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

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              <pb o="420" file="0440" n="440" rhead="GEOMETRIÆ"/>
            beat cylindrus, FH, ad ſolidum, CBNH, quod vocetur: </s>
            <s xml:id="echoid-s10953" xml:space="preserve">Semiba-
              <lb/>
            ſis columnaris ſtricta hyperbolica: </s>
            <s xml:id="echoid-s10954" xml:space="preserve">Si verò dicta parallela ſit, HM,
              <lb/>
              <figure xlink:label="fig-0440-01" xlink:href="fig-0440-01a" number="302">
                <image file="0440-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0440-01"/>
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            patet in figura Corollarij
              <lb/>
            anteced. </s>
            <s xml:id="echoid-s10955" xml:space="preserve">quam rationem
              <lb/>
            habeat cylindrus, FQ, ad
              <lb/>
            ſolidum, CBOQ, quod vo-
              <lb/>
            cetur: </s>
            <s xml:id="echoid-s10956" xml:space="preserve">Semibaſis colum-
              <lb/>
            naris lata hyperbolica: </s>
            <s xml:id="echoid-s10957" xml:space="preserve">ſi
              <lb/>
            tandem ſit, RS, voluto, FS,
              <lb/>
            circa axim, RS, vt ex, FS,
              <lb/>
            fiat cylindrus, FH, & </s>
            <s xml:id="echoid-s10958" xml:space="preserve">ex fi-
              <lb/>
            gura, CBRS, ſolidum, CB
              <lb/>
            DH, quod vocetur: </s>
            <s xml:id="echoid-s10959" xml:space="preserve">Se-
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            mibaſis columnaris media
              <lb/>
            hyperbolica: </s>
            <s xml:id="echoid-s10960" xml:space="preserve">patet cylin-
              <lb/>
            drum, FH, ad ſemibaſim, CBDH, eſſe vt quadratum, CS, ad qua-
              <lb/>
            dratum, SE, quadratum, EI, & </s>
            <s xml:id="echoid-s10961" xml:space="preserve">rectangulum bis ſub, VE, ES, vt
              <lb/>
            & </s>
            <s xml:id="echoid-s10962" xml:space="preserve">ſolida ſimilaria ex eiſdem genita iuxta communẽ regulam, CS.</s>
            <s xml:id="echoid-s10963" xml:space="preserve"/>
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        <div xml:id="echoid-div996" type="section" level="1" n="593">
          <head xml:id="echoid-head618" xml:space="preserve">COROLLARIVM XVIII.</head>
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            <s xml:id="echoid-s10964" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10965" xml:space="preserve">18. </s>
            <s xml:id="echoid-s10966" xml:space="preserve">habetur, viſis proximis antecedentibus figuris, ſe-
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            m@anulum latuin hyperb@l@cum, CBDSOQ, ad ſemianulum
              <lb/>
            ſtrictum hyperbo icum, CBDNH, eſſe vt, CM, MD, ad, DC; </s>
            <s xml:id="echoid-s10967" xml:space="preserve">& </s>
            <s xml:id="echoid-s10968" xml:space="preserve">
              <lb/>
            ſic ſolida ſimilaria, &</s>
            <s xml:id="echoid-s10969" xml:space="preserve">c.</s>
            <s xml:id="echoid-s10970" xml:space="preserve"/>
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        <div xml:id="echoid-div997" type="section" level="1" n="594">
          <head xml:id="echoid-head619" xml:space="preserve">COROLL. XIX. SECTIO PRIOR.</head>
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            <s xml:id="echoid-s10971" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10972" xml:space="preserve">19. </s>
            <s xml:id="echoid-s10973" xml:space="preserve">habetur, viſa figura Corollarij 15. </s>
            <s xml:id="echoid-s10974" xml:space="preserve">conoidem hy-
              <lb/>
            perbo@icam genitam ex ſem@hyperbola, CBE, ad ſem@anulũ
              <lb/>
            @tr@ctum hyperbolicum, CBDNH, eſſe vt quadiatum, IE, ad re-
              <lb/>
            ctangulum ſub, CD, & </s>
            <s xml:id="echoid-s10975" xml:space="preserve">dupla, VE.</s>
            <s xml:id="echoid-s10976" xml:space="preserve"/>
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        <div xml:id="echoid-div998" type="section" level="1" n="595">
          <head xml:id="echoid-head620" xml:space="preserve">SECTIO POSTERIOR.</head>
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            <s xml:id="echoid-s10977" xml:space="preserve">VNde in Corollario colligitur eandem conoidem ad ſemianu-
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            lum latum hyperbolicum eſſe vt quadratum, EI, ad rectan-
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            gulum ſub compoſitæex, CM, MD, & </s>
            <s xml:id="echoid-s10978" xml:space="preserve">ſub dupla, VE, & </s>
            <s xml:id="echoid-s10979" xml:space="preserve">ſic ſoli-
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            da ſim@laria ex eiſdem figuris genita iuxta communem regulam,
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            CD.</s>
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