Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

Table of figures

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              <s id="s.001368">Nego,
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              videre me perinde, atque eadem ratione.
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              <s id="s.001369"> Nam
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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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                <figure id="id.028.01.216.1.jpg" xlink:href="028/01/216/1.jpg" number="44"/>
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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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              <s id="s.001370">Et oſtendetur paulò pòſt non probari
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              duplam velocitatis per SD, niſi ipſum­
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              met petendo principium. </s>
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              <s id="s.001371">
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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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              <s id="s.001372">Nempe hoc placet ex abundanti: vide ergo perpe­
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              tuum aduerſus nos paralogiſmum. </s>
              <s id="s.001373">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. </s>
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              <s id="s.001374">
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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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              </s>
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