">ma quel-<lb/>lo, che hò conſiderato in aſtratto è ſtato il ſpatio paſſato di <lb/>15. </s> <s xml:id="echoid-s1492" xml:space="preserve">piedi, quale non è FS.</s> <s xml:id="echoid-s1493" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1494" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1495" xml:space="preserve">Dice, che in queſto caſo lei poteua prender A C, <lb/>ouero FA, non come diametro, ma ſemidiametro, e ciò più <lb/>conuenientemente, ſupponendolo 10,000,000,000. </s> <s xml:id="echoid-s1496" xml:space="preserve">hauen-<lb/>do preſo A C, come diametro della Terra piedi 25, 870, <lb/>240. </s> <s xml:id="echoid-s1497" xml:space="preserve">perche così _facendo haueria trouato conla F S, di_ 15. </s> <s xml:id="echoid-s1498" xml:space="preserve">_piedi_</s> </p> <p> <s xml:id="echoid-s1499" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1500" xml:space="preserve">Saldo là con queſta FS, di piedi 15. </s> <s xml:id="echoid-s1501" xml:space="preserve">Non è nè me-<lb/>no vn quarto decimo di piede.</s> <s xml:id="echoid-s1502" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1503" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1504" xml:space="preserve">_La ſteſſa F S, di parti 5798. </s> <s xml:id="echoid-s1505" xml:space="preserve">la metà meno di_ 11596.</s> <s xml:id="echoid-s1506" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1507" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1508" xml:space="preserve">Non ſi troua la FS, 11596. </s> <s xml:id="echoid-s1509" xml:space="preserve">mà il ſpatio paſſato di <lb/>15. </s> <s xml:id="echoid-s1510" xml:space="preserve">piedi. </s> <s xml:id="echoid-s1511" xml:space="preserve">Nè F S, è più di 53. </s> <s xml:id="echoid-s1512" xml:space="preserve">e quando ſi operaſſe con <lb/>10,000,000,000. </s> <s xml:id="echoid-s1513" xml:space="preserve">eſſa FS, non ſarebbe 53. </s> <s xml:id="echoid-s1514" xml:space="preserve">ma 26 {1/2}.</s> <s xml:id="echoid-s1515" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1516" xml:space="preserve">Horsù credo, che à ſufficienza ſia manifeſto il sbaglio del <lb/>P. </s> <s xml:id="echoid-s1517" xml:space="preserve">Riccioli, e del Manfredi, li quali ſi come fanno fare alla <lb/>FS, più parti in Comedia, hora ponendola 53. </s> <s xml:id="echoid-s1518" xml:space="preserve">hora piedi <lb/>15. </s> <s xml:id="echoid-s1519" xml:space="preserve">& </s> <s xml:id="echoid-s1520" xml:space="preserve">in conſequenza, lo ſpatio paſſato dal mobile in vn ſe-<lb/>condo horario, così s´ingaunano quando penſano, che li <lb/>habbiamo imitati. </s> <s xml:id="echoid-s1521" xml:space="preserve">FS, è ſempre 53. </s> <s xml:id="echoid-s1522" xml:space="preserve">di quelle parti, delle <lb/>quali FA, è 20,000,000,000. </s> <s xml:id="echoid-s1523" xml:space="preserve">maiè 15. </s> <s xml:id="echoid-s1524" xml:space="preserve">piedi, ma meno di <lb/>{1/34} di vn piede. </s> <s xml:id="echoid-s1525" xml:space="preserve">FS, non è lo ſpatio paſſato, ma vna linea <lb/>molto maggiore dieſsa; </s> <s xml:id="echoid-s1526" xml:space="preserve">la qualeanco è 11596. </s> <s xml:id="echoid-s1527" xml:space="preserve">diquelle <pb o="38" file="0050" n="50"/> parti; </s> <s xml:id="echoid-s1528" xml:space="preserve">eperciò il graue mai è nella circonferenza C S M, <lb/>come viè il punto S, mà molto ſotto di eſsa. </s> <s xml:id="echoid-s1529" xml:space="preserve">Dice mò egli, <lb/>che queſto è ſtato il mio primo sbaglio; </s> <s xml:id="echoid-s1530" xml:space="preserve">màio dico, che hà <lb/>sbagliato il P. </s> <s xml:id="echoid-s1531" xml:space="preserve">Riccioli.</s> <s xml:id="echoid-s1532" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1533" xml:space="preserve">Con. </s> <s xml:id="echoid-s1534" xml:space="preserve">Dice nel numero 16. </s> <s xml:id="echoid-s1535" xml:space="preserve">che il ſccondo ſuo sbaglio è <lb/>ſtato nel prender il ſemidiametro della Terra compreſaui <lb/>la parte della torre di piedi 25,870,240. </s> <s xml:id="echoid-s1536" xml:space="preserve">ſupponendo, che <lb/>il P. </s> <s xml:id="echoid-s1537" xml:space="preserve">Riccioli habbia determinato queſti piedi ſenza errore <lb/>di qualche centinaro di piedi.</s> <s xml:id="echoid-s1538" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1539" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1540" xml:space="preserve">E queſto errore lo pone alla partita del Sig. </s> <s xml:id="echoid-s1541" xml:space="preserve">Pro-<lb/>feſsore? </s> <s xml:id="echoid-s1542" xml:space="preserve">E non ſi vergogna di dire queſte coſe? </s> <s xml:id="echoid-s1543" xml:space="preserve">Torno bene <lb/>à dire; </s> <s xml:id="echoid-s1544" xml:space="preserve">Dio mi guardi dal prurito di vole@ oſtinatamente <lb/>difender li errori già commeſſi.</s> <s xml:id="echoid-s1545" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1546" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1547" xml:space="preserve">Che dice caro Sig. </s> <s xml:id="echoid-s1548" xml:space="preserve">Ofreddi? </s> <s xml:id="echoid-s1549" xml:space="preserve">Non ella mò ridico-<lb/>la? </s> <s xml:id="echoid-s1550" xml:space="preserve">In vece, che noi ſe lamentiamo, che ne habbia inganna-<lb/>ti, vendendoci vna miſura falſa per bella, ebuona, ſe vuol <lb/>egli lamentar di noi che l´habbiamo ricevuta?</s> <s xml:id="echoid-s1551" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1552" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1553" xml:space="preserve">Mà dice, che l´hà poi corretta nella Geografia, <lb/>ponendo il ſemidiametro della Terra fino alla ſuperficie <lb/>del Mare 23,367,468. </s> <s xml:id="echoid-s1554" xml:space="preserve">piedi; </s> <s xml:id="echoid-s1555" xml:space="preserve">ben che non anco quefti ſi <lb/>deuono prender come certi, e ſenza errore di alcuni <lb/>piedi.</s> <s xml:id="echoid-s1556" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1557" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s1558" xml:space="preserve">Come egli medeſino confeſsa, che in tutte queſte <lb/>miſure viè sbaglio; </s> <s xml:id="echoid-s1559" xml:space="preserve">e chi m´aſſicura, che non vi ſia più er-<lb/>rore nella ſeconda miſura, che nella prima?</s> <s xml:id="echoid-s1560" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1561" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1562" xml:space="preserve">Nella Geografia hàvſata maggior diligenza, Di-<lb/>ce di più, che biſogna componer AC, ditrè quantità cioè <lb/>di A D, ſemidiametro terreſtre terminato al pelo del mare <lb/>Adriàtico; </s> <s xml:id="echoid-s1563" xml:space="preserve">& </s> <s xml:id="echoid-s1564" xml:space="preserve">aggiongerui BC, piedi 240. </s> <s xml:id="echoid-s1565" xml:space="preserve">paſsati dal gra-<lb/>ue in 4. </s> <s xml:id="echoid-s1566" xml:space="preserve">ſecondi di hora; </s> <s xml:id="echoid-s1567" xml:space="preserve">BD, che è dal pauimento del pog-<lb/>giolo inferiore della Torre Aſinella ſino all´Equilibrio del-<lb/>l´Adriatice, che è piedi Romani 250. </s> <s xml:id="echoid-s1568" xml:space="preserve">in circa.</s> <s xml:id="echoid-s1569" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1570" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1571" xml:space="preserve">Non voglio ſcuſare queſto mio enorme peccato <lb/>bene mi voglio rauedere, & </s> <s xml:id="echoid-s1572" xml:space="preserve">operare conforme mi detta il <lb/>Sig Manfredi. </s> <s xml:id="echoid-s1573" xml:space="preserve">Perciò Sig. </s> <s xml:id="echoid-s1574" xml:space="preserve">Ofreddi moltiplichi in gratia AF, <lb/>come 20,000,000,000. </s> <s xml:id="echoid-s1575" xml:space="preserve">per 15. </s> <s xml:id="echoid-s1576" xml:space="preserve">numero delli piedi del ſpa- <pb o="39" file="0051" n="51"/> tio paſsato in vn ſecondo horario, e diuida il prodotto per <lb/>23367958. </s> <s xml:id="echoid-s1577" xml:space="preserve">numero delli piedi dell´AF.</s> <s xml:id="echoid-s1578" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1579" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1580" xml:space="preserve">L´hò ſeruita. </s> <s xml:id="echoid-s1581" xml:space="preserve">Il quotiente è 12838. </s> <s xml:id="echoid-s1582" xml:space="preserve">ſaluo er-<lb/>rore.</s> <s xml:id="echoid-s1583" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1584" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1585" xml:space="preserve">Mà noi ſi contentauamo adoprando il primo diui-<lb/>ſore, che foſse ſolo 11596.</s> <s xml:id="echoid-s1586" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1587" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1588" xml:space="preserve">Tanto adunque, che lo ſpatio paſsato è tanto più <lb/>maggiore dell´FS, di quello che lo poneuamo, e cade più <lb/>giù verſo A, di 1242, di quello particole? </s> <s xml:id="echoid-s1589" xml:space="preserve">Poſso bene con <lb/>maggior ragione eſclamare, mò che gran ſuario è que-<lb/>ſto.</s> <s xml:id="echoid-s1590" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1591" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1592" xml:space="preserve">Non hà però detto il Manfredile coſe ſopradctte, <lb/>perche penſaſse, che il quotiente doueſse eſser 53. </s> <s xml:id="echoid-s1593" xml:space="preserve">Dice di <lb/>più, _che la quantità miſur at a dal noſtro graue nel primo ſecon-_ <lb/>_do borario non dipende dal ſemidiametro della Terra, il quale_ <lb/>_quantunque creſceſſe, ò ſcemaſſe di molti piedi Romani non va-_ <lb/>_riarebbe il mote di detto graue_.</s> <s xml:id="echoid-s1594" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1595" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1596" xml:space="preserve">Se bene queſta dottrina io la tengo per uera; </s> <s xml:id="echoid-s1597" xml:space="preserve">& </s> <s xml:id="echoid-s1598" xml:space="preserve">eſ-<lb/>ſendo anco tale nulla facia contro di noi; </s> <s xml:id="echoid-s1599" xml:space="preserve">nulladimeno que-<lb/>ſto particolare e molti giorni, che mi paſſa per la fantaſia. <lb/></s> <s xml:id="echoid-s1600" xml:space="preserve">E proponerei volentieri à tanti nobiliſsimi ingegni, li quali <lb/>fanno eſperienze, che procuraſsero di miſurar litempi, nel-<lb/>li quali graui in mole, eſpetie eguali diſcendeſsero per due <lb/>spatij eguali, in due, e più luoghi poſti in diſtanze ineguali <lb/>dal centro. </s> <s xml:id="echoid-s1601" xml:space="preserve">Per eſsempio laſciaſsero queſti graui da vna <lb/>determinata altezza poſta ſopra vn´ altiſsimo monte, eda <lb/>vna ſimile altezza poſta vicino al mare. </s> <s xml:id="echoid-s1602" xml:space="preserve">Io ſtimo, che tro-<lb/>uandoſi varietà, ò nò circa il diſcender il graue, ſi poteſse <lb/>chimerizare con maggior fondamento qualche coſa circa <lb/>la cagione dell´acceleratione del graue nel diſcendere.</s> <s xml:id="echoid-s1603" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1604" xml:space="preserve">Queſto deſiderio nacque in me Sig. </s> <s xml:id="echoid-s1605" xml:space="preserve">Conte, quando lei nel <lb/>paſſato noſtro diſcorſo chimerizò, che ſuppoſto il moto del-<lb/>la Terra, ſi potrebbe dire, che l´acceleratione naſceſse <lb/>dalla maggiore, e maggiore proportione, che haueſ-<lb/>ſe il moto all´ingiù al circolare, il quale anderia ſcemando <lb/>à proportione, che più s´accoſta al centro. </s> <s xml:id="echoid-s1606" xml:space="preserve">Quando queſto <pb o="40" file="0052" n="52"/> foſse, ne ſeguirebbe, che l´empito proueniente dalla grauità <lb/>eſsendo ſempre il medeſimo, e douendo nelle maggiori al-<lb/>tezze contraſtare con moti circolari più veloci, chenelle <lb/>minori, & </s> <s xml:id="echoid-s1607" xml:space="preserve">haueſse à quelli minori proportioni, che à queſti, <lb/>non potrebbe in tempi eguaii condure il graue verſo il cen-<lb/>tro egualmente nelle maggiori, che nelle minori altezze; </s> <s xml:id="echoid-s1608" xml:space="preserve">mà <lb/>meno quanto più alto ſi laſciaſse cadere.</s> <s xml:id="echoid-s1609" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1610" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1611" xml:space="preserve">Oltre che queſta eſperienza è difficiliſſima da eſ-<lb/>ſcr praticata per molti riſpetti, io crederei, che ſuccedeſse <lb/>al contrario; </s> <s xml:id="echoid-s1612" xml:space="preserve">perche eſsendo la reſiſtenza del mezo quella, <lb/>che impediſce il diſcender del graue; </s> <s xml:id="echoid-s1613" xml:space="preserve">& </s> <s xml:id="echoid-s1614" xml:space="preserve">eſsendo l´aria più à <lb/>noi vicina più reſiſtente, che la più lontana, per eſſer quella <lb/>più craſsa di queſta; </s> <s xml:id="echoid-s1615" xml:space="preserve">ne ſeguirebbe, che nelle maggiori al-<lb/>tezze diſcenderebbe più preſto, che nelle noſtre più vicine <lb/>al centro. </s> <s xml:id="echoid-s1616" xml:space="preserve">Credo, che queſto lo potremo facilmente eſpe-<lb/>rimentare con diletto ſe laſciaremo cadere due ſimili peſi <lb/>dall´altezza d´vna torre nell´aria libera, e dentro la profon-<lb/>dità di vn pozzo di pari altezza: </s> <s xml:id="echoid-s1617" xml:space="preserve">ſtimo di certo che notare-<lb/>mo tempo maggiore nel pozzo, che nell´aria libera, per eſ-<lb/>ſer l´aria dentro il pozzo notabilmente più craſſa, che fuo-<lb/>ri.</s> <s xml:id="echoid-s1618" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1619" xml:space="preserve">E notino loro Signori quello, che hò ſentito dire dal <lb/>Sig. </s> <s xml:id="echoid-s1620" xml:space="preserve">Giacomo Gregorii Scozzeſe eccellentiſsimo Mattema-<lb/>tico. </s> <s xml:id="echoid-s1621" xml:space="preserve">Diceua egli eſſergli ſtato riferito da quelli, che in In-<lb/>ghilterra cauano il carbone di minera dentro cauità profon-<lb/>de, che iui muouo con gran ageuolezza pezzi grandiſſimi; </s> <s xml:id="echoid-s1622" xml:space="preserve">li <lb/>quali poi condotti all´ alto non li poſſono muouere ſe non <lb/>con molta maggior forza. </s> <s xml:id="echoid-s1623" xml:space="preserve">Q eſto credo ſucceda, perche <lb/>leuando il mezo alla grauità aſſoluta del peſo tanto quanto <lb/>peſa vna mole del mezo eguale al peſo; </s> <s xml:id="echoid-s1624" xml:space="preserve">eſsendo più graue <lb/>l´aria dentro la caua, che fuori; </s> <s xml:id="echoid-s1625" xml:space="preserve">perciò è più legiero il gra-<lb/>ue nella caua, che fuori. </s> <s xml:id="echoid-s1626" xml:space="preserve">Hora effendo queſt´aria dentro più <lb/>graue, che fuori, reſiſterebbe più al moto all´ingiù dentro, <lb/>che fuori.</s> <s xml:id="echoid-s1627" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1628" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1629" xml:space="preserve">Queſte mi paìono buoniſſime dottrine. </s> <s xml:id="echoid-s1630" xml:space="preserve">Nulladi-<lb/>meno, già che, come dicono à Roma, vna Prouatura coſta <pb o="41" file="0053" n="53"/> due baiochi, hauerei piacere, che alcuno faceſſe queſta eſ-<lb/>perienza. </s> <s xml:id="echoid-s1631" xml:space="preserve">Perche potrebbe dire alcuno, che non ſia tanta <lb/>la differ enza di queſta noſtra baſſa, ma libera a ria, e di quel-<lb/>la alta ſopra il monte, quanto foſſe la diuerſità di quelle ve-<lb/>locità circolari. </s> <s xml:id="echoid-s1632" xml:space="preserve">In ſomma haurei guſto, che foſſe eſperimen-<lb/>tato, per potermi maggiormente confermare in quello, che <lb/>già sò, e tengo di certo, che il ſuo, Sig. </s> <s xml:id="echoid-s1633" xml:space="preserve">Conte, ſia ſtato vn <lb/>mero capriccio, eſsendo fondato ſopra la falſiſſima ipote-<lb/>ſi Copernicana. </s> <s xml:id="echoid-s1634" xml:space="preserve">Horsù ſeguiti Sig. </s> <s xml:id="echoid-s1635" xml:space="preserve">Conte.</s> <s xml:id="echoid-s1636" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1637" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1638" xml:space="preserve">Seguita in queſto numero à dire coſe ſimili alle <lb/>paſſate; </s> <s xml:id="echoid-s1639" xml:space="preserve">alle quali eſſendo ſtato à baſtãza riſpoſto, non credo, <lb/>che facia di meſtieri ſoggiunger altro. </s> <s xml:id="echoid-s1640" xml:space="preserve">Tutto l´Equiuoco <lb/>del Manfredi è, che prende F S, come ſpatio paſsato dal <lb/>graue nel primo ſecondo horario. </s> <s xml:id="echoid-s1641" xml:space="preserve">Dice però nel fine, che <lb/>nõ biſogna impegnarſi in miſurel di piedi certe da vna parte, <lb/>ma incerte dall´altra, nè pore in dubbio l´eſperienze dell´-<lb/>acceleratione delli graui, che raccontate alla buona memo-<lb/>ria del P. </s> <s xml:id="echoid-s1642" xml:space="preserve">Caualieri, furno da eſſo approuate con guſto in-<lb/>dicibile.</s> <s xml:id="echoid-s1643" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1644" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1645" xml:space="preserve">Con non minor guſto le habbiamo approuate <lb/>ancornoi, e conceſse come belle, e buone. </s> <s xml:id="echoid-s1646" xml:space="preserve">Anzi che con-<lb/>ceſse queſte accelerationi al P. </s> <s xml:id="echoid-s1647" xml:space="preserve">Riccioli, habbiamo dedot-<lb/>to li ſuoi sbagli.</s> <s xml:id="echoid-s1648" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1649" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1650" xml:space="preserve">Nel numero 17. </s> <s xml:id="echoid-s1651" xml:space="preserve">ſeguita à dire, che nõ egli, mà lei hà <lb/>grandemente equiuocato; </s> <s xml:id="echoid-s1652" xml:space="preserve">e dice, _che non baſta da trè quan-_ <lb/>_tità diſpoſte nella regola del trè c auarne vn quotiente in aſtrat-_ <lb/>_to; </s> <s xml:id="echoid-s1653" xml:space="preserve">ma biſognatrouare, che babbino la douuta proportione ri-_ <lb/>_chieſta alla materia, che ſi tratta_.</s> <s xml:id="echoid-s1654" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1655" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1656" xml:space="preserve">Queſto è certiſsimo. </s> <s xml:id="echoid-s1657" xml:space="preserve">Mà _quid contra nos_?</s> <s xml:id="echoid-s1658" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1659" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1660" xml:space="preserve">Dice, che ſi ſono ingannati quelli, li quali hanno <lb/>creduto, che eſſendo il diametro d´vna sfera di vn palmo, e <lb/>quello di vn´ altra di due, la ſolidità di queſta ſia doppia di <lb/>quella, eſsendo ottupla. </s> <s xml:id="echoid-s1661" xml:space="preserve">Così eſserſi ingannato Ariſtoti-<lb/>le, il qual credete, che come la grauità, alla grauità, così <lb/>foſse la velocità del cadente alla velocità dell´altro. </s> <s xml:id="echoid-s1662" xml:space="preserve">E poi <lb/>conchiude. </s> <s xml:id="echoid-s1663" xml:space="preserve">_Mà non più di queſto_.</s> <s xml:id="echoid-s1664" xml:space="preserve"/> </p> <pb o="42" file="0054" n="54"/> <p> <s xml:id="echoid-s1665" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1666" xml:space="preserve">Sarebbe ſtato meglio non portar nè anco queſto, <lb/>mentre che non hà che fare con la noſtra controuerſia in <lb/>conto alcuno.</s> <s xml:id="echoid-s1667" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1668" xml:space="preserve">Cont, Conchiude, che lei non ſtimi, che perciò non lo <lb/>tenga per vn gran Geometra, _perche confeſſa di eſſer tal uol-_ <lb/>_ta ancor eſſo inciampato in ſimil diſcorſi, & </s> <s xml:id="echoid-s1669" xml:space="preserve">eſſer ſtato conſtretto_ <lb/>_dalla conoſciuta verità à corregerſi_.</s> <s xml:id="echoid-s1670" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1671" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1672" xml:space="preserve">Lirendo gratie della ſtima, che fà delle mie debo-<lb/>lezze; </s> <s xml:id="echoid-s1673" xml:space="preserve">e confeſso, che anch´io ſono inciampato ſpeſiſſimo <lb/>in vaniſſimi diſcorſi; </s> <s xml:id="echoid-s1674" xml:space="preserve">mà il paſsato da me fatto, è ſtato vno <lb/>delli più ſodi, che habbia mai fatti; </s> <s xml:id="echoid-s1675" xml:space="preserve">nel quale ſe dopo <lb/>tante rifleſſioni ancora fallaſſi, vorrei andare à reſtituire al-<lb/>la Natura l´intelletto, che mi hà dato, per non miſeruir più <lb/>di eſso con tanto vituperio dell´humanità.</s> <s xml:id="echoid-s1676" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1677" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1678" xml:space="preserve">Nelnumero 18. </s> <s xml:id="echoid-s1679" xml:space="preserve">il Sig. </s> <s xml:id="echoid-s1680" xml:space="preserve">Manfredinon vuole riceue-<lb/>re la íua galanthomenagine, mentre lei dice nella pag. </s> <s xml:id="echoid-s1681" xml:space="preserve">20. <lb/></s> <s xml:id="echoid-s1682" xml:space="preserve">[E concedendoci (per eſser liberale) che le ſue F S, GT, <lb/>HV, LX, intercette trà le due circonferenze habbino la <lb/>proportione delli quadrati dellitempi, non ſi può però in-<lb/>ferire, che ſijno li ſpatij paſsati dal mobile.</s> <s xml:id="echoid-s1683" xml:space="preserve">] _Non fà di mi-_ <lb/>_ſtieri di liberalità_ (dice egli) _quando viè debito di giuſtitia_, <lb/>_e ſi deue per neceſſità. </s> <s xml:id="echoid-s1684" xml:space="preserve">Egià ſi è prouato al num. </s> <s xml:id="echoid-s1685" xml:space="preserve">11. </s> <s xml:id="echoid-s1686" xml:space="preserve">che neceſſa-_ <lb/>_riamente le dette linee hannotrà ſe quella proportione_,</s> </p> <p> <s xml:id="echoid-s1687" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s1688" xml:space="preserve">Se io mi foſſi ritrouato vicino al Sig. </s> <s xml:id="echoid-s1689" xml:space="preserve">Manfredi <lb/>quado ſcriueua queſte parole, per la geloſia, che tengo del-<lb/>la ſua riputatione, li hauerei leuato la penna di mano, ac-<lb/>ciò nonſi faceſse rider dietro dalli Geometri.</s> <s xml:id="echoid-s1690" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1691" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1692" xml:space="preserve">Che forſe dà l´animo à lei di dimoſtrare altrimen-<lb/>te? </s> <s xml:id="echoid-s1693" xml:space="preserve">Lo facia Sig. </s> <s xml:id="echoid-s1694" xml:space="preserve">Ofreddi, che così darà à vedere, che non è <lb/>Geometra tanto volgare; </s> <s xml:id="echoid-s1695" xml:space="preserve">quantunque ſopra lei non hab-<lb/>bia ſaputo vedere quel noſtro paralogiſmo, il quale dice-<lb/>ua il Manfredi eſser tanto ouuio ad ogni mediocre Geome-<lb/>tra.</s> <s xml:id="echoid-s1696" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1697" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s1698" xml:space="preserve">Hor hora la ſeruo con la ſeguente.</s> <s xml:id="echoid-s1699" xml:space="preserve"/> </p> <pb o="43" file="0055" n="55"/> <figure> <image file="0055-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0055-01"/> </figure> </div> <div xml:id="echoid-div12" type="section" level="1" n="8"> <head xml:id="echoid-head13" xml:space="preserve">PROPOSITION I.</head> <p style="it"> <s xml:id="echoid-s1700" xml:space="preserve">Sia AB, diametro del ſemicircolo ADB, e raggio del quadrante <lb/>AEB; </s> <s xml:id="echoid-s1701" xml:space="preserve">e dal centro A, ſiano tirati li due ſemidiametri <lb/>AFG, ADC. </s> <s xml:id="echoid-s1702" xml:space="preserve">Dico, che la proportione di DC, à FG, è ſempre <lb/>minore di quella della duplicata dell´ arco C G B, all´ ar-<lb/>co G B.</s> <s xml:id="echoid-s1703" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1704" xml:space="preserve">SIano prodotte le linee CA, GA, in HK, in guiſa che <lb/>ſiano doppie dieſse, cioè diametri del quadrante AEB; <lb/></s> <s xml:id="echoid-s1705" xml:space="preserve">e parimente ſiano tirate le rette GB, CB, FB, DB, HB, KB. </s> <s xml:id="echoid-s1706" xml:space="preserve"><lb/>Liangoli GBH, CBK, HFB, KDB, ſaranno tutti retti per <lb/>eſser nel ſemicircolo. </s> <s xml:id="echoid-s1707" xml:space="preserve">Adunque come KC, à CB, così <pb o="44" file="0056" n="56"/> quefta alla C D. </s> <s xml:id="echoid-s1708" xml:space="preserve">Adunque il rettangolo K C D, ſarà eguale al <lb/>quadrato C B. </s> <s xml:id="echoid-s1709" xml:space="preserve">Nel medeſimo modo il rettangolo H G F, è <lb/>eguale al quadrato B G. </s> <s xml:id="echoid-s1710" xml:space="preserve">Adunque come il quadrato di C B, <lb/>al quadrato di G B, così è il rettangolo K C D, al rettango-<lb/>lo H G F; </s> <s xml:id="echoid-s1711" xml:space="preserve">cioè così la linea D C, alla linea G F, per l´altezze <lb/>eguali. </s> <s xml:id="echoid-s1712" xml:space="preserve">Ma hauendo, ſecondo dimoſtrano molti, & </s> <s xml:id="echoid-s1713" xml:space="preserve">in <lb/>ſpetie il Copernico nel lib. </s> <s xml:id="echoid-s1714" xml:space="preserve">1. </s> <s xml:id="echoid-s1715" xml:space="preserve">dell. </s> <s xml:id="echoid-s1716" xml:space="preserve">Reuol. </s> <s xml:id="echoid-s1717" xml:space="preserve">Theor. </s> <s xml:id="echoid-s1718" xml:space="preserve">6. </s> <s xml:id="echoid-s1719" xml:space="preserve">C B, à <lb/>G B, minor proportione dell´arco C G B, all´arco G B; </s> <s xml:id="echoid-s1720" xml:space="preserve">anco la <lb/>proportione del quadrato C B, al quadrato G B; </s> <s xml:id="echoid-s1721" xml:space="preserve">cioè la pro-<lb/>portione della linea C D, alla linea G F, ſarà minore della <lb/>proportione duplicata dell´arco C G B, all´arco G B. </s> <s xml:id="echoid-s1722" xml:space="preserve">Il che <lb/>&</s> <s xml:id="echoid-s1723" xml:space="preserve">c.</s> <s xml:id="echoid-s1724" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1725" xml:space="preserve">Et auertino loro Signori, che ſi bene hò dimoſtrato Ia <lb/>proportione delle due D C, F G, vale anco dell´A E, D C; <lb/></s> <s xml:id="echoid-s1726" xml:space="preserve">&</s> <s xml:id="echoid-s1727" xml:space="preserve">c.</s> <s xml:id="echoid-s1728" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1729" xml:space="preserve">Hora perche il moto per l´arco B G C, ſi ſuppone equabi-<lb/>le; </s> <s xml:id="echoid-s1730" xml:space="preserve">onde perciò hauendo l´arco all´arco la proportione del <lb/>tempo al tempo; </s> <s xml:id="echoid-s1731" xml:space="preserve">& </s> <s xml:id="echoid-s1732" xml:space="preserve">in conſequenza eſſendo la proportione <lb/>del quadrato del tempo al quadrato del tempo duplicata <lb/>dalla proportione dell´arco all´arco; </s> <s xml:id="echoid-s1733" xml:space="preserve">Anco la proportione <lb/>di D C, à G F, ſarà minore della proportione del quadrato <lb/>del tempo al quadrato del tempo.</s> <s xml:id="echoid-s1734" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1735" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1736" xml:space="preserve">Valoroſo Sig. </s> <s xml:id="echoid-s1737" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s1738" xml:space="preserve">Ma io non sò coſa voglia <lb/>intèndere il Manfredi quando in ſoſtanza ſoggiunge, par-<lb/>lando delle F S, G T, H V, L X, che non ſarebbero nel ſiſtema <lb/>Copernicano li ſpatij paſſati, non diſcendendo il graue per <lb/>eſle, mà per vna curua deſcritta per li termini S, T, V, X, la <lb/>quale ſe bene in rigor mattematico non è neceſlario, che ſia <lb/>circolare, non può però nel principio del moto eſſer m@lto <lb/>diuerſa da quella, &</s> <s xml:id="echoid-s1739" xml:space="preserve">c. </s> <s xml:id="echoid-s1740" xml:space="preserve">Hora tralaſciate queſte coſe, che <lb/>non ſono altro, che repliche del paſſato, nel numero 19. </s> <s xml:id="echoid-s1741" xml:space="preserve">con-<lb/>ſidera quanto è ſtato da lei detto contro quello aſſerto del <lb/>P. </s> <s xml:id="echoid-s1742" xml:space="preserve">Riccioli, che fà contro il Galileo; </s> <s xml:id="echoid-s1743" xml:space="preserve">cioè, che la ſemità del <lb/>moto cadeſſe dentro la circonſerenza del ſemicircolo; </s> <s xml:id="echoid-s1744" xml:space="preserve">e <lb/>non oſtante la demoſtratione da lei addotta all´hora, perſi-<lb/>ſte nell´opinione del P. </s> <s xml:id="echoid-s1745" xml:space="preserve">Riccioli, dicendo, che l´hà dimoſtra- <pb o="45" file="0057" n="57"/> <anchor type="figure" xlink:label="fig-0057-01a" xlink:href="fig-0057-01"/> to il P. </s> <s xml:id="echoid-s1746" xml:space="preserve">Riccioli dalle Tauole delliſeni più certe, e più fon-<lb/>date, che li ſuoi diſcorſi, &</s> <s xml:id="echoid-s1747" xml:space="preserve">c. </s> <s xml:id="echoid-s1748" xml:space="preserve">Soggiunge però, che non nuo-<lb/>cendo queſto alla forza ſuſtantiale dell´argomento, _ſe li può_ <lb/>_dare vn tranſeat_.</s> <s xml:id="echoid-s1749" xml:space="preserve"/> </p> <div xml:id="echoid-div12" type="float" level="2" n="1"> <figure xlink:label="fig-0057-01" xlink:href="fig-0057-01a"> <image file="0057-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0057-01"/> </figure> </div> <p> <s xml:id="echoid-s1750" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1751" xml:space="preserve">Benche poteſſe il Sig. </s> <s xml:id="echoid-s1752" xml:space="preserve">Manfredi rimaner conuinto <lb/>da quanto diceſſimo all´hora, nulla dimeno più lo confonde-<lb/>rà il detto già pochi giorni nel noſtro Libretto dell´Infinite <lb/>Spirali Inuerſe, oue habbia mo regiſtrata la Geometrica, & </s> <s xml:id="echoid-s1753" xml:space="preserve"><lb/>elegante demoſtratione del Sig. </s> <s xml:id="echoid-s1754" xml:space="preserve">Giacomo Gregori Scozze-<lb/>ſe; </s> <s xml:id="echoid-s1755" xml:space="preserve">la qual verità ſi può anco prouare nello ſchema ſupe-<lb/>riore del Sig. </s> <s xml:id="echoid-s1756" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s1757" xml:space="preserve">Sia per tanto la.</s> <s xml:id="echoid-s1758" xml:space="preserve"/> </p> <pb o="46" file="0058" n="58"/> </div> <div xml:id="echoid-div14" type="section" level="1" n="9"> <head xml:id="echoid-head14" xml:space="preserve">PROPOSITION II.</head> <p style="it"> <s xml:id="echoid-s1759" xml:space="preserve">Sein quello Schema hauerà A C, à C S, duplicata proportione <lb/>dell´ arco E C B, all´arco C B. </s> <s xml:id="echoid-s1760" xml:space="preserve">Dico, che il punto S, caderà ſe-<lb/>prail D.</s> <s xml:id="echoid-s1761" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1762" xml:space="preserve">POiche hauendo per la detta prop. </s> <s xml:id="echoid-s1763" xml:space="preserve">1. </s> <s xml:id="echoid-s1764" xml:space="preserve">E A, alla C D, minor <lb/>proportione dell´arco E C B, all´arco C B; </s> <s xml:id="echoid-s1765" xml:space="preserve">cioè per il ſup-<lb/>poſto, dell´A C, ouero, E A, alla C S; </s> <s xml:id="echoid-s1766" xml:space="preserve">ſarà C S, minore della <lb/>C D. </s> <s xml:id="echoid-s1767" xml:space="preserve">Il che, &</s> <s xml:id="echoid-s1768" xml:space="preserve">c. </s> <s xml:id="echoid-s1769" xml:space="preserve">Mi ſtupiſco però, che il Sig. </s> <s xml:id="echoid-s1770" xml:space="preserve">Manfredi <lb/>non ſi vergogni di perſiſtere nell´approuare l´Ageometrico <lb/>modo di diſcorrere del P. </s> <s xml:id="echoid-s1771" xml:space="preserve">Riccioli in quelluogò.</s> <s xml:id="echoid-s1772" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1773" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1774" xml:space="preserve">In gratia ce lo manifeſti.</s> <s xml:id="echoid-s1775" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1776" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1777" xml:space="preserve">Quando ſi vuole Geometricamente ricercare il ſi-<lb/>to, e la poſitura d i vna linea, la quale habbia principio, e <lb/>fine, oltre à queſti due punti eſtremi, non biſogna deter-<lb/>minare il ſito di altro punto. </s> <s xml:id="echoid-s1778" xml:space="preserve">Mà il P. </s> <s xml:id="echoid-s1779" xml:space="preserve">Riccioli nel ricercare <lb/>il ſito di queſta linea determina vn punto nella circonferen-<lb/>za del ſemicircolo, cioè quello, che termina l´arco di vn <lb/>grado. </s> <s xml:id="echoid-s1780" xml:space="preserve">Onde che merauiglia, che egli habbia sbagliato, ſti-<lb/>mando cader dentro quella linea in parte, che tutta, tutta <lb/>cade fuori?</s> <s xml:id="echoid-s1781" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1782" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1783" xml:space="preserve">Intendo beniſſimo. </s> <s xml:id="echoid-s1784" xml:space="preserve">Hora nel numero 20. </s> <s xml:id="echoid-s1785" xml:space="preserve">conſi-<lb/>dera quel tanto, che lei dice alla pag. </s> <s xml:id="echoid-s1786" xml:space="preserve">28. </s> <s xml:id="echoid-s1787" xml:space="preserve">cioè, che queſta <lb/>ſemita ſarebbe vna Spirale, che potrebbe deſcriuer per pun-<lb/>ti, &</s> <s xml:id="echoid-s1788" xml:space="preserve">c. </s> <s xml:id="echoid-s1789" xml:space="preserve">Edice, che con queſto calcolo lei ſuppone l´A B C, <lb/>de 25, 870, 240. </s> <s xml:id="echoid-s1790" xml:space="preserve">piedi; </s> <s xml:id="echoid-s1791" xml:space="preserve">la qual miſura, biſogna corre-<lb/>gere.</s> <s xml:id="echoid-s1792" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1793" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1794" xml:space="preserve">Anco con il numero de piedi da eſſo corretto <lb/>chiamato, ne reſultarebbe pure la ſpirale.</s> <s xml:id="echoid-s1795" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1796" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1797" xml:space="preserve">Dice però, che queſto poco importa. </s> <s xml:id="echoid-s1798" xml:space="preserve">E quà ſi vol-<lb/>ge à diſcorrere ſopra il ridere del Sig. </s> <s xml:id="echoid-s1799" xml:space="preserve">Ofreddi cagionato <lb/>dalla ſimplicità dell´Ariſtotelico da Monte Polciano, che <lb/>rendeua gratie à tutta la corte celeſtiale de gli Dei, per vna <lb/>inſinità di ſpropoſiti da eſſo ſognati. </s> <s xml:id="echoid-s1800" xml:space="preserve">Hora da quanto par- <pb o="47" file="0059" n="59"/> mi ſcoprire dalle ſue parole, tira egli, come ſi ſuol dire, l´-<lb/>acqua al ſuo molino, e crede, che il Sig. </s> <s xml:id="echoid-s1801" xml:space="preserve">Ofreddi ſi ſia riſo <lb/>del P. </s> <s xml:id="echoid-s1802" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s1803" xml:space="preserve">Dice, che queſti di nuouo ringratia Iddio, <lb/>che li habbia fatto ſouuenire argomenti per trafiggere li <lb/>Copernicani, & </s> <s xml:id="echoid-s1804" xml:space="preserve">in partico lare il Galileo con le ſue proprie <lb/>armi, e dice. </s> <s xml:id="echoid-s1805" xml:space="preserve">_E benche intend a beniſſimo, doue vadano à fe-_ <lb/>_rire guelle alluſioni contro gli Ariſtotelici, non iſtima però de-_ <lb/>_gno della grauità, e moder atione Religioſa riſpondere con al-_ <lb/>_tritermini che di vna totale diſſimulatione di tutto ciò, che ſot-_ <lb/>_to ſpecie di ricreatione ſi dice nella ſacciata 37. </s> <s xml:id="echoid-s1806" xml:space="preserve">ſenza riſerbo_ <lb/>_anco de ſuperiori ſuoi, perche ad´altris´ aſpetta il difenderli_. <lb/></s> <s xml:id="echoid-s1807" xml:space="preserve">_Anzi nè meno vuol quì nominarli per vbbidire à porſona, icui_ <lb/>_cenni ſtima in luozo di comandamenti_.</s> <s xml:id="echoid-s1808" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1809" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1810" xml:space="preserve">O quì sì, che deue hauer luogo quel prouerbio, <lb/>che ogni parola non vuol riſpoſta.</s> <s xml:id="echoid-s1811" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1812" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1813" xml:space="preserve">Nel numero 21. </s> <s xml:id="echoid-s1814" xml:space="preserve">non v´è altro d´oſſeruabile, ſe non <lb/>vn obiettione, che è tale in ſoſtanza. </s> <s xml:id="echoid-s1815" xml:space="preserve">Il P. </s> <s xml:id="echoid-s1816" xml:space="preserve">Riccioli preten-<lb/>de principalmente di conuincere di falſità il ſiſtema Coper-<lb/>nicano, perche la percoſſa tanto più è maggiore, quanto <lb/>che il cadente viene dà più alto luogo à proportione. </s> <s xml:id="echoid-s1817" xml:space="preserve">Hora <lb/>lei diſſimula queſto punto, e non riſponde à propoſito. </s> <s xml:id="echoid-s1818" xml:space="preserve">Per-<lb/>che quantunqne anco il graue ſi moueſſe acceleratamente, <lb/>queſta acceleratione però non ſarebbe tanta, che baſtaſſe à <lb/>queſta diuerſità.</s> <s xml:id="echoid-s1819" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1820" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1821" xml:space="preserve">Oda Sig. </s> <s xml:id="echoid-s1822" xml:space="preserve">Conte. </s> <s xml:id="echoid-s1823" xml:space="preserve">Sò anch´io, che il principal in-<lb/>tento del P. </s> <s xml:id="echoid-s1824" xml:space="preserve">Riccioli è di prouare, che la Terra non ſi muo-<lb/>ue, come in verità non ſi muoue; </s> <s xml:id="echoid-s1825" xml:space="preserve">perche muouendo ſi il ſuo <lb/>moto ſarebbe equabile; </s> <s xml:id="echoid-s1826" xml:space="preserve">& </s> <s xml:id="echoid-s1827" xml:space="preserve">in conſequenza farebbe da per <lb/>tutto la medeſima percoſſa. </s> <s xml:id="echoid-s1828" xml:space="preserve">Mà che il moto foſſe equabile, <lb/>ſi proua in queſto luogo, perche ſi muoue per linea circola-<lb/>re. </s> <s xml:id="echoid-s1829" xml:space="preserve">Quando adunque io facio vedere, che non ſi muoue <lb/>per linea circolare; </s> <s xml:id="echoid-s1830" xml:space="preserve">dimoſtrando falſo il fondamento di tut-<lb/>to il d ſcorſo, rouina ogni coſa. </s> <s xml:id="echoid-s1831" xml:space="preserve">Etanto mi baſta dimoſtra-<lb/>re ſin hora. </s> <s xml:id="echoid-s1832" xml:space="preserve">Quando poi ſi ſaranno paſſi maggiori, come ſi <lb/>fanno nell´argomento regiſtrato nell´Aſtronomia Riforma-<lb/>ta, & </s> <s xml:id="echoid-s1833" xml:space="preserve">io m´innoltrarò con riſpoſte maggiori. </s> <s xml:id="echoid-s1834" xml:space="preserve">Haurei potuto <pb o="48" file="0060" n="60"/> an@h´ in queſto luogo dar quella riſpoſta, che hò data iui; <lb/></s> <s xml:id="echoid-s1835" xml:space="preserve">cioè che quantunque il moto compoſto del circolare, & </s> <s xml:id="echoid-s1836" xml:space="preserve">al-<lb/>Pingiù foſſe equabile, nulladimeno hauereſſimo la diuerſità <lb/>della percoſſa; </s> <s xml:id="echoid-s1837" xml:space="preserve">perche procedendo queſta dalla direttione <lb/>all´ingiù, e ſecondo queſta mouendoſi acceleratamente ſe-<lb/>condo li quadrati delli tempi; </s> <s xml:id="echoid-s1838" xml:space="preserve">deuono ſeguire le maggiori <lb/>percoſſioni ſecondo quella proportione. </s> <s xml:id="echoid-s1839" xml:space="preserve">Non creda adun-<lb/>que il Sig. </s> <s xml:id="echoid-s1840" xml:space="preserve">Manfredi, che anco quando foſſe vero, che il mo-<lb/>to compoſto del graue foſſe equabile, & </s> <s xml:id="echoid-s1841" xml:space="preserve">anco fatto per cir-<lb/>conferenza di circolo, non per queſto non ſi poteſſe ſaluare <lb/>la diuerſità della percoſſa. </s> <s xml:id="echoid-s1842" xml:space="preserve">Non hò però, come hò detto, <lb/>dato in queſto luogo quella riſpoſta, perche non è neceſſa-<lb/>ria. </s> <s xml:id="echoid-s1843" xml:space="preserve">Poiche fondando il P. </s> <s xml:id="echoid-s1844" xml:space="preserve">Riccioli ogni coſa ſopra il mo-<lb/>to per linea circolare; </s> <s xml:id="echoid-s1845" xml:space="preserve">moſtrandoſi falſo queſto, non occor-<lb/>re dir altro. </s> <s xml:id="echoid-s1846" xml:space="preserve">Poſſo adunque ragioneuolmente non hauer in <lb/>queſto luogo in conſideratione queſto punto, quale yiene _ex_ <lb/>_profeſſo_ conſiderato, e moſtrata la ſua vanità nel proprio <lb/>luogo. </s> <s xml:id="echoid-s1847" xml:space="preserve">Sig. </s> <s xml:id="echoid-s1848" xml:space="preserve">Conte ſeguiti.</s> <s xml:id="echoid-s1849" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1850" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1851" xml:space="preserve">Non cura il Manfredi delli altri argomenti por-<lb/>tati dal P. </s> <s xml:id="echoid-s1852" xml:space="preserve">Riccioli, e da lei dimoſtrati di niun valore, <lb/>perche forſe hà conoſciuta la loro fieuolezza per poter ri-<lb/>ceuer difeſa. </s> <s xml:id="echoid-s1853" xml:space="preserve">Mà auanti, che paſſi à riſpondere à quelle co-<lb/>ſe dette da noi nel Dialogo ſecondo, nel numero 22. </s> <s xml:id="echoid-s1854" xml:space="preserve">ſà pon-<lb/>deratione ſo pra certa ſua proteſta circa la falſità del ſiſtema <lb/>Copernicano. </s> <s xml:id="echoid-s1855" xml:space="preserve">Dice, che ella non arreca alcuna ragione, <lb/>che facia contro il moto della Terra. </s> <s xml:id="echoid-s1856" xml:space="preserve">Mà hauendo lei ri ſ-<lb/>poſto à queſto punto à ſufficienza nel principio di queſto <lb/>ragionamento, non occorre riſponder altro. </s> <s xml:id="echoid-s1857" xml:space="preserve">E credo, che <lb/>eſſendo l´hora tarda, ſarà bene rimetter il reſto à dimani.</s> <s xml:id="echoid-s1858" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1859" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1860" xml:space="preserve">Queſte tante repliche, ſopra queſto punto mi co-<lb/>minciano à conturbare; </s> <s xml:id="echoid-s1861" xml:space="preserve">ſi facia però come comandano. <lb/></s> <s xml:id="echoid-s1862" xml:space="preserve">Dimanile ſtarò attendendo.</s> <s xml:id="echoid-s1863" xml:space="preserve"/> </p> <pb o="49" file="0061" n="61"/> <figure> <image file="0061-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0061-01"/> </figure> </div> <div xml:id="echoid-div15" type="section" level="1" n="10"> <head xml:id="echoid-head15" xml:space="preserve">DIALOGO QVARTO.</head> <p> <s xml:id="echoid-s1864" xml:space="preserve">MATT. </s> <s xml:id="echoid-s1865" xml:space="preserve">Molto meſto la vedo Sig. </s> <s xml:id="echoid-s1866" xml:space="preserve">Ofreddi queſta ma-<lb/>tina. </s> <s xml:id="echoid-s1867" xml:space="preserve">Gl´è forſe accaduta qualche diſgratia?</s> <s xml:id="echoid-s1868" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1869" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1870" xml:space="preserve">Li par poca diſgratia quella da hieri, nella quale <lb/>ſono incorſo per vn poco diridere, ſenza che me n´accadeſ-<lb/>ſero delle altre?</s> <s xml:id="echoid-s1871" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1872" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1873" xml:space="preserve">E lei Sig. </s> <s xml:id="echoid-s1874" xml:space="preserve">Ofreddi ſi affanna per queſte bagattelle? <lb/></s> <s xml:id="echoid-s1875" xml:space="preserve">Altre coſe dice contro di meil Sig. </s> <s xml:id="echoid-s1876" xml:space="preserve">Manfredi; </s> <s xml:id="echoid-s1877" xml:space="preserve">& </s> <s xml:id="echoid-s1878" xml:space="preserve">in altro mi <lb/>vorrebbe frezzare. </s> <s xml:id="echoid-s1879" xml:space="preserve">Io l´intendo beniſſimo; </s> <s xml:id="echoid-s1880" xml:space="preserve">e tacito conſi-<lb/>dero il ſuo modo di procedere in vna diſputa litteraria; </s> <s xml:id="echoid-s1881" xml:space="preserve">e à <lb/>luogo, e tempo mi ſeruo del prouerbio, che ogni parola <lb/>non vuol riſpoſta. </s> <s xml:id="echoid-s1882" xml:space="preserve">Lo compatiſco però; </s> <s xml:id="echoid-s1883" xml:space="preserve">perche non hauen-<lb/>do ragioni efficaci da addure, vuole almeno dire qualche <lb/>coſa.</s> <s xml:id="echoid-s1884" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1885" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1886" xml:space="preserve">Molto ci reſta da leggere; </s> <s xml:id="echoid-s1887" xml:space="preserve">perciò non perdiamo <lb/>tempo Nel numero 23. </s> <s xml:id="echoid-s1888" xml:space="preserve">reſpondendo ad alcune parole del <lb/>Sig. </s> <s xml:id="echoid-s1889" xml:space="preserve">Profeſſore poſte nella pag. </s> <s xml:id="echoid-s1890" xml:space="preserve">67. </s> <s xml:id="echoid-s1891" xml:space="preserve">dice primieramente, <lb/>che la ſua Aſtronomia Riformata è diuerſiſſima dall´Al-<lb/>mageſto.</s> <s xml:id="echoid-s1892" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1893" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1894" xml:space="preserve">Lo confefſo anch´io; </s> <s xml:id="echoid-s1895" xml:space="preserve">perche dopo hauerla com-<lb/>prata, l´hò ſtudiata con mio gran piacere, & </s> <s xml:id="echoid-s1896" xml:space="preserve">vtilità.</s> <s xml:id="echoid-s1897" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1898" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1899" xml:space="preserve">Hà preueduto queſta ſua confeſſione; </s> <s xml:id="echoid-s1900" xml:space="preserve">perche in <lb/>ricompenſa ſi duole, che leinon habbia ſtipendio molto <lb/>maggiore diquello, che hà.</s> <s xml:id="echoid-s1901" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1902" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1903" xml:space="preserve">Lirendo humiliſſime gratie del ſuo corteſe affetto <lb/>lo ſti pendio però, che hò dalla munificenza del mio Pren-<lb/>cipe naturale ſupera di gran lunga li miei meriti, e le mie <lb/>qualità. </s> <s xml:id="echoid-s1904" xml:space="preserve">E ſe bene il P. </s> <s xml:id="echoid-s1905" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s1906" xml:space="preserve">il Sig. </s> <s xml:id="echoid-s1907" xml:space="preserve">Manfredi me ne <pb o="50" file="0062" n="62"/> ſanno conſumare buona parte in confutare queſie loro ra-<lb/>gioni; </s> <s xml:id="echoid-s1908" xml:space="preserve">ciò poco importa, purche la verità campeggi, e li <lb/>ſemplici reſtino deſingannati.</s> <s xml:id="echoid-s1909" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1910" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1911" xml:space="preserve">Poi diſcorre ſopra la grandezza delle opere com-<lb/>poſte dal P. </s> <s xml:id="echoid-s1912" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s1913" xml:space="preserve">Dice che egli hà voluto raccogliere <lb/>il buouo, e il meglio dalli altri, acciò il Lettore haueſse vn <lb/>intiera Libraria; </s> <s xml:id="echoid-s1914" xml:space="preserve">e coſe ſimili.</s> <s xml:id="echoid-s1915" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1916" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1917" xml:space="preserve">Sia pur benedetto il P. </s> <s xml:id="echoid-s1918" xml:space="preserve">Riccio li, e chi l´hà inſpira-<lb/>to à componer quefti ſuoi libri pieni d´infinite coſe belle, e <lb/>vere; </s> <s xml:id="echoid-s1919" xml:space="preserve">contenendo eſsi vn immenſità d´eruditione. </s> <s xml:id="echoid-s1920" xml:space="preserve">E per-<lb/>che dice Plinio _Benignum eſſe, & </s> <s xml:id="echoid-s1921" xml:space="preserve">plenum ingenui pudoris fa_-<lb/>_teri, per quos profeceris_; </s> <s xml:id="echoid-s1922" xml:space="preserve">10 confeſso, che queſti ſuoi libri ſo-<lb/>no la mia man dritta; </s> <s xml:id="echoid-s1923" xml:space="preserve">perche douendo fare le lettioni in que-<lb/>ſto ſtudio, in eſsi trouo coſe infinite, e diligentemente re-<lb/>giſtrate. </s> <s xml:id="echoid-s1924" xml:space="preserve">E ſe bene eſſi contengono quelle ragioni inſuffi-<lb/>cienti, inneficaci, e paralogizanti, le quali habbiamo conſi-<lb/>derate; </s> <s xml:id="echoid-s1925" xml:space="preserve">quatro grani di Loglio non deuono in conto alcuno <lb/>pregiudicare ad innumerabili miſure di puriſſimo formen-<lb/>to, che contengono.</s> <s xml:id="echoid-s1926" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1927" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1928" xml:space="preserve">Dice nel numero 24. </s> <s xml:id="echoid-s1929" xml:space="preserve">che lei poteua tralaſciare <lb/>tante conſequenze, &</s> <s xml:id="echoid-s1930" xml:space="preserve">c. </s> <s xml:id="echoid-s1931" xml:space="preserve">e che poteua leuare quelle parole, <lb/>che dice [Parmi che alcuno poteſse ſoſpettare, che queſto <lb/>Autore, per hauer la vera opinione ſtimi tanto tutto quello, <lb/>che dice, che ſia quaſi ſacrilegio il contradirci.</s> <s xml:id="echoid-s1932" xml:space="preserve">] Dice che, <lb/>_Per trarre dalle premeſſe queſta conſequenza non baſtarianog li_ <lb/>_argani di Demetrio Poliorceta, nè le machine di Archimede_. <lb/></s> <s xml:id="echoid-s1933" xml:space="preserve">cioè, che perche non habbia voluto nominare quelli due <lb/>ſuoi amici, che ſi ſono oppoſti alle ſue ragioni, ſtimi eſser <lb/>ſacrilegio il contradirle; </s> <s xml:id="echoid-s1934" xml:space="preserve">nega queſta conſequenza con´vn <lb/>Oibò.</s> <s xml:id="echoid-s1935" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1936" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1937" xml:space="preserve">Et io ſtimo, che chi ſoſpettaſse ciò non foſse cosi <lb/>ſuori di ragione, e che poteſse trarre quella confequenza <lb/>con aſsai meno ordegni di vn filo di Ragnina, mentre vedo, <lb/>che chi contradice à queſte ſue gran ragioni, viene ſubito <lb/>ſpacciato da Coperniciſta. </s> <s xml:id="echoid-s1938" xml:space="preserve">Et quel pouero ſuo amico, il <lb/>quale non hà voluto nominare, che diceua contanta verità, <pb o="51" file="0063" n="63"/> che la percoſsa prouenirebbe dal moto in quanto è diſcen-<lb/>ſiuo, e ſubito deſcritto per _Copernic anæ hypotheſi nimis @@_ <lb/>_dictus_.</s> <s xml:id="echoid-s1939" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1940" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1941" xml:space="preserve">O´queſta sì che mi pare vna conſequenza, che <lb/>merita l´Oibò; </s> <s xml:id="echoid-s1942" xml:space="preserve">e che per trarla dalle premeſſe non baſteria-<lb/>no tuttti li in ſtrumenti Mecanici ſemplici, e compoſti. </s> <s xml:id="echoid-s1943" xml:space="preserve">L´a-<lb/>mico del P. </s> <s xml:id="echoid-s1944" xml:space="preserve">Riccioli s´oppone alle ſue ragioni, e dice, che la <lb/>percoſſa fatta dal graue cadente non ſarebbe dal moto cir-<lb/>colare, ſe la Terra ſi moueſſe, mà prouenirebbe dal moto di-<lb/>ſcenſiuo; </s> <s xml:id="echoid-s1945" xml:space="preserve">adunque _eft Copernicanæ hypotheſi nimis addictus_? <lb/></s> <s xml:id="echoid-s1946" xml:space="preserve">Oibò, oibò, oibò.</s> <s xml:id="echoid-s1947" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1948" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1949" xml:space="preserve">In gratia tralaſciamo per hora queſte conſequen-<lb/>ze, &</s> <s xml:id="echoid-s1950" xml:space="preserve">c. </s> <s xml:id="echoid-s1951" xml:space="preserve">perche intendo aſſolutamente, che le repigliamo <lb/>à ſuo luogo, per quella terza cagione regiſtrata nella lettera <lb/>al Lettore, che diſſi eſſer troppo brutta.</s> <s xml:id="echoid-s1952" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1953" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1954" xml:space="preserve">Faciaſi come lei comanda; </s> <s xml:id="echoid-s1955" xml:space="preserve">e tralaſciamo anco ho-<lb/>ra, per ſempre tutto quello, che dice nel numero 25. </s> <s xml:id="echoid-s1956" xml:space="preserve">dando-<lb/>gli anco ragione, ſe la vuole, per non contraſtare. </s> <s xml:id="echoid-s1957" xml:space="preserve">Il noſtro <lb/>principal intento è vedere la validità di quelli argomenti <lb/>Fiſicomattematici, e conſiderare quanta euidenza habbi-<lb/>no. </s> <s xml:id="echoid-s1958" xml:space="preserve">Le coſe appartenenti alle ſacre Scritture le honoro, e <lb/>venero con il più profondo del mio cuore, memore che <lb/>_Pelagus eſt ſacra Scriptura_ dice S. </s> <s xml:id="echoid-s1959" xml:space="preserve">Gregorio Papa, _vbi Ouis_ <lb/>_peditat, Camelus natat;_ </s> <s xml:id="echoid-s1960" xml:space="preserve">e che _Zui ſerutator est maiestatis_ <lb/>_opprimetur àgloria_. </s> <s xml:id="echoid-s1961" xml:space="preserve">Io non facio profeſſione di Theologia, <lb/>e di Sacra Scrittura; </s> <s xml:id="echoid-s1962" xml:space="preserve">nelle quali sò quel tanto, che appar-<lb/>tiene ad vn Chriſtiano Cattolico. </s> <s xml:id="echoid-s1963" xml:space="preserve">Li ſenſi più reconditi ſo-<lb/>no per li Theologi, e Scritturiſti, li quali hanno hauuto que-<lb/>fta vocatione. </s> <s xml:id="echoid-s1964" xml:space="preserve">Io facio profei<unsure/>ſione delle Mattematiche; </s> <s xml:id="echoid-s1965" xml:space="preserve">e <lb/>non tratto che di ragioni Mattematiche, ò Fiſicomattemati-<lb/>che. </s> <s xml:id="echoid-s1966" xml:space="preserve">Se io mi voleſſi ingerire in coſe ſcritturali, haurebbe <lb/>alcuno ragione dirinfacciarmi, _Ne ſutor vltra Crepidam_. <lb/></s> <s xml:id="echoid-s1967" xml:space="preserve">Tralaſciamo adunque Signori miei tutte queſte coſe, e con-<lb/>ſideriamo quello, che appartiene al noſtro principal in-<lb/>tento.</s> <s xml:id="echoid-s1968" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1969" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1970" xml:space="preserve">Nel numero 26. </s> <s xml:id="echoid-s1971" xml:space="preserve">riferiſce la prima ſuppoſitione <pb o="52" file="0064" n="64"/> del P. </s> <s xml:id="echoid-s1972" xml:space="preserve">Riccioli al cap. </s> <s xml:id="echoid-s1973" xml:space="preserve">17. </s> <s xml:id="echoid-s1974" xml:space="preserve">dell´ Aſtron. </s> <s xml:id="echoid-s1975" xml:space="preserve">Riform. </s> <s xml:id="echoid-s1976" xml:space="preserve">che habbia-<lb/>mo conceſsa à cart. </s> <s xml:id="echoid-s1977" xml:space="preserve">73. </s> <s xml:id="echoid-s1978" xml:space="preserve">Torna à replicare molte coſe, che <lb/>hà dette in varij luoghi.</s> <s xml:id="echoid-s1979" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1980" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1981" xml:space="preserve">Non è bene, che l´imitiamo noi con il replicare <lb/>le medeſimer iſpoſte.</s> <s xml:id="echoid-s1982" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1983" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1984" xml:space="preserve">Nel numero 27. </s> <s xml:id="echoid-s1985" xml:space="preserve">riferiſce la ſeconda ſuppoſitione <lb/>del medeſimo P. </s> <s xml:id="echoid-s1986" xml:space="preserve">Riccioli nell´iſteſſo luogo, e v´ aggiunge <lb/>vna narratione dell´eſperienze fatte dalli PP. </s> <s xml:id="echoid-s1987" xml:space="preserve">Riccioli, @ <lb/>Grimaldi. </s> <s xml:id="echoid-s1988" xml:space="preserve">E perche il Sig. </s> <s xml:id="echoid-s1989" xml:space="preserve">Profe@@ore hà conceſſa queſta <lb/>ſuppoſitione, l´ammoniſce à tenerſela bene à mente.</s> <s xml:id="echoid-s1990" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1991" xml:space="preserve">Matt. </s> <s xml:id="echoid-s1992" xml:space="preserve">Non ſi dubiti, che ſe bene hò po ca memoria, non <lb/>mi ſcordarò quanto hò conceſſo vna volta.</s> <s xml:id="echoid-s1993" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1994" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s1995" xml:space="preserve">E ſe per ſorte ſe lo ſcordaſſe, ce lo ramenterò io.</s> <s xml:id="echoid-s1996" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1997" xml:space="preserve">Cont. </s> <s xml:id="echoid-s1998" xml:space="preserve">Nel numero 28. </s> <s xml:id="echoid-s1999" xml:space="preserve">confeſſa il Manfredi nelli calco-<lb/>letti del P. </s> <s xml:id="echoid-s2000" xml:space="preserve">Riccioli eſſerui qualche errorutio, ò cadutogli <lb/>dalla penna, ò del ſtampatore, il quale noi ſi ſareſſimo ver-<lb/>gognati di ponerli à conto. </s> <s xml:id="echoid-s2001" xml:space="preserve">Di più recitale altre trè ſup-<lb/>poſitioni del P. </s> <s xml:id="echoid-s2002" xml:space="preserve">Riccioli, le quali già liconcedeſſimo.</s> <s xml:id="echoid-s2003" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2004" xml:space="preserve">_Nel numero 29. </s> <s xml:id="echoid-s2005" xml:space="preserve">recita l´argomento del P. </s> <s xml:id="echoid-s2006" xml:space="preserve">Riccioli nel_ <lb/>_medeſimo luogo pag. </s> <s xml:id="echoid-s2007" xml:space="preserve">83._ </s> <s xml:id="echoid-s2008" xml:space="preserve">Si T ellus diurna reuolutione moue-<lb/>retur, Globus argillaceus. </s> <s xml:id="echoid-s2009" xml:space="preserve">vnciarum 8. </s> <s xml:id="echoid-s2010" xml:space="preserve">ex altit udine Romano-<lb/>rum pedum 240. </s> <s xml:id="echoid-s2011" xml:space="preserve">per aerem quietum dimiſſus, obliquo deſcenſis <lb/>in terram delaberetur abſque incremento reali, ac Phyſico velo-<lb/>citatis, vel certè nunquam tanto, quanta eſt proportio percuſ-<lb/>ſionis per caſum ex dicta altitudine factæ. </s> <s xml:id="echoid-s2012" xml:space="preserve">_E dice eſſer nel_-<lb/>_P originale del P. </s> <s xml:id="echoid-s2013" xml:space="preserve">Riccioli,_ quantam requirit proportio, <lb/>&</s> <s xml:id="echoid-s2014" xml:space="preserve">c.</s> <s xml:id="echoid-s2015" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2016" xml:space="preserve">Per prouar queſta propoſitione, nella quale conſiſte il <lb/>fondamento d´ogni coſa, eſplica il ſeguente ſchema, nel <lb/>quale T, centro della Terra; </s> <s xml:id="echoid-s2017" xml:space="preserve">T A, ſem diametro; </s> <s xml:id="echoid-s2018" xml:space="preserve">B A, <lb/>240, piedi Romani paſſati dal Globo in vn ſecondo hora-<lb/>rio, & </s> <s xml:id="echoid-s2019" xml:space="preserve">altezza della Torre Aſinella; </s> <s xml:id="echoid-s2020" xml:space="preserve">BD, arco di vn minu-<lb/>to di Equatore diuiſo in 4. </s> <s xml:id="echoid-s2021" xml:space="preserve">archi eguali BH, HI, IK, KD; </s> <s xml:id="echoid-s2022" xml:space="preserve">HT, <lb/>IT, KT, DT, ſemidiametri ſecanti l´arco AC, in quatro <lb/>eguali, &</s> <s xml:id="echoid-s2023" xml:space="preserve">c. </s> <s xml:id="echoid-s2024" xml:space="preserve">HL, ſia 15. </s> <s xml:id="echoid-s2025" xml:space="preserve">piedi; </s> <s xml:id="echoid-s2026" xml:space="preserve">IM, 60. </s> <s xml:id="echoid-s2027" xml:space="preserve">KN, 135. </s> <s xml:id="echoid-s2028" xml:space="preserve">DC, 240. <lb/></s> <s xml:id="echoid-s2029" xml:space="preserve">BL, LM, MN, NC, lince rette.</s> <s xml:id="echoid-s2030" xml:space="preserve"/> </p> <pb o="53" file="0065" n="65"/> <figure> <image file="0065-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0065-01"/> </figure> <p> <s xml:id="echoid-s2031" xml:space="preserve">Dice poi, che nella pag. </s> <s xml:id="echoid-s2032" xml:space="preserve">76. </s> <s xml:id="echoid-s2033" xml:space="preserve">lei ſi conſola, dicendo [Lo-<lb/>dato ſia Dio, non ſarà dunque più circonferenza di circolo.</s> <s xml:id="echoid-s2034" xml:space="preserve">] <lb/>Dice, che la conſequenza zoppica, perche non le ſuppone <lb/>rette in rigore geometrico, mà curue inſenſibilmente diffe-<lb/>rente da quelle; </s> <s xml:id="echoid-s2035" xml:space="preserve">e tali ſarebbero nelli primi 4. </s> <s xml:id="echoid-s2036" xml:space="preserve">ſecondi ho-<lb/>rarij ſe foſſero di curuità circolare; </s> <s xml:id="echoid-s2037" xml:space="preserve">ma dice; </s> <s xml:id="echoid-s2038" xml:space="preserve">_non è però, che_ <lb/>_ſia circolare, potendo eſſer ò parabolica, ò ſpirale come vuole it_ <lb/>_Dialogiſta._</s> <s xml:id="echoid-s2039" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2040" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2041" xml:space="preserve">E´ neceſſario, che torni à conſolarmi di nuouo, e <lb/>dica; </s> <s xml:id="echoid-s2042" xml:space="preserve">Lodato ſia Dio, che il Sig. </s> <s xml:id="echoid-s2043" xml:space="preserve">Manfredi ſarà di nuouo <lb/>neceſſitato à confeſſare, che non ſarà circolare; </s> <s xml:id="echoid-s2044" xml:space="preserve">e ciò dalle <lb/>coſe poſte in queſto luogo. </s> <s xml:id="echoid-s2045" xml:space="preserve">Prima però oſſeruino le ſue pa- <pb o="54" file="0066" n="66"/> roleſoprapoſte. </s> <s xml:id="echoid-s2046" xml:space="preserve">Dice, @on è peròche ſiacircolare. </s> <s xml:id="echoid-s2047" xml:space="preserve">potendo <lb/>eſſer, ò parabolion<unsure/>, ò ſpirale, &</s> <s xml:id="echoid-s2048" xml:space="preserve">c. </s> <s xml:id="echoid-s2049" xml:space="preserve">Mà ſinhoranon hà voluto <lb/>dimoſtrare tutto il contrario? </s> <s xml:id="echoid-s2050" xml:space="preserve">E poifalſo, che poſſa eſſer <lb/>parabolica, mà dineceſſità ſarà ſpirale. </s> <s xml:id="echoid-s2051" xml:space="preserve">Vedendo adunque <lb/>contradir tanto àſe ſteſſo il Sig. </s> <s xml:id="echoid-s2052" xml:space="preserve">Manfredi, per non potermi <lb/>perſuadere, chenon intendi quello, che dice, ſempre <lb/>più mi perſuado, che ſivoglia burlar dinoi.</s> <s xml:id="echoid-s2053" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2054" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2055" xml:space="preserve">Io in queſto luogo voglio interpretare la ſua men-<lb/>te, riducendo li ſuoi detti in buon ſenſo. </s> <s xml:id="echoid-s2056" xml:space="preserve">Credo, che vo-<lb/>glia così intendere. </s> <s xml:id="echoid-s2057" xml:space="preserve">Che eſſendo, ò circolare, ò paraboli-<lb/>ca, ò ſpirale, nel principio del moto nelli quatro ſecondi <lb/>horarij ſarà inſenſibilmente differente da quelle quatro li-<lb/>neerette.</s> <s xml:id="echoid-s2058" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2059" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2060" xml:space="preserve">Beniſſimo Sig. </s> <s xml:id="echoid-s2061" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s2062" xml:space="preserve">Già adunque, chelei fà <lb/>I´Auocato per il Sig. </s> <s xml:id="echoid-s2063" xml:space="preserve">Manfredi, ſi compiacia riſponder per <lb/>eſſo. </s> <s xml:id="echoid-s2064" xml:space="preserve">Meu<unsure/>tre che li archi B H, HI, &</s> <s xml:id="echoid-s2065" xml:space="preserve">c. </s> <s xml:id="echoid-s2066" xml:space="preserve">ſono di 15. </s> <s xml:id="echoid-s2067" xml:space="preserve">ſecondi <lb/>I´vno, e che HL, è 15. </s> <s xml:id="echoid-s2068" xml:space="preserve">piedi, IM, 60. </s> <s xml:id="echoid-s2069" xml:space="preserve">&</s> <s xml:id="echoid-s2070" xml:space="preserve">c. </s> <s xml:id="echoid-s2071" xml:space="preserve">io dimando ſe fa-<lb/>cendoſi ſopra il diametro BT, il ſemicircolo, queſto paſſa-<lb/>rebbe per li punti L, M, N, C; </s> <s xml:id="echoid-s2072" xml:space="preserve">e quante ſarebbe I´ HL, di <lb/>quelle parti, delle quali H T, è 20,000,000,000?</s> <s xml:id="echoid-s2073" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2074" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2075" xml:space="preserve">Mentre in queſto luogo ſono date le medeſime <lb/>coſe, che ſono date in quell´argomento dell´ Almag. </s> <s xml:id="echoid-s2076" xml:space="preserve">cioè <lb/>archi, e ſpatij paſſati, biſogna dire, chelipunti L, M, N, C, <lb/>ſarebbero nella circonferenza del ſemicircolo, almeno proſ-<lb/>ſimamente; </s> <s xml:id="echoid-s2077" xml:space="preserve">e che HL, ſarà 53. </s> <s xml:id="echoid-s2078" xml:space="preserve">di quelle parti.</s> <s xml:id="echoid-s2079" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2080" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2081" xml:space="preserve">Così giudico ahch´io, quando il Sig. </s> <s xml:id="echoid-s2082" xml:space="preserve">Manfredi <lb/>non voglia contradir à ſe medeſimo. </s> <s xml:id="echoid-s2083" xml:space="preserve">Hora ricorriamo alla <lb/>proua del ſeſto ſuppoſto del P. </s> <s xml:id="echoid-s2084" xml:space="preserve">Riccioli poſta dal Sig. </s> <s xml:id="echoid-s2085" xml:space="preserve">Man-<lb/>frediſopra, cart. </s> <s xml:id="echoid-s2086" xml:space="preserve">37. </s> <s xml:id="echoid-s2087" xml:space="preserve">e 38. </s> <s xml:id="echoid-s2088" xml:space="preserve">Non diceiui, che HB, chorda di <lb/>15. </s> <s xml:id="echoid-s2089" xml:space="preserve">ſecondi è 7262205 2. </s> <s xml:id="echoid-s2090" xml:space="preserve">di quelle parti, delle quali il rag-<lb/>gio del gran Canone del Pitiſco è 1000,000,000,000?</s> <s xml:id="echoid-s2091" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2092" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2093" xml:space="preserve">Certo che lo dice.</s> <s xml:id="echoid-s2094" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2095" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2096" xml:space="preserve">Non dice anco, che è 1700. </s> <s xml:id="echoid-s2097" xml:space="preserve">piedi?</s> <s xml:id="echoid-s2098" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2099" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2100" xml:space="preserve">Sì Signore.</s> <s xml:id="echoid-s2101" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2102" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2103" xml:space="preserve">Quante adunque di quelle parti di quel gran rag-<lb/>gio ſarà HL?</s> <s xml:id="echoid-s2104" xml:space="preserve"/> </p> <pb o="55" file="0067" n="67"/> <figure> <image file="0067-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0067-01"/> </figure> <p> <s xml:id="echoid-s2105" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2106" xml:space="preserve">Laregola del trè glie lo dirà. </s> <s xml:id="echoid-s2107" xml:space="preserve">Perche la propor-<lb/>tione, che hà HB, 1700. </s> <s xml:id="echoid-s2108" xml:space="preserve">piedi, à HL, come 15. </s> <s xml:id="echoid-s2109" xml:space="preserve">piedi, la de-<lb/>ue hauere HB, come quelle parti, à HL, come quelle parti. <lb/></s> <s xml:id="echoid-s2110" xml:space="preserve">Moltiplicando adunque il ſecondo per il terzo, e partendo-<lb/>lo per il primo, il quotiente, che ſarà proſſimamente <lb/>640782, farà il numero di quelle parti.</s> <s xml:id="echoid-s2111" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2112" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2113" xml:space="preserve">Eſetroncaremo quel gran raggiodi due note, in <lb/>guiſa che ſia ſolo 10,000,000,000?</s> <s xml:id="echoid-s2114" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2115" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2116" xml:space="preserve">Sarà 6408.</s> <s xml:id="echoid-s2117" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2118" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2119" xml:space="preserve">E ſe radoppiaremo ilraggio, ſi che ſia 20, 000, <lb/>000,000?</s> <s xml:id="echoid-s2120" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2121" xml:space="preserve">Ofred, Sarà 12816.</s> <s xml:id="echoid-s2122" xml:space="preserve"/> </p> <pb o="56" file="0068" n="68"/> <p> <s xml:id="echoid-s2123" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2124" xml:space="preserve">E pure ſe il punto L, hà da eſſere nella circonferen-<lb/>za non può eſser più di 53. </s> <s xml:id="echoid-s2125" xml:space="preserve">Vedè mò Sig. </s> <s xml:id="echoid-s2126" xml:space="preserve">Ofieddi ſe il Sig. <lb/></s> <s xml:id="echoid-s2127" xml:space="preserve">Manfredi può dire coſe più puw<unsure/>ide? </s> <s xml:id="echoid-s2128" xml:space="preserve">Hora ſeguiti Signor <lb/>Conte.</s> <s xml:id="echoid-s2129" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2130" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2131" xml:space="preserve">Nel numero 30. </s> <s xml:id="echoid-s2132" xml:space="preserve">ritroua nel modoſuo la quantità <lb/>delle B L, LM, &</s> <s xml:id="echoid-s2133" xml:space="preserve">c. </s> <s xml:id="echoid-s2134" xml:space="preserve">E dice BL, eſser piedi 1700: </s> <s xml:id="echoid-s2135" xml:space="preserve">1. </s> <s xml:id="echoid-s2136" xml:space="preserve">LM, <lb/>1700:</s> <s xml:id="echoid-s2137" xml:space="preserve">5. </s> <s xml:id="echoid-s2138" xml:space="preserve">MN, 1701:</s> <s xml:id="echoid-s2139" xml:space="preserve">1. </s> <s xml:id="echoid-s2140" xml:space="preserve">N G, 1702:</s> <s xml:id="echoid-s2141" xml:space="preserve">2.</s> <s xml:id="echoid-s2142" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2143" xml:space="preserve">Nelnumero 31. </s> <s xml:id="echoid-s2144" xml:space="preserve">pone ilnumero delli piedi trouati da lei <lb/>con´altra methodo.</s> <s xml:id="echoid-s2145" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2146" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2147" xml:space="preserve">Trouati in vn modo, o nell´altro pocoimporta.</s> <s xml:id="echoid-s2148" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2149" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2150" xml:space="preserve">Nelnumero 32. </s> <s xml:id="echoid-s2151" xml:space="preserve">dice, che dal vedere, che vno ſpa-<lb/>tio non eccede l´altro di vn piede, onde non vi è accelera-<lb/>tione di momento, che poſſa paragonarſi con la diuerſità <lb/>della percoſſa, hebbe ragione diconcludere con queſte pa-<lb/>role. </s> <s xml:id="echoid-s2152" xml:space="preserve">_Phyſicè tamen perinde eſſet, ac ſivniformi æqualitate de-_ <lb/>_ſcendiſſet._ </s> <s xml:id="echoid-s2153" xml:space="preserve">Quà eſclama. </s> <s xml:id="echoid-s2154" xml:space="preserve">_Che dirà quì il Dialogiſta?_ </s> <s xml:id="echoid-s2155" xml:space="preserve">E per-<lb/>che non baſta eſclamar v<unsure/>na volta ſola, ci aggiunge la ſecon-<lb/>da. </s> <s xml:id="echoid-s2156" xml:space="preserve">_Che dirà?_ </s> <s xml:id="echoid-s2157" xml:space="preserve">Poi riferiſce alcune ſue parole poſte nella pag. <lb/></s> <s xml:id="echoid-s2158" xml:space="preserve">81. </s> <s xml:id="echoid-s2159" xml:space="preserve">cioè [Pouero il mondo, ſe mouendoſi la Terrà, foſſe <lb/>ilmedeſimo. </s> <s xml:id="echoid-s2160" xml:space="preserve">Midica in gratia Sig. </s> <s xml:id="echoid-s2161" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s2162" xml:space="preserve">Crede ella, che <lb/>ſe con moto equabile lanciaſi queſto Calamaro nel capo ad <lb/>alcuno, che li farei ſeruizio] Interroga poi poco dopo. </s> <s xml:id="echoid-s2163" xml:space="preserve">_Ma_ <lb/>_quando mai il P. </s> <s xml:id="echoid-s2164" xml:space="preserve">Riccioli hà detto, che per mouer ſiegualmente vn<unsure/>_ <lb/>_mobile contro vno ſcopo fermo, ò non fuggitiuo tanto quanto bi-_ <lb/>_ſognarebbe, non lo colpiſc<unsure/>e conpercoſſa ſenſibile?_</s> <s xml:id="echoid-s2165" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2166" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2167" xml:space="preserve">Io non sò, che habbiamo mai detto, che egli così <lb/>habbia detto; </s> <s xml:id="echoid-s2168" xml:space="preserve">onde non sò vedere d´onde caui queſta inter-<lb/>rogatione.</s> <s xml:id="echoid-s2169" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2170" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2171" xml:space="preserve">Quà ingenuamente confeſſo, che in quelle mie pa-<lb/>role non mi ſono eſplicato à ſufficienza. </s> <s xml:id="echoid-s2172" xml:space="preserve">E ſe bene però cre-<lb/>do, che cadauno poſſa hauer tanto diſcorſo, che vaglia pe-<lb/>netrare li miei ſenſi, nulladimeno parlerò più chiaro; </s> <s xml:id="echoid-s2173" xml:space="preserve">e que-<lb/>ſta è la ſoſtanza. </s> <s xml:id="echoid-s2174" xml:space="preserve">Voi P. </s> <s xml:id="echoid-s2175" xml:space="preserve">Riccioli ditte, che nel ſiſtema Co-<lb/>pernicano nel diſcender il graue farebbe per la retta, ò cur-<lb/>ua BL, pie di 1700. </s> <s xml:id="echoid-s2176" xml:space="preserve">in vn ſecondo horario. </s> <s xml:id="echoid-s2177" xml:space="preserve">Pouero il mon-<lb/>do ſe percoteſſe con tutta queſta velocìtà ilſottopoſto piano <pb o="57" file="0069" n="69"/> <anchor type="figure" xlink:label="fig-0069-01a" xlink:href="fig-0069-01"/> nel punto L. </s> <s xml:id="echoid-s2178" xml:space="preserve">Sicome pouero, emiſero ſarebbe quello, che <lb/>foſſe neceſſitato, ſtando immobile, ad aſpettare ilmoto cir-<lb/>colare della cima della Torre, benche equabile. </s> <s xml:id="echoid-s2179" xml:space="preserve">Nonrice-<lb/>uendo adunque il ſottopoſto piano tutta la percoſſa proue-<lb/>niente da tutta queſta velocità, mà vna minima particella; <lb/></s> <s xml:id="echoid-s2180" xml:space="preserve">& </s> <s xml:id="echoid-s2181" xml:space="preserve">eſſendo vero, che quelle coſe, le quali ſi muouono e<unsure/>gual-<lb/>mente verſo la medeſima parte non ſi percuotono, e fanno <lb/>l´iſteſſo come ſe non ſi moueſſero; </s> <s xml:id="echoid-s2182" xml:space="preserve">biſogna adunque dire, <lb/>che quelmoto, il quale cagionarebbe la percoſſa nel ſotto-<lb/>poſto piano foſſe quello, del quale eſſo non ſi muoue. </s> <s xml:id="echoid-s2183" xml:space="preserve">Ho-<lb/>ra il mobile ſi mouerebbe di due moti prouenienti da due. </s> <s xml:id="echoid-s2184" xml:space="preserve"><lb/>diuerſi principij; </s> <s xml:id="echoid-s2185" xml:space="preserve">cioè circolare proueniente dalla commu- <pb o="58" file="0070" n="70"/> ne cagione del moto diurno della Terra, e dello all´ingiù <lb/>deriuato dalla grauità. </s> <s xml:id="echoid-s2186" xml:space="preserve">Il primo non fà effetto alcuno nel <lb/>ſottopoſto piano; </s> <s xml:id="echoid-s2187" xml:space="preserve">perche il graue arriuato in L, ſi mouerebbe <lb/>circolarmente cõ la medema velocità del ſottopoſto piano. <lb/></s> <s xml:id="echoid-s2188" xml:space="preserve">Quello adunque, che farebbe effetto, ſaria il moto all´ingiù <lb/>del graue proueniente dalla grauità, del qual moto nè è to-<lb/>talmente priuo il ſottopoſto piano. </s> <s xml:id="echoid-s2189" xml:space="preserve">Mà queſto moto all´in-<lb/>giù originato dalla grauità, ſiaccelera conforme la propor-<lb/>tione delli quadrati delli tempi, e non è equabile; </s> <s xml:id="echoid-s2190" xml:space="preserve">adunque <lb/>deue anco cagionare diue@ſe percuſſroni; </s> <s xml:id="echoid-s2191" xml:space="preserve">&</s> <s xml:id="echoid-s2192" xml:space="preserve">c. </s> <s xml:id="echoid-s2193" xml:space="preserve">Queſto è il <lb/>mio diſcor ſo. </s> <s xml:id="echoid-s2194" xml:space="preserve">Che<unsure/> dite adunque Sig. </s> <s xml:id="echoid-s2195" xml:space="preserve">Manfiedi? </s> <s xml:id="echoid-s2196" xml:space="preserve">Voi ad-<lb/>ducete in campo con il P. </s> <s xml:id="echoid-s2197" xml:space="preserve">Riccioli il moto per linea curua, il <lb/>quale riſultarebbe dalla compoſitione di quelli due moti, <lb/>quando la Terra ſi moueſſe, quaſi che queſto habbia che fa-<lb/>re con la percoſſa; </s> <s xml:id="echoid-s2198" xml:space="preserve">mà queſta è vn nulla in paragone di <lb/>quello douerebbe eſſere, quando da eſſo foſſe cagionata, <lb/>mercè la ſua gran velocità. </s> <s xml:id="echoid-s2199" xml:space="preserve">Non cagionando adunque <lb/>queſto la percoſla, meno hà che fare coneſſo la ſua equa-<lb/>bilità.</s> <s xml:id="echoid-s2200" xml:space="preserve"/> </p> <div xml:id="echoid-div15" type="float" level="2" n="1"> <figure xlink:label="fig-0069-01" xlink:href="fig-0069-01a"> <image file="0069-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0069-01"/> </figure> </div> <p> <s xml:id="echoid-s2201" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2202" xml:space="preserve">Nel numero 33. </s> <s xml:id="echoid-s2203" xml:space="preserve">dice in ſoſtanza, che il moto del <lb/>graue ſarebbe equabile, & </s> <s xml:id="echoid-s2204" xml:space="preserve">accelerato in apparenza, non <lb/>alli occhi dichi foſſe fuori della Terra, & </s> <s xml:id="echoid-s2205" xml:space="preserve">Aria terreſtre, mà <lb/>all´occhio di chi ſi moueſſe con la Terra. </s> <s xml:id="echoid-s2206" xml:space="preserve">E perche queſta fù <lb/>la riſpoſta, che diede all´hora per parte del P. </s> <s xml:id="echoid-s2207" xml:space="preserve">Riccioli il Sig. <lb/></s> <s xml:id="echoid-s2208" xml:space="preserve">Ofreddi, e lei interrogò, che coſa foſſe queſta apparenza, e <lb/>fe _in rei veritate_ quando il graue foſſe nelli punti L,M,N,C, <lb/>foſſe lontano dalli punti H,I,K,D, per le rette HL, IM, &</s> <s xml:id="echoid-s2209" xml:space="preserve">c. </s> <s xml:id="echoid-s2210" xml:space="preserve"><lb/>al che riſpondendo il Sig. </s> <s xml:id="echoid-s2211" xml:space="preserve">Ofreddi, che ſarebbe lontano <lb/>_in rei veritate_, queſta riſpoſta è lodata dal Sig. </s> <s xml:id="echoid-s2212" xml:space="preserve">Manfredi, <lb/>dicendo, _Gli riſponde, e moliebene l´ofreddi._</s> <s xml:id="echoid-s2213" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2214" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2215" xml:space="preserve">Hora sì, che gliporgo la mapo, e mi ſcordo di <lb/>quel negotio delli ſuperiori.</s> <s xml:id="echoid-s2216" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2217" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2218" xml:space="preserve">E perche lei foggiunge [Adunque fiſicamente ſi <lb/>ſarebbe moſſo all´ingiù conmoto accelerato ſecondo li <lb/>quadrati de tempi,] ſoggiunge anch´egli. </s> <s xml:id="echoid-s2219" xml:space="preserve">_Queſta conſe-_ <lb/>_quenza è tantofalſa, quantofalſo, che il mobile ſi moueſſe real-_ <pb o="59" file="0071" n="71"/> <anchor type="figure" xlink:label="fig-0071-01a" xlink:href="fig-0071-01"/> _mente allo ingiù per quella, ò quelle linee rette perpendicolari_, <lb/>_nelle quali apparirebbe l´acceler atione ſecondo li quadrati de_ <lb/>_tempi_.</s> <s xml:id="echoid-s2220" xml:space="preserve"/> </p> <div xml:id="echoid-div16" type="float" level="2" n="2"> <figure xlink:label="fig-0071-01" xlink:href="fig-0071-01a"> <image file="0071-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0071-01"/> </figure> </div> <p> <s xml:id="echoid-s2221" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2222" xml:space="preserve">Mà noi diciamo, che l´è veriſsimo, che il graue ſi <lb/>mouerebbe real nente allo ingiù per la perpendicol are <lb/>traſportata dal moto diurno; </s> <s xml:id="echoid-s2223" xml:space="preserve">adunque, &</s> <s xml:id="echoid-s2224" xml:space="preserve">c. </s> <s xml:id="echoid-s2225" xml:space="preserve">Così habbia-<lb/>mo all´hora prouato, e dinuouo confermaremo.</s> <s xml:id="echoid-s2226" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2227" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2228" xml:space="preserve">Dice poi, eſser altro trouarſi nei punti L, M, N, C, <lb/>delle perpendicolari H T, I T, &</s> <s xml:id="echoid-s2229" xml:space="preserve">c. </s> <s xml:id="echoid-s2230" xml:space="preserve">& </s> <s xml:id="echoid-s2231" xml:space="preserve">in eſſe trouarſi il mo-<lb/>bile tanto lontano, quanto ſono li ſpatij HL, IM, &</s> <s xml:id="echoid-s2232" xml:space="preserve">c. </s> <s xml:id="echoid-s2233" xml:space="preserve">(le <lb/>quali coſe ſono veriſsime,) & </s> <s xml:id="echoid-s2234" xml:space="preserve">altro l´eſſerſi moſlo per quel-<lb/>le linee; </s> <s xml:id="echoid-s2235" xml:space="preserve">il che poi è falſo. </s> <s xml:id="echoid-s2236" xml:space="preserve">Et in confirmatione porta alcu- <pb o="60" file="0072" n="72"/> ne parole del Galileo, da elso in ciò lodato.</s> <s xml:id="echoid-s2237" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2238" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2239" xml:space="preserve">Vedono Signori? </s> <s xml:id="echoid-s2240" xml:space="preserve">Chi vuol eſser lodato dal Sig. <lb/></s> <s xml:id="echoid-s2241" xml:space="preserve">Manfredi, biſogna dir à ſuo modo.</s> <s xml:id="echoid-s2242" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2243" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2244" xml:space="preserve">Sò anch´io, che altro è eſser in quelli punti lonta-<lb/>no da quelli della circonferenza per quelle diſtanze, & </s> <s xml:id="echoid-s2245" xml:space="preserve">al-<lb/>tro eſserſi moſso per quelle linee. </s> <s xml:id="echoid-s2246" xml:space="preserve">Mà perche non ſi può eſ-<lb/>ſer in quelli punti, lontano da quelli altri per quelle diſtan-<lb/>ze, quando il graue non ſia realmente diſceſo per quella <lb/>perpendicolare fiſica traſportata per tutte quelle altre; </s> <s xml:id="echoid-s2247" xml:space="preserve">per-<lb/>ciò precedendo la diſceſa come cauſa dell´ eſser in quelli <lb/>punti, ſi riſponde così. </s> <s xml:id="echoid-s2248" xml:space="preserve">Che che dica poi il Galileo, che <lb/>honoro, e venero, ſtimo, che non poſsa eſser vero, ſe non <lb/>quello, che dico io.</s> <s xml:id="echoid-s2249" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2250" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2251" xml:space="preserve">Portá poi vna ſimilitudine à ſuo propoſito_. </s> <s xml:id="echoid-s2252" xml:space="preserve">E chi <lb/>può mai dire con verità, che le parti della circonferenza di vna <lb/>ruota girante, circa il ſuo aſſe immobile, come le raote de gl´ho-<lb/>rologi, ò de gli aguZza cortelli, per diſcender dal ſommo ver ſo <lb/>il piano dell´OriZonte, e trouarſi in diuerſi punti de perpendico-<lb/>lari imaginariamente tir ate all´ OriZonte per queſto camino per <lb/>quelle deſcriuendo vn moto retto oltre il circolare?</s> <s xml:id="echoid-s2253" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2254" xml:space="preserve">Oſred. </s> <s xml:id="echoid-s2255" xml:space="preserve">Queſta mi pare vna ſimilitudine, che zoppichi <lb/>tanto, che non sò quali ſoſtegnila poſſino far ſtar dritta anco <lb/>per vn poco.</s> <s xml:id="echoid-s2256" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2257" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2258" xml:space="preserve">Haurebbe qualche ſimilitudine, quando girando <lb/>la ruota circa il proprio centro, vn graue diſcendeſse verſo <lb/>quello, e foſse portato in giro da vn ſuo ſemidiametro.</s> <s xml:id="echoid-s2259" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2260" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2261" xml:space="preserve">Hora dice egli, che_ Può bene vn mobile ſcender <lb/>all´ingiù in virtù della ſua gr auità, & </s> <s xml:id="echoid-s2262" xml:space="preserve">eßer portato da vn´al-<lb/>tro mobile à trauer ſoin guiſa, che ſi muoua eſſo con moto retto, <lb/>e ſia portato dall´ altro obliquamente.</s> <s xml:id="echoid-s2263" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2264" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2265" xml:space="preserve">Hora queſto medeſimo ſuccede nel caſo noſtro; <lb/></s> <s xml:id="echoid-s2266" xml:space="preserve">perche il mobile ſi muoue allo ingiù moſso dalla propria <lb/>grauità, & </s> <s xml:id="echoid-s2267" xml:space="preserve">è portato in giro dal moto diurno.</s> <s xml:id="echoid-s2268" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2269" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2270" xml:space="preserve">Nega però, che_ vn iſteſſo mobile poſſi con due moti <lb/>reali caminare eſſo ſteſſo continuamente per vna via, che inſie-<lb/>me ſiaretta all ingiù, e curua à trauerſo; </s> <s xml:id="echoid-s2271" xml:space="preserve">màſibcne per vna <pb o="61" file="0073" n="73"/> curua piegata all´ingiù, e tale, che inſieme giri, e diſcenda.</s> <s xml:id="echoid-s2272" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2273" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2274" xml:space="preserve">Vn mobile medeſimo può muouerſi all´ingiù in <lb/>virtù della grauità; </s> <s xml:id="echoid-s2275" xml:space="preserve">ragirarſiin virtù del moto diurno; </s> <s xml:id="echoid-s2276" xml:space="preserve">e <lb/>da queſti due moti fiſici, ereali prouenienti da due princi-<lb/>pij fiſici, e reali, e diuerſiſſimi, come quelli, che l´vno può <lb/>ſtare ſenza l´altro, reſultarne vna terza linea curua nel ſpa-<lb/>tio mondano.</s> <s xml:id="echoid-s2277" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2278" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2279" xml:space="preserve">Seio hò bene inteſo le parole del Sig. </s> <s xml:id="echoid-s2280" xml:space="preserve">Manfredi <lb/>ſoprapoſte, può eſser vero queſto, quando che vn mobile <lb/>foſse moſso con due moti, vno proueniente da virtù intrin-<lb/>feca, l´altro da forza eſtrinſeca; </s> <s xml:id="echoid-s2281" xml:space="preserve">ma che ambidue queſti mo-<lb/>tiprouenghino da principio intrinſeco, ò queſto nò. </s> <s xml:id="echoid-s2282" xml:space="preserve">Se il <lb/>graue diſcende per la propria grauità, e ſia portato in giro <lb/>da virtù eſtrinſeca, và bene; </s> <s xml:id="echoid-s2283" xml:space="preserve">mà che tutti due li principij mo-<lb/>uenti ſijno intrinſeci non può ſtare.</s> <s xml:id="echoid-s2284" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2285" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2286" xml:space="preserve">Io non sò vedere, che differenza vi poſſi eſsere, ſij-<lb/>no li principij intrin ſeci, ò eſtrinſeci, pure che trà ſe ſijno di-<lb/>ſparati, e diuerſi. </s> <s xml:id="echoid-s2287" xml:space="preserve">Vn ſolo principio mouente non può mo-<lb/>uer che ad vn modo; </s> <s xml:id="echoid-s2288" xml:space="preserve">due diuerſi in due modi, e da queſti <lb/>due moti ne può re ſultare vn terzo.</s> <s xml:id="echoid-s2289" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2290" xml:space="preserve">Mà notino in gratia loro Signori vn penſiero, che mi è na-<lb/>to ho hora. </s> <s xml:id="echoid-s2291" xml:space="preserve">Hò oſseruato più volte, che cadendo vn graue <lb/>dall´alto, quaſi mai mantiene quel ſito, che haueua nel prin-<lb/>cipio del moto quanto alle parti del mondo, mà ſi ragira, e <lb/>varia. </s> <s xml:id="echoid-s2292" xml:space="preserve">Hò ſempre creduto, che queſta titubatione gli foſse <lb/>cagionata dal mezo, che reſiſte alla diuiſione, e cacciamen-<lb/>to dal proprio luogo. </s> <s xml:id="echoid-s2293" xml:space="preserve">Hora credo, che ſi poſſi anco indaga-<lb/>re vn´altra cagione, & </s> <s xml:id="echoid-s2294" xml:space="preserve">eſperimentare ſe tale ſia. </s> <s xml:id="echoid-s2295" xml:space="preserve">Tutti que-<lb/>ſti noſtri corpi, come ſobole della Terra, credo che parteci-<lb/>pino della virtù calamitica, in virtù della quale hanno li lo-<lb/>ro Poli, con li quali ſi regolano alli Poli del mondo; </s> <s xml:id="echoid-s2296" xml:space="preserve">in alcu-<lb/>ni queſto effetto è maniŕeſti ſſimo, in altri meno, in altri inno-<lb/>ſeruabile. </s> <s xml:id="echoid-s2297" xml:space="preserve">Hora potrebbe eſsere, che il graue cadente titu-<lb/>baſse, e ſe ragiraſse in ſe ſteſso per aggiuſtarſi alla propria <lb/>poſitura, che richiede la ſua natura, e ſito; </s> <s xml:id="echoid-s2298" xml:space="preserve">Quelli che atten-<lb/>dono ad eſperienze potrebbero con diletto, e frutto oſser- <pb o="62" file="0074" n="74"/> uar queſto, laſciando cader da alto pezetti di Calamita, ò di <lb/>Ferro, ò facendoli anco ſcender per acqua, ò altri liquidi, e <lb/>notare ſe ſi aggiuſtaſsero, per quanto poteſsero, al ſuo ſito <lb/>naturale riferito alli Poli del mondo. </s> <s xml:id="echoid-s2299" xml:space="preserve">Come hò detto, que-<lb/>ſto penſiero mi naſce hor hora; </s> <s xml:id="echoid-s2300" xml:space="preserve">e ſe bene non sò per eſperien-<lb/>za. </s> <s xml:id="echoid-s2301" xml:space="preserve">che così debba ſuccedere, lo detta però la ragione, & </s> <s xml:id="echoid-s2302" xml:space="preserve">il <lb/>diſeorſo mi perſuade, che ciò non ſia improbabile.</s> <s xml:id="echoid-s2303" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2304" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2305" xml:space="preserve">Mà quando anco ciò ſuccedeſse, coſa ne acquiſta-<lb/>rebbe al noſtro propoſito?</s> <s xml:id="echoid-s2306" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2307" xml:space="preserve">Matt, Non hò tocco queſta dottrina, perche quando così <lb/>non ſuccedeſse, non foſse vero quanto habbiamo detto di <lb/>ſopra; </s> <s xml:id="echoid-s2308" xml:space="preserve">mà perche maggiormente ſi veriſicarebbe, che quan-<lb/>do li princ ipij ſono diuerſi, poco importa, che ſijno intrinſe-<lb/>ci, ò eſtrinſeci, acciò ogn´ vno di loro facia il ſuo officio; <lb/></s> <s xml:id="echoid-s2309" xml:space="preserve">perche in queſto caſo, la grauità, e virtù giratiua verſo i Poli <lb/>del mondo nel corpo cadente ſono ambidue principij in-<lb/>trinſeci, e pure fanno il loro effetto nel medeſimo tempo, l´-<lb/>vno di condure allo ingiù, l´altro di diriger alli Poli.</s> <s xml:id="echoid-s2310" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2311" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2312" xml:space="preserve">Se bene parmi degna di conſideratione la dottri-<lb/>na motiuata, nulladimeno nè 10 credo, che ſia neceſſaria <lb/>per conſirmare queſta propoſitione, che io ſtimo euidentiſ-<lb/>ſima. </s> <s xml:id="echoid-s2313" xml:space="preserve">Cadono infiniti, per loro ſciagura, da qualche altez-<lb/>za. </s> <s xml:id="echoid-s2314" xml:space="preserve">La grauità li porta al precipitio; </s> <s xml:id="echoid-s2315" xml:space="preserve">e pure poſſono nel ca-<lb/>dere muouere con la virtù animaſtica tutto, ò parte del cor-<lb/>po. </s> <s xml:id="echoid-s2316" xml:space="preserve">Queſti due moti diuerſinel medeſimo mobile ſono da <lb/>principij intrinſeci diuerſi.</s> <s xml:id="echoid-s2317" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2318" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2319" xml:space="preserve">Souuienmi di vn eſſempio mediocremente confa-<lb/>ceuole à queſto propoſito. </s> <s xml:id="echoid-s2320" xml:space="preserve">Hò oſſeruato ſpeſſe volte à Ve-<lb/>netia gettarſi giù dalli Ponti li huomini per nuotare nell´-<lb/>Acqua l´Eſtate. </s> <s xml:id="echoid-s2321" xml:space="preserve">Et hò oſſeruato con diletto, che nel lanciarſi <lb/>alzano le braccia dritte al Cielo; </s> <s xml:id="echoid-s2322" xml:space="preserve">e quando ſono vicini all´-<lb/>Acqua prendono con le mani vnite le genocchia, & </s> <s xml:id="echoid-s2323" xml:space="preserve">in que-<lb/>ſta guiſa ranichiati in vn groppo cadononell´ Acqua, e co-<lb/>sì vniti, e raccolti euitano la grandezza della percoſſa nel-<lb/>l´Acqua, che in altra guiſa più li offenderebbe. </s> <s xml:id="echoid-s2324" xml:space="preserve">Hora nell´-<lb/>abbaſſar le mani già alzate per préder le ginocchia, il brac- <pb o="63" file="0075" n="75"/> cio facendo centro nell´attaccatura con la ſpa Ha, come ſe-<lb/>midiametro deſcriue vn ſettore di circolo La mano adun-<lb/>que ſi muoue circolarmenre per la virtù animaſtica; </s> <s xml:id="echoid-s2325" xml:space="preserve">diſcen-<lb/>de per la grauità; </s> <s xml:id="echoid-s2326" xml:space="preserve">e da queſti due moti ſi deſcriuerà vn´ altra <lb/>linea diuerſa dall´vna, e dall´altra.</s> <s xml:id="echoid-s2327" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2328" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2329" xml:space="preserve">Pure à me hora ſouuiene di vn´eſſempio, ſtimo <lb/>molto proprio à fimil propoſito. </s> <s xml:id="echoid-s2330" xml:space="preserve">La circulatione del ſangue <lb/>è hora tanro certa, quant´è certa la natura medeſima. </s> <s xml:id="echoid-s2331" xml:space="preserve">Se mo-<lb/>uendoſi queſto per vene diſteſe per la lunghezza del brac-<lb/>cio, ò dalla ſpalla verſo la mano, ò da queſta alla ſpalla, te-<lb/>nendo il braccio teſo lo moueremo circolarmente in sù, <lb/>ouero in giù, il ſangue ſcorrerà per la vena con il ſuo moto <lb/>naturale, e ſarà portato dal braccio circolarmente pur da <lb/>principio intrinſeco; </s> <s xml:id="echoid-s2332" xml:space="preserve">e con queſti due moti nel ſpatio mon-<lb/>dano ſaranno deſcritte ſpirali, ò principianti dal centro, ò <lb/>dalla circonferenza.</s> <s xml:id="echoid-s2333" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2334" xml:space="preserve">Ma paſſiamo al numero 34, nel quale dice il Sig. </s> <s xml:id="echoid-s2335" xml:space="preserve">Manfre-<lb/>di, che _Non occorrebbe riſpondere alle oppoſioncelle del Dialo-_ <lb/>_giſta poſte nelle pag. </s> <s xml:id="echoid-s2336" xml:space="preserve">85. </s> <s xml:id="echoid-s2337" xml:space="preserve">è 86. </s> <s xml:id="echoid-s2338" xml:space="preserve">pure breuemente dice, che il mobile_ <lb/>_con la caduta deſcriuerebbe vna ſola linea curua, mà nel princi-_ <lb/>_pio del moto, cioè ne i primi 4. </s> <s xml:id="echoid-s2339" xml:space="preserve">ſecondi d´hora inſenſibilmente_ <lb/>_dinerſa da vna linea compartita in quatro linee rette, quanto_ <lb/>_alla quantità de piedi_. </s> <s xml:id="echoid-s2340" xml:space="preserve">Dice anco, che ſi hauerebbe potuto <lb/>diuider il tempo in parti più minime; </s> <s xml:id="echoid-s2341" xml:space="preserve">mà che ſono ſtate <lb/>ſufficienti quelle quatro, e che ſaria ſtata vna ſottigliezza <lb/>inutile. </s> <s xml:id="echoid-s2342" xml:space="preserve">Che però queſta ſemita non ſarebbe ſtata vn Pro-<lb/>teo, mà vna ſola linea curua, &</s> <s xml:id="echoid-s2343" xml:space="preserve">c.</s> <s xml:id="echoid-s2344" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2345" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2346" xml:space="preserve">La linea, che deſcriuerebbe il mobile ſarebbe vna <lb/>ſpirale diuerſiſſima dalla circolare, alla quale io non sò <lb/>qual proportione habbino le chorde delle ſue parti. </s> <s xml:id="echoid-s2347" xml:space="preserve">Mà <lb/>habbino, che proportione eſſer ſi voglia, & </s> <s xml:id="echoid-s2348" xml:space="preserve">eſſendo anco le <lb/>curue ad eſſe corriſpondentieguali, ciò poco importa. </s> <s xml:id="echoid-s2349" xml:space="preserve">Io <lb/>sò di certo, che ſarebbero tanto maggiori, quanto più ſi <lb/>ſcoſtaſsero dal principio. </s> <s xml:id="echoid-s2350" xml:space="preserve">E ben che non crefcefsero con <lb/>quella proportione delli quadrati dellitempi; </s> <s xml:id="echoid-s2351" xml:space="preserve">ciò poco, ò <lb/>nulla importarebbe per la diuerſità delle percuſſioni, le <pb o="64" file="0076" n="76"/> quali deriuando dalla direttione all´ingiù, e queſta accele-<lb/>randoſi come li quadrati delli tempi, quindiè, che la per-<lb/>coſsa s´andaria ingrandendo con quella proportione.</s> <s xml:id="echoid-s2352" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2353" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2354" xml:space="preserve">Quì s´apparecchia ad eſsa minare quello, che lei <lb/>dice; </s> <s xml:id="echoid-s2355" xml:space="preserve">cioè che il mobile ſi mouerebbe per vna linea per-<lb/>pendicolare, &</s> <s xml:id="echoid-s2356" xml:space="preserve">c. </s> <s xml:id="echoid-s2357" xml:space="preserve">Per tanro nel numero 35. </s> <s xml:id="echoid-s2358" xml:space="preserve">dice, che _Hauen-_ <lb/>_do il P. </s> <s xml:id="echoid-s2359" xml:space="preserve">Riccioli nell´ Astronomia Riformata pag._ </s> <s xml:id="echoid-s2360" xml:space="preserve">83. </s> <s xml:id="echoid-s2361" xml:space="preserve">_num._ </s> <s xml:id="echoid-s2362" xml:space="preserve">12. <lb/></s> <s xml:id="echoid-s2363" xml:space="preserve">_riferito ad vn ſuo amico aſfetionato al Siſtema Copernicano. </s> <s xml:id="echoid-s2364" xml:space="preserve">Vt_ <lb/>_proportionem velocitatis percuſſionis proportioni debit am tue-_ <lb/>_retur, aiebat percuſſionem àgraui non vi motus circularis, a@_ <lb/>_diurni fieri, ſed vi motus proprij à grauitate facti, & </s> <s xml:id="echoid-s2365" xml:space="preserve">quate-_ <lb/>_nus eſt diſcenſiuus, quod veriſſimè dicebat._ </s> <s xml:id="echoid-s2366" xml:space="preserve">Lei penſa, che <lb/>quel _veriſſimè_ facia per ſe; </s> <s xml:id="echoid-s2367" xml:space="preserve">e così dice à car. </s> <s xml:id="echoid-s2368" xml:space="preserve">87 [Se dun-<lb/>que è veriſſimo, che la percoſsa prouenga dal graue, non <lb/>in virtù del moto circolare, e diurno, ma per virtù del moto <lb/>fatto dalla grauità, e in quanto è diſcenſiuo; </s> <s xml:id="echoid-s2369" xml:space="preserve">& </s> <s xml:id="echoid-s2370" xml:space="preserve">eſsendo que-<lb/>ſto accelerato conforme li quadrati delli tempi; </s> <s xml:id="echoid-s2371" xml:space="preserve">biſogna <lb/>anco ſucceda maggior percoſsa, e ſuono] Dice che, _quì ſot-_ <lb/>_to stà naſcoſto vn grand Equiuoeo, ouero fallacia di conuerſione._ </s> <s xml:id="echoid-s2372" xml:space="preserve"><lb/>_Perche non ogni moto diſcenſſiuo, quantunque prouenga in quan-_ <lb/>_to diſcenſſiuo dalla grauità, ſi accelera ſecondo li quadrati de_ <lb/>_tempi._ </s> <s xml:id="echoid-s2373" xml:space="preserve">Il diſcenſſiuo rettilineo per vna ſola perpendicolare <lb/>ſi accelera realmente nel Siſtema della Terra immobile. </s> <s xml:id="echoid-s2374" xml:space="preserve">Mà <lb/>il diſcenſſiuo per vnà curua nel ſiſtema della Terra mobile <lb/>non ſi accelerarebbe che in apparenza ſecondo li quadrati <lb/>delli tempi. </s> <s xml:id="echoid-s2375" xml:space="preserve">Hora per che il moto circolare impediſce quel-<lb/>lo all´ingiù, e ſnerua la forza proueniente dalla grauità, <lb/>quindi è, che ſe bene dalla grauità, e non dal moto circo-<lb/>lare hà la formalità dell´eſser diſcenſſiuo, non habbia però <lb/>_larealità dell´ eſſer attualmente diſcendente per vna retta_ <lb/>_linea._</s> <s xml:id="echoid-s2376" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2377" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2378" xml:space="preserve">Non credo, che queſto Equiuoco, ò fallacia hab-<lb/>bia altro eſsere, che nell´imaginatione del Sig. </s> <s xml:id="echoid-s2379" xml:space="preserve">Manfredi. </s> <s xml:id="echoid-s2380" xml:space="preserve">Si <lb/>muoua, ò non ſi muoua la Terra, ſempre ſcendeil graue per <lb/>vna linea fiſica, e perpendicolare. </s> <s xml:id="echoid-s2381" xml:space="preserve">Se la Terra è immobile; <lb/></s> <s xml:id="echoid-s2382" xml:space="preserve">come veramente è, diſcende il graue acceleratamente per <pb o="65" file="0077" n="77"/> vna perpendic olare immobile. </s> <s xml:id="echoid-s2383" xml:space="preserve">Mà i<unsure/>e la Terra ſi moueſſe, <lb/>diſcenderebbe per vna perpendicolare fiſica moſſa con´ il <lb/>medeſimo mot o circolare della Terra. </s> <s xml:id="echoid-s2384" xml:space="preserve">Non vi ſarebbe al-<lb/>tra differenza. </s> <s xml:id="echoid-s2385" xml:space="preserve">Nè credo che il moto circolare ſneruareb-<lb/>be il moto all´ ingiù, il quale anco quando da queſto foſse <lb/>ſneruato, ciò farebbe proportionatamente in tutto il tem-<lb/>po della ſua diſceſſa; </s> <s xml:id="echoid-s2386" xml:space="preserve">in guiſa che ſe il mobile ſi muoue di <lb/>ſolo moto retto, ſi muoue acceleratamente con maggior <lb/>velocità, e in minor tempo. </s> <s xml:id="echoid-s2387" xml:space="preserve">Mà mouendoſi anco con mo-<lb/>to circolare, e queſto debilitando quello, ſi mouerebbe <lb/>con la medeſima proportionata acceleratione quanto alli <lb/>ſpatij paſsati, mà meno velocemente, e in più tempo. </s> <s xml:id="echoid-s2388" xml:space="preserve">Giudi-<lb/>co però, che il moto circolare non impedirek be punto il ret-<lb/>to, nè queſto quello. </s> <s xml:id="echoid-s2389" xml:space="preserve">Tale è la mia opinione, dalla quale <lb/>non mi rimoueranno le ſole parole del Sig. </s> <s xml:id="echoid-s2390" xml:space="preserve">Manfredi, quan-<lb/>do non adduca ſode ragioni.</s> <s xml:id="echoid-s2391" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2392" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2393" xml:space="preserve">Addimanda poi in corteſia, che lei riſponda ad <lb/>vna ſua interrogatione, la quale è. </s> <s xml:id="echoid-s2394" xml:space="preserve">_Quando il pendolo leua-_ <lb/>_to dalla ſua quiete perpendicolare è dalla mano tratto diſt e ſa-_ <lb/>_mente all´insù per vn medeſimo piano, e poi laſciato cadere; </s> <s xml:id="echoid-s2395" xml:space="preserve">men-_ <lb/>_tre diſcende, non deſcriue egli vn arco di circolo, e realmente_ <lb/>_per quello vincendeuolmente fi reciproca? </s> <s xml:id="echoid-s2396" xml:space="preserve">oerto che sì._ </s> <s xml:id="echoid-s2397" xml:space="preserve">E pure <lb/>non diſcende per quelie linee perpendicolari all´Orizon-<lb/>te, &</s> <s xml:id="echoid-s2398" xml:space="preserve">c.</s> <s xml:id="echoid-s2399" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2400" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2401" xml:space="preserve">Deſcriue il pendolo vna linea circolare, la. </s> <s xml:id="echoid-s2402" xml:space="preserve">quale <lb/>noi vediamo con tutto quello, che ſi fà, perche di tutto quel-<lb/>lo noi manchiamo. </s> <s xml:id="echoid-s2403" xml:space="preserve">Hora in queſto moto interuen gono due <lb/>principij diuerſi; </s> <s xml:id="echoid-s2404" xml:space="preserve">la grauità, che conduce allo ingi ù il gra-<lb/>ue quanto à ſe per la perpendicolare; </s> <s xml:id="echoid-s2405" xml:space="preserve">el´attaccamento del <lb/>graue con il centro, mediante il ſemidiametro, che lo con-<lb/>ſerua ſempre nella medeſima diſtanza dal centro. </s> <s xml:id="echoid-s2406" xml:space="preserve">Queſte <lb/>due coſe ſono differenti frà ſe, e dalla combinatione d´am-<lb/>bidue ne reſulta la terza, cioè la linea curua. </s> <s xml:id="echoid-s2407" xml:space="preserve">Mà però que-<lb/>ſto eſsempio non hà che fare con´il moto del graue nel Ipo-<lb/>teſi Copernicana; </s> <s xml:id="echoid-s2408" xml:space="preserve">perche in queſto caſo l´attaccamento ri-<lb/>mira il centro delcircolo, ela grauità il centro della Terta;</s> <s xml:id="echoid-s2409" xml:space="preserve"> <pb o="66" file="0078" n="78"/> mà nell´Ipoteſi Copernicana tanto il moto circolare, quan-<lb/>to quello all´ingiù rimirarebbero il medeſimo centro della <lb/>Terra. </s> <s xml:id="echoid-s2410" xml:space="preserve">Anco però in queſto caſo il graue diſcende perla <lb/>perpendicolare come puole; </s> <s xml:id="echoid-s2411" xml:space="preserve">cioè interſecando l´infinite <lb/>perpendicolari all´Orizonte in punti infiniti diuerſi, li quali <lb/>riferiti alla perpendicolare tirrata dal centro, in certo mo-<lb/>do la formano. </s> <s xml:id="echoid-s2412" xml:space="preserve">E ſe s´imaginaremo la perpendicolare nel <lb/>principio del moto mouerſi traſuerſalmente, e proportio-<lb/>natamente ſempre parallela à ſe ſteſſa verſo la perpendico-<lb/>lare per il centro, il graue ſarà ſempre in eſſa, trapaſſan-<lb/>dola tutta.</s> <s xml:id="echoid-s2413" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2414" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2415" xml:space="preserve">Mà io interrogarei volentieri il Sig. </s> <s xml:id="echoid-s2416" xml:space="preserve">Manfredi, ſe <lb/>crede hauer addotto vn eſſempio à propoſito ò nò. </s> <s xml:id="echoid-s2417" xml:space="preserve">In gra-<lb/>tia Sig. </s> <s xml:id="echoid-s2418" xml:space="preserve">Conte mi riſponda per lui.</s> <s xml:id="echoid-s2419" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2420" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2421" xml:space="preserve">Quando non l´haueſle giudicato à propoſito, non <lb/>ſtimo, che l´hauerebbe addotto.</s> <s xml:id="echoid-s2422" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2423" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2424" xml:space="preserve">E famoſiſſima quella dottrina, che è tocca dal <lb/>Galileo nel 1. </s> <s xml:id="echoid-s2425" xml:space="preserve">Dial. </s> <s xml:id="echoid-s2426" xml:space="preserve">del ſiſt. </s> <s xml:id="echoid-s2427" xml:space="preserve">Comiſ. </s> <s xml:id="echoid-s2428" xml:space="preserve">pag. </s> <s xml:id="echoid-s2429" xml:space="preserve">lat. </s> <s xml:id="echoid-s2430" xml:space="preserve">12. </s> <s xml:id="echoid-s2431" xml:space="preserve">cioè, che il <lb/>graue diſcendendo, in qual ſi ſia luogo hà acquiſtato tanto <lb/>empito, che ſe remoſſi tutti li eſtrinſeci impedimenti lo po-<lb/>teſſe applicare, ſarebbe ſufficiente à recondurlo ad´altra tan-<lb/>ta altezza, quanta è quella dalla quale è ſceſo. </s> <s xml:id="echoid-s2432" xml:space="preserve">Ciò confer-<lb/>ma iui il Galileo con li notiſſimi eſſempij dell´ Acqua, che <lb/>tanto ſaliſſe, quanto diſcende; </s> <s xml:id="echoid-s2433" xml:space="preserve">& </s> <s xml:id="echoid-s2434" xml:space="preserve">à noſtro propoſito, del <lb/>pendolo, che diſceſo ſino al punto infimo, hà iui acquiſta-<lb/>to tanto empito, ò velocità, che è ſufficiente à recondurlo ad <lb/>altra tanta altezza, remoſſi tutti li impedimenti. </s> <s xml:id="echoid-s2435" xml:space="preserve">Il medeſi-<lb/>mo Galileo da ciò ne caua vn´altra propoſitione; </s> <s xml:id="echoid-s2436" xml:space="preserve">cioè, che <lb/>li empiti de mobili egualmente diſtanti dal centro ſono <lb/>eguali. </s> <s xml:id="echoid-s2437" xml:space="preserve">Il che cosi và inteſo. </s> <s xml:id="echoid-s2438" xml:space="preserve">Dal punto C, diſcendono <lb/>due graui, vno per la perpendicolare C B, l´altro per l´in-<lb/>clinata C A; </s> <s xml:id="echoid-s2439" xml:space="preserve">arriuati alla Orizontale A B, haueranno empi-<lb/>ti eguali; </s> <s xml:id="echoid-s2440" xml:space="preserve">perche queſti ſono ſufficienti à recondurli alla me-<lb/>deſima altezza C. </s> <s xml:id="echoid-s2441" xml:space="preserve">Queſta propoſitione, che dal Torricelli <lb/>nel lib. </s> <s xml:id="echoid-s2442" xml:space="preserve">1. </s> <s xml:id="echoid-s2443" xml:space="preserve">del moto de graui, e dimoſtrata in altra forma, e <lb/>dal Galilco ſuppoſta per l´eſperienza del pendolo. </s> <s xml:id="echoid-s2444" xml:space="preserve">Il che per <pb o="67" file="0079" n="79"/> <anchor type="figure" xlink:label="fig-0079-01a" xlink:href="fig-0079-01"/> meglio dichiarar, ſupponiamo dal centro C, pender il <lb/>graue B, & </s> <s xml:id="echoid-s2445" xml:space="preserve">alzato queſto ſino in D, ſi laſci diſcender; </s> <s xml:id="echoid-s2446" xml:space="preserve">que-<lb/>ſti arriuato in B, hauerà tanto empito, e velocit à come ſe foſ-<lb/>ſe diſceſo per la perpendicolare CB; </s> <s xml:id="echoid-s2447" xml:space="preserve">perche queſti empiti <lb/>ſono ſufficienti à recondur il graue ad eguali altezze C, E. <lb/></s> <s xml:id="echoid-s2448" xml:space="preserve">Hora vede Sig Conte, che ſe bene il graue ſcende per la. </s> <s xml:id="echoid-s2449" xml:space="preserve"><lb/>circonferenza del circolo, nulladimeno quanto alla veloci-<lb/>tà acquiſtata fà il medeſimo, co me ſe foſſe diſceſo per la <lb/>perpendicolare? </s> <s xml:id="echoid-s2450" xml:space="preserve">Hora ſe ſuccede ciò in queſto caſo, tanto, <lb/>c forſe più ragioneuolmente ſuccederebbe nel moto della <lb/>Terra, mentre che in queſto caſo il moto circolare rimira il <lb/>centro C, diuerſo dal centro della Terra, verſo il quale la <lb/>grauità conduce il graue come può; </s> <s xml:id="echoid-s2451" xml:space="preserve">mà nell´Ipoteſi del <lb/>moto della Terra tanto il moto circolare, quanto il moto <lb/>all´ingiù rimirano il medeſimo centro della Terra.</s> <s xml:id="echoid-s2452" xml:space="preserve"/> </p> <div xml:id="echoid-div17" type="float" level="2" n="3"> <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a"> <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0079-01"/> </figure> </div> <p> <s xml:id="echoid-s2453" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2454" xml:space="preserve">Queſta ſua conſideratione mi piace aſſai; </s> <s xml:id="echoid-s2455" xml:space="preserve">non sò <lb/>come gradira al Sig. </s> <s xml:id="echoid-s2456" xml:space="preserve">Manfredi, il quale nel numero 36. </s> <s xml:id="echoid-s2457" xml:space="preserve">no-<lb/>ta il Sig. </s> <s xml:id="echoid-s2458" xml:space="preserve">Profeſſore d´vn errore commeſſo contro li precetti <lb/>del Galateo.</s> <s xml:id="echoid-s2459" xml:space="preserve"/> </p> <pb o="68" file="0080" n="80"/> <p> <s xml:id="echoid-s2460" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2461" xml:space="preserve">Se così è, biſogna ben dar ragione al Sig. </s> <s xml:id="echoid-s2462" xml:space="preserve">Man-<lb/>fredi, e riceuer la correttione come da Maeſtro de buone <lb/>creanze.</s> <s xml:id="echoid-s2463" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2464" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2465" xml:space="preserve">Eſſendo vero, che errore confeſſato è mezo per-<lb/>donato, io confeſſarò ogni coſa, e chiederò perdono; </s> <s xml:id="echoid-s2466" xml:space="preserve">ſpe-<lb/>rando così, che ſe m´habbi à ſparagnar la Mula. </s> <s xml:id="echoid-s2467" xml:space="preserve">Mà doue <lb/>hò io fallato?</s> <s xml:id="echoid-s2468" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2469" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2470" xml:space="preserve">Riferendo io la riſpoſta di quell´amico del P. </s> <s xml:id="echoid-s2471" xml:space="preserve">Ric-<lb/>cioli _hypotheſi Copernicanæ nimis addicti_ notata da eſſo à carr. <lb/></s> <s xml:id="echoid-s2472" xml:space="preserve">83. </s> <s xml:id="echoid-s2473" xml:space="preserve">dell´Aſtron. </s> <s xml:id="echoid-s2474" xml:space="preserve">Riform. </s> <s xml:id="echoid-s2475" xml:space="preserve">cioè. </s> <s xml:id="echoid-s2476" xml:space="preserve">_Sed hic malè inferebat Grauia_ <lb/>_in Copernicana Hypotheſi deſcendere realiter per lineam per-_ <lb/>_pendicolem, quia,_ lei interrompe il mio ragionamento. </s> <s xml:id="echoid-s2477" xml:space="preserve">Ho-<lb/>ra egli dice. </s> <s xml:id="echoid-s2478" xml:space="preserve">_Mà il Mattematico ſenza voler vdire le ragio-_ <lb/>_ni accennate nel quia, troncando (non sò con qual conueneuoleZ-_ <lb/>_za) al Conte la parola in bocca l´interrompe dicendo, &</s> <s xml:id="echoid-s2479" xml:space="preserve">c._</s> <s xml:id="echoid-s2480" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2481" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2482" xml:space="preserve">Confeſso il mio errore. </s> <s xml:id="echoid-s2483" xml:space="preserve">Hò fallato. </s> <s xml:id="echoid-s2484" xml:space="preserve">La ſupplico <lb/>Sig. </s> <s xml:id="echoid-s2485" xml:space="preserve">Conte à perdonarmi, & </s> <s xml:id="echoid-s2486" xml:space="preserve">attribuire queſto manca nento <lb/>all´ardenza della mia natura. </s> <s xml:id="echoid-s2487" xml:space="preserve">Spero anco eſſer degno di <lb/>perdono, mentre con quelle ragioni lei mi voleua per-<lb/>ſuadere quello, che già ſupponeuo; </s> <s xml:id="echoid-s2488" xml:space="preserve">onde erano ſuper-<lb/>flue.</s> <s xml:id="echoid-s2489" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2490" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2491" xml:space="preserve">Come erano ſuperflue? </s> <s xml:id="echoid-s2492" xml:space="preserve">Adunque lei non vuol <lb/>ſentire le ragioni del P. </s> <s xml:id="echoid-s2493" xml:space="preserve">Riccioli, con le quali vuol prouare, <lb/>che quel moto non ſarebbe per la perpendicolare?</s> <s xml:id="echoid-s2494" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2495" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2496" xml:space="preserve">Le voglio ſentir certo.</s> <s xml:id="echoid-s2497" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2498" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2499" xml:space="preserve">Perche adunque interrompe il Sig. </s> <s xml:id="echoid-s2500" xml:space="preserve">Conte, che le <lb/>vuol riferire?</s> <s xml:id="echoid-s2501" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2502" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2503" xml:space="preserve">Io l´hò interrotto quando mi voleua prouare, che <lb/>quel moto del gtaue all´ing ù foſſe per la perpendicolare, <lb/>mentre non haueuo biſogno di proua, ſentendo il mede-<lb/>ſimo.</s> <s xml:id="echoid-s2504" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2505" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2506" xml:space="preserve">Mà il Sig. </s> <s xml:id="echoid-s2507" xml:space="preserve">Manfredi non intende così, mentre di-<lb/>ce. </s> <s xml:id="echoid-s2508" xml:space="preserve">_Quì ſi verifica il prouerbio, non eſſerui nel Mondo il mag-_ <lb/>_gior ſordo, di quello, che non vuole vdire._ </s> <s xml:id="echoid-s2509" xml:space="preserve">E dice varie coſe, <lb/>dalle qualiſi vede creder egli, chelei non habbia voluto <lb/>vdire le ſueragioni.</s> <s xml:id="echoid-s2510" xml:space="preserve"/> </p> <pb o="69" file="0081" n="81"/> <p> <s xml:id="echoid-s2511" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2512" xml:space="preserve">Non credo ſia così. </s> <s xml:id="echoid-s2513" xml:space="preserve">E certo queſta non è ſtata la <lb/>mia intentione. </s> <s xml:id="echoid-s2514" xml:space="preserve">Per conoſcer ciò, leggiamo il luogo del P. <lb/></s> <s xml:id="echoid-s2515" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s2516" xml:space="preserve">_Quia in illa ſola ſaluatur proportio incrementi ap-_ <lb/>_parentis ſecundum quadr at a temporum æqualium, at que ita in_ <lb/>_tali linea ſaluari velocitatem proportionalem percuſſioni, & </s> <s xml:id="echoid-s2517" xml:space="preserve">ſo-_ <lb/>_no_. </s> <s xml:id="echoid-s2518" xml:space="preserve">Queſte non mi paiono ragioni del P. </s> <s xml:id="echoid-s2519" xml:space="preserve">Riccioli contro l´-<lb/>aſſerto di quel ſuo amico, ma credo bene, che queſte prin-<lb/>cipijno immediatamente à capo, oue dice. </s> <s xml:id="echoid-s2520" xml:space="preserve">_Sed oppoſitum_ <lb/>_adeo verum eſt, &</s> <s xml:id="echoid-s2521" xml:space="preserve">c._ </s> <s xml:id="echoid-s2522" xml:space="preserve">& </s> <s xml:id="echoid-s2523" xml:space="preserve">à queſte principiamo ancor noi riſ-<lb/>pondere nel fine della pag 95. </s> <s xml:id="echoid-s2524" xml:space="preserve">ſucceſſiuamente.</s> <s xml:id="echoid-s2525" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2526" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2527" xml:space="preserve">Dice nel numero medeſimo, che lei contradice à <lb/>ſe ſteſſo, mentre nella pag. </s> <s xml:id="echoid-s2528" xml:space="preserve">20. </s> <s xml:id="echoid-s2529" xml:space="preserve">dice. </s> <s xml:id="echoid-s2530" xml:space="preserve">[L´è ben vero, che <lb/>queſti (cioè li ſpatij paſſati) ſono come li quadrati delli <lb/>tempi, mà poi non tutte quelle linee, che hanno la propor-<lb/>tione delli quadrati delli tempi ſono li ſpatij paſsati.</s> <s xml:id="echoid-s2531" xml:space="preserve">] E poi <lb/>lei ſoggiunge. </s> <s xml:id="echoid-s2532" xml:space="preserve">[In realtà ſe la Terra ſi moueſse, il moto del <lb/>graue naturalmente diſcendente compoſto del circolare, & </s> <s xml:id="echoid-s2533" xml:space="preserve"><lb/>all´ingiù ſi farebbe per vna linea curua, e ſpirale, quale ſa-<lb/>rebbe da eſso trapaſsata con moto realmente accelerato, ſe <lb/>bene non con quella proportione.</s> <s xml:id="echoid-s2534" xml:space="preserve">]</s> </p> <p> <s xml:id="echoid-s2535" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2536" xml:space="preserve">In queſti due detti non sò vedere contradittione <lb/>alcuna.</s> <s xml:id="echoid-s2537" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2538" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2539" xml:space="preserve">Et io li torno à confermare, e ſono veriſſi-<lb/>mi.</s> <s xml:id="echoid-s2540" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2541" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2542" xml:space="preserve">Mà non credo, egli intendere, che queſti due <lb/>luoghi contradichino l´vno all´altro, mà che cadauno di eſ-<lb/>ſi contradica ad´altri ſuoi aſserti; </s> <s xml:id="echoid-s2543" xml:space="preserve">perche ſogginnge. </s> <s xml:id="echoid-s2544" xml:space="preserve">_Se co-_ <lb/>_sìè, dunque non vale il dire, che gli ſpatij HL, IM, K N, DC_, <lb/>_ſiino li ſpatij paſſati del mobile realmente, ancorche queſti hab-_ <lb/>_bino trà ſe la proportione de quadr ati de tempi_.</s> <s xml:id="echoid-s2545" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2546" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2547" xml:space="preserve">Io non sò che coſa voglia intendere; </s> <s xml:id="echoid-s2548" xml:space="preserve">so bene, che <lb/>io non contradico à me ſteſſo. </s> <s xml:id="echoid-s2549" xml:space="preserve">Nè io dico, che quelle 4. </s> <s xml:id="echoid-s2550" xml:space="preserve">li-<lb/>nee ſijnoli ſpatij paſſati, perche habbino la proportione <lb/>delli quadrati delli tempi; </s> <s xml:id="echoid-s2551" xml:space="preserve">perche poſſono hauere queſta <lb/>proportione, & </s> <s xml:id="echoid-s2552" xml:space="preserve">eſſer in modi infiniti maggiori, ò minori <lb/>delli ſpatij paſſati; </s> <s xml:id="echoid-s2553" xml:space="preserve">mà perche ſono 15. </s> <s xml:id="echoid-s2554" xml:space="preserve">60. </s> <s xml:id="echoid-s2555" xml:space="preserve">135. </s> <s xml:id="echoid-s2556" xml:space="preserve">240. </s> <s xml:id="echoid-s2557" xml:space="preserve">piedi, <pb o="70" file="0082" n="82"/> patij, che eſſo dice eſſer ſtati paſſati dal globetto di Creta in <lb/>1. </s> <s xml:id="echoid-s2558" xml:space="preserve">2. </s> <s xml:id="echoid-s2559" xml:space="preserve">3. </s> <s xml:id="echoid-s2560" xml:space="preserve">4. </s> <s xml:id="echoid-s2561" xml:space="preserve">ſecondi horarij nella medeſima perpendicolare <lb/>traſportata dal moto diurno ſopra quelle altretre, in detti <lb/>ſecondi horarii.</s> <s xml:id="echoid-s2562" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2563" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2564" xml:space="preserve">L´altra contradittione_. </s> <s xml:id="echoid-s2565" xml:space="preserve">Se il mobile deſcriue vna <lb/>linea curua, e ſpirale, ma non tale, che non ſi accelerarebbe con-<lb/>conforme li quadrati delli tempi, come può ſtare, che egli hora <lb/>affermi, che per diſcender inſieme all´ingiù ſi acceleri conforme <lb/>alli quadrati, e ciò perche è diſcenſiuo, e ſi come diſcenſiuo ſi <lb/>muoue realmente per vna retta linea perpendicolare, e come gi-<lb/>ratiuo ſi muoue per vna curua in giro verſo Oriente.</s> <s xml:id="echoid-s2566" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2567" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2568" xml:space="preserve">E moſſo il graue da due principii totalmente tra ſe <lb/>diuenſi; </s> <s xml:id="echoid-s2569" xml:space="preserve">il moto diurno lo porta in giro equabilmente inſie-<lb/>me con il medeſimo perpendicolo fiſico; </s> <s xml:id="echoid-s2570" xml:space="preserve">e la grauità lo con-<lb/>duce all´ingiù per il medeſimo perpendicolo acceler ata-<lb/>mente conforme li qua drati dellitempi. </s> <s xml:id="echoid-s2571" xml:space="preserve">Da queſti due mo-<lb/>ti viene generata nel ſpatio mondano la linea ſpirale, non <lb/>equabilmente in guiſa, che in tempi eguali ſi generino parti <lb/>eguali di quella, mà ſempre maggiori quanto più ſi ſcoſta-<lb/>no dal principio; </s> <s xml:id="echoid-s2572" xml:space="preserve">non però con quella proportione delli <lb/>quadrati delli tempi.</s> <s xml:id="echoid-s2573" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2574" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2575" xml:space="preserve">A dunque è vero quello, che ſoggiunge il Sig. <lb/></s> <s xml:id="echoid-s2576" xml:space="preserve">Manfredi. </s> <s xml:id="echoid-s2577" xml:space="preserve">_Non è adunque vna ſola forma di moto, mà due_ <lb/>_reali_.</s> <s xml:id="echoid-s2578" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2579" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2580" xml:space="preserve">Sono trè coſe fiſiche, ereali; </s> <s xml:id="echoid-s2581" xml:space="preserve">il moto all´ingiù dal-<lb/>la grauità; </s> <s xml:id="echoid-s2582" xml:space="preserve">il moto circolare dal diurno; </s> <s xml:id="echoid-s2583" xml:space="preserve">e la ſpirale riſul-<lb/>tante da queſti due moti.</s> <s xml:id="echoid-s2584" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2585" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2586" xml:space="preserve">Come adun que lei dice pag. </s> <s xml:id="echoid-s2587" xml:space="preserve">86. </s> <s xml:id="echoid-s2588" xml:space="preserve">[Non ſarebbe <lb/>così, cioè che caminaſſe per diuerſe forme, perche appa-<lb/>rirebbe in vna ſola forma, eſpirale.</s> <s xml:id="echoid-s2589" xml:space="preserve">] _Vna ſola forma reale,_ <lb/>_e due forme reali di moto del medeſimo mobile, ſono contradit-_ <lb/>_torie_.</s> <s xml:id="echoid-s2590" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2591" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2592" xml:space="preserve">Sig. </s> <s xml:id="echoid-s2593" xml:space="preserve">Ofreddi, ſe queſta obiettionelei la faceſſe di <lb/>mente propria, e non foſſero parole del Sig. </s> <s xml:id="echoid-s2594" xml:space="preserve">Manfredi, di-<lb/>rei, che ella ſi burla di mè. </s> <s xml:id="echoid-s2595" xml:space="preserve">Hora quando à cart. </s> <s xml:id="echoid-s2596" xml:space="preserve">86. </s> <s xml:id="echoid-s2597" xml:space="preserve">hò det-<lb/>to quelle parole, era dubbio ſe il graue con il moto compo- <pb o="71" file="0083" n="83"/> ſto di queſti due deſcriueſſe linee rette, ò quella curua ſpi-<lb/>rale, non quelle 4. </s> <s xml:id="echoid-s2598" xml:space="preserve">rette, ò´altre, &</s> <s xml:id="echoid-s2599" xml:space="preserve">c. </s> <s xml:id="echoid-s2600" xml:space="preserve">Sarebbe contradittione <lb/>quando io diceſſi, che la linea nel ſpatio mondano compo-<lb/>ſta di quelli due moti hora foſle ſpirale, horanon.</s> <s xml:id="echoid-s2601" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2602" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2603" xml:space="preserve">Nelnumero 37. </s> <s xml:id="echoid-s2604" xml:space="preserve">interroga coſa lei direbbe ſe vno <lb/>argomentaſſe così. </s> <s xml:id="echoid-s2605" xml:space="preserve">Muouendoſi la Terra, il graue in virtù <lb/>del moto diurno ſi mouerebbe per la circonferenza di vn´ <lb/>circolo vniformemente ſenza ſuario di velocità, e per-<lb/>coſſa.</s> <s xml:id="echoid-s2606" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2607" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2608" xml:space="preserve">Direi, che dice il vero.</s> <s xml:id="echoid-s2609" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2610" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2611" xml:space="preserve">Mà ſoggiungendo egli. </s> <s xml:id="echoid-s2612" xml:space="preserve">Adunque benche in vir-<lb/>tù della grauità, e per direttione di eſſa ſi moueſſe allo i<gap/>-<lb/>giù; </s> <s xml:id="echoid-s2613" xml:space="preserve">nondimeno in virtù del moto diurno ſi mouerebbe per <lb/>vn circolo; </s> <s xml:id="echoid-s2614" xml:space="preserve">tanto più quanto preualerebbe il moto diurno <lb/>à quello all´ingiù, paſſando in virtù di quello in vn ſecondo <lb/>horario piedi 1700 & </s> <s xml:id="echoid-s2615" xml:space="preserve">in virtù di queſto ſolo piedi 15.</s> <s xml:id="echoid-s2616" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2617" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2618" xml:space="preserve">Direi, che deduceſle vna conſequenza falſa; </s> <s xml:id="echoid-s2619" xml:space="preserve">per-<lb/>che mouendoſi all´ingiù, è portato da quel moto ſempre più <lb/>vicino al centro; </s> <s xml:id="echoid-s2620" xml:space="preserve">onde il moto circolare deſcriue ſempre <lb/>minori, eminori circonferenze. </s> <s xml:id="echoid-s2621" xml:space="preserve">Nè il motto circolare, <lb/>quantunque più veloce, impediſce il moto all´ingiù.</s> <s xml:id="echoid-s2622" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2623" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2624" xml:space="preserve">E ſe vn´altro diceſſe: </s> <s xml:id="echoid-s2625" xml:space="preserve">Nò, perche biſogna conſi-<lb/>derar anco l´altro principio intrinſeco mo @ente all´ingiù, e <lb/>dire, che ſi mouerebbe per vn perfetto cir colo in virtù del <lb/>moto diurno, e per vna perpendicolare in virtù dell´all´-<lb/>ingiù.</s> <s xml:id="echoid-s2626" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2627" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2628" xml:space="preserve">Direi, che diſcorreſſe ſtrambamente.</s> <s xml:id="echoid-s2629" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2630" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2631" xml:space="preserve">Adunque, conclude egli, il vero diſcorſo è dire, <lb/>che queſto moto miſto ſi farebbe per vna ſola linea, che par-<lb/>ticiparebbe del circolare, non eſsendo perfettamente tale, e <lb/>del deſcensſiuo ſenza eſſer perfettamente perpendicolare, <lb/>per la quale mouendoſi non acceleratamente, ne ſeguireb-<lb/>be non douer ſucceder quello, che eſperimentiamo della <lb/>percoſſa, &</s> <s xml:id="echoid-s2632" xml:space="preserve">c.</s> <s xml:id="echoid-s2633" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2634" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2635" xml:space="preserve">Il moto diurno porta in giro il graue, & </s> <s xml:id="echoid-s2636" xml:space="preserve">il ſemidia-<lb/>metro; </s> <s xml:id="echoid-s2637" xml:space="preserve">il moto diſcenſiuo lo porta verſo il centro per il me- <pb o="72" file="0084" n="84"/> medeſimo ſemidiametro, che ſempre l´accompagna. </s> <s xml:id="echoid-s2638" xml:space="preserve">Que-<lb/>ſto portarlo all´ingiù cagiona, che il circolare varij ſempre <lb/>circonferenza. </s> <s xml:id="echoid-s2639" xml:space="preserve">Da queſti due ne riſulta nel ſpatio monda-<lb/>nola linea ſpir ale partecipante del giratiuo, & </s> <s xml:id="echoid-s2640" xml:space="preserve">all´ingiù, <lb/>delli quali è compoſta. </s> <s xml:id="echoid-s2641" xml:space="preserve">E la percoſsa è cagionata dal di-<lb/>ſcenſiuo, il quale eſſendo eccelerato conforme li quadrati <lb/>delli tempi, deue fare la diuerſità di percoſſa, e ſuono, co-<lb/>meſegue. </s> <s xml:id="echoid-s2642" xml:space="preserve">Nè vale il dire non deſcriue vn perfetto circo-<lb/>lo, adunque nè meno diſcende per vna perpendicolare, <lb/>perche intanto deſcende per la perpendicolare fiſica, per-<lb/>che queſta li và ſempre dietro con´il medeſimo moto circo-<lb/>lare.</s> <s xml:id="echoid-s2643" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2644" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2645" xml:space="preserve">Dice poi_. </s> <s xml:id="echoid-s2646" xml:space="preserve">E queſta è in ſoſtanza la riſpoſta data <lb/>dal P. </s> <s xml:id="echoid-s2647" xml:space="preserve">Riccioli à quel ſuo amico. </s> <s xml:id="echoid-s2648" xml:space="preserve">Quantunque il M attematico di <lb/>Padoua non l´habbi voluta vdire, non che leggere.</s> <s xml:id="echoid-s2649" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2650" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2651" xml:space="preserve">O che il Sig. </s> <s xml:id="echoid-s2652" xml:space="preserve">Manfredi ſiburla dinoi, ò che ſtima <lb/>tutti li huomini ciechi. </s> <s xml:id="echoid-s2653" xml:space="preserve">ſi che non poſſino leggere l´Aſtro-<lb/>nomia Riformata del P. </s> <s xml:id="echoid-s2654" xml:space="preserve">Riccioli, e le noſtre conſiderationi. <lb/></s> <s xml:id="echoid-s2655" xml:space="preserve">Chileggerà il P. </s> <s xml:id="echoid-s2656" xml:space="preserve">Riccioli trouerà, che queſta riſpoſta la dà <lb/>nel numero 13. </s> <s xml:id="echoid-s2657" xml:space="preserve">del luogo cit. </s> <s xml:id="echoid-s2658" xml:space="preserve">Chi poileggerà le noſtre Con-<lb/>ſiderationi vederà che à cart. </s> <s xml:id="echoid-s2659" xml:space="preserve">98. </s> <s xml:id="echoid-s2660" xml:space="preserve">ſe riſponde à quello è con-<lb/>cenuto nel numero 13. </s> <s xml:id="echoid-s2661" xml:space="preserve">E ſucceſſiuamente ſe riſponde alli <lb/>numeri 14. </s> <s xml:id="echoid-s2662" xml:space="preserve">15. </s> <s xml:id="echoid-s2663" xml:space="preserve">&</s> <s xml:id="echoid-s2664" xml:space="preserve">c. </s> <s xml:id="echoid-s2665" xml:space="preserve">iui citati de volta in volta.</s> <s xml:id="echoid-s2666" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2667" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2668" xml:space="preserve">Nel numero 38. </s> <s xml:id="echoid-s2669" xml:space="preserve">dice in ſoſtanza che il P. </s> <s xml:id="echoid-s2670" xml:space="preserve">non fà <lb/>così, mà vuole ſentire le ſue ragioni, &</s> <s xml:id="echoid-s2671" xml:space="preserve">c. </s> <s xml:id="echoid-s2672" xml:space="preserve">Recita la Defi-<lb/>nitione di Archimede della linea ſpirale, e quanto lei dice <lb/>di quelli due moti; </s> <s xml:id="echoid-s2673" xml:space="preserve">cioè, che il punto paſſa per tutto il ſe-<lb/>midiametro, e queſti porta il punto circolarmente.</s> <s xml:id="echoid-s2674" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2675" xml:space="preserve">Riſponde nel numero 39. </s> <s xml:id="echoid-s2676" xml:space="preserve">che viè gran differenza; </s> <s xml:id="echoid-s2677" xml:space="preserve">e que-<lb/>fta è in ſoſtanza, che li principij mouenti nella ſpirale vno <lb/>è eſtrinſeco, l´altro intrinſeco, perche il punto intrinſeca-<lb/>mente ſimouerebbe per il ſemidiametro, e queſto come <lb/>principio eſtrinſeco lo portarebbe in giro; </s> <s xml:id="echoid-s2678" xml:space="preserve">mà nel moto del <lb/>graue tutti li due moti ſarebbero da principio intrinſeco.</s> <s xml:id="echoid-s2679" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2680" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2681" xml:space="preserve">Queſta riſp ſta mi par tanto ſtrauagante, che non ſti-<lb/>mo neceſsario confutarla, mà ſolo rimetterla al giudicio del- <pb o="73" file="0085" n="85"/> li Lettori. </s> <s xml:id="echoid-s2682" xml:space="preserve">Nè io eredo, che le linee, che ſi deſcriuono dal-<lb/>li principij mouenti habbino queſto diſcorſo de laſciarſi <lb/>deſcriuere quando di queſti l´vno è eſtrinſeco, l´altro in-<lb/>trinſeco, e non quando ambidue ſono intrinſeci. </s> <s xml:id="echoid-s2683" xml:space="preserve">Quando <lb/>concorrono le medeſime conditioni, ſiano queſte intrinſe-<lb/>che, ò eſtrinſeche, ne deuono ſeguire le medeſime linee de-<lb/>fcritte.</s> <s xml:id="echoid-s2684" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2685" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2686" xml:space="preserve">Miriſponda in gratia Sig. </s> <s xml:id="echoid-s2687" xml:space="preserve">Conte. </s> <s xml:id="echoid-s2688" xml:space="preserve">La Terra cer-<lb/>to è immobile di moto circolare?</s> <s xml:id="echoid-s2689" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2690" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2691" xml:space="preserve">Certiſsimo.</s> <s xml:id="echoid-s2692" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2693" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2694" xml:space="preserve">Non potrebbe far Dio, che vn Angelo, ò altro <lb/>principio eſtrinſeco la giraſſe aſſieme con tutti liſuoi cor-<lb/>pi aderenti?</s> <s xml:id="echoid-s2695" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2696" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2697" xml:space="preserve">Certiſſimo.</s> <s xml:id="echoid-s2698" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2699" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2700" xml:space="preserve">Hora in queſto caſo il graue diſcendente mentre <lb/>diſcenderebbe per la propria grauità intrinſeca, e ſarebbc <lb/>portato in giro da principio eſtrinſeco, hauendo tutte le <lb/>altre conditioni della ſpirale, deſcenderebbe per la perpen-<lb/>dicolare. </s> <s xml:id="echoid-s2701" xml:space="preserve">Coſa adunque può leuare da ciò, che il princi-<lb/>pio mouente ſia intrinſeco?</s> <s xml:id="echoid-s2702" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2703" xml:space="preserve">Con. </s> <s xml:id="echoid-s2704" xml:space="preserve">Io per me non sò che dirmi. </s> <s xml:id="echoid-s2705" xml:space="preserve">Dice egli nelnume-<lb/>ro 40. </s> <s xml:id="echoid-s2706" xml:space="preserve">che alcuno potrebbe riſpondere eſſerui diſparità, per-<lb/>che ambidue li moti nella ſpirale Archimedea ſono equa-<lb/>bili, e così proportionati, che il punto per il ſemidiametro <lb/>arriaa alla circonferenza quando il ſemidiametro compiſce <lb/>vn perfetto giro. </s> <s xml:id="echoid-s2707" xml:space="preserve">In queſto caſo il moto all´ingiù è accele-<lb/>rato, e il graue diſcenderebbe al centro prima, che ſi forniſ-<lb/>ſe vna intiera reuolutione. </s> <s xml:id="echoid-s2708" xml:space="preserve">Egli però non riceue queſta riſ-<lb/>poſta; </s> <s xml:id="echoid-s2709" xml:space="preserve">e torna à replicare la ſoprapoſta dottrina delli prin-<lb/>cipij intrinſeci, e eſtrinſeci; </s> <s xml:id="echoid-s2710" xml:space="preserve">e che il moto circolare ritarda-<lb/>rebbe quello all´ingiù.</s> <s xml:id="echoid-s2711" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2712" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2713" xml:space="preserve">Non occorre replicar altro. </s> <s xml:id="echoid-s2714" xml:space="preserve">E già habbiamo det-<lb/>to, che ò il moto circolare non retarda il diſcenſiuo, ò ri-<lb/>tardandolo, ciò fà proportionatamente.</s> <s xml:id="echoid-s2715" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2716" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2717" xml:space="preserve">Nel numero 41. </s> <s xml:id="echoid-s2718" xml:space="preserve">riconoſce tutte le medeſime diſ-<lb/>parità nelli altri eſsempi da lei portati; </s> <s xml:id="echoid-s2719" xml:space="preserve">perciò nou occorre <pb o="74" file="0086" n="86"/> ſoggiunger altro. </s> <s xml:id="echoid-s2720" xml:space="preserve">Mà nel numero 42. </s> <s xml:id="echoid-s2721" xml:space="preserve">recita quello del cap-<lb/>pone infilzato in vn ſpiedo. </s> <s xml:id="echoid-s2722" xml:space="preserve">Silamenta, che ſij ſtato taſſato <lb/>à torto, quando dicendo del Keplero: </s> <s xml:id="echoid-s2723" xml:space="preserve">_Sed à ſpecula ad cu-_ <lb/>_linam maluit deſcendere Keplerus, vt inde ſimilitudinem ſuo_ <lb/>_palato conformem hauriret_, viene quaſi notato d´hauer no-<lb/>tato il Keplero di mangiatore. </s> <s xml:id="echoid-s2724" xml:space="preserve">Dice, che il P. </s> <s xml:id="echoid-s2725" xml:space="preserve">Riccioli at-<lb/>teſta hauer inteſo, _ſotto la met nfor a del palato, non la goloſi-_ <lb/>_tà del Keplero, ma il prurito, & </s> <s xml:id="echoid-s2726" xml:space="preserve">il genio di prender tutto ciò,_ <lb/>_che può eſſer à fauore del ſiſtema Copernicano, & </s> <s xml:id="echoid-s2727" xml:space="preserve">hà ſapore di_ <lb/>_ſimil nouità_. </s> <s xml:id="echoid-s2728" xml:space="preserve">Dice anco molte coſe in ſimil propoſito, le <lb/>quali perche tocca riſpondere à me, le tralaſcio con il pro-<lb/>uerbio, che ogni parola non vuol riſpoſta. </s> <s xml:id="echoid-s2729" xml:space="preserve">Solo dico ha-<lb/>uer ſempre ſentito dire, che _Verba ſimpliciter prolata, ſim-_ <lb/>_pliciter ſunt intelligenda_. </s> <s xml:id="echoid-s2730" xml:space="preserve">Nè io mi arrogo d´entrar nella <lb/>mente del P. </s> <s xml:id="echoid-s2731" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s2732" xml:space="preserve">interpretare li ſuoi ſenſi, ſe queſti ſi <lb/>debbano intendere _ad litteram_, ò metaforicamente, & </s> <s xml:id="echoid-s2733" xml:space="preserve">in <lb/>qual metafora. </s> <s xml:id="echoid-s2734" xml:space="preserve">Non mi pento però d´hauer fatto quel dub. <lb/></s> <s xml:id="echoid-s2735" xml:space="preserve">bio; </s> <s xml:id="echoid-s2736" xml:space="preserve">perche io ſarò cagione, che hauendo il P. </s> <s xml:id="echoid-s2737" xml:space="preserve">Riccioli pa-<lb/>leſati li ſuoi veri´ ſentimenti, altri non habbino materia di <lb/>marauigliarſi di lui in ſimil propoſito per l´auenire.</s> <s xml:id="echoid-s2738" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2739" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2740" xml:space="preserve">In queſto numero non tocca ſolamente lei Signor <lb/>Conte, mà anco mè; </s> <s xml:id="echoid-s2741" xml:space="preserve">però anch´io confermo, che ogni pa-<lb/>rola non vuol riſpoſta.</s> <s xml:id="echoid-s2742" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2743" xml:space="preserve">Nel numero 43. </s> <s xml:id="echoid-s2744" xml:space="preserve">Conſidera alcune ſue propo fitioni poſte <lb/>nella pag. </s> <s xml:id="echoid-s2745" xml:space="preserve">100. </s> <s xml:id="echoid-s2746" xml:space="preserve">La prima è [Il graue, che cadeſſe per la per-<lb/>pendicolare BA, ſarebbe con la medeſima perpendicolare <lb/>portato in giro dalla reuolucion diurna in modo, che non <lb/>ſarebbe portato ad altre, & </s> <s xml:id="echoid-s2747" xml:space="preserve">altre perpendicolari H Q. <lb/></s> <s xml:id="echoid-s2748" xml:space="preserve">I F, &</s> <s xml:id="echoid-s2749" xml:space="preserve">c.</s> <s xml:id="echoid-s2750" xml:space="preserve">] Dice, che queſta è falſa, _parlando di perpendico-_ <lb/>_lari fiße, e immobili nello ſpazio del Mondo; </s> <s xml:id="echoid-s2751" xml:space="preserve">ben che ſia ver a_ <lb/>_parlando di perpendicolari identificate con altre Torri, edificij,_ <lb/>_ò altricorpi reali fondati ſopra la Terra, e diſtinti dalla Torre_ <lb/>_Aſinella_.</s> <s xml:id="echoid-s2752" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2753" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2754" xml:space="preserve">E queſto è quello, che noi vogliamo; </s> <s xml:id="echoid-s2755" xml:space="preserve">cloè, che la <lb/>medeſima perpendicolare fiſica ſia portata in giro, e ſuc-<lb/>ceſſiuamente ſia collo cata ſopra quelle perpendicolari ima- <pb o="75" file="0087" n="87"/> <anchor type="figure" xlink:label="fig-0087-01a" xlink:href="fig-0087-01"/> ginarie´ nello ſpatio del Mondo, le quali con il ſuo punto <lb/>infimo andarebbero radendo la ſuperficie della Terra, e <lb/>con il ſupremo arriuarebbero al Cielo; </s> <s xml:id="echoid-s2756" xml:space="preserve">e ſopra le quali ſuc-<lb/>ceſſiuamente intendiamo paſſar l´infinite perpendicolari fi-<lb/>ſiche, e reali nelle Torri, Aria, e ſimili, le quali ſarebbero <lb/>portate in giro dal moto diurno.</s> <s xml:id="echoid-s2757" xml:space="preserve"/> </p> <div xml:id="echoid-div18" type="float" level="2" n="4"> <figure xlink:label="fig-0087-01" xlink:href="fig-0087-01a"> <image file="0087-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0087-01"/> </figure> </div> <p> <s xml:id="echoid-s2758" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2759" xml:space="preserve">La ſeconda è. </s> <s xml:id="echoid-s2760" xml:space="preserve">[Mà la medeſima perpendicolare <lb/>BA, che ſupponiamo eſſer la Torre delli Aſinelli, che prima <lb/>haueua il ſito BA, haurebbe poi ſucceſſiuamente li ſiti H Q, <lb/>IF, &</s> <s xml:id="echoid-s2761" xml:space="preserve">c.</s> <s xml:id="echoid-s2762" xml:space="preserve">] dice, che _Lneſta è veriſſima, mà contradice alla pre-_ <lb/>_cedente_</s> </p> <p> <s xml:id="echoid-s2763" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2764" xml:space="preserve">Haurò piacere di vedere queſta contradittione.</s> <s xml:id="echoid-s2765" xml:space="preserve"> <pb o="76" file="0088" n="88"/> Cont. </s> <s xml:id="echoid-s2766" xml:space="preserve">_Perche il Graue cadendo ſeguirebbe col moto diurno la_ <lb/>_perpendicolare ſegnat a nella Torre Aſinella, e queſta ſarebbe_ <lb/>_ſucceſſiuamente nelli ſiti HQ, IF, &</s> <s xml:id="echoid-s2767" xml:space="preserve">c_.</s> <s xml:id="echoid-s2768" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2769" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2770" xml:space="preserve">Veriſſimo.</s> <s xml:id="echoid-s2771" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2772" xml:space="preserve">_Cont._ </s> <s xml:id="echoid-s2773" xml:space="preserve">Adunque anco il graue, che l´accompagna di conſer-<lb/>ua, ſarebbe portaeo alle perpendicolari HQ, IF, che ſona al-<lb/>tre, & </s> <s xml:id="echoid-s2774" xml:space="preserve">altre.</s> <s xml:id="echoid-s2775" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2776" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2777" xml:space="preserve">Se dalle premeſſe ſi deue cauare la conſequenza, <lb/>queſta deue eſsere; </s> <s xml:id="echoid-s2778" xml:space="preserve">ſe la perpendicolare hà li ſiti HQ, IF, <lb/>adunque anco il graue deue hauere quelli ſiti. </s> <s xml:id="echoid-s2779" xml:space="preserve">Queſto non <lb/>fà, che il graue ſia in altre, & </s> <s xml:id="echoid-s2780" xml:space="preserve">altre perpeadicol ari fiſiche, <lb/>e reali, ma nelli ſiti, che quelle occupauano, cioè in quelle <lb/>perpendicolari imaginarie.</s> <s xml:id="echoid-s2781" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2782" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2783" xml:space="preserve">La terza è [Onde il graue cadente mai ſarebbe <lb/>ſtaccato dalla Torre BA.</s> <s xml:id="echoid-s2784" xml:space="preserve">] Dice. </s> <s xml:id="echoid-s2785" xml:space="preserve">_Anzi ſempre ſarebbe ſtac-_ <lb/>_cato, perche mai vi è stato attaccato, altrimenti non diſcen-_ <lb/>_derebbe, mà vuol dire, che non ſi ſarebbe diſcoſtato dalla Torre_ <lb/>_più di quello, che foſſe prima, e queſto è vero_.</s> <s xml:id="echoid-s2786" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2787" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2788" xml:space="preserve">Lei Sig. </s> <s xml:id="echoid-s2789" xml:space="preserve">Profeſſore non adopra le parole proprie <lb/>nell´ eſprimer li ſuoi ſenſi, perciò hà biſogno del Mae-<lb/>ſtro.</s> <s xml:id="echoid-s2790" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2791" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2792" xml:space="preserve">Lei hà ragione. </s> <s xml:id="echoid-s2793" xml:space="preserve">Etale è il mio ſenſo, quale dice il <lb/>Sig. </s> <s xml:id="echoid-s2794" xml:space="preserve">Man fredi.</s> <s xml:id="echoid-s2795" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2796" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2797" xml:space="preserve">La quarta è. </s> <s xml:id="echoid-s2798" xml:space="preserve">[Quale ſe bene foſse portato in gi-<lb/>ro dalla reuolution diurna, l´occhio collocato nella Terra <lb/>portato dal medeſimo moto, non vederebbe, che la diſceſa <lb/>perpendicolare.</s> <s xml:id="echoid-s2799" xml:space="preserve">] Alle quali parole applaude con vn _Non_ <lb/>_ſi può dir meglio_.</s> <s xml:id="echoid-s2800" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2801" xml:space="preserve">La quinta è. </s> <s xml:id="echoid-s2802" xml:space="preserve">[Mà l´occhio collocato fuori della Terra <lb/>vederebbe tutto quello, che fiſica, e realmente ſi fà.</s> <s xml:id="echoid-s2803" xml:space="preserve">] Que-<lb/>ſte parole pur loda con _Fin quì ottimamente_.</s> <s xml:id="echoid-s2804" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2805" xml:space="preserve">La Seſta è. </s> <s xml:id="echoid-s2806" xml:space="preserve">[Onde vederebbe il graue B, caminare ver-<lb/>ſo l´A, per la BA.</s> <s xml:id="echoid-s2807" xml:space="preserve">] Dice. </s> <s xml:id="echoid-s2808" xml:space="preserve">_O queſto nò, perche lo vedrebbe ca-_ <lb/>_minare verſo LM, & </s> <s xml:id="echoid-s2809" xml:space="preserve">auuertirebbe, che l´occhio collocato in Ter-_ <lb/>_ra s´ing annarebbe penſando, che caminaſſe per la B A_.</s> <s xml:id="echoid-s2810" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2811" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2812" xml:space="preserve">Sò anch´io, che lo vederebbe caminare verſo L M, <pb o="77" file="0089" n="89"/> <anchor type="figure" xlink:label="fig-0089-01a" xlink:href="fig-0089-01"/> con il moto compoſto del circolare, e diſcenſiuo@ ma lo ve-<lb/>drebbe anco caminare per la BA, con il diſcenſiuo; </s> <s xml:id="echoid-s2813" xml:space="preserve">e non <lb/>ſcorgerebbe cſser ſtato inganno alcuno nell´occhio, mà ſo-<lb/>la mancanza, vedendo egli quello, che realmente era, mà <lb/>non tutto quello, che era.</s> <s xml:id="echoid-s2814" xml:space="preserve"/> </p> <div xml:id="echoid-div19" type="float" level="2" n="5"> <figure xlink:label="fig-0089-01" xlink:href="fig-0089-01a"> <image file="0089-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0089-01"/> </figure> </div> <p> <s xml:id="echoid-s2815" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2816" xml:space="preserve">La Settima è. </s> <s xml:id="echoid-s2817" xml:space="preserve">[Vedrebbe la B A, non hauer il <lb/>medeſimo ſito, ma eſser traſportata ſucceſſiuamente alli ſi-<lb/>ti HQ, IF; </s> <s xml:id="echoid-s2818" xml:space="preserve">e vedrebbe il graue B, in queſti diuerſi ſiti ha-<lb/>uer diuerſa poſitione nella Torre B A, cioè eſſer in B, L, <lb/>M, &</s> <s xml:id="echoid-s2819" xml:space="preserve">c. </s> <s xml:id="echoid-s2820" xml:space="preserve">tutti li quali punti rappreſentarebbero la ſpirale.</s> <s xml:id="echoid-s2821" xml:space="preserve">] <lb/>Dice, che _Tutto queſto è veriſſimo_.</s> <s xml:id="echoid-s2822" xml:space="preserve"/> </p> <pb o="78" file="0090" n="90"/> <p> <s xml:id="echoid-s2823" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2824" xml:space="preserve">E in queſto modo non vederebbe il graue eſſer ca-<lb/>minato per la Torre BA?</s> <s xml:id="echoid-s2825" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2826" xml:space="preserve">L´Ottauo è. </s> <s xml:id="echoid-s2827" xml:space="preserve">[Nè queſti due moti diuerſi, cioè diſcenſi-<lb/>uo, e circolare fatti nel medeſimo tempo ſono impoſſibili, <lb/>mà neceſſarij, fiſici, e reali.</s> <s xml:id="echoid-s2828" xml:space="preserve">] Dice. </s> <s xml:id="echoid-s2829" xml:space="preserve">_Si ſe foſſero due moti_ <lb/>_realmente distinti da due principij vno intrinſeco, e l´altro_ <lb/>_eſtrinſeco. </s> <s xml:id="echoid-s2830" xml:space="preserve">&</s> <s xml:id="echoid-s2831" xml:space="preserve">c_. </s> <s xml:id="echoid-s2832" xml:space="preserve">E torna à replicare le medeſime dottrine <lb/>ſopra eſplicate, add@cendo li eſſempij del Mulo, che è di <lb/>vna ſola ſpetie benche generato di Caualla, & </s> <s xml:id="echoid-s2833" xml:space="preserve">Aſino, diuer-<lb/>ſa da queſte; </s> <s xml:id="echoid-s2834" xml:space="preserve">e del Perſiconoce, diuerſo dal Perſico, e <lb/>Noce.</s> <s xml:id="echoid-s2835" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2836" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2837" xml:space="preserve">Tanto, che ſe quello, che foſſe diſceſo non foſſe <lb/>ſtato vn graue, ma vna Formica, queſta ſarebbe diſceſa fi-<lb/>ſica, e realmente per la perpendicolare, come hà conceſſo il <lb/>Manfredi nella Naue Vittoria, enon il graue? </s> <s xml:id="echoid-s2838" xml:space="preserve">Horsù la-<lb/>ſciamo, che creda quello, che vuole, e li Lettori giudi-<lb/>chino.</s> <s xml:id="echoid-s2839" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2840" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2841" xml:space="preserve">Mà quelli eſſempij del Mulo, e Pcrſiconoce? </s> <s xml:id="echoid-s2842" xml:space="preserve">Chi <lb/>hà mai detto, che la ſpirale non ſia diuerſa dal moto gira-<lb/>tiuo, e diſcenſiuo? </s> <s xml:id="echoid-s2843" xml:space="preserve">Sono trè coſe fiſiche, ereali; </s> <s xml:id="echoid-s2844" xml:space="preserve">pietra <lb/>moſſa all´ ingiù dalla grauità; </s> <s xml:id="echoid-s2845" xml:space="preserve">portata circolarmente dal <lb/>moto diurno; </s> <s xml:id="echoid-s2846" xml:space="preserve">e linea ſpirale reſultante da queſti due moti. <lb/></s> <s xml:id="echoid-s2847" xml:space="preserve">Così ſono tre coſe fiſiche, e reali, Caualla, Aſino, e Mulo; </s> <s xml:id="echoid-s2848" xml:space="preserve"><lb/>Tronco, ò Ramo di Perſico, e di Noce, e Noceper-<lb/>ſico.</s> <s xml:id="echoid-s2849" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2850" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2851" xml:space="preserve">Nel numero credo io 44. </s> <s xml:id="echoid-s2852" xml:space="preserve">porta vn´ altra ſua ſimi-<lb/>litudine pag. </s> <s xml:id="echoid-s2853" xml:space="preserve">105. </s> <s xml:id="echoid-s2854" xml:space="preserve">nella quale afterma, che [l´acque de fiu-<lb/>mi caminando per vn piano inclinato all´ Orizonte, fanno <lb/>trè coſe fiſica, e realmente; </s> <s xml:id="echoid-s2855" xml:space="preserve">diſcendono per la perpendico-<lb/>lare, ò perpendicolari; </s> <s xml:id="echoid-s2856" xml:space="preserve">ſi muouono lateralmente, e deſcri-<lb/>uono con ambidue queſti moti vna linea curua.</s> <s xml:id="echoid-s2857" xml:space="preserve">] Nega <lb/>il primo, cioè, che deſcendino per la perpendicolare, ò <lb/>perpendicolari, e concede il ſecondo, & </s> <s xml:id="echoid-s2858" xml:space="preserve">il terzo. </s> <s xml:id="echoid-s2859" xml:space="preserve">E ſog-<lb/>giunge altre ſue parole [Imaginiamoci, che dal tetto di <lb/>vna caſa rotolando vna pietra per li coppi, cada à baſlo. <lb/></s> <s xml:id="echoid-s2860" xml:space="preserve">Noila vedremo deſcriuer vna linea curua. </s> <s xml:id="echoid-s2861" xml:space="preserve">Biſogna, ches´ <pb o="79" file="0091" n="91"/> imaginiamo quella pietra forata nel mezo, e chenello ſtac-<lb/>carſi dalli coppi le ſij infilzata vna linea perpen dicolare <lb/>lunga quanto deue eſſer la diſceſa, e che ſi muoua lateral-<lb/>mente con eſſa, e per la quale poſſa ſcorrere. </s> <s xml:id="echoid-s2862" xml:space="preserve">Nel fine del <lb/>moto l´haurà ſcorſa tutta. </s> <s xml:id="echoid-s2863" xml:space="preserve">Onde ſi ſarà moſſo all´ingiù fiſi-<lb/>ca, e realmente per queſta linea perpendicolare.</s> <s xml:id="echoid-s2864" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2865" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2866" xml:space="preserve">Auanti che lei camini oltre, auuertino, che il P. <lb/></s> <s xml:id="echoid-s2867" xml:space="preserve">Riccioli porta nell´Almageſto, e nell´ Aſtronomia Rifor-<lb/>mata alcune ſimilitudini, che non hanno che fare con la li-<lb/>nea, che deſcriuerebbe il graue ſe la Terra ſi moueſſe; </s> <s xml:id="echoid-s2868" xml:space="preserve">alle <lb/>quali però habbiamo riſpoſto acconcian dole in vn certo <lb/>modo. </s> <s xml:id="echoid-s2869" xml:space="preserve">Tale è l´antecedente, che è molto diſſimile; </s> <s xml:id="echoid-s2870" xml:space="preserve">perche <lb/>nel moto della Terra la perpendicolare ſi mouerebbe con <lb/>il medeſimo moto circolare, mànon già la perpendicolare <lb/>nel moto dell´acqaa de fiumi. </s> <s xml:id="echoid-s2871" xml:space="preserve">Hora hauendo io cambiata <lb/>la ſimilitudine dell´Acqua de fiumi in quella della pietra, <lb/>che rotolaſſe dalli coppi, dico, che biſogna imaginarſi la <lb/>perpendicolare muouerſi lateralmente parallela à ſe ſteſſa <lb/>dal principio del moto ſino al fine, accompagnando ſempre <lb/>il graue, e vedere coſa ſuccederebbe. </s> <s xml:id="echoid-s2872" xml:space="preserve">Così l´eſſempio hau-<lb/>rebbe qualche ſimilitudine mentre in ambidue queſti moti <lb/>ſi mouerebbe la perpendicolare del medeſimo moto late-<lb/>rale, ò circolare, con il quale ſi mouerebbe il graue. </s> <s xml:id="echoid-s2873" xml:space="preserve">Hora <lb/>in ambidue queſti motiil diſcenſiuo ſarebbe per la perpen-<lb/>dicolare.</s> <s xml:id="echoid-s2874" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2875" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2876" xml:space="preserve">Mà dice il Sig. </s> <s xml:id="echoid-s2877" xml:space="preserve">Manfredi, che rotolando la pie-<lb/>tra farebbe anco rotolare la linea infilzata.</s> <s xml:id="echoid-s2878" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2879" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2880" xml:space="preserve">Non dico io Sig. </s> <s xml:id="echoid-s2881" xml:space="preserve">Profeſſore, che lei alle volte non <lb/>parla con le parole proprie?</s> <s xml:id="echoid-s2882" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2883" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2884" xml:space="preserve">Lei hà ragione. </s> <s xml:id="echoid-s2885" xml:space="preserve">Horsù ſupponiamo, che ſtriſciaſ-<lb/>ſe ſopra il piano inclinato, ſi che disgiungendoſi da eſſo, per <lb/>l´empito concepito deſcriueſſe nel ſcender la parabolica, ne <lb/>rotaſſe in ſe ſteſla. </s> <s xml:id="echoid-s2886" xml:space="preserve">In queſto caſo non ſcenderebbe per tut-<lb/>ta queila perpendicolare? </s> <s xml:id="echoid-s2887" xml:space="preserve">Mà auuertino loro Signori, che <lb/>quando hò nominato queſta linea perpendicolare, non hò <lb/>inteſo di vna linea materiale, come dice il P. </s> <s xml:id="echoid-s2888" xml:space="preserve">Riccioli, vn fi- <pb o="80" file="0092" n="92"/> lo lungo di ferro, mà hò detto, che ſe l´imaginiamo; </s> <s xml:id="echoid-s2889" xml:space="preserve">onde <lb/>queſta linea non eſsendo materiale, non rotolarebbe per il <lb/>rotolamento della pietra. </s> <s xml:id="echoid-s2890" xml:space="preserve">E cre do, che già comprendino, <lb/>che noi beniſſimo ſe potiamo imaginare queſta linea.</s> <s xml:id="echoid-s2891" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s2892" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s2893" xml:space="preserve">Vano adunque rieſce tutto quello, che dice il Sig._ <lb/></s> <s xml:id="echoid-s2894" xml:space="preserve">_Manfredi anco quando ſoggiunge._ </s> <s xml:id="echoid-s2895" xml:space="preserve">E di più quì ſarebbero due <lb/>mobili, cioè la pietra, ilreale corpo infilz at o, e portato dalla <lb/>pietra, e vi vorrebbe vn´altra forza eſtrinſeca, che manteneſ-<lb/>ſeil corpo infilzato in ſito perpendicolare, reſistendo all´incli-<lb/>natione, erotolamento.</s> <s xml:id="echoid-s2896" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2897" xml:space="preserve">Oſred. </s> <s xml:id="echoid-s2898" xml:space="preserve">Mà anco quando ſi parlaſſe di linea perpendico-<lb/>lare, & </s> <s xml:id="echoid-s2899" xml:space="preserve">infilzata materialmente, e che foſſero neceſſarie tut-<lb/>te le conditioni del Sig. </s> <s xml:id="echoid-s2900" xml:space="preserve">Manfredi, non ſi potrebbe reme-<lb/>diare à tutte? </s> <s xml:id="echoid-s2901" xml:space="preserve">certo sì. </s> <s xml:id="echoid-s2902" xml:space="preserve">Hora in queſto caſo io dico; </s> <s xml:id="echoid-s2903" xml:space="preserve">che il <lb/>graue diſcenderebbe per la per pendicolare. </s> <s xml:id="echoid-s2904" xml:space="preserve">Onde nè meno <lb/>vna parola del Sig. </s> <s xml:id="echoid-s2905" xml:space="preserve">Manfredi è contro il principal intento.</s> <s xml:id="echoid-s2906" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2907" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2908" xml:space="preserve">Nel numero 45. </s> <s xml:id="echoid-s2909" xml:space="preserve">porta la ſimilitudine, che chiama <lb/>palpabile del P. </s> <s xml:id="echoid-s2910" xml:space="preserve">Riccioli nell´Aſtronomia Riformata pag. <lb/></s> <s xml:id="echoid-s2911" xml:space="preserve">84. </s> <s xml:id="echoid-s2912" xml:space="preserve">A D, vn lago pieno di acqua, AB, CD, riue; </s> <s xml:id="echoid-s2913" xml:space="preserve">C B, pon-<lb/>te traſuerſale per il quale vno camini da B, in C. </s> <s xml:id="echoid-s2914" xml:space="preserve">Chi ſano <lb/>di mente dirà, che eſſendo in F, ſia caminato per B F, & </s> <s xml:id="echoid-s2915" xml:space="preserve">E F, <lb/>e che con piedi habbia toccato non ſolo BF, mà anco l´ac-<lb/>qua compreſa nel triangolo B E F?</s> <s xml:id="echoid-s2916" xml:space="preserve"/> </p> <figure> <image file="0092-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0092-01"/> </figure> <pb o="81" file="0093" n="93"/> <p> <s xml:id="echoid-s2917" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2918" xml:space="preserve">ſarebbe ben pazzo da catena chi diceſſe, che chi <lb/>fugge foſſe in riga, & </s> <s xml:id="echoid-s2919" xml:space="preserve">in ſpatio nel medeſimo tempo.</s> <s xml:id="echoid-s2920" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2921" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2922" xml:space="preserve">Recita la riſpoſta del Sig. </s> <s xml:id="echoid-s2923" xml:space="preserve">Profeſſore pag. </s> <s xml:id="echoid-s2924" xml:space="preserve">107. <lb/></s> <s xml:id="echoid-s2925" xml:space="preserve">[Biſogna imaginarſi, che chi fugge per BC, habbia inſilza-<lb/>ta per li fianchi la lancia B D, qual nel fuggire debba ſeco <lb/>portare, nè queſta poſsa mai ſtaccarſi dalli lati B A, CD, per <lb/>li quali poſſa ſcorrere. </s> <s xml:id="echoid-s2926" xml:space="preserve">Conſideriamo quello, che fugge eſ-<lb/>ſer corſo per lo ſpatio B F, & </s> <s xml:id="echoid-s2927" xml:space="preserve">eſſer in F; </s> <s xml:id="echoid-s2928" xml:space="preserve">la lancia haueria la <lb/>poſitura EFH, e fuori del ſuo fianco deſtro ſaria vſcita la <lb/>parte EF, per la qual fiſica, @ realmente ſarà paſsato, men-<lb/>tre ſi ſarì più, e più accoſtato alla ripa CD. </s> <s xml:id="echoid-s2929" xml:space="preserve">Dà prima vna <lb/>riſpoſta gioc@ſa, compaſſionando al dolore, che ſentireb@ <lb/>beil fuggitore, &</s> <s xml:id="echoid-s2930" xml:space="preserve">c.</s> <s xml:id="echoid-s2931" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2932" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2933" xml:space="preserve">Le ſimilitudini addotte dal P. </s> <s xml:id="echoid-s2934" xml:space="preserve">Riccioli ſono tanto <lb/>ſtroppiate, che queſta apena ſe può far ſtar dritta con vna <lb/>lancia nerbuta trapaſsata per li fianchi. </s> <s xml:id="echoid-s2935" xml:space="preserve">Nulladimeno ſtà <lb/>pur ritta in qualche modo, mentre la perpendicolare, cioè <lb/>la lancia ſi mouerebbe con il medeſimo moto traſuerſale del <lb/>fuggente; </s> <s xml:id="echoid-s2936" xml:space="preserve">ſi comenel moto della Terra la perpendicolare <lb/>ſi mouerebbe con il medeſimo moto circolare del graue. <lb/></s> <s xml:id="echoid-s2937" xml:space="preserve">Quando non ſi conſideri il moto della perpendicolare, niu-<lb/>na ſimilitudine è à propoſito, mentre queſto moto della <lb/>perpendicolare vi ſarebbe ſe la Terra ſi moueſse.</s> <s xml:id="echoid-s2938" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2939" xml:space="preserve">Oſred. </s> <s xml:id="echoid-s2940" xml:space="preserve">Mà in vece della lancia portata per ſimilitudine <lb/>imaginiamoci vna linea, che ſempre accompagni il graue.</s> <s xml:id="echoid-s2941" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2942" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2943" xml:space="preserve">Nè anco queſta ſodisfarà al Sig. </s> <s xml:id="echoid-s2944" xml:space="preserve">Manfredi, il qua-<lb/>le riſpondendo _più ſeriamente_, nega prima in ſoſtanza, che <lb/>per intender il moto vnico del fuggitore ſia neceſsario ima-<lb/>ginarſi altro mobile realmente diſtinto da eſso moſso con <lb/>altra forza. </s> <s xml:id="echoid-s2945" xml:space="preserve">Mà per intender la diſtanza dalla B A, baſta <lb/>imaginarſi le perpendicolari E F, &</s> <s xml:id="echoid-s2946" xml:space="preserve">c.</s> <s xml:id="echoid-s2947" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2948" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2949" xml:space="preserve">Nè meno io dico, che per intender quel moto ſia <lb/>neceſsario imaginarſi altro mobile, &</s> <s xml:id="echoid-s2950" xml:space="preserve">c. </s> <s xml:id="echoid-s2951" xml:space="preserve">Mà dico bene, che <lb/>acciò quel moto habbia qualche ſimilitudine con il moto <lb/>del graue nell´Ipoteſi Copernicana, biſogna imaginarſi il <lb/>moto dell a perpendicolare. </s> <s xml:id="echoid-s2952" xml:space="preserve">Altrimente non vi ſarà ſimill <pb o="82" file="0094" n="94"/> tudine alcuna, mentre iui la perpendicolare ſi mouerebbe <lb/>con moto circolare come il graue.</s> <s xml:id="echoid-s2953" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2954" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2955" xml:space="preserve">Nega ſecondariamente la parità; </s> <s xml:id="echoid-s2956" xml:space="preserve">perche in que-<lb/>ſto caſo biſogna imaginarſi due mobili, & </s> <s xml:id="echoid-s2957" xml:space="preserve">empiti realmen-<lb/>te diſtinti; </s> <s xml:id="echoid-s2958" xml:space="preserve">cioè nel fuggitore l´empito intrinſeco dalla vir-<lb/>tù animaſtica; </s> <s xml:id="echoid-s2959" xml:space="preserve">nella lancia impreſſo dal medeſimo fuggito-<lb/>re; </s> <s xml:id="echoid-s2960" xml:space="preserve">e per terzo vi vorrebbe l´empito reſiſtente all´inclina-<lb/>tione della lancia, che non vſciſſe dalli argini, &</s> <s xml:id="echoid-s2961" xml:space="preserve">c. </s> <s xml:id="echoid-s2962" xml:space="preserve">che ſa-<lb/>rebbe ò mani, ò chorde, ò contrapeſi.</s> <s xml:id="echoid-s2963" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2964" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2965" xml:space="preserve">Al vedere, biſogna guardar molto come ſi parla <lb/>con il Sig. </s> <s xml:id="echoid-s2966" xml:space="preserve">Manfredi, perche egli piglia le ſimilitudini, ele <lb/>noſtre parole tanto alla groſsa, che nulla più. </s> <s xml:id="echoid-s2967" xml:space="preserve">E poi ſi la-<lb/>menta di noi ſe non habbiamo interpretata la mente del P. <lb/></s> <s xml:id="echoid-s2968" xml:space="preserve">Riccioli nel caſo dell´arroſto del Keplero così metaforica-<lb/>mente? </s> <s xml:id="echoid-s2969" xml:space="preserve">Horsù in vece della lancia imaginiamoci vna li-<lb/>nea, che accompagni il fuggitore ſempre parallela à ſe ſteſ-<lb/>ſa, la quale non hauerà biſogno di mani, chorde, peſi, &</s> <s xml:id="echoid-s2970" xml:space="preserve">c.</s> <s xml:id="echoid-s2971" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2972" xml:space="preserve">Cont. </s> <s xml:id="echoid-s2973" xml:space="preserve">Dice, che nel moto del graue è fuor di propoſito <lb/>imaginarſi due mobili diſtinti realmente, e forze ad vno in-<lb/>trinſeci, all´altro eſtrinſeci, &</s> <s xml:id="echoid-s2974" xml:space="preserve">c.</s> <s xml:id="echoid-s2975" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2976" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2977" xml:space="preserve">Nel moto del graue ſarebbero pure due mobili di-<lb/>ſtinti, cioè il graue, e la perpendicolare fiſica. </s> <s xml:id="echoid-s2978" xml:space="preserve">Queſti due <lb/>farebbero moſſi con il medeſimo moto circolare; </s> <s xml:id="echoid-s2979" xml:space="preserve">& </s> <s xml:id="echoid-s2980" xml:space="preserve">il gra-<lb/>ue ſarebbe portato dalla grauità all´ingiù. </s> <s xml:id="echoid-s2981" xml:space="preserve">Queſti princi-<lb/>pij giratiuo, e diſcenſiuo ſarebbero realmente diſtinti; </s> <s xml:id="echoid-s2982" xml:space="preserve">e <lb/>alla ſoſtanza del moto poco importa, che foſſero intrinſeci, <lb/>ò eſtrinſeci, purche ſijno frà ſe diſtinti, come habbiamo <lb/>detto tante volte.</s> <s xml:id="echoid-s2983" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2984" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s2985" xml:space="preserve">Mà che ſarebbe ſe il principio diſcenſiuo non ſoſ-<lb/>ſe in trinſeco al mobile, e che la grauità altro non foſſe, che <lb/>vna virtù calamitica con la quale il gran corpo della Terra <lb/>traeſſe à ſe lialtri corpicelli da eſſa ſeparati, come li maggior <lb/>pezzi di calamita tirrano à ſe li minori, &</s> <s xml:id="echoid-s2986" xml:space="preserve">c.</s> <s xml:id="echoid-s2987" xml:space="preserve">? Potrebbe for-<lb/>ſe diſcorrere alcuno, che chi poteſſe ſeparare qualche pez-<lb/>zo di queſta noſtra Terra, e portarla tanto alta, che foſſe <lb/>fuori della Sfera dell´attiuità del rimanente, che queſta <pb o="83" file="0095" n="95"/> non diſcendeſſe ad vnirſi più con eſſo. </s> <s xml:id="echoid-s2988" xml:space="preserve">E parimente, che chi <lb/>ſeparaſſe la maggior dalla minore, e la traſportaſſe in altro <lb/>luogo, mà non fuori della Sſera della ſua attiuità, che il mi-<lb/>nor pezzo abbandonarebbe il proprio luogo, e ſarebbe trat-<lb/>to dalla virtù del maggiore. </s> <s xml:id="echoid-s2989" xml:space="preserve">Chi diſcorreſſe in queſto mo-<lb/>do, non ſarebbe forſetanto fuori del veriſimile, mentre forſe <lb/>queſta noſtra Terra _eſt magnus Magnes_. </s> <s xml:id="echoid-s2990" xml:space="preserve">E nella Calamita <lb/>vediamo, che il maggiore tirr a à ſe il minore poſto dentro <lb/>la Sfera della ſua attiuità. </s> <s xml:id="echoid-s2991" xml:space="preserve">E ſe vniti vna volta, il maggio-<lb/>re ſia traſportato in altro luogo, ma pure dentro della sfera <lb/>della ſua attiuità, tirra parimente il minore à ſe.</s> <s xml:id="echoid-s2992" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2993" xml:space="preserve">Matt. </s> <s xml:id="echoid-s2994" xml:space="preserve">Benche queſti ſiino diſcorſi di valenthuomini, nul-<lb/>ladimeno non li dica lei Sig. </s> <s xml:id="echoid-s2995" xml:space="preserve">Ofreddi, ſe non vuol eſſer bur-<lb/>lato. </s> <s xml:id="echoid-s2996" xml:space="preserve">Oltre che, chi n´ aſſicura che ne @ moto magnetico il <lb/>maggiore tirri à ſe il minore, e non più toſto queſto corra <lb/>ad vnirſi con quello per qualche bene, che ne riceua me-<lb/>diante queſta vnione? </s> <s xml:id="echoid-s2997" xml:space="preserve">E´ però ben vero, che mentre que-<lb/>ſta non ſi fà ſenza moto, e attione; </s> <s xml:id="echoid-s2998" xml:space="preserve">pare più ragioneuole at-<lb/>tribuire il muouere alla parte più valida.</s> <s xml:id="echoid-s2999" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3000" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3001" xml:space="preserve">Mà ſi potrebbe anco dire, che l´attione foſſe de <lb/>ambidue le parti; </s> <s xml:id="echoid-s3002" xml:space="preserve">cioè che tanto la maggiore traeſſe la mi-<lb/>nore, quanto queſta quella, ma che finalmente ſuperaſse <lb/>la maggiore, eſſendo la minore innabile à muouere la mag-<lb/>giore. </s> <s xml:id="echoid-s3003" xml:space="preserve">Così ſe ad vna fune foſſero attaccati vn huomo, & </s> <s xml:id="echoid-s3004" xml:space="preserve"><lb/>vn ragazzo, vno ad vn capo, e l´altro all´altro, ſe bene il <lb/>ſanciullo tirraſſe l´huomo, nulladimeno, non lo mouereb-<lb/>be dal proprio luogo, mà ſarebbe tratto egli dalla maggior <lb/>forza.</s> <s xml:id="echoid-s3005" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3006" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3007" xml:space="preserve">Horsù tralaſciamo tutti queſti capriccij, li quali <lb/>non peſano vn zero, e paſſiamo al numero 46.</s> <s xml:id="echoid-s3008" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3009" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3010" xml:space="preserve">Dice in queſto, che l´infilzar inſieme due corpi <lb/>realmente diſtinti mobili da due principij vno intrinſeco, <lb/>l´altio eſtrinſeco, è fuori di propoſito. </s> <s xml:id="echoid-s3011" xml:space="preserve">Onde è fuori di <lb/>propoſito li eſſempii, ſe vno correndo portaſse perpendico-<lb/>lare vna Ciarabottana al piano dell´Orizonte, ſopra il qua-<lb/>le correſſe, e laſciaſce correr all´ingiù vna pallottola. </s> <s xml:id="echoid-s3012" xml:space="preserve">O <pb o="84" file="0096" n="96"/> correndo portaſse vn Horologgio da poluere. </s> <s xml:id="echoid-s3013" xml:space="preserve">ò da Acqua, <lb/>che cadeſse nell´ampolla di ſotto la poluere, ò Acqua.</s> <s xml:id="echoid-s3014" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3015" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3016" xml:space="preserve">Se non ſono à propoſito tal ſia di loro, e di chi li <lb/>adduce.</s> <s xml:id="echoid-s3017" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3018" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3019" xml:space="preserve">Dice però, che ſarebbero à propoſito in parte <lb/>quanto al ſminuire la velocità diſcenſiua. </s> <s xml:id="echoid-s3020" xml:space="preserve">Sicome accade <lb/>in due cannoni dilatta eguali riempiti di Acqua, la quale la-<lb/>ſciando vſcir da eſſi, vſcirà più preſto queſta dall´immobi-<lb/>le, che da vno, che foſse portato da alcuno correndo.</s> <s xml:id="echoid-s3021" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3022" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3023" xml:space="preserve">Così credo anch´io, che ſucceda in queſti eſsempii, <lb/>perche il moto Orizontale è impreſso di nuouo nel Canno-<lb/>ne, e Acqua, e prima in quello, che in queſta. </s> <s xml:id="echoid-s3024" xml:space="preserve">Anzi che <lb/>queſta nel diſcendere vrtando nel Cannone, èimpedita dal <lb/>far la ſua operatione diſcenſiua con la velocità, che richie-<lb/>de la grauità. </s> <s xml:id="echoid-s3025" xml:space="preserve">Mà nel moto della Terra non ſarebbe così; <lb/></s> <s xml:id="echoid-s3026" xml:space="preserve">perche il moto circolare ſarebbe coeuo alla Terra, & </s> <s xml:id="echoid-s3027" xml:space="preserve">al gra-<lb/>ue; </s> <s xml:id="echoid-s3028" xml:space="preserve">onde queſto non impedirebbe il diſcenſiuo. </s> <s xml:id="echoid-s3029" xml:space="preserve">E ſe l´impe-<lb/>diſse, ciò ſarebbe proportionatamente; </s> <s xml:id="echoid-s3030" xml:space="preserve">cioè diſcenderebbe <lb/>conforme li quadrati delli tempi, ma li ſpatii ſarebbero pro-<lb/>portionatamente maggiori, ò minori, conforme foſsero pa-<lb/>ragonati con moto circolare maggiore, ò minore.</s> <s xml:id="echoid-s3031" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3032" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3033" xml:space="preserve">Hò notato in varii luoghi, che il Sig. </s> <s xml:id="echoid-s3034" xml:space="preserve">Manfredi <lb/>ſeguitando la dottrina del P. </s> <s xml:id="echoid-s3035" xml:space="preserve">Riccioli, dice à piena bocca, <lb/>che il moto circolare impedirebbe il diſcenſiuo. </s> <s xml:id="echoid-s3036" xml:space="preserve">Se così è, <lb/>non biſogna, che s´arrecordi di quanto hà detto nel numero <lb/>5. </s> <s xml:id="echoid-s3037" xml:space="preserve">Hauendo il Sig. </s> <s xml:id="echoid-s3038" xml:space="preserve">Profeſsore detto nelle pag. </s> <s xml:id="echoid-s3039" xml:space="preserve">13. </s> <s xml:id="echoid-s3040" xml:space="preserve">e 14. </s> <s xml:id="echoid-s3041" xml:space="preserve">dal-<lb/>l´eſperienze fatte in Bologna, e Firenze, che alcuno potreb-<lb/>be dire, non eſser lecito argomentare ciò douer ſuccedere <lb/>da per tutto; </s> <s xml:id="echoid-s3042" xml:space="preserve">onde [nell´iſteſso modo vno potrebbe deter-<lb/>minare, il graue all´ingiù ſimuoue acceleratamente, ma <lb/>diuerſamente, conforme richiedono li luoghi partecipanti <lb/>del moto più, ò meno veloce della Terra] dice egli. </s> <s xml:id="echoid-s3043" xml:space="preserve">_Mà per_ <lb/>_aſſerire, che l´argomento della velocità d´vn graue naturalmen-_ <lb/>_te cadente trouato nel parallelo di Fiorenza, e di Bologna non_ <lb/>_ſia il medeſimo, in altro luogo non vi è eſperienza alcuna, anzi_ <lb/>_non vi è ſodaragione per dubitarne; </s> <s xml:id="echoid-s3044" xml:space="preserve">perche dalla maggior velo_ <pb o="85" file="0097" n="97"/> _cità dell´ Equator terreſtre, riſpetto alla minore de i Paralleli_ <lb/>_terreſtri nel Siſt ema Copernicano, bens´ inferiſce, che l´aria_ <lb/>_ſteſſa vicina alla Terra, & </s> <s xml:id="echoid-s3045" xml:space="preserve">icorpi terreſtri per tale Aria ſi mo-_ <lb/>_uerebbero verſo Oriente con maggior velocità nel piano dell´E-_ <lb/>_quatore, che nel piano de Paralleli; </s> <s xml:id="echoid-s3046" xml:space="preserve">mà non vi è ragione di di-_ <lb/>_re, che l´augmento della velocità cagionaio dalla grauità nel di-_ <lb/>_ſcender foſſe diuerſo, ò not abilmente minore di quello, che ap-_ <lb/>_parentemente ſi è oſſeruato in Fiorenza, & </s> <s xml:id="echoid-s3047" xml:space="preserve">in Bologna; </s> <s xml:id="echoid-s3048" xml:space="preserve">non di-_ <lb/>_ſcendendo ligraui verſo il centro del Parallelo terreſtre, mà_ <lb/>_verſo il centro commune dell´ Equatore terreſtre._</s> <s xml:id="echoid-s3049" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3050" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3051" xml:space="preserve">Così pare, che egli dica. </s> <s xml:id="echoid-s3052" xml:space="preserve">Hora nel medeſimo <lb/>numero ſegue à dire, che nè li ſuoi ſopradetti eſsempii, nè <lb/>altri da noi addotti ſono à propoſito; </s> <s xml:id="echoid-s3053" xml:space="preserve">e per quel poco, che <lb/>ſono à propoſito ſono à fauore del P. </s> <s xml:id="echoid-s3054" xml:space="preserve">Riccioli, e contrarij al-<lb/>la noſtra intentione, &</s> <s xml:id="echoid-s3055" xml:space="preserve">c.</s> <s xml:id="echoid-s3056" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3057" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3058" xml:space="preserve">Mi piace il Sig. </s> <s xml:id="echoid-s3059" xml:space="preserve">Manfredi, che ſe la fà, e ſe la di-<lb/>ce. </s> <s xml:id="echoid-s3060" xml:space="preserve">Fà l´Auocato, e il Giudice per ſe ſteſſo.</s> <s xml:id="echoid-s3061" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3062" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3063" xml:space="preserve">Segue anco à dire, che l´altro, cioè quello del <lb/>moto diſcenſiuo, che ſia quello, che cagiona la percoſſa, è <lb/>totalmente vano; </s> <s xml:id="echoid-s3064" xml:space="preserve">e falſo, che diſcenda per vna perpendi-<lb/>colare. </s> <s xml:id="echoid-s3065" xml:space="preserve">Che noi non faciamo altro, che inculcare, che <lb/>queſto moto è diſcenſiuo, mà biſogna vedere come è di-<lb/>ſcenſiuo, eſſendo più modi di diſcendere. </s> <s xml:id="echoid-s3066" xml:space="preserve">Diſcende vn <lb/>graue per la per pendicolare all´Orizonte nel Siſtema della <lb/>Terra immobile. </s> <s xml:id="echoid-s3067" xml:space="preserve">Può diſcender obliquamente non per <lb/>vna perpendicolare, benche il mobile ſi troui nelli punti di <lb/>varie perpendicolari imaginarie all´Orizonte; </s> <s xml:id="echoid-s3068" xml:space="preserve">così diſcen-<lb/>dono le Acque giù dalli Monti; </s> <s xml:id="echoid-s3069" xml:space="preserve">le parti delle ruo te delſe <lb/>Carrozze; </s> <s xml:id="echoid-s3070" xml:space="preserve">la pioggia giù per li tetti; </s> <s xml:id="echoid-s3071" xml:space="preserve">vna sfera per vn pia-<lb/>no inclinato all´Orizoute; </s> <s xml:id="echoid-s3072" xml:space="preserve">la palla dell´ Artegliaria quan-<lb/>do principia piegare verſo l´Orizonte; </s> <s xml:id="echoid-s3073" xml:space="preserve">& </s> <s xml:id="echoid-s3074" xml:space="preserve">il Vino quando <lb/>eſſe dalla ſpina della botte; </s> <s xml:id="echoid-s3075" xml:space="preserve">e così diſcenderebbe vn graue <lb/>nel Siſtema Copernicano. </s> <s xml:id="echoid-s3076" xml:space="preserve">Può finalmente diſcender per <lb/>principio intrinſeco, mantenendoſi equidiſtante ſempre ad <lb/>vn corpo perpendicolare, & </s> <s xml:id="echoid-s3077" xml:space="preserve">eſſer da detto corpo con moto <lb/>impreſlogli da principio eſtrinſeco portato à trauerſo.</s> <s xml:id="echoid-s3078" xml:space="preserve"> <pb o="86" file="0098" n="98"/> Dall´eſſer adunque vn corpo diſcenſiuo non ſi può inferire <lb/>la prima, ò terza ſpecie; </s> <s xml:id="echoid-s3079" xml:space="preserve">anzi nel noſtro caſo non è vera, <lb/>che la ſeconda.</s> <s xml:id="echoid-s3080" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3081" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3082" xml:space="preserve">In ordine à queſte dottrine del Sig. </s> <s xml:id="echoid-s3083" xml:space="preserve">Manfredi po-<lb/>treſſimo far varie conſiderationi, e dir varie coſe. </s> <s xml:id="echoid-s3084" xml:space="preserve">Mà per-<lb/>che ciò non ſarebbe ſenza ripetere molte coſe ſopradette, <lb/>diremo ſolamente, quello però, che tante altre volte è ſta-<lb/>to detto. </s> <s xml:id="echoid-s3085" xml:space="preserve">Cioè, che queſto moto è giratiuo in virtù del <lb/>diurno; </s> <s xml:id="echoid-s3086" xml:space="preserve">e diſcenſiuo per la grauítà; </s> <s xml:id="echoid-s3087" xml:space="preserve">e che diſcende per la <lb/>perpend icolare portatagli dietro dalla medeſima reuolu-<lb/>tion diurna.</s> <s xml:id="echoid-s3088" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3089" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3090" xml:space="preserve">Nel numero 47. </s> <s xml:id="echoid-s3091" xml:space="preserve">parla contro il Sig. </s> <s xml:id="echoid-s3092" xml:space="preserve">Gio: </s> <s xml:id="echoid-s3093" xml:space="preserve">Al-<lb/>fonfo Borelli, e conſidera la ſua prop. </s> <s xml:id="echoid-s3094" xml:space="preserve">58. </s> <s xml:id="echoid-s3095" xml:space="preserve">apportata pur da <lb/>noi nel Dialogo 2. </s> <s xml:id="echoid-s3096" xml:space="preserve">carr. </s> <s xml:id="echoid-s3097" xml:space="preserve">113. </s> <s xml:id="echoid-s3098" xml:space="preserve">Sarà penſiero del Sig. </s> <s xml:id="echoid-s3099" xml:space="preserve">Borelli il <lb/>diffenderſi.</s> <s xml:id="echoid-s3100" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3101" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3102" xml:space="preserve">Così è. </s> <s xml:id="echoid-s3103" xml:space="preserve">Nulladimeno, perche da quanto dice <lb/>contro il Sig. </s> <s xml:id="echoid-s3104" xml:space="preserve">Borelli, e contro noi, mi ſouuiene vn modo di <lb/>redurre il Sig. </s> <s xml:id="echoid-s3105" xml:space="preserve">Manfredi, & </s> <s xml:id="echoid-s3106" xml:space="preserve">il P. </s> <s xml:id="echoid-s3107" xml:space="preserve">Riccioli alle ſtrette dalli <lb/>ſuoi medeſimi principij, non partiamo da queſta materia; </s> <s xml:id="echoid-s3108" xml:space="preserve">e <lb/>nello Schema del Sig. </s> <s xml:id="echoid-s3109" xml:space="preserve">Borelli, diamo totalmence bando alla <lb/>conſideratione del moto per la perpendicolare prouenien-<lb/>te dalla grauità traſportata dal moto diurno in varij, e varij <lb/>ſiti; </s> <s xml:id="echoid-s3110" xml:space="preserve">e conſideriamo il ſolo moto traſuerſale fatto per le A G, <lb/>G H, compoſto di ambidue quelli moti. </s> <s xml:id="echoid-s3111" xml:space="preserve">Anzi conſideria-<lb/>mo queſto ſolo, come ſe li altri non foſſero. </s> <s xml:id="echoid-s3112" xml:space="preserve">Sig. </s> <s xml:id="echoid-s3113" xml:space="preserve">Oſreddi <lb/>ſi compiacia riſpondermi. </s> <s xml:id="echoid-s3114" xml:space="preserve">Quanti piedi è l´ A G?</s> <s xml:id="echoid-s3115" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3116" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3117" xml:space="preserve">Mentre A F. </s> <s xml:id="echoid-s3118" xml:space="preserve">è arco di 15. </s> <s xml:id="echoid-s3119" xml:space="preserve">ſecondi, A G, ſpatio <lb/>paſſato del mobile in vn ſecondo horario ſe foſle linea <lb/>retta, ſecondo li calcoli del P. </s> <s xml:id="echoid-s3120" xml:space="preserve">Riccioli nell´ Aſtronomiz <lb/>Riformata nell´Append. </s> <s xml:id="echoid-s3121" xml:space="preserve">cit. </s> <s xml:id="echoid-s3122" xml:space="preserve">ſopra nel numero 30, e, in que-<lb/>ſto numero medeſimo, è piedi 1700. </s> <s xml:id="echoid-s3123" xml:space="preserve">& </s> <s xml:id="echoid-s3124" xml:space="preserve">vn duodecimo; </s> <s xml:id="echoid-s3125" xml:space="preserve">A F, è <lb/>1700. </s> <s xml:id="echoid-s3126" xml:space="preserve">piedi; </s> <s xml:id="echoid-s3127" xml:space="preserve">e G D, qualche coſa meno; </s> <s xml:id="echoid-s3128" xml:space="preserve">onde A G, ſupera <lb/>G D, de qualche coſa più divn duodecimo di piede.</s> <s xml:id="echoid-s3129" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3130" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3131" xml:space="preserve">Adunque mentre il graue mouendoſi per A G, per-<lb/>cuote in G, con tanta velocità, come è queſta, il ſottopo-<lb/>ſto piano, farà vna percoſſa indicibile.</s> <s xml:id="echoid-s3132" xml:space="preserve"/> </p> <pb o="87" file="0099" n="99"/> <figure> <image file="0099-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0099-01"/> </figure> <p> <s xml:id="echoid-s3133" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3134" xml:space="preserve">Non Signore. </s> <s xml:id="echoid-s3135" xml:space="preserve">Perche mouendoſi il ſottopoſto <lb/>piano quaſi con pari velocità, non può riceuer la percoſſa <lb/>ſe non ſecondo quello, che manca di queſta velocità onde <lb/>eccedendolo de poco più di vn duodecimo di piede, ſecon-<lb/>do queſto farà la percoſſa. </s> <s xml:id="echoid-s3136" xml:space="preserve">Così pare anco dire il Signor <lb/>Manfredi in queſto numero, mentre riferendo le parole del <lb/>Sig. </s> <s xml:id="echoid-s3137" xml:space="preserve">Borelli. </s> <s xml:id="echoid-s3138" xml:space="preserve">_Propterea quod ambo corpora æquidistantimotu,_ <lb/>_& </s> <s xml:id="echoid-s3139" xml:space="preserve">ferè æque veloci mouentur,_ ſoggiunge. </s> <s xml:id="echoid-s3140" xml:space="preserve">_Fà bene à limitar_ <lb/>_queſta col ferè, perche mentre D, per D G, nel primo ſecondo ho-_ <lb/>_rario farebbe piedi pochiſsimi, ò meno di_ 1700, & </s> <s xml:id="echoid-s3141" xml:space="preserve">_A, per A F,_ <lb/>1700. </s> <s xml:id="echoid-s3142" xml:space="preserve">_il graue A, per AG, farebbe piedi_ 1700. </s> <s xml:id="echoid-s3143" xml:space="preserve">& </s> <s xml:id="echoid-s3144" xml:space="preserve">_vna duodeci-_ <lb/>_ma di vn piede, come fù detto di ſopra, & </s> <s xml:id="echoid-s3145" xml:space="preserve">arriuarebbe à tocca-_ <lb/>_reil D, in G, non egualmente ſottratoſi con la fuga_.</s> <s xml:id="echoid-s3146" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3147" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3148" xml:space="preserve">E la GH, quanti piedi ſarebbe?</s> <s xml:id="echoid-s3149" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3150" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3151" xml:space="preserve">Sarebbe pure ſecondo il P. </s> <s xml:id="echoid-s3152" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s3153" xml:space="preserve">il Man-<lb/>fredi piedi 1700. </s> <s xml:id="echoid-s3154" xml:space="preserve">e 5. </s> <s xml:id="echoid-s3155" xml:space="preserve">duodecimi. </s> <s xml:id="echoid-s3156" xml:space="preserve">Si che ſuperarebbe A G, <lb/>di ſolo quatro duodecimi; </s> <s xml:id="echoid-s3157" xml:space="preserve">onde le percoſse ſarebbero qua- <pb o="88" file="0100" n="100"/> fi eguali, e non con quella proportione trouata dal P. </s> <s xml:id="echoid-s3158" xml:space="preserve">Ric-<lb/>cioli, che foſſe quadrupla, & </s> <s xml:id="echoid-s3159" xml:space="preserve">alzaſſe il peſo quatro volte <lb/>più alto in H, che in G. </s> <s xml:id="echoid-s3160" xml:space="preserve">Perche acciò queſto ſeguiſſe, dou-<lb/>rebbe il ſpatio GH, eſſer quadruplo del ſpatio A G.</s> <s xml:id="echoid-s3161" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3162" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3163" xml:space="preserve">E lei Sig. </s> <s xml:id="echoid-s3164" xml:space="preserve">Ofreddi non s´accorge della grandiſſima <lb/>ingiuſtitia, che richiede? </s> <s xml:id="echoid-s3165" xml:space="preserve">Saria neceſſario, che GH, foſſe <lb/>quadrupla di A G, quando A G, percoteſse ſopra G, con <lb/>tutta la ſua velocità, e non con il ſolo ecceſſo. </s> <s xml:id="echoid-s3166" xml:space="preserve">Hora non ve-<lb/>de lei, che ſe G H, foſſe quadrupla di AG; </s> <s xml:id="echoid-s3167" xml:space="preserve">e in conſequen-<lb/>za qualche coſa più della quadrupla di GD; </s> <s xml:id="echoid-s3168" xml:space="preserve">e più della <lb/>quadrupla di HI, percuoterebbe con più della tripla di A G, <lb/>ſopra H, mentre percoteua in G, con il ſolo ecceſſo di A G, <lb/>ſopra D G? </s> <s xml:id="echoid-s3169" xml:space="preserve">E´ adunque neceſſario conſiderare li ſoli ecceſ. <lb/></s> <s xml:id="echoid-s3170" xml:space="preserve">fi di A G, ſopra G D, e G H, ſopra HI, mentre queſti sono <lb/>quelli che percuotono, Se queſti non ſi eccederanno à ſuf-<lb/>ficienza alla diuerſità della percoſsa, haueranno ragione. </s> <s xml:id="echoid-s3171" xml:space="preserve"><lb/>Hora mentre A G, è piedi 1700 {1/12}. </s> <s xml:id="echoid-s3172" xml:space="preserve">e G H, piedi 1700 {1/12}. </s> <s xml:id="echoid-s3173" xml:space="preserve"><lb/>adunque H G, eccede A G, de {4/12} di piede; </s> <s xml:id="echoid-s3174" xml:space="preserve">Et A G, ſupera <lb/>G D, di più di {1/12}, Adunque H G, ſupera G D, di più di {5/12}. </s> <s xml:id="echoid-s3175" xml:space="preserve">Mà <lb/>G D, ſupera H I; </s> <s xml:id="echoid-s3176" xml:space="preserve">Adunque H G, ſupera H I, più di {5/12} di vn <lb/>Piede. </s> <s xml:id="echoid-s3177" xml:space="preserve">Ecco adunque, che il ſecondo ecceſſo, e più che qua-<lb/>druplo del primo. </s> <s xml:id="echoid-s3178" xml:space="preserve">Ecco adunque, che facendo ſi la percoſ-<lb/>ſa con queſti ecceſſi, vi è ſoprabondantemente il neceſſario. </s> <s xml:id="echoid-s3179" xml:space="preserve"><lb/>Queſti ecceſſi li trouareſſimo anco più ſoprabondanti ſe <lb/>conſideraſſimo li altri ſpatii fatti nelli altri tempi ſucceſſiui; </s> <s xml:id="echoid-s3180" xml:space="preserve"><lb/>poiche ſecondo il P. </s> <s xml:id="echoid-s3181" xml:space="preserve">Riccioli li ſpatij ſono 1700 {1/12}. </s> <s xml:id="echoid-s3182" xml:space="preserve">1700 {5/12}. </s> <s xml:id="echoid-s3183" xml:space="preserve"><lb/>1701 {1/12}. </s> <s xml:id="echoid-s3184" xml:space="preserve">1702 {2/12}. </s> <s xml:id="echoid-s3185" xml:space="preserve">Onde li eccceſſi ſono 1. </s> <s xml:id="echoid-s3186" xml:space="preserve">5. </s> <s xml:id="echoid-s3187" xml:space="preserve">13. </s> <s xml:id="echoid-s3188" xml:space="preserve">26. </s> <s xml:id="echoid-s3189" xml:space="preserve">duode-<lb/>cimi, e più, per impicciolirſi ſempre più li archi quanto più <lb/>s´accoſtiamo al centro. </s> <s xml:id="echoid-s3190" xml:space="preserve">Io in realtà non credo, che così ſuc-<lb/>ceda, mà ſtimo che mouendoſi per impoſſibile la Terra, bi-<lb/>ſognarebbe conſiderare la diſceſa nella perpendicolare; </s> <s xml:id="echoid-s3191" xml:space="preserve">mà <lb/>auco quando così foſse, il P. </s> <s xml:id="echoid-s3192" xml:space="preserve">Riccioli, & </s> <s xml:id="echoid-s3193" xml:space="preserve">il Sig, Manfredi <lb/>non hanno il ſcampo, che s´imaginano.</s> <s xml:id="echoid-s3194" xml:space="preserve"/> </p> <pb o="89" file="0101" n="101"/> <figure> <image file="0101-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0101-01"/> </figure> <p> <s xml:id="echoid-s3195" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3196" xml:space="preserve">Io non ho voluto interrompere li loro ragiona-<lb/>menti, ma nel numero 48. </s> <s xml:id="echoid-s3197" xml:space="preserve">il Sig. </s> <s xml:id="echoid-s3198" xml:space="preserve">Manfredi dice coſe molto <lb/>confacenti à ſimil propoſito. </s> <s xml:id="echoid-s3199" xml:space="preserve">In vece dell´ argomento del <lb/>Sig. </s> <s xml:id="echoid-s3200" xml:space="preserve">Borelli ne porta vn´altro da eſſo ſtimato aſſai più eui-<lb/>dente. </s> <s xml:id="echoid-s3201" xml:space="preserve">_In Siſtemate Copernicano validitates percuſſionum obli-_ <lb/>_quarum menſurari debent à phyſico, & </s> <s xml:id="echoid-s3202" xml:space="preserve">reali incremento impe-_ <lb/>_tus per viam obliquam acquiſito, quo graue deſcendens ſuper aue-_ <lb/>_rit velocitatem corporis percuſſi diurno motu verſus eandem_ <lb/>_partem fugientis._</s> <s xml:id="echoid-s3203" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3204" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3205" xml:space="preserve">Queſta è la dottrina ſoprapoſta, dalla quale hab-<lb/>biamo cauato quelle concluſioni.</s> <s xml:id="echoid-s3206" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3207" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3208" xml:space="preserve">Segue._ </s> <s xml:id="echoid-s3209" xml:space="preserve">Differentia autem percuſſionum barum, & </s> <s xml:id="echoid-s3210" xml:space="preserve">ea-<lb/>rum, quæ fierent ab eodem graui deſcendente perpendiculariter <lb/>ſupr a corpus immobile, in ſiſtemate Terræ immobilis, tanta <lb/>exiſtimanda eſt cæteris paribus, quanta eſt inter prædictum in-<lb/>crementum per viam obliquam acquiſitum, & </s> <s xml:id="echoid-s3211" xml:space="preserve">incrementum <lb/>velocitatis, quod graue acquiret deſcendendo perpendiculariter <pb o="90" file="0102" n="102"/> ſupracorpus immobile. </s> <s xml:id="echoid-s3212" xml:space="preserve">_Da queſta dottrina più diffuſamente_ <lb/>_eſplicata ne deduce, che la percoſſa in G, per AG, ſarà co-_ <lb/>_me vn {1/12} di piede; </s> <s xml:id="echoid-s3213" xml:space="preserve">e per A D, in D, immobile come 15._ <lb/></s> <s xml:id="echoid-s3214" xml:space="preserve">_piedi._</s> <s xml:id="echoid-s3215" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3216" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3217" xml:space="preserve">Quando anco cosi foſſe, ne ſeguirebbe ſolamente, <lb/>che il moto circolare debilitaſſe il diſcenſiuo proueniente <lb/>dalla grauità ſiche queſto foſſe di gran lunga più valeuole <lb/>nel ſiſtema della Terra immobile, chenon ſaria mouendoſi <lb/>la Terra. </s> <s xml:id="echoid-s3218" xml:space="preserve">Mà ſe alcuno diceſſe così eſsere, come ſi potrà con-<lb/>vincere, che cosìnon ſia? </s> <s xml:id="echoid-s3219" xml:space="preserve">Nell´vno però, enell´altro modo <lb/>ne ſeguono le medeme diuerſità di percoſsa proportionata-<lb/>mente alle maggiori, e maggiori altezze.</s> <s xml:id="echoid-s3220" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3221" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3222" xml:space="preserve">Non ſtimo però che così ſucceda, ma più toſto <lb/>penſo, che faceſse la medeſima percoſſa tanto mouendoſi, <lb/>quanto ſtando ferma la Terra. </s> <s xml:id="echoid-s3223" xml:space="preserve">Ecredo, che ſe poſſi proua-<lb/>re da quelle dottrine del Galileo, che lei hà ſopra recitate, <lb/>cioè che mouendoſi il graue per piani perpendicolare, & </s> <s xml:id="echoid-s3224" xml:space="preserve"><lb/>inclinato, quando arriua ella medeſima Orizontale hà ac-<lb/>quiſtato eguali empiti, ò velocità, dalle quali dependono <lb/>le varietà delle percoſſe del medeſimo graue. </s> <s xml:id="echoid-s3225" xml:space="preserve">Mentre adun-<lb/>que, che A G, à parere del P. </s> <s xml:id="echoid-s3226" xml:space="preserve">Riccioli, e del Sig. </s> <s xml:id="echoid-s3227" xml:space="preserve">Manfre-<lb/>di, è quaſi linea retta; </s> <s xml:id="echoid-s3228" xml:space="preserve">eſsendo, che il graue cadente da A, <lb/>per A G, AD, nelli punti G, D, è nella medema Orizontale; <lb/></s> <s xml:id="echoid-s3229" xml:space="preserve">hauerà empiti eguali. </s> <s xml:id="echoid-s3230" xml:space="preserve">Così ſe ſupponendo AG, retta, <lb/>queſta foſſe prodotta ſino all´Orizontale E H; </s> <s xml:id="echoid-s3231" xml:space="preserve">in quel punto <lb/>doue la diuideſse haurebbe il medeſimo empito come in E. </s> <s xml:id="echoid-s3232" xml:space="preserve"><lb/>Mà perche ſeguitando il moto per G H, queſta è anco meno <lb/>inclmara ſopra H E, di quella prodotta; </s> <s xml:id="echoid-s3233" xml:space="preserve">non vi è ragione, <lb/>che percotendo in H, per GH, habbia da non hauer tanto <lb/>empito quanto in E.</s> <s xml:id="echoid-s3234" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3235" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3236" xml:space="preserve">Nel numero 49. </s> <s xml:id="echoid-s3237" xml:space="preserve">dice non eſserſi ſeruito il P. </s> <s xml:id="echoid-s3238" xml:space="preserve">Ric-<lb/>cioli dell´eſsempio vſitato dalli Copernicani della Naue, e <lb/>del graue cadente dall´ albero, per non eſsere à propoſito; <lb/></s> <s xml:id="echoid-s3239" xml:space="preserve">perche il moto all´ingiù è da cauſa intrinſeca, e il circolare <lb/>da eſtrinſeca.</s> <s xml:id="echoid-s3240" xml:space="preserve"/> </p> <pb o="91" file="0103" n="103"/> <p> <s xml:id="echoid-s3241" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3242" xml:space="preserve">Già habbiamo detto, che non ſapiamo vedere, per-<lb/>chele le linee deſcritte da´moti habbino d´hauere queſta auer-<lb/>tenza di laſciarſi deſcriuere quando li principij mouenti <lb/>vno è eſtrinſeco, l´altro intrinſeco; </s> <s xml:id="echoid-s3243" xml:space="preserve">e non quando ambidua <lb/>ſono intrinſeci.</s> <s xml:id="echoid-s3244" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3245" xml:space="preserve">Dice che in queſto quantunque il graue ſitrouaſse in <lb/>punti di diuerſe perpendicolari parallele all´Albero; </s> <s xml:id="echoid-s3246" xml:space="preserve">non <lb/>per queſto diſcenderebbe per la perpendicolare.</s> <s xml:id="echoid-s3247" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3248" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3249" xml:space="preserve">Sarebbe in punti di diuerſe perpendicolari imagi-<lb/>naire, che ſono immobili, ma nella medeſima perpendico-<lb/>lare fiſica moſsa con ilmedeſimo moto circolare.</s> <s xml:id="echoid-s3250" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3251" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3252" xml:space="preserve">Dice che chi_ foſſe fuori dell´ Atmosfera lo vedrebbe <lb/>diſcender per vna ſola linea curua à trauer ſo ſimile alla parabo-<lb/>lica, ò alla ſpirale.</s> <s xml:id="echoid-s3253" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3254" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3255" xml:space="preserve">Queſta è vna viuanda ſtata mille volte in Tauola. <lb/></s> <s xml:id="echoid-s3256" xml:space="preserve">Nè per quanto vedo, il Sig. </s> <s xml:id="echoid-s3257" xml:space="preserve">Manfredi fà diſtintione trà la <lb/>parabola, ela ſpirale deſcritta da queſto mobile.</s> <s xml:id="echoid-s3258" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3259" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3260" xml:space="preserve">Dice anco, che ſe l´empito foſse molto gagliardo, <lb/>farebbe il graue aſsai minor colpo mouendoſi la Naue, che <lb/>ſtando ferma. </s> <s xml:id="echoid-s3261" xml:space="preserve">Mà che però il P. </s> <s xml:id="echoid-s3262" xml:space="preserve">Riccioli non hauendo fat-<lb/>to eſperienza di ciò, non hà giudicato adoprare queſto eſ-<lb/>ſempio.</s> <s xml:id="echoid-s3263" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3264" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3265" xml:space="preserve">Nèmeno noi habbiamo fatto queſta eſperienza; <lb/></s> <s xml:id="echoid-s3266" xml:space="preserve">onde quanto à queſta diuerſità non ſapiamo coſa doueſse <lb/>ſuccedere; </s> <s xml:id="echoid-s3267" xml:space="preserve">e credia mo che più facilmente ſi notarebbe qual-<lb/>che diuerſità nella Naue, che nel moto della Terra. </s> <s xml:id="echoid-s3268" xml:space="preserve">Men-<lb/>tre in quella non è così facile aggiuſtar tutte le partite, e <lb/>fare, che con il medeſimo empito circolare ſi muoua Naue, <lb/>graue, e mezo; </s> <s xml:id="echoid-s3269" xml:space="preserve">ilche facilmente è aggiuſtato dalla Natura <lb/>mouendoſi la Terra.</s> <s xml:id="echoid-s3270" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3271" xml:space="preserve">Cont Nel numero 50. </s> <s xml:id="echoid-s3272" xml:space="preserve">conſidera quanto habbiamo det-<lb/>to per ſenſo del Sig. </s> <s xml:id="echoid-s3273" xml:space="preserve">Geminiano Montanari Mattematico <lb/>digniſſimo nello Studio di Bologna. </s> <s xml:id="echoid-s3274" xml:space="preserve">La dottrina in ſoſtan-<lb/>za è queſta. </s> <s xml:id="echoid-s3275" xml:space="preserve">Nel Schema ſeguente del P. </s> <s xml:id="echoid-s3276" xml:space="preserve">Riccioli, B L, hà <lb/>maggiore inclinatione ſopralil ſottopoſto piano di quello <lb/>habbia LM, ſopra il ſuo. </s> <s xml:id="echoid-s3277" xml:space="preserve">E queſta maggiore della MN. </s> <s xml:id="echoid-s3278" xml:space="preserve">E <pb o="92" file="0104" n="104"/> queſta maggiore della NC. </s> <s xml:id="echoid-s3279" xml:space="preserve">Hora eſsen do vero, che quanto <lb/>più vn mobile incontra in vno ſcopo ad angoli obliqui, fà <lb/>minor percoſsa; </s> <s xml:id="echoid-s3280" xml:space="preserve">emaggiore quanto più s´accoſta al retto; <lb/></s> <s xml:id="echoid-s3281" xml:space="preserve">neſegue, che il graue per LM, facia maggior percoſsa, che <lb/>per BL. </s> <s xml:id="echoid-s3282" xml:space="preserve">Per MN, più, che per LM. </s> <s xml:id="echoid-s3283" xml:space="preserve">E per NC, più, che per <lb/>MN.</s> <s xml:id="echoid-s3284" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3285" xml:space="preserve">Dice nel numero 51. </s> <s xml:id="echoid-s3286" xml:space="preserve">che queſta difficoltà fù già propoſta <lb/>al P. </s> <s xml:id="echoid-s3287" xml:space="preserve">Riccioli dal Sig. </s> <s xml:id="echoid-s3288" xml:space="preserve">Montanari, alla qual riſpoſe, come ho-<lb/>ra riſponde; </s> <s xml:id="echoid-s3289" xml:space="preserve">che la diuerſità delle inclinationi è tanto poca <lb/>nelli primi quatro ſecondi horarij, che non è fiſicamente <lb/>conſiderabile; </s> <s xml:id="echoid-s3290" xml:space="preserve">nè di gran lunga ſufficiente per l´incremento <lb/>della percoſsa, trouata tanta, quantiſono li quadrati delli <lb/>tempi; </s> <s xml:id="echoid-s3291" xml:space="preserve">eſsendo la diuerſità dell´inclinationi in M, minuti <lb/>45. </s> <s xml:id="echoid-s3292" xml:space="preserve">meno, che in L; </s> <s xml:id="echoid-s3293" xml:space="preserve">in N. </s> <s xml:id="echoid-s3294" xml:space="preserve">46. </s> <s xml:id="echoid-s3295" xml:space="preserve">meno, che in M; </s> <s xml:id="echoid-s3296" xml:space="preserve">e in C, 45. <lb/></s> <s xml:id="echoid-s3297" xml:space="preserve">meno che in N; </s> <s xml:id="echoid-s3298" xml:space="preserve">come hà trouato il Sig. </s> <s xml:id="echoid-s3299" xml:space="preserve">Profeſsore con li <lb/>ſuoi calcoli; </s> <s xml:id="echoid-s3300" xml:space="preserve">ſiche tutta la diuer ſità dall´L, al C, e di gradi <lb/>2:</s> <s xml:id="echoid-s3301" xml:space="preserve">16:</s> <s xml:id="echoid-s3302" xml:space="preserve">5. </s> <s xml:id="echoid-s3303" xml:space="preserve">che riſpetto al quadrante di 90. </s> <s xml:id="echoid-s3304" xml:space="preserve">gradi, nel quale ſi mi-<lb/>ſurano l´inclin atio ni, è pochiſsima.</s> <s xml:id="echoid-s3305" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3306" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3307" xml:space="preserve">La differenza di 2. </s> <s xml:id="echoid-s3308" xml:space="preserve">gradi, minuti r. </s> <s xml:id="echoid-s3309" xml:space="preserve">e ſecondi 5. </s> <s xml:id="echoid-s3310" xml:space="preserve">in <lb/>così breue ſpatio non è così poca. </s> <s xml:id="echoid-s3311" xml:space="preserve">Anzi più toſto è ecce-<lb/>dente, ſe ſi conſideraranno le debite proportioni dell´incli-<lb/>nationi, delli ſpatij paſsati, e delli tempi. </s> <s xml:id="echoid-s3312" xml:space="preserve">Quando il graue <lb/>in B, ſoſse pottato dalla ſola reuolution diurna, ſaria por-<lb/>tato come parallelo al ſottopoſto piano, cioè con la maſſima <lb/>inclinatione; </s> <s xml:id="echoid-s3313" xml:space="preserve">e partendo dalla quiete diſcenſiua, che è il <lb/>grado ditardità infinita, acquiſtarebbe minor, e minor in-<lb/>clinatione conforme che acquiſtaſse maggior, e maggior <lb/>velocità. </s> <s xml:id="echoid-s3314" xml:space="preserve">Arriua to al centro, non hauerebbe inclinatione <lb/>alcuna. </s> <s xml:id="echoid-s3315" xml:space="preserve">Si che dal B, ſino al centro haurebbe variata l´in-<lb/>clinatione per 90. </s> <s xml:id="echoid-s3316" xml:space="preserve">gradi. </s> <s xml:id="echoid-s3317" xml:space="preserve">Hora al centro non arriuarebbe, <lb/>che in ſecondi horarij 1284. </s> <s xml:id="echoid-s3318" xml:space="preserve">_circum circa_, come habbiamo <lb/>diſcorſo nel noſtro Dialogo 2. </s> <s xml:id="echoid-s3319" xml:space="preserve">pag. </s> <s xml:id="echoid-s3320" xml:space="preserve">122. </s> <s xml:id="echoid-s3321" xml:space="preserve">Si compartino <lb/>adunque 90. </s> <s xml:id="echoid-s3322" xml:space="preserve">gradi d´inclinatione in 1284. </s> <s xml:id="echoid-s3323" xml:space="preserve">ſecondi horarij, e <lb/>vedraſſi ſe li primi 4. </s> <s xml:id="echoid-s3324" xml:space="preserve">ne hanno la ſua parte ſoprabondante-<lb/>mente, hauendone grad. </s> <s xml:id="echoid-s3325" xml:space="preserve">2. </s> <s xml:id="echoid-s3326" xml:space="preserve">38. </s> <s xml:id="echoid-s3327" xml:space="preserve">52. </s> <s xml:id="echoid-s3328" xml:space="preserve">in circa. </s> <s xml:id="echoid-s3329" xml:space="preserve">Onde in confe-<lb/>quenza nelli primi quatro ſecondi horarij per li ſpatij cor- <pb o="93" file="0105" n="105"/> <anchor type="figure" xlink:label="fig-0105-01a" xlink:href="fig-0105-01"/> riſpondenti vi ſarebbe, chi poteſse cagionare queſta percol-<lb/>ſa à miſura (come ſi dice) di carbone, e ſopra la brocca.</s> <s xml:id="echoid-s3330" xml:space="preserve"/> </p> <div xml:id="echoid-div20" type="float" level="2" n="6"> <figure xlink:label="fig-0105-01" xlink:href="fig-0105-01a"> <image file="0105-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0105-01"/> </figure> </div> <p> <s xml:id="echoid-s3331" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3332" xml:space="preserve">Mà dice egli, che queſta non è ſufficiente, perche <lb/>alzando il graue che percuote in L, vn peſo come 1. </s> <s xml:id="echoid-s3333" xml:space="preserve">in M, <lb/>come 4. </s> <s xml:id="echoid-s3334" xml:space="preserve">in N, come 9. </s> <s xml:id="echoid-s3335" xml:space="preserve">in C, come 16. </s> <s xml:id="echoid-s3336" xml:space="preserve">biſognarebbe, che 12 <lb/>differenza dell´inclinationi foſle come 1. </s> <s xml:id="echoid-s3337" xml:space="preserve">à 16. </s> <s xml:id="echoid-s3338" xml:space="preserve">& </s> <s xml:id="echoid-s3339" xml:space="preserve">eſſendo in <lb/>L, dimin. </s> <s xml:id="echoid-s3340" xml:space="preserve">45. </s> <s xml:id="echoid-s3341" xml:space="preserve">ſec. </s> <s xml:id="echoid-s3342" xml:space="preserve">5. </s> <s xml:id="echoid-s3343" xml:space="preserve">foſſe in C, di min. </s> <s xml:id="echoid-s3344" xml:space="preserve">721. </s> <s xml:id="echoid-s3345" xml:space="preserve">ſec. </s> <s xml:id="echoid-s3346" xml:space="preserve">20.</s> <s xml:id="echoid-s3347" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3348" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3349" xml:space="preserve">Non ſarebbe queſto neceſſario, ogni qual volta vo-<lb/>gliamo diſcorrere come ſi deue. </s> <s xml:id="echoid-s3350" xml:space="preserve">La eleuatione del peſo è <lb/>cagionata da due principij, cioè dal graue cadente, e dalla <lb/>velocità del cadere; </s> <s xml:id="echoid-s3351" xml:space="preserve">nè li ſpatij paſsatiſono quelli, che la <lb/>cauſano, mà ſono eſſetto della velocità. </s> <s xml:id="echoid-s3352" xml:space="preserve">Quindiè, che li <pb o="94" file="0106" n="106"/> ſpatij paſsati, e l´eleuatione caminano con la medeſima <lb/>proportione delli quadrati delli tempi. </s> <s xml:id="echoid-s3353" xml:space="preserve">Hora ſe vno diceſ-<lb/>ſe; </s> <s xml:id="echoid-s3354" xml:space="preserve">mentre, chel´eleuatione in C, è all´eleuatione in L, co-<lb/>me 16. </s> <s xml:id="echoid-s3355" xml:space="preserve">ad 1. </s> <s xml:id="echoid-s3356" xml:space="preserve">adunque anco la velocità in C, alla velocità <lb/>in L, deue eſler come 16. </s> <s xml:id="echoid-s3357" xml:space="preserve">ad 1. </s> <s xml:id="echoid-s3358" xml:space="preserve">diſcorrerebbe bene, ò male? <lb/></s> <s xml:id="echoid-s3359" xml:space="preserve">Certo male. </s> <s xml:id="echoid-s3360" xml:space="preserve">Perchenon ſarebbe, che quadrupla; </s> <s xml:id="echoid-s3361" xml:space="preserve">mentre <lb/>le velocità, ouero li empiti non hanno fra ſe, che la ſola pro-<lb/>portione dellitempi; </s> <s xml:id="echoid-s3362" xml:space="preserve">& </s> <s xml:id="echoid-s3363" xml:space="preserve">ìn conſequcnza Iono in ſubdupli-<lb/>cata proportione delli ſpatii paſsati, e delle eleuationi. </s> <s xml:id="echoid-s3364" xml:space="preserve"><lb/>Così il Galileo nelli Dialogi delle due nuoue ſcienze Dia-<lb/>log. </s> <s xml:id="echoid-s3365" xml:space="preserve">3. </s> <s xml:id="echoid-s3366" xml:space="preserve">difiniſce il moto equabilmente accelerato. </s> <s xml:id="echoid-s3367" xml:space="preserve">_Motum_ <lb/>_æquabiliter ſeu vnifarmiter acceler atum dico illum, qui à quie-_ <lb/>_terecedens temporibus æqualibus æqualia celeritatis momenta_ <lb/>_ſibi ſupperadit._ </s> <s xml:id="echoid-s3368" xml:space="preserve">Se adunque la velocità, ò l´empito in L, e i. </s> <s xml:id="echoid-s3369" xml:space="preserve"><lb/>in M. </s> <s xml:id="echoid-s3370" xml:space="preserve">ſarà 2. </s> <s xml:id="echoid-s3371" xml:space="preserve">in N, 3. </s> <s xml:id="echoid-s3372" xml:space="preserve">in C, 4. </s> <s xml:id="echoid-s3373" xml:space="preserve">Hora mentre, che dal moto ſi <lb/>leua l´acceleratione, e ſi ſuſtituiſse la minore inclinatione, <lb/>queſta´non hà da ſcemare ſecondo li ſpatij, e l´eleuatione, ma <lb/>in ſubduplicata loro proportione, cioè in tempi eguali <lb/>egualmente, come in fatti quaſi fà nelli primi trè ſecondiho-<lb/>rarij dopo il primo.</s> <s xml:id="echoid-s3374" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3375" xml:space="preserve">_Con. </s> <s xml:id="echoid-s3376" xml:space="preserve">Nel numero 52. </s> <s xml:id="echoid-s3377" xml:space="preserve">dice._ </s> <s xml:id="echoid-s3378" xml:space="preserve">Aggiungiamo hora, che par-<lb/>lando della naturale percoſſa de igraui deſcendenti allo ingiù <lb/>non è vero, che la medeſima velocità nel moto varii il colpo ſe-<lb/>condo la diuer ſa inclinatione, &</s> <s xml:id="echoid-s3379" xml:space="preserve">c. </s> <s xml:id="echoid-s3380" xml:space="preserve">perche non ſi dà il caſo, che il <lb/>graue diſcendendo varij l´inclinatione ſopra l´Orizonte, e non <lb/>varij parimente la velocità, & </s> <s xml:id="echoid-s3381" xml:space="preserve">in queſti la forza deila percoſſa <lb/>non naſce dalla mera inclinatione, mà dall´impeto acquistato <lb/>per la velocità del moto.</s> <s xml:id="echoid-s3382" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3383" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3384" xml:space="preserve">Quantunque vi foſſero molte coſe da dire ſopra <lb/>queſte parole, nulladimeno dirò ſolo, che quando alcuno <lb/>affermaſſe, che la percoſſa nel moto diſcenſiuo del graue va-<lb/>riaſſe conforme la varietà dell´ eſplicata in clin atione, non <lb/>sò come lo conuinceſſe la ſua proua. </s> <s xml:id="echoid-s3385" xml:space="preserve">Dice, che non ſi dà il <lb/>caſo, che il graue diſcendendo varij inclinatione, e non va-<lb/>rij velocità. </s> <s xml:id="echoid-s3386" xml:space="preserve">Lo voglio concedere. </s> <s xml:id="echoid-s3387" xml:space="preserve">Che dice? </s> <s xml:id="echoid-s3388" xml:space="preserve">_La forza_ <lb/>_della percoſsa non naſce dalla mera inclinatione._ </s> <s xml:id="echoid-s3389" xml:space="preserve">Lo voglio <pb o="95" file="0107" n="107"/> concedere. </s> <s xml:id="echoid-s3390" xml:space="preserve">Mà da che altro naſce? </s> <s xml:id="echoid-s3391" xml:space="preserve">_Dall´impeto acquiſtato_ <lb/>_per la velocità del moto,_ Che ingiuſtitia. </s> <s xml:id="echoid-s3392" xml:space="preserve">La diuerſa incli-<lb/>natione varia certo la percoſſa, e l´eſperimentiamo tutto <lb/>giorno. </s> <s xml:id="echoid-s3393" xml:space="preserve">La diuerſa velocità varia la percoſſa. </s> <s xml:id="echoid-s3394" xml:space="preserve">E´veriſſimo. <lb/></s> <s xml:id="echoid-s3395" xml:space="preserve">L´eſperimentiamo tutto il giorno. </s> <s xml:id="echoid-s3396" xml:space="preserve">In queſto caſo ſarebbe <lb/>diuerſità d´inclinatione, e diuerſità di velocità. </s> <s xml:id="echoid-s3397" xml:space="preserve">Adunque <lb/>queſta ſola dourebbe variare la percoſſa? </s> <s xml:id="echoid-s3398" xml:space="preserve">Torno à dire, che <lb/>ingiuſtitia. </s> <s xml:id="echoid-s3399" xml:space="preserve">Varriar ebbe adunque la percoſſa al variare di <lb/>ambidua queſti principij, dirà alcuno. </s> <s xml:id="echoid-s3400" xml:space="preserve">Il che anco pare, <lb/>che corriſponda à quanto habbiamo detto. </s> <s xml:id="echoid-s3401" xml:space="preserve">Perche in ſecon-<lb/>di horarii 1248, l´inclinatione varia per 90. </s> <s xml:id="echoid-s3402" xml:space="preserve">grad. </s> <s xml:id="echoid-s3403" xml:space="preserve">& </s> <s xml:id="echoid-s3404" xml:space="preserve">in 3. </s> <s xml:id="echoid-s3405" xml:space="preserve">di <lb/>queſti per 2. </s> <s xml:id="echoid-s3406" xml:space="preserve">grad, min. </s> <s xml:id="echoid-s3407" xml:space="preserve">16. </s> <s xml:id="echoid-s3408" xml:space="preserve">ſec. </s> <s xml:id="echoid-s3409" xml:space="preserve">5. </s> <s xml:id="echoid-s3410" xml:space="preserve">quanto più ſe accoſtiamo <lb/>all´ingiù, tanto meno proportionatamente ſcemarebbe l´in-<lb/>clinatione. </s> <s xml:id="echoid-s3411" xml:space="preserve">Che ne ſeguirebbe adunque? </s> <s xml:id="echoid-s3412" xml:space="preserve">Che quanto più <lb/>il graue ſi accoſtaſſe al centro tanto più ſcemaſſe la propor-<lb/>tione della percoſſa? </s> <s xml:id="echoid-s3413" xml:space="preserve">Non, dirà alcuno. </s> <s xml:id="echoid-s3414" xml:space="preserve">Perche ſe ſi ſmi-<lb/>nuiſse la proportione nell´inclinatione, creſce la propor-<lb/>tione della velocità, che maggiormente ingrandiſce quan-<lb/>to più ſi v à all´ingiù. </s> <s xml:id="echoid-s3415" xml:space="preserve">Onde vna cauſa ſupplendo al diffetto <lb/>dell´altra, ne naſce quello, che ſperimentiamo.</s> <s xml:id="echoid-s3416" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3417" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3418" xml:space="preserve">L´vltime parole di queſto numero ſono._ </s> <s xml:id="echoid-s3419" xml:space="preserve">Eſſendo <lb/>la forza che haurehbe per la diminutione dell´inclinatione, im-<lb/>pedita, erintuzzata da quella ſteſſa caggione, che impediſce l´-<lb/>intremento della velocità nel moto, eneceſſit a il graue à diſcen-<lb/>der con moto fiſicamente vniforme, ſenza conſiderabile accele-<lb/>ratione.</s> <s xml:id="echoid-s3420" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3421" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3422" xml:space="preserve">Quello, che ſecon do il Sig. </s> <s xml:id="echoid-s3423" xml:space="preserve">Manfredi impediſce l´-<lb/>incremento dalla velocità è il moto circolare. </s> <s xml:id="echoid-s3424" xml:space="preserve">Adunque <lb/>queſto deue anco impedire la forza dell´inclinatione.</s> <s xml:id="echoid-s3425" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3426" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3427" xml:space="preserve">Queſta sì, che mi pare ſtrauagante. </s> <s xml:id="echoid-s3428" xml:space="preserve">Adunque <lb/>vrtando con moto circolare vn graue in vn ſcopo con qual <lb/>ſi ſia inclinatione farà ſempre la medeſima percoſſa? </s> <s xml:id="echoid-s3429" xml:space="preserve">Come <lb/>il Sig. </s> <s xml:id="echoid-s3430" xml:space="preserve">Manfredi hà ſimili propoſitioni può dire tutto quel-<lb/>lo, che vuole.</s> <s xml:id="echoid-s3431" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3432" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3433" xml:space="preserve">Nel numero 53. </s> <s xml:id="echoid-s3434" xml:space="preserve">dice, cauarſi da quanto hà detto <lb/>la riſpoſta alle trè cauſe addotte contro il ſuo argomento, <pb o="96" file="0108" n="108"/> che lei epiloga cart. </s> <s xml:id="echoid-s3435" xml:space="preserve">120. </s> <s xml:id="echoid-s3436" xml:space="preserve">[Lo debilita queſta inclinatione <lb/>minore ſopradetta. </s> <s xml:id="echoid-s3437" xml:space="preserve">La reale acceleratione fatta per la ſpi-<lb/>rale medeſima. </s> <s xml:id="echoid-s3438" xml:space="preserve">Mà lo eſtenua affatto, & </s> <s xml:id="echoid-s3439" xml:space="preserve">atterra la direttio-<lb/>ne del mobile all´ingiù.</s> <s xml:id="echoid-s3440" xml:space="preserve">] Dice, che nella prima, e ſecon-<lb/>da aſſertione _ſi pongono due coſe falſe; </s> <s xml:id="echoid-s3441" xml:space="preserve">la prima, che l´argomen-_ <lb/>_to del P. </s> <s xml:id="echoid-s3442" xml:space="preserve">Riccioli ſia fondato nella negatione della totale accelera-_ <lb/>_tione,, diuerſità d´inclinatione._</s> <s xml:id="echoid-s3443" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3444" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3445" xml:space="preserve">L´argomento del P. </s> <s xml:id="echoid-s3446" xml:space="preserve">Riccioli è ſtato addotto nell´-<lb/>Almageſto, e variato nell´Aſtronomia Riformata. </s> <s xml:id="echoid-s3447" xml:space="preserve">Nel pri-<lb/>mo luogo ſi ſupone la totale equabilità, mentrg ſi procu-<lb/>ra prouar il moto eſſer per portione di circonferenza. </s> <s xml:id="echoid-s3448" xml:space="preserve">Nel <lb/>ſecondo luogo ſi deduce qualche acceleracione. </s> <s xml:id="echoid-s3449" xml:space="preserve">Onde la <lb/>noftra riſpoſta vale principalmente contro iſ primo luogo. <lb/></s> <s xml:id="echoid-s3450" xml:space="preserve">Mà hauendo noiſopra dimoftrato, che anco quando ſi do-<lb/>ueſſe ſtare nel mero moto per la ſpirale, ſenza conſideratio-<lb/>ne della direttione all´ingiù, che nulladimeno vi ſarebbe <lb/>tanta acceleratione, che baſteria; </s> <s xml:id="echoid-s3451" xml:space="preserve">vale anco contro il ſe-<lb/>condo luogo. </s> <s xml:id="echoid-s3452" xml:space="preserve">Nè noi ſuponiamo, che nel ſecondo luo-<lb/>go il P. </s> <s xml:id="echoid-s3453" xml:space="preserve">Ricciolinon ſuponga qualche acceleratione, mà <lb/>non tanta ſecondo eſſo, che baſtaſſe alla diuerſità della per-<lb/>coſſa.</s> <s xml:id="echoid-s3454" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3455" xml:space="preserve">Parimente mai n´è venuto in mente, che non ſuponga <lb/>diuerſità d´inclinatione; </s> <s xml:id="echoid-s3456" xml:space="preserve">ſolo habbiamo detto, che queſta <lb/>poſſi cagionare la diuerſità della percoſsa.</s> <s xml:id="echoid-s3457" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3458" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3459" xml:space="preserve">L´altra falſa conſequenza_ è. </s> <s xml:id="echoid-s3460" xml:space="preserve">Che baſti tanto poca <lb/>acceler atione, e diuer ſità d´inclinatione per ſaluare il grandiſ-<lb/>ſimo incremento della percoſſ a realmente eſperimentata.</s> <s xml:id="echoid-s3461" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3462" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3463" xml:space="preserve">Quando non ſi ad duca altro in contrario, diremo, <lb/>che per li reſpetti ſopra accennati queſte ſono cauſe ſuffi, <lb/>cienti per queſta diuerſità.</s> <s xml:id="echoid-s3464" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3465" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3466" xml:space="preserve">Segue à dire, che la terza cauſa, cìoè la direttione <lb/>all´ingiù è falſa, &</s> <s xml:id="echoid-s3467" xml:space="preserve">c. </s> <s xml:id="echoid-s3468" xml:space="preserve">Di più dice, che queſta terza repu-<lb/>gna alia prima, e ſe è vera vna, non può cſser vera l´al-<lb/>tra.</s> <s xml:id="echoid-s3469" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3470" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3471" xml:space="preserve">Queſta è quell´obiettione, ch´io andauo meditan-<lb/>do, e che è ſodiſsima. </s> <s xml:id="echoid-s3472" xml:space="preserve">D´vn´effetto vna ſola deue eſſer la <pb o="97" file="0109" n="109"/> cagione. </s> <s xml:id="echoid-s3473" xml:space="preserve">Vnaſola di queſte tr è cauſe deue eſſer la vera, le <lb/>altre falſe.</s> <s xml:id="echoid-s3474" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3475" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3476" xml:space="preserve">Beniſſimo Sig. </s> <s xml:id="echoid-s3477" xml:space="preserve">Ofreddi. </s> <s xml:id="echoid-s3478" xml:space="preserve">Nè meno io dico, e inten-<lb/>do, che la diuerſità della percoſsa ſia cagionata dalla diret-<lb/>tione all´ingiù per la perpendicolare; </s> <s xml:id="echoid-s3479" xml:space="preserve">dall´incremento per <lb/>la ſpirale; </s> <s xml:id="echoid-s3480" xml:space="preserve">e dalla diuerſa inclinatione. </s> <s xml:id="echoid-s3481" xml:space="preserve">Mì perche il P. </s> <s xml:id="echoid-s3482" xml:space="preserve">Ric <lb/>cioli porta quel ſuo argomento, e tanto magnifica la ſua va-<lb/>lidità, che habbia fatto violenza à tutti li intelletti; </s> <s xml:id="echoid-s3483" xml:space="preserve">ſi riſ-<lb/>ponde, che ſi potria ſaluare la diuerſità della percoſſa, riſ-<lb/>pondendo in vno di quelli trè modi. </s> <s xml:id="echoid-s3484" xml:space="preserve">Io però in ſoſtanza <lb/>non ſtimo vero che il terzo; </s> <s xml:id="echoid-s3485" xml:space="preserve">perche il graue mouendoſi al-<lb/>l´ingiù (con il qual moto fà la percoſſa) per la perpendico-<lb/>lare fiſica all´Orizonte, vrta in eſſo ſempre perpendicolar-<lb/>mente.</s> <s xml:id="echoid-s3486" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3487" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3488" xml:space="preserve">Nel numero 54. </s> <s xml:id="echoid-s3489" xml:space="preserve">ſi diſcorre dell´opinione dell´Ec-<lb/>cellentiſsimo Sig. </s> <s xml:id="echoid-s3490" xml:space="preserve">Dottor Giulio Torrini lodato in ſuperla-<lb/>tiuo grado dal P. </s> <s xml:id="echoid-s3491" xml:space="preserve">Riccioli, al quale mandò il detto Torrini <lb/>da Torrino certo ſuo manoſcritto intitolato _Nicetas Ortho-_ <lb/>_doxus;_ </s> <s xml:id="echoid-s3492" xml:space="preserve">nel quale dà quaſi la medeſima riſpoſta, che habbia-<lb/>mo data noi della diſceſa per la perpendicolare, &</s> <s xml:id="echoid-s3493" xml:space="preserve">c. </s> <s xml:id="echoid-s3494" xml:space="preserve">Li riſ-<lb/>ponde in ſoſtanza quaſi con le medeſime riſpoſte, che pure <lb/>hà dato à noi.</s> <s xml:id="echoid-s3495" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3496" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3497" xml:space="preserve">Io non hò cognitione alcuna del Sig. </s> <s xml:id="echoid-s3498" xml:space="preserve">Torrini. </s> <s xml:id="echoid-s3499" xml:space="preserve">Hò <lb/>piacere conoſcerlo per le buone relationi, che me ne dà il P. <lb/></s> <s xml:id="echoid-s3500" xml:space="preserve">Riccioli, e con il mezo del Sig. </s> <s xml:id="echoid-s3501" xml:space="preserve">Manfredi, e da ſe nella Geo-<lb/>grafia Riformata. </s> <s xml:id="echoid-s3502" xml:space="preserve">Non dirò di profeſſarmi affettionato al <lb/>ſuo merito per eſſer noi concordi d´opinione, mentre io <lb/>amo, honoro, eriſpetto li virtuoſi in totti li modi. </s> <s xml:id="echoid-s3503" xml:space="preserve">E ſe be-<lb/>ne in queſti punti ſiamo tanto diſcordi con´il Sig. </s> <s xml:id="echoid-s3504" xml:space="preserve">Manfredi, <lb/>e con´il P. </s> <s xml:id="echoid-s3505" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s3506" xml:space="preserve">non per queſto dal mio canto la diſcor-<lb/>dia eccede in conto alcuno li limiti litterarij; </s> <s xml:id="echoid-s3507" xml:space="preserve">che per altro <lb/>riueriſco il loro merito, e farei ogni coſa per loro.</s> <s xml:id="echoid-s3508" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3509" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3510" xml:space="preserve">Segue à dire nel medeſimo numero, che eſſendo <lb/>l´obiettioni noſtre, e delli Signori Torrini, e Borelli inſuffi-<lb/>cienti ad oppugnare l´argomento del P. </s> <s xml:id="echoid-s3511" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s3512" xml:space="preserve">anzi con-<lb/>fermandolo maggiormente; </s> <s xml:id="echoid-s3513" xml:space="preserve">perciò giudica bene replicar- <pb o="98" file="0110" n="110"/> lo in lingua volgare, come fà. </s> <s xml:id="echoid-s3514" xml:space="preserve">Nel numero 56. </s> <s xml:id="echoid-s3515" xml:space="preserve">replica, & </s> <s xml:id="echoid-s3516" xml:space="preserve"><lb/>epiloga quanto hà detto in confermatione della maggiore, <lb/>e minore dell´argomento nell´Almageſto, & </s> <s xml:id="echoid-s3517" xml:space="preserve">Aſtronomia. <lb/></s> <s xml:id="echoid-s3518" xml:space="preserve">Cosìnel numero 58. </s> <s xml:id="echoid-s3519" xml:space="preserve">dice coſe pur iui dette, e più volte re-<lb/>plicate, e forma queſto argomento. </s> <s xml:id="echoid-s3520" xml:space="preserve">_Qual ſi voglia Siſtema_ <lb/>_nel qual ſi ſuppongono conditioni repugnanti all´euidenza Fiſi-_ <lb/>_ca di ſenſate eſperienze, & </s> <s xml:id="echoid-s3521" xml:space="preserve">alle dimoſt, ationi Mattematiche_ <lb/>_ſopra eſſe fondate; </s> <s xml:id="echoid-s3522" xml:space="preserve">e falſo euidentemente, quanto alle tali condi-_ <lb/>_tioni, e contrario all´euidenza Fiſicom attematica._</s> <s xml:id="echoid-s3523" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3524" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3525" xml:space="preserve">Che bella propoſitione. </s> <s xml:id="echoid-s3526" xml:space="preserve">Realmente degna di eſ-<lb/>ſer ſtampata, e differentiata dalle altre con caratteri più <lb/>groſſi.</s> <s xml:id="echoid-s3527" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3528" xml:space="preserve">_Cont._ </s> <s xml:id="echoid-s3529" xml:space="preserve">Tale è il Siſtema Copernicano, quanto alla diſce ſa di <lb/>alcuni corpi grani, e la percoſſa da eſſi cagionata; </s> <s xml:id="echoid-s3530" xml:space="preserve">Adun-<lb/>que, &</s> <s xml:id="echoid-s3531" xml:space="preserve">c.</s> <s xml:id="echoid-s3532" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3533" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3534" xml:space="preserve">Horsù di queſta minore ne aſpettaremo proue con-<lb/>unicenti, mentre le addotte ſin´hora non ſono di alcnn <lb/>valore.</s> <s xml:id="echoid-s3535" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3536" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3537" xml:space="preserve">Segue à dire, che non ſi è fatta alcuna mentione <lb/>del moto annuo, mentre nè meno con queſto guadagnereb. <lb/></s> <s xml:id="echoid-s3538" xml:space="preserve">bero coſa alcuna li Copernicani quanto all´ecceleratione; </s> <s xml:id="echoid-s3539" xml:space="preserve"><lb/>anzi in alcuni caſi perderebbero, &</s> <s xml:id="echoid-s3540" xml:space="preserve">c.</s> <s xml:id="echoid-s3541" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3542" xml:space="preserve">Nel numero 59. </s> <s xml:id="echoid-s3543" xml:space="preserve">dice, che diſteſe queſte riſpoſte le mo-<lb/>ſtrò al P. </s> <s xml:id="echoid-s3544" xml:space="preserve">Riccioli, acciò vedeſſe ſe haueua penetrato la ſua <lb/>mente; </s> <s xml:id="echoid-s3545" xml:space="preserve">e che il P. </s> <s xml:id="echoid-s3546" xml:space="preserve">Riccioli lo perſuaſe ad aggiungere al det-<lb/>to vn´Appendiee.</s> <s xml:id="echoid-s3547" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3548" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3549" xml:space="preserve">Perche il Sig. </s> <s xml:id="echoid-s3550" xml:space="preserve">Manfredi lo dice, io lo credo, che il <lb/>P. </s> <s xml:id="echoid-s3551" xml:space="preserve">Riccioli habbia veduto queſte ſue riſpoſte, & </s> <s xml:id="echoid-s3552" xml:space="preserve">approuate. <lb/></s> <s xml:id="echoid-s3553" xml:space="preserve">Che per altro, parmi impoſſibile, che vn Vecchio di 70. </s> <s xml:id="echoid-s3554" xml:space="preserve">an <lb/>ni, incallito nelle mattematiche non habbia oſſeruato li <lb/>puerili sbagli geometrici, che contengono; </s> <s xml:id="echoid-s3555" xml:space="preserve">maſſime in <lb/>quelli calcoli, e diſcorſi della ſemità del moto per circon-<lb/>ferenza.</s> <s xml:id="echoid-s3556" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3557" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3558" xml:space="preserve">Dice in queſta Appendice nel numero 60. </s> <s xml:id="echoid-s3559" xml:space="preserve">che <lb/>nell´argomento del P. </s> <s xml:id="echoid-s3560" xml:space="preserve">Riccioli per non partirſi dalle ſuppo-<lb/>ſitioni del Galileo, e ſeruirſi di eſſe contro lui furno admeſ- <pb o="99" file="0111" n="111"/> ſe 4. </s> <s xml:id="echoid-s3561" xml:space="preserve">ſuppoſitioni improbabili; </s> <s xml:id="echoid-s3562" xml:space="preserve">eſſendo naturali le op-<lb/>poſte.</s> <s xml:id="echoid-s3563" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3564" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3565" xml:space="preserve">Sel´hà admeſſe tal ſia di lui. </s> <s xml:id="echoid-s3566" xml:space="preserve">Nè noi habbiamo <lb/>conſiderati li ſuoi argomenti ſe non come da eſſo ſuppoſti <lb/>Mà qualiſono queſte ſuppoſitioni?</s> <s xml:id="echoid-s3567" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3568" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3569" xml:space="preserve">_La primaè, che gir ando la Terra intorno al ſuo cen-_ <lb/>_tro, ancoli corpi Terrestri da eſſa diſtaccati debbano girare al_ <lb/>_pari dieſſa con la reuolution diurna._ </s> <s xml:id="echoid-s3570" xml:space="preserve">Dice ciò eſſer neceſla-<lb/>rio, che ſuppongano li Copernicani, perche vn graue ele-<lb/>uato ſopra vn determinato punto della ſuperficie Terrena, <lb/>ricade ſopra eſſo.</s> <s xml:id="echoid-s3571" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3572" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3573" xml:space="preserve">Tanto in fatti dicono li Copernicani, e portano à <lb/>queſto propoſito molte eſperienze, che così doueſſe ſucce-<lb/>dere. </s> <s xml:id="echoid-s3574" xml:space="preserve">Secondo eſſi adunque la reuolution diurna è commu-<lb/>ne alla Terra, tutti li corpiterreſtri, & </s> <s xml:id="echoid-s3575" xml:space="preserve">aria rachiuſa dalle <lb/>cime de Monti. </s> <s xml:id="echoid-s3576" xml:space="preserve">Se il Signor Manfredi non rimane in ciò <lb/>perſuaſo da quanto dicono tanti grand´huomini con tante <lb/>eſperienze fiſiche, che così doueſſe ſuccedere quando la <lb/>Terra ſi moueſſe; </s> <s xml:id="echoid-s3577" xml:space="preserve">nè à me dà l´animo di perſuaderlo, nè me-<lb/>no lovoglio fare; </s> <s xml:id="echoid-s3578" xml:space="preserve">mentre, come hà detto ſopra il Signor <lb/>Ofreddi, la mia intentione non è altra che conſiderare la va-<lb/>lidità di quelle ſue ragioni, quali egli l´hà portate. </s> <s xml:id="echoid-s3579" xml:space="preserve">Oſſerua-<lb/>ſi però, che ſe il moto circolare foſſe proprio ditutti li corpi <lb/>terreſtri come tali, all´hora ſecondarebbero egualmente il <lb/>moto ditutta la Terra. </s> <s xml:id="echoid-s3580" xml:space="preserve">Mà ſe foſſe in eſſi per participatione, <lb/>e quaſi dæ certo impulſo communicatoli dal moto della <lb/>Terra; </s> <s xml:id="echoid-s3581" xml:space="preserve">all´hora non ſarebbe neceſſario che apuntino li gra-<lb/>ui ſeguiſsero il moto della Terra; </s> <s xml:id="echoid-s3582" xml:space="preserve">eſtinguen doſi in eſſi ſtac-<lb/>cati dal tutto (inſenſibilmente però per la picciolezza del <lb/>tempo) l´empito impreſſoli dal moto circolare. </s> <s xml:id="echoid-s3583" xml:space="preserve">Tanto in <lb/>fatti dicono molti ſeguire. </s> <s xml:id="echoid-s3584" xml:space="preserve">E del perpetuo moto dell´Acqua, <lb/>e vento verſo Occidente nella Zona Torrida, molti non aſ-<lb/>ſegnano altra cagione, ſenon, che mouendoſi la Terra ver-<lb/>ſo Oriente con la reuolution diurna, l´Acqua, & </s> <s xml:id="echoid-s3585" xml:space="preserve">Aria come <lb/>corpi da eſſa ſtaccati, non foſsero con la medeſima velocità <lb/>rapite; </s> <s xml:id="echoid-s3586" xml:space="preserve">che perciò ſi moueſsero verſo Occidente. </s> <s xml:id="echoid-s3587" xml:space="preserve">Et il Ga- <pb o="100" file="0112" n="112"/> lileo vuole, che queſta ſia la cagione del fluſso, e refluſſo del <lb/>mare.</s> <s xml:id="echoid-s3588" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3589" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3590" xml:space="preserve">Mà quando alcuno diceſse eſser vero, che li cor-<lb/>pi ſtaccati dalla Terra perdeſsero qualche poco di quell´em <lb/>pito circolare, che haueuauo vniti con´ eſsa; </s> <s xml:id="echoid-s3591" xml:space="preserve">& </s> <s xml:id="echoid-s3592" xml:space="preserve">in conſe-<lb/>quenza cadere qualche tantino più Occidentali, come vor-<lb/>rebbe il Signor Manfredi conuincer queſti con´eſperienze? <lb/></s> <s xml:id="echoid-s3593" xml:space="preserve">Faciaſi che eſperienza ſi vuole; </s> <s xml:id="echoid-s3594" xml:space="preserve">ſi alzi il corpo à perpendi-<lb/>colo quanto ſi vuole, che mai credo, che in pratica poſsa-<lb/>ſuccedere, ſe non per accidente, che il graue ricada nel me-<lb/>deſimo luogo apuntino. </s> <s xml:id="echoid-s3595" xml:space="preserve">Perche li impediméti che riceue nel <lb/>diſcendere prouenienti dalla diuerſità della ſua corpulen-<lb/>za; </s> <s xml:id="echoid-s3596" xml:space="preserve">diuerſa poſitura di ſuperficie; </s> <s xml:id="echoid-s3597" xml:space="preserve">aria agitata da venti; </s> <s xml:id="echoid-s3598" xml:space="preserve">di-<lb/>uerſi altri accidenti, ſono tanto varij, che non poſsono dar-<lb/>ne vniformità.</s> <s xml:id="echoid-s3599" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3600" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s3601" xml:space="preserve">Io credo che il caſo in queſte eſperienze habbia vna <lb/>gran parte; </s> <s xml:id="echoid-s3602" xml:space="preserve">come credo ſia ſucceſso in quello che mi diſse <lb/>vna volta vn Suedeſe haver eſperimétato il Carteſio, non sò <lb/>ſe l´habbia veduto ſcritto in qualche luogo delle ſue opere, <lb/>del quale io non mi arrecordo, ò lo ſapia altronde. </s> <s xml:id="echoid-s3603" xml:space="preserve">Dice, <lb/>che queſti aggiuſtò vn Cannone perpendicolare all´Orizon-<lb/>te, e lo puntello con´ogni più diligente induſtria, di modo <lb/>che ſi conſeruaſse ſempre perpendicolare; </s> <s xml:id="echoid-s3604" xml:space="preserve">poi caricandolo, <lb/>ce diede fuoco, mi diſse egli, 24. </s> <s xml:id="echoid-s3605" xml:space="preserve">volte.</s> <s xml:id="echoid-s3606" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3607" xml:space="preserve">Gont. </s> <s xml:id="echoid-s3608" xml:space="preserve">Succeſse mai, che la palla ricadeſse ſopra il pez-<lb/>zo?</s> <s xml:id="echoid-s3609" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3610" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3611" xml:space="preserve">Oibò. </s> <s xml:id="echoid-s3612" xml:space="preserve">Sempre ricadè più Orientale, ò più Occi-<lb/>dentale. </s> <s xml:id="echoid-s3613" xml:space="preserve">Mà perche il caſo portò che de 24. </s> <s xml:id="echoid-s3614" xml:space="preserve">volte, 22. </s> <s xml:id="echoid-s3615" xml:space="preserve">cadeſ-<lb/>ſe più Occidentale; </s> <s xml:id="echoid-s3616" xml:space="preserve">pareua al Carteſio hauer vn´euidente <lb/>eſperienza del moto della Terra; </s> <s xml:id="echoid-s3617" xml:space="preserve">quale non eſsendo pre-<lb/>ciſamente ſeguito dal globo nel tempo, che conſumaua ad <lb/>andar insù, eritornar in giù, cagionaſse, che ricadeſse più <lb/>Occidentale.</s> <s xml:id="echoid-s3618" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3619" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3620" xml:space="preserve">Queſta eſperienza è tanto difficile, & </s> <s xml:id="echoid-s3621" xml:space="preserve">è ſottopoſta <lb/>à tanti accidenti, che anco quando ſoſse così ſucceſso, me- <pb o="101" file="0113" n="113"/> ritamente douerebbe eſſer ciò aſcritto al caſo, e non ad al-<lb/>tro. </s> <s xml:id="echoid-s3622" xml:space="preserve">Seguiti Sig. </s> <s xml:id="echoid-s3623" xml:space="preserve">Conte à riferire quanto dice il Signor <lb/>Manfredi.</s> <s xml:id="echoid-s3624" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3625" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3626" xml:space="preserve">Dice, che prouenga il moto all´ingiù da qual ſi <lb/>ſia cauſa, dourebbe il graue diſcender per la perpendico-<lb/>lare, ſenza deſcriuer con principio intrinſeco vna linea-<lb/>curua più di 100. </s> <s xml:id="echoid-s3627" xml:space="preserve">volte maggiore della ſemplice perpen-<lb/>dicolare.</s> <s xml:id="echoid-s3628" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3629" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3630" xml:space="preserve">Diſcenderebbe il graue per la medeſima perpendi-<lb/>colare mouendoſi, ò ſtando ferma la Terra: </s> <s xml:id="echoid-s3631" xml:space="preserve">eſſendo, come <lb/>è la Terra immobile, diſcende per la perpendicolare immo-<lb/>bile; </s> <s xml:id="echoid-s3632" xml:space="preserve">mà mouendoſi la Terra, diſcenderebbe per la perpen-<lb/>dicolare girata.</s> <s xml:id="echoid-s3633" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3634" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3635" xml:space="preserve">Dice, che di queſto moto curuilineo non ſi può <lb/>portare alcuna ragione _à priori_ ſoda; </s> <s xml:id="echoid-s3636" xml:space="preserve">che perciò, &</s> <s xml:id="echoid-s3637" xml:space="preserve">c.</s> <s xml:id="echoid-s3638" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3639" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3640" xml:space="preserve">Credo, che il Sig. </s> <s xml:id="echoid-s3641" xml:space="preserve">Manfredi penſi che queſte ſue <lb/>dottrine ſijno ſtrauaganti; </s> <s xml:id="echoid-s3642" xml:space="preserve">nel che moſtra hauere molta po-<lb/>ca pratica nelle opere del medeſimo P. </s> <s xml:id="echoid-s3643" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s3644" xml:space="preserve">Queſte <lb/>ſono coſe vecchie, e rancide, e conſiderate più volte dal P. <lb/></s> <s xml:id="echoid-s3645" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s3646" xml:space="preserve">Il quale però non ne fà gran capitale, ſtimando <lb/>non vi eſser altre raggioni conuincenti di falſità il Siſtema <lb/>Copernicano, che le ſue.</s> <s xml:id="echoid-s3647" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3648" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3649" xml:space="preserve">Lei dice il vero. </s> <s xml:id="echoid-s3650" xml:space="preserve">Queſte dottrine non numera-<lb/>no minor anni de quanti ne conti il Siſtema Copernicano; <lb/></s> <s xml:id="echoid-s3651" xml:space="preserve">il quale è già decrepito, hauendo hauuto origine, per le <lb/>memorie che habbiamo, ſino circa li tempi di Pitagora. </s> <s xml:id="echoid-s3652" xml:space="preserve">Di-<lb/>ce il Sig. </s> <s xml:id="echoid-s3653" xml:space="preserve">Manfredi, che di queſto deſcriuer la linea curua <lb/>nel diſcender il graue, &</s> <s xml:id="echoid-s3654" xml:space="preserve">c. </s> <s xml:id="echoid-s3655" xml:space="preserve">non ſi può apportar ragione <lb/>alcuna ſoda _à priori._ </s> <s xml:id="echoid-s3656" xml:space="preserve">La ragione è, che mouendoſi la Ter-<lb/>ra, de neceſſità così doueria ſuccedere in virtù del moto cir-<lb/>colare impreſſo nel graue, che non ſi eſtinguerebbe ſubito, <lb/>ſubito ſeparato il graue dal corpo della Terra. </s> <s xml:id="echoid-s3657" xml:space="preserve">Onde ſup-<lb/>poſto falſamente il moto della Terra, queſto è la cagione <lb/>neceſſaria di quel moto. </s> <s xml:id="echoid-s3658" xml:space="preserve">Queſto viene confermato da infi-<lb/>nite eſperienze. </s> <s xml:id="echoid-s3659" xml:space="preserve">Ne baſti à noivna conſiderata dal Galileo. </s> <s xml:id="echoid-s3660" xml:space="preserve"><lb/>Siamo nella Camera di vna Naue. </s> <s xml:id="echoid-s3661" xml:space="preserve">Viſia vn ſecchiello pie- <pb o="102" file="0114" n="114"/> no d´Acqua, che habbia nel fondo attaccato vn cannellino <lb/>dal quale poſſa vſcir l´Acqua. </s> <s xml:id="echoid-s3662" xml:space="preserve">Sia ſotto poſto altro vaſo di <lb/>bocca anguſtiſſima, nel quale cada l´Acqua. </s> <s xml:id="echoid-s3663" xml:space="preserve">Simuoua, ò <lb/>ſtia ferma la Naue, ſempre l´Acqua entrara per il medeſimo <lb/>bucchino. </s> <s xml:id="echoid-s3664" xml:space="preserve">Perche l´Acqua non cade tanto più lontano nel-<lb/>la parte oppoſta al moto della Naue? </s> <s xml:id="echoid-s3665" xml:space="preserve">Perche queſt o è com-<lb/>mune à tutti quelli corpi. </s> <s xml:id="echoid-s3666" xml:space="preserve">Onde ſe bene la grauità porta in-<lb/>giù l´Acqua per la perpendicolare; </s> <s xml:id="echoid-s3667" xml:space="preserve">meſcolato queſto mo-<lb/>to con quello della Naue, da queſta miſtione ne riſulta la-<lb/>linea curua maggiore della perpendicolare nel ſpatio mon-<lb/>dano. </s> <s xml:id="echoid-s3668" xml:space="preserve">Quanto accade in queſta eſperienza, più aggiuſta-<lb/>tamente doueria ſuccedere nel moto della Terra, mentre <lb/>queſto moto ſarebbe molto più aggiuſtato di quello della <lb/>Naue.</s> <s xml:id="echoid-s3669" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3670" xml:space="preserve">_Cont._ </s> <s xml:id="echoid-s3671" xml:space="preserve">La ſeconda ſuppoſitione è, che quando bene li corpi <lb/>terreſtri diſtaccati dalla terra gir aſſero al pari di eſſa, per con-<lb/>formarſi, come parti al moto del ſuo Tutto, debbano diſcender. <lb/></s> <s xml:id="echoid-s3672" xml:space="preserve">Mà hà più del probabile, che l´impeto del moto diurno preuale-<lb/>rebbe tanto alla grauità, ò principio diſcenſiuo, che impedireb-<lb/>be totalmente l´atto ſecondo di queſto.</s> <s xml:id="echoid-s3673" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3674" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3675" xml:space="preserve">Io ſonodi parere, che non impedirebbe in conto <lb/>alcuno, mentre tanto il moto circolare, quanto il diſcenſiuo <lb/>rimireriano il medeſimo centro in tutte le ſue parti. </s> <s xml:id="echoid-s3676" xml:space="preserve">Nè il <lb/>moto circolare ſaria nuouamente impreſſo ne! graue, mà <lb/>vniformemente perpetuo.</s> <s xml:id="echoid-s3677" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3678" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3679" xml:space="preserve">Dice, che_ Se vogliamo argument are non à capriccio <lb/>mà à notioribus, noi vediamo, che vna pietra girat a attorno da <lb/>vna fiomba lung a due piedi in circa, e che in vn batter di polſo <lb/>fàvn giro di piedi circa 13. </s> <s xml:id="echoid-s3680" xml:space="preserve">per la velocità del girò viene af-<lb/>fatto impedita, ſiche niente diſcende, & </s> <s xml:id="echoid-s3681" xml:space="preserve">il medeſimo vediamo <lb/>in vn ſecchiarello dentroui l´Acquagirat a velocemente con vna <lb/>fune, perche quando paſſa il ſemicircolo ſuperiore delgiro, non <lb/>cade pure una goccia d´Acqua da eſſa contenuta. </s> <s xml:id="echoid-s3682" xml:space="preserve">_Eſſendo adun-_ <lb/>_que il moto circolare del graue tanto, e tanto più veloce,_ <lb/>_non doucrebbe queſto diſcender, &</s> <s xml:id="echoid-s3683" xml:space="preserve">c._</s> <s xml:id="echoid-s3684" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3685" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3686" xml:space="preserve">Il primo eſsempio della fiomba lo potiamo trala- <pb o="103" file="0115" n="115"/> ſciare, mentre il graue eſſendo in eſsa quaſi imprigionato, e <lb/>dalla medeſima impedito al diſcendere. </s> <s xml:id="echoid-s3687" xml:space="preserve">Più bello è l´eſ-<lb/>ſempio del ſecchio; </s> <s xml:id="echoid-s3688" xml:space="preserve">mà tanto differente dal moto delli gra-<lb/>ui nell Ipoteſi Copernicana, che non hà punto che fare con <lb/>eſſo. </s> <s xml:id="echoid-s3689" xml:space="preserve">Primieramente il moto circolare del ſecchio rimira <lb/>vn centro, e la grauità lo conduce à quello del mondo. </s> <s xml:id="echoid-s3690" xml:space="preserve">Se-<lb/>condo l´Acquanel ſecchio è contigua in parte con eſſo, e <lb/>queſta contiguità impediſce ilſtaccamento, e moto all´in-<lb/>giù. </s> <s xml:id="echoid-s3691" xml:space="preserve">Terzo la medeſima aria impediſce molto il ſtaccarſi <lb/>le parti del liquido dalle altre, come vediamo ſuccedere <lb/>aprendo il vaſo dalla parte diſotto, che l´Acqua è in parte <lb/>impedita dall´aria à ſcendere, nè ſcende, che in tempo. <lb/></s> <s xml:id="echoid-s3692" xml:space="preserve">Queſto maggiormente deue ſuccedere con quel moto ve-<lb/>lociſſimo circolare. </s> <s xml:id="echoid-s3693" xml:space="preserve">Quarto per la diuerſità di poſitura le <lb/>parti dell´Acqua diuerſamente ſi sforzano diſcendere, e de-<lb/>uono fare motioni contrarie, che non poſſono ſortire il lo-<lb/>ro effetto, che in tempo, il quale non viene conceſso dalla <lb/>velocità del moto circolare. </s> <s xml:id="echoid-s3694" xml:space="preserve">Eſplico meglio queſto capo. </s> <s xml:id="echoid-s3695" xml:space="preserve"><lb/>Queſto moto circolare è compoſto di due ſemicircoli, cioè <lb/>ſuperiore, & </s> <s xml:id="echoid-s3696" xml:space="preserve">inferiore. </s> <s xml:id="echoid-s3697" xml:space="preserve">Quando ſi deſcriue il ſemicircolo in-<lb/>feriore, le parti dell´Acqua più vicine al fondo ſono le pri-<lb/>me, che con la loro grauità procurano diſcender, e le più <lb/>remote grauitano ſopra queſte, e le premono. </s> <s xml:id="echoid-s3698" xml:space="preserve">Quando poi <lb/>ſi deſcrine il ſemicircolo ſuperiore le parti d´ Aqua più lon-<lb/>tane dal fondo deuono eſſer le prime à diſcender. </s> <s xml:id="echoid-s3699" xml:space="preserve">Hora ſe <lb/>conſideraremo bene queſti connati di diſcendere vedere. </s> <s xml:id="echoid-s3700" xml:space="preserve"><lb/>mo, che reſpetto all´Acqua ſono motioni contrarie, benche <lb/>rimirino il medeſimo centro della Terra; </s> <s xml:id="echoid-s3701" xml:space="preserve">e che l´atto di di-<lb/>ſcendere nella parte inferiore è oppoſto reſpetto alle parti <lb/>dell´Acqua al diſcender nella parte ſuperiore. </s> <s xml:id="echoid-s3702" xml:space="preserve">Onde il paſ-<lb/>ſar da vn´atto all´altro oppoſto non ſi può fare che in tempo, <lb/>il quale non è conceſſo dalla velocità del moto circolare.</s> <s xml:id="echoid-s3703" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3704" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3705" xml:space="preserve">La terza ſuppoſitione credo hauer queſto ſenſo. <lb/></s> <s xml:id="echoid-s3706" xml:space="preserve">Cioè ſupponer li Copernicani, che il moto diſcenſiuo prin-<lb/>cipij ſubito; </s> <s xml:id="echoid-s3707" xml:space="preserve">e che mouen doſi, ò nò la Terra, il graue in vn <lb/>ſecondo horario diſcenda per 15. </s> <s xml:id="echoid-s3708" xml:space="preserve">piedi. </s> <s xml:id="echoid-s3709" xml:space="preserve">Non diſcendereb.</s> <s xml:id="echoid-s3710" xml:space="preserve"> <pb o="104" file="0116" n="116"/> be cosìmentre per qualche tempo per l´empito diurno ſa-<lb/>rebbe ſoſtenuto nel medeſimo arco BH. </s> <s xml:id="echoid-s3711" xml:space="preserve">come vediamo ſuc-<lb/>cedere, che _l´empito impreſſo nella palla dell´archibugio, ouero_ <lb/>_dell´ artiglieria, preuale tanto alla grauità della palla, che non_ <lb/>_comincia eſſa à diſcendere, ſe non dopo lungo ſpatio, e colpiſce il_ <lb/>_berſaglio di punto in bianco, caminando per lungo tratto per_ <lb/>_vna linea Orizontale, e poi comincia pian piano à declinare da_ <lb/>_eſſa linea molto ſimile alla parabolica_.</s> <s xml:id="echoid-s3712" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3713" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3714" xml:space="preserve">S´inganna molto il Sig. </s> <s xml:id="echoid-s3715" xml:space="preserve">Manfredi ſe crede, che la <lb/>palla ſia cacciata dal fuoco nè anco per vn momento per la <lb/>linea Orizontale. </s> <s xml:id="echoid-s3716" xml:space="preserve">Subito vſcita la palla dalla Canna del <lb/>pezzo principia à ſcendere, mà vſcendo, il moto diſcenſiuo <lb/>nel principio è lẽtiſsimo, e il traſuerſale velociſſimo: </s> <s xml:id="echoid-s3717" xml:space="preserve">quindi <lb/>è, che caminando per la parabolica, che per la fua ampiez-<lb/>za pochiſſimo in queſto principio ſi ſcoſta dalla tangente <lb/>Orizontale, colpiſce, come ſi ſuol dire, di punto in bianco-<lb/>Non già, che mai ſtaccata dal pezzo camini per la tangente <lb/>continuata con la rettitudine del pezzo. </s> <s xml:id="echoid-s3718" xml:space="preserve">Tanto ſuccedereb-<lb/>be mouendoſi la Terra. </s> <s xml:id="echoid-s3719" xml:space="preserve">Nè mai il graue ſi mouerebbe ſo-<lb/>lo circolarmente, ſtaccato che foſſe dal ſuo ſoſtentacolo; </s> <s xml:id="echoid-s3720" xml:space="preserve">mà <lb/>ſubito principiarebbe diſcendere.</s> <s xml:id="echoid-s3721" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3722" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3723" xml:space="preserve">La quarta ſuppoſitione è ſttata, che diſcendendo <lb/>il graue per via obliqua colpiſce, o percoteſſe nel ſottopo-<lb/>ſto piano, mà dice che ſolo toccarebbe. </s> <s xml:id="echoid-s3724" xml:space="preserve">E diſcorre così. </s> <s xml:id="echoid-s3725" xml:space="preserve">II <lb/>graue B, cadendo verſo A, nel ſine di 4. </s> <s xml:id="echoid-s3726" xml:space="preserve">ſecondi horarij ter-<lb/>minarebbe la diſceſa per BLMNC, ſopra l´A, trasferito in <lb/>C, & </s> <s xml:id="echoid-s3727" xml:space="preserve">haueria con il moto diurno fatto l´A, l´arco AC, di <lb/>piedi proſſimamente 6798. </s> <s xml:id="echoid-s3728" xml:space="preserve">& </s> <s xml:id="echoid-s3729" xml:space="preserve">il graue B, la via obliqua <lb/>BLMNC, di piedi 1702. </s> <s xml:id="echoid-s3730" xml:space="preserve">(credo voglia dire 6702). </s> <s xml:id="echoid-s3731" xml:space="preserve">Hora <lb/>ſe queſto graue per la via obliqua non haueſſe fatto in que-<lb/>ſto tempo che piedi 6798. </s> <s xml:id="echoid-s3732" xml:space="preserve">non arriuarebbe à toccare il cor-<lb/>po C, mà ſarebbe nella linea CN, da eſſo lontano per qua-<lb/>tro piedi, dunque per arriuare al ſemplice contatto di C, bi-<lb/>ſogna che faci quelli quatro piedi di più; </s> <s xml:id="echoid-s3733" xml:space="preserve">e non hauendo <lb/>guadagnato maggior impeto, e velocità ſopra la fuga di A, <lb/>in C, non vi è ragione di dire, che lo ſpatio di quatro piedi <pb o="105" file="0117" n="117"/> <anchor type="figure" xlink:label="fig-0117-01a" xlink:href="fig-0117-01"/> ſudetri ſerua per più, che per arriuare al mero contatto del <lb/>corpo C, eſſendo coſtretto à compirli per eſler la BLMNC, <lb/>via più lunga dell´arco AC.</s> <s xml:id="echoid-s3734" xml:space="preserve"/> </p> <div xml:id="echoid-div21" type="float" level="2" n="7"> <figure xlink:label="fig-0117-01" xlink:href="fig-0117-01a"> <image file="0117-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/D67ADBE5/figures/0117-01"/> </figure> </div> <p> <s xml:id="echoid-s3735" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3736" xml:space="preserve">Se deuo confeſſare il vero, io non intendo in conto <lb/>alcuno quello, che dice il Sig. </s> <s xml:id="echoid-s3737" xml:space="preserve">Manfredi. </s> <s xml:id="echoid-s3738" xml:space="preserve">Quello, che lui <lb/>dice è prima falſo; </s> <s xml:id="echoid-s3739" xml:space="preserve">perche la percoſsa dipende dalla diret-<lb/>tione all´ingiù, della quale eſſendo totalmente priuo il ſot-<lb/>topoſto corpo A, riceue la percoſſa ſecondo tutta queſta di-<lb/>rettione. </s> <s xml:id="echoid-s3740" xml:space="preserve">Mà anco quando voleſſimo conſiderare la ſola via <lb/>obliqua A L M N C, queſta ſarebbe paſſata dal graue nel <lb/>tempo medeſimo, che A, paſlaſſe in C; </s> <s xml:id="echoid-s3741" xml:space="preserve">& </s> <s xml:id="echoid-s3742" xml:space="preserve">eſſendo quella più <lb/>lunga di A C, ſecondo quello dice il Sig. </s> <s xml:id="echoid-s3743" xml:space="preserve">Manfredi, di qua <pb o="106" file="0118" n="118"/> tro piedi, tanto più veloce ſarebbe il moto del graue per <lb/>BLMNC, che A, per AC; </s> <s xml:id="echoid-s3744" xml:space="preserve">& </s> <s xml:id="echoid-s3745" xml:space="preserve">perciò con l´ecceſſo di quella <lb/>velocità ſopra queſta corriſpondente à quelli quatro piedi <lb/>percuoterebbe.</s> <s xml:id="echoid-s3746" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3747" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3748" xml:space="preserve">Conchiude poi la ſua riſpoſta il Sig. </s> <s xml:id="echoid-s3749" xml:space="preserve">Manfredi con <lb/>il dire, che per tutti li capi ſopradetti è improbabile il Siſte-<lb/>ma Copernicano.</s> <s xml:id="echoid-s3750" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3751" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3752" xml:space="preserve">Io lo tengo per improbabiliſſimo; </s> <s xml:id="echoid-s3753" xml:space="preserve">non già per le co-<lb/>ſe dette dal P. </s> <s xml:id="echoid-s3754" xml:space="preserve">Riccioli, mà bene per altro. </s> <s xml:id="echoid-s3755" xml:space="preserve">E quantunque <lb/>poteſſi addure varie coſe, vna però ſola n´accennarò. </s> <s xml:id="echoid-s3756" xml:space="preserve">Que-<lb/>ſta è la gran diſtanza delle ſtelle fiſſe da noi, in guiſa che il <lb/>vaſtiſſimo Orbe magno ad eſſa paragonato ſia come vn pun-<lb/>to. </s> <s xml:id="echoid-s3757" xml:space="preserve">Nel Siſtema Tolomaico quando ſentiamo dire, che <lb/>queſta diſtanza delle fiſſe ſia tanto grande, che la grandezaa <lb/>della Terra comparata ad eſſa ſia come vn punto, reſtiamo, <lb/>come ſe ſuol dire, in due piedi, pieni di merauiglia. </s> <s xml:id="echoid-s3758" xml:space="preserve">Hora <lb/>che ſarà quando ſia neceſsario di dire che tutto, tutto l´Orbe <lb/>magno tanto, e tanto grande habbia à queſta diſtanza inſen-<lb/>ſibil proportione? </s> <s xml:id="echoid-s3759" xml:space="preserve">Che vaſtità di mondo ſarà queſta? </s> <s xml:id="echoid-s3760" xml:space="preserve">Nul-<lb/>ladimeno biſogna che li Copernicani concedino, eſuppon-<lb/>ghino tutto ciò. </s> <s xml:id="echoid-s3761" xml:space="preserve">Hora non conſiderando nè à Sacre Scrittu-<lb/>re, nè à determinationi di Santa Madre Chieſa, e venendo, <lb/>come ſi ſuol dire, à negotio vergine, e ſtando _in puris natu-_ <lb/>_ralibus_, queſta vaſtità, e diſtanza ineſcogitabile non pare <lb/>punto veriſimile. </s> <s xml:id="echoid-s3762" xml:space="preserve">Venendo poi le ſacre Scritture, e la deter-<lb/>minatione della Chieſa, inſegnandoci, & </s> <s xml:id="echoid-s3763" xml:space="preserve">aſſerendo queſte <lb/>la quiete della Terra, il ſoſpetto nato in noi della improba-<lb/>bilità del Siſtema per quella gran diſtanza piglia maggiori <lb/>piedi, e nel noſtro intendimento getta più profonde radici. <lb/></s> <s xml:id="echoid-s3764" xml:space="preserve">Talinon ſono li inconuenienti addotti dal P. </s> <s xml:id="echoid-s3765" xml:space="preserve">Riccioli, li <lb/>quali come fondati in coſe falſiſsime, & </s> <s xml:id="echoid-s3766" xml:space="preserve">in errori, e paralo-<lb/>giſmi Geometrici, per niuna autorità reſtano ſtabiliti. </s> <s xml:id="echoid-s3767" xml:space="preserve">Anzi <lb/>debilitarebbono l´autorità all´autorità, quando in vittù di <lb/>queſta ſi doueſsero credere. </s> <s xml:id="echoid-s3768" xml:space="preserve">Già adunque che il Sig. </s> <s xml:id="echoid-s3769" xml:space="preserve">Man-<lb/>fredi non dice altro, non diciamo altro nè anco noi.</s> <s xml:id="echoid-s3770" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3771" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3772" xml:space="preserve">Piano Signori. </s> <s xml:id="echoid-s3773" xml:space="preserve">Ne reſtano ancorà coſe molto <pb o="107" file="0119" n="119"/> conſiderabili. </s> <s xml:id="echoid-s3774" xml:space="preserve">Queſte ſono quelle trè ragioni, le quali han-<lb/>no quaſi moſso il P. </s> <s xml:id="echoid-s3775" xml:space="preserve">Riccioli à non riſpondere, regiſtrate <lb/>dal Sig. </s> <s xml:id="echoid-s3776" xml:space="preserve">Manfredi nella lettera al Lettote. </s> <s xml:id="echoid-s3777" xml:space="preserve">Hora che ſi è <lb/>riſpoſto à tutto, ſe poſſono vedere ancor queſte; </s> <s xml:id="echoid-s3778" xml:space="preserve">e quando <lb/>anco vi foſse occaſione, che alcuno di noi andaſse in colera, <lb/>poco importarebbe, mentre già è fornita la diſputa; </s> <s xml:id="echoid-s3779" xml:space="preserve">e s'<unsure/> è <lb/>detto quello, che ſi doueua dire; </s> <s xml:id="echoid-s3780" xml:space="preserve">nè vi è pericolo, che la co-<lb/>lera ne facia parlare con paſsione.</s> <s xml:id="echoid-s3781" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3782" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3783" xml:space="preserve">Il Sig. </s> <s xml:id="echoid-s3784" xml:space="preserve">Ofeddi hà certo ragione. </s> <s xml:id="echoid-s3785" xml:space="preserve">La prima cauſa <lb/>adunque è, _Per vederci di tanto in tanto inſerite le punture_ <lb/>_ſatiriche, & </s> <s xml:id="echoid-s3786" xml:space="preserve">il ridicolo Comico, e non iſtimare degno della ſaa_ <lb/>_conditione il ri ſiut arie con tale ſtile_.</s> <s xml:id="echoid-s3787" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3788" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3789" xml:space="preserve">Li noſtri diſcorſi ſono ſtati publicati al mondo. </s> <s xml:id="echoid-s3790" xml:space="preserve">Poſ-<lb/>ſono eſser letti, e riletti, e conſiderate queſte punture ſatiri-<lb/>che. </s> <s xml:id="echoid-s3791" xml:space="preserve">Io ſtimo che l´habbiamo trattato in quel modo, che <lb/>meritano le ſue gran virtù, e rare qualità. </s> <s xml:id="echoid-s3792" xml:space="preserve">Hà anco il Sig. <lb/></s> <s xml:id="echoid-s3793" xml:space="preserve">Manfredipublicate ſe ſue riſpoſte approuate, dice egli, dal <lb/>P. </s> <s xml:id="echoid-s3794" xml:space="preserve">Riccioli; </s> <s xml:id="echoid-s3795" xml:space="preserve">giudichi il mondo il noſtro modo di proce-<lb/>dere.</s> <s xml:id="echoid-s3796" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3797" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3798" xml:space="preserve">Io quando vado alla Comedia pago 10. </s> <s xml:id="echoid-s3799" xml:space="preserve">ouero <lb/>12 ſoldi, ereſto obligato alli Comici, che m´hanno dato <lb/>tratenimento. </s> <s xml:id="echoid-s3800" xml:space="preserve">Noi habbiamo ſeruito di Comici al P. </s> <s xml:id="echoid-s3801" xml:space="preserve">Ric-<lb/>cioli (al dire del Manfredi) ſenza ſpeſa d´vn ſoldo, e và in <lb/>colera con nol.</s> <s xml:id="echoid-s3802" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3803" xml:space="preserve">_Cont_. </s> <s xml:id="echoid-s3804" xml:space="preserve">La ſeconda è perche dubitaua, che la riſpoſta non ca-<lb/>pitarebbe alle mani di tutti, ò della maggior parte di coloro, <lb/>nell´ animo de quali haueriano già fatta grande impreſſione le <lb/>conſider ationi del detto Mattematico.</s> <s xml:id="echoid-s3805" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3806" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3807" xml:space="preserve">O che le noſtre conſiderationi ſono buone, & </s> <s xml:id="echoid-s3808" xml:space="preserve">à <lb/>propoſito, ò ſpropoſitate, e catiue. </s> <s xml:id="echoid-s3809" xml:space="preserve">Se ſono ſpropoſitate, <lb/>non è da temere, che faciano impreſſione nell´ animo di al-<lb/>cuno. </s> <s xml:id="echoid-s3810" xml:space="preserve">Se poi ſeno fondate, & </s> <s xml:id="echoid-s3811" xml:space="preserve">efficaci; </s> <s xml:id="echoid-s3812" xml:space="preserve">nè meno le riſpoſte <lb/>del Sig. </s> <s xml:id="echoid-s3813" xml:space="preserve">Manfredi faranno ſufficienti à deſimpreſſionare chi <lb/>vna volta hauerà conoſciuta la verità.</s> <s xml:id="echoid-s3814" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3815" xml:space="preserve">_Cont_. </s> <s xml:id="echoid-s3816" xml:space="preserve">E perciò eſsendo in età di 70. </s> <s xml:id="echoid-s3817" xml:space="preserve">anni aſſ ai cagioneuole, e <lb/>nondimeno occupato in coſe di maggior rilieuo, non voleua get- <pb o="108" file="0120" n="120"/> tar il tempo, e la fatica in coſa di poco frutto.</s> <s xml:id="echoid-s3818" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3819" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3820" xml:space="preserve">Certo, che haurebbe fatto bene à non gettar il <lb/>tempo in coſa di così poco frutto, e così piena di paralogif-<lb/>mi, quali ſono queſte ſue riſpoſte.</s> <s xml:id="echoid-s3821" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3822" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3823" xml:space="preserve">Lei Sig. </s> <s xml:id="echoid-s3824" xml:space="preserve">Oſreddi interpreta queſte parole in ſenſo <lb/>molto diuerſo da quanto intende il Manfredi. </s> <s xml:id="echoid-s3825" xml:space="preserve">Egli intende <lb/>delle noſtre conſiderationi, che ſono coſa di poco frutto; </s> <s xml:id="echoid-s3826" xml:space="preserve">che <lb/>non ſono degne della conſideratione del P. </s> <s xml:id="echoid-s3827" xml:space="preserve">Riccioli, ſi che <lb/>nella loro confutatione debba logorare il tempo. </s> <s xml:id="echoid-s3828" xml:space="preserve">Della <lb/>materia della quale ſi tratta, cioè di argomenti ſpettanti al <lb/>moto della Terra, non intende certo, mentre il P. </s> <s xml:id="echoid-s3829" xml:space="preserve">Riccioli <lb/>riconoſce queſta materia per principaliſſima trà tutte l´-<lb/>A ſtronomiche. </s> <s xml:id="echoid-s3830" xml:space="preserve">Che perciò nel lib. </s> <s xml:id="echoid-s3831" xml:space="preserve">9. </s> <s xml:id="echoid-s3832" xml:space="preserve">dell´ Almag. </s> <s xml:id="echoid-s3833" xml:space="preserve">ſect. </s> <s xml:id="echoid-s3834" xml:space="preserve">4. <lb/></s> <s xml:id="echoid-s3835" xml:space="preserve">cap. </s> <s xml:id="echoid-s3836" xml:space="preserve">I. </s> <s xml:id="echoid-s3837" xml:space="preserve">dice. </s> <s xml:id="echoid-s3838" xml:space="preserve">_Iam tandem controuerſiam aggredimur, intea_ <lb/>_Aſtronomicas, hoc præſertim ſœculo, longe celeberrimam, &</s> <s xml:id="echoid-s3839" xml:space="preserve">c_. </s> <s xml:id="echoid-s3840" xml:space="preserve"><lb/>Onde quelli ſuoi argomenti inuentati contro il Siſtema Co-<lb/>pernicano, che habbiamo veduto, ſono tanto da eſſo ſtimati, <lb/>e magnificati, che ripieno di gaudio, ne rende gratie à Dio, <lb/>come habbiamo veduto; </s> <s xml:id="echoid-s3841" xml:space="preserve">e quaſi altro Pitagora, inſtituiſce <lb/>l´Ecatombe, non di ſacrificio d´animali, ma di rendimenti <lb/>digratie.</s> <s xml:id="echoid-s3842" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3843" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3844" xml:space="preserve">In fatti li grand´ huomini, quando hanno incon-<lb/>trato di inuentare qualche gran coſa, non hanno potuto <lb/>contener l´allegrezza. </s> <s xml:id="echoid-s3845" xml:space="preserve">Così Archimede conoſciuta la frau-<lb/>de dell´Orefice nella Corona di Herone, vſcì dal bagno cri-<lb/>dando _Reperi, Reperi_.</s> <s xml:id="echoid-s3846" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3847" xml:space="preserve">_Cont_. </s> <s xml:id="echoid-s3848" xml:space="preserve">Laterza, e prencipale è il conſiderare, che alcuni ſo-<lb/>no (benche procurino di diſſimularlo) tanto aderenti al Siſtema <lb/>Copernicano.</s> <s xml:id="echoid-s3849" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3850" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3851" xml:space="preserve">Queſta è mò Sig. </s> <s xml:id="echoid-s3852" xml:space="preserve">Contc quella terza cauſa, che lei <lb/>diceua nel principio eſſer così brutta?</s> <s xml:id="echoid-s3853" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3854" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3855" xml:space="preserve">Realmente è brutta, mà però non mi commoue <lb/>punto. </s> <s xml:id="echoid-s3856" xml:space="preserve">Parmi che il Sig. </s> <s xml:id="echoid-s3857" xml:space="preserve">Manfredi s´arroghi molto, & </s> <s xml:id="echoid-s3858" xml:space="preserve">hab-<lb/>bia tal concetto di ſe; </s> <s xml:id="echoid-s3859" xml:space="preserve">ſteſſo, che ſi ſtimi di ſaper penetrar li <lb/>noſtri cuori, e vedere nel noſtro occulto. </s> <s xml:id="echoid-s3860" xml:space="preserve">Se queſti dicono <lb/>dinon credere al Siſtema Copernicano, e dicono tenerlo <pb o="109" file="0121" n="121"/> per falſo, parmi che il Sig Manfredi doueria creder alle lo-<lb/>ro parole, enon arrogarſi di penetrare nel loro intimo <lb/>Queſta certo non mi pare charità; </s> <s xml:id="echoid-s3861" xml:space="preserve">ſi potrebbe ſopra ciò fare <lb/>vn gran lamento. </s> <s xml:id="echoid-s3862" xml:space="preserve">Mà rimettiamo tutto al prudente Letto-<lb/>re; </s> <s xml:id="echoid-s3863" xml:space="preserve">& </s> <s xml:id="echoid-s3864" xml:space="preserve">adopriamo il prouerbio, che ogni parola non vuol <lb/>riſpoſta. </s> <s xml:id="echoid-s3865" xml:space="preserve">Mà in che coſa moſtrano dieſſer tanto aderential <lb/>Siſtema Copernicano?</s> <s xml:id="echoid-s3866" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3867" xml:space="preserve">_Cont. </s> <s xml:id="echoid-s3868" xml:space="preserve">Ecconela cauſa._ </s> <s xml:id="echoid-s3869" xml:space="preserve">Che per isfuggire laforza del prin <lb/>ripal argomento fatto dal detto P. </s> <s xml:id="echoid-s3870" xml:space="preserve">Riccioli contro al moto diurno <lb/>della Terra, ſi ſono imbeuuti di vna imaginatione, tanto euiden-<lb/>temente falſa appreßo tanti di finiſſimo giudicio; </s> <s xml:id="echoid-s3871" xml:space="preserve">cioè, che vn <lb/>corpograue, il quale nel Sistema Copernicano, doueria per neceſ-<lb/>ſit à di ſuppoſitiene, evere proprietà dital Siſtema, diſcender ne <lb/>i primi quatro ſecondi di bor a per vna ſola linea curua pochiſſi-<lb/>mo differente dalla circolare, con moto Fiſicamente eguale, & </s> <s xml:id="echoid-s3872" xml:space="preserve"><lb/>vniſorme, come inſegnò ne´ ſuoi.</s> <s xml:id="echoid-s3873" xml:space="preserve">..</s> <s xml:id="echoid-s3874" xml:space="preserve">..</s> <s xml:id="echoid-s3875" xml:space="preserve">..</s> <s xml:id="echoid-s3876" xml:space="preserve">. Dialogi il Galileo; <lb/></s> <s xml:id="echoid-s3877" xml:space="preserve">nondimeno diſcenderebbe con moto continuo, & </s> <s xml:id="echoid-s3878" xml:space="preserve">ab intrinſec@ <lb/>anco per vna medeſima linearetta, e perpendicolare all´Orizon-<lb/>te, ò almeno participarebbe delle medeſime proprietà, e della di-<lb/>formità, come ſe realmente diſcendeſce ſempre per vnaretta li-<lb/>nea perpendicolare.</s> <s xml:id="echoid-s3879" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3880" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3881" xml:space="preserve">Si caua adunque da queſte parole, che quelli ſi mo-<lb/>ftrino molto aderenti al Siſtema Copernicano (benche pro-<lb/>curino di diſſimularlo) che non vogliono acquietarſi alle <lb/>ragioni del P. </s> <s xml:id="echoid-s3882" xml:space="preserve">Riccioli. </s> <s xml:id="echoid-s3883" xml:space="preserve">Queſto luogo Sig. </s> <s xml:id="echoid-s3884" xml:space="preserve">Conte mi par <lb/>molto à propoſito per repigliare il numero 24. </s> <s xml:id="echoid-s3885" xml:space="preserve">del Sig. </s> <s xml:id="echoid-s3886" xml:space="preserve">Man-<lb/>fredi, nel quale conſidera quelle noſtre parole [Parini, &</s> <s xml:id="echoid-s3887" xml:space="preserve">c.</s> <s xml:id="echoid-s3888" xml:space="preserve">] <lb/>e crida dietro à quella noftra conſequenza con l´Oibò. </s> <s xml:id="echoid-s3889" xml:space="preserve">Io <lb/>diſcorro così. </s> <s xml:id="echoid-s3890" xml:space="preserve">Voi P. </s> <s xml:id="echoid-s3891" xml:space="preserve">Riccioli chiamate quel voſtro amico, <lb/>che diceua il graue nell´Ipoteſi Copernicana diſcender per <lb/>la perpendicolare, _Hypotbeſi Copernicanæ nimis addictum._ <lb/></s> <s xml:id="echoid-s3892" xml:space="preserve">Vno non ſi può chiamar veramente tale, ſe non è tanto oſti-<lb/>nato, chenon ſe laſci conuincere dall´euidenza delli argo-<lb/>menti portati à fauore della quiete della Terra. </s> <s xml:id="echoid-s3893" xml:space="preserve">Tuttili ar-<lb/>gomenti à fauore della quiete ſi diuidono in due claſſi, in <lb/>quelli inuentati dalli altri, e nelli voſtri, Vno che non ſi la- <pb o="110" file="0122" n="122"/> ſciaſse conuincere da quelli delli altri, non ſi portrebbe dire <lb/>_Hypotheſi Copernicanæ nimis additus,_ eſſendo tutti queſti di <lb/>niun valore, come voi ditte in quel laogo dell´ Almag. </s> <s xml:id="echoid-s3894" xml:space="preserve">da-<lb/>noi portato ſopra à cart. </s> <s xml:id="echoid-s3895" xml:space="preserve">5. </s> <s xml:id="echoid-s3896" xml:space="preserve">Adunque ſono _Hypotheſi Coper-_ <lb/>_nicanæ nimis addicti,_ ſolo quelli che non acconſentono alli <lb/>voſtri argomenti.</s> <s xml:id="echoid-s3897" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3898" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3899" xml:space="preserve">Pare che lo dichi nelle ſoprapoſte parole tanto <lb/>chiaramente, chenulla più</s> </p> <p> <s xml:id="echoid-s3900" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3901" xml:space="preserve">Mà quelli, che ſono _Hypotheſi Copernicanæ nimis ad-_ <lb/>_dicti_ ſono ſacrilegi, come quelli, che recalcitrano alle de-<lb/>terminationi della Chieſa. </s> <s xml:id="echoid-s3902" xml:space="preserve">Ecco a dunque che ſtimate tan-<lb/>to le voſtre ragioni, che ſtimate quaſi vn ſacrilegio il con-<lb/>tradirci. </s> <s xml:id="echoid-s3903" xml:space="preserve">Ecco adunque, che à cauare queſta conſeguenza <lb/>dalle premeſse non vi vogliono gl´Argani di Demetrio Po-<lb/>liorceta, nè le Machine di Archimede, mà corre eſsa die-<lb/>tro alle premeſse ſpontaneamente. </s> <s xml:id="echoid-s3904" xml:space="preserve">Douereſte arr oſſirui <lb/>adunque Sig. </s> <s xml:id="echoid-s3905" xml:space="preserve">Manſredi di procedere in queſto modo, e di <lb/>notare di Copernicani quelli, che non vogliono aderire alli <lb/>voſtri paralogiſmi; </s> <s xml:id="echoid-s3906" xml:space="preserve">e che, almeno quanto voi, ſtim ano fal-<lb/>ſo, & </s> <s xml:id="echoid-s3907" xml:space="preserve">erroneo queſto Siſtema. </s> <s xml:id="echoid-s3908" xml:space="preserve">L´inſufficienza delle voſtre <lb/>ragioni, e li paralogiſmi, che contengono ſono ſtati à ſuffi-<lb/>cienza ſcoperti; </s> <s xml:id="echoid-s3909" xml:space="preserve">& </s> <s xml:id="echoid-s3910" xml:space="preserve">ogni principiante Geometra li può co-<lb/>noſcere. </s> <s xml:id="echoid-s3911" xml:space="preserve">Non è il douere, il volere impaurire gl´huome-<lb/>ni, coſtringerli à tacere, e neceſſitarli ad offender l´hum a ni-<lb/>tà con il moſtrar d´acconſentire ad errori così manifeſti, con <lb/>il mò mò di ſpacciarli per Copernicani, & </s> <s xml:id="echoid-s3912" xml:space="preserve">_Hypotheſi Coper-_ <lb/>_nicanæ nimis addictos._</s> <s xml:id="echoid-s3913" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3914" xml:space="preserve">Ofre. </s> <s xml:id="echoid-s3915" xml:space="preserve">Hò offeruato in molti luoghi, che il Sig. </s> <s xml:id="echoid-s3916" xml:space="preserve">Manfredi <lb/>nota di Copernicani quelli, che non aderi ſcono alle ſue ra-<lb/>gioni. </s> <s xml:id="echoid-s3917" xml:space="preserve">Queſto mi pare bene altro negotio, che quello dell´-<lb/>arroſto del Keplero. </s> <s xml:id="echoid-s3918" xml:space="preserve">Se fà iui tanto ſchiamazzo, perche le <lb/>ſue parole ſono ſtate preſe come ſono ſtate prononciate, e <lb/>non metaforicamente; </s> <s xml:id="echoid-s3919" xml:space="preserve">e ſe dice non eſser queſto trartar da <lb/>Religioſo, &</s> <s xml:id="echoid-s3920" xml:space="preserve">c. </s> <s xml:id="echoid-s3921" xml:space="preserve">Parmi bene eſſer altro il ſpacciar vno per <lb/>Copernicano, e dire che vno tratti vn´altro come mangia-<lb/>tore.</s> <s xml:id="echoid-s3922" xml:space="preserve"/> </p> <pb o="111" file="0123" n="123"/> <p> <s xml:id="echoid-s3923" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3924" xml:space="preserve">Hanno loro Signori oſſeruate quelle parole del <lb/>Sig. </s> <s xml:id="echoid-s3925" xml:space="preserve">Manfredi; </s> <s xml:id="echoid-s3926" xml:space="preserve">cioè che il deſcender il graue per la perpen-<lb/>dicolare ſia propoſitione _tanto euidentemente falſa, appreſ-_ <lb/>_ſotanti di finiſſimo giuditio?_ </s> <s xml:id="echoid-s3927" xml:space="preserve">Io non hò mai ſentito che ne no-<lb/>mini alcuno. </s> <s xml:id="echoid-s3928" xml:space="preserve">Io potrei bene nominare molti, e molti, delli <lb/>quali tengo le lettere appreſſo di me, che la giudicano vera; <lb/></s> <s xml:id="echoid-s3929" xml:space="preserve">e ſtimano le ragioni del P. </s> <s xml:id="echoid-s3930" xml:space="preserve">Riccioli per quelle, che ſono, cioè <lb/>deboli, falſe, e paralogizanti.</s> <s xml:id="echoid-s3931" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3932" xml:space="preserve">Ofred. </s> <s xml:id="echoid-s3933" xml:space="preserve">Ma che occorre? </s> <s xml:id="echoid-s3934" xml:space="preserve">Il Torrino è lodato dal P. </s> <s xml:id="echoid-s3935" xml:space="preserve">Riccio-<lb/>li in ſuperlatiuo grado, e pure contradice alle ſue ragioni. <lb/></s> <s xml:id="echoid-s3936" xml:space="preserve">Quelli ſuoi due amici, li quali non hà voluto nominare, ſono <lb/>pure, per quanto lui dice, grand´huomeni; </s> <s xml:id="echoid-s3937" xml:space="preserve">e ſono di parere <lb/>contrarij. </s> <s xml:id="echoid-s3938" xml:space="preserve">Il Signor Gio. </s> <s xml:id="echoid-s3939" xml:space="preserve">Alfonſo Borelli è quel gran. </s> <s xml:id="echoid-s3940" xml:space="preserve"><lb/>ſoggetto, che da tutti è conoſciuto; </s> <s xml:id="echoid-s3941" xml:space="preserve">e pure ſcriue contro a <lb/>quelle ragioni. </s> <s xml:id="echoid-s3942" xml:space="preserve">Il Signor Montanariè quell´eleuato inge-<lb/>gno, il lume del quale mira il P. </s> <s xml:id="echoid-s3943" xml:space="preserve">Riccioli così da vicino; </s> <s xml:id="echoid-s3944" xml:space="preserve">e <lb/>pure non s´acquieta à queſta dottrina. </s> <s xml:id="echoid-s3945" xml:space="preserve">Nè ancor noi ſiamo <lb/>tanto priui di diſcorſo; </s> <s xml:id="echoid-s3946" xml:space="preserve">nè però fanno in noi alcuna impreſ-<lb/>ſione.</s> <s xml:id="echoid-s3947" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3948" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3949" xml:space="preserve">Horsù Sig. </s> <s xml:id="echoid-s3950" xml:space="preserve">Conte hà altro da dire ſopra ſimil ma-<lb/>teria?</s> <s xml:id="echoid-s3951" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3952" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3953" xml:space="preserve">Non Signore.</s> <s xml:id="echoid-s3954" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3955" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3956" xml:space="preserve">Forniamo adunqne queſta lunga ſeſſione, con pro-<lb/>teſta anco di non repigliar più ſimil ſoggetto per le mani.</s> <s xml:id="echoid-s3957" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3958" xml:space="preserve">Cont. </s> <s xml:id="echoid-s3959" xml:space="preserve">Non credo, che vi ſarà più ſimil occaſione; </s> <s xml:id="echoid-s3960" xml:space="preserve">perche <lb/>io frà poco penſo partir per Parigi, e poi condurmi in Polo-<lb/>nia. </s> <s xml:id="echoid-s3961" xml:space="preserve">E Dio sà quando più ſi riuedremo.</s> <s xml:id="echoid-s3962" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3963" xml:space="preserve">Matt. </s> <s xml:id="echoid-s3964" xml:space="preserve">Io da queſte noſtre parti l´accompagnerò con il <lb/>cuore.</s> <s xml:id="echoid-s3965" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div23" type="section" level="1" n="11"> <head xml:id="echoid-head16" xml:space="preserve">IL FINE.</head> <pb file="0124" n="124"/> <pb file="0125" n="125"/> <pb file="0126" n="126"/> <pb file="0127" n="127"/> <handwritten/> <pb file="0128" n="128"/> </div></text> </echo>