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

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              <s id="s.001615">
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              Geometrica, & eius tamen comparatione eam
                <expan abbr="pro-greſſionẽ">pro­
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                greſſionem</expan>
              ſtabilire;
                <expan abbr="quã">quam</expan>
              ex fragmentis poſterioris dimi­
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              dij durationem quærere innumerabilium partium con­
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              ſequent
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                <expan abbr="ũ">um</expan>
              : quàm cogi ad
                <expan abbr="comminiſcendũ">comminiſcendum</expan>
              , quæ in ipſa te­
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              tam malè cohæreant, vt quod commentum ſemel pla­
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              cuerit, cohætere poſſe videatur. </s>
              <s id="s.001616">Tandem, quatenus
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              etiam iuxta progreſſionem in ratione dupla, quam ſo­
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              lam vis eſſe continuam, repugnes tibi neceſſe eſt, cùm
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              indefinite aiens
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              æqualibus temporibus spatia decurri ma­
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              iora ſemper, ac maiora in ratione dupla,
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              neceſſe ſit eandem
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              rationem euertas, quotieſcumque aſſumpſeris tempo­
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              ra aſſumptis maiora, & ipſa tamen inter ſe æqualia.
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              </s>
              <s id="s.001617">Quippe cùm in tuo, v. c. de caſu ex Luna exem­
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              plo aſſumpſeris primo tempore decurri pedes 100, ſe­
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              cundo 200, tertio 400, quarto 800, quinto 1600,
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              ſexto 3200, &c. </s>
              <s id="s.001618">conſtatſi deinceps duo tempora pri­
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              ma pro vno aſſumas, duo ſequentia pro alio, duo
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              item ſequentia pro alio: aut ſi tria quidem prima pro
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              vno, tria ſuccedentia pro alio, &c. </s>
              <s id="s.001619">conſtat, inquam,
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              fore omnia tempora inter ſe æqualia; & abfutura ta­
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              men, quæ interim decurrentur ſpatia, à ratione dupla:
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              cùm binis temporibus aſſumptis pro ſingulis, futura
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              ſint ſpatia in ratione quadrupla, vt putà primo tem­
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              pore 300, ſecundo 1200, tertio 4800: & aſſum­
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              ptis ternis, futura ſint in ratione octupla, vt puta pri­
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              mo tempore 700, ſecundo 5600, tertio 44800,
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              atque ita de cæteris. </s>
              <s id="s.001620">Dicerem heic de Incommodo,
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              in quod te recidiſſe conſequenter obieci,
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              de nunquam
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              abſoluendo tempore ſecundo,
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              aut
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              percurrendis ſaltem ſpatijs
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              infinitis,
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              ſi progreſſio ſpatiorum fieret temporibus ęqua-</s>
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