Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/189.jpg" pagenum="10"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si conoides parabolicum, vel hyperbolicum
                <lb/>
              ſecetur plano vtcumque ad axim inclinato, ſectio
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              ellipſis erit: ſimilis autem ipſi alia quæcumque
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              ſectio conoidis eidem parallela: eruntque earum
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              omnes diametri, quæ eiuſdem ſunt rationis in eo­
                <lb/>
              dem plano per axem. </s>
            </p>
            <p type="main">
              <s>Manifeſta ſunt hæc ex ijs, quæ Federicus Commandinus
                <lb/>
              demonſtrauit de ſectionibus horum ſolidorum, in ſuis com­
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              mentariis in eundem Archimedis librum de ſphæroidibus,
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              & conoidibus: quemadmodum & ſphæroidis, & conoi­
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              dis vtriuſque ſectionem factam à plano ad axim erecto eſ­
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              ſe circulum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Super datam ellipſim, circa datam rectam line­
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              am ab eius centro eleuatam tanquam axem, coni,
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              & cylindri portionem inuenire. </s>
              <s>Datoque ſphæ­
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              roidi, & conoidi, vel conoidis, ſphæroidiſve por­
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              tioni circa datum axem ſphæroidis, vel cuiuslibet
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              dictarum portionum, cylindrus vel cylindri por­
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              tio circumſcripta eſſe poteſt: vel comprehendere
                <lb/>
              inter eadem plana parallela, ita vt eius baſis ſit ſi­
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              milis baſi, vel baſibus comprehenſæ portionis, vel
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              fruſti, ſi de conoidibus ſit ſermo: & diametri, quæ
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              eiuſdem ſunt rationis ſectæ à centro bifariam ſint
                <lb/>
              in eadem recta linea. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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