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

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        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/077.jpg" pagenum="69"/>
              duo anguli ad baſim BD ſimul ſumpti ſunt
                <lb/>
              æquales recto CDA vnâ cum angulo obſer­
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              uato A. </s>
              <s>Cum verò triangulum CBD ſit
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              ſo­
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              ſceles, vnuſquiſque an­
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                <figure id="id.018.01.077.1.jpg" xlink:href="018/01/077/1.jpg" number="19"/>
                <lb/>
              gulorum ad baſim BD
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              eſt æqualis ſemirecto &
                <lb/>
              ſemiangulo obſeruato. </s>
              <s>
                <lb/>
              Deme ergo ſemiangu­
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              lum obſeruatum gr.44.
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              48. 16 1/2, ex angulo ſe­
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              mirecto, hoc eſt grad.
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              45, remanet gr. o. m. 11.
                <lb/>
              fec. </s>
              <s>43 1/2 quantitas angu­
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              li ADB: Hic autem angulus ADB ſemper
                <lb/>
              eſt ſemiſſis complementi anguli ad A obſer­
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              uati; angulo enim ADB facto ad punctum
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              contactûs eſt æqualis angulus in ſegmento
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              alterno, anguli verò ad peripheriam duplex
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              eſt angulus ad centrum C. </s>
              <s>In triangulo ita­
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              que ADB noti ſunt duo anguli ad A & ad D;
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              & latus BD notum eſt in partibus 682.
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              13152.quarum Radius 100000.00000; ideo­
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              que in ijſdem Radij partibus inuenitur AB
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              partium 232657. Iam fiat vt AB partium
                <lb/>
              232657 ad Radium 100000.00000, ita AB
                <lb/>
              ped. 480 ad aliud, & prodibit quantitas BC
                <lb/>
              terrenæ ſemidiametri ped. 20631229, hoc
                <lb/>
              eſt mill. 4126. paſſ. </s>
              <s>246. Quod verò ali­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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