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

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              <s id="s.000943">
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              citates inter ſe, vt emenſa ſpatia: at quoties velocitates
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              inter ſe ſunt, vt emenſa ſpatia, debent neceſſariò ea
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              ſpatia aut eodem, aut æquali tempore percurri. </s>
              <s id="s.000944">Si igi­
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              tur velocitas acquiſita per totam AC, eam rationem
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              habeat ad velocitatem acquiſitam per AB,
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                <figure id="id.028.01.151.1.jpg" xlink:href="028/01/151/1.jpg" number="29"/>
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              quam ſpatium AC, ad ſpatium AB, neceſſe eſt,
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              vt totum ſpatium AC eodem, aut æquali tem­
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              pore decurratur, quo ſpatium AB abſoluitur.
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              <s id="s.000945">Impoſſibile eſt autem, vt corpus deſcendens per
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              AC, eodem, aut æquali tempore percurrat to­
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              tam AC, quo percurrit partem eius AB, niſi mo­
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              tus fiat in inſtanti. </s>
              <s id="s.000946">Tam impoſſibile eſt igitur,
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              vt velocitates in deſcenſu grauium inter ſe ſint, vt
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              emenſa ſpatia, quàm impoſſibile eſt motum illum fie­
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              ri in inſtanti.
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              Hanc ego rationem Paralogiſmum dico, tu
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              contendis eſſe veram Demonſtrationem. </s>
              <s id="s.000947">Vitium ego tan­
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              quam intelligenti breuiùs fortè indicaui: at præoccupato cer­
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              tè aliunde animo, non ſufficienter illud detexi. </s>
              <s id="s.000948">Exactiùs igi­
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              tur (vt poſtulas) ſingulas huius Ratiocinationis propoſitiones
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              hoc loco perpendemus. </s>
              <s id="s.000949">Prima hęc eſt,
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              Si acceleratio motus
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              in deſcenſu grauium æqualibus ſpatiis æqualia ſumeret
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              velocitatis incrementa, eſſent velocitates inter ſe, vt
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              emenſa ſpatia.
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              Nunc age, quis huius propoſitionis ſenſus
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              eſſe videtur? </s>
              <s id="s.000950">Duplicem enim patitur, & quidem valdè di­
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              uerſum, quorum alter verus, alter falſus ſit; & niſi poſteriore
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              hoc ſenſu illam poſt
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              G
                <emph type="italics"/>
              alileum vſurpes, concludis omninò ni­
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              hil. </s>
              <s id="s.000951">Prior ſenſus iſte eſt, Si acceleratio motus in deſcenſu
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              grauium æqualibus spatiis æqualia ſumat velocitatis augmen­
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              ta; neceſſe eſt, vt hæc eadem augmenta quibuſlibet spatij
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              partibus acquiſita eandem inter ſerationem obſeruent, quàm
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              </s>
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