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

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        <div xml:id="echoid-div670" type="section" level="1" n="392">
          <pb o="278" file="0298" n="298" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div672" type="section" level="1" n="393">
          <head xml:id="echoid-head410" xml:space="preserve">COROLLARIVM XXV.</head>
          <p>
            <s xml:id="echoid-s6859" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6860" xml:space="preserve">28. </s>
            <s xml:id="echoid-s6861" xml:space="preserve">aſſumitur adhuc antecedentis figura, hic autem
              <lb/>
            colligimus nos, ſuperiores aſpicientes figuras pro noſtro exem-
              <lb/>
            plo, ſolidum ſimilare genitum ex portione circuli, vel ellipſis, TC
              <lb/>
            FEY, ad ſolidum ſimilare genitum ex circulo, velellipſi, iuxta com-
              <lb/>
            munem regulam, FH, (comparatis tamen genitis vel ambo ex ijs,
              <lb/>
            quæ ſunt circuli, vel ex ijs, quæ ſunt ipſius ellipſis) eſſe vt cylindri-
              <lb/>
            cum ſub altitudine, MI, baſi portione, TCFEY, vna cum, {1/6}, cu-
              <lb/>
            bi, TY, (quod tamen ſolum in circuli figu a contingit) in figura au-
              <lb/>
            tem ellipſis illud commutamus in hoc. </s>
            <s xml:id="echoid-s6862" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s6863" xml:space="preserve">vna cum ea parte cubi, TY,
              <lb/>
            vel parallelepipedi ſub, RV, & </s>
            <s xml:id="echoid-s6864" xml:space="preserve">rhombo, RZ, ad quam eiuſdem cu-
              <lb/>
            bi, vel parallelepipedi ſexta pars ſit, vt quadratum primi axis ad qua-
              <lb/>
            dratum ſecundi ad, {2/3}, parallelepipedi ſub, AD, & </s>
            <s xml:id="echoid-s6865" xml:space="preserve">parallelogram-
              <lb/>
            mo, AQ,. </s>
            <s xml:id="echoid-s6866" xml:space="preserve">i. </s>
            <s xml:id="echoid-s6867" xml:space="preserve">in figura circuli, ad, {2/3}, cubi, FH. </s>
            <s xml:id="echoid-s6868" xml:space="preserve">Dictam igitur ra-
              <lb/>
            tionem in ſuprapoſitis exemplis habet Malum Roſeum, ad ſphęram
              <lb/>
            genitam ex circulo, ex cuius portione maiori Malum Roſeum dici-
              <lb/>
            tur genitum iuxta regulam, FH; </s>
            <s xml:id="echoid-s6869" xml:space="preserve">& </s>
            <s xml:id="echoid-s6870" xml:space="preserve">eandem habet Malum Coto-
              <lb/>
            neum ad ſphæroides genitum ex ellipſi reuoluta circa axem, CE, pa-
              <lb/>
            rallelam axi, TY, circa quem reuoluitur portio, TCFEY, ad ge-
              <lb/>
            nerandum Malum Cotoneum, quam rationem pariter diximus ha-
              <lb/>
            bere ſupradicta ſimilaria ſolida, &</s>
            <s xml:id="echoid-s6871" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6872" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div673" type="section" level="1" n="394">
          <head xml:id="echoid-head411" xml:space="preserve">COROLLARIVM XXVI.</head>
          <p>
            <s xml:id="echoid-s6873" xml:space="preserve">IN Propoſit. </s>
            <s xml:id="echoid-s6874" xml:space="preserve">29. </s>
            <s xml:id="echoid-s6875" xml:space="preserve">habetur ſolidum ſimilare genitum ex, AN, ad
              <lb/>
              <figure xlink:label="fig-0298-01" xlink:href="fig-0298-01a" number="193">
                <image file="0298-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0298-01"/>
              </figure>
            ſolidum ſimilare genitum ex figu-
              <lb/>
            ra, CBDMN, demptis ſolidis ſimila-
              <lb/>
            ribus genitis ex trilineis, ſiue figuris, B
              <lb/>
            CO, ONM, eſſe vt, AN, ad figuram,
              <lb/>
            BDMO. </s>
            <s xml:id="echoid-s6876" xml:space="preserve">Apponatur hie illa figura,
              <lb/>
            &</s>
            <s xml:id="echoid-s6877" xml:space="preserve">, vt fiat noſtrum exemplum, reuol-
              <lb/>
            uatur, AN, quod ſupponamus eſſe pa-
              <lb/>
            rallelogrammum rectangulum conue-
              <lb/>
            nienter ipſi reuolutioni, circa axim, C
              <lb/>
            N, manentem, fiet igitur ex, AN, cy-
              <lb/>
            lindrus, ex reuolutione verò figuræ, B
              <lb/>
            DMO, fiet ſolidum totupliciter varia-
              <lb/>
            bile, quotupliciter figura, BDMO,
              <lb/>
            variari poteſt, vocabimus autem ſolida
              <lb/>
            genita à figuris inſcriptis rectangulo, AN, genita inquam per </s>
          </p>
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