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="018/01/054.jpg" pagenum="46"/>
              dis Rom. antiqui, grauitas eſt exactè lib. 304
                <lb/>
              & ſphæræ ſunt in triplicatâ Ratione diame­
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              trorum, ſphæra ſtannea ſemidiametrum ha­
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              bens pedalem, ac proinde diametrum bipe­
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              dalem, eſt octuplo grauior illâ, atque adeò
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              lib, 2432. Atqui ſtannum ad argillam, eſt
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              vt 592 2d 135, igitur & eandem Rationem
                <lb/>
              habent æquales ſphæræ; ideoque ſi ſtannea
                <lb/>
              ſphæra ſemidiametrum pedalem habens nu­
                <lb/>
              merat in grauitate libras 2432, argillaceą
                <lb/>
              æqualis erit lib. (554 22/37). Hæc autem ad terræ
                <lb/>
              globum eſt vt vnitas ad quartum illum ter­
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              minum continuè proportionalem in Ratione
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              ſemidiametrorum. </s>
              <s>Multiplicetur igitur quar­
                <lb/>
                <arrow.to.target n="note25"/>
                <lb/>
              tus ille terminus 8791.700747.414127.
                <lb/>
              031000. per libras (554 22/37), & prodibit totius
                <lb/>
              terræ grauitas, ſi ex merâ argillâ conſtaret,
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              librarum 4.875829.711809.132072.
                <lb/>
              (327567 21/37). </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note25"/>
                <emph type="italics"/>
              XXV
                <lb/>
              Terreni glo
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              bi grauitas.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Immenſum places, Merſenne: lu­
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              culentiſsimè enim demonſtraſti quatuor illis
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              aut ſex ſupra centum orbiculis, de quibus
                <lb/>
              heri nobis ſermo erat, tellurem totam facil­
                <lb/>
              limè moueri poſſe, etiam ſi eius grauitati
                <lb/>
              quingenties millies millena librarum mil­
                <lb/>
              lia adiiceres. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Guld.
                <emph.end type="italics"/>
              </s>
              <s> Ita planè, ſi mera eſſet argilla: ſed
                <lb/>
              tot marmora ac lapides, ingentesque metal­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>