Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="023/01/026.jpg"/>
            <p type="main">
              <s id="s.000249">SIT cylindrus, uel cylindri portio ac: & plano per a­
                <lb/>
              xem ducto ſecetur; cuius ſectio ſit parallelogrammum ab
                <lb/>
              cd: & bifariam diuiſis ad, bc parallelogrammi lateribus,
                <lb/>
              per diuiſionum puncta ef planum baſi æquidiſtans duca­
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              tur; quod faciet ſectionem, in cylindro quidem circulum
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              æqualem iis, qui ſunt in baſibus, ut demonſtrauit Serenus
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              in libro cylindricorum, propoſitione quinta: in cylindri
                <lb/>
              uero portione ellipſim æqualem, & ſimilem eis, quæ ſunt
                <lb/>
                <figure id="id.023.01.026.1.jpg" xlink:href="023/01/026/1.jpg" number="18"/>
                <lb/>
              in oppoſitis planis, quod nos
                <lb/>
              demonſtrauimus in commen
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              tariis in librum Archimedis
                <lb/>
              de conoidibus, & ſphæroidi­
                <lb/>
              bus. </s>
              <s id="s.000250">Dico centrum grauita­
                <lb/>
              tis cylindri, uel cylindri por­
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              tionis eſſe in plano ef. </s>
              <s id="s.000251">Si
                <expan abbr="enĩ">enim</expan>
                <lb/>
              fieri poteſt, fit centrum g: &
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              ducatur gh ipſi ad æquidi­
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              ſtans, uſque ad ef planum. </s>
              <lb/>
              <s id="s.000252">Itaque linea ae continenter
                <lb/>
              diuiſa bifariam, erit tandem
                <lb/>
              pars aliqua ipſius ke, minor
                <lb/>
              gh. </s>
              <s id="s.000253">Diuidantur ergo lineæ
                <lb/>
              ae, ed in partes æquales ipſi
                <lb/>
              ke: & per diuiſiones plana ba
                <lb/>
              ſibus æquidiſtantia
                <expan abbr="ducãtur">ducantur</expan>
              . </s>
              <lb/>
              <s id="s.000254">erunt iam ſectiones, figuræ æ­
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              quales, & ſimiles eis, quæ ſunt
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              in baſibus: atque erit cylindrus in cylindros diuiſus: & cy
                <lb/>
              lindri portio in portiones æquales, & ſimiles ipſi kf. </s>
              <s id="s.000255">reli­
                <lb/>
              qua ſimiliter, ut ſuperius in priſmate concludentur.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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