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

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              <pb o="12" file="0032" n="32" rhead="GEOMETRIÆ"/>
            alias, Ω Δ RQ, cum prædictis angulos æquales continentes, ℟
              <lb/>
            Ω Δ, PRQ, proregulis homolog arum accipiemus, hoc .</s>
            <s xml:id="echoid-s470" xml:space="preserve">n. </s>
            <s xml:id="echoid-s471" xml:space="preserve">fieri
              <lb/>
            pθſſe demonſtrabitur in Prop. </s>
            <s xml:id="echoid-s472" xml:space="preserve">23. </s>
            <s xml:id="echoid-s473" xml:space="preserve">buius, quę erunt cum planis, Δ
              <lb/>
            Υ, QK, concurrentes. </s>
            <s xml:id="echoid-s474" xml:space="preserve">Siergo ducantur prædictarum ſimilium
              <lb/>
              <figure xlink:label="fig-0032-01" xlink:href="fig-0032-01a" number="8">
                <image file="0032-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0032-01"/>
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            figurarum, β λ, HE, Σ Φ, CM, oppoſitæ tangentes, parallelæ
              <lb/>
            regulis, Ω Δ, RQ, ex. </s>
            <s xml:id="echoid-s475" xml:space="preserve">g. </s>
            <s xml:id="echoid-s476" xml:space="preserve">ſiguræ, β Λ, oppoſitæ tangentes, β Τ,
              <lb/>
            Λ S, &</s>
            <s xml:id="echoid-s477" xml:space="preserve">, HE, ipſæ, HD, EI, &</s>
            <s xml:id="echoid-s478" xml:space="preserve">, Σ Φ, ipſæ, Σ Ο, Φ V, & </s>
            <s xml:id="echoid-s479" xml:space="preserve">tan-
              <lb/>
            demipſius, CM, ipſæ, CN, MG, quæ productæ ſi opus ſit, oc-
              <lb/>
            currant planis, Δ Υ, QK, inpunctis, T, S; </s>
            <s xml:id="echoid-s480" xml:space="preserve">OV; </s>
            <s xml:id="echoid-s481" xml:space="preserve">D, I; </s>
            <s xml:id="echoid-s482" xml:space="preserve">N, G;
              <lb/>
            </s>
            <s xml:id="echoid-s483" xml:space="preserve">iungantur autem, TS, OV, DI, NG, et ipſęreperiantur eſſe
              <lb/>
            incidentes ſimilium figurarum, β λ, HE, Σ Φ, CM, et dicta-
              <lb/>
            rum oppoſitarum tangentium.</s>
            <s xml:id="echoid-s484" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s485" xml:space="preserve">Conſimiliter, ſectis eiſdem ſolidis alijs planis dictis planis tan-
              <lb/>
            gentibus paralle@is, altitudine ſque dictas ſimiliter ad candem,
              <lb/>
            partem ſecantibus, ſemper conceptæ in ſolidis figuræ ſint ſimiles,
              <lb/>
            velbinę ſimiles, &</s>
            <s xml:id="echoid-s486" xml:space="preserve">c. </s>
            <s xml:id="echoid-s487" xml:space="preserve">& </s>
            <s xml:id="echoid-s488" xml:space="preserve">earumdem homologarum oppoſitę tangen-
              <lb/>
            t
              <unsure/>
            es parallelę pręfatis regulis, Ω Δ, RQ, ſint productę vſque ad
              <lb/>
            plana, Δ Υ, QK; </s>
            <s xml:id="echoid-s489" xml:space="preserve">occurrantque illis in punctis, quę ſiiungan-
              <lb/>
            tur rectis lineis, ipſę iungentes ſint dictarum ſimilium ſigurarum,
              <lb/>
            & </s>
            <s xml:id="echoid-s490" xml:space="preserve">ductarum oppoſitarum tangētium ſemper incidentes, quæ om-
              <lb/>
            nes iaceantin planis, Δ Υ, QK, per quarum extrema tranſeant
              <lb/>
            lineę, ΧVΥΤ, FGKD, et interius lineæ, 4 N 6 I, 7085,
              <lb/>
            & </s>
            <s xml:id="echoid-s491" xml:space="preserve">conting at figuras, ΧVΥΤ, FGKD, eſſe ſimiles, earumque
              <lb/>
            homologas dictas incidentes, & </s>
            <s xml:id="echoid-s492" xml:space="preserve">ipſarum regulas eſſe communes
              <lb/>
            ſectiones planorum, in quibus iacent, & </s>
            <s xml:id="echoid-s493" xml:space="preserve">oppoſitorum </s>
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