Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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AC non iam spatij parteis æqualeis deſignare, ſed temporis.
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">Tunc ex tuis, & Galilei principijs facilè agnoſces velocita
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tem in E, hoc eſt in fine ſecundi temporis acquiſitam, veloci
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tatis in D acquiſitæ duplam eſſe, perpetuóque
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velocitates, & tempora in eadem eſſe ratione.
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G
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alilei
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armis ita aduerſum te inſurgo.
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">Et verò opperior. </
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Si velocitatis incrementa tempori bus æqua
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libus acquiſita eam inter ſe rationem obſerua
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rent, quam tempora, neceſſariò ipſæ quoque
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velocitates perpetuò eſſent inter ſe, vt tempora,
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eſſetque, exempli gratiâ, velocitas duobus temporibus æquali
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bus acquiſita velocitatis primo tempore acquiſitæ dupla.
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tio ſequitur. </
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At quoties velocitas quælibet alterius eſt dupla, neceſſe eſt,
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vt eodem, aut æquali tempore à velocitate dupla ſpatium
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decurratur duplum eius, quod percurritur à velocitate ſubdu
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pla.
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<
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">Concluſionem ſubtices; nam quod ſequitur eſt
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quaſi Subſumptum. </
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">Quæſo te verò, ecquam nam
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poſſes exinde deducere, conſtante Syllogiſmo ex ter
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minis quatuor; neque tertio termino, vt decuit in hy
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potheſi, vnà cum Propoſitionis aut antecedente, aut
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conſequente aſſumpto. </
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fuiſſe debere Aſſumptio. </
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At quoties velocitas quælibet est alterius dupla, velocita
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tis incrementa temporibus æqualibus acquiſita eam inter ſe
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rationem obſeruant, quam tempora.
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