Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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rursùs non vno minuto, ac triente, ſed ſecundis ſolùm
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proximè quinquaginta tribus; & rursùs proximè
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octodecim, & rursùs ſex, &c. </
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oſtendendum vſus fueris ea ratione, quòd neceſſe ſit,
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velocitatem in D duplam eſſe velocitatis in
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S,
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& veloci
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tatem in E duplam velocitatis in D, ſicuti
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AD
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ponitur du
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pla ipſius
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AS,
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& ſimiliter
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AE
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dupla eſt ipſius
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AD; ſe
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quitur exinde, vt tam tota DE, quàm tota SD per
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curratur non triente, ſed dimidio temporis, quo tota
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AD: cùm vbicumque eſt velocitatis duplum, vbi ſit
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dimidium temporis duntaxat, neque tu id infregeris,
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ſed incommodum ſolùm attuleris, quod cùm euertat
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conſequutionem de ſubdiuiſione primi temporis, ſup
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poſitionem quoque euertit de velocitate dupla in du
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plo ſpatii, tripla in triplo, &c. </
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catum. </
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">Nam & quod poſteà aſſumis tempus per
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SD, atque adeò DE eſſe breuius, quàm dimidium
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eius, quo tranſcurritur AD, id facis quidem rectè,
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verumtamen iure non tuo; quippe id facis ſolùm me
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tu eius incommodi, quod præſenſiti poſſe vrgeri de
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motus acceleratione vniformiter, continenterque in
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creſcente: cùm id alioquin & repugnet tuæ ſuppoſi
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tioni de velocitate dupla in duplo ſpatio, tripla in
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triplo, &c. </
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">& euertat demonſtrationem ipſam, ad
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quam iam recurris, cùm oſtenſum ais tempus, quo
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percurritur ſecunda pars, æquale eſſe tempori, quo
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tranſmittitur dimidium poſterius, ſeu inferius primæ:
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neque enim id fuit oſtenſum alio ratiocinio, quam
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quod ipſemet ſtatim pernegaſti. </
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