Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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præcisè tempore, quo pars
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S
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D tranſcurreretur
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(tempore
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nimirùm non trium, non duorum cum triente, vt
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priùs, ſed minutorum præcisè duorum) id autem ſic
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probas.
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Cùm enim AD dupla ponatur ipſius A
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S,
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&
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ſimiliter AE dupla ſit ipſius AD, neceſſe eſt, vt velocitas
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in D dupla ſit velocitatis in
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S;
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& velocitas in E eodem
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modo dupla reperiatur velocitatis in D; imò, vt velocitas
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etiam quæcumque in quovis puncto inter D, & E conſtitu
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to deſignabilis perpetuò dupla ſit velocitatis alterius inter S,
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& D etiam aßignabilis, vt facilè quilibet per ſe intelligere
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poteſt. </
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">Sumpto enim puncto quocumque inter D, & E,
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ex empli gratiâ T, diuiſoque bifariam interuallo AT, ſectio
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neceſſario cadet inter D, &
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S,
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puta in V. </
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">Et quia erit
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AT dupla ipſius AV, erit etiam velocitas in T dupla ve
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locitatis in V, & ita in cæteris punctis, quæ deſignari poſſunt
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inter D, & E. </
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erit dupla velocitatis per totum spatium
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SD,
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ſicut interual
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lum DE duplum eſt interualli
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SD.
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Ambo igitur hæc in
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terualla nempe
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SD,
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& DE æquali tempore percurruntur.
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Quo loco admitto imprimis, vt nouum incommo
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dum, eandem partem DE, quæ probata eſt primùm
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percurri debere ex tuo principio minutis tribus, ac
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deinde minutis duobus cum triente, probari iam per
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curri debere minutis duobus. </
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">Quippe nihil eſt, quod
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magis prodat falſitatem principii, quàm tot repu
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gnantium, atque abſurdorum capitum deductio.
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<
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">Neque verò heic adhûc finis; quandò alia innumera
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pari ratione conſequentur. </
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">Nam ſi, v.c. </
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<
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">AS bifa
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riam ſecetur in P, conficietur eodem tuo ratiocinio,
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vt PS percurratur eodem tempore, quo SD, atque </
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