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

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    <archimedes>
      <text>
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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/232.jpg" pagenum="218"/>
              translato perficeretur in certâ ab vniuerſi
                <lb/>
              centro diſtantiâ, inueſtigare oporteret, cuius
                <lb/>
              in ſphæræ ſuperficiem ſe data aquæ moles
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              diſponeret in vtroque motûs termino, vt in­
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              de colligeretur, quantum terræ ex aquis iņ
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              motu illo emerſiſſet. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Guld.
                <emph.end type="italics"/>
              </s>
              <s> Abſtineamus nunc, ſi placet, ab
                <lb/>
              hoc labore: quamuis datâ ſectione lunulari,
                <lb/>
              & inuentis dimidiæ ſectionis centro grauita­
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              tis, ac viâ rotationis, poſſemus ſoliditatem
                <lb/>
              Meniſcoidis ſphærici inuenire; ſatis nunc
                <lb/>
              nobis eſſe puto inquirere; quantam in alti­
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              tudinem ſuſtolli terram oporteret, vt nul­
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              lum amplius ſubſidium afferret aqua circum­
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              fuſa minuens terræ grauitatem. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Res eſt non adeò difficilis aut ope­
                <lb/>
                <arrow.to.target n="note101"/>
                <lb/>
              roſa. </s>
              <s>Inuenire ſcilicet oportet ſemidiame­
                <lb/>
                <gap/>
              rum ſphæræ, quam ſola aqua conſtitueret;
                <lb/>
              & huic addere ſemidiametrum terræ; hæc
                <lb/>
              enim eſſet ea centri terræ atque centri vni­
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              uerſi diſtantia, in qua nihil terræ intrà aquam
                <lb/>
              eſſet. </s>
              <s>Vt autem ſphæræ, quam aqua effi­
                <lb/>
              ceret, ſemidiametrum habeamus; cum data
                <lb/>
              ſit aquæ ſoliditas, quam ſuperius poſuimus,
                <lb/>
              fiat vt 11 ad 21, ita data ſphæræ aqueæ ſo­
                <lb/>
              liditas paſſ. </s>
              <s>cub. </s>
              <s>80325. 748768. 500000,
                <lb/>
              ad aliud, & prouenit 153349. 156739.
                <lb/>
              863636. cubus diametri minoris verâ. </s>
              <s>Item </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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