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

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          <p>
            <s xml:id="echoid-s6826" xml:space="preserve">
              <pb o="277" file="0297" n="297" rhead="LIBER III."/>
            ponatur hic vtraq; </s>
            <s xml:id="echoid-s6827" xml:space="preserve">portio, quæ reuoluantur ſemel circa, FM, & </s>
            <s xml:id="echoid-s6828" xml:space="preserve">ſe-
              <lb/>
            mel circa, RV, pateb tergo, quam rationem habeat, Malum citrium
              <lb/>
            ad ſegmentum ſphæræ genitum ab eadem portione circuli, & </s>
            <s xml:id="echoid-s6829" xml:space="preserve">quam
              <lb/>
            habeat Oliua ad ſegmentum ſphęroidis genitum ex eadem portione.</s>
            <s xml:id="echoid-s6830" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div670" type="section" level="1" n="392">
          <head xml:id="echoid-head409" xml:space="preserve">COROLLARIVM XXIV.</head>
          <p>
            <s xml:id="echoid-s6831" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6832" xml:space="preserve">27. </s>
            <s xml:id="echoid-s6833" xml:space="preserve">aſſumitur iterum fig. </s>
            <s xml:id="echoid-s6834" xml:space="preserve">Theor. </s>
            <s xml:id="echoid-s6835" xml:space="preserve">21. </s>
            <s xml:id="echoid-s6836" xml:space="preserve">tum circuli, tum el-
              <lb/>
            lipſis, & </s>
            <s xml:id="echoid-s6837" xml:space="preserve">nunc, jſdem figuris hicappoſitis, colligimus ſolidum ſi-
              <lb/>
            milare genitum ex portione, TCFEY, tuxta regulam, FI, ad ſolidum
              <lb/>
            fibi ſimilare genitum ex eadem portione, iuxta regulam, TY, eſſe, in
              <lb/>
            fig. </s>
            <s xml:id="echoid-s6838" xml:space="preserve">circul, vt cylindr cum ſub, IM, & </s>
            <s xml:id="echoid-s6839" xml:space="preserve">portione, TCFEY, vna cum, {1/6},
              <lb/>
            cubi, TY, ad parallelepipedum ſub altitudine, FI, baſiverò rectangulo
              <lb/>
            ſub, FI, & </s>
            <s xml:id="echoid-s6840" xml:space="preserve">ſub ſexquitertia duarum, IH, HN. </s>
            <s xml:id="echoid-s6841" xml:space="preserve">In ellipſis verò fig. </s>
            <s xml:id="echoid-s6842" xml:space="preserve">habe-
              <lb/>
            re rationem cõpoſitam ex ea, quam habet cylindricus ſub, IM, & </s>
            <s xml:id="echoid-s6843" xml:space="preserve">por-
              <lb/>
              <figure xlink:label="fig-0297-01" xlink:href="fig-0297-01a" number="192">
                <image file="0297-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0297-01"/>
              </figure>
            tione, TCFEY, vna cum ea
              <lb/>
            parte cubi, TY, vel parallelep-
              <lb/>
            pedi, ſub, RV, & </s>
            <s xml:id="echoid-s6844" xml:space="preserve">rhombo, RZ,
              <lb/>
            ad quam eiuſdem cubi, vel pa-
              <lb/>
            rallelepipedi ſexta pars ſit, vt
              <lb/>
            quadratũ, CE, ad quadratum,
              <lb/>
            FH, ad parallelepipedum ſub
              <lb/>
            altitudine, CE, baſi parallelo-
              <lb/>
            grammo, AG, in fig. </s>
            <s xml:id="echoid-s6845" xml:space="preserve">Th. </s>
            <s xml:id="echoid-s6846" xml:space="preserve">6. </s>
            <s xml:id="echoid-s6847" xml:space="preserve">& </s>
            <s xml:id="echoid-s6848" xml:space="preserve">
              <lb/>
            ex ea, quã habet quadratum, F
              <lb/>
            H, ad rectangulum ſub, FI, & </s>
            <s xml:id="echoid-s6849" xml:space="preserve">
              <lb/>
            ſub ſexquitertia duarum, IH,
              <lb/>
            HN. </s>
            <s xml:id="echoid-s6850" xml:space="preserve">Pro noſtro igitur exem-
              <lb/>
            plo reuoluantur portiones, T
              <lb/>
            CFEY, ſemel circa axes ma-
              <lb/>
            nentes, TY, & </s>
            <s xml:id="echoid-s6851" xml:space="preserve">ſemel circa axes
              <lb/>
            manentes, FI; </s>
            <s xml:id="echoid-s6852" xml:space="preserve">ex reuolutione
              <lb/>
            igitur facta à portione circuli
              <lb/>
            circa, TY, fit, Malum Roſeum,
              <lb/>
            ex reuolutione verò eiuſdẽ cir-
              <lb/>
            ca, FI, fit maius ſegmentum
              <lb/>
            ſphæræ: </s>
            <s xml:id="echoid-s6853" xml:space="preserve">Item ex reuolutione
              <lb/>
            facta à portione ellipſi, TCFE
              <lb/>
            Y, fit, malum cotoneum, circa
              <lb/>
            axim, TY, ex reuolutione verò eiuſdem circa, FI, fit maius ſegmentum
              <lb/>
            ſphæroidis: </s>
            <s xml:id="echoid-s6854" xml:space="preserve">Igicur malum roſeum ad ſegmentum maius ſphæræ, & </s>
            <s xml:id="echoid-s6855" xml:space="preserve">
              <lb/>
            malum cotoneum ad ſegmentum maius ſphæroidis iam dictum, ha-
              <lb/>
            bent ſupradictam rationem, vt & </s>
            <s xml:id="echoid-s6856" xml:space="preserve">ſolida ſimilaria, &</s>
            <s xml:id="echoid-s6857" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6858" xml:space="preserve"/>
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