Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000182">
                <pb xlink:href="023/01/020.jpg"/>
              in linea eb
                <expan abbr="punctũ">punctum</expan>
              g, ita ut fit ge æqualis ef. </s>
              <s id="s.000183">erit g por­
                <lb/>
              tionis abc centrum. </s>
              <s id="s.000184">nam ſi hæ portiones, quæ æquales
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              & ſimiles ſunt, inter ſe ſe aptentur, ita ut be cadat in de,
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              & punctum b in d cadet, & g in f: figuris autem æquali­
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              bus, & ſimilibus inter ſe aptatis, centra quoque grauitatis
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              ipſarum inter ſe aptata erunt, ex quinta petitione Archi­
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              medis in libro de centro grauitatis planorum. </s>
              <s id="s.000185">Quare cum
                <lb/>
              portionis adc centrum grauitatis ſit f: & portionis
                <lb/>
              abc centrum g: magnitudinis; quæ ex utriſque efficitur:
                <lb/>
              hoc eſt circuli uel ellipſis grauitatis centrum in medio li­
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              neæ fg, quod eſt e, conſiſtet, ex quarta propoſitione eiuſ­
                <lb/>
              dem libri Archimedis. </s>
              <s id="s.000186">ergo circuli, uel ellipſis centrum
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              grauitatis eſt idem, quod figuræ centrum. </s>
              <s id="s.000187">atque illud eſt,
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              quod demonſtrare oportebat.</s>
            </p>
            <p type="main">
              <s id="s.000188">Ex quibus ſequitur portionis circuli, uel ellip­
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              ſis, quæ dimidia maior ſit, centrum grauitatis in
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              diametro quoque ipſius conſiſtere.</s>
            </p>
            <figure id="id.023.01.020.1.jpg" xlink:href="023/01/020/1.jpg" number="13"/>
            <p type="main">
              <s id="s.000189">Sit enim maior portio abc, cu
                <emph type="italics"/>
              i
                <emph.end type="italics"/>
              us diameter bd, & com­
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              pleatur circulus, uel ellipſis, ut portio reliqua fit aec, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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