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

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        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/145.jpg" pagenum="131"/>
              tribuendum exiſtimem̨. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Guld.
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              Qúæ ſentis, approbo; immenſæ
                <lb/>
                <arrow.to.target n="note64"/>
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              ſiquidem illæ altitudines & abyſſi aquarum
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              rariſſimæ ſunt, quæ bolide nullâ explorari
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              poſſint. </s>
              <s>Idcircò libentiùs vniuersè altitu­
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              dinem ſolùm dodrantalem aquis tribuo, mil­
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              liari aſſumpto pro aſſe. </s>
              <s>Iam, ſi placet,
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              aquæ grauitatem ad calculos reuocemus, &
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              globi perimetrum accipiamus, quam olim
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              Merſennus, nobis non repugnantibus, con­
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              ſtituebat mill. Rom. ant. </s>
              <s>25941. Perime­
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              tro conſtitutâ, diametrum ſic inquiro ex ra­
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              tionibus Vietæ: Vt 31415.926536 ad
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              10000.000000, ita maximi circuli periphe­
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              ria mill. 25941 ad diametrum mill. 8257­
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              paſſ. </s>
              <s>276. Igitur ſi diameter in peripheriam
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              ducatur, producetur ſphærica ſuperficies
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              mill. quadrat. </s>
              <s>214.201996. paſſ. </s>
              <s>quad. </s>
              <s>
                <lb/>
              716000: Huius autem ſemiſsis mill. 107.
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              100998. paſſ. </s>
              <s>358000. erit ſuperficies a­
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              quæ. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note64"/>
                <emph type="italics"/>
              LXIV
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              Totius a­
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              quæ quanti­
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              tas, & gra­
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              uitas inqui­
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              ritur.
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              </s>
            </p>
            <p type="main">
              <s>Et vt breuitati ſeruiam, duco inuentam
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              aquæ ſuperficiem in altitudinem conſtitutam
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              mill.3/4: ne ſcilicet longioribus ambagibus in
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              quiram totius globi ſoliditatem. </s>
              <s>Deinde in­
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              ſtitutâ analogiâ,
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              vt cubus diametri inuentæ
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              ad cubum eiuſdem diametri mulctatæ dodran­
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              te milliaris, ita ſoliditas ſphæræ ex inuenta dia­
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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