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

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        <div xml:id="echoid-div965" type="section" level="1" n="575">
          <pb o="413" file="0433" n="433" rhead="LIBER V."/>
        </div>
        <div xml:id="echoid-div967" type="section" level="1" n="576">
          <head xml:id="echoid-head601" xml:space="preserve">COROLLARIVM II.</head>
          <p>
            <s xml:id="echoid-s10786" xml:space="preserve">INProp. </s>
            <s xml:id="echoid-s10787" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10788" xml:space="preserve">aſſumpta eius figura, dimiſſis parallelogrammis, A
              <lb/>
            Z, CG, & </s>
            <s xml:id="echoid-s10789" xml:space="preserve">rectis, CH, RG, LK, vt fiat noſtrum exemplum re-
              <lb/>
              <figure xlink:label="fig-0433-01" xlink:href="fig-0433-01a" number="291">
                <image file="0433-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0433-01"/>
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            uoluatur figura circa manentem axim,
              <lb/>
            NE, vt fiat ex parallelogrammo, SF, cy,
              <lb/>
            lindrus, SF, ex triangulo, DMF, conus-
              <lb/>
            DMF, & </s>
            <s xml:id="echoid-s10790" xml:space="preserve">ex hyperbolis, DNF, HNG,
              <lb/>
            conoides hyperbolicæ, DNF, HNG,
              <lb/>
            patet ergo ex hac Propoſ. </s>
            <s xml:id="echoid-s10791" xml:space="preserve">conoidem, D
              <lb/>
            NF, ad conoidem, HNG, abſciſſam pla-
              <lb/>
            no, HG, æquidiſtanteipſi plano, DF,
              <lb/>
            eſſe vt parallelepipedũ ſub, XE, & </s>
            <s xml:id="echoid-s10792" xml:space="preserve">qua-
              <lb/>
            drato, EN, ad parallelepipedum ſub, X
              <lb/>
            M, & </s>
            <s xml:id="echoid-s10793" xml:space="preserve">quadrato, MN, & </s>
            <s xml:id="echoid-s10794" xml:space="preserve">ſic eſſe quod-
              <lb/>
            libet ſolidum ſimilare genitum ex hy-
              <lb/>
            perbola, DNF, ad ſibi ſimilare genitũ
              <lb/>
            ex hyperbola, HNG, iuxta communem
              <lb/>
            regulam, DF.</s>
            <s xml:id="echoid-s10795" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div969" type="section" level="1" n="577">
          <head xml:id="echoid-head602" xml:space="preserve">COROLLARIVM III.</head>
          <p>
            <s xml:id="echoid-s10796" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10797" xml:space="preserve">3. </s>
            <s xml:id="echoid-s10798" xml:space="preserve">patet in ſuperioris figura, in qua eius exemplum
              <lb/>
            conſtructum eſt, cylindrum, SF, ad fruſtum conoidis, HDFG,
              <lb/>
            eſſe vt rectangulum, OEN, ad rectangulum ſub, OE, &</s>
            <s xml:id="echoid-s10799" xml:space="preserve">, NM,
              <lb/>
            vna cum rectangulo ſub compoſita ex {1/2}. </s>
            <s xml:id="echoid-s10800" xml:space="preserve">NO, & </s>
            <s xml:id="echoid-s10801" xml:space="preserve">{1/3}. </s>
            <s xml:id="echoid-s10802" xml:space="preserve">ME, & </s>
            <s xml:id="echoid-s10803" xml:space="preserve">ſub, M
              <lb/>
            E. </s>
            <s xml:id="echoid-s10804" xml:space="preserve">Et conum, DMF, ad idem fruſtum eſſe, vt rectangulum, OE
              <lb/>
            N, ad rectangulum ſub, OE, & </s>
            <s xml:id="echoid-s10805" xml:space="preserve">tripla, NM, vna cum rectangulo
              <lb/>
            ſub compoſita ex, NX, &</s>
            <s xml:id="echoid-s10806" xml:space="preserve">, ME, & </s>
            <s xml:id="echoid-s10807" xml:space="preserve">ſub, ME; </s>
            <s xml:id="echoid-s10808" xml:space="preserve">& </s>
            <s xml:id="echoid-s10809" xml:space="preserve">ſic eſſe ſolida ſi-
              <lb/>
            milaria quæcunq; </s>
            <s xml:id="echoid-s10810" xml:space="preserve">genita ex eiſdem figuris, parallelogrammo nẽ-
              <lb/>
            pè, SF, fruſto hyperbolæ, HDFG, & </s>
            <s xml:id="echoid-s10811" xml:space="preserve">triangulo, DMF, iuxta cõ.
              <lb/>
            </s>
            <s xml:id="echoid-s10812" xml:space="preserve">munem regulam, DF.</s>
            <s xml:id="echoid-s10813" xml:space="preserve"/>
          </p>
          <figure number="292">
            <image file="0433-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0433-02"/>
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