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

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          <pb o="272" file="0292" n="292" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div654" type="section" level="1" n="383">
          <head xml:id="echoid-head400" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s6740" xml:space="preserve">IN huius Corollario colligitur ſolidum ſimilare genitum ex, HP,
              <lb/>
            ad ſolidum ſimilare genitum ex figura, CMSBP, dempto ſoli-
              <lb/>
            do ſimilari genito extrapezio, MBPC, ideſtin exemplo cylindrum
              <lb/>
            genitum ex reuolutione, HP, ad mediam baſem columnarem latam
              <lb/>
            genitam ex figura, MSBPC, dempto fruſto conico genito ex tra-
              <lb/>
            pezio, CMBP, eſſe vt quadratum, BP, adrectangulum ſub, AP,
              <lb/>
            & </s>
            <s xml:id="echoid-s6741" xml:space="preserve">ſub exceſſu duplæ, EI, ſuper, EF, vna cum, {1/3}, quadrati, BA.
              <lb/>
            </s>
            <s xml:id="echoid-s6742" xml:space="preserve">Ex quibus etiam facilè inueniri poteſt, quam rationem habeat ſoli-
              <lb/>
            dum ſimilare genitum ex figura, MSBPC, ad ſolidum ſimilare ge-
              <lb/>
            nitum ex trapezio, MBPC, .</s>
            <s xml:id="echoid-s6743" xml:space="preserve">i. </s>
            <s xml:id="echoid-s6744" xml:space="preserve">quam rationem habeat, in exemplo,
              <lb/>
            media baſis columnaris lata genita ex reuolutione, MXBPC, ad
              <lb/>
            fruſtum conicum genitum ex reuolutione trapezij, MBPC.</s>
            <s xml:id="echoid-s6745" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div655" type="section" level="1" n="384">
          <head xml:id="echoid-head401" xml:space="preserve">COROLL. XVII. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6746" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6747" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6748" xml:space="preserve">colligimus ſolidum ſimilare genitum ex figura, S
              <lb/>
            MNV, dempto ſolido ſimilari genito ex quadrilineo, MNV
              <lb/>
              <figure xlink:label="fig-0292-01" xlink:href="fig-0292-01a" number="185">
                <image file="0292-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0292-01"/>
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            T, ad ſolidum ſibi ſimilare
              <lb/>
            genitum ex figura, SBEG
              <lb/>
            T, demptis ſolidis ſimilari-
              <lb/>
            bus genitis ex trilineis, TV
              <lb/>
            G, GFE, eſſe vt portio, S
              <lb/>
            MT, ad portionem, SBE
              <lb/>
            GT, circuli, vel ellipſis, M
              <lb/>
            BEG; </s>
            <s xml:id="echoid-s6749" xml:space="preserve">ideſt in propoſito
              <lb/>
            exemplo, ſolidum, quod
              <lb/>
            generatur ex portione, SM
              <lb/>
            T, dum intelligimus, HF,
              <lb/>
            reuolui circa, NF, manentem axim, ad ſolidum, quod generatur ex
              <lb/>
            portione, SBEGT, erit vt portio, SMT, ad portionem, SBEGT.</s>
            <s xml:id="echoid-s6750" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div657" type="section" level="1" n="385">
          <head xml:id="echoid-head402" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s6751" xml:space="preserve">IN Corollario eiuſdem colligimus ſolida ſimilaria genita ex paral-
              <lb/>
            lelogrammis circa eoſdem axes, cum portionibus conſtitutos ad
              <lb/>
            ſolida ſibi ſimilaria genita ex eiſdem portionibus, eſſe vt dicta paral-
              <lb/>
            lelogramma ad dictas portiones. </s>
            <s xml:id="echoid-s6752" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6753" xml:space="preserve">in exemplo cylindrum, HO, 2
              <lb/>
            fruſtum anuli ſtricti reſectum ſuperficie deſeripta linea, ST, erit v
              <lb/>
            HV, ad portionem, SMT, & </s>
            <s xml:id="echoid-s6754" xml:space="preserve">item cylindrus, R ℟, deſcriptus a
              <unsure/>
            </s>
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