Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/193.jpg" pagenum="14"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIVM.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hinc manifeſtum eſt eadem demonſtratione,
                <lb/>
              qua vtimur ad propoſitionem XXXVI. primili­
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              bri; fruſtum cuiuslibet pyramidis baſim habentis
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              pluribus quàm tribus lateribus contentam, ad priſ
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              ma, ſeu pyramidem, cuius baſis eſt eadem quæ ma­
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              ior baſis fruſti, & eadem altitudo: & reliquum ip­
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              ſius priſmatis dempto fruſto, ad ipſum priſma, eas
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              habere rationes, quæ à baſium fruſti oppoſitarum
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              homologis lateribus eorumque differentia deri­
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              uantur eo modo, quo in præcedenti theoremate
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              dicebamus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO X.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omne fruſtum coni, vel portionis conicæ, ad cy
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              lindrum, vel cylindri portionem, cuius baſis eſt ea
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              dem, quæ maior baſis fruſti, & eadem altitudo,
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              eam habet proportionem, quàm rectangulum con
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              tentum baſium diametris eiuſdem rationis, vnà
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              eum tertia parte quadrati differentiæ earumdem
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              diametrorum, ad maioris baſis quadratum. </s>
              <s>Ad
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              conum autem, vel coni portionem, cuius baſis eſt
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              eadem, quæ maior baſis fruſti, & eadem altitudo;
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              vt prædictum rectangulum, vnà cum prædicti qua
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              drati tertia parte, ad tertiam partem quadrati ex
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              diametro maioris baſis. </s>
              <s>Prædicti autem cylindri, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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