Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/252.jpg" pagenum="73"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis portionis conoidis parabolici centrum
                <lb/>
              grauitatis eſt punctum illud, in quo axis ſic diui­
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              ditur, vt pars quæ ad verticem ſit eius, quæ ad ba­
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              ſim dupla. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti portionis conoidis parabolici cen
                <lb/>
              trum grauitatis eſt punctum illud, in quo axis ſic
                <lb/>
              diuiditur, vt pars minorem baſim attingens ſit ad
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              reliquam, vt duplum maioris baſis vnà cum mino
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              ri, ad duplum minoris, vnà cum maiori. </s>
            </p>
            <p type="main">
              <s>Harum proportionum vtriuſque non alia demonſtratio
                <lb/>
              eſt ab ea, quam in ſecundo ſcripſimus de centro grauitatis
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              conoidis parabolici, & eius fruſti: propterea quod omnis por
                <lb/>
              tionis conoidis parabolici, ſicut & hyperbolici ſectio baſi
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              parallela ellipſis eſt ſimilis baſi. </s>
              <s>Ex corollario xv. </s>
              <s>de conoi­
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              dibus, & ſphæroidibus Archimedis. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXIX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis conoidis hyperbolici, vel portionis hy­
                <lb/>
              perbolici conoidis centrum grauitatis, eſt pun­
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              ctum illud, in quo duodecima pars axis ordine
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              quarta ab ea, quæ baſim attingit, ſic diuiditur, vt
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              pars propinquior baſi ſit ad reliquam vt ſeſquial­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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