Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/087.jpg" pagenum="79"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XLI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis cylindri centrum grauitatis axim bifa­
                <lb/>
              riam diuidit. </s>
            </p>
            <p type="main">
              <s>Sit cylindrus ABCD, cuius axis EF, & ſit ſectus bi­
                <lb/>
              fariam in puncto G. </s>
              <s>Dico punctum G, eſse centrum
                <lb/>
              grauitatis cylindri ABCD. </s>
              <s>Nam ſi cylindro AD, in­
                <lb/>
              ſcriptum intelligatur priſma,
                <lb/>
              cuius baſes oppoſitæ æquilate­
                <lb/>
              ræ ſint, & æquiangulæ; erunt,
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              qua ratione ſupra diximus, ea­
                <lb/>
              rum centra figuræ, & grauitatis
                <lb/>
              E, F; axis igitur inſcripti priſ­
                <lb/>
              matis erit EF: & centrum gra
                <lb/>
              uitatis G. poteſt autem tale
                <lb/>
              priſma ſic inſcribi cylindro
                <lb/>
              ABCD, vt ab illo deficiat
                <lb/>
              minori ſpacio quantacumque
                <lb/>
              magnitudine propoſita; cylin­
                <lb/>
              dri igitur ABCD, centrum
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              grauitatis erit G. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <figure id="id.043.01.087.1.jpg" xlink:href="043/01/087/1.jpg" number="57"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XLII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sphæræ, & ſphæroidis idem eſt centrum gra­
                <lb/>
              uitatis, & figuræ. </s>
            </p>
            <p type="main">
              <s>Sit ſphæra, vel ſphæroides ABCD, cuius centrum E, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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