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

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          <pb o="415" file="0435" n="435" rhead="LIBER V."/>
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        <div xml:id="echoid-div974" type="section" level="1" n="580">
          <head xml:id="echoid-head605" xml:space="preserve">COROLLARIVM VI.</head>
          <p>
            <s xml:id="echoid-s10843" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10844" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10845" xml:space="preserve">expoſita eius figura, & </s>
            <s xml:id="echoid-s10846" xml:space="preserve">vt fiat noſtrum exemplum ea-
              <lb/>
              <figure xlink:label="fig-0435-01" xlink:href="fig-0435-01a" number="295">
                <image file="0435-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0435-01"/>
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            dein circa, EM, reuoluta, patet pla-
              <lb/>
            num tranſiens per, SV, æquid ſtans ba-
              <lb/>
            ſi, FG, a cono de, FEG, reſecare conoi-
              <lb/>
            dem, SEV, quæ ad conum, SEV, habet
              <lb/>
            rationem datam, quam nempè habet H
              <lb/>
            R, ad, RL, idq; </s>
            <s xml:id="echoid-s10847" xml:space="preserve">diſcimus efficere quo-
              <lb/>
            cunque ſolido ſimilari exiſtente, FEG,
              <lb/>
            cuius figura genitrix ſit, FEG, à quo .</s>
            <s xml:id="echoid-s10848" xml:space="preserve">ſ.
              <lb/>
            </s>
            <s xml:id="echoid-s10849" xml:space="preserve">ſciemus abſcindere per planũ baſi ęqui-
              <lb/>
            diſtans ſolidum ſibi ſimilare, quod nem-
              <lb/>
            pè erit genitũ ex hyperbola, SEV, quod
              <lb/>
            ad ſolidum ſibi ſimilare genitum ex triã-
              <lb/>
            gulo, SEV, habeat rationem datam,
              <lb/>
            dummodo data ratio ſit quidem maioris
              <lb/>
            in æqualitatis, ſed minor ſexquialtera.</s>
            <s xml:id="echoid-s10850" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div976" type="section" level="1" n="581">
          <head xml:id="echoid-head606" xml:space="preserve">COROLLARIVM VII.</head>
          <p>
            <s xml:id="echoid-s10851" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10852" xml:space="preserve">7. </s>
            <s xml:id="echoid-s10853" xml:space="preserve">expoſita eius figura, dimiſsis tamen rectis, ED, SO
              <lb/>
              <figure xlink:label="fig-0435-02" xlink:href="fig-0435-02a" number="296">
                <image file="0435-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0435-02"/>
              </figure>
            XO, & </s>
            <s xml:id="echoid-s10854" xml:space="preserve">parallelogrammis,
              <lb/>
            GX, GR, eadem reuoluatur cir-
              <lb/>
            ca manentem axim, CV, vt ex
              <lb/>
            triangulo, HCR, fiat conus, H
              <lb/>
            CR, & </s>
            <s xml:id="echoid-s10855" xml:space="preserve">ex hyperbola, SOX, co-
              <lb/>
            nois, SOX, patet ergo conum,
              <lb/>
            HCR, ad conoidem, SOX, eſſe
              <lb/>
            in ratione compoſita ex ea, quã
              <lb/>
            habet quadratum, SX, ad qua-
              <lb/>
            dratum, HR, & </s>
            <s xml:id="echoid-s10856" xml:space="preserve">rectangulum,
              <lb/>
            AVO, ad rectangulum, BVC.</s>
            <s xml:id="echoid-s10857" xml:space="preserve"/>
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