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version 1.3, 2006/03/31 17:06:47 |
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| <s><emph type="center"/>EPISTOLÆ TRES.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>EPISTOLÆ TRES.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Quibus ad totidem Epi&longs;tolas R. P.<emph.end type="italics"/> PETRI CAZRÆ<gap/><lb/><emph type="italics"/>Societatis<emph.end type="italics"/> IESV <emph type="italics"/>Re&longs;pondetur.<emph.end type="italics"/><emph.end type="center"/></s></p><figure id="id.028.01.001.1.jpg" xlink:href="028/01/001/1.jpg"/><p type="main"> | <s><emph type="center"/><emph type="italics"/>Quibus ad totidem Epi&longs;tolas R. P.<emph.end type="italics"/> PETRI CAZRÆE<lb/><emph type="italics"/>Societatis<emph.end type="italics"/> IESV <emph type="italics"/>Re&longs;pondetur.<emph.end type="italics"/><emph.end type="center"/></s></p><figure id="id.028.01.001.1.jpg" xlink:href="028/01/001/1.jpg"/><p type="main"> |
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| <s><emph type="center"/>PARISIIS,<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>PARISIIS,<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/>Apud LVDOVICVM DE HEVQVEVILLE, via Iacobæa, <lb/>&longs;ub &longs;igno Pacis.<emph.end type="center"/><lb/><gap desc="hr tag"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>Apud LVDOVICVM DE HEVQVEVILLE, via Iacobæa, <lb/>&longs;ub &longs;igno Pacis.<emph.end type="center"/><lb/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/>M. DC. XLVI.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>M. DC. XLVI.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>CVM PRIVILEGIO REGIS<emph.end type="italics"/><emph.end type="center"/></s></p><pb xlink:href="028/01/002.jpg"/><pb xlink:href="028/01/003.jpg"/><figure id="id.028.01.003.1.jpg" xlink:href="028/01/003/1.jpg"/><p type="main"> | <s><emph type="center"/><emph type="italics"/>CVM PRIVILEGIO REGIS<emph.end type="italics"/><emph.end type="center"/></s></p><pb xlink:href="028/01/002.jpg"/><pb xlink:href="028/01/003.jpg"/><figure id="id.028.01.003.1.jpg" xlink:href="028/01/003/1.jpg"/><p type="main"> |
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| <s><emph type="center"/>EPISTOLARVM<emph.end type="center"/><!-- REMOVE S--><emph type="center"/>SVMMVLÆ.<emph.end type="center"/><lb/><gap desc="hr tag"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>EPISTOLARVM<emph.end type="center"/><!-- REMOVE S--><emph type="center"/>SVMMVLÆ.<emph.end type="center"/><lb/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/>EPISTOLÆ PRIMÆ.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/>EPISTOLÆ PRIMÆ.<emph.end type="center"/></s></p><p type="main"> |
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| <s>adeò vt <lb/>&longs;emper velocitates &longs;e habeant &longs;ieut &longs;patia, quòd R. P. conten­<lb/>dit: An potiùs cen&longs;eride beat <expan abbr="tũ">tum</expan> acqui&longs;u&longs;&longs;e duos celeritatis gra­<lb/>dus, cùm effluxit &longs;ecundum tempus, licet plura spatia, quàm <lb/>duo &longs;uperata &longs;int: ac pari modo treis, cùm tertium, quatuor, <lb/><gap/>ùm quartum, &c. </s> | <s>adeò vt <lb/>&longs;emper velocitates &longs;e habeant &longs;ieut &longs;patia, quòd R. P. conten­<lb/>dit: An potiùs cen&longs;eride beat <expan abbr="tũ">tum</expan> acqui&longs;u&longs;&longs;e duos celeritatis gra­<lb/>dus, cùm effluxit &longs;ecundum tempus, licet plura spatia, quàm <lb/>duo &longs;uperata &longs;int: ac pari modo treis, cùm tertium, quatuor, <lb/>cùm quartum, &c. </s> |
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| <s>adeò vt &longs;emper velocitates &longs;e habeant &longs;icut <lb/>tempora; quæ e&longs;t Galilei &longs;ententia. </s> | <s>adeò vt &longs;emper velocitates &longs;e habeant &longs;icut <lb/>tempora; quæ e&longs;t Galilei &longs;ententia. </s> |
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| <s>De Motus æquabiliter <lb/>accelerati definitione. </s></p><p type="main"> | <s>De Motus æquabiliter <lb/>accelerati definitione. </s></p><p type="main"> |
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| <s><emph type="italics"/>Definit<emph.end type="italics"/> G<emph type="italics"/>alileus Motum æquabiliter acceleratum (qua­<lb/>lis grauibus decidentibus competit) illum,<emph.end type="italics"/> qui à quiete rece­<lb/>dens, temporibus æqualibus æqualia celeritatis mo­<lb/>menta acquirit. <emph type="italics"/>Jd autem improbans R. P. contendit po­<lb/>tiùs definiendum cum vulgari &longs;ententia illum,<emph.end type="italics"/> qui æquali­<lb/>bus &longs;patiis æqualia celeritatis augmenta acqu<gap/>it. <emph type="italics"/>Quan­<lb/>quam ex Galilei definitione præclarè intelligitur accelerationis <lb/>æquabilitas: prout incre&longs;<gap/>s celeritas &longs;e habet vt linea inter <lb/>latera memorati Trianguli ab apice v&longs;que in ba&longs;im incre&longs;cen<gap/><lb/>& hæc linea ideò incre&longs;cit æquabiliter, quòd &longs;ecundum parteis­<lb/>laterum æqualeis (per quas dictum e&longs;t repræ&longs;entari tempora) <lb/>additamenta continuò æqualia acquirat.<emph.end type="italics"/> E<emph type="italics"/>x definitione au­<lb/>tem R. <!-- KEEP S--></s> | <s><emph type="italics"/>Definit<emph.end type="italics"/> G<emph type="italics"/>alileus Motum æquabiliter acceleratum (qua­<lb/>lis grauibus decidentibus competit) illum,<emph.end type="italics"/> qui à quiete rece­<lb/>dens, temporibus æqualibus æqualia celeritatis mo­<lb/>menta acquirit. <emph type="italics"/>Jd autem improbans R. P. contendit po­<lb/>tiùs definiendum cum vulgari &longs;ententia illum,<emph.end type="italics"/> qui æquali­<lb/>bus &longs;patiis æqualia celeritatis augmenta acquirit. <emph type="italics"/>Quan­<lb/>quam ex Galilei definitione præclarè intelligitur accelerationis <lb/>æquabilitas: prout incre&longs;cens celeritas &longs;e habet vt linea inter <lb/>latera memorati Trianguli ab apice v&longs;que in ba&longs;im incre&longs;cens <lb/>& hæc linea ideò incre&longs;cit æquabiliter, quòd &longs;ecundum parteis­<lb/>laterum æqualeis (per quas dictum e&longs;t repræ&longs;entari tempora) <lb/>additamenta continuò æqualia acquirat.<emph.end type="italics"/> E<emph type="italics"/>x definitione au­<lb/>tem R. <!-- KEEP S--></s> |
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| <s>Patri probata, nihil tale potest intelligi: cùm nulla <lb/>facta temporis mentione, & &longs;umptis partibus lateris trianguli <lb/>pro spatiis, & interceptis triangulis pro celeritatis gradibus, <lb/>con&longs;tet, &longs;i totidem &longs;emper addantur triangula, quot lateris par­<lb/>tes, creatum iri triangulum totalem, cuius area inæquabili&longs;­<lb/>&longs;imè ab apice in ba&longs;im incre&longs;cat.<emph.end type="italics"/> A p. </s> | <s>Patri probata, nihil tale potest intelligi: cùm nulla <lb/>facta temporis mentione, & &longs;umptis partibus lateris trianguli <lb/>pro spatiis, & interceptis triangulis pro celeritatis gradibus, <lb/>con&longs;tet, &longs;i totidem &longs;emper addantur triangula, quot lateris par­<lb/>tes, creatum iri triangulum totalem, cuius area inæquabili&longs;­<lb/>&longs;imè ab apice in ba&longs;im incre&longs;cat.<emph.end type="italics"/> A p. </s> |
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| <s>De <lb/>Experimento circa ictum, impetumve grauium <lb/>cadentium, ad explorandum impetu&longs;-ne, vt <lb/>&longs;patium incre&longs;cat. </s></p><p type="main"> | <s>De <lb/>Experimento circa ictum, impetumve grauium <lb/>cadentium, ad explorandum impetu&longs;-ne, vt <lb/>&longs;patium incre&longs;cat. </s></p><p type="main"> |
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| <s><emph type="italics"/>Tamet&longs;i con&longs;tet grauia, quò ex altiore decidunt loco, e<gap/><lb/>maiore impetu e&longs;&longs;e, vehementiu&longs;que percutere, ac tantam e&longs;&longs;e <lb/>velocitatem, quantus impetus, & percußio est: non ideò tamen <lb/>con&longs;tat vllis (qualia R. P. dicit in quolibetgraui clara, facilia, <lb/>indubitata) experimentis, graue decidens ex altitudine dupl<gap/><lb/>duplò fortiùs percutere, triplò ex tripla, quadruplò ex quadru­<lb/>pla, &c. </s> | <s><emph type="italics"/>Tamet&longs;i con&longs;tet grauia, quò ex altiore decidunt loco, eò <lb/>maiore impetu e&longs;&longs;e, vehementiu&longs;que percutere, ac tantam e&longs;&longs;e <lb/>velocitatem, quantus impetus, & percußio est: non ideò tamen <lb/>con&longs;tat vllis (qualia R. P. dicit in quolibetgraui clara, facilia, <lb/>indubitata) experimentis, graue decidens ex altitudine duplæ<lb/>duplò fortiùs percutere, triplò ex tripla, quadruplò ex quadru­<lb/>pla, &c. </s> |
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| <s>Quin-etiam &longs;unt Experimenta, quæimpetum, per­<lb/>cußionemque non e&longs;&longs;e duplò maiorem in&longs;inuant, ni&longs;i ex altitu­<lb/>dinequadrupla; triplò, ni&longs;i ex nonupla; quadruplò, ni&longs;i ex &longs;e­<lb/>decupla. </s> | <s>Quin-etiam &longs;unt Experimenta, quæimpetum, per­<lb/>cußionemque non e&longs;&longs;e duplò maiorem in&longs;inuant, ni&longs;i ex altitu­<lb/>dinequadrupla; triplò, ni&longs;i ex nonupla; quadruplò, ni&longs;i ex &longs;e­<lb/>decupla. </s> |
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| <s>C<emph type="italics"/>ùm<emph.end type="italics"/> G<emph type="italics"/>alileus &longs;upponendo e&longs;&longs;e à Luna in centrum Ter­<lb/>ræ milliaria Jtalica<emph.end type="italics"/> 196000, <emph type="italics"/>deducat ex ob&longs;eruatione, ac <lb/>proportione à &longs;e instituta decur&longs;um iri id spatium à globo fer­<lb/>reo è Luna dimi&longs;&longs;o intra horas<emph.end type="italics"/> 3. <emph type="italics"/>minuta<emph.end type="italics"/> 22. <emph type="italics"/>& &longs;ecunda<emph.end type="italics"/> 4. <lb/><emph type="italics"/>deducit R. P. iuxta &longs;uam illam progreßionem in ratione con­<lb/>tinuò dupla, decur&longs;um iri id spatium intra minuta non omninò <lb/>duo.<emph.end type="italics"/> I<emph type="italics"/>mmanis &longs;anè pernicitas, & quam refellit etiam ex­<lb/>perientia, qua cùm constet globum non conficere amplius vno <lb/>&longs;emi-minuto, quàm milliare vnum altitudinis; & &longs;eruata <lb/>etiam acceleratione in ratione dupla, non poßit &longs;ecundo &longs;emi­<lb/>minuto, ni&longs;i duo conficere: tertio, ni&longs;i quatuor: quarto, ni&longs;iocto: <lb/>manife&longs;tum fit ex ijs aggregatis non po&longs;&longs;e intra duo minuta <lb/>confici milliaria plu&longs;quam quindecim. </s> | <s>C<emph type="italics"/>ùm<emph.end type="italics"/> G<emph type="italics"/>alileus &longs;upponendo e&longs;&longs;e à Luna in centrum Ter­<lb/>ræ milliaria Jtalica<emph.end type="italics"/> 196000, <emph type="italics"/>deducat ex ob&longs;eruatione, ac <lb/>proportione à &longs;e instituta decur&longs;um iri id spatium à globo fer­<lb/>reo è Luna dimi&longs;&longs;o intra horas<emph.end type="italics"/> 3. <emph type="italics"/>minuta<emph.end type="italics"/> 22. <emph type="italics"/>& &longs;ecunda<emph.end type="italics"/> 4. <lb/><emph type="italics"/>deducit R. P. iuxta &longs;uam illam progreßionem in ratione con­<lb/>tinuò dupla, decur&longs;um iri id spatium intra minuta non omninò <lb/>duo.<emph.end type="italics"/> I<emph type="italics"/>mmanis &longs;anè pernicitas, & quam refellit etiam ex­<lb/>perientia, qua cùm constet globum non conficere amplius vno <lb/>&longs;emi-minuto, quàm milliare vnum altitudinis; & &longs;eruata <lb/>etiam acceleratione in ratione dupla, non poßit &longs;ecundo &longs;emi­<lb/>minuto, ni&longs;i duo conficere: tertio, ni&longs;i quatuor: quarto, ni&longs;iocto: <lb/>manife&longs;tum fit ex ijs aggregatis non po&longs;&longs;e intra duo minuta <lb/>confici milliaria plu&longs;quam quindecim. </s> |
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| <s>Quàm ingenti verò <lb/>di&longs;crimine hic numerus abe&longs;t à milliaribus<emph.end type="italics"/> 196000. <emph type="italics"/>&longs;eu ab <lb/>ijs potiùs, quæ ille vult intra duo minuta integra percurri,<emph.end type="italics"/><lb/>1677721<gap/>: <emph type="italics"/>& mira quidem incohærentia, quatenus de­<lb/>bent primo &longs;emi-minuto percurri<emph.end type="italics"/> 6, <emph type="italics"/>cum proximè triente: <lb/>&longs;ecundo<emph.end type="italics"/> 403, <emph type="italics"/>cum vna quinta: tertio<emph.end type="italics"/> 25804, <emph type="italics"/>cum quatuor <lb/>quintis: & quarto<emph.end type="italics"/> 1651507, <emph type="italics"/>cum vna quinta?<emph.end type="italics"/> A p. </s> | <s>Quàm ingenti verò <lb/>di&longs;crimine hic numerus abe&longs;t à milliaribus<emph.end type="italics"/> 196000. <emph type="italics"/>&longs;eu ab <lb/>ijs potiùs, quæ ille vult intra duo minuta integra percurri,<emph.end type="italics"/><lb/>1677721 1/2: <emph type="italics"/>& mira quidem incohærentia, quatenus de­<lb/>bent primo &longs;emi-minuto percurri<emph.end type="italics"/> 6, <emph type="italics"/>cum proximè triente: <lb/>&longs;ecundo<emph.end type="italics"/> 403, <emph type="italics"/>cum vna quinta: tertio<emph.end type="italics"/> 25804, <emph type="italics"/>cum quatuor <lb/>quintis: & quarto<emph.end type="italics"/> 1651507, <emph type="italics"/>cum vna quinta?<emph.end type="italics"/> A p. </s> |
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| <s>79. in 82. </s></p><p type="main"> | <s>79. in 82. </s></p><p type="main"> |
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| <s>Quippe neque o&longs;ten&longs;um e&longs;t erra&longs;&longs;e ip&longs;um <lb/>in alijs, neque heic habet aliquid non experientiæ con&longs;onum, <lb/>maximéque illud effatum,<emph.end type="italics"/> &longs;i à lationis principio duo quæ­<lb/>libet &longs;patia &longs;umantur, tempora ip&longs;orum fore inter &longs;e, <lb/>vt alterum eorum ad &longs;patium medium proportionale <lb/>inter ip&longs;a: <emph type="italics"/>iuxta quod quidem promptum e&longs;t, quanto specia­<lb/>tim tempore & &longs;ecunda pars, & duo primæ dimidia percur­<lb/>rantur, determinare. </s> | <s>Quippe neque o&longs;ten&longs;um e&longs;t erra&longs;&longs;e ip&longs;um <lb/>in alijs, neque heic habet aliquid non experientiæ con&longs;onum, <lb/>maximéque illud effatum,<emph.end type="italics"/> &longs;i à lationis principio duo quæ­<lb/>libet &longs;patia &longs;umantur, tempora ip&longs;orum fore inter &longs;e, <lb/>vt alterum eorum ad &longs;patium medium proportionale <lb/>inter ip&longs;a: <emph type="italics"/>iuxta quod quidem promptum e&longs;t, quanto specia­<lb/>tim tempore & &longs;ecunda pars, & duo primæ dimidia percur­<lb/>rantur, determinare. </s> |
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| <s>Excu&longs;atione, dilationeque v<gap/>ur R. P. <lb/>circa cau&longs;&longs;am Phy&longs;icam, de qua vide batur ip&longs;e titutus feci&longs;&longs;e <lb/>aliquid sperandum. </s> | <s>Excu&longs;atione, dilationeque vtitur R. P. <lb/>circa cau&longs;&longs;am Phy&longs;icam, de qua vide batur ip&longs;e titutus feci&longs;&longs;e <lb/>aliquid sperandum. </s> |
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| <s>Circa hanc cau&longs;&longs;am lap&longs;us admi&longs;&longs;us in <lb/>Epistolis<emph.end type="italics"/> de. </s> | <s>Circa hanc cau&longs;&longs;am lap&longs;us admi&longs;&longs;us in <lb/>Epistolis<emph.end type="italics"/> de. </s> |
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| <s><emph type="italics"/>Con&longs;tat &longs;emper, quam Galileus Definitionem tradidit. <lb/></s> | <s><emph type="italics"/>Con&longs;tat &longs;emper, quam Galileus Definitionem tradidit. <lb/></s> |
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| <s>Neque enim po&longs;&longs;unt velocitatis gradus per triangulorum re­<lb/>præ&longs;entari ba&longs;eis, &longs;i per parteis laterum repræ&longs;ententur &longs;patia, <lb/>vt R. P. vult; tum quòd nulla habita temporis mentione <gap/>­<lb/>t<gap/>g<gap/> poß<gap/> difformitas mira; tum quòd gradus &longs;emel acqui­<lb/>&longs;itus aut perire debeat, aut nihil agere, neque poßit duplum <lb/>illius, qui acquiritur; tum quòd &longs;it futurum vt &longs;ecundo tempo­<lb/>re octo penè spatia primo æqualia percurrantur. </s> | <s>Neque enim po&longs;&longs;unt velocitatis gradus per triangulorum re­<lb/>præ&longs;entari ba&longs;eis, &longs;i per parteis laterum repræ&longs;ententur &longs;patia, <lb/>vt R. P. vult; tum quòd nulla habita temporis mentione in­<lb/>telligi poßit difformitas mira; tum quòd gradus &longs;emel acqui­<lb/>&longs;itus aut perire debeat, aut nihil agere, neque poßit duplum <lb/>illius, qui acquiritur; tum quòd &longs;it futurum vt &longs;ecundo tempo­<lb/>re octo penè spatia primo æqualia percurrantur. </s> |
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| <s>Confundit <lb/>R. P. <!-- KEEP S--></s> | <s>Confundit <lb/>R. P. <!-- KEEP S--></s> |
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| <s>Ip&longs;e <lb/>fuit<emph.end type="italics"/> R.P. <emph type="italics"/>qui Authori alioquin ignotus, prouocauit prior; & <lb/>cui tamen nihil aut re&longs;pon&longs;um, aut oppo&longs;itum &longs;altem, fui&longs;&longs;et, <lb/>&longs;i is fui&longs;&longs;et creditus, qui ip&longs;a rei nouitate, quod iam ait, per­<lb/>celleretur, tanquam nemine alio hactenus inuento, qui in eius <lb/>a&longs;&longs;ertionibus, ac decretis pugnam aliquam, contrarietatemque <lb/>aut inuenißet, aut obiecißet. </s> | <s>Ip&longs;e <lb/>fuit<emph.end type="italics"/> R.P. <emph type="italics"/>qui Authori alioquin ignotus, prouocauit prior; & <lb/>cui tamen nihil aut re&longs;pon&longs;um, aut oppo&longs;itum &longs;altem, fui&longs;&longs;et, <lb/>&longs;i is fui&longs;&longs;et creditus, qui ip&longs;a rei nouitate, quod iam ait, per­<lb/>celleretur, tanquam nemine alio hactenus inuento, qui in eius <lb/>a&longs;&longs;ertionibus, ac decretis pugnam aliquam, contrarietatemque <lb/>aut inuenißet, aut obiecißet. </s> |
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| <s>Quare & e&longs;&longs;e &longs;ecurus pote&longs;t <lb/>iri deinceps nihil inqui&longs;itum in ea, quæ &longs;e dicit habere <lb/>ob&longs;curiora, incertioraque; fore autem, vt &longs;olitum affectum, <lb/>venerationemque &longs;emper experiatur.<emph.end type="italics"/><pb xlink:href="028/01/025.jpg"/><gap desc="hr tag"/></s></p><p type="main"> | <s>Quare & e&longs;&longs;e &longs;ecurus pote&longs;t <lb/>iri deinceps nihil inqui&longs;itum in ea, quæ &longs;e dicit habere <lb/>ob&longs;curiora, incertioraque; fore autem, vt &longs;olitum affectum, <lb/>venerationemque &longs;emper experiatur.<emph.end type="italics"/><pb xlink:href="028/01/025.jpg"/></s></p><p type="main"> |
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| <s><emph type="center"/>EPISTOLÆ TERTIÆ.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/>EPISTOLÆ TERTIÆ.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s>Quòd è curru, aut equo <lb/>citißimè abrepto, perinde ac quie&longs;cente, proiectæ &longs;ursùm res in <lb/>ip&longs;am manum reciderent: dimi&longs;&longs;æ cadere apparerent &longs;ecun­<lb/>dum perpendiculum; emi&longs;&longs;æ prorsùm, retror&longs;úmque, nec pro­<lb/>piùs, nec longiùs caderent in terram. </s> | <s>Quòd è curru, aut equo <lb/>citißimè abrepto, perinde ac quie&longs;cente, proiectæ &longs;ursùm res in <lb/>ip&longs;am manum reciderent: dimi&longs;&longs;æ cadere apparerent &longs;ecun­<lb/>dum perpendiculum; emi&longs;&longs;æ prorsùm, retror&longs;úmque, nec pro­<lb/>piùs, nec longiùs caderent in terram. </s> |
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| <s>Quòd dimi&longs;&longs;a pila <lb/>ab incedente, currenteve per complanatum locum, antro<gap/>m <lb/>&longs;emper procurreret; pari vi antrorsùm, retror&longs;úmque proie­<lb/>cta, pariabe&longs;&longs;et, dum à motu ce&longs;&longs;aret, à proiectore di&longs;tantia; &<emph.end type="italics"/><pb xlink:href="028/01/026.jpg"/><emph type="italics"/>proiecta &longs;peciatim retrorsùm, nunc aliquantúm excurreret, <lb/>nunc ad perpendiculum caderet, nunc proiectorem etiam &longs;eque­<lb/>retur; prout adactio manus retrorsúm e&longs;&longs;et velocior, æquè ve­<lb/>lox, aut minùs velox, quàm corporis prorsùm. </s> | <s>Quòd dimi&longs;&longs;a pila <lb/>ab incedente, currenteve per complanatum locum, antrorsùm <lb/>&longs;emper procurreret; pari vi antrorsùm, retror&longs;úmque proie­<lb/>cta, pariabe&longs;&longs;et, dum à motu ce&longs;&longs;aret, à proiectore di&longs;tantia; &<emph.end type="italics"/><pb xlink:href="028/01/026.jpg"/><emph type="italics"/>proiecta &longs;peciatim retrorsùm, nunc aliquantúm excurreret, <lb/>nunc ad perpendiculum caderet, nunc proiectorem etiam &longs;eque­<lb/>retur; prout adactio manus retrorsúm e&longs;&longs;et velocior, æquè ve­<lb/>lox, aut minùs velox, quàm corporis prorsùm. </s> |
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| <s>Jtaque horum <lb/>aliorumque Experimentorum explicandæ caußæ de&longs;tinata fue­<lb/>rat Epi&longs;tola Prior; ac fuerant ideò variæ de Motu attingendæ <lb/>difficultates. </s> | <s>Jtaque horum <lb/>aliorumque Experimentorum explicandæ caußæ de&longs;tinata fue­<lb/>rat Epi&longs;tola Prior; ac fuerant ideò variæ de Motu attingendæ <lb/>difficultates. </s> |
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| <s><emph type="italics"/>Cùm attrahi grauia à Terra videantur, ob cau&longs;&longs;am iam <lb/>expo&longs;itam: Ad illud, quod quærit R. P. quid ip&longs;i Terræ con-<emph.end type="italics"/><pb xlink:href="028/01/030.jpg"/><emph type="italics"/>tingeret, &longs;i ver&longs;us Lunam dimoueretur? </s> | <s><emph type="italics"/>Cùm attrahi grauia à Terra videantur, ob cau&longs;&longs;am iam <lb/>expo&longs;itam: Ad illud, quod quærit R. P. quid ip&longs;i Terræ con-<emph.end type="italics"/><pb xlink:href="028/01/030.jpg"/><emph type="italics"/>tingeret, &longs;i ver&longs;us Lunam dimoueretur? </s> |
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| <s>Dicitur e&longs;&longs;e probabi­<lb/>le, fore, vt vbicumque Terra con&longs;titueretur, illeic quie&longs;ceret<gap/><lb/>eo modo, quo corpus eiu&longs;ce materiæ, vt aquæ &longs;ub pari mole <lb/>æquiponderet, vbicumque in imo, in &longs;ummo, in medio, aut vbi­<lb/>uis intra aquam &longs;tatuatur, con&longs;i&longs;tit. </s> | <s>Dicitur e&longs;&longs;e probabi­<lb/>le, fore, vt vbicumque Terra con&longs;titueretur, illeic quie&longs;ceret <lb/>eo modo, quo corpus eiu&longs;ce materiæ, vt aquæ &longs;ub pari mole <lb/>æquiponderet, vbicumque in imo, in &longs;ummo, in medio, aut vbi­<lb/>uis intra aquam &longs;tatuatur, con&longs;i&longs;tit. </s> |
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| <s>Nimirùm, quòd Terra <lb/>&longs;ecundum &longs;i totam neque grauis &longs;it, neque leuis; & talis affe­<lb/>ctio partium propria &longs;it, prout à tota di&longs;trahuntur: quódque in <lb/>Mundo spherico ex&longs;i&longs;tente, medium quidem, & extremum <lb/>&longs;it, non item infimum, & &longs;ummum; ac ta is conditio &longs;it <lb/>Terræ, globorumque Mundi cæterorum propria, propter <lb/>eandem partium di&longs;tractionem, & retractionem, quæ &longs;igillatim <lb/>cum speciali cuiu&longs;que centro comparatur. </s> | <s>Nimirùm, quòd Terra <lb/>&longs;ecundum &longs;i totam neque grauis &longs;it, neque leuis; & talis affe­<lb/>ctio partium propria &longs;it, prout à tota di&longs;trahuntur: quódque in <lb/>Mundo spherico ex&longs;i&longs;tente, medium quidem, & extremum <lb/>&longs;it, non item infimum, & &longs;ummum; ac ta is conditio &longs;it <lb/>Terræ, globorumque Mundi cæterorum propria, propter <lb/>eandem partium di&longs;tractionem, & retractionem, quæ &longs;igillatim <lb/>cum speciali cuiu&longs;que centro comparatur. </s> |
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| <s>Ad aliud, quod quærit, quid eueniret lapidi, &longs;i <lb/>intra cauernam in meditullio Terræ excauatam, oppletamque <lb/>aqua, aut aëre constitueretur? </s> | <s>Ad aliud, quod quærit, quid eueniret lapidi, &longs;i <lb/>intra cauernam in meditullio Terræ excauatam, oppletamque <lb/>aqua, aut aëre constitueretur? </s> |
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| <s>Dicitur probabile e&longs;&longs;e, &longs;i Terra <lb/>quidem qua&longs;i magnes &longs;it, qui &longs;uis qua&longs;i radijs emißis attrahat <lb/>terrena: euenturum, vt lapis ineam cauernæ partem feratur, è <lb/>qua radij plures, confertiore&longs;que affluxerint; &, &longs;i &longs;upponan­<lb/>tur ex æquo vndequàque affluere, fore, vtin medio &longs;u&longs;pen&longs;us <lb/><gap/>eneatur. </s> | <s>Dicitur probabile e&longs;&longs;e, &longs;i Terra <lb/>quidem qua&longs;i magnes &longs;it, qui &longs;uis qua&longs;i radijs emißis attrahat <lb/>terrena: euenturum, vt lapis ineam cauernæ partem feratur, è <lb/>qua radij plures, confertiore&longs;que affluxerint; &, &longs;i &longs;upponan­<lb/>tur ex æquo vndequàque affluere, fore, vtin medio &longs;u&longs;pen&longs;us <lb/>teneatur. </s> |
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| <s>Vnde &, quod rogat, cur lapis in puteum dimi&longs;&longs;us <lb/>fundum petat, non latera? </s> | <s>Vnde &, quod rogat, cur lapis in puteum dimi&longs;&longs;us <lb/>fundum petat, non latera? </s> |
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| <s>Verùm legitimas non e&longs;&longs;e huiu&longs;modi con&longs;equutiones, declara­<lb/>tur, Tum ex eo, quòd o&longs;tenditur pari ratione deduci ea&longs;dem ex <lb/>placitis alijs, quæ à viris pijs, eruditi&longs;que defenduntur (cuiu&longs;­<lb/>modi &longs;unt illa de rotunditate Terræ; de Luna eclip&longs;in patiente <lb/>ob Terram, vt Terrapatitur ob Lunam; déque ip&longs;ius &longs;uperfi­<lb/>cie montibus, & conuallibus, terrenæ in&longs;tar interstincta: de <lb/>Terræ exilitate comparatè ad Stellas; aéque Luna adhûc lon­<lb/>gè exiliore, quæ præ illis tamen habetur in magnis luminari­<lb/>bus, atque ita de cæteris) Tum ex eò, quòd o&longs;tenditur, quàm <lb/>malè cohæreant cum Antecedente, ex quo deducuntur. </s> | <s>Verùm legitimas non e&longs;&longs;e huiu&longs;modi con&longs;equutiones, declara­<lb/>tur, Tum ex eo, quòd o&longs;tenditur pari ratione deduci ea&longs;dem ex <lb/>placitis alijs, quæ à viris pijs, eruditi&longs;que defenduntur (cuiu&longs;­<lb/>modi &longs;unt illa de rotunditate Terræ; de Luna eclip&longs;in patiente <lb/>ob Terram, vt Terrapatitur ob Lunam; déque ip&longs;ius &longs;uperfi­<lb/>cie montibus, & conuallibus, terrenæ in&longs;tar interstincta: de <lb/>Terræ exilitate comparatè ad Stellas; aéque Luna adhûc lon­<lb/>gè exiliore, quæ præ illis tamen habetur in magnis luminari­<lb/>bus, atque ita de cæteris) Tum ex eò, quòd o&longs;tenditur, quàm <lb/>malè cohæreant cum Antecedente, ex quo deducuntur. </s> |
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| <s>Quod <lb/>autem<emph.end type="italics"/> R. P. <emph type="italics"/>opinionem de motu Terræ fui&longs;&longs;e Eccle&longs;iæ &longs;uspe­<lb/>ctam ait à<emph.end type="italics"/> C<emph type="italics"/>opernici v&longs;que tempore; id Authori e&longs;t incomper­<lb/><gap/>m, & quod iam demùm damnatam ait decreto Ponti&longs;icio, <lb/>profitetur Author &longs;e vel &longs;ola fama, ac non expectata promul­<lb/>gatione legitima, ad id complectendum induci.<emph.end type="italics"/> A p. </s> | <s>Quod <lb/>autem<emph.end type="italics"/> R. P. <emph type="italics"/>opinionem de motu Terræ fui&longs;&longs;e Eccle&longs;iæ &longs;uspe­<lb/>ctam ait à<emph.end type="italics"/> C<emph type="italics"/>opernici v&longs;que tempore; id Authori e&longs;t incomper­<lb/>tum, & quod iam demùm damnatam ait decreto Ponti&longs;icio, <lb/>profitetur Author &longs;e vel &longs;ola fama, ac non expectata promul­<lb/>gatione legitima, ad id complectendum induci.<emph.end type="italics"/> A p. </s> |
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| <s>281 in 288. </s></p><p type="main"> | <s>281 in 288. </s></p><p type="main"> |
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| <s>Ac Author quidem <lb/>habet diuer&longs;a, quod Stellæ &longs;unt, & quod apparent, vt dicendum <lb/>illicò e&longs;t: interim autem illi re&longs;pondent, cùm ea &longs;it Fixarum <lb/>di&longs;tantia, vt nulla ob&longs;eruatio &longs;it, qua definire illam liceat, & <lb/>ab omnibus merègratis, próque lubitu maior, aut minor a&longs;&longs;u­<lb/>matur (nemine putà aliam rationem, quàm propriam &longs;iue opi­<lb/>nionem, &longs;iue voluntatem habente) ideò tam po&longs;&longs;e &longs;e maiorem, <lb/>quàm alios minorem eam a&longs;&longs;umere: imò & tantò magis, quantò <lb/>exinde fit commendatior tum concinnitas, tum maiestas operum <lb/>Dei. </s> | <s>Ac Author quidem <lb/>habet diuer&longs;a, quod Stellæ &longs;unt, & quod apparent, vt dicendum <lb/>illicò e&longs;t: interim autem illi re&longs;pondent, cùm ea &longs;it Fixarum <lb/>di&longs;tantia, vt nulla ob&longs;eruatio &longs;it, qua definire illam liceat, & <lb/>ab omnibus merègratis, próque lubitu maior, aut minor a&longs;&longs;u­<lb/>matur (nemine putà aliam rationem, quàm propriam &longs;iue opi­<lb/>nionem, &longs;iue voluntatem habente) ideò tam po&longs;&longs;e &longs;e maiorem, <lb/>quàm alios minorem eam a&longs;&longs;umere: imò & tantò magis, quantò <lb/>exinde fit commendatior tum concinnitas, tum maiestas operum <lb/>Dei. </s> |
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| <s>Quod ve<gap/>ò R. P. ab&longs;urdum habet cen&longs;eri Solem, qua&longs;i <lb/>vnam quampiam Fixarum, & Fixas e&longs;&longs;e qua&longs;i totidem<emph.end type="italics"/> S<emph type="italics"/>oleis: <lb/>iubent illi attendere, veliuxta ip&longs;am communem &longs;ententiam <lb/>(quæ tam propè admouet Fixas) &longs;i Sol recedat, quantum Fixæ, <lb/>Fixæ accedant, quantum<emph.end type="italics"/> S<emph type="italics"/>ol, fore vt<emph.end type="italics"/> S<emph type="italics"/>ol, qua&longs;i vna Fixarum, <lb/>& vna Fixarum, qua&longs;i<emph.end type="italics"/> S<emph type="italics"/>ol appareat.<emph.end type="italics"/> A p 288. in 293. </s></p><p type="main"> | <s>Quod verò R. P. ab&longs;urdum habet cen&longs;eri Solem, qua&longs;i <lb/>vnam quampiam Fixarum, & Fixas e&longs;&longs;e qua&longs;i totidem<emph.end type="italics"/> S<emph type="italics"/>oleis: <lb/>iubent illi attendere, veliuxta ip&longs;am communem &longs;ententiam <lb/>(quæ tam propè admouet Fixas) &longs;i Sol recedat, quantum Fixæ, <lb/>Fixæ accedant, quantum<emph.end type="italics"/> S<emph type="italics"/>ol, fore vt<emph.end type="italics"/> S<emph type="italics"/>ol, qua&longs;i vna Fixarum, <lb/>& vna Fixarum, qua&longs;i<emph.end type="italics"/> S<emph type="italics"/>ol appareat.<emph.end type="italics"/> A p 288. in 293. </s></p><p type="main"> |
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| <s>ART. XXXIV. XXXV. XXXVI. XXXVII. <lb/><!-- KEEP S--></s> | <s>ART. XXXIV. XXXV. XXXVI. XXXVII. <lb/><!-- KEEP S--></s> |
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| <s>3 l. <!-- REMOVE S-->2<gap/>. <emph type="italics"/>e<gap/>ruam Omi&longs;&longs;a in i<gap/>xtu.<emph.end type="italics"/> p. </s> | <s>3 l. 22. <emph type="italics"/>curuam Omi&longs;&longs;a in textu.<emph.end type="italics"/> p. </s> |
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| <s>293. l. <!-- REMOVE S-->10. lege <foreign lang="greek"><gap/>w<gap/>. </foreign></s> | <s>293. l. <!-- REMOVE S-->10. lege <foreign lang="greek">u(p' a)llou=. </foreign></s> |
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| <s> Agnoui verò imprimis illam &longs;in­<lb/>gularem beneuolentiam, qua perrexi&longs;ti ob&longs;tringere <lb/>me, quæque e&longs;t &longs;anè tota ad tuam bonitatis eximiæ <lb/>indolem accepta ferenda. </s> | <s> Agnoui verò imprimis illam &longs;in­<lb/>gularem beneuolentiam, qua perrexi&longs;ti ob&longs;tringere <lb/>me, quæque e&longs;t &longs;anè tota ad tuam bonitatis eximiæ <lb/>indolem accepta ferenda. </s> |
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| <s>Promptum deinde fuit <lb/>memini&longs;&longs;e eruditæ Epi&longs;tolæ, qua ante duos annos ea <lb/>&longs;ignifica&longs;ti, quæ in meis illis, <emph type="italics"/>de Motu impre&longs;&longs;o à motore <lb/>tran&longs;lato,<emph.end type="italics"/> minimè probares; ac illud inter cætera, quòd <pb xlink:href="028/01/042.jpg" pagenum="2"/>&longs;en&longs;i&longs;&longs;em cum Galileo, <emph type="italics"/>Motum naturalem rerum deci­<lb/>dentium ea ratione accelerari, vt &longs;uperata &longs;patia temporibus <lb/>æqualibus, numerorum imparium progreßionem imitarentur.<emph.end type="italics"/><lb/>Commemini etiam, cùm fui&longs;&longs;em conatus facere &longs;atis <lb/>in cæteris, expetii&longs;&longs;e me, vt quia neque Paralogi&longs;mum, <lb/>quem in Galileo cau&longs;abaris, animaduerti&longs;&longs;em, neque <lb/>experientia, aut ratio mon&longs;tra&longs;&longs;et quidpiam oppo&longs;i­<lb/>tum; <gap/>ig<gap/>areris ip&longs;e tum mihi fallaciam Galilei rete­<lb/>gere, tum inuentam illam à te progre&longs;&longs;ionem me edo­<lb/>cere. </s> | <s>Promptum deinde fuit <lb/>memini&longs;&longs;e eruditæ Epi&longs;tolæ, qua ante duos annos ea <lb/>&longs;ignifica&longs;ti, quæ in meis illis, <emph type="italics"/>de Motu impre&longs;&longs;o à motore <lb/>tran&longs;lato,<emph.end type="italics"/> minimè probares; ac illud inter cætera, quòd <pb xlink:href="028/01/042.jpg" pagenum="2"/>&longs;en&longs;i&longs;&longs;em cum Galileo, <emph type="italics"/>Motum naturalem rerum deci­<lb/>dentium ea ratione accelerari, vt &longs;uperata &longs;patia temporibus <lb/>æqualibus, numerorum imparium progreßionem imitarentur.<emph.end type="italics"/><lb/>Commemini etiam, cùm fui&longs;&longs;em conatus facere &longs;atis <lb/>in cæteris, expetii&longs;&longs;e me, vt quia neque Paralogi&longs;mum, <lb/>quem in Galileo cau&longs;abaris, animaduerti&longs;&longs;em, neque <lb/>experientia, aut ratio mon&longs;tra&longs;&longs;et quidpiam oppo&longs;i­<lb/>tum; dignareris ip&longs;e tum mihi fallaciam Galilei rete­<lb/>gere, tum inuentam illam à te progre&longs;&longs;ionem me edo­<lb/>cere. </s> |
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| <s>Volui&longs;ti id porrò nunc <expan abbr="demũ">demum</expan> cumulati&longs;&longs;imè præ­<lb/>&longs;tare, ac me vel ex eo deuinxi&longs;ti, quòd euulgare Medi­<lb/>tationes de motu præclaras aggre&longs;&longs;us, hanc e&longs;&longs;e pri­<lb/>mam volueris, quam non creditori profectò, qualem <lb/>me habes, per&longs;olueres; &longs;ed debitori, qualem me potiùs <lb/>ingenuè fateor, oppignerares. </s> | <s>Volui&longs;ti id porrò nunc <expan abbr="demũ">demum</expan> cumulati&longs;&longs;imè præ­<lb/>&longs;tare, ac me vel ex eo deuinxi&longs;ti, quòd euulgare Medi­<lb/>tationes de motu præclaras aggre&longs;&longs;us, hanc e&longs;&longs;e pri­<lb/>mam volueris, quam non creditori profectò, qualem <lb/>me habes, per&longs;olueres; &longs;ed debitori, qualem me potiùs <lb/>ingenuè fateor, oppignerares. </s> |
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| <s>VI. <!-- KEEP S--></s> | <s>VI. <!-- KEEP S--></s> |
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| <s>Vt ordine autem de &longs;ingulis dicam, & à <lb/>Priore capite incipiam, <emph type="italics"/>Primum errorem, & tanquam <lb/>originem cæterorum<emph.end type="italics"/> dicis, quòd <emph type="italics"/>Galileus fal&longs;am hanc ac­<lb/>celerati Motus definitionem in&longs;tituerit, Motum æquabiliter <lb/>acceleratum dico eum, qui à quiete recedens temporibus æqua­<lb/>libus æqualia celeritatis momenta acquirat.<emph.end type="italics"/></s><s> Rem autem <lb/>putas eius momenti, vt dicas <emph type="italics"/>te contendere huiu&longs;modi <lb/>definitionem adulterinam e&longs;&longs;e, ac fal&longs;am; & quicquid <lb/>toto illo Libro de eodem motu accelerato, &longs;atis alioquin <lb/>ingeniosè<emph.end type="italics"/> G<emph type="italics"/>alileus commentus e&longs;t, nibil veritatis habere.<emph.end type="italics"/><lb/>Improbas &longs;ubinde, quòd <emph type="italics"/>definitionem non experientia <lb/>certa, ac euidenti confirmauerit, &longs;ed ab eius tantum &longs;im­<lb/>plicitate motibus naturalibus maximè congruente; à per­<lb/>fecta cum demon&longs;tratis à &longs;e theorematibus con&longs;en&longs;ione; & <lb/>ab aperta, vt ip&longs;e quidem fidenter a&longs;&longs;erat, receptæ vulgò <lb/>definitionis ab&longs;urditate.<emph.end type="italics"/></s><s> Tum verò circa &longs;implicitatem <lb/>perpendere &longs;olùm me iubes, an non &longs;implicior &longs;it <lb/>definitio, quæ à cæteris vulgò v&longs;urpatur, dum Mo­<lb/>tum æquabiliter acceleratum eum potiùs e&longs;&longs;e a&longs;&longs;e-<pb xlink:href="028/01/050.jpg" pagenum="10"/>runt, <emph type="italics"/>Qui æqualibus &longs;patijs æqualia celeritatis augmenta <lb/>acquirit.<emph.end type="italics"/></s><s> Circa con&longs;en&longs;ionem autem &longs;olùm, bucis, <lb/><emph type="italics"/>nouum non e&longs;&longs;e, &longs;i fal&longs;a fal&longs;is ap<gap/>è quandó que, & con­<lb/>cinnè cohæreant;<emph.end type="italics"/> ac po&longs;tremò in eo in&longs;iltis, vt probes <lb/>e&longs;&longs;e paralogi&longs;mum, quo ille vulgarem, moxque re­<lb/>latam definitionem ab&longs;urditatis apertæ damna­<lb/>uit. </s></p><p type="main"> | <s>Vt ordine autem de &longs;ingulis dicam, & à <lb/>Priore capite incipiam, <emph type="italics"/>Primum errorem, & tanquam <lb/>originem cæterorum<emph.end type="italics"/> dicis, quòd <emph type="italics"/>Galileus fal&longs;am hanc ac­<lb/>celerati Motus definitionem in&longs;tituerit, Motum æquabiliter <lb/>acceleratum dico eum, qui à quiete recedens temporibus æqua­<lb/>libus æqualia celeritatis momenta acquirat.<emph.end type="italics"/></s><s> Rem autem <lb/>putas eius momenti, vt dicas <emph type="italics"/>te contendere huiu&longs;modi <lb/>definitionem adulterinam e&longs;&longs;e, ac fal&longs;am; & quicquid <lb/>toto illo Libro de eodem motu accelerato, &longs;atis alioquin <lb/>ingeniosè<emph.end type="italics"/> G<emph type="italics"/>alileus commentus e&longs;t, nibil veritatis habere.<emph.end type="italics"/><lb/>Improbas &longs;ubinde, quòd <emph type="italics"/>definitionem non experientia <lb/>certa, ac euidenti confirmauerit, &longs;ed ab eius tantum &longs;im­<lb/>plicitate motibus naturalibus maximè congruente; à per­<lb/>fecta cum demon&longs;tratis à &longs;e theorematibus con&longs;en&longs;ione; & <lb/>ab aperta, vt ip&longs;e quidem fidenter a&longs;&longs;erat, receptæ vulgò <lb/>definitionis ab&longs;urditate.<emph.end type="italics"/></s><s> Tum verò circa &longs;implicitatem <lb/>perpendere &longs;olùm me iubes, an non &longs;implicior &longs;it <lb/>definitio, quæ à cæteris vulgò v&longs;urpatur, dum Mo­<lb/>tum æquabiliter acceleratum eum potiùs e&longs;&longs;e a&longs;&longs;e-<pb xlink:href="028/01/050.jpg" pagenum="10"/>runt, <emph type="italics"/>Qui æqualibus &longs;patijs æqualia celeritatis augmenta <lb/>acquirit.<emph.end type="italics"/></s><s> Circa con&longs;en&longs;ionem autem &longs;olùm, bucis, <lb/><emph type="italics"/>nouum non e&longs;&longs;e, &longs;i fal&longs;a fal&longs;is aptè quandó que, & con­<lb/>cinnè cohæreant;<emph.end type="italics"/> ac po&longs;tremò in eo in&longs;iltis, vt probes <lb/>e&longs;&longs;e paralogi&longs;mum, quo ille vulgarem, moxque re­<lb/>latam definitionem ab&longs;urditatis apertæ damna­<lb/>uit. </s></p><p type="main"> |
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| <s>VII Ego intereà, optime Vir, neque video De­<lb/>&longs;initionem a Galileo in&longs;titutam à te directè impu­<lb/>gnari, fal&longs;itati&longs;ve vllius conuinci; neque agno&longs;co quî <lb/>magis vera, congruaque potuerit in&longs;titui. </s> | <s>VII Ego intereà, optime Vir, neque video De­<lb/>&longs;initionem a Galileo in&longs;titutam à te directè impu­<lb/>gnari, fal&longs;itati&longs;ve vllius conuinci; neque agno&longs;co quî <lb/>magis vera, congruaque potuerit in&longs;titui. </s> |
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| <s>Aptentur deinde ad CD duo triangula æqua­<lb/>lia tum inter &longs;e, tum cum ip&longs;o ALC, <expan abbr="quorũ">quorum</expan> CMD <lb/>repræ&longs;entet illum, qui &longs;ecundò acquiritur, LCM au­<lb/>tem primò aqui&longs;itum, ac per&longs;euerantem. </s> | <s>Aptentur deinde ad CD duo triangula æqua­<lb/>lia tum inter &longs;e, tum cum ip&longs;o ALC, <expan abbr="quorũ">quorum</expan> CMD <lb/>repræ&longs;entet illum, qui &longs;ecundò acquiritur, LCM au­<lb/>tem primò aqui&longs;itum, ac per&longs;euerantem. </s> |
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| <s>Nihil e&longs;t <lb/>opus, vt de&longs;ude<gap/> ad o&longs;tendendum non increui&longs;&longs;e <lb/>velocitatem æquabiliter, eodemve tenore ex C in D, <lb/>quo incœperat, perrexeratque v&longs;que in D; vt feci&longs;&longs;et <lb/>enim, oporteret de&longs;criptum e&longs;&longs;e non quadrangulum <lb/>LD con&longs;tans ex duobus triangulis; &longs;ed trapezion CN <lb/>con&longs;titutum ex tribus. </s> | <s>Nihil e&longs;t <lb/>opus, vt <expan abbr="de&longs;ude">de&longs;udes</expan> ad o&longs;tendendum non increui&longs;&longs;e <lb/>velocitatem æquabiliter, eodemve tenore ex C in D, <lb/>quo incœperat, perrexeratque v&longs;que in D; vt feci&longs;&longs;et <lb/>enim, oporteret de&longs;criptum e&longs;&longs;e non quadrangulum <lb/>LD con&longs;tans ex duobus triangulis; &longs;ed trapezion CN <lb/>con&longs;titutum ex tribus. </s> |
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| <s>Eadem autem ratione mani­<lb/>fe&longs;tum e&longs;t, &longs;i ad DE aptentur tria triangula, defutura <lb/>duo; &longs;i ad EF quatuor, defutura tria, & ita deinceps, <pb xlink:href="028/01/054.jpg" pagenum="14"/>quov&longs;que, &longs;i ad KB aptentur nouem, &longs;int defutura <lb/>octo; vt proinde intelligamus totidem dce&longs;&longs;e ad acce­<lb/>lerationis æquabilitatem velocitatis gradus, quot nu­<lb/>merare licet triangulos ad læuam è regione cuiu&longs;que <lb/>partis, complendo &longs;ummam triangulorum APB. <lb/><!-- KEEP S--></s> | <s>Eadem autem ratione mani­<lb/>fe&longs;tum e&longs;t, &longs;i ad DE aptentur tria triangula, defutura <lb/>duo; &longs;i ad EF quatuor, defutura tria, & ita deinceps, <pb xlink:href="028/01/054.jpg" pagenum="14"/>quov&longs;que, &longs;i ad KB aptentur nouem, &longs;int defutura <lb/>octo; vt proinde intelligamus totidem dce&longs;&longs;e ad acce­<lb/>lerationis æquabilitatem velocitatis gradus, quot nu­<lb/>merare licet triangulos ad læuam è regione cuiu&longs;que <lb/>partis, complendo &longs;ummam triangulorum APB. <lb/><!-- KEEP S--></s> |
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| <s>Jmpoßibile est au­<lb/>tem, vt corpus graue de&longs;cendens per AC eodem, <lb/>aut æquali tempore percurrat totam AC, quo per­<lb/>currit partem eius AB, ni&longs;i motus fiat in instanti. <lb/></s> | <s>Jmpoßibile est au­<lb/>tem, vt corpus graue de&longs;cendens per AC eodem, <lb/>aut æquali tempore percurrat totam AC, quo per­<lb/>currit partem eius AB, ni&longs;i motus fiat in instanti. <lb/></s> |
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| <s>Tam impoßibile e&longs;t igitur, vt velocitates in de&longs;cen&longs;u <lb/>grauium inter &longs;e &longs;int, vt emen&longs;a &longs;patia (ac proinde, <lb/>vt etiam æqualibus &longs;patiis cre&longs;cant æqualiter) quàm <lb/>impoßibile e&longs;t motum illum fieri in instanti.<emph.end type="italics"/></s><s> Pergis &longs;ub­<lb/>inde, <emph type="italics"/>Proh tuam, mi<emph.end type="italics"/> G<emph type="italics"/>a&longs;&longs;ende, Philo&longs;ophorumque omnium, <lb/>ac Mathematicorum fidem! istud<gap/>ne demon&longs;trare e&longs;t? </s> | <s>Tam impoßibile e&longs;t igitur, vt velocitates in de&longs;cen&longs;u <lb/>grauium inter &longs;e &longs;int, vt emen&longs;a &longs;patia (ac proinde, <lb/>vt etiam æqualibus &longs;patiis cre&longs;cant æqualiter) quàm <lb/>impoßibile e&longs;t motum illum fieri in instanti.<emph.end type="italics"/></s><s> Pergis &longs;ub­<lb/>inde, <emph type="italics"/>Proh tuam, mi<emph.end type="italics"/> G<emph type="italics"/>a&longs;&longs;ende, Philo&longs;ophorumque omnium, <lb/>ac Mathematicorum fidem! istudne demon&longs;trare e&longs;t? </s> |
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| <s>Et <lb/>tamen mirum quantum Galileus de hac, vt putat, &longs;ubtili, <lb/>clara, euidenti, ac Mathematica demon&longs;tratione &longs;ibi applau­<lb/><gap/>at, quam integra pagina mirificis laudibus exaggerat. </s> | <s>Et <lb/>tamen mirum quantum Galileus de hac, vt putat, &longs;ubtili, <lb/>clara, euidenti, ac Mathematica demon&longs;tratione &longs;ibi applau­<lb/>dat, quam integra pagina mirificis laudibus exaggerat. </s> |
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| <s>Sed <lb/>illud multò adhûc mirabiùus, quod Lynceus Philo&longs;ophus, ac <lb/>Mathematicus, Lynceorumque princeps in tam aperta <lb/>luce cæcutiat, & vir eius nominis tam facilè deludatur.<emph.end type="italics"/></s></p><p type="main"> | <s>Sed <lb/>illud multò adhûc mirabiùus, quod Lynceus Philo&longs;ophus, ac <lb/>Mathematicus, Lynceorumque princeps in tam aperta <lb/>luce cæcutiat, & vir eius nominis tam facilè deludatur.<emph.end type="italics"/></s></p><p type="main"> |
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| <s>Nam di&longs;crimen e&longs;t quidem inter mo­<lb/>tum acceleratum, & æquabilem, quòd in æquabili <lb/>partes &longs;patiorum æquales percurrantur æqualibus <lb/>temporibus, vt &longs;ingulæ partes lineæ DE &longs;ingulis mi­<lb/>nutis, & geminæ partes lineæ AC minutis item &longs;in­<lb/>gulis; in accelerato non item: At in eo tamen motus <lb/>conueniunt, quòd vbique velocitas per totam AC <lb/>dupla &longs;it velocitatis per totam DE; & qua ratione <lb/>plures, plure&longs;que ex &longs;ingulis partibus lineæ DE <pb xlink:href="028/01/057.jpg" pagenum="17"/>percurruntur æqualibus temporibus, percurruntur <lb/>quoque plures, plure&longs;que ex geminatis lineæ AC. <lb/><!-- KEEP S--></s> | <s>Nam di&longs;crimen e&longs;t quidem inter mo­<lb/>tum acceleratum, & æquabilem, quòd in æquabili <lb/>partes &longs;patiorum æquales percurrantur æqualibus <lb/>temporibus, vt &longs;ingulæ partes lineæ DE &longs;ingulis mi­<lb/>nutis, & geminæ partes lineæ AC minutis item &longs;in­<lb/>gulis; in accelerato non item: At in eo tamen motus <lb/>conueniunt, quòd vbique velocitas per totam AC <lb/>dupla &longs;it velocitatis per totam DE; & qua ratione <lb/>plures, plure&longs;que ex &longs;ingulis partibus lineæ DE <pb xlink:href="028/01/057.jpg" pagenum="17"/>percurruntur æqualibus temporibus, percurruntur <lb/>quoque plures, plure&longs;que ex geminatis lineæ AC. <lb/><!-- KEEP S--></s> |
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| <s>Ex hoc autem &longs;it, vt quemadmodum in æquabili mo­<lb/>tu, DE percurreb<gap/>tur &longs;ex minutis, & AC &longs;imiliter <lb/>&longs;ex, ob geminas parteis i&longs;tius corre&longs;pondenteis &longs;ingu­<lb/>lis illius, ita in accelerato, &longs;i DE percurratur tribus <lb/>minutis, AC percurratur &longs;imiliter tribus; quòd dum <lb/>primo minuto percurritur pars illius vna, percurran­<lb/>tur i&longs;tius duæ, ob ge minam velocitatem; & ob ean­<lb/>dem cau&longs;&longs;am, dum &longs;ecundo minuto percurruntur <lb/>illius duæ, percurrantur i&longs;tius quatuor, dum tertio <lb/>demùm illius tres, percurrantur i&longs;tius &longs;ex. </s> | <s>Ex hoc autem &longs;it, vt quemadmodum in æquabili mo­<lb/>tu, DE percurrebatur &longs;ex minutis, & AC &longs;imiliter <lb/>&longs;ex, ob geminas parteis i&longs;tius corre&longs;pondenteis &longs;ingu­<lb/>lis illius, ita in accelerato, &longs;i DE percurratur tribus <lb/>minutis, AC percurratur &longs;imiliter tribus; quòd dum <lb/>primo minuto percurritur pars illius vna, percurran­<lb/>tur i&longs;tius duæ, ob ge minam velocitatem; & ob ean­<lb/>dem cau&longs;&longs;am, dum &longs;ecundo minuto percurruntur <lb/>illius duæ, percurrantur i&longs;tius quatuor, dum tertio <lb/>demùm illius tres, percurrantur i&longs;tius &longs;ex. </s> |
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| <s>Nim rùm <lb/>non alia ratione dici po&longs;&longs;ent habere &longs;e velocitates vt <lb/>&longs;patia: neque velocitas per totam AC dupla e&longs;&longs;et ve­<lb/>locitatis per totam DE E&longs;to deinde vnicum mobile, <lb/>quod decedens ab A, tendat ver&longs;us C, & &longs;it rursùs <lb/>velocitas per totam AC dupla velocitatis per totam <lb/>AB, patet idem prorsùs dicendum de AC, re&longs;pectu <lb/>AB, quod dictum fuit de eadem re&longs;pectu DE. <!-- KEEP S--></s> | <s>Nim rùm <lb/>non alia ratione dici po&longs;&longs;ent habere &longs;e velocitates vt <lb/>&longs;patia: neque velocitas per totam AC dupla e&longs;&longs;et ve­<lb/>locitatis per totam DE E&longs;to deinde vnicum mobile, <lb/>quod decedens ab A, tendat ver&longs;us C, & &longs;it rursùs <lb/>velocitas per totam AC dupla velocitatis per totam <lb/>AB, patet idem prorsùs dicendum de AC, re&longs;pectu <lb/>AB, quod dictum fuit de eadem re&longs;pectu DE. <!-- KEEP S--></s> |
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| <s>Atque ego quidem rem itaconcipio. </s></p><p type="main"> | <s>Atque ego quidem rem itaconcipio. </s></p><p type="main"> |
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| <s>XI Verum tu &longs;i m&longs;tas, <emph type="italics"/>Vt prima illius Paralo­<lb/>gi&longs;mi a&longs;&longs;umptio in motu vniformi, ac perpetuò &longs;ibi æquali<emph.end type="italics"/><pb xlink:href="028/01/058.jpg" pagenum="18"/><emph type="italics"/>vera, & nece&longs;&longs;aria &longs;it; in motu tamen accelerato min<gap/>me <lb/>nece&longs;&longs;aria e&longs;t, & non vno modo tantum, &longs;ed pluribus in­<lb/>telligi potest, quo modo velocitates &longs;int inter &longs;e, vt emen&longs;a <lb/>&longs;patia: licet eadem &longs;patia neque eodem, neque æquali tem­<lb/>pore percurrantur.<emph.end type="italics"/></s><s> Pergis autem, <emph type="italics"/>Vt, &longs;i graue de&longs;cen-<emph.end type="italics"/><lb/><emph type="italics"/>dens per AB tempus quodcumque in&longs;umat, putà qua­<lb/><figure id="id.028.01.058.1.jpg" xlink:href="028/01/058/1.jpg"/><lb/>drantem; ac deinde BC ip&longs;i AB æquale, dimidio <lb/>quadrante percurrat; quis neget in<emph.end type="italics"/> C <emph type="italics"/>duplam ha­<lb/>beri velocitatem eius, quæ fuit in B? & tamen <lb/>idem graue totam AC, & dimidium eius AB <lb/>non percurreret.<emph.end type="italics"/></s><s> Et hæc e&longs;t quidem tota tua ad <lb/>conuincendum paralogi&longs;mi Galileum proba­<lb/>tio, ob quam continenter hæc verba &longs;ubiun­<lb/>gis: <emph type="italics"/>A&longs;&longs;umptio igitur Galilei fal&longs;a e&longs;t, & tota eius <lb/>ratiocinatio merus Paralogi&longs;mus id óque nullo modo, vt ip&longs;e <lb/>gloriatur communem, &longs;anioremque aliorum &longs;en&longs;um erroris <lb/>reuincit, qui in naturali grauium de&longs;cen&longs;u volunt æqualibus <lb/>spatijs æqualia velocitatis momenta acquiri.<emph.end type="italics"/></s><s> An verò pa­<lb/>tietur tua bonitas, &longs;i dicam po&longs;&longs;e cuipiam videri, e&longs;&longs;e <lb/>te potiùs, qui hoc loco incidas in paralogi&longs;mum? </s> | <s>XI Verum tu &longs;i m&longs;tas, <emph type="italics"/>Vt prima illius Paralo­<lb/>gi&longs;mi a&longs;&longs;umptio in motu vniformi, ac perpetuò &longs;ibi æquali<emph.end type="italics"/><pb xlink:href="028/01/058.jpg" pagenum="18"/><emph type="italics"/>vera, & nece&longs;&longs;aria &longs;it; in motu tamen accelerato minime <lb/>nece&longs;&longs;aria e&longs;t, & non vno modo tantum, &longs;ed pluribus in­<lb/>telligi potest, quo modo velocitates &longs;int inter &longs;e, vt emen&longs;a <lb/>&longs;patia: licet eadem &longs;patia neque eodem, neque æquali tem­<lb/>pore percurrantur.<emph.end type="italics"/></s><s> Pergis autem, <emph type="italics"/>Vt, &longs;i graue de&longs;cen-<emph.end type="italics"/><lb/><emph type="italics"/>dens per AB tempus quodcumque in&longs;umat, putà qua­<lb/><figure id="id.028.01.058.1.jpg" xlink:href="028/01/058/1.jpg"/><lb/>drantem; ac deinde BC ip&longs;i AB æquale, dimidio <lb/>quadrante percurrat; quis neget in<emph.end type="italics"/> C <emph type="italics"/>duplam ha­<lb/>beri velocitatem eius, quæ fuit in B? & tamen <lb/>idem graue totam AC, & dimidium eius AB <lb/>non percurreret.<emph.end type="italics"/></s><s> Et hæc e&longs;t quidem tota tua ad <lb/>conuincendum paralogi&longs;mi Galileum proba­<lb/>tio, ob quam continenter hæc verba &longs;ubiun­<lb/>gis: <emph type="italics"/>A&longs;&longs;umptio igitur Galilei fal&longs;a e&longs;t, & tota eius <lb/>ratiocinatio merus Paralogi&longs;mus id óque nullo modo, vt ip&longs;e <lb/>gloriatur communem, &longs;anioremque aliorum &longs;en&longs;um erroris <lb/>reuincit, qui in naturali grauium de&longs;cen&longs;u volunt æqualibus <lb/>spatijs æqualia velocitatis momenta acquiri.<emph.end type="italics"/></s><s> An verò pa­<lb/>tietur tua bonitas, &longs;i dicam po&longs;&longs;e cuipiam videri, e&longs;&longs;e <lb/>te potiùs, qui hoc loco incidas in paralogi&longs;mum? </s> |
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| <s>Ni­<lb/>mirum videris &longs;ic argumentari, vt id, quod contro­<lb/>uertitur, a&longs;&longs;umas pro principio, dum nihil aliud, quàm <lb/>&longs;upponis &longs;patium AB, percurri duplo temporis, quo <lb/>&longs;patium BC; & velocitatem in C, e&longs;&longs;e duplam eius, <lb/>quæ fuit in B; quæ ip&longs;a tamen e&longs;t controuer&longs;ia. </s> | <s>Ni­<lb/>mirum videris &longs;ic argumentari, vt id, quod contro­<lb/>uertitur, a&longs;&longs;umas pro principio, dum nihil aliud, quàm <lb/>&longs;upponis &longs;patium AB, percurri duplo temporis, quo <lb/>&longs;patium BC; & velocitatem in C, e&longs;&longs;e duplam eius, <lb/>quæ fuit in B; quæ ip&longs;a tamen e&longs;t controuer&longs;ia. </s> |
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| <s>XIII. <!-- KEEP S--></s> | <s>XIII. <!-- KEEP S--></s> |
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| <s>In&longs;ectaris &longs;ecundo loco, tanquam aliam <lb/>erroris cau&longs;&longs;am, Quod Galileus &longs;ibi dari, & gratis <lb/>concedi, inquis, po&longs;tulat, <emph type="italics"/>Gradus velocitatis eiu&longs;dem <lb/>mobilis &longs;uper diuer&longs;as planorum inclinationes acqui&longs;itos tunc <lb/>e&longs;&longs;e æqualeis, cùm eorumdem planorum eleuationes ponuntur<emph.end type="italics"/><lb/><emph type="italics"/>æquales;<emph.end type="italics"/> hoc e&longs;t gradus velo­<lb/><figure id="id.028.01.061.1.jpg" xlink:href="028/01/061/1.jpg"/><lb/>citatis ab eodem globo (exem­<lb/>pli gratia) per plana CA, & <lb/>CD de&longs;cendente, in punctis <lb/>A, & D acqui&longs;itos, e&longs;&longs;e inter &longs;e <lb/>æqualeis, quòd æqualem, vel potiùs eandem eleua­<lb/>tionem habeant, videlicet BC. <emph type="italics"/>Hoc enim po&longs;tula­<lb/>tum,<emph.end type="italics"/> inquis, <emph type="italics"/>cùm neque ex terminis notum &longs;it, neque vlla <lb/>&longs;ufficiente experientia confirmatum; imò cùm rationes etiam <lb/>non de&longs;int, quibus oppo&longs;itum probabilius reddatur (nempe <lb/>gradus velocitatis per longius planum acqui&longs;itos gradi<gap/>us <lb/>per breuius planum acqui&longs;itis e&longs;&longs;e minores) id à Galileo non <lb/>peti, &longs;ed debuerat demon&longs;trari cùm præ&longs;ertim maxima pars <lb/>&longs;ub&longs;equentium theorematum hoc vnico postu ato nitantur. <lb/></s> | <s>In&longs;ectaris &longs;ecundo loco, tanquam aliam <lb/>erroris cau&longs;&longs;am, Quod Galileus &longs;ibi dari, & gratis <lb/>concedi, inquis, po&longs;tulat, <emph type="italics"/>Gradus velocitatis eiu&longs;dem <lb/>mobilis &longs;uper diuer&longs;as planorum inclinationes acqui&longs;itos tunc <lb/>e&longs;&longs;e æqualeis, cùm eorumdem planorum eleuationes ponuntur<emph.end type="italics"/><lb/><emph type="italics"/>æquales;<emph.end type="italics"/> hoc e&longs;t gradus velo­<lb/><figure id="id.028.01.061.1.jpg" xlink:href="028/01/061/1.jpg"/><lb/>citatis ab eodem globo (exem­<lb/>pli gratia) per plana CA, & <lb/>CD de&longs;cendente, in punctis <lb/>A, & D acqui&longs;itos, e&longs;&longs;e inter &longs;e <lb/>æqualeis, quòd æqualem, vel potiùs eandem eleua­<lb/>tionem habeant, videlicet BC. <emph type="italics"/>Hoc enim po&longs;tula­<lb/>tum,<emph.end type="italics"/> inquis, <emph type="italics"/>cùm neque ex terminis notum &longs;it, neque vlla <lb/>&longs;ufficiente experientia confirmatum; imò cùm rationes etiam <lb/>non de&longs;int, quibus oppo&longs;itum probabilius reddatur (nempe <lb/>gradus velocitatis per longius planum acqui&longs;itos gradibus <lb/>per breuius planum acqui&longs;itis e&longs;&longs;e minores) id à Galileo non <lb/>peti, &longs;ed debuerat demon&longs;trari cùm præ&longs;ertim maxima pars <lb/>&longs;ub&longs;equentium theorematum hoc vnico postulato nitantur. <lb/></s> |
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| <s>Quid enim certi ex incertis concludi pote&longs;t. </s> | <s>Quid enim certi ex incertis concludi pote&longs;t. </s> |
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| <s>Ad hæc, addam-ne fui&longs;&longs;e rem mihi <lb/>quodammodò &longs;tupendam, acce&longs;&longs;i&longs;&longs;e ca&longs;u ad me i&longs;ta <lb/>con&longs;cribentem, nobili&longs;&longs;imum Senatorem Petrum <lb/>Calcauium virum omninò promouendis bonis arti­<lb/>bus comparatum, puræque cum-primis Mathe&longs;eos <lb/>&longs;tudio&longs;i&longs;&longs;imum; ac vi&longs;a mihi præ manibus tua Di&longs;&longs;er­<lb/>tatione, argumentóque cognito, innui&longs;&longs;e tran&longs;mi&longs;­<lb/>&longs;um in hanc vrbem exemplum editi nuperrimè Libri <lb/>ab Euangeli&longs;ta Torricellio, qui Galilei &longs;ucce&longs;&longs;or exi­<lb/>mius demon&longs;trauerit in eo i&longs;tud Po&longs;tulatum? </s> | <s>Ad hæc, addam-ne fui&longs;&longs;e rem mihi <lb/>quodammodò &longs;tupendam, acce&longs;&longs;i&longs;&longs;e ca&longs;u ad me i&longs;ta <lb/>con&longs;cribentem, nobili&longs;&longs;imum Senatorem Petrum <lb/>Calcauium virum omninò promouendis bonis arti­<lb/>bus comparatum, puræque cum-primis Mathe&longs;eos <lb/>&longs;tudio&longs;i&longs;&longs;imum; ac vi&longs;a mihi præ manibus tua Di&longs;&longs;er­<lb/>tatione, argumentóque cognito, innui&longs;&longs;e tran&longs;mi&longs;­<lb/>&longs;um in hanc vrbem exemplum editi nuperrimè Libri <lb/>ab Euangeli&longs;ta Torricellio, qui Galilei &longs;ucce&longs;&longs;or exi­<lb/>mius demon&longs;trauerit in eo i&longs;tud Po&longs;tulatum? </s> |
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| <s>Præ­<lb/>tereo autem, vt copiâ illius videndi &longs;tatim impetratâ, <lb/>deprehenderim rem confectam quinque propo&longs;itio­<lb/>nibus, ac Præmi&longs;&longs;o illo, <emph type="italics"/>Non po&longs;&longs;e duo<emph.end type="italics"/> G<emph type="italics"/>rauia &longs;imul <lb/>iuncta ex &longs;e moueri, ni&longs;i centrum commune grauitatis ip&longs;o­<lb/>rum de&longs;cendat.<emph.end type="italics"/></s><s> Videlicet prima Propo&longs;itio e&longs;t, <lb/>G<emph type="italics"/>rauia in planis inæqualiter inclinatis, ac eandem tamen <lb/>eleuationem habentibus, con&longs;tituta: &longs;i eandem inter &longs;e ratio­<lb/>nem homologè habeant, quam habent planorum longitudi­<lb/>nes, habere æqualia momenta.<emph.end type="italics"/></s><s> Secunda, <emph type="italics"/>Eadem grauia &longs;i <lb/>æqualia fuerint, habere momenta in ratione reciproca longi­<lb/>tud num eorumdem planorum.<emph.end type="italics"/></s><s> Tertia, <emph type="italics"/>Illa <expan abbr="æqualiũ">æqualium</expan> grauium <lb/>momenta e&longs;&longs;e in ratione homologa cum perpendiculis par­<lb/>tium æqualium eorumdem planorum.<emph.end type="italics"/></s><s> Quarta, <emph type="italics"/>Tempora <lb/>la<gap/>i<gap/>um ex quiete e&longs;&longs;e homologè vt longitudines eorum­<lb/>dem planorum.<emph.end type="italics"/></s><s> Quinta autem e&longs;t ip&longs;um Po&longs;tulatum <pb xlink:href="028/01/064.jpg" pagenum="24"/>ex &longs;uperioribus deductum, G<emph type="italics"/>radus velocitatis eiu&longs;dem <lb/>mobilis &longs;uper diuer&longs;as planorum inclinationes acqui&longs;itos tunc <lb/>e&longs;&longs;e æqualeis, cùm eorumdem planorum eleuationes &ecedil;quales <lb/>&longs;unt.<emph.end type="italics"/></s></p><p type="main"> | <s>Præ­<lb/>tereo autem, vt copiâ illius videndi &longs;tatim impetratâ, <lb/>deprehenderim rem confectam quinque propo&longs;itio­<lb/>nibus, ac Præmi&longs;&longs;o illo, <emph type="italics"/>Non po&longs;&longs;e duo<emph.end type="italics"/> G<emph type="italics"/>rauia &longs;imul <lb/>iuncta ex &longs;e moueri, ni&longs;i centrum commune grauitatis ip&longs;o­<lb/>rum de&longs;cendat.<emph.end type="italics"/></s><s> Videlicet prima Propo&longs;itio e&longs;t, <lb/>G<emph type="italics"/>rauia in planis inæqualiter inclinatis, ac eandem tamen <lb/>eleuationem habentibus, con&longs;tituta: &longs;i eandem inter &longs;e ratio­<lb/>nem homologè habeant, quam habent planorum longitudi­<lb/>nes, habere æqualia momenta.<emph.end type="italics"/></s><s> Secunda, <emph type="italics"/>Eadem grauia &longs;i <lb/>æqualia fuerint, habere momenta in ratione reciproca longi­<lb/>tud num eorumdem planorum.<emph.end type="italics"/></s><s> Tertia, <emph type="italics"/>Illa <expan abbr="æqualiũ">æqualium</expan> grauium <lb/>momenta e&longs;&longs;e in ratione homologa cum perpendiculis par­<lb/>tium æqualium eorumdem planorum.<emph.end type="italics"/></s><s> Quarta, <emph type="italics"/>Tempora <lb/>lationum ex quiete e&longs;&longs;e homologè vt longitudines eorum­<lb/>dem planorum.<emph.end type="italics"/></s><s> Quinta autem e&longs;t ip&longs;um Po&longs;tulatum <pb xlink:href="028/01/064.jpg" pagenum="24"/>ex &longs;uperioribus deductum, G<emph type="italics"/>radus velocitatis eiu&longs;dem <lb/>mobilis &longs;uper diuer&longs;as planorum inclinationes acqui&longs;itos tunc <lb/>e&longs;&longs;e æqualeis, cùm eorumdem planorum eleuationes &ecedil;quales <lb/>&longs;unt.<emph.end type="italics"/></s></p><p type="main"> |
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| <s>XV. Verùm, ne ad alia excurram, quàm quæ <lb/>ip&longs;emet ex Galileo commemoras, improbas ec<gap/>e ex­<lb/>perimentum, quo ille e&longs;t conatus h<gap/>em Po&longs;tulato <lb/>a&longs;&longs;erere, quodque ad&longs;cripta figura &longs;ic refers E <emph type="italics"/>clauo A<emph.end type="italics"/><lb/><figure id="id.028.01.064.1.jpg" xlink:href="028/01/064/1.jpg"/><lb/><emph type="italics"/>parieti infixo, globus plumbeus, aut alius quilibet tenui filo, <lb/>tribus, aut quatuor digitis à pariete remoto &longs;u&longs;pendatur, &longs;it­<lb/>que AB, De&longs;criptaque in pariete recta CD horizonti <lb/>parallela, globus B à perpendiculari eductus v&longs;que ad alti­<lb/>tudinem rectæ CD manu altollatur, nempe ad C; indeque <lb/>liberè dimittatur. </s> | <s>XV. Verùm, ne ad alia excurram, quàm quæ <lb/>ip&longs;emet ex Galileo commemoras, improbas ecce ex­<lb/>perimentum, quo ille e&longs;t conatus fidem Po&longs;tulato <lb/>a&longs;&longs;erere, quodque ad&longs;cripta figura &longs;ic refers E <emph type="italics"/>clauo A<emph.end type="italics"/><lb/><figure id="id.028.01.064.1.jpg" xlink:href="028/01/064/1.jpg"/><lb/><emph type="italics"/>parieti infixo, globus plumbeus, aut alius quilibet tenui filo, <lb/>tribus, aut quatuor digitis à pariete remoto &longs;u&longs;pendatur, &longs;it­<lb/>que AB, De&longs;criptaque in pariete recta CD horizonti <lb/>parallela, globus B à perpendiculari eductus v&longs;que ad alti­<lb/>tudinem rectæ CD manu altollatur, nempe ad C; indeque <lb/>liberè dimittatur. </s> |
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| <s>Tum globus idem in uit<emph.end type="italics"/> G<emph type="italics"/>alileus, non <lb/>&longs;olùm de&longs;cendet ad punctum B, &longs;ed eodem impetu vlteriùs <lb/>v&longs;que ad D, aut proximè ad illud, a&longs;cendet.<emph.end type="italics"/> S<emph type="italics"/>imiliter, &longs;i <lb/>globus idem è puncto E &longs;uspendatur, & item ad altitudinem<emph.end type="italics"/><pb xlink:href="028/01/065.jpg" pagenum="25"/><emph type="italics"/>eiu&longs;dem rectæ<emph.end type="italics"/> C<emph type="italics"/>D attollatur ad<emph.end type="italics"/> G, <emph type="italics"/>inde liberè dimi&longs;&longs;us, <lb/>pari modo ad eandem rectam CD, aut proximè ad eam <lb/>con&longs;cendet ver&longs;us H. Jmò, &longs;i ex F &longs;u&longs;pen&longs;us attollatur ad <lb/>I, inde feretur, v&longs;que ad K. <!-- KEEP S--></s> | <s>Tum globus idem in uit<emph.end type="italics"/> G<emph type="italics"/>alileus, non <lb/>&longs;olùm de&longs;cendet ad punctum B, &longs;ed eodem impetu vlteriùs <lb/>v&longs;que ad D, aut proximè ad illud, a&longs;cendet.<emph.end type="italics"/> S<emph type="italics"/>imiliter, &longs;i <lb/>globus idem è puncto E &longs;uspendatur, & item ad altitudinem<emph.end type="italics"/><pb xlink:href="028/01/065.jpg" pagenum="25"/><emph type="italics"/>eiu&longs;dem rectæ<emph.end type="italics"/> C<emph type="italics"/>D attollatur ad<emph.end type="italics"/> G, <emph type="italics"/>inde liberè dimi&longs;&longs;us, <lb/>pari modo ad eandem rectam CD, aut proximè ad eam <lb/>con&longs;cendet ver&longs;us H. Jmò, &longs;i ex F &longs;u&longs;pen&longs;us attollatur ad <lb/>I, inde feretur, v&longs;que ad K. <!-- KEEP S--></s> |
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| <s>Vbi <lb/>verò centrum &longs;eptem infra lineam horizontalem digitis a&longs;­<lb/>&longs;umptum est, vix ad quatuor à linea horizontali digitos <lb/>globus a&longs;cendit.<emph.end type="italics"/></s><s> Concludis idcircò his verbis, <emph type="italics"/>Qua <lb/>igitur fide<emph.end type="italics"/> G<emph type="italics"/>alileus tam a&longs;&longs;eueranter ait globum ita &longs;u&longs;pen­<lb/>&longs;um, ac per quo&longs;cumque arcus librarum, ad æqualem &longs;em­<lb/>per altitudinem a&longs;&longs;urgere? </s> | <s>Vbi <lb/>verò centrum &longs;eptem infra lineam horizontalem digitis a&longs;­<lb/>&longs;umptum est, vix ad quatuor à linea horizontali digitos <lb/>globus a&longs;cendit.<emph.end type="italics"/></s><s> Concludis idcircò his verbis, <emph type="italics"/>Qua <lb/>igitur fide<emph.end type="italics"/> G<emph type="italics"/>alileus tam a&longs;&longs;eueranter ait globum ita &longs;u&longs;pen­<lb/>&longs;um, ac per quo&longs;cumque arcus librarum, ad æqualem &longs;em­<lb/>per altitudinem a&longs;&longs;urgere? </s> |
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| <s>aut quomodo ex re adeò euiden­<lb/>ter fal&longs;a petere au&longs;us e&longs;t testim<gap/>nium veritatis?<emph.end type="italics"/></s></p><pb xlink:href="028/01/066.jpg" pagenum="26"/><p type="main"> | <s>aut quomodo ex re adeò euiden­<lb/>ter fal&longs;a petere au&longs;us e&longs;t testimonium veritatis?<emph.end type="italics"/></s></p><pb xlink:href="028/01/066.jpg" pagenum="26"/><p type="main"> |
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| <s>XVI. <!-- KEEP S--></s> | <s>XVI. <!-- KEEP S--></s> |
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| <s>Deinde, quód globus ad <lb/>horizontalem lineam propiùs ad H, remotiùs ad <lb/>Ka&longs;cendat, quàm ad ip&longs;um D; videri pote&longs;t cau&longs;&longs;a <lb/>per&longs;picua, neque infringere vim experimenti. </s> | <s>Deinde, quód globus ad <lb/>horizontalem lineam propiùs ad H, remotiùs ad <lb/>Ka&longs;cendat, quàm ad ip&longs;um D; videri pote&longs;t cau&longs;&longs;a <lb/>per&longs;picua, neque infringere vim experimenti. </s> |
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| <s>Nam <lb/>quod &longs;pectat quidem ad H, res ideò contin git, quòd <lb/>quoties clauus defigitur inter A, & horizontalem <lb/>lineam, breuitas tum fili, tum &longs;pati<gap/> aërei, per quod <lb/>arcus de&longs;cribitur, minùs præ&longs;tet impedimenti: vnde <lb/>& abfui&longs;&longs;et globus adhûc propiùs, &longs;i fui&longs;&longs;et clauus <lb/>infra E defixus, vti & longiùs, &longs;i &longs;upra ip&longs;um Quod <lb/>verò ad K, res minùs e&longs;t mira; quòd quoties clauus <lb/>defigitur infra horizontalem lineam, dimi&longs;&longs;us ex I <lb/>globus non per totum arcum IB decidat, &longs;ed per <lb/>inferiorem &longs;olùm eius partem, in quam perpendicu­<lb/>lariter cadit; vnde & minùs adhûc, minu&longs;que re&longs;i­<lb/>lii&longs;&longs;et, &longs;i defixi&longs;&longs;es clauum inferiùs, quou&longs;que globus <lb/>non potui&longs;&longs;et ad lineam attolli; veluti & magis, ma­<lb/>gi&longs;que, &longs;i &longs;uperiùs, quou&longs;que clauo defixo in linea, <pb xlink:href="028/01/067.jpg" pagenum="27"/>ip&longs;um re&longs;iliendo proximè attigi&longs;&longs;et. </s> | <s>Nam <lb/>quod &longs;pectat quidem ad H, res ideò contin git, quòd <lb/>quoties clauus defigitur inter A, & horizontalem <lb/>lineam, breuitas tum fili, tum &longs;patij aërei, per quod <lb/>arcus de&longs;cribitur, minùs præ&longs;tet impedimenti: vnde <lb/>& abfui&longs;&longs;et globus adhûc propiùs, &longs;i fui&longs;&longs;et clauus <lb/>infra E defixus, vti & longiùs, &longs;i &longs;upra ip&longs;um Quod <lb/>verò ad K, res minùs e&longs;t mira; quòd quoties clauus <lb/>defigitur infra horizontalem lineam, dimi&longs;&longs;us ex I <lb/>globus non per totum arcum IB decidat, &longs;ed per <lb/>inferiorem &longs;olùm eius partem, in quam perpendicu­<lb/>lariter cadit; vnde & minùs adhûc, minu&longs;que re&longs;i­<lb/>lii&longs;&longs;et, &longs;i defixi&longs;&longs;es clauum inferiùs, quou&longs;que globus <lb/>non potui&longs;&longs;et ad lineam attolli; veluti & magis, ma­<lb/>gi&longs;que, &longs;i &longs;uperiùs, quou&longs;que clauo defixo in linea, <pb xlink:href="028/01/067.jpg" pagenum="27"/>ip&longs;um re&longs;iliendo proximè attigi&longs;&longs;et. </s> |
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| <s>Ex quo effici­<lb/>tur, vt cùm res propriè attendenda non &longs;it, vbi cla­<lb/>uus infra lineam defigitur, quòd tunc libratio &longs;implex <lb/>non &longs;it, &longs;ed mi&longs;tio duorum motuum, quorum im­<lb/>petus &longs;e mutuò retundunt; &longs;it verò propriè atten­<lb/>tenda, cùm clauo &longs;upra lineam defixo, vibrationis <lb/>motus &longs;implex e&longs;t; ideò non &longs;it exi&longs;timandum illam <lb/>qualemcumque interuallorum inæqualitatem in­<lb/>terturbare negotium; ac poti&longs;&longs;imùm quidem, cùm <lb/>ip&longs;a ordinata &longs;int, ac eandem inter &longs;e, quàm fili, & <lb/>arcus prolixitates proportionem &longs;eruent. </s> | <s>Ex quo effici­<lb/>tur, vt cùm res propriè attendenda non &longs;it, vbi cla­<lb/>uus infra lineam defigitur, quòd tunc libratio &longs;implex <lb/>non &longs;it, &longs;ed mi&longs;tio duorum motuum, quorum im­<lb/>petus &longs;e mutuò retundunt; &longs;it verò propriè atten­<lb/>tenda, cùm clauo &longs;upra lineam defixo, vibrationis <lb/>motus &longs;implex e&longs;t; ideò non &longs;it exi&longs;timandum illam <lb/>qualemcumque interuallorum inæqualitatem in­<lb/>terturbare negotium; ac poti&longs;&longs;imùm quidem, cùm <lb/>ip&longs;a ordinata &longs;int, ac eandem inter &longs;e, quàm fili, & <lb/>arcus prolixitates proportionem &longs;eruent. </s> |
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| <s>Scilicet exinde intelligitur, tum pendulo­<lb/>rum vibrationes tantò &longs;egnius fieri, quantò earum <lb/>arcus planiores, &longs;iue inclinatiores &longs;unt; tum inclina­<lb/>tiones arcuum men&longs;uratas &longs;ecundum varias perpen­<lb/>diculi, &longs;eu fili longitudines, habere &longs;e perinde vt qua­<lb/>drata temporum, ac vibrationes habere &longs;e recipro<gap/><lb/>vt ip&longs;as radices; &longs;icque rem eximiè quadrare ad &longs;u­<lb/>periùs expo&longs;itam motus æquabilis rationem; tum <lb/>globum quartum non acquirere impetum ad eleua­<lb/>tionem nece&longs;&longs;arium, ni&longs;i tempore duplo tertij, tri­<lb/>plo &longs;ecundi, quadruplo primi; ac e&longs;&longs;e quidem im-<pb xlink:href="028/01/068.jpg" pagenum="28"/>petus omnium globorum inter &longs;e æqualeis; &longs;ed <expan abbr="quõ">quom</expan> <lb/>tempore impetus exprimitur à quarto &longs;emel, exprimi <lb/>à tert<gap/>o bis, à &longs;ecundo ter, à primo quater, &c. </s></p><p type="main"> | <s>Scilicet exinde intelligitur, tum pendulo­<lb/>rum vibrationes tantò &longs;egnius fieri, quantò earum <lb/>arcus planiores, &longs;iue inclinatiores &longs;unt; tum inclina­<lb/>tiones arcuum men&longs;uratas &longs;ecundum varias perpen­<lb/>diculi, &longs;eu fili longitudines, habere &longs;e perinde vt qua­<lb/>drata temporum, ac vibrationes habere &longs;e reciprocè <lb/>vt ip&longs;as radices; &longs;icque rem eximiè quadrare ad &longs;u­<lb/>periùs expo&longs;itam motus æquabilis rationem; tum <lb/>globum quartum non acquirere impetum ad eleua­<lb/>tionem nece&longs;&longs;arium, ni&longs;i tempore duplo tertij, tri­<lb/>plo &longs;ecundi, quadruplo primi; ac e&longs;&longs;e quidem im-<pb xlink:href="028/01/068.jpg" pagenum="28"/>petus omnium globorum inter &longs;e æqualeis; &longs;ed <expan abbr="quõ">quom</expan> <lb/>tempore impetus exprimitur à quarto &longs;emel, exprimi <lb/>à tert<gap/>o bis, à &longs;ecundo ter, à primo quater, &c. </s></p><p type="main"> |
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| <s>XVII. <!-- KEEP S--></s> | <s>XVII. <!-- KEEP S--></s> |
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| <s>Etenim notum quidem e&longs;t acquiri <lb/>minores velocitatis gradus in minus decliui, quod <lb/>&longs;it decliuiori æquale, at, &longs;i vt minùs decliue, ita etiam <lb/>prolixius &longs;it, notum quoque e&longs;t velocitatem in fine <lb/>illius quæ&longs;itam e&longs;&longs;e po&longs;&longs;e æqualem velocitati in fine <lb/>decliuioris acqui&longs;itæ, prolixitate nempe de&longs;cen&longs;us par­<lb/>uitatem incrementorum velocitatis compen&longs;ante. <lb/></s> | <s>Etenim notum quidem e&longs;t acquiri <lb/>minores velocitatis gradus in minus decliui, quod <lb/>&longs;it decliuiori æquale, at, &longs;i vt minùs decliue, ita etiam <lb/>prolixius &longs;it, notum quoque e&longs;t velocitatem in fine <lb/>illius quæ&longs;itam e&longs;&longs;e po&longs;&longs;e æqualem velocitati in fine <lb/>decliuioris acqui&longs;itæ, prolixitate nempe de&longs;cen&longs;us par­<lb/>uitatem incrementorum velocitatis compen&longs;ante. <lb/></s> |
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| <s>Interim autem æqualitas impetus in B acqui&longs;iti, &longs;iue <lb/>per arcum, &longs;iue per planum contingat globi delap&longs;io, <lb/>ex eo videtur con&longs;equi, quòd &longs;ilum &longs;upernè globum <pb xlink:href="028/01/069.jpg" pagenum="29"/>cohibens aliud nihil præ&longs;tare videatur, quam præ&longs;ta­<lb/>ret infernè, & &longs;ine filo arcus marmoreus, aut <gap/>igneus <lb/>perfectè po<gap/>itus, qui e&longs;&longs;et CB, &longs;i &longs;upra ip&longs;um dela­<lb/>beretur. </s> | <s>Interim autem æqualitas impetus in B acqui&longs;iti, &longs;iue <lb/>per arcum, &longs;iue per planum contingat globi delap&longs;io, <lb/>ex eo videtur con&longs;equi, quòd &longs;ilum &longs;upernè globum <pb xlink:href="028/01/069.jpg" pagenum="29"/>cohibens aliud nihil præ&longs;tare videatur, quam præ&longs;ta­<lb/>ret infernè, & &longs;ine filo arcus marmoreus, aut ligneus <lb/>perfectè politus, qui e&longs;&longs;et CB, &longs;i &longs;upra ip&longs;um dela­<lb/>beretur. </s> |
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| <s>Atque id quidem tantò magis, quantò idem <lb/>Galileus o&longs;tendit arcum CB, & planum CB eodem, <lb/>&longs;eu æquali tempore percurri; ac pari modo arcum, <lb/>& planum GB, & porrò arcum quemlibet non ma­<lb/>iorem quadrante cum plano vnà terminato. </s> | <s>Atque id quidem tantò magis, quantò idem <lb/>Galileus o&longs;tendit arcum CB, & planum CB eodem, <lb/>&longs;eu æquali tempore percurri; ac pari modo arcum, <lb/>& planum GB, & porrò arcum quemlibet non ma­<lb/>iorem quadrante cum plano vnà terminato. </s> |
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| <s>Quin­<lb/>etiam cùm o&longs;tenderit percurrere globum eodem, &longs;eu <lb/>æquali tempore quoduis planum inter quodlib<gap/>t cir­<lb/>cumferentiæ circuli punctum, & infimum punctum, <lb/>quale e&longs;t heic B, con&longs;titutum, vt putà &longs;emper exæ­<lb/>quato illi tempori, quo percurritur diameter circuli <lb/>eiu&longs;dem perpendicularis; elicitur quoque exinde, vbi <lb/>ea omnia plana fuerint in eandem reducta altitudi­<lb/>nem, diuer&longs;a quidem tempora fore, &longs;ed impetum <lb/>nihilominùs parem. </s> | <s>Quin­<lb/>etiam cùm o&longs;tenderit percurrere globum eodem, &longs;eu <lb/>æquali tempore quoduis planum inter quodlibit cir­<lb/>cumferentiæ circuli punctum, & infimum punctum, <lb/>quale e&longs;t heic B, con&longs;titutum, vt putà &longs;emper exæ­<lb/>quato illi tempori, quo percurritur diameter circuli <lb/>eiu&longs;dem perpendicularis; elicitur quoque exinde, vbi <lb/>ea omnia plana fuerint in eandem reducta altitudi­<lb/>nem, diuer&longs;a quidem tempora fore, &longs;ed impetum <lb/>nihilominùs parem. </s> |
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| <s>Atque eadem quidem o&longs;tendit <lb/>præ larus vir Ioannes Bapti&longs;ta Balianus Genuen&longs;is, <lb/>edito hac dere libello, qui eodem ip&longs;o anno, quo Ga­<lb/>lilei Liber prodijt, argumento &longs;umpto ab ip&longs;is pen­<lb/>dulorum vibrationibus: &longs;ed, vt præmonui, nihil e&longs;t <lb/>nece&longs;&longs;e maiorem Galilei Po&longs;tulato a&longs;&longs;erere fidem, <lb/>quàm ip&longs;e a&longs;&longs;ertam voluerit; dum eatenùs &longs;olùm <lb/>adhibendam petijt, quatenus deductæ ex eo conclu­<lb/>&longs;iones cum experientia con&longs;entirent. </s></p><p type="main"> | <s>Atque eadem quidem o&longs;tendit <lb/>præ larus vir Ioannes Bapti&longs;ta Balianus Genuen&longs;is, <lb/>edito hac dere libello, qui eodem ip&longs;o anno, quo Ga­<lb/>lilei Liber prodijt, argumento &longs;umpto ab ip&longs;is pen­<lb/>dulorum vibrationibus: &longs;ed, vt præmonui, nihil e&longs;t <lb/>nece&longs;&longs;e maiorem Galilei Po&longs;tulato a&longs;&longs;erere fidem, <lb/>quàm ip&longs;e a&longs;&longs;ertam voluerit; dum eatenùs &longs;olùm <lb/>adhibendam petijt, quatenus deductæ ex eo conclu­<lb/>&longs;iones cum experientia con&longs;entirent. </s></p><p type="main"> |
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| <s>XVIII. <!-- KEEP S--></s> | <s>XVIII. <!-- KEEP S--></s> |
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| <s>Id prætereo, quod &longs;ub<gap/>icis, ex a&longs;cen&longs;u <lb/>globi ad eandem altitudinem, non &longs;atis rectè colli­<lb/>gi impetus æqualitatem; quoniam id aduer&longs;<gap/>tur <lb/>recitandæ tuæ rationi, atque experientiæ: vti & dum <lb/>cau&longs;&longs;am petis ex eo, <emph type="italics"/>quòd, quò circulus minor e&longs;t, <gap/><emph.end type="italics"/><pb xlink:href="028/01/070.jpg" pagenum="30"/><emph type="italics"/>de&longs;cen&longs;us procliuior, faciliorque, & a&longs;cen&longs;us difficilior vi­<lb/>deatur:<emph.end type="italics"/> id repugnaret tum compen&longs;ationi, aduer&longs;us <lb/>quam nihil obiicis, inter breuitatem, & decliu<gap/>ta­<lb/>tem &longs;patij; tum familiari experientiæ de rebus deor­<lb/>sùm impactis, quæ impetu pari deicctæ tantò emer­<lb/>gunt altiùs, quantò incidentia e&longs;t magis perpendi­<lb/>cularis. </s> | <s>Id prætereo, quod &longs;ubiicis, ex a&longs;cen&longs;u <lb/>globi ad eandem altitudinem, non &longs;atis rectè colli­<lb/>gi impetus æqualitatem; quoniam id aduer&longs;aretur <lb/>recitandæ tuæ rationi, atque experientiæ: vti & dum <lb/>cau&longs;&longs;am petis ex eo, <emph type="italics"/>quòd, quò circulus minor e&longs;t, èo<emph.end type="italics"/><pb xlink:href="028/01/070.jpg" pagenum="30"/><emph type="italics"/>de&longs;cen&longs;us procliuior, faciliorque, & a&longs;cen&longs;us difficilior vi­<lb/>deatur:<emph.end type="italics"/> id repugnaret tum compen&longs;ationi, aduer&longs;us <lb/>quam nihil obiicis, inter breuitatem, & decliu<gap/>ta­<lb/>tem &longs;patij; tum familiari experientiæ de rebus deor­<lb/>sùm impactis, quæ impetu pari deicctæ tantò emer­<lb/>gunt altiùs, quantò incidentia e&longs;t magis perpendi­<lb/>cularis. </s> |
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| <s>Attingo ergo potiùs id, quod &longs;upere&longs;t, <lb/>dum id &longs;ugillas, quod Galileus &longs;e e&longs;&longs;e &longs;æpiùs exper­<lb/>tum ait, <emph type="italics"/>tum globum ferreum per aërem cadentem, tum <lb/>globum æneum per excauatum in longiore tigillo alueolum, <lb/>in quacumque tigilli &longs;upra horizontem eleuatione de&longs;cenden­<lb/>tem, perpetuò tantum præcisè temporis in de&longs;cen&longs;u per pri­<lb/>mum totius percurrendi spatij quadrantem, quantum in <lb/>trium reliquorum decur&longs;u in&longs;ump&longs;i&longs;&longs;e: ex quo &longs;ine dubio con­<lb/>&longs;equens e&longs;&longs;et, &longs;patia æqualibus temporibus decur&longs;a in ea <lb/>e&longs;&longs;e ratione, quæ reperitur inter numeros impareis ab vnita­<lb/>te procedenteis.<emph.end type="italics"/></s><s> Nimirùm, vt o&longs;tendas ea, quæ ex i&longs;tis <lb/>qua&longs;i principiis con&longs;equuntur, aut inferuntur, e&longs;&longs;e ip­<lb/>&longs;is certiora, aut cuidentiora non po&longs;&longs;e: <emph type="italics"/>Id,<emph.end type="italics"/> inquis, <emph type="italics"/>tot <lb/>erroribus obnoxium e&longs;t, & exploratu adcò difficile, vt nihil <lb/>inde certi concludi po&longs;&longs;e videatur.<emph.end type="italics"/></s><s> Enimverò, vtcum­<lb/>que experiundi modus difficilis &longs;it, obnoxiu&longs;que er­<lb/>roribus; non idcircò tamen experimentum conuin­<lb/>citur fal&longs;um. </s> | <s>Attingo ergo potiùs id, quod &longs;upere&longs;t, <lb/>dum id &longs;ugillas, quod Galileus &longs;e e&longs;&longs;e &longs;æpiùs exper­<lb/>tum ait, <emph type="italics"/>tum globum ferreum per aërem cadentem, tum <lb/>globum æneum per excauatum in longiore tigillo alueolum, <lb/>in quacumque tigilli &longs;upra horizontem eleuatione de&longs;cenden­<lb/>tem, perpetuò tantum præcisè temporis in de&longs;cen&longs;u per pri­<lb/>mum totius percurrendi spatij quadrantem, quantum in <lb/>trium reliquorum decur&longs;u in&longs;ump&longs;i&longs;&longs;e: ex quo &longs;ine dubio con­<lb/>&longs;equens e&longs;&longs;et, &longs;patia æqualibus temporibus decur&longs;a in ea <lb/>e&longs;&longs;e ratione, quæ reperitur inter numeros impareis ab vnita­<lb/>te procedenteis.<emph.end type="italics"/></s><s> Nimirùm, vt o&longs;tendas ea, quæ ex i&longs;tis <lb/>qua&longs;i principiis con&longs;equuntur, aut inferuntur, e&longs;&longs;e ip­<lb/>&longs;is certiora, aut cuidentiora non po&longs;&longs;e: <emph type="italics"/>Id,<emph.end type="italics"/> inquis, <emph type="italics"/>tot <lb/>erroribus obnoxium e&longs;t, & exploratu adcò difficile, vt nihil <lb/>inde certi concludi po&longs;&longs;e videatur.<emph.end type="italics"/></s><s> Enimverò, vtcum­<lb/>que experiundi modus difficilis &longs;it, obnoxiu&longs;que er­<lb/>roribus; non idcircò tamen experimentum conuin­<lb/>citur fal&longs;um. </s> |
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| <s>Impetus enim omnis, & <lb/>percußio ex velocitate est; imò impetus ip&longs;e velocitas est, <lb/>nulloque hæc abinuicem di&longs;crimine dirimuntur, vt meritò, pro­<lb/>inde, qua ratione accre&longs;cit velocitas, eadem impetus, & per­<lb/>cußio augeantur.<emph.end type="italics"/></s><s> Hactenus nihil e&longs;t, quod non probem. <lb/></s> | <s>Impetus enim omnis, & <lb/>percußio ex velocitate est; imò impetus ip&longs;e velocitas est, <lb/>nulloque hæc abinuicem di&longs;crimine dirimuntur, vt meritò, pro­<lb/>inde, qua ratione accre&longs;cit velocitas, eadem impetus, & per­<lb/>cußio augeantur.<emph.end type="italics"/></s><s> Hactenus nihil e&longs;t, quod non probem. <lb/></s> |
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| <s>Pro&longs;equeris autem: <emph type="italics"/>At facilè experientiâ con&longs;tat corpus <lb/>graue quodcumque ex qualibet altitudine per aërem cadens, <lb/>& percutiens, vt libet, perpetuò ex altitudine dupla duplo<emph.end type="italics"/><pb xlink:href="028/01/073.jpg" pagenum="33"/><emph type="italics"/>præcisè ampliùs, & ex tripla, quadrupláue di&longs;tantia, triplo, <lb/>quadruplóue fortiùs percutere: velocitas igitur quoque ex <lb/>altitudine dupla, duplò maior e&longs;t, & tripla, aut quadrupla, <lb/>&longs;i tripla, quadrupláue altitudo &longs;uerit: ac proinde velocitas, <lb/>spatiis æqualibus, non autem æqualibus temporibus, æqualia <lb/>momenta acquirit.<emph.end type="italics"/></s><s> Quæ&longs;o verò heic patere, religio&longs;i&longs;­<lb/>&longs;imè Vir, me meam te&longs;tari h<gap/> betudmem; neque enim <lb/>quod tu a&longs;&longs;umis, <emph type="italics"/>facilè experientiâ con&longs;tare,<emph.end type="italics"/> mihi vllà <lb/>prorsùs experientiâ con&longs;tat; neque tu vllam &longs;pecia­<lb/>lem affers, ex qua res, vt tibi, ita mihi con&longs;tet. </s> | <s>Pro&longs;equeris autem: <emph type="italics"/>At facilè experientiâ con&longs;tat corpus <lb/>graue quodcumque ex qualibet altitudine per aërem cadens, <lb/>& percutiens, vt libet, perpetuò ex altitudine dupla duplo<emph.end type="italics"/><pb xlink:href="028/01/073.jpg" pagenum="33"/><emph type="italics"/>præcisè ampliùs, & ex tripla, quadrupláue di&longs;tantia, triplo, <lb/>quadruplóue fortiùs percutere: velocitas igitur quoque ex <lb/>altitudine dupla, duplò maior e&longs;t, & tripla, aut quadrupla, <lb/>&longs;i tripla, quadrupláue altitudo &longs;uerit: ac proinde velocitas, <lb/>spatiis æqualibus, non autem æqualibus temporibus, æqualia <lb/>momenta acquirit.<emph.end type="italics"/></s><s> Quæ&longs;o verò heic patere, religio&longs;i&longs;­<lb/>&longs;imè Vir, me meam te&longs;tari hebetudinem; neque enim <lb/>quod tu a&longs;&longs;umis, <emph type="italics"/>facilè experientiâ con&longs;tare,<emph.end type="italics"/> mihi vllà <lb/>prorsùs experientiâ con&longs;tat; neque tu vllam &longs;pecia­<lb/>lem affers, ex qua res, vt tibi, ita mihi con&longs;tet. </s> |
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| <s>Ac <lb/>deducis quidem deinceps, qua&longs;i &longs;ecundam experien­<lb/>tiam, id, quod in Libra expertus es: &longs;ed interim circa <lb/>hanc primam, cæcutio planè, neque agno&longs;co, qui <lb/>rem facilè exploraris. </s> | <s>Ac <lb/>deducis quidem deinceps, qua&longs;i &longs;ecundam experien­<lb/>tiam, id, quod in Libra expertus es: &longs;ed interim circa <lb/>hanc primam, cæcutio planè, neque agno&longs;co, qui <lb/>rem facilè exploraris. </s> |
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| <s>Et explora&longs;&longs;e tamen quis hæ­<lb/>reat, quandò i&longs;thæc &longs;ubi<gap/>cis? <emph type="italics"/>Experientiam hanc Ga­<lb/>lileus, nullo (vt credibile e&longs;t) facto ip&longs;ius periculo, tanquam <lb/>fal&longs;am, atque impoßibilem, eodem paralogi&longs;mo re-<emph.end type="italics"/><lb/><figure id="id.028.01.073.1.jpg" xlink:href="028/01/073/1.jpg"/><lb/><emph type="italics"/>iecit, quo definitionem motus accelerati vulgò re­<lb/>ceptam, & ex eadem experientia &longs;ine dubio dedu­<lb/>ctam, conatus e&longs;t reuellere. </s> | <s>Et explora&longs;&longs;e tamen quis hæ­<lb/>reat, quandò i&longs;thæc &longs;ubiicis? <emph type="italics"/>Experientiam hanc Ga­<lb/>lileus, nullo (vt credibile e&longs;t) facto ip&longs;ius periculo, tanquam <lb/>fal&longs;am, atque impoßibilem, eodem paralogi&longs;mo re-<emph.end type="italics"/><lb/><figure id="id.028.01.073.1.jpg" xlink:href="028/01/073/1.jpg"/><lb/><emph type="italics"/>iecit, quo definitionem motus accelerati vulgò re­<lb/>ceptam, & ex eadem experientia &longs;ine dubio dedu­<lb/>ctam, conatus e&longs;t reuellere. </s> |
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| <s>Si ex altitudine dupla, <lb/>inquit, duplò maior percußio e&longs;t, vt puta ex A du­<lb/>pla eius, quæ ex B, erit & velocitas dupla. </s> | <s>Si ex altitudine dupla, <lb/>inquit, duplò maior percußio e&longs;t, vt puta ex A du­<lb/>pla eius, quæ ex B, erit & velocitas dupla. </s> |
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| <s>At <lb/>velocitas dupla e&longs;&longs;e non pote&longs;t, ni&longs;i graue, æquali, <lb/>imò eodem tempore, totum spatium AC, & di <lb/>midium eius AB percurrat, quod tamen e&longs;t impoßibile. <lb/></s> | <s>At <lb/>velocitas dupla e&longs;&longs;e non pote&longs;t, ni&longs;i graue, æquali, <lb/>imò eodem tempore, totum spatium AC, & di <lb/>midium eius AB percurrat, quod tamen e&longs;t impoßibile. <lb/></s> |
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| <s>Nec percußio igitur, nec velocitas dupla e&longs;t, ex altitudine <lb/>dupla Do<gap/>eo equidem virum non ignobilem, in re tam <lb/>obuta, & facili adeò turpiter delu&longs;um e&longs;&longs;e; mirorque item <lb/>vehementer tales, támque apertos eius errores, non modò à <lb/>nenune hactenus e&longs;&longs;e reprehen&longs;os, &longs;ed tanquam prima<emph.end type="italics"/><pb xlink:href="028/01/074.jpg" pagenum="34"/><emph type="italics"/>&longs;cientiæ principia, à viris etiam eruditis e&longs;&longs;e receptos.<emph.end type="italics"/><lb/>Quandò, inquam, hæc &longs;ubiicis, nemo profectò fa­<lb/>cilè hæreat, qum ip&longs;e, expertus, illa videris, quæ <lb/>neque Galileus, neque alij viderunt. </s></p><p type="main"> | <s>Nec percußio igitur, nec velocitas dupla e&longs;t, ex altitudine <lb/>dupla. </s><s> Doleo equidem virum non ignobilem, in re tam <lb/>obvia, & facili adeò turpiter delu&longs;um e&longs;&longs;e; mirorque item <lb/>vehementer tales, támque apertos eius errores, non modò à <lb/>nenune hactenus e&longs;&longs;e reprehen&longs;os, &longs;ed tanquam prima<emph.end type="italics"/><pb xlink:href="028/01/074.jpg" pagenum="34"/><emph type="italics"/>&longs;cientiæ principia, à viris etiam eruditis e&longs;&longs;e receptos.<emph.end type="italics"/><lb/>Quandò, inquam, hæc &longs;ubiicis, nemo profectò fa­<lb/>cilè hæreat, qum ip&longs;e, expertus, illa videris, quæ <lb/>neque Galileus, neque alij viderunt. </s></p><p type="main"> |
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| <s>XX. <!-- KEEP S--></s> | <s>XX. <!-- KEEP S--></s> |
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