Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/219.jpg" pagenum="40"/>
              ita tertia cum ſexta ad quartam; videlicet, vt duo ſoli­
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              da, & quod ſit ex FH,
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              HG, EH, & quod
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              ex GK, KF, EK, vnà
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              cum duabus tertiis &
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              cubi ex EH, & cu­
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              bi ex EK, ad ſolidum
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              ex FE, EG, KH, ita
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              erit tota ſphæræ, vel
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              ſphæroidis portio AB
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              CD, ad cylindrum, vel
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              portionem cylindricam
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              NO. </s>
              <s>Quod demon­
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              ſtrandum erat. </s>
            </p>
            <figure id="id.043.01.219.1.jpg" xlink:href="043/01/219/1.jpg" number="161"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis trianguli comprehenſi ſectione para­
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              bola, ex duabus rectis lineis, quarum altera ſe­
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              ctionem tangat, altera in eam incidat diametro
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              ſectionis ex contactu æquidiſtans, centrum graui­
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              tatis eſt punctum illud, in quo recta linea ex con­
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              tactu diuidens incidentem ita vt pars, quæ ſectio­
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              nem attingit ſit ſeſquialtera reliquæ, ſic diui­
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              ditur, vt pars quæ eſt ad contactum ſit tripla
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              reliquæ. </s>
            </p>
            <p type="main">
              <s>Sit triangulum ABC comprehenſum ſectione parabo­
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              la ADB, & duabus rectis lineis, quarum altera AC tan­
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              gat ſectionem in puncto A, reliqua autem BC, in eam
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              incidens in puncto B, ſectionis diametro ex puncto A,
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              æquidiſtans intelligatur: & per centrum grauitatis trian-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>