Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000696">
                <pb xlink:href="023/01/074.jpg"/>
              producantur. </s>
              <s id="s.000697">Quoniam igitur pyramis ſecatur planis baſi
                <lb/>
                <arrow.to.target n="marg83"/>
                <lb/>
              æquidiſtantibus, ſectiones ſimiles erunt: atque erunt qua­
                <lb/>
              drata, uel rectangula circa circulos, uel ellipſes deſcripta,
                <lb/>
              quemadmodum & in ipſa baſi. </s>
              <s id="s.000698">Sed cum circuli inter ſe
                <expan abbr="eã">eam</expan>
                <lb/>
                <arrow.to.target n="marg84"/>
                <lb/>
              proportionem habeant, quam diametrorum quadrata:
                <lb/>
                <expan abbr="itemq;">itemque</expan>
              ellipſes eam quam rectangula ex ipſarum diametris
                <lb/>
                <arrow.to.target n="marg85"/>
                <lb/>
              conſtantia: & ſit circulus, uel ellipſis circa diametrum ef
                <lb/>
                <figure id="id.023.01.074.1.jpg" xlink:href="023/01/074/1.jpg" number="67"/>
                <lb/>
              proportionalis inter circulos, uel ellipſes ab, cd; erit re­
                <lb/>
              ctangulum ef etiam inter rectangula ab, cd proportio­
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              nale: per rectangulum enim nunc breuitatis cauſa
                <expan abbr="etiã">etiam</expan>
              ip­
                <lb/>
              ſum quadratum intelligemus. </s>
              <s id="s.000699">quare ex iis, quæ proxime
                <lb/>
              dicta ſunt, pyramis baſim habens æqualem dictis rectangu
                <lb/>
              lis, & altitudinem eandem, quam fruſtum ad, ipſi fruſto à
                <lb/>
              pyramide abſciſſo æqualis probabitur. </s>
              <s id="s.000700">ut autem rectangu
                <lb/>
              lum cd ad
                <expan abbr="rectangulũ">rectangulum</expan>
              ef, ita circulus, uel ellipſis cd ad ef
                <lb/>
              circulum, uel ellipſim:
                <expan abbr="componendoq;">componendoque</expan>
              ut rectangula cd,
                <lb/>
              e f, ad ef rectangulum, ita circuli, uel ellipſes ed, ef, ad ef:
                <lb/>
              & ut rectangulum ef ad rectangulum ab, ita circulus, uel
                <lb/>
              ellipſis ef ad ab circulum, uel ellipſim. </s>
              <s id="s.000701">ergo ex æquali, &
                <lb/>
              componendo, ut
                <expan abbr="rectãgula">rectangula</expan>
              cd, ef, ab ad ipſum ab, ita </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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