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

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        <div xml:id="echoid-div976" type="section" level="1" n="581">
          <pb o="416" file="0436" n="436" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div978" type="section" level="1" n="582">
          <head xml:id="echoid-head607" xml:space="preserve">COROLLARIVM VIII.</head>
          <p>
            <s xml:id="echoid-s10858" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10859" xml:space="preserve">8. </s>
            <s xml:id="echoid-s10860" xml:space="preserve">ſumpto exemplo ex anteced. </s>
            <s xml:id="echoid-s10861" xml:space="preserve">figura, in qu a trap
              <lb/>
            zium, THRP, in reuolutione genuit fruſtum coni, THRP, & </s>
            <s xml:id="echoid-s10862" xml:space="preserve">
              <lb/>
              <figure xlink:label="fig-0436-01" xlink:href="fig-0436-01a" number="297">
                <image file="0436-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0436-01"/>
              </figure>
            fruſtum hyperbolæ, IYXS, ge-
              <lb/>
            nuit fruſtum conoidis, IYXS; </s>
            <s xml:id="echoid-s10863" xml:space="preserve">pa-
              <lb/>
            tet fruſtum coni, THRP, ad fru-
              <lb/>
            ſtum conoidis, IYXS, habere ra-
              <lb/>
            tionem compoſitam ex ea, quã
              <lb/>
            habet rectangulum ſub, GP, VR,
              <lb/>
            cum {1/3}. </s>
            <s xml:id="echoid-s10864" xml:space="preserve">quadratiearum differen-
              <lb/>
            tiæ ad quadratum, VX, & </s>
            <s xml:id="echoid-s10865" xml:space="preserve">ex ea,
              <lb/>
            quam habet rectãgulum, BVO,
              <lb/>
            ad rectangulum ſub, BV, OG,
              <lb/>
            vna cum rectangulo ſub compo.
              <lb/>
            </s>
            <s xml:id="echoid-s10866" xml:space="preserve">ſita ex {1/2}. </s>
            <s xml:id="echoid-s10867" xml:space="preserve">BO, & </s>
            <s xml:id="echoid-s10868" xml:space="preserve">{1/3}. </s>
            <s xml:id="echoid-s10869" xml:space="preserve">GV, & </s>
            <s xml:id="echoid-s10870" xml:space="preserve">ſub,
              <lb/>
            GV; </s>
            <s xml:id="echoid-s10871" xml:space="preserve">& </s>
            <s xml:id="echoid-s10872" xml:space="preserve">ſic eſſe quodlibet ſolidũ
              <lb/>
            ſimilare genitum ex trapezio, T
              <lb/>
            HRP, ad ſibi ſimilare genitum ex fruſto hyperbolæ, ISXY, iux-
              <lb/>
            ta communem regulam, HR.</s>
            <s xml:id="echoid-s10873" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div980" type="section" level="1" n="583">
          <head xml:id="echoid-head608" xml:space="preserve">COROLLARIVM IX.</head>
          <p>
            <s xml:id="echoid-s10874" xml:space="preserve">EX Propoſ. </s>
            <s xml:id="echoid-s10875" xml:space="preserve">9. </s>
            <s xml:id="echoid-s10876" xml:space="preserve">conſpecta figura Corollarij 7. </s>
            <s xml:id="echoid-s10877" xml:space="preserve">manifeſtò colli-
              <lb/>
            gitur Conum, HCR, ad conoidem, SOX, eſſe vt cubus, CV,
              <lb/>
            ad parallelepipedum ter ſub, CO. </s>
            <s xml:id="echoid-s10878" xml:space="preserve">& </s>
            <s xml:id="echoid-s10879" xml:space="preserve">quadrato, OV, cumcubo, O
              <lb/>
            V, & </s>
            <s xml:id="echoid-s10880" xml:space="preserve">ſic etiam eſſe quæcunq; </s>
            <s xml:id="echoid-s10881" xml:space="preserve">ſolida ſimilaria genita ex triangulo,
              <lb/>
            HCR, ad ſibi ſimilaria genita ex hyperbola, SOX, iuxta commu-
              <lb/>
            nem regulam, HR.</s>
            <s xml:id="echoid-s10882" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div981" type="section" level="1" n="584">
          <head xml:id="echoid-head609" xml:space="preserve">COROLLARIVM X.</head>
          <p>
            <s xml:id="echoid-s10883" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10884" xml:space="preserve">10. </s>
            <s xml:id="echoid-s10885" xml:space="preserve">colligimus ſolida ſim laria genita ex hyperbolis,
              <lb/>
            AOC, OVX, habere inter ſe rationem compoſi@am ex ratio-
              <lb/>
            nibus ibi appoſitis, quæ breuitatis gratia inibi recola@tur.</s>
            <s xml:id="echoid-s10886" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div982" type="section" level="1" n="585">
          <head xml:id="echoid-head610" xml:space="preserve">COROLLARIVM XI.</head>
          <p>
            <s xml:id="echoid-s10887" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s10888" xml:space="preserve">11. </s>
            <s xml:id="echoid-s10889" xml:space="preserve">expoſita eius figura, habemus conoides hyper-
              <lb/>
            bolicas ab eadem conoide diremptas. </s>
            <s xml:id="echoid-s10890" xml:space="preserve">habere inter ſe </s>
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