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

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        <div xml:id="echoid-div866" type="section" level="1" n="515">
          <pb o="357" file="0377" n="377" rhead="LIBER IV."/>
        </div>
        <div xml:id="echoid-div867" type="section" level="1" n="516">
          <head xml:id="echoid-head536" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s8961" xml:space="preserve">EX Coroll. </s>
            <s xml:id="echoid-s8962" xml:space="preserve">habetur cylindrum, BY, ad reſiduum, dempto ſe-
              <lb/>
            mitympano parabolico, BFKR, ab eodem, eſse vt quadra-
              <lb/>
            tum, EM, ad rectangulum ſub, MF, & </s>
            <s xml:id="echoid-s8963" xml:space="preserve">lub ſexquitertia, FE, cum
              <lb/>
            {5/6}. </s>
            <s xml:id="echoid-s8964" xml:space="preserve">quadrati, FE, & </s>
            <s xml:id="echoid-s8965" xml:space="preserve">ſic eſse ſolidum ſimilare genitum ex, BM, ad
              <lb/>
            reſiduum, dempto ad eodem ſolido ſimilari genito ex figura, BH
              <lb/>
            MF, iuxta communem regulam, DM.</s>
            <s xml:id="echoid-s8966" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div868" type="section" level="1" n="517">
          <head xml:id="echoid-head537" xml:space="preserve">COROLLARIVM XIV.</head>
          <p>
            <s xml:id="echoid-s8967" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8968" xml:space="preserve">36. </s>
            <s xml:id="echoid-s8969" xml:space="preserve">vila adhuc eadem figura, patet portionum ſemia-
              <lb/>
            nul@ lati parabolici ex, DBF, parabola in reuolutione geni-
              <lb/>
            ti, quæ ſepatantur a ſuperſicie deicripta ab axi, BE, exteriorem
              <lb/>
            ad interiorem .</s>
            <s xml:id="echoid-s8970" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8971" xml:space="preserve">quæ gignitur a ſemiparabola, BDE, ad eam,
              <lb/>
            quæ gignitura ſemiparabola, BFE, eſse vt, EM, cum {1/3}. </s>
            <s xml:id="echoid-s8972" xml:space="preserve">EM, & </s>
            <s xml:id="echoid-s8973" xml:space="preserve">
              <lb/>
            {1/2}. </s>
            <s xml:id="echoid-s8974" xml:space="preserve">ED, ad MF, cum {1/3}. </s>
            <s xml:id="echoid-s8975" xml:space="preserve">MF, & </s>
            <s xml:id="echoid-s8976" xml:space="preserve">{5/6}. </s>
            <s xml:id="echoid-s8977" xml:space="preserve">FE, & </s>
            <s xml:id="echoid-s8978" xml:space="preserve">ſic eſse ſolidum ſimilare
              <lb/>
            genitum ex figura, DBHM, dempto ſolido ſimilari genito ex, B
              <lb/>
            M, ad ſolidum ſimilare genitum ex, BM, dempto ſolido ſimilari
              <lb/>
            genito ex figura, BFMH, iuxta communem regulam, DM.</s>
            <s xml:id="echoid-s8979" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div869" type="section" level="1" n="518">
          <head xml:id="echoid-head538" xml:space="preserve">COROLLARIVM XV.</head>
          <p>
            <s xml:id="echoid-s8980" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8981" xml:space="preserve">37. </s>
            <s xml:id="echoid-s8982" xml:space="preserve">viſa fig. </s>
            <s xml:id="echoid-s8983" xml:space="preserve">Cor. </s>
            <s xml:id="echoid-s8984" xml:space="preserve">10. </s>
            <s xml:id="echoid-s8985" xml:space="preserve">P. </s>
            <s xml:id="echoid-s8986" xml:space="preserve">51. </s>
            <s xml:id="echoid-s8987" xml:space="preserve">huius, patet conoidem pa-
              <lb/>
              <figure xlink:label="fig-0377-01" xlink:href="fig-0377-01a" number="258">
                <image file="0377-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0377-01"/>
              </figure>
            rabol. </s>
            <s xml:id="echoid-s8988" xml:space="preserve">ge-
              <lb/>
            nitam in re-
              <lb/>
            uolutione ex
              <lb/>
            ſemiparabo-
              <lb/>
            la, BDE, ad
              <lb/>
            ſemianulum,
              <lb/>
            ſtrictum para
              <lb/>
            bolicum ge-
              <lb/>
            nitum ex pa-
              <lb/>
            rabola, DBF,
              <lb/>
            eſse vt {1/8}. </s>
            <s xml:id="echoid-s8989" xml:space="preserve">DF,
              <lb/>
            ad {2/3}. </s>
            <s xml:id="echoid-s8990" xml:space="preserve">DF,.</s>
            <s xml:id="echoid-s8991" xml:space="preserve">.
              <lb/>
            vt 3. </s>
            <s xml:id="echoid-s8992" xml:space="preserve">ad 16. </s>
            <s xml:id="echoid-s8993" xml:space="preserve">& </s>
            <s xml:id="echoid-s8994" xml:space="preserve">ſic eſſe ſolidum ſimilare genitum ex, DBE, ſemipa-
              <lb/>
            rabola, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido
              <lb/>
            ſimilari genito ex trilineo, BCF, iuxta communem regulam, DF.</s>
            <s xml:id="echoid-s8995" xml:space="preserve"/>
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