Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/062.jpg" pagenum="54"/>
            <p type="main">
              <s>Si parallelepipedum AB, cuius axis CD, ſectum in
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              duo parallelepipeda AE, EN, quare & axis CD, in
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              axes CL, LD, parallelepipedorum AE, EN. </s>
              <s>Et ſint
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              centra grauitatis; F, parallelepipedi EN, & G, paral­
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              lelepipedi AE, & H, parallelepipedi AB, in medio cu­
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              iuſque axis ex antecedenti. </s>
              <s>Dico eſse FH, ad HG,
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              vt parallelepipedum AE, ad EN, parallelepipedum.
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              </s>
              <s>Iungantur enim diametri baſium oppoſitarum, quæ per
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              puncta axium D, L, G, tranſibunt, ADM, KLE,
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              NCB; iamque parallelogramma
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              erunt AB, AE, EN, DB, DE,
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              EC, propter eas, quæ parallelas
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              iungunt, & æquales: quorum bi­
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              na latera oppoſita ſecta erunt bi­
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              fariam in punctis C, L, D, per
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              definitionem axis: punctum igitur
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              F, in medio rectæ CL, oppoſi­
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              torum laterum bipartitorum ſectio­
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              nes coniungentis, erit parallelo­
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              grammi EN, centrum grauitatis.
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              </s>
              <s>Eadem ratione & parallelogram­
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                <figure id="id.043.01.062.1.jpg" xlink:href="043/01/062/1.jpg" number="38"/>
                <lb/>
              mi AE, centrum grauitatis erit G, & H, parallelogram
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              mi AB. </s>
              <s>Vt igitur parallelogrammum AE, ad paralle­
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              logrammum EN, hoc eſt, vt baſis ME, ad baſim EB;
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              hoc eſt, vt parallelogrammum MO, ad parallelogram­
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              mum OB: hoc eſt, vt parallelepipedum AE, ad paral­
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              lelepipedum EN: ita erit FH, ad HG. </s>
              <s>Quod de­
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              monſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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