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

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              <s id="s.000623">XXXI. </s>
              <s id="s.000624">Subdis conſequenter;
                <emph type="italics"/>
              Quod vt certiùs
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              fiat, primùm occurrendum est errori, qui facilè obrepere
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              potest, ſi quæ de cele itatis augmento in ſpatiis æqualibus
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              antè demonstrata ſunt, minùs accuratè perpendantur. </s>
              <s id="s.000625">Cùm
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              enim ex ſuperioribus iam euidenter conſtet, in naturali gra­
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              uium deſcenſu, ſemper ex dupla diſtantia, celeritatem ha­
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              beri duplam; & ex tripla distantia, triplam; atque ita
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              deinceps, eadem ratione celeritatem augeri: nihil procliuius
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              eſſe potest, quàm vt quis exiſtimet, accelerationem illam
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              fieri per ſubdiuiſionem primi cuiuſlibet temporis, in parteis
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              ſemper minores, pro multitudine, & ratione ſpatiorum æqua­
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              lium, quæ motu decurruntur; ita videlicet, vt pars ſecunda
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              spatij, abſoluatur dimidia parte temporis, quo prima pars
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              decurſa est; & tertia pars ſpatij, tertia parte eiuſdem primi
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              temporis percurratur, & ita de cæteris: maximè cùm in hac
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              etiam hypotheſi, ſpatia & velocitates in eadem eſſe ratione,
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              & quod conſequens eſt, ex impeta quoque decidentium corpo­
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              rum hac ratione inuariato, iidem omnes, quos experientia
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              docet effectus haberi, primo aſpectu videantur.
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              </s>
              <s id="s.000626"> Heic pro­
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              fectò rurſus mirari tuam ſagacitatem par eſt, qua­
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              tenus eam non fugit error qui ex poſitione à te aſ­
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              ſerta conſequitur; tametſi ipſe non conſequi ex iis,
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              quæ ſubiicis, contendas. </s>
              <s id="s.000627">Me quod attinet, is eſt
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              ipſemet, quem deduxi aliàs aduerſus Michaelem
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              Varronem, qui primus, quod ſciam, eandem poſitio­
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              nem ante annos plus minùs ſexaginta defendit; de­
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              clarando ex ea id incommodi inter cætera conſequi,
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              vt, quemadmodum antè inſinuaui, ſpatia acquiſita
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              in ſine æqualis cuiuſlibet temporis numeranda ſint,
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              vt difformiter, ſic in pluſquàm tripla ratione. </s>
              <s id="s.000628">Vt </s>
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