Valerio, Luca, De centro gravitatis solidorum, 1604

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/114.jpg" pagenum="27"/>
              rium ad cylindrum KH, cum vt LG ad GB, ita ſit he­
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              miſphærium DBE ad cylindrum DH. vt igitur prima
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              cum quinta ad ſecundam, ita tertia cum ſexta ad quartam;
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              videlicet, vt tota LN ad BF, ita portio ABC ad cylin­
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              drum KH. </s>
              <s>Quod erat demonſtrandum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis portio ſphæræ abſciſſa duobus planis
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              parallelis centrum intercipientibus ad cylin­
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              drum, eiuſdem altitudinis, cuius baſis æqualis eſt
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              circulo maximo, eam habet proportionem, quam
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              ad axim portionis habet exceſſus, quo axis portio­
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              nis ſuperat tertiam partem compoſitæ ex duabus
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              minoribus extremis, maioribus poſitis duobus
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              axis ſegmentis, quæ fiunt à centro ſphæræ in ra­
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              tionibus, ſemidiametri ſphæræ ad prædicta ſeg­
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              menta. </s>
            </p>
            <p type="main">
              <s>Sit portio AB
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              CD, ſphæræ, cu­
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              ius centrum G,
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              abſciſsa duobus
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              planis parallelis
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              centrum G inter­
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              cipientibus, quod
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              erit in axe portio­
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              nis, qui ſit HK.
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              </s>
              <s>Sectiones autem
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                <figure id="id.043.01.114.1.jpg" xlink:href="043/01/114/1.jpg" number="86"/>
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              factæ à prædictis planis ſint circuli, quorum diametri AD,
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              BC, qui circuli erunt baſes oppoſitæ portionis. </s>
              <s>Sectaque
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              per punctum G, portione ABCD plano ad axim erecto, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>