Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/065.jpg" pagenum="57"/>
              generali primi Archimedis de planis æquiponderantibus,
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              ſed illud idem propoſitum vna demonſtratione in planis,
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              altera præſenti in ſolidis demonſtrauerim. </s>
              <s>Reſpondeo:
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              quia Propoſitio quarta primi Archimedis, ex qua quinta
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              neceſſario pendet, habet, ſi quis attendat, aliquas difficul­
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              tates phyſicas, quæ mathematicis rationibus non facile
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              diſſoluantur: quæ cauſa igitur illum adduxit ad ſimile quid
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                <expan abbr="demonſtrandũ">demonſtrandum</expan>
              demonſtratione ad illas duas parabolas ap.
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              </s>
              <s>plicata in ſecundo ſuo libro planorum æquiponderantium,
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              quaſi qui quartæ, ac quintæ illi generali non ſatis acquie­
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              ſceret; eadem me compulit ad hoc propoſitum duabus de­
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              monſtrationibus generalibus, altera de planis, altera de ſo­
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              lidis grauibus ſecurius demonſtrandum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXVIII.
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              </s>
            </p>
            <p type="main">
              <s>Quarumlibet trium magnitudinum eiuſdem
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              generis centra grauitatis cum centro magnitudi­
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              nis ex ijs compoſitæ ſunt in eodem plano. </s>
            </p>
            <p type="main">
              <s>Sint quælibet tres ma­
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              gnitudines eiuſdem gene
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              ris A, B, C: quarum cen­
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              tra grauitatis A, B, C. </s>
              <s>Ex
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              ijs autem compoſitæ ſit
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              centrum grauitatis E. </s>
              <s>Di
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              co quatuor puncta A, B,
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              C, E, eſſe in eodem pla­
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              no. </s>
              <s>Iungantur enim re­
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              ctæ AB, BC, CA: & vt
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              eſt A, ad C, ita ſit CD,
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              ad DA, & BD, iungatur:
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                <expan abbr="punctũ">punctum</expan>
              igitur D, erit cen­
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                <figure id="id.043.01.065.1.jpg" xlink:href="043/01/065/1.jpg" number="41"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>