Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/080.jpg" pagenum="72"/>
              GH) erit eiuſdem fruſti ABCDEF, centrum grauitatis
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              O. </s>
              <s>Rurſus quoniam vt tres deinceps proportionales BC,
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              EF, X, ſimul ad BC, ita eſt fruſtum ABCDEF, ad py­
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              ramidem; ſi deſcribatur ABCH: ſed vt triangulum ABC,
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              ad ſimile triangulum EDF, hoc eſt vt BC, ad X, ita eſt
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              pyramis ABCH, ad pyramidem GDEF; erit ex æqua­
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              li, vt tres lineæ
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              BC, EF, X, ſi­
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              mul ad X, ita fru
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              ſtum ABCDEF,
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              ad pyramidem
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              GDEF: & con­
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              uertendo, vt X,
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              ad compoſitam
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              ex BC, EF, X,
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              hoc eſt vt VO,
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              ad OS, ita pyra
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              mis GDEF, ad
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              fruſtum ABC­
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              DEF; & diui­
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              dendo, vt pyra­
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                <figure id="id.043.01.080.1.jpg" xlink:href="043/01/080/1.jpg" number="51"/>
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              mis GDEF, ad reliquas tres pyramides fruſti, ita OV,
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              ad VS; ſed S, eſt centrum grauitatis pyramidis GDEF,
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              & O, trium reliquarum; fruſti igitur ABCDEF, cen­
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              trum grauitatis erit V. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti pyramidis baſim pluſquam trila­
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              teram habentis centrum grauitatis eſt punctum
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              illud, in quo axis ſic diuiditur, vt axis fruſti pyra­
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              midis triangulam baſim habentis diuiditur ab
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              ipſius centro grauitatis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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