Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/148.jpg" pagenum="61"/>
              trum grauitatis erit N, reliqui autem eius dempta
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              ABC portione centrum grauitatis M commune fruſto
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              KLFH, vt colligitur ex demonſtratione antecedentis.
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              </s>
              <s>Quoniam igitur eſt vt exceſsus, quo tripla ipſius BD ſu­
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              perat tres BD, DG, P tanquam vnam, ad ipſius BD
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                <figure id="id.043.01.148.1.jpg" xlink:href="043/01/148/1.jpg" number="113"/>
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              triplam, hoc eſt vt NM ad MO, ita portio ABC ad
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              EF cylindrum, & diuidendo vt MN ad NO, ita por­
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              tio ABC ad reliquum cylindri EF; & N eſt cylindri
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              EF, & M prædicti reſidui centrum grauitatis; erit reli­
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              quæ portionis ABC centrum grauitatis O. </s>
              <s>Quod de­
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              monſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXV.
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            </p>
            <p type="main">
              <s>Omnis portionis ſphæræ abſciſſæ duobus pla­
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              nis parallelis, altero per centrum acto, centrum
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              grauitatis eſt in axe primum bifariam ſecto: dein­
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              de ſumpta ad minorem baſim quarta parte axis
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              portionis; in eo puncto, in quo dimidius axis mi­
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              norem baſim attingens ſic diuiditur, vt pars dua­
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              bus prædictis ſectionibus intercepta ſit ad eam, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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