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

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        <div xml:id="echoid-div869" type="section" level="1" n="518">
          <pb o="358" file="0378" n="378" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div871" type="section" level="1" n="519">
          <head xml:id="echoid-head539" xml:space="preserve">COROLLARIVM XVI.</head>
          <p>
            <s xml:id="echoid-s8996" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s8997" xml:space="preserve">38. </s>
            <s xml:id="echoid-s8998" xml:space="preserve">conſpecta adhuc eadem ſuperiori figura, habe-
              <lb/>
            tur ſemianulum latum parabolicum genitum in reuolutione
              <lb/>
            ex parabola, DBF, ad ſemianu um ſtrictum pararabolicum geni-
              <lb/>
            tum ex eadem, eſse vt, DM, MF, ad FD, & </s>
            <s xml:id="echoid-s8999" xml:space="preserve">ſic eſse ſolidum ſimi-
              <lb/>
            lare quodcunq; </s>
            <s xml:id="echoid-s9000" xml:space="preserve">genitum ex figura, HBDM, dempto ſolido ſimi-
              <lb/>
            lari genito ex figura, BHMF, ad ſolidum ſibi ſimilari genitum ex
              <lb/>
            figura, CBDF, dempto ſolido ſimilari genito ex trilineo, BCF,
              <lb/>
            iuxta communem regulam, DM.</s>
            <s xml:id="echoid-s9001" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div872" type="section" level="1" n="520">
          <head xml:id="echoid-head540" xml:space="preserve">COROLLARIVM XVII.</head>
          <p>
            <s xml:id="echoid-s9002" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s9003" xml:space="preserve">39. </s>
            <s xml:id="echoid-s9004" xml:space="preserve">viſa eadem ſuperioris figura, habemus ſemianu-
              <lb/>
            lum latum parabolicum genitum ex parabola, DBF, ad co-
              <lb/>
            noidem parabolicam genitam ex eadem per reuolutionem, eſse vt,
              <lb/>
            DM, MF, ad {3/16}. </s>
            <s xml:id="echoid-s9005" xml:space="preserve">ipſius, FD, & </s>
            <s xml:id="echoid-s9006" xml:space="preserve">ſic eſse quodlibet ſolidum ſimila-
              <lb/>
            re genitum ex, HBDM, dempto ſolido ſimilari genito ex figura,
              <lb/>
            BHMF, ad ſolidum ſibi ſimilare genitum ex ſemiparabola, BDE,
              <lb/>
            iuxta communem regulam, DM.</s>
            <s xml:id="echoid-s9007" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div873" type="section" level="1" n="521">
          <head xml:id="echoid-head541" xml:space="preserve">COROLL XVIII. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s9008" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s9009" xml:space="preserve">40. </s>
            <s xml:id="echoid-s9010" xml:space="preserve">viſis fig. </s>
            <s xml:id="echoid-s9011" xml:space="preserve">Cor. </s>
            <s xml:id="echoid-s9012" xml:space="preserve">10, & </s>
            <s xml:id="echoid-s9013" xml:space="preserve">12. </s>
            <s xml:id="echoid-s9014" xml:space="preserve">ſuperiorum, & </s>
            <s xml:id="echoid-s9015" xml:space="preserve">ductis vt-
              <lb/>
            cumque baſi parabolæ, DBF, æquidiſtantibus intra ipſam, quę
              <lb/>
            ſint, GP, GPV, patet ſemianulos parabolicos ex parabolis, DBF,
              <lb/>
            NBO, in vtraq; </s>
            <s xml:id="echoid-s9016" xml:space="preserve">figura per reuolutionem genitos, eſse inter ſe, vt
              <lb/>
            ipſas parabolas, DBF, NBO, & </s>
            <s xml:id="echoid-s9017" xml:space="preserve">ſic eſse quodlibet ſolidum ſimi-
              <lb/>
            lare genitum ex figura, HBDM, dempto ſolido ſimilari genito
              <lb/>
            ex figura, BFMH, ad ſibi ſimilare genitum ex figura, HBNV,
              <lb/>
            dempto ſolido ſimilari genito ex figura, HBOV. </s>
            <s xml:id="echoid-s9018" xml:space="preserve">Et ſic etiam
              <lb/>
            ſolidum ſimilare genitum ex figura, CBDF, dempto ſolido ſimi-
              <lb/>
            lari genito ex trilineo, CBF, ad ſolidum ſibi ſimilare genitum ex
              <lb/>
            figura, CBNP, dempto ſolido ſimilari genito ex figura, BCPO,
              <lb/>
            genita inquam iuxta communes regulas, DF.</s>
            <s xml:id="echoid-s9019" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div874" type="section" level="1" n="522">
          <head xml:id="echoid-head542" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s9020" xml:space="preserve">EX Coroll. </s>
            <s xml:id="echoid-s9021" xml:space="preserve">habetur ſemianulos latos parabolicos ex parabolis,
              <lb/>
            DBF, NBO, in reuolutione circa, HM, genitos eſse ad </s>
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