Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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              <pb o="496" file="0516" n="516" rhead="GEOMETRIE"/>
              <figure xlink:label="fig-0516-01" xlink:href="fig-0516-01a" number="346">
                <image file="0516-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0516-01"/>
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            laru n in vnaquaq; </s>
            <s xml:id="echoid-s12640" xml:space="preserve">figura, 5Δ&</s>
            <s xml:id="echoid-s12641" xml:space="preserve">, 5&</s>
            <s xml:id="echoid-s12642" xml:space="preserve">ΣΤ, integræ omnes, ſicut
              <lb/>
            contingere ſuppoſuimus in fruſtis, QΦR, 7R Ω6, ergo cum, QΦR,
              <lb/>
              <note position="left" xlink:label="note-0516-01" xlink:href="note-0516-01a" xml:space="preserve">En antec.
                <lb/>
              Lem.</note>
            5Δ&</s>
            <s xml:id="echoid-s12643" xml:space="preserve">, ſint figuræ etiam æqualiter analogæ, inter ſe æquales erunt:
              <lb/>
            </s>
            <s xml:id="echoid-s12644" xml:space="preserve">Eadem ratione patebit fruſtum, 7RΩ6, æquari figuræ, S&</s>
            <s xml:id="echoid-s12645" xml:space="preserve">ΣΤ, er-
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            go fruſta, QΦR, 7RΩ6, ſimul ſumpta æquabuntur figuræ, Τ5βΔΣ,
              <lb/>
            ſed & </s>
            <s xml:id="echoid-s12646" xml:space="preserve">figuram, 76D, ipſi, EST, adæquari, necnon, ΦΚΩ, ipſi, ΔL
              <lb/>
              <note position="left" xlink:label="note-0516-02" xlink:href="note-0516-02a" xml:space="preserve">Ex antec.
                <lb/>
              Lem.</note>
            Σ, pariter adęquari manifeſtum eſt, cum ſint figuræ æqualiter ana-
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            logæ, & </s>
            <s xml:id="echoid-s12647" xml:space="preserve">portiones parallelarum ipſi, GM, in eiſdem conceptarũ
              <lb/>
            integræ ſint, ergo tota figura, DQK, toti, ΕβL, æqualis erit. </s>
            <s xml:id="echoid-s12648" xml:space="preserve">Cõ-
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            ſimili modo in figura, BHIC, ducentes rectas lineas ipſi, GM, pa-
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            rallelas, nempè, O2, P3, quibusipſa diſtinguatur in fruſta, capien-
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            tia dictas parallelarum portiones integras ſcilicet in fruſta, BON,
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            CN2, PH4, 4I3, OP32, PH4, 4I3, eaſdem, O2, P3, producentes
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            vt ſecent ambitum figuræ, EYL, velutin, T, X, ℟Υ, deſcriptiſq;
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            </s>
            <s xml:id="echoid-s12649" xml:space="preserve">lineis, EV, ZL, vt fuit deſcripta, 5Γ&</s>
            <s xml:id="echoid-s12650" xml:space="preserve">, vt conſtituatur figura@, ET
              <lb/>
              <note position="left" xlink:label="note-0516-03" xlink:href="note-0516-03a" xml:space="preserve">Ex autec.
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              Lem.</note>
            V, æqualiter analoga fruſto, CN2, (ex quo remanet, EVX, æqua-
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            liter analoga ipſi, BON,) & </s>
            <s xml:id="echoid-s12651" xml:space="preserve">figura, Ζ℟L, ęqualiter analoga ipſi,
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            4I3. </s>
            <s xml:id="echoid-s12652" xml:space="preserve">(ex quo, ZLY, remanet etiam æqualiter analoga ipſi, PH4,)
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            cum in his captę parallelarum dictæ portiones integræ ſint, mani-
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            feſtum erit fig. </s>
            <s xml:id="echoid-s12653" xml:space="preserve">ETV, æquari ipſi, CN2, EVX, ipſi, BON, Ζ℟L,
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            ipſi, 4I3, ZLY, ipſi, PH4, & </s>
            <s xml:id="echoid-s12654" xml:space="preserve">tandem, ΧΤ℟Υ, ipſi, OP32, ex quo
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            concludemus figuram, BHIC, æquari ipſi, EYL, hoc eſt ipſi, ΕβL,
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            ſed eidem,, ΕβL, oſtenſa eſt æqualis etiam, DQK, ergo figuræ, B
              <lb/>
            HIC, DQK, inter ſe æquales erunt, igitur quæcumq; </s>
            <s xml:id="echoid-s12655" xml:space="preserve">planæ figu-
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            ræ æqualiter analogæ inter ſe æquales erunt, quod oſtendendum
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            erat. </s>
            <s xml:id="echoid-s12656" xml:space="preserve">Per hæc autem priori parti Propoſ. </s>
            <s xml:id="echoid-s12657" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12658" xml:space="preserve">huius iam ſatisfactum
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            eſſe manifeſtum eſt.</s>
            <s xml:id="echoid-s12659" xml:space="preserve"/>
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