Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/167.jpg" pagenum="80"/>
              cet ſeſquialtera; ex æquali erit vt IB, ad BD, itì conoi­
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              des MBN ad conum KBL: Sed vt IB, ad BD, ità
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              ponitur QH ad HG; vt igitur conoides MBN, ad co­
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              num KBL, ità eſt QH ad HG. </s>
              <s>Sed Q eſt centrum
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              grauitatis coni KBL, & G conoidis MBN; compoſi­
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              ti igitur ex conoi­
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              de MBN, & co­
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              no KBL
                <expan abbr="centrũ">centrum</expan>
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              grauitatis erit H.
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              </s>
              <s>Rurſus quoniam
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              tres rectæ lineæ B
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              D, BF, BQ, æ­
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              qualibus exceſſi­
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              bus inter ſe diffe­
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              runt, minor erit
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              proportio BQ, ad
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              BF, quàm BF,
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              ad BD, hoc eſt
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              rectanguli EBQ,
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              ad rectangulum
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              EBF, quàm re­
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              ctanguli EBF, ad
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              rectangulum EB
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              D. </s>
              <s>Sed quadrati
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              BQ, ad quadra­
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              tum BF, dupli­
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              cata eſt proportio
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              lateris BQ ad la­
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              tus BF: hoc eſt
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              rectanguli EBQ
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                <figure id="id.043.01.167.1.jpg" xlink:href="043/01/167/1.jpg" number="127"/>
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              ad rectangulum EBF: & quadrati BF, ad quadratum
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              BD duplicata eius, quæ eſt rectanguli EBF, ad rectan­
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              gulum EBD; compoſitis igitur primis cum ſecundis, mi­
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              nor erit proportio rectanguli BQE, ad rectangulum BFE, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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