Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
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">Nego,
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videre me perinde, atque eadem ratione.
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<
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in mea quidem, & Galilei ſententia ſumendo has
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parteis DE, AD, SD pro partibus
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temporis, res eſt neceſſaria; at in tua,
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ſumendo eaſdem pro partibus ſpatij,
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oſtenſum iam eſt velocitatem per DE
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debere eſſe duplam velocitatis per AD.
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<
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id
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">Et oſtendetur paulò pòſt non probari
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duplam velocitatis per SD, niſi ipſum
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met petendo principium. </
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Eadem quoque ratione cogéris fateri ve
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locitatem tertio tempore
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EF
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acquiſitam ve
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locitatis primo tempore acquiſitæ triplam ſo
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lùm non eſſe, ſed triplo maiorem.
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<
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">Nempe hoc placet ex abundanti: vide ergo perpe
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tuum aduerſus nos paralogiſmum. </
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<
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">Nam vt hactenùs
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falsò ſuppoſuiſti velle nos totam velocitatem EH, quæ
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dupla eſt velocitatis DG, acquiſitam eſſe ſolo tempo
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re DE, quam acquiſitam tamen facimus toto tempore
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AE, cùm ratiocinatio noſtra conſtans ſit, vt AD, ad
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DG, ita AE ad EH; non autem vnquam, vt AD ad
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DG, ita DE ad EH: vt hactenus, inquam, id falsò
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ſuppoſuiſti; ſic falsò iam ſupponis velle nos totam ve
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locitatem FI, quæ tripla eſt eiuſdem velocitatis DG,
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acquiſitam eſſe ſolo tempore EF, quam acquiſitam ſta
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tuimus toto tempore AF: cùm conſtanter dicamus, vt
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AD, ad DG, ita AF ad FI; neque tu oſtendere poſ
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ſis dixiſſe vnquam nos, vt AD ad DG, ita EF ad FI. </
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Deſignata enim ex
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D
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verſus
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A
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tertia parte totius
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AD,
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quæ ſit
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DY,
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ſumptaque ipſi æquali
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DZ,
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erit totum tempus
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