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

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            <s xml:id="echoid-s7028" xml:space="preserve">
              <pb o="289" file="0309" n="309" rhead="LIBER IV."/>
            guli, ad portionem parabolæ dicto parallelogrammo inſcri-
              <lb/>
            ptam ratio nota erit.</s>
            <s xml:id="echoid-s7029" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7030" xml:space="preserve">Sit parabola, cuius baſis, FG, ad axim, vel diametrum, CX, or-
              <lb/>
            dinatim applicata; </s>
            <s xml:id="echoid-s7031" xml:space="preserve">ad baſim autem, FG, ſit etiam ordinatim appli-
              <lb/>
            cata, AN, vtcunq; </s>
            <s xml:id="echoid-s7032" xml:space="preserve">diuidens baſim, FG, in puncto, N, ſiat autem
              <lb/>
            parallelogrammum, RN, & </s>
            <s xml:id="echoid-s7033" xml:space="preserve">triangulum, AFN, ſublateribus, A
              <lb/>
            N, NF, vel ſub, AN, NG; </s>
            <s xml:id="echoid-s7034" xml:space="preserve">Vel ſint duæ vtcunque ad baſim, FG,
              <lb/>
            ordinatim applicatæ, AN, CX, ſiat autem parallelogrammum, & </s>
            <s xml:id="echoid-s7035" xml:space="preserve">
              <lb/>
            triangulum ſub, AN, NX, vel ſub, CX, XN. </s>
            <s xml:id="echoid-s7036" xml:space="preserve">Dico parallelogram-
              <lb/>
              <figure xlink:label="fig-0309-01" xlink:href="fig-0309-01a" number="203">
                <image file="0309-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0309-01"/>
              </figure>
            mum, RN, veltrian-
              <lb/>
            gulum, FAN, ad
              <lb/>
            portionem, AFN,
              <lb/>
            parabole, FCG, pa-
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            rallelogrammo, RN,
              <lb/>
            inſcriptam, eſſe in ra-
              <lb/>
            tione nota. </s>
            <s xml:id="echoid-s7037" xml:space="preserve">Similiter
              <lb/>
            parallelogrammum,
              <lb/>
            ZX, & </s>
            <s xml:id="echoid-s7038" xml:space="preserve">triangulum,
              <lb/>
            NCX, ad portio-
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            nem, ACXN, habe-
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            re rationem notam.
              <lb/>
            </s>
            <s xml:id="echoid-s7039" xml:space="preserve">Producatur, CX, vt-
              <lb/>
            cunque in, E, & </s>
            <s xml:id="echoid-s7040" xml:space="preserve">cir-
              <lb/>
            ca ſemiaxes, vel ſemi-
              <lb/>
            diametros coniuga-
              <lb/>
            tas, FX, XE, intel-
              <lb/>
            ligatur deſcriptus ſe-
              <lb/>
            micirculus, velſemi-
              <lb/>
            ellipſis, FEG, pro-
              <lb/>
            ducantur deinde, RF, ZN, indeſinitè, ſecetque, ZN, curuam ſe-
              <lb/>
            micirculi, vel ſemiellipſis, FEG, in puncto, O, & </s>
            <s xml:id="echoid-s7041" xml:space="preserve">compleantur pa-
              <lb/>
            rallelogramma, VN, RX, ſumatur deindein, FN, vtcunq; </s>
            <s xml:id="echoid-s7042" xml:space="preserve">pun-
              <lb/>
            ctum, S, per quodipſi, CE, parallela ducatur, YT, ſecans curnam
              <lb/>
            parabolæ in, I, curuam autem, FEG, in, M; </s>
            <s xml:id="echoid-s7043" xml:space="preserve">eſt ergo, AN, ad, I
              <lb/>
              <note position="right" xlink:label="note-0309-01" xlink:href="note-0309-01a" xml:space="preserve">Exantec.</note>
            S, vt rectangulum, GNF, ad rectangulum, GSF, eſt autem etiam
              <lb/>
              <note position="right" xlink:label="note-0309-02" xlink:href="note-0309-02a" xml:space="preserve">40. Et
                <lb/>
              Sch. 1. 1.</note>
            quadratum, ON, ad quadratum, SM, vt rectangulum, GNF, ad
              <lb/>
            rectangulum, GSF, ergo, AN, vel, YS, ad, SI, erit vt quadra
              <lb/>
            tum, NO, vel vt quadratum, TS, ad quadratum, SM, ſunt au-
              <lb/>
            tem, RN, NV, parallelogramma in eiſdem baſibus, & </s>
            <s xml:id="echoid-s7044" xml:space="preserve">altitudini-
              <lb/>
              <note position="right" xlink:label="note-0309-03" xlink:href="note-0309-03a" xml:space="preserve">Coroll.3.
                <lb/>
              26. lib. 2.</note>
            bus cum portionibus, AFN, NFO, & </s>
            <s xml:id="echoid-s7045" xml:space="preserve">punctum, S, ſumptum eſt
              <lb/>
            vtcunque, repertumque eſt, vt, YS, ad, SI, ita eſſe quadratum, </s>
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