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

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          <p>
            <s xml:id="echoid-s3859" xml:space="preserve">
              <pb o="163" file="0183" n="183" rhead="LIBER II."/>
            quilatera figuræ, BCE, eſſe, vt omnes circuli, BF, ad omnia po-
              <lb/>
            lygona vniſimilia figuræ, BEF.</s>
            <s xml:id="echoid-s3860" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3861" xml:space="preserve">Eodem modo fiet demonſtratio, ſi vice iſtarum aliæ aſſumantur
              <lb/>
            figuræ planæ, quarum poſſunt etiam, quæ ſunt duarum figurarum
              <lb/>
            eſſe ſimiles, vt ſi comparentur omnia quadrata parallelogrammo-
              <lb/>
            rum, AE, ED, & </s>
            <s xml:id="echoid-s3862" xml:space="preserve">omnia triangula &</s>
            <s xml:id="echoid-s3863" xml:space="preserve">ae;</s>
            <s xml:id="echoid-s3864" xml:space="preserve">quilatera figurarum, BCE,
              <lb/>
            BEF, vel ſi comparentur omnia quadrata, AE, & </s>
            <s xml:id="echoid-s3865" xml:space="preserve">figuræ, BCE,
              <lb/>
            & </s>
            <s xml:id="echoid-s3866" xml:space="preserve">omnia triangula &</s>
            <s xml:id="echoid-s3867" xml:space="preserve">ae;</s>
            <s xml:id="echoid-s3868" xml:space="preserve">quilatera, BF, & </s>
            <s xml:id="echoid-s3869" xml:space="preserve">figuræ, B E F; </s>
            <s xml:id="echoid-s3870" xml:space="preserve">poteſt etiam
              <lb/>
            eſſe omnium quatuor figurarum omnes figuras eſſe ſimiles, vt ſi com-
              <lb/>
            parentur omnia quadrata eorundem, vel omnes circuli, &</s>
            <s xml:id="echoid-s3871" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3872" xml:space="preserve">patet
              <lb/>
            autem hic demonſtrationem currere quotieſconque ea, quæ compa-
              <lb/>
            rantur ſunt eiuſdem generis .</s>
            <s xml:id="echoid-s3873" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s3874" xml:space="preserve">vel lineæ, vel ſuperficies, ſi verò con-
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            tingat magnitudines diuerſi generis comparari, vt ſi compararentur
              <lb/>
            omnes lineæ, AE, & </s>
            <s xml:id="echoid-s3875" xml:space="preserve">figuræ, BCE, & </s>
            <s xml:id="echoid-s3876" xml:space="preserve">omnia quadrata, BF, & </s>
            <s xml:id="echoid-s3877" xml:space="preserve">fi-
              <lb/>
            gurę, BEF, tunc quia &</s>
            <s xml:id="echoid-s3878" xml:space="preserve">a4; </s>
            <s xml:id="echoid-s3879" xml:space="preserve">permutata ratione non poſſumus argumen-
              <lb/>
            tari, cum lineam ſuperficiei comparare ſit abſurdum, ideò demon-
              <lb/>
            ſtratio pro his non currit, quapropter aliud Theorema pro hoc ſut-
              <lb/>
            iungemus.</s>
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        <div xml:id="echoid-div409" type="section" level="1" n="249">
          <head xml:id="echoid-head264" xml:space="preserve">THE OREMA XXVI. PROPOS. XXVI.</head>
          <p>
            <s xml:id="echoid-s3881" xml:space="preserve">IN eadem antecedentis Propoſ. </s>
            <s xml:id="echoid-s3882" xml:space="preserve">figura ſi comparentur ma-
              <lb/>
            gnitudines diuerſi generis, adhuc comparatæ magnitu-
              <lb/>
            dines erunt proportionales.</s>
            <s xml:id="echoid-s3883" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3884" xml:space="preserve">Comparentur ex. </s>
            <s xml:id="echoid-s3885" xml:space="preserve">gr.
              <lb/>
            </s>
            <s xml:id="echoid-s3886" xml:space="preserve">
              <figure xlink:label="fig-0183-01" xlink:href="fig-0183-01a" number="106">
                <image file="0183-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0183-01"/>
              </figure>
            omnes lineæ, AE, re-
              <lb/>
            gula, CE, ad omnes li-
              <lb/>
            neas fi uræ, BCE, & </s>
            <s xml:id="echoid-s3887" xml:space="preserve">
              <lb/>
            omnia quadrata, BF,
              <lb/>
            regula, EF, ad omnia
              <lb/>
            quadrata figurę, BEF,
              <lb/>
            ita vt ducta vtcunq. </s>
            <s xml:id="echoid-s3888" xml:space="preserve">ipſi,
              <lb/>
            CF, paraliela, MQ,
              <lb/>
            reperiamus, MO, ad,
              <lb/>
            OI, eſſe vt quadratum,
              <lb/>
            QO, ad quadratum, O
              <lb/>
            P. </s>
            <s xml:id="echoid-s3889" xml:space="preserve">Dieo adhuc omnes
              <lb/>
            lineas, AE, ad omnes
              <lb/>
            lineas figurę, BCE, eſ-
              <lb/>
            ſe vt omnia quadrata, B
              <lb/>
            F, ad omnia quadrata figurę, BEF; </s>
            <s xml:id="echoid-s3890" xml:space="preserve">ponatur ſeorſim </s>
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