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="018/01/189.jpg" pagenum="175"/>
              eſt——(1/12), quæ per numerum partium̨
                <lb/>
              100000 ducta dat totam vini leuitatem——
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              8333 1/3. Si igitur inuentæ ſingularum par­
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              tium grauitates ſeu leuitates in ſummam re­
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              digantur, erit ſumma——8756 2/3 defectiuą
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              indicans totius dolii leuitatem in aquâ, ſeu
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              differentiam, qua aquæ grauitas excedit dolii
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              grauitatem in aëre. </s>
              <s>Nam ſi aquæ grauitas
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              5 1/3 ducatur per 3 fit 16, ducta per 400 dat
                <lb/>
              2133 1/3, ducta per 100000 dat 533333 1/3; quæ
                <lb/>
              in ſummam redactæ dant totam aquæ graui­
                <lb/>
              tatem 535482 2/3, à qua deficit dolii grauitas
                <lb/>
              particulis 8756 2/3. Id quod conſtabit, ſi par­
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              tium dolii grauitatem in aëre examinemus;
                <lb/>
              ligni enim partes 400 per ſpecificam graui­
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              tatem 4 ductæ dant abſolutam ligni grauita­
                <lb/>
              tem 1600; iterum partes 100000 vini per gra­
                <lb/>
              uitatem ſpecificam 5 1/4 ductæ dant abſolutam
                <lb/>
              vini grauitatem 525000: demum partes 3
                <lb/>
              ferri per 42 ductæ dant totam grauitatem
                <lb/>
              ferri 126: quæ ſi in ſummam redigantur, erit
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              tota dolii grauitas in aere 526726. Hæc au­
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              tem grauitas ſubducta ex grauitate aquæ æ­
                <lb/>
              qualis relinquit e
                <expan abbr="ãdem">andem</expan>
                <expan abbr="differentiã——8756">differentia ——8756</expan>
              2/3</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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