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

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              <s id="s.000075">ART. XXXIX. XL. XLI. XLII.
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              <s id="s.000076">De Ratione continuò dupla, qua ſpatia de­
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              curri temporibus æqualibus R. P. contendit. </s>
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              Diuiſo eodem caſus ſpatio in quotcúmque æqualeis parteis, &
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              parte prima ſubdiuiſa in duo dimidia; aſſumit R. P. illud
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              ,
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              quo inferius
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              percurritur, pro tempore primo: ac vult
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              tempore æquali ſecundo percurri partem ſecundam, quæ est
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              nempe dupla illius dimidij: ac tertio parteis tertiam, & quar­
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              tam, quæ iunctim ſunt duplum ſecundæ: & quarto quintam,
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              ſextam, ſeptimam, octauam, quæ iunctim ſunt duplum tertiæ,
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              & quartæ; & quinto octo ſuccedenteis, ſexto ſequenteis ſex­
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              decim: atque ita porrò in ratione continuò dupla. </s>
              <s id="s.000078">At verò
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              heic quoque abs re præteritur primum primæ partis dimidium:
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              & maximè cùm requiratur, quæ accelerationis ſit ratio non
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              à medio vſque primæ partis, ſed ab eius vſque initio. </s>
              <s id="s.000079">Peruer­
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              tit etiam R. P. </s>
              <s id="s.000080">Arithmeticam progreßionem, qua ſuperiùs
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              ſtatuens velocitates eſſe, vt ſpatia, voluit vni parti integræ, non
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              eius dimidio competere vnum celeritatis gradum, duobus
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              duos, &c. </s>
              <s id="s.000081">Conficitur rurſus heic quoque, vt totum, & pars
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              eodem tempore percurrantur; vt non ampliùs, quàm triens, &
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              quadrans exæquentur toti; vt item ſolæ partes quinta, ſexta,
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              ſeptima, octaua; atque ita de reliquis. </s>
              <s id="s.000082">Comficitur quoque, vt
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              decurrantur ſpatia non modò in ratione dupla, ſed etiam in
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              tripla, quadrupla, &c. </s>
              <s id="s.000083">Denique & illud inde ſequitur,
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              quod iam ante obiectum est; vt primo nimirùm tempore per­
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              acto, effluere ſecundum æquale non poßit, quin decurſum fuerit
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              spatium infinitum.
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              A p. </s>
              <s id="s.000084">72. in 79. </s>
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