Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/085.jpg" pagenum="77"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXIX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis coni centrum grauitatis axim ita diui­
                <lb/>
              dit, vt ſegmentum ad verticem ſit reliqui triplum. </s>
            </p>
            <p type="main">
              <s>Sit conus ABC, cuius vertex B, axis autem BD, cu­
                <lb/>
              ius BE, ſit tripla ipſius ED. </s>
              <s>Dico punctum E, eſse co­
                <lb/>
              ni ABC, centrum grauitatis. </s>
              <s>Si enim cono ABC, pyramis
                <lb/>
              inſcribatur, cuius baſis inſcripta circulo AC, æquilatera ſit,
                <lb/>
              & æquiangula, eius centrum grauitatis erit idem quod &
                <lb/>
              figuræ centrum, ſed centrum
                <lb/>
              talis figuræ circulo inſcriptæ
                <lb/>
              idem eſt, quod centrum cir­
                <lb/>
              culi, vt colligitur ex demon­
                <lb/>
              ſtrationibus quarti Elemen­
                <lb/>
              torum; inſcriptæ igitur pyra
                <lb/>
              midis erit axis BD, & cen­
                <lb/>
              trum grauitatis E. talis au­
                <lb/>
              tem ea pyramis inſcribi po­
                <lb/>
              teſt, vt à cono deficiat mino­
                <lb/>
              ri ſpacio quantacumque ma
                <lb/>
              gnitudine propoſita; igitur
                <lb/>
              ABC, coni centrum graui­
                <lb/>
              tatis erit E. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <figure id="id.043.01.085.1.jpg" xlink:href="043/01/085/1.jpg" number="55"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti conici centrum grauitatis idem
                <lb/>
              eſt in axe centro grauitatis fruſti pyramidis baſim
                <lb/>
              habentis æquilateram, & æquiangul am in ſcriptæ
                <lb/>
              cono, ab ſciſſi eodem plano, quo coni fruſtum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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