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

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        <div xml:id="echoid-div854" type="section" level="1" n="506">
          <pb o="354" file="0374" n="374" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div855" type="section" level="1" n="507">
          <head xml:id="echoid-head527" xml:space="preserve">C. SECTIO IV.</head>
          <note position="left" xml:space="preserve">C</note>
          <p>
            <s xml:id="echoid-s8877" xml:space="preserve">ITem, quod eadem ſolida baſes habentia altitudinibus; </s>
            <s xml:id="echoid-s8878" xml:space="preserve">vel ſe-
              <lb/>
            cantibus æqualiter tangentibus inclinatis reciprocas, ſint æ-
              <lb/>
            qualia; </s>
            <s xml:id="echoid-s8879" xml:space="preserve">& </s>
            <s xml:id="echoid-s8880" xml:space="preserve">quæ ſunt æqualia, baſes habeant altitudinibus, vel ſe-
              <lb/>
            cantibus æqualiter tangentibus inclinatis reciprocas.</s>
            <s xml:id="echoid-s8881" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div856" type="section" level="1" n="508">
          <head xml:id="echoid-head528" xml:space="preserve">D. SECTIO V.</head>
          <note position="left" xml:space="preserve">D</note>
          <p>
            <s xml:id="echoid-s8882" xml:space="preserve">TAndem, quod eadem ſolida ſint in tripla ratione tangen-
              <lb/>
            tium, vel ſecantium parabolas; </s>
            <s xml:id="echoid-s8883" xml:space="preserve">ſi tangentes ad ſecantes ſe-
              <lb/>
            miparabolas, ex quibus in reuolutione generantur, habeant ean-
              <lb/>
            dem rationem.</s>
            <s xml:id="echoid-s8884" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div857" type="section" level="1" n="509">
          <head xml:id="echoid-head529" xml:space="preserve">COROLLARIVM IX.</head>
          <p>
            <s xml:id="echoid-s8885" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s8886" xml:space="preserve">31. </s>
            <s xml:id="echoid-s8887" xml:space="preserve">expoſiea figura, & </s>
            <s xml:id="echoid-s8888" xml:space="preserve">vt fiat noſtrum exemplum re-
              <lb/>
            uoluto, AC, circa manentem axim, AB, patet ſolidum, quod
              <lb/>
              <figure xlink:label="fig-0374-01" xlink:href="fig-0374-01a" number="255">
                <image file="0374-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0374-01"/>
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            in reuolutione fit ex trilineo, AD
              <lb/>
            C, ad ſolidum, quod fit ex trilineo,
              <lb/>
            MFC, eſſe vt quadratum, AB, ad
              <lb/>
            quadratum, BE, & </s>
            <s xml:id="echoid-s8889" xml:space="preserve">vniuerſaliter, ſo-
              <lb/>
            lidum ſimilare genitum ex, AC,
              <lb/>
            dempto ſolido ſimilari genito ex ſe-
              <lb/>
            miparabola, ACB, ad ſibi ſimilare
              <lb/>
            genitum ex, EC, dempto ſolido ſi-
              <lb/>
            milari genito ex fruſto, EMCB,
              <lb/>
            eſſe vt quadratum, AB, ad quadratum, BE, genita, in quam in-
              <lb/>
            tellige iuxta communem regulam, BC.</s>
            <s xml:id="echoid-s8890" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div859" type="section" level="1" n="510">
          <head xml:id="echoid-head530" xml:space="preserve">COROLL X. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s8891" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8892" xml:space="preserve">32. </s>
            <s xml:id="echoid-s8893" xml:space="preserve">expoſita figura, & </s>
            <s xml:id="echoid-s8894" xml:space="preserve">vt fiat noſtrum exemplum re-
              <lb/>
            uoluto, AF, circa manentem axim, CF, patebit cylindrum
              <lb/>
            in reuolutione genitum ex AF, ad ſolidum genitum ex parabola,
              <lb/>
            DBF, eſſe vt, AF, ad parabolam, DBF, & </s>
            <s xml:id="echoid-s8895" xml:space="preserve">ita eſſe quodlibet ſo-
              <lb/>
            lidum ſimilare genitum ex, AF, ad ſibi ſimilare genitum ex figu-
              <lb/>
            ra, CBDF, dempto ſolido ſimilari genito ex trilineo, BCF; </s>
            <s xml:id="echoid-s8896" xml:space="preserve">cy-
              <lb/>
            lindrum verò genitum ex, AF, .</s>
            <s xml:id="echoid-s8897" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s8898" xml:space="preserve">AM, ad ſolidum in reuolutione
              <lb/>
            genitum ex figura, CBDF, eſſe vt, AF, ad parabolam, </s>
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