Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000660">
                <pb xlink:href="023/01/070.jpg"/>
              per f planum baſibus æquidiſtans ducatur, ut ſit ſectio cir
                <lb/>
              culus, uel ellipſis circa diametrum fg. </s>
              <s id="s.000661">Dico ſectionem ab
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              ad ſectionem fg eandem proportionem habere, quam fg
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              ad ipſam cd. </s>
              <s id="s.000662">Simili enim ratione, qua ſupra, demonſtrabi­
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              tur quadratum ab ad quadratum fg ita eſſe, ut
                <expan abbr="quadratũ">quadratum</expan>
                <lb/>
                <arrow.to.target n="marg81"/>
                <lb/>
              fg ad cd quadratum. </s>
              <s id="s.000663">Sed circuli inter ſe eandem propor­
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              tionem habent, quam diametrorum quadrata. </s>
              <s id="s.000664">ellipſes au­
                <lb/>
              tem circa ab, fg, cd, quæ ſimiles ſunt, ut oſtendimus in
                <expan abbr="cõ-mentariis">com­
                  <lb/>
                mentariis</expan>
              in principium libri Archimedis de conoidibus,
                <lb/>
              & ſphæroidibus, eam
                <expan abbr="habẽt">habent</expan>
              proportionem, quam quadra
                <lb/>
              ta diametrorum, quæ eiuſdem rationis ſunt, ex corollario­
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                <figure id="id.023.01.070.1.jpg" xlink:href="023/01/070/1.jpg" number="62"/>
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              ſeptimæ propoſitionis eiuſdem li­
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              bri. </s>
              <s id="s.000665">ellipſes enim nunc appello ip­
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              ſa ſpacia ellipſibus contenta. </s>
              <s id="s.000666">ergo
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              circulus, uel ellipſis ab ad
                <expan abbr="circulũ">circulum</expan>
              ,
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              uel ellipſim fg eam proportionem
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              habet, quam circulus, uel ellipſis
                <lb/>
              fg ad circulum uel ellipſim cd. </s>
              <lb/>
              <s id="s.000667">quod quidem faciendum propo­
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              ſuimus.</s>
            </p>
            <p type="margin">
              <s id="s.000668">
                <margin.target id="marg81"/>
              2. duode
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              cimi</s>
            </p>
            <p type="head">
              <s id="s.000669">THEOREMA XX. PROPOSITIO XXV.</s>
            </p>
            <p type="main">
              <s id="s.000670">QVODLIBET fruſtum pyramidis, uel coni,
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              uel coni portionis ad pyramidem, uel conum, uel
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              coni portionem, cuius baſis eadem eſt, & æqualis
                <lb/>
              altitudo, eandem
                <expan abbr="proportionẽ">proportionem</expan>
              habet, quam utræ
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              que baſes, maior, & minor ſimul ſumptæ vnà
                <expan abbr="cũ">cum</expan>
                <lb/>
              ea, quæ inter ipſas ſit proportionalis, ad baſim ma
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              iorem.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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