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

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              <pb o="423" file="0443" n="443" rhead="LIBER V."/>
            ſic eſſe quodlibet ſolidum ſimilare genitum ex, FC, demptis ſoli-
              <lb/>
            dis ſimilaribus genitis ex oppoſitis hypeibolis, FAD, EVC, ad @o-
              <lb/>
            lidum ſibi ſimilare genitum ex, TN, demptis ſolidis ſimilaribus
              <lb/>
            genitis ex oppoſitis hyperbolis, TAY, MVN, iuxta communem
              <lb/>
            regulam, EC.</s>
            <s xml:id="echoid-s11038" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1008" type="section" level="1" n="602">
          <head xml:id="echoid-head627" xml:space="preserve">COROLLARIVM XXIV.</head>
          <p>
            <s xml:id="echoid-s11039" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s11040" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11041" xml:space="preserve">expoſita eius figura, &</s>
            <s xml:id="echoid-s11042" xml:space="preserve">, vt fiat exemplum, ea
              <lb/>
            circa axem, XL, reuoluta, vt ex figura, EV@DAF, fiat tyin-
              <lb/>
            panum hyperbolicum, EVCDAF, & </s>
            <s xml:id="echoid-s11043" xml:space="preserve">ex figura, MVNYAT, fiat
              <lb/>
              <figure xlink:label="fig-0443-01" xlink:href="fig-0443-01a" number="306">
                <image file="0443-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0443-01"/>
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            tympanum hyperbolicum,
              <lb/>
            MVNYAT, patet tympa-
              <lb/>
            num, EVCDAF, ad tympa-
              <lb/>
            num, MVNYAT, eſſe vt
              <lb/>
            parallelep pedum ſub, XL,
              <lb/>
            & </s>
            <s xml:id="echoid-s11044" xml:space="preserve">quadrato, RZ, cum duplo
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            quadrati, AV, ad parallele
              <lb/>
            pipedum ſub, HG, & </s>
            <s xml:id="echoid-s11045" xml:space="preserve">qua
              <lb/>
            drato, B@, cum duplo qua-
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            drati, AV; </s>
            <s xml:id="echoid-s11046" xml:space="preserve">& </s>
            <s xml:id="echoid-s11047" xml:space="preserve">ſic eſſe quod-
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            libet ſolidum ſim@lare genitũ
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            ex figura, EVCDAF, ad ſibi ſimilare genitum ex figura, MVNY
              <lb/>
            AT, iuxta communem regulam, CD.</s>
            <s xml:id="echoid-s11048" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1010" type="section" level="1" n="603">
          <head xml:id="echoid-head628" xml:space="preserve">COROLLARIVM XXV.</head>
          <p>
            <s xml:id="echoid-s11049" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s11050" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11051" xml:space="preserve">viſa figura anteced. </s>
            <s xml:id="echoid-s11052" xml:space="preserve">Coroll in qua ex triangulis,
              <lb/>
            QOP, IOK, geniti ſint coni opooſiti, QOP, IOK, & </s>
            <s xml:id="echoid-s11053" xml:space="preserve">ex trian-
              <lb/>
            gulis, ΠΟΩ, ℟O&</s>
            <s xml:id="echoid-s11054" xml:space="preserve">, coni oppoſiti. </s>
            <s xml:id="echoid-s11055" xml:space="preserve">ΠΟΩ, ℟O&</s>
            <s xml:id="echoid-s11056" xml:space="preserve">, patet tympanu,
              <lb/>
            EVCDAF, demptis con@s, QOP, IOK, ad tympanum, MVNYA
              <lb/>
            T, demptis conis, ΠΟΩ ℟O&</s>
            <s xml:id="echoid-s11057" xml:space="preserve">, eſſe vt, XL, ad, HG; </s>
            <s xml:id="echoid-s11058" xml:space="preserve">& </s>
            <s xml:id="echoid-s11059" xml:space="preserve">ſic eſſe ſo-
              <lb/>
            lidum ſimilare genitum ex figura, EV@DAF, demptis ſolidis ſimi-
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            laribus genitis ex triangulis, QOP, IOk, ad ſolidum ſimilare geni-
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            tum ex figura, TAYNVM, demptis ſolidis ſimilaribus genitis ex
              <lb/>
            triangulis, &</s>
            <s xml:id="echoid-s11060" xml:space="preserve">O℟, Ω@Π, @uxta communem regulam, AV.</s>
            <s xml:id="echoid-s11061" xml:space="preserve"/>
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        <div xml:id="echoid-div1011" type="section" level="1" n="604">
          <head xml:id="echoid-head629" xml:space="preserve">COROLLARIVM XXVI.</head>
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            <s xml:id="echoid-s11062" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s11063" xml:space="preserve">26. </s>
            <s xml:id="echoid-s11064" xml:space="preserve">viſis figuris Corollarij 23. </s>
            <s xml:id="echoid-s11065" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11066" xml:space="preserve">& </s>
            <s xml:id="echoid-s11067" xml:space="preserve">ſuppoſito, FC,
              <lb/>
            eſſe idem parallelogrammum, in vunq; </s>
            <s xml:id="echoid-s11068" xml:space="preserve">figuris pate@ </s>
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