Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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        <body>
          <chap type="bk">
            <subchap1 type="preface">
              <subchap2 type="preface">
                <p type="main">
                  <s id="s.000831">
                    <pb xlink:href="064/01/113.jpg"/>
                  unde quo plures temporum portiones, spatia
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                  ad duplicatam rationem magis accedunt. </s>
                  <s id="s.000832">Ut
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                  autem datis temporibus, facile spatia peracta
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                  reperiant, qui parum in arithmeticis progres­
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                  sionibus versati sunt, duc numerum tempo­
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                  rum, si sit par, in medietatem, & adde medie­
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                  tatem, si impar, in portionem maiorem medie­
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                  tatis, & prodibit summa spatiorum in dato tem­
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                  pore peractorum. </s>
                  <s id="s.000833">Dentur 4 tempora, duc in
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                  2 producto 8 adde medietatem 2, sit 10 sum­
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                  ma spatiorum. </s>
                  <s id="s.000834">Dentur tempora 9, duc in 5,
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                  productum 45 est summa spatiorum. </s>
                  <s id="s.000835">Auge­
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                  tur
                    <arrow.to.target n="note46"/>
                  igitur, ni fallor, motus iuxta progressionem
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                  arithmeticam, non numerorum imparium ab
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                  unitate huc usque creditam, sed naturalem; at
                    <arrow.to.target n="note47"/>
                    <lb/>
                  nihilominus, cum fere ijdem effectus subse­
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                  quantur, ob insensibilem discrepantiam; mi­
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                  randum non est, creditum fuisse spatia esse in
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                  duplicata ratione temporum; quandoquidem
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                  etiam si verum precise fortasse non sit, est
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                  attamen adeo veritati proximum, ut verita­
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                  tem in adhibitis experimentis sensus percipe­
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                  re nequiverit, quamobrem excusandi sunt
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                  quicunque ita censuerunt. </s>
                  <s id="s.000836">Ego autem modo
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                  veritatem delitescentem detexisse spero, cau­
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                  sam nimirum a qua huiusmodi proportio ema­
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                  nat aperuisse, & insuper quales errores fue­
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                  rint in suppositionibus, & experimentis huc</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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