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

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            <s xml:id="echoid-s6877" xml:space="preserve">
              <pb o="279" file="0299" n="299" rhead="LIBER III."/>
            lutionem circa, CN. </s>
            <s xml:id="echoid-s6878" xml:space="preserve">Solida anularia ſtricta, patet ergo cylindrum
              <lb/>
            genitum ab, AN, ad ſolidum anulare ſtrictum genitum ex figura, B
              <lb/>
            DMO, quæcunque ſit, eſſe vt, AN, ad eandem figuram, BDM
              <lb/>
            O; </s>
            <s xml:id="echoid-s6879" xml:space="preserve">ſicq; </s>
            <s xml:id="echoid-s6880" xml:space="preserve">eſſe cætera ſolida ſimilaria genita ex his, iuxta ſumptamre.
              <lb/>
            </s>
            <s xml:id="echoid-s6881" xml:space="preserve">gulam ſiue, CN, ſiue, NE, vtrifq; </s>
            <s xml:id="echoid-s6882" xml:space="preserve">ſolidis communem.</s>
            <s xml:id="echoid-s6883" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div675" type="section" level="1" n="395">
          <head xml:id="echoid-head412" xml:space="preserve">COROLLARIVM XXVII.</head>
          <p>
            <s xml:id="echoid-s6884" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6885" xml:space="preserve">30. </s>
            <s xml:id="echoid-s6886" xml:space="preserve">colligimus ſolidum ſimilare genitum ex, AF, dem-
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            pto ſolido ſimilari genito ex, CF, ad ſolidum ſimilare genitum
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            ex figura, HBDMF, dempto ſolido ſimilari genito ex figura, HB
              <lb/>
            OMF, eſſe vt, AN, ad figuram, BDMO. </s>
            <s xml:id="echoid-s6887" xml:space="preserve">Aſſumatur hic illius fi-
              <lb/>
              <figure xlink:label="fig-0299-01" xlink:href="fig-0299-01a" number="194">
                <image file="0299-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0299-01"/>
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            gura, & </s>
            <s xml:id="echoid-s6888" xml:space="preserve">pro noſtro exemplo
              <lb/>
            ſupponatur, AF, eſſe rectan-
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            gulum, reuoluaturq; </s>
            <s xml:id="echoid-s6889" xml:space="preserve">circa ma-
              <lb/>
            nentem axim, HF, cylindrus
              <lb/>
            ergo genitus ex, AF, dempto
              <lb/>
            cylindro genito ex, CF, ad ſo-
              <lb/>
            lidum genitum in reuolutione
              <lb/>
            ex figura, BDMO, erit vt, A
              <lb/>
            N, ad, BDMO; </s>
            <s xml:id="echoid-s6890" xml:space="preserve">ſolida autem
              <lb/>
            genita ex figuris inſcriptis re-
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            ctangulo, BDMO, cum con-
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            ditionibus ibirequiſitisvocabi-
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            mus communiter: </s>
            <s xml:id="echoid-s6891" xml:space="preserve">Solida anu-
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            laria lata; </s>
            <s xml:id="echoid-s6892" xml:space="preserve">eadem patent de cę-
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            teris ſolidis ſimilaribus genitis
              <lb/>
            ex, AN, & </s>
            <s xml:id="echoid-s6893" xml:space="preserve">figura, BDMO, etiamſi, AF, non ſit rectangulum,
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            quia tunc intelligo fieri generationem ſolidorum per deſcriptionem
              <lb/>
            ſimilium figumrum, & </s>
            <s xml:id="echoid-s6894" xml:space="preserve">non per reuolutionem, vt in exemplo ſolito
              <lb/>
            aſſumpſi, vnde patet, &</s>
            <s xml:id="echoid-s6895" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6896" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div677" type="section" level="1" n="396">
          <head xml:id="echoid-head413" xml:space="preserve">COROLLARIVM XXVIII.</head>
          <head xml:id="echoid-head414" xml:space="preserve">SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6897" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6898" xml:space="preserve">32. </s>
            <s xml:id="echoid-s6899" xml:space="preserve">docemur ſolidum ſimilare genitum ex, AR, ad ſo-
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            lidum ſibi ſimilare genitum ex figura, BCGRMD, demptis
              <lb/>
            ſolidis ſimilaribus genitis ex trilineis, BCG, GRM, eſſe vt, </s>
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