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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/127.jpg" pagenum="113"/>
              ſuperos miſſa, qua ſe à ſepulchro ad intimam
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              terram deſcendiſſe ſignificabat, illudque ſpa­
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              tium ſtadia 42000. complecti. </s>
              <s>Sint datæ al­
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              titudo eadem IG, ac diſtantia GF, & angu­
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              lus IGF obſeruetur. </s>
              <s>Ducatur ex I tangens
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                <arrow.to.target n="note56"/>
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              IH; quæ ſecet GF in H. </s>
              <s>Quæratur ergo iņ
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              triangulo GIH rectangulo, ex dato latere GI
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              & angulo G, latus GH, quod ex GF ablatum
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              relinquit HF, & quæratur latus IH. </s>
              <s>Deinde du­
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              ctâ rectâ IF, in triangulo IHF nota ſunt la­
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              tera IH & HF, angulus autem compræhen­
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              ſus IHF æqualis eſt duobus internis notis, ſci­
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              licet recto GIH, & IGH obſeruato: quarę
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              inueniri poteſt tum latus IF, tum angulus
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              HIF: cui æqualis eſt angulus IOF in alterno
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              ſegmento: huius autem duplus eſt angulus
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              ITF ad centrum. </s>
              <s>Fiat igitur vt ſinus ſemian­
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              guli inuenti ITF, hoc eſt ſinus anguli HIF,
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              ad Radium, ita ſemiſsis inuenti lateris IF
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              ad quæſitam ſemidiametrum TF. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note56"/>
                <emph type="italics"/>
              LVI. </s>
              <s>
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              Vndecimą
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              methodus
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              inueniendi
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              terræ ſemi­
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              diametrum:
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Compendioſiùs fortaſſe operabimur, ſi da­
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              tis IG & GF cum angulo G compræhenſo,
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                <arrow.to.target n="note57"/>
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              inueniatur baſis IF & angulus GIF, qui eſt
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              neceſſariò obtuſus. </s>
              <s>Fiat ergo vt ſinus exceſ­
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              sûs anguli GIF ſupra rectum ad Radium,
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              ita ſemiſsis inuentæ baſis IF ad quæſitam
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              terræ ſemidiametrum. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note57"/>
                <emph type="italics"/>
              LVII.
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              Id
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              breuiùs.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Verùm omiſſo tot linearum apparatu res </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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