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

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            <s xml:id="echoid-s6685" xml:space="preserve">
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            HF, ad circulum, vel ellipſim, MB, EG. </s>
            <s xml:id="echoid-s6686" xml:space="preserve">Reuoluatur, HO, cir-
              <lb/>
            ca manentem axem, CO, modo ſuprad cto, ex, HO, igitur fiet cy-
              <lb/>
            lindrus, H ℟, & </s>
            <s xml:id="echoid-s6687" xml:space="preserve">ex figura, CMBEO, fiet quoddam ſolidum ſimi-
              <lb/>
            lare prædicto cylindro, auferatur à cylindro, H ℟, cylindrus, NL,
              <lb/>
            defcriptus ab, NO, & </s>
            <s xml:id="echoid-s6688" xml:space="preserve">à prædicto ſolido ſimilari auferatur ſolidum
              <lb/>
            ſimilare genitum ex figura, MGEOC. </s>
            <s xml:id="echoid-s6689" xml:space="preserve">Dico nos iam compertum
              <lb/>
            habere reſiduum primum. </s>
            <s xml:id="echoid-s6690" xml:space="preserve">i. </s>
            <s xml:id="echoid-s6691" xml:space="preserve">faſciam ſolidam cylindricam (vtita di-
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              <figure xlink:label="fig-0290-01" xlink:href="fig-0290-01a" number="184">
                <image file="0290-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0290-01"/>
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            cam) HFLK, ad reſiduum ſecundum, ad ſolidum, inquam, quod
              <lb/>
            gignitur ex reuolutione circuli, vel ellipſis, MBEG, effe vt, HF,
              <lb/>
            ad ipſum circulum, vel ellipſim, MBEG; </s>
            <s xml:id="echoid-s6692" xml:space="preserve">quod etiam patet de re-
              <lb/>
            fiduis quorumlibet ſimilarium ſolidorum ex, HO, & </s>
            <s xml:id="echoid-s6693" xml:space="preserve">figura, MBE
              <lb/>
            OC, genitorum, demptis ſolidis ſimilaribus genitis ex, NO, & </s>
            <s xml:id="echoid-s6694" xml:space="preserve">fi-
              <lb/>
            gura, MGEOC, vt ſupra diximus. </s>
            <s xml:id="echoid-s6695" xml:space="preserve">Vocetur autem ſolidum, quod
              <lb/>
            in ſupradicto exemplo, & </s>
            <s xml:id="echoid-s6696" xml:space="preserve">figura gignitur ex reuolutione circuli, vel
              <lb/>
            ellipſis, MBEG, Anulus latus circularis, ſi, MBEG, ſit circulus,
              <lb/>
            vel, Anulus latus ellipticus, ſi, MBEG, ſit ellipſis.</s>
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          <head xml:id="echoid-head396" xml:space="preserve">COROLL. XV. SECTIO PRIMA.</head>
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            <s xml:id="echoid-s6698" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6699" xml:space="preserve">17. </s>
            <s xml:id="echoid-s6700" xml:space="preserve">colligitur ſolidum ſimilare genitum ex, HF, ad fo-
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            lidum ſimilare genitum ex figura, NMBEF, eſſe vt, HF, ad
              <lb/>
            circulum, vel ellipſim, MBEG, vna cum reſiduo, quod remanet,
              <lb/>
            ſi à rectangulo, MG, dematur quarta circuli, vel ellipſis, MAG,
              <lb/>
            ablato inſimul exceſſu, quo eadem quarta ſuperat duas tertias rectan-
              <lb/>
            guli, MG. </s>
            <s xml:id="echoid-s6701" xml:space="preserve">Conſpiciatur ergo exemplum in figura Coroll. </s>
            <s xml:id="echoid-s6702" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6703" xml:space="preserve">huius,
              <lb/>
            patebit ergo cylindrum, H ℟, ad ſolidum genitum ex figura, NM
              <lb/>
            BEF, habere ſupradictam rationem, que eſt proximè, vt 21. </s>
            <s xml:id="echoid-s6704" xml:space="preserve">ad 17.
              <lb/>
            </s>
            <s xml:id="echoid-s6705" xml:space="preserve">vt in Propof. </s>
            <s xml:id="echoid-s6706" xml:space="preserve">17. </s>
            <s xml:id="echoid-s6707" xml:space="preserve">huius oſtenditur. </s>
            <s xml:id="echoid-s6708" xml:space="preserve">Vocetur autem ſolidum </s>
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