DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.55.1.0.0.0" type="main">
              <s id="id.2.1.55.1.1.1.0">
                <pb n="33" xlink:href="036/01/079.jpg"/>
                <figure id="id.036.01.079.1.jpg" place="text" xlink:href="036/01/079/1.jpg" number="69"/>
              </s>
            </p>
            <p id="id.2.1.55.2.0.0.0" type="main">
              <s id="id.2.1.55.2.1.1.0">Sit libra AB, cuius centrum C; ſintq; vt in primo caſu duo pon
                <lb/>
              dera EF ex punctis BG ſuſpenſa: ſitq; GH ad HB, vt pondus
                <lb/>
              F ad pondus E. </s>
              <s id="id.2.1.55.2.1.1.0.a">Dico pondera EF tàm in GB ponderare, quàm
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              ſi vtraq; ex diuiſionis puncto H ſuſpendantur. </s>
              <s id="id.2.1.55.2.1.2.0">Conſtruantur ea
                <lb/>
              dem, hoc eſt fiat AC ipſi CH æqualis, & ex puncto A duo ap­
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              pendantur pondera LM, ita vt pondus E ad pondus L, ſit vt
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              CA ad CG; vt autem CB ad CA, ita ſit pondus M ad pondus
                <lb/>
              F. </s>
              <s id="id.2.1.55.2.1.2.0.a">pondera LM ipſis EF in GB appenſis (vt ſupra dictum eſt)
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              æqueponderabunt. </s>
              <s id="id.2.1.55.2.1.3.0">Sint deinde puncta NO centra grauitatis pon
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              derum EF; connectanturq; GN BO; iungaturq; NO, quæ tan­
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              quam libra erit; quæ etiam efficiat lineas GN BO inter ſe ſe æqui­
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              diſtantes eſſe; à punctoq; H horizonti perpendicularis ducatur
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              HP, quæ NO ſecet in P, atq; ipſis GN BO ſit æquidiſtans.
                <lb/>
              </s>
              <s id="id.2.1.55.2.1.3.0.a">deniq; connectatur GO, quæ HP ſecet in R. </s>
              <s id="id.2.1.55.2.1.4.0">Quoniam igitur
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              HR eſt lateri BO trianguli GBO æquidiſtans; erit GH ad HB,
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              vt GR ad RO. </s>
              <s id="N124F8">ſimiliter quoniam RP eſt lateri GN trianguli
                <arrow.to.target n="note104"/>
                <lb/>
              OGN æquidiſtans; erit GR ad RO, vt NP ad PO. </s>
              <s id="N124FF">quare
                <lb/>
              vt GH ad HB, ita eſt NP ad PO. </s>
              <s id="N12503">vt autem GH ad HB, ita
                <arrow.to.target n="note105"/>
                <lb/>
              eſt pondus F ad pondus E; vt igitur NP ad PO, ita eſt pondus
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              F ad pondus E. </s>
              <s id="id.2.1.55.2.1.4.0.a">punctum ergo P centrum erit grauitatis magni­
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              tudinis ex vtriſq; EF ponderibus compoſitæ. </s>
              <s id="id.2.1.55.2.1.5.0">Intelligantur itaq;
                <arrow.to.target n="note106"/>
                <lb/>
              pondera EF ita eſſe à libra NO connexa, ac ſi vna tantùm eſſet
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              magnitudo ex vtriſq; EF compoſita, in punctiſq; BG appenſa. </s>
              <s id="id.2.1.55.2.1.6.0">ſi
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              igitur ponderum ſuſpenſiones BG ſoluantur, manebunt pondera
                <arrow.to.target n="note107"/>
                <lb/>
              EF ex HP ſuſpenſa; ſicuti in GB prius manebant. </s>
              <s id="id.2.1.55.2.1.7.0">pondera verò EF
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              in GB appenſa ipſis LM ponderibus æqueponderant, & pondera </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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