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

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        <div xml:id="echoid-div848" type="section" level="1" n="502">
          <pb o="353" file="0373" n="373" rhead="LIBER IV."/>
        </div>
        <div xml:id="echoid-div849" type="section" level="1" n="503">
          <head xml:id="echoid-head523" xml:space="preserve">D. SECTIO IV.</head>
          <note position="right" xml:space="preserve">D</note>
          <p>
            <s xml:id="echoid-s8855" xml:space="preserve">TAndem colligemus conoides parabolicas, & </s>
            <s xml:id="echoid-s8856" xml:space="preserve">cætera ſolida ſi-
              <lb/>
            milaria ex parabolis genita iuxta regulas ipſarum baſes, qua-
              <lb/>
              <note position="right" xlink:label="note-0373-02" xlink:href="note-0373-02a" xml:space="preserve">46. l. 1.</note>
            rum axes, vel diametri ad homologas baſium diametros, vel late-
              <lb/>
            ra habeant eandem ratione .</s>
            <s xml:id="echoid-s8857" xml:space="preserve">i. </s>
            <s xml:id="echoid-s8858" xml:space="preserve">ſimiles conoides parabolicas, & </s>
            <s xml:id="echoid-s8859" xml:space="preserve">ſi-
              <lb/>
            milia ſolida ſimilaria genita ex parabolis iam dictis, eſſe in tripla
              <lb/>
            ratione dictarum homologarum linearum.</s>
            <s xml:id="echoid-s8860" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div851" type="section" level="1" n="504">
          <head xml:id="echoid-head524" xml:space="preserve">+ COROLL. VIII. SECTIO I.</head>
          <note position="right" xml:space="preserve">+</note>
          <p>
            <s xml:id="echoid-s8861" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8862" xml:space="preserve">30. </s>
            <s xml:id="echoid-s8863" xml:space="preserve">expoſita figura, vt fiat ſolitum exemplum, reuo-
              <lb/>
            luatur, ACD, circa manentem axim, DC, patebit ergo cylin-
              <lb/>
              <figure xlink:label="fig-0373-01" xlink:href="fig-0373-01a" number="254">
                <image file="0373-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0373-01"/>
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            drum genitum ex, BD, in reuolutione
              <lb/>
            .</s>
            <s xml:id="echoid-s8864" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s8865" xml:space="preserve">BF, eſſe ſexcuplum ſolidi geniti ex
              <lb/>
            trilineo, CDA, .</s>
            <s xml:id="echoid-s8866" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s8867" xml:space="preserve">ſolidi, CAF. </s>
            <s xml:id="echoid-s8868" xml:space="preserve">Sed
              <lb/>
            vniuerſaliter ſolidum ſimilare geni-
              <lb/>
            tum ex, BD, ad ſibi ſimilare genitum
              <lb/>
            ex, CDA, ſexcuplam rationem habe-
              <lb/>
            re, ſiue CD, ſit perpendicularis ipſi,
              <lb/>
            DA, ſiue non; </s>
            <s xml:id="echoid-s8869" xml:space="preserve">vocetur autem ſoli
              <lb/>
            dum genitum per reuolutionem ex, C
              <lb/>
            DA, Apex parabolicus.</s>
            <s xml:id="echoid-s8870" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div853" type="section" level="1" n="505">
          <head xml:id="echoid-head525" xml:space="preserve">A. SECTIO II.</head>
          <note position="right" xml:space="preserve">A</note>
          <p>
            <s xml:id="echoid-s8871" xml:space="preserve">IN Corollario autem colligimusapices parabolicos in eadem
              <lb/>
            altitudine exiſtentes, eſſe vt baſium quadrata, & </s>
            <s xml:id="echoid-s8872" xml:space="preserve">in eiſdem ba-
              <lb/>
            ſibus eſſe, vt altitudines, ſic etiam eſſe ſolida ſimilaria genita ex
              <lb/>
            trilineis in eadem altitudine, vel in eadem baſi exiſtentibus, geni-
              <lb/>
            ta inquam iuxta regulas tangentes ipſas parabolas.</s>
            <s xml:id="echoid-s8873" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div854" type="section" level="1" n="506">
          <head xml:id="echoid-head526" xml:space="preserve">B. SECTIO III.</head>
          <note position="right" xml:space="preserve">B</note>
          <p>
            <s xml:id="echoid-s8874" xml:space="preserve">ITem, quod eadem ſolida quomodocunque ſint, habeant inter
              <lb/>
            ſe rationem compoſitam ex ratione baſium, & </s>
            <s xml:id="echoid-s8875" xml:space="preserve">altitudinum,
              <lb/>
            vel ſecantium æqualiter tangentibus inclinatarum.</s>
            <s xml:id="echoid-s8876" xml:space="preserve"/>
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