Valerio, Luca, De centro gravitatis solidorum, 1604

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/072.jpg" pagenum="64"/>
              in axe DN, erit centrum grauitatis. </s>
              <s>Eadem ratione in
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              quolibet reliquorum trium axium, pyramidis ABCD, ip­
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              ſius centrum grauitatis eſse oſtenderemus; communis igi­
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              tur ſectio quatuor axium pyramidis ABCD, quod eſt
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              ipſius centrum E, erit centrum grauitatis pyramidis AB
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              CD. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIVM.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hinc manifeſtum eſt centrum grauitatis pyra­
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              midis triangulam baſim habentis eſſe in eopun­
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              cto, in quo axis ſic diuiditur, vt pars quæ ad ver­
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              icem ſit reliquæ tripla. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXII.
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              </s>
            </p>
            <p type="main">
              <s>Ominis pyramidis baſim pluſquam trilate­
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              ram habentis centrum grauitatis axim ita diui­
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              dit, vt pars, quæ eſt ad verticem ſit tripla re­
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              liquæ. </s>
            </p>
            <p type="main">
              <s>Sit pyramis ABCDE, cui vertex E, baſis autem
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              quadrilatera ABCD, & eſto axis EF, ſegmentum EM,
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              reliqui MF, triplum. </s>
              <s>Dico punctum M, eſſe centrum
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              grauitatis pyramidis ABCDE. </s>
              <s>Ducta enim AC, ſit
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              trianguli ABC, centrum grauitatis H, ſicut & K, trian­
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              guli ACD: & iungantur KH, HE, EK: Factaque vt
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              EM, ad MF, ita EL ad LH, & EN ad N
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              , iun­
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              gatur LN. </s>
              <s>Quoniam igitur EF eſt axis pyramidis
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              ABCDE, erit baſis ABCD centrum grauitatis F. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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