Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/068.jpg" pagenum="60"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis octaedri idem eſt centrum grauitatis,
                <lb/>
              & figuræ. </s>
            </p>
            <p type="main">
              <s>Eſto octaedrum ABCDEF, cuius centrum G. </s>
              <s>Di­
                <lb/>
              co G, eſse centrum grauitatis octaedri ABCDEF.
                <lb/>
              </s>
              <s>Ductis enim axibus AC, BD, EF, communis eorum
                <lb/>
              ſectio erit centrum G, in quo axes bifariam ſecabuntur:
                <lb/>
              omnium autem angulorum, qui ad G, bini qui que ad
                <lb/>
              verticem ſunt æquales, qui æqualibus altera alteri rectis
                <lb/>
              continentur; ſimilia igi­
                <lb/>
              tur, & æqualia erunt trian
                <lb/>
              gula, nimirum EBG,
                <lb/>
              GDF, & ECG, ipſi
                <lb/>
              GFA, & BCG, ipſi
                <lb/>
              GDA: igitur & BCE,
                <lb/>
              ipſi ADF; pyramis igi­
                <lb/>
              tur EBCG, ſimilis, &
                <lb/>
              æqualis eſt pyramidi A
                <lb/>
              DFG, quarum latera ho
                <lb/>
              mologa ſunt indirectum
                <lb/>
              inter ſe conſtituta; dua­
                <lb/>
              rum igitur pyramidum
                <lb/>
                <figure id="id.043.01.068.1.jpg" xlink:href="043/01/068/1.jpg" number="44"/>
                <lb/>
              EBCG, ADFG, ſimul centrum grauitatis erit G.
                <lb/>
              </s>
              <s>Eadem ratione ſex reliquarum pyramidum binis quibuſ­
                <lb/>
              que oppoſitis ſimul ſumptis centrum grauitatis erit G.
                <lb/>
              </s>
              <s>Totius igitur octaedri ABCDEF, centrum grauitatis
                <lb/>
              erit G. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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