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

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          <pb o="421" file="0441" n="441" rhead="LIBER V."/>
        </div>
        <div xml:id="echoid-div999" type="section" level="1" n="596">
          <head xml:id="echoid-head621" xml:space="preserve">COROLLARIVM XX.</head>
          <p>
            <s xml:id="echoid-s10981" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10982" xml:space="preserve">20. </s>
            <s xml:id="echoid-s10983" xml:space="preserve">expoſita eius figura, & </s>
            <s xml:id="echoid-s10984" xml:space="preserve">vt fiatſolitum exemplum;
              <lb/>
            </s>
            <s xml:id="echoid-s10985" xml:space="preserve">ea circa axim, FE, reuoluta, vt ex, BE, fiat cylindrus, BC, & </s>
            <s xml:id="echoid-s10986" xml:space="preserve">
              <lb/>
              <figure xlink:label="fig-0441-01" xlink:href="fig-0441-01a" number="303">
                <image file="0441-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0441-01"/>
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            ex oppoſitis hyperbolis, BND, AM
              <lb/>
            C, fiant conoides, BND, AMC, quę
              <lb/>
            pariter dicantur; </s>
            <s xml:id="echoid-s10987" xml:space="preserve">Conoides oppoſitę,
              <lb/>
            Pitet cylindrum, BC, ad reliquum,
              <lb/>
            demptis ab eodem oppoſitis cono@di-
              <lb/>
            bus, AMC, BND, eſſe vt rectangulũ,
              <lb/>
            NEO, ad rectangulum, NOE, bis,
              <lb/>
            cum {2/3}. </s>
            <s xml:id="echoid-s10988" xml:space="preserve">quadrati, ME; </s>
            <s xml:id="echoid-s10989" xml:space="preserve">& </s>
            <s xml:id="echoid-s10990" xml:space="preserve">ſic eſſe quod-
              <lb/>
            libet lolidum ſimilare genitum ex, B
              <lb/>
            E, ad reliquum, demptis ab e@dem
              <lb/>
            ſolid@s ſimilaribus gen tis ex ſemihy-
              <lb/>
            perbolis, BNF, AME, vel ſic ſolidum
              <lb/>
            quodlibet ſimilare genitum ex, BC, ad
              <lb/>
            relliquum ab eodem, dempt@s ſolidis
              <lb/>
            ſimilaribus genitis ex hyperbolis op-
              <lb/>
            poſitis, BND, AMC, iuxta commu-
              <lb/>
            nem regulam, AC.</s>
            <s xml:id="echoid-s10991" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1001" type="section" level="1" n="597">
          <head xml:id="echoid-head622" xml:space="preserve">COROLLARIVM XXL</head>
          <p>
            <s xml:id="echoid-s10992" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10993" xml:space="preserve">21. </s>
            <s xml:id="echoid-s10994" xml:space="preserve">expoſita eius figura, & </s>
            <s xml:id="echoid-s10995" xml:space="preserve">ea circa axim, LX, reuo-
              <lb/>
            luta, vt ex, DX, fiat cylindrus, DE, & </s>
            <s xml:id="echoid-s10996" xml:space="preserve">ex figura, DAFEVC,
              <lb/>
              <figure xlink:label="fig-0441-02" xlink:href="fig-0441-02a" number="304">
                <image file="0441-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0441-02"/>
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            ſolidum, DAFEVC,
              <lb/>
            quod vocetur: </s>
            <s xml:id="echoid-s10997" xml:space="preserve">@ym-
              <lb/>
            panum hyperbolicũ:
              <lb/>
            </s>
            <s xml:id="echoid-s10998" xml:space="preserve">& </s>
            <s xml:id="echoid-s10999" xml:space="preserve">ex triangulis, HL
              <lb/>
            O, OXN, oppoſit
              <lb/>
            coni, HOS, NOY,
              <lb/>
            patet cylindrum, D
              <lb/>
            E, adtympanum, D
              <lb/>
            AFEVC, eſſe vt qua-
              <lb/>
            dratum, FE, ad qua
              <lb/>
            dratum, AV, cum
              <emph style="sub">1</emph>
            . </s>
            <s xml:id="echoid-s11000" xml:space="preserve">
              <lb/>
            quadrat@ HS,. </s>
            <s xml:id="echoid-s11001" xml:space="preserve">Ve (vt aliter ibiexplicatur) vt quadratum, RZ,
              <lb/>
            ad quadratum, AV, vna cum rectangulo ſub, AZ, & </s>
            <s xml:id="echoid-s11002" xml:space="preserve">rexquitertia,
              <lb/>
            ZV; </s>
            <s xml:id="echoid-s11003" xml:space="preserve">& </s>
            <s xml:id="echoid-s11004" xml:space="preserve">ſic eſſe quod@bet ſolidum ſimilare genitum ex, DE, ad </s>
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