Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
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Igitur ſi velocitas quælibet eſſet alterius dupla, neceſſariò
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ipſæ quóque velocitates perpetuò eſſent inter ſe, vt tempora,
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eſſetque, exempli gratiâ, velocitas duobus temporibus acquiſi
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ta velocitatis primo tempore acquiſitæ dupla.
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concludatur. </
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habenda eſſet legitima, vt dicam, ea, vt poſſit quadam
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tenus cum propoſitione cohærere, neceſſe eſt ita ſup
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pleatur. </
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Quoties velocitas quælibet
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duobus temporibus acqui
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ſita
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alterius
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primo tempore acquiſitæ
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est dupla; neceſſe
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eſt, vt eodem, aut æquali tempore
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(hoc eſt aggregato duo
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rum temporum)
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à velocitate dupla ſpatium decurratur du
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plum eius, quod percurritur
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(tempore nempe vno, ſeu pri
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mo)
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à velocitate ſubdupla.
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<
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tium non modo duplum, ſed & quadruplum primi: ſi
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velocitas quidem acquiſita æquabiliter fuerit (qualis
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illa eſt, qua de agimus) quatenus dum ſecundus veloci
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tatis gradus tempore ſecundo acquiritur, & per ipſum
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par ſpatium illi, quod decurſum fuit tempore primo,
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percurritur, percurruntur ſimùl duo alia per gradum
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velocitatis primo tempore acquiſitum, ac in vigore
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perſeuerantem, veluti iam antè declaratum eſt. </
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ecce Subſumis. </
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Si igitur primo tempore AD, spatium PM percurra
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tur à velocitate ſubdupla primo illo toto tempore acquiſita,
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eodem tempore ſimul percurretur ſpatium PN ſpatii PM
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duplum à velocitate dupla toto tempore AE acquiſita.
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