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

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        <div xml:id="echoid-div191" type="section" level="1" n="124">
          <pb o="78" file="0098" n="98" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div193" type="section" level="1" n="125">
          <head xml:id="echoid-head136" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s1973" xml:space="preserve">_H_Inc patet ipſam, BE, communem ſectionem trianguli por axem
              <lb/>
            ducti, & </s>
            <s xml:id="echoid-s1974" xml:space="preserve">circuli, BRE, eſſe eiuſdem diametrum, cum per eius
              <lb/>
            centrum tranſedt.</s>
            <s xml:id="echoid-s1975" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div194" type="section" level="1" n="126">
          <head xml:id="echoid-head137" xml:space="preserve">THEOREMA XXXIII. PROPOS. XXXVI.</head>
          <p>
            <s xml:id="echoid-s1976" xml:space="preserve">SI ſolidum rotundum, vel conus ſcalenus ſecentur plano
              <lb/>
            per axem, deinde ſecetur ſolidum rotundum (niſi baſim
              <lb/>
            habeat, quę circulus erit) plano ad axem recto circulum pro-
              <lb/>
            ducente, in cuius plano, & </s>
            <s xml:id="echoid-s1977" xml:space="preserve">illius, qui eſt coni baſis perpen-
              <lb/>
            dicularis ducta ſit baſi figurę per axim ductę; </s>
            <s xml:id="echoid-s1978" xml:space="preserve">deinde ſumpto
              <lb/>
            puncto in ambitu figuræ per axem, per illum æquidiſtans di-
              <lb/>
            ctæ perpendiculari ducta fueritrecta linea, hæc tanget dicta
              <lb/>
            ſolida, at ſi ſumptus punctus ſit extra talem ambitum, ſed in
              <lb/>
            ſuperficie ambiente dicta ſolida, quæ per ipſum ducitur ei-
              <lb/>
            dem æquidiſtans intra dicta ſolida cadet, & </s>
            <s xml:id="echoid-s1979" xml:space="preserve">producta vſque
              <lb/>
            ad ſuperficiem ambientem à figura ducta per axem bifariam
              <lb/>
            diuidetur.</s>
            <s xml:id="echoid-s1980" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1981" xml:space="preserve">Sit ſolidum rotundum, ABTF, vel conus ſcalenus, APR, in
              <lb/>
            baſi circulo, PXRZ, quorum axis, AT, & </s>
            <s xml:id="echoid-s1982" xml:space="preserve">ſi ſolidum rotundum
              <lb/>
            non habeat baſim, ſe-
              <lb/>
              <figure xlink:label="fig-0098-01" xlink:href="fig-0098-01a" number="54">
                <image file="0098-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0098-01"/>
              </figure>
            cetur plano recto ad
              <lb/>
            axem, quod in eo pro-
              <lb/>
            ducat circulum, PXR
              <lb/>
            Z, ſecentur autem am-
              <lb/>
            bo planis per axem-
              <lb/>
            quæ producant in ſo-
              <lb/>
            lido rotundo figuram,
              <lb/>
            APTF, & </s>
            <s xml:id="echoid-s1983" xml:space="preserve">in cono
              <lb/>
            triangulum, APR,
              <lb/>
            deinde in plano circu-
              <lb/>
            li, PZRX, ducatur
              <lb/>
            ipſi, PR, communi
              <lb/>
            ſectioni dicti circuli, & </s>
            <s xml:id="echoid-s1984" xml:space="preserve">
              <lb/>
            figuræ per axem, perpendicularis, ZX, & </s>
            <s xml:id="echoid-s1985" xml:space="preserve">ſumpto puncto in ambitu
              <lb/>
            figurę per axem, vt, 2, per ipſum ducatur recta linea parallela </s>
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