Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/043.jpg" pagenum="35"/>
              tatis in puncto B, ſpacia N, R, æquiponderabunt à lon­
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              gitudinibus AC, CB; eritque vtriuſque plani N, R, ſi­
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              mul centrum grauitatis C. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIVM.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hinc manifeſtum eſt ſi cuiuslibet figuræ pla­
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              næ vtcumque ſectæ centra grauitatis partium
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              iungantur recta linea, talem lineam à centro gra­
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              uitatis totius prædicti plani ita ſecari, vt ſegmen­
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              ta ex contrario reſpondeant prædictis partibus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si totum quoduis planum, & pars aliqua non
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              habeant idem centrum grauitatis, & eorum cen­
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              tra iungantur recta linea; in ea producta ad par­
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              tes centri grauitatis totius, erit reliquæ partis cen
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              trum grauitatis. </s>
            </p>
            <p type="main">
              <s>Sit totum quoduis planum
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              ABC, cuius centrum graui­
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              tatis E, & pars illius AB, cuius
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              aliud centrum D, & iuncta
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              DE, producatur ad partes E,
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              in infinitum vſque in H. </s>
              <s>Dico
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              reliquæ partis BC, centrum
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              grauitatis, quod ſit G, eſse in
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              linea EH. </s>
              <s>Quoniam enim D,
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              G, ſunt centra grauitatis par­
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                <figure id="id.043.01.043.1.jpg" xlink:href="043/01/043/1.jpg" number="25"/>
                <lb/>
              tium AB, BC, cadet totius ABC, centrum grauitatis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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