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

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        <div xml:id="echoid-div863" type="section" level="1" n="513">
          <p>
            <s xml:id="echoid-s8928" xml:space="preserve">
              <pb o="356" file="0376" n="376" rhead="GEOMETRIÆ."/>
            parabolam, DBF, (hoc autem vocetur Semianulus latus parabot
              <lb/>
            licus) & </s>
            <s xml:id="echoid-s8929" xml:space="preserve">ad ſolidum genitum ex figura, HBDM, eſſe vt quadra.
              <lb/>
            </s>
            <s xml:id="echoid-s8930" xml:space="preserve">tum, DM, ad quadratum, ME, {1/2}. </s>
            <s xml:id="echoid-s8931" xml:space="preserve">quadrati, ED, cum rectangu-
              <lb/>
            lo ſub ſexquitertia, DE, & </s>
            <s xml:id="echoid-s8932" xml:space="preserve">ſub, EM, quod vocetur Semibaſis co-
              <lb/>
            lumnaris parabolica lata; </s>
            <s xml:id="echoid-s8933" xml:space="preserve">Et vniuerſaliter ſolidum ſimilare geni-
              <lb/>
              <figure xlink:label="fig-0376-01" xlink:href="fig-0376-01a" number="257">
                <image file="0376-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0376-01"/>
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            tum ex, AM, ad ſibi ſimilare genitum ex figura, HBDM, habe-
              <lb/>
            re eandem rationem proximè dictæ ad idem verò dempto ſolido
              <lb/>
            ſimilari genito ex quadrilineo, BFMH, eſse vt, AF, ad parabo-
              <lb/>
            lam, DBF,.</s>
            <s xml:id="echoid-s8934" xml:space="preserve">. in ratione ſexq uialtera.</s>
            <s xml:id="echoid-s8935" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div865" type="section" level="1" n="514">
          <head xml:id="echoid-head534" xml:space="preserve">SECTIO POSTERIOR,</head>
          <p>
            <s xml:id="echoid-s8936" xml:space="preserve">IN Coroll. </s>
            <s xml:id="echoid-s8937" xml:space="preserve">poteſt colligi etiam in Cor. </s>
            <s xml:id="echoid-s8938" xml:space="preserve">10. </s>
            <s xml:id="echoid-s8939" xml:space="preserve">Prop. </s>
            <s xml:id="echoid-s8940" xml:space="preserve">51. </s>
            <s xml:id="echoid-s8941" xml:space="preserve">Sect. </s>
            <s xml:id="echoid-s8942" xml:space="preserve">po-
              <lb/>
            ſter. </s>
            <s xml:id="echoid-s8943" xml:space="preserve">concludi poſse cylindrum in reuolutione genitum ex, AF,
              <lb/>
            ad ſemibaſim columnarem ſtrictam parabolicam genitam ex figu-
              <lb/>
            ra, CBDF, eſse vt quadratum, DF, ad quadratum, FE, {1/2}, qua
              <lb/>
            drati, ED, & </s>
            <s xml:id="echoid-s8944" xml:space="preserve">rectangulum ſub ſexquitertia, DE, & </s>
            <s xml:id="echoid-s8945" xml:space="preserve">ſub, EF, & </s>
            <s xml:id="echoid-s8946" xml:space="preserve">
              <lb/>
            ſic eſſe ſolida ſimilaria ex eiſdem genita iuxta communem regu-
              <lb/>
            lam DF.</s>
            <s xml:id="echoid-s8947" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div866" type="section" level="1" n="515">
          <head xml:id="echoid-head535" xml:space="preserve">COROLL. XIII. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s8948" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8949" xml:space="preserve">35. </s>
            <s xml:id="echoid-s8950" xml:space="preserve">iterum aſsumpta antecedentis figura, patet cylin-
              <lb/>
            drum genitum in reuolutione ex, BM, .</s>
            <s xml:id="echoid-s8951" xml:space="preserve">i. </s>
            <s xml:id="echoid-s8952" xml:space="preserve">cylindrum, BY, ad
              <lb/>
            ſolidum genitum ex reuolutione figuræ, BHMF, .</s>
            <s xml:id="echoid-s8953" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s8954" xml:space="preserve">ad ſolidum,
              <lb/>
            BFKR, quod vocetur Semitympanum parabolicum, eſse vt qua-
              <lb/>
            dratum, EM, ad quadratum, MF, cum rectangulo ſub {2/3}. </s>
            <s xml:id="echoid-s8955" xml:space="preserve">EF, & </s>
            <s xml:id="echoid-s8956" xml:space="preserve">
              <lb/>
            FM, vna cum {1/6}. </s>
            <s xml:id="echoid-s8957" xml:space="preserve">quadrati, EF; </s>
            <s xml:id="echoid-s8958" xml:space="preserve">& </s>
            <s xml:id="echoid-s8959" xml:space="preserve">ſic eſse ſolidum ſimilare geni-
              <lb/>
            tum ex, BM, ad ſibi ſimilare genitum ex figura, BHMF, iuxta
              <lb/>
            communem regulam, DM.</s>
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