Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000066">
                <pb pagenum="2" xlink:href="023/01/011.jpg"/>
              tur, centrum grauitatis eſt idem, quod circuli cen
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              trum.</s>
            </p>
            <p type="main">
              <s id="s.000067">Sit primo triangulum æquilaterum abc in circulo de­
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              ſcriptum: & diuiſa ac bifariam in d, ducatur bd. </s>
              <s id="s.000068">erit in li­
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              nea bd centrum grauitatis
                <expan abbr="triãguli">trianguli</expan>
              abc, ex tertia decima
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              primi libri Archimedis de centro grauitatis planorum. </s>
              <s id="s.000069">Et
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                <figure id="id.023.01.011.1.jpg" xlink:href="023/01/011/1.jpg" number="2"/>
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              quoniam linea ab eſt æqualis
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              lineæ bc; & ad ipſi dc;
                <expan abbr="eſtq́">eſtque</expan>
              ;
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              bd utrique communis: trian­
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              gulum abd æquale erit trian
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              gulo cbd: & anguli angulis æ­
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              quales, qui æqualibus lateri­
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                <arrow.to.target n="marg8"/>
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              bus ſubtenduntur. </s>
              <s id="s.000071">ergo angu
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              li ad d
                <expan abbr="utriq;">utrique</expan>
              recti ſunt. </s>
              <s id="s.000072">quòd
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              cum linea bd ſecet ae bifa­
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                <arrow.to.target n="marg9"/>
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              riam, & ad angulos rectos; in
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              ipſa bd eſt centrum circuli. </s>
              <s id="s.000073">
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              quare in eadem bd linea erit
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              centrum grauitatis trianguli, & circuli centrum. </s>
              <s id="s.000074">Similiter
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              diuiſa ab bifariam in e, & ducta ce, oſtendetur in ipſa
                <expan abbr="utrũ">utrum</expan>
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              que centrum contineri. </s>
              <s id="s.000075">ergo ea erunt in puncto, in quo li­
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              neæ bd, ce conueniunt. </s>
              <s id="s.000076">trianguli igitur abc centrum gra
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              uitatis eſt idem, quod circuli centrum.</s>
            </p>
            <p type="margin">
              <s id="s.000077">
                <margin.target id="marg7"/>
              8. primi.</s>
            </p>
            <p type="margin">
              <s id="s.000078">
                <margin.target id="marg8"/>
              13. primi.</s>
            </p>
            <p type="margin">
              <s id="s.000079">
                <margin.target id="marg9"/>
              corol. pri
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              mæ tertii</s>
            </p>
            <figure id="id.023.01.011.2.jpg" xlink:href="023/01/011/2.jpg" number="3"/>
            <p type="main">
              <s id="s.000080">Sit quadratum abcd in cir­
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              culo deſcriptum: & ducantur
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              ac, bd, quæ conueniant in e. </s>
              <s id="s.000081">er­
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              go punctum e eſt centrum gra
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              uitatis quadrati, ex decima eiuſ
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              dem libri Archimedis. </s>
              <s id="s.000082">Sed cum
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              omnes anguli ad abcd recti
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                <arrow.to.target n="marg10"/>
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              ſint; erit abc ſemicirculus:
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                <expan abbr="itemq́">itemque</expan>
              ; bcd: & propterea li­
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              neæ ac, bd diametri circuli: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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