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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000628">
                <pb pagenum="58" xlink:href="028/01/098.jpg"/>
              autem iam rem te iudice experiar; ecce aſſumptâ, diui­
                <lb/>
              ſaque linea, quam ipſe vſurpas, AB, & ſup­
                <lb/>
                <figure id="id.028.01.098.1.jpg" xlink:href="028/01/098/1.jpg" number="19"/>
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              poſito tempore minutorum ſex, quo ſuppo­
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              nis AD primam partem percurri; Conſtat
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              omninò, ſi ſecunda æqualis pars DE per­
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              curratur velocitate dupla ad illam, qua per­
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              curritur AD, non inſumi plus temporis in
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              percurrenda parte ſecunda, quàm dimidium
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              eius, quod fuerit inſumptum in prima (cùm
                <lb/>
              hac ratione tempora velocitatum ſubmultipla
                <lb/>
              ſint) atque ita, ſi prima pars ſuperata fuerit mi­
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              nutis ſex, percurri ſecundam dimidio, ſeu mi­
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              nutis tribus. </s>
              <s id="s.000629">Eadem autem ratione ſi tertia
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              æqualis EF percurratur tripla, neceſſe eſt
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              percurratur temporis triente, ſeu minutis duo­
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              bus; ac eodem modo quarta FG quadrante,
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              ſeu ſeſquiminuto, & quinta GH quinta par­
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              te temporis, ſeu minuto vno cum ſecundis duodecim;
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              ac ſexta HB, ſextante, ſeu minuto vno, & ita deinceps.
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              </s>
              <s id="s.000630">Atque ego quidem hûc vſque nullum video paralo­
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              giſmum. </s>
              <s id="s.000631">Quamobrem reſtat, vt diſquiratur, quot­
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              nam æqualia ſpatia, parteſve ſpatii æquales tem­
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              poribus primum conſequentibus, ipſique æqualibus
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              percurrantur. </s>
              <s id="s.000632">Porrò cùm ad id pernoſcendum, ni­
                <lb/>
              hil oporteat aliud, quàm iungere ſimul varia hæc
                <lb/>
              fragmenta primi temporis, hoc eſt dimidium, trien­
                <lb/>
              tem, quadrantem, & porrò parteis quintam, ſextam,
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              ſeptimam, &c. </s>
              <s id="s.000633">deprehendimus in ipſo fine quarti
                <lb/>
              ſpatij, ex iunctis ſimul dimidio, triente & quadrante,
                <lb/>
              confectum eſſe ſecundum tempus, ſeu iteratò minuta </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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