Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000811">
                <pb xlink:href="023/01/084.jpg"/>
                <figure id="id.023.01.084.1.jpg" xlink:href="023/01/084/1.jpg" number="72"/>
                <lb/>
              At cum ef ſit ſexta pars axis
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              ſphæræ, erit d tripla ef. </s>
              <s id="s.000812">ergo
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              punctum e eſt grauitatis cen­
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              trum ipſius pyramidis: quod
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              in uigeſima ſecunda huius de­
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              monſtratum ſuit. </s>
              <s id="s.000813">Sed e eſt cen
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              trum ſphæræ. </s>
              <s id="s.000814">Sequitur igitur,
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              ut centrum grauitatis pyrami­
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              dis in ſphæra deſcriptæ idem
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              ſit, quod ipſius ſphæræ cen­
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              trum.</s>
            </p>
            <p type="main">
              <s id="s.000815">Sit cubus in ſphæra deſcriptus ab, & oppoſitorum pla­
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              norum lateribus bifariam diuiſis, per puncta diuiſionum
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              plana ducantur, ut communis ipſorum ſectio ſit recta li­
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              nea cd. </s>
              <s id="s.000816">Itaque ſi ducatur ab, ſolidi ſcilicet diameter, lineæ
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              ab, cd ex trigeſimanona undecimi ſeſe bifariam ſecabunt. </s>
              <lb/>
              <s id="s.000817">
                <figure id="id.023.01.084.2.jpg" xlink:href="023/01/084/2.jpg" number="73"/>
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              ſecent autem in puncto e. </s>
              <s id="s.000818">erit,
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              e
                <expan abbr="centrũ">centrum</expan>
              grauitatis ſolidi ab,
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              id quod demonſtratum eſt in
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              octaua huius. </s>
              <s id="s.000819">Sed quoniam ab
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              eſt ſphæræ diametro æqualis,
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              ut in decima quinta propoſi­
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              tione tertii decimi libri
                <expan abbr="elemẽ">elemen</expan>
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              torum oſtenditur: punctum e
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              ſphæræ quoque centrum erit. </s>
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              <s id="s.000820">Cubi igitur in ſphæra deſcri­
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              pti grauitatis centrum idem
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              eſt, quod centrum ipſius ſphæræ.</s>
            </p>
            <p type="main">
              <s id="s.000821">Sit octahedrum abcdef, in ſphæra deſcriptum, cuius
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              ſphæræ centrum ſit g. </s>
              <s id="s.000822">Dico punctum g ipſius octahedri
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              grauitatis centrum eſſe. </s>
              <s id="s.000823">Conſtat enim ex iis, quæ demon­
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              ſtrata ſunt à Campano in quinto decimo libro elemento­
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              rum, propoſitione ſextadecima eiuſmodi ſolidum diuidi
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              in duas pyramides æquales, & ſimiles; uidelicet in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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