Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/233.jpg" pagenum="219"/>
              fiat vt 223 ad 426, ita data ſphæræ ſolidi­
                <lb/>
              tas 80325. 748768. 500000. ad 153447.
                <lb/>
              394508. 434977. cubum diametri maioris
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              verâ. </s>
              <s>Si igitur horum numerorum radix cu­
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              bica extrahatur, habebimus ſphæræ diame­
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              trum tùm minorem, tùm maiorem verâ. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note101"/>
                <emph type="italics"/>
              CI
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              Quantum̨
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              elenanda eſ
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              ſet tellus, vt
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              omnino ab
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              aqua ſeiun­
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              geretur.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Merſ.
                <emph.end type="italics"/>
              Hùc nos deueniſſe gaudeo, noņ
                <lb/>
              tantùm vt propoſitæ quæſtionis metam ali­
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              quam attingamus, ſed etiam vt methodum
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              obſeruem, qua cubicam radicem eruere ſo­
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              les; alijs enim alia eſt methodus, & nimis
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              attentum animum exigunt, dum ſeorſim in­
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              ſtituendæ ſunt multiplicationes, quæ ſub da­
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              tum numerum transferantur: & periculum̨
                <lb/>
              ſæpius ſubeſt, ne per imprudentiam alium̨
                <lb/>
              pro alio numerum ſupponas. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Vtrum ea, quæ mihi familiaris eſt
                <lb/>
              methodus, omnium facillima ſit, ignoro:
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              mihi tamen arridet magis, cum in poteſtate
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              meâ ſemper ſit operationem totam ex ordi­
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              ne recognoſcere. </s>
              <s>Cæterùm fieri non poteſt,
                <lb/>
              quin plures requirantur operationes, cum̨
                <lb/>
              præter cubum primi lateris oporteat inueni­
                <lb/>
              re ſolidum ex triplo quadrato primi lateris in
                <lb/>
              latus ſecundum, & ſolidum ex triplo laterę
                <lb/>
              primo in quadratum lateris ſecundi, & de­
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              mum ipſius lateris ſecundi cubum. </s>
              <s>Quarę
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              hic in ſchedula, quoniam ſic placet, dato­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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