Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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              <pb o="127" file="0147" n="147" rhead="LIBER II."/>
            grammi, AE, ſimiles, inquam, figuræ deſcriptæ à, DE, ad omnes
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            figuras ſimiles parallelogrammi, EC, ſimiles, inquam, figuræ de-
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            ſcriptæ ab, EF, quod oſtendere opus erat.</s>
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        <div xml:id="echoid-div320" type="section" level="1" n="197">
          <head xml:id="echoid-head212" xml:space="preserve">COROLLARIVM.</head>
          <p style="it">
            <s xml:id="echoid-s2970" xml:space="preserve">_H_Inc in figura Propoſ. </s>
            <s xml:id="echoid-s2971" xml:space="preserve">II. </s>
            <s xml:id="echoid-s2972" xml:space="preserve">colligemus omnes figuras ſimiles pàral-
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            lelogrammi, AD, ad omnes figuras ſimiles parallelogrammi, F
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            M, etiam tamen diſſimiles prædictis, habere rationem compoſitam ex ra-
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            tione figurarum, quæ à baſibus, CD, GM, deſcribuntur, & </s>
            <s xml:id="echoid-s2973" xml:space="preserve">altitudi-
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            num, vel laterum æqualiter baſibus inclinatorum; </s>
            <s xml:id="echoid-s2974" xml:space="preserve">quia omnes figuræ ſi-
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            miles, AD, ad omnes figuras ſimiles, FM, diſſimiles prædictis, ha-
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            bent rationem compoſitam ex ea, quam habent omnes figuræ ſimiles, A
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              <note position="right" xlink:label="note-0147-01" xlink:href="note-0147-01a" xml:space="preserve">_Defin. 12._
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              _lib. 1._</note>
            D, ad omnes figuras ſimiles, FM, ideſt compoſitam ex ratione figuræ de-
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            ſcriptæ à, CD, ad ſibi ſimilem figuram deſcriptam à, GM, & </s>
            <s xml:id="echoid-s2975" xml:space="preserve">ex ra-
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              <note position="right" xlink:label="note-0147-02" xlink:href="note-0147-02a" xml:space="preserve">_Corol. 11._
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              _huius._</note>
            tione, BV, ad, ON, vel, BD, ad, OM, cum ſunt parallelogramma
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            æquiangula, & </s>
            <s xml:id="echoid-s2976" xml:space="preserve">eſt compoſita ex ratione omnium figurarum ſimilium, F
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            M, ad omnes figuras ſimiles ipſius, FM, diſſimiles tamen proximè di-
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            ctis, quæ eſt eadem ei, quam habet figura, GM, ſimiles figuræ, CD ad
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              <note position="right" xlink:label="note-0147-03" xlink:href="note-0147-03a" xml:space="preserve">_Ex ſuper,_
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              _Prop._</note>
            figuram, GM, vltimò deſcriptam, duæ verò rationes figuræ CD, ad fi-
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            guram, GM, ſibi ſimilem, & </s>
            <s xml:id="echoid-s2977" xml:space="preserve">huius ad figuram, GM, ſibi diſſimilem,
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              <note position="right" xlink:label="note-0147-04" xlink:href="note-0147-04a" xml:space="preserve">_Defin. 12._
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              _lib. 1._</note>
            componunt rationem figuræ, CD, ad figuram, GM, ſibi diſſimilem, & </s>
            <s xml:id="echoid-s2978" xml:space="preserve">
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            ideò habebimus omnes figuras ſimiles, AD, ad omnes figuras ſimiles ip.
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            </s>
            <s xml:id="echoid-s2979" xml:space="preserve">ſius, FM, diſſimiles tamen prædictis habere rationem compoſitam ex
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            ea, quam habet figura ipſius, CD, ad figuram, GM, ſibi diſſimilem, & </s>
            <s xml:id="echoid-s2980" xml:space="preserve">
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            ex ea, quam habet, BV, ad, ON, vel, BD, ad, OM, cum parallelo-
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            gramma ſunt æquiangula. </s>
            <s xml:id="echoid-s2981" xml:space="preserve">Conſimili methado in figura Propoſ. </s>
            <s xml:id="echoid-s2982" xml:space="preserve">12. </s>
            <s xml:id="echoid-s2983" xml:space="preserve">col-
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            ligemus omnes parallelogrammi, HX, figuras ſimiles, omnibus figuris
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            ſimilibus parallelogrammi, AD, etiamſi prædictis ſint diſſimiles, eſſe
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            tamen æquales; </s>
            <s xml:id="echoid-s2984" xml:space="preserve">Et ſi ſint æquales, figuras deſcriptas ab, VX, BD, li-
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            cet diſſimiles, altitudinibus, CO, RZ, vel lateribus, CD, RX, baſi-
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            bus æqualiter inclinatis, reciprocè reſpondere.</s>
            <s xml:id="echoid-s2985" xml:space="preserve"/>
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        <div xml:id="echoid-div322" type="section" level="1" n="198">
          <head xml:id="echoid-head213" xml:space="preserve">THEOREMA XV. PROPOS. XV.</head>
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            <s xml:id="echoid-s2986" xml:space="preserve">OMNES figuræ planæ ſimiles ſunt inter ſe in dupla
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            ratione linearum, ſiue laterum homologorum, ea-
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            rundem.</s>
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