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

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              <figure xlink:label="fig-0460-01" xlink:href="fig-0460-01a" number="317">
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            uam parabolæ in punctis, I, K, L, per quæ ipſi, HG, parallelæ
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            ducantur, XQ, YKT, ZLV, ſecantes, FG, in punctis, Q, T, V, di-
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            co, FG, per hæc ſecari in partes æquales, nam, HG, ad, GT, ha-
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            betrationem compoſitam ex ea, quam habet, HG, ad, IQ, &</s>
            <s xml:id="echoid-s11379" xml:space="preserve">, IQ,
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            ad, ΓG, ſed, AG, ad, IQ, eſt vt quadratum, GF, ad quadratum, F
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            Q, &</s>
            <s xml:id="echoid-s11380" xml:space="preserve">, IQ, ad, ΓG, vt, QF, ad, FG, ideſt vt quadratum, QF, ad
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            rectangulum, QFG, ergo, HG, ad, GT, habebit rationem com-
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              <note position="left" xlink:label="note-0460-01" xlink:href="note-0460-01a" xml:space="preserve">Defin, 12.
                <lb/>
              l. 1.</note>
            poſitam ex ea, quam habet quadratum, GF, ad quadratum, FQ, & </s>
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            quadratum, FQ, ad rectangulum, QFG, quæ erit eadem ei, quam
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              <note position="left" xlink:label="note-0460-02" xlink:href="note-0460-02a" xml:space="preserve">Coroll. 1.
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              l. 4.</note>
            habet quadratum, GF, ad rectangulum, GFQ, ideſt ei, quam ha-
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            bet, GF, ad, FQ, igitur, HG, ad, GT, erit vt, GF, ad, FQ, eodem
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              <note position="left" xlink:label="note-0460-03" xlink:href="note-0460-03a" xml:space="preserve">4. Sexti
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              Elem.
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              5. l. 2.</note>
            modo oſtendemus, HG, ad, GΠ. </s>
            <s xml:id="echoid-s11382" xml:space="preserve">eſſe vt, GF, ad, FT, & </s>
            <s xml:id="echoid-s11383" xml:space="preserve">HG, ad,
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            GP, vt, GF, ad, FV, vnde, FG, diuiſa erit in partes æquales; </s>
            <s xml:id="echoid-s11384" xml:space="preserve">ha-
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              <note position="left" xlink:label="note-0460-04" xlink:href="note-0460-04a" xml:space="preserve">Defin. 12.
                <lb/>
              l. 1.</note>
            bemus ergo ſpatio, FLHG, circumſcriptam figuram ex triangu-
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            lo, FIQ, & </s>
            <s xml:id="echoid-s11385" xml:space="preserve">ex trapezijs, KQ, LT, HV; </s>
            <s xml:id="echoid-s11386" xml:space="preserve">compoſitam, & </s>
            <s xml:id="echoid-s11387" xml:space="preserve">aliam in-
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              <note position="left" xlink:label="note-0460-05" xlink:href="note-0460-05a" xml:space="preserve">5. l. 2.</note>
            ſcriptam ex trapezijs, PV, OT, NQ, compoſitam, & </s>
            <s xml:id="echoid-s11388" xml:space="preserve">exceſlus </s>
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