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

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              <pb o="437" file="0457" n="457" rhead="LIBER VI."/>
              <figure xlink:label="fig-0457-01" xlink:href="fig-0457-01a" number="315">
                <image file="0457-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0457-01"/>
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            ducatur ad, S, deinde exponatur triangulum rectangulum, OQR,
              <lb/>
            cuius latus, OQ, circa rectum, OQR, ſit æquale ipſi, AE, &</s>
            <s xml:id="echoid-s11341" xml:space="preserve">, QR,
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            circumferentiæ, SME, & </s>
            <s xml:id="echoid-s11342" xml:space="preserve">compleatur rectangulum, QZ, abſcin-
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            datur autem, OX, æqualis, AV, & </s>
            <s xml:id="echoid-s11343" xml:space="preserve">per, X, ducatur, XY, parallela,
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            RE, ſecans, ZR, in, Y, &</s>
            <s xml:id="echoid-s11344" xml:space="preserve">, OR, in, N, & </s>
            <s xml:id="echoid-s11345" xml:space="preserve">vertice, O, per punctum,
              <lb/>
              <note position="right" xlink:label="note-0457-01" xlink:href="note-0457-01a" xml:space="preserve">20.l.4.,</note>
            R, deſcribatur ſemiparabola, RGO, circa axem, OZ, quam ſecet,
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            YX, in, G, & </s>
            <s xml:id="echoid-s11346" xml:space="preserve">per, G, agatur, GB, parallela, OQ, incidens ipſi, ZO,
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            in, B. </s>
            <s xml:id="echoid-s11347" xml:space="preserve">Quoniam ergo quadratum, ZR, ad quadratum, BG, eſt
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              <note position="right" xlink:label="note-0457-02" xlink:href="note-0457-02a" xml:space="preserve">38. & Sc.
                <lb/>
              40.l.1.</note>
            vt, ZO, ad, OB, ideò, RQ, ad, GX, erit vt quadratum, QO, ad
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            quadratum, OX, ideſt vt quadratum, EA, ad quadratum, AV, ſed
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            ſic etiam eſt circumferentia, ESM, ad circumferentiam, ITV, ete-
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            nim ad eam habet rationem compoſitam ex ratione circumferẽ-
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            tiæ, ESM, ad circumferentiam, IVT, ideſt ex ea, quam habet, EA,
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              <note position="right" xlink:label="note-0457-03" xlink:href="note-0457-03a" xml:space="preserve">C. Cor. 2.
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              3. huius.</note>
            ad, AV, & </s>
            <s xml:id="echoid-s11348" xml:space="preserve">ex ratione circumferentiæ, IVT, ad circumferentiam,
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            ITV, ideſt circumferentiæ, MSE, ad circumferentiam, SME, ideſt
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            ex ratione, EA, ad, AI, vel ad, AV, duæ verò rationes, EA, ad, A
              <lb/>
              <note position="right" xlink:label="note-0457-04" xlink:href="note-0457-04a" xml:space="preserve">7. huius.</note>
            V, componunt rationem quadrati, EA, ad quadratum, AV, ergo
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              <note position="right" xlink:label="note-0457-05" xlink:href="note-0457-05a" xml:space="preserve">E 23. Sex.
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              Elem.</note>
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