Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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          <pb o="285" file="0305" n="305" rhead="GEOMETRIÆ"/>
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        <div xml:id="echoid-div688" type="section" level="1" n="404">
          <head xml:id="echoid-head422" xml:space="preserve">CAVALER II</head>
          <head xml:id="echoid-head423" xml:space="preserve">LIBER QVARTVS.</head>
          <head xml:id="echoid-head424" xml:space="preserve">In quo de Parabola, & ſolidis ab eadem
            <lb/>
          genitis enucleatur doctrina.</head>
          <figure number="198">
            <image file="0305-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0305-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div689" type="section" level="1" n="405">
          <head xml:id="echoid-head425" xml:space="preserve">THEOREMAI. PROPOS. I.</head>
          <p>
            <s xml:id="echoid-s6952" xml:space="preserve">SI PARALLELOGRAMMVM, & </s>
            <s xml:id="echoid-s6953" xml:space="preserve">trian-
              <lb/>
            gulum fuerint in eadem baſi, & </s>
            <s xml:id="echoid-s6954" xml:space="preserve">circa
              <lb/>
            eundem axim, vel diametrum cum pa-
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            rabola; </s>
            <s xml:id="echoid-s6955" xml:space="preserve">parallelogrammum erit para-
              <lb/>
            bolæ ſexquialterum, triangulum au-
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            tem erit eiuſdem parabolæ ſubſexqui-
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            tertium.</s>
            <s xml:id="echoid-s6956" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6957" xml:space="preserve">Sit ergo parabola, FCH, in baſi, FH, circa axim, vel diame-
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            trum, CG, ſit autem in eadem baſi, FH, & </s>
            <s xml:id="echoid-s6958" xml:space="preserve">circa eundem axim, vel
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            diametrum parallelogrammum quoq; </s>
            <s xml:id="echoid-s6959" xml:space="preserve">AH, & </s>
            <s xml:id="echoid-s6960" xml:space="preserve">triangulum, CFH.
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            </s>
            <s xml:id="echoid-s6961" xml:space="preserve">
              <figure xlink:label="fig-0305-02" xlink:href="fig-0305-02a" number="199">
                <image file="0305-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0305-02"/>
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            Dico ergo parallelogrammum, AH,
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            eſſe ſexquialterum parabolæ, FCH;
              <lb/>
            </s>
            <s xml:id="echoid-s6962" xml:space="preserve">triangulum autem, CFH, eſſe eiuſdem
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            parabolæ, FCH, ſubſexquitertium. </s>
            <s xml:id="echoid-s6963" xml:space="preserve">
              <lb/>
            Sumatur ergoin, CE, quæ tangit pa-
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            rabolam in puncto, C, vtcunque pun-
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            ctum, N, & </s>
            <s xml:id="echoid-s6964" xml:space="preserve">per, N, ducatur ipſi, CG,
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            parallela, NO, producta vſque ad ba-
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            ſim, FH, cui occurrantin, O; </s>
            <s xml:id="echoid-s6965" xml:space="preserve">quæ pa-
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            riter ſecet curuam parabolæin, M, & </s>
            <s xml:id="echoid-s6966" xml:space="preserve">
              <lb/>
            per, M, ducatur ipſi baſi, FH, parallela, IL. </s>
            <s xml:id="echoid-s6967" xml:space="preserve">Eſtergo </s>
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