Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/170.jpg" pagenum="83"/>
              poſitorum ex binis ſectionibus nempe circulis, quorum al­
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              ter ad conum KBL pertinet, alter ad conoides MBN, in
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              eodem plano ſecante prædictorum inter ſe parallelorum
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              exiſtentibus, minorem eſſe proportionem incipienti ab eo,
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              quod eſt proximum vertici, primi ad ſecundum, quàm ſe­
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              cundi ad tertium, & ſecundi ad tertium, quàm tertij ad
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              quartum, & ſic ſemper deinceps vſque ad maximum & vl­
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              timum compoſitum ex circulis MN, KL: & eandem di­
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              ctas ſectiones compoſitas ex coni, & conoidis parabolici
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              ſectionibus inter ſe habere proportionem, quàm habent in­
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              ter ſe circuli ſectiones conoidis ABC, pro vt illis in
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              ijſdem planis ſecantibus, & æqualia axis BD ſegmenta
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              intercipientibus reſpondent: Igitur per trigeſimam ſecun­
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              dam huius, & ſequens eam Corollarium, conoides ABC,
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              & compoſitum ex conoide MBN, & cono BKL, com­
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              mune habebunt in axe BD centrum grauitatis. </s>
              <s>Sed H
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              erat huius compoſiti centrum grauitatis; Igitur conoidis
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              ABC centrum grauitatis erit idem H. </s>
              <s>Quod demon­
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              ſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIV M.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Eadem demonſtratione conſtat ſi prædicta tria
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              ſolida ita vt diximus diſpoſita ſecentur plano ba­
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              ſibus parallelo; ſruſtum conoidis hyperbolici, &
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              compoſitum ex fruſtis coni, & conoidis paraboli­
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              ci, commune habere in communi axe centrum
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              grauitatis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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