Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
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        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/078.jpg" pagenum="70"/>
              ſegmentum eius maiori baſi propinquius ſit ad to­
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              tum prædictum interiectum ſegmentum, vt tertia
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              proportionalis minor ad duo latera homologa ba­
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              ſium oppoſitarum, ad compoſitam ex his tribus
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              deinceps proportionalibus. </s>
            </p>
            <p type="main">
              <s>Sit pyramidis fruſtum, cuius baſes oppoſitæ, & parallelæ,
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              maior triangulum ABC, minor autem triangulum DEF,
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              axis autem GH. triangulorum autem ABC, DEF, quæ
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              inter ſe ſimilia eſse neceſse eſt, ſint duo latera homologa
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              BC, EF: & vt eſt BC, ad EF, ita ſit EF, ad X: vt autem eſt
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              duplum lateris BC, vna cum latere EF, ad duplum lateris
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              EF, vna cum la
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              tere BC, ita ſit
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              HN, ad NG,
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              & NO, pars quar
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              ta ipſius NG, &
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              HS, pars quar­
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              ta ipſius GH; ip
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              ſius autem SO,
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              ſit VO, ad OS,
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              vt eſt X, ad com­
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              poſitam ex tri­
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              bus BC, EF, X.
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              </s>
              <s>Dico punctum V
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              (quod cadet ne­
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              ceſsario infra
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                <figure id="id.043.01.078.1.jpg" xlink:href="043/01/078/1.jpg" number="50"/>
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              punctum N, quanquam hoc ad demonſtrationem nihil re­
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              fert) eſse centrum grauitatis fruſti ABCDEF. </s>
              <s>Ducta
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              enim recta AGL; quoniam GH, eſt axis fruſti ABCD
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              EF, & punctum G, centrum grauitatis trianguli ABC,
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              erit punctum L, in medio baſis BC: ſecto igitur etiam la­
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              tere EF, bifariam in puncto K, iungantur LK,
                <emph type="italics"/>
              K
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              H: & vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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