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

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    <echo version="1.0RC">
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        <div xml:id="echoid-div874" type="section" level="1" n="522">
          <p>
            <s xml:id="echoid-s9021" xml:space="preserve">
              <pb o="359" file="0379" n="379" rhead="LIBER IV."/>
            uicẽ, vt ſemianulos ſtrictos parabolicos ex parabolis, DBF, NBC,
              <lb/>
            genitos in reuolut. </s>
            <s xml:id="echoid-s9022" xml:space="preserve">circa, CF, & </s>
            <s xml:id="echoid-s9023" xml:space="preserve">ſic ſolida ſimiliaria, &</s>
            <s xml:id="echoid-s9024" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9025" xml:space="preserve">& </s>
            <s xml:id="echoid-s9026" xml:space="preserve">vtroſq;
              <lb/>
            </s>
            <s xml:id="echoid-s9027" xml:space="preserve">ſemianulos parabolicos, ſiue latos, ſiue ſtrictos eſſe ad inuicom, vt
              <lb/>
            cubi dictarum parabolarum baſium, DF, NO, & </s>
            <s xml:id="echoid-s9028" xml:space="preserve">ſic etiam ſolida
              <lb/>
            ſimilaria, &</s>
            <s xml:id="echoid-s9029" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9030" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div875" type="section" level="1" n="523">
          <head xml:id="echoid-head543" xml:space="preserve">COROLLARIVM XIX.</head>
          <p>
            <s xml:id="echoid-s9031" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s9032" xml:space="preserve">41. </s>
            <s xml:id="echoid-s9033" xml:space="preserve">viſis adhuc fig. </s>
            <s xml:id="echoid-s9034" xml:space="preserve">Cor. </s>
            <s xml:id="echoid-s9035" xml:space="preserve">10. </s>
            <s xml:id="echoid-s9036" xml:space="preserve">& </s>
            <s xml:id="echoid-s9037" xml:space="preserve">12. </s>
            <s xml:id="echoid-s9038" xml:space="preserve">ſuperiorum, patet
              <lb/>
            ſemibaſim columnarem ſtrictam parabolicam genitam in re-
              <lb/>
            uolutione ex figura, CBDF, ad ſemibaſim columnarem latam pa-
              <lb/>
            rabol cam genitam ex figura, CBNP, eſſe vt parallelepipedum
              <lb/>
            ſub, BE, & </s>
            <s xml:id="echoid-s9039" xml:space="preserve">{1/2} {7/4}. </s>
            <s xml:id="echoid-s9040" xml:space="preserve">quadrati ipſius, DF, ad parallelepipedum ſub, BX,
              <lb/>
            & </s>
            <s xml:id="echoid-s9041" xml:space="preserve">his ſpatijs. </s>
            <s xml:id="echoid-s9042" xml:space="preserve">ſ@ quadrato, XP, {1/2}. </s>
            <s xml:id="echoid-s9043" xml:space="preserve">quadrati, NX, & </s>
            <s xml:id="echoid-s9044" xml:space="preserve">rectangulo ſub
              <lb/>
            ſexquitertia, NX, & </s>
            <s xml:id="echoid-s9045" xml:space="preserve">ſub, XP; </s>
            <s xml:id="echoid-s9046" xml:space="preserve">& </s>
            <s xml:id="echoid-s9047" xml:space="preserve">ſic etiam eſse quodlibet ſolidum
              <lb/>
            ſimilare genitum ex figura, CBDF, ad ſolidum ſibi ſimilare genitũ
              <lb/>
            ex figura, CBNP, iuxta communem regulam, DF, patet inſuper
              <lb/>
            ſemibaſim columnarem latam parabolicam genitam in reuolutio-
              <lb/>
            ne circa, HM, ex figura, DBHM, ad ſemibaſim columnarem latã
              <lb/>
            parabolicam genitam ex figura, HBNV, eſse vt parallelepipedum
              <lb/>
            ſub, BE, & </s>
            <s xml:id="echoid-s9048" xml:space="preserve">his ſpatijs .</s>
            <s xml:id="echoid-s9049" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s9050" xml:space="preserve">quadrato. </s>
            <s xml:id="echoid-s9051" xml:space="preserve">ME, {1/2}. </s>
            <s xml:id="echoid-s9052" xml:space="preserve">quadrati, ED, & </s>
            <s xml:id="echoid-s9053" xml:space="preserve">rectã-
              <lb/>
            gulo ſub ſexquitertia, DE, & </s>
            <s xml:id="echoid-s9054" xml:space="preserve">ſub, EM, ad parallelepipedum ſub, B
              <lb/>
            X, & </s>
            <s xml:id="echoid-s9055" xml:space="preserve">his ſpatijs .</s>
            <s xml:id="echoid-s9056" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s9057" xml:space="preserve">quadrato, VX, {1/2}. </s>
            <s xml:id="echoid-s9058" xml:space="preserve">quadrati, XN, & </s>
            <s xml:id="echoid-s9059" xml:space="preserve">rectangulo
              <lb/>
            ſub ſexquitertia, NX, & </s>
            <s xml:id="echoid-s9060" xml:space="preserve">ſub, XV; </s>
            <s xml:id="echoid-s9061" xml:space="preserve">& </s>
            <s xml:id="echoid-s9062" xml:space="preserve">ſic etiam eſſe ſolidum ſimila-
              <lb/>
            re quodcunq; </s>
            <s xml:id="echoid-s9063" xml:space="preserve">genitum ex figura, HBDM, ad ſolidum ſibi ſimila-
              <lb/>
            re genitum ex figura, HBNV, iuxta communem regulam, DM.</s>
            <s xml:id="echoid-s9064" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div876" type="section" level="1" n="524">
          <head xml:id="echoid-head544" xml:space="preserve">COROLLARIVM XX.</head>
          <p>
            <s xml:id="echoid-s9065" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s9066" xml:space="preserve">42. </s>
            <s xml:id="echoid-s9067" xml:space="preserve">aſſumpta figura, quæ ad ipſum pertinet .</s>
            <s xml:id="echoid-s9068" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s9069" xml:space="preserve">paralle-
              <lb/>
            logrãmo, AF, & </s>
            <s xml:id="echoid-s9070" xml:space="preserve">ſruſto parab læ maiori illi incluſo .</s>
            <s xml:id="echoid-s9071" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s9072" xml:space="preserve">EBHF,
              <lb/>
              <figure xlink:label="fig-0379-01" xlink:href="fig-0379-01a" number="259">
                <image file="0379-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0379-01"/>
              </figure>
            vt fiat noſtrum exẽ
              <lb/>
            plũ reuoluatur, AF,
              <lb/>
            eirca manẽtẽ axim,
              <lb/>
            CF, fiat autem ex,
              <lb/>
            AF, cylindrus, AN,
              <lb/>
            & </s>
            <s xml:id="echoid-s9073" xml:space="preserve">ex figura, HBCF,
              <lb/>
            ſolidum, HBON,
              <lb/>
            quod vocetur: </s>
            <s xml:id="echoid-s9074" xml:space="preserve">ſemi-
              <lb/>
            baſis collumnaris
              <lb/>
            media parabolica, & </s>
            <s xml:id="echoid-s9075" xml:space="preserve">extenſo plano, AF, macſimiè producatur </s>
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