Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/175.jpg" pagenum="88"/>
              ad O potentia, vt DB ad BF longitudine: ſed TD eſt
                <lb/>
              æqualis N; ergo & IF æqualis erit O: cum igitur &
                <lb/>
              P ipſius O, &
                <foreign lang="grc">δ</foreign>
              F ipſius FI ſit potentia ſeſquialtera, erit
                <lb/>
              F
                <foreign lang="grc">δ</foreign>
              æqualis ipſi
                <foreign lang="grc">Ρ</foreign>
              : ſed F<37> eſt æqualis ipſi
                <expan abbr="q;">que</expan>
              vt igitur eſt
                <lb/>
              Q ad P, hoc eſt DB ad BF, ita erit <37>F ad F
                <foreign lang="grc">δ</foreign>
              ; dupli­
                <lb/>
              cata igitur proportio erit quadrati ex F<37> ad quadratum ex
                <lb/>
              E
                <foreign lang="grc">δ</foreign>
              eius, quæ eſt DB ad BF: ſed vt quadratum ex F<37> ad
                <lb/>
                <figure id="id.043.01.175.1.jpg" xlink:href="043/01/175/1.jpg" number="131"/>
                <lb/>
              quadratum ex F
                <foreign lang="grc">δ</foreign>
              , ita eſt circulus circa <37>
                <foreign lang="grc">θ</foreign>
              ad circulum
                <lb/>
              circa
                <foreign lang="grc">δε</foreign>
              , hoc eſt conus <37>B
                <foreign lang="grc">θ</foreign>
              ad conum
                <foreign lang="grc">δ</foreign>
              B
                <foreign lang="grc">ε</foreign>
              ; coni igitur
                <lb/>
              <37>B
                <foreign lang="grc">θ</foreign>
              ad conum
                <foreign lang="grc">δ</foreign>
              B
                <foreign lang="grc">ε</foreign>
              , duplicata eſt proportio eius, quæ eſt
                <lb/>
              DB ad BF: ſed & conoidis TBX ad conoides IB
                <foreign lang="grc">γ</foreign>
              du­
                <lb/>
              plicata eſt proportio eius, quæ eſt DB ad BF, vt mon­
                <lb/>
              ſtrant alij; eadem igitur proportio eſt coni <37>B
                <foreign lang="grc">θ</foreign>
              ad co­
                <lb/>
              num
                <foreign lang="grc">δ</foreign>
              B
                <foreign lang="grc">ε</foreign>
              quæ conoidis TBX ad conoides IB
                <foreign lang="grc">γ</foreign>
              : ſed </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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