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

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            regulis aſſumamus iterum ipſas, OS, fp, eiſdem quoque æquidiſta-
              <lb/>
              <note position="left" xlink:label="note-0088-01" xlink:href="note-0088-01a" xml:space="preserve">Fuxta def.
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              10. huius.</note>
            bunt, ergo in eiſdem figuris habebimus etiam homologas alias ęqui-
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            diſtantes regulis quibuſcumque cum ipſis, OS, fp, angulos æqua-
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            les ad eandem partem continentibus, cum ergo ipſæ, GO, 8f, an-
              <lb/>
              <note position="left" xlink:label="note-0088-02" xlink:href="note-0088-02a" xml:space="preserve">Jmin s. 2</note>
            gulos æquales cum ipſis, OS, fp, ad eandem partem contineant,
              <lb/>
              <figure xlink:label="fig-0088-01" xlink:href="fig-0088-01a" number="46">
                <image file="0088-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0088-01"/>
              </figure>
            ideò omnium homologæ pa-
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            riter duabus, GO, 8f, tan-
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            quam nouis regulis ęquidiſta-
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            bunt, iſtis autem, quæ tan-
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            gunt ex vna parte figuras, G
              <lb/>
            FSO, 8 & </s>
            <s xml:id="echoid-s1746" xml:space="preserve">pf, ducantur ex
              <lb/>
            alia parte oppoſitæ tangen
              <lb/>
            tes, FD, & </s>
            <s xml:id="echoid-s1747" xml:space="preserve">℟, ita vt incidant
              <lb/>
            duę, GO, FD, plano, BD,
              <lb/>
            in punctis, O, D, & </s>
            <s xml:id="echoid-s1748" xml:space="preserve">duæ, 8
              <lb/>
            f, & </s>
            <s xml:id="echoid-s1749" xml:space="preserve">℟, plano, Q℟, in pun-
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            ctis, f, ℟, ſint autem iunctæ,
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            OD, f℟. </s>
            <s xml:id="echoid-s1750" xml:space="preserve">Similiter figurarum,
              <lb/>
            HMPL, VZdY, ſint ductę
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            oppoſitæ tangentes præfatis
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            regulis, GO, 8f, parallelæ,
              <lb/>
            planis, BD, Q℟, occurren-
              <lb/>
            tes in punctis, K, N; </s>
            <s xml:id="echoid-s1751" xml:space="preserve">ug, iun-
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            gantur autem, KN, ug, & </s>
            <s xml:id="echoid-s1752" xml:space="preserve">
              <lb/>
            ita cæterarum ſic producibi-
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            lium figurarum intelligantur
              <lb/>
            ductæ oppoſitæ tangentes ip-
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            ſis, GO, 8f, parallelæ, & </s>
            <s xml:id="echoid-s1753" xml:space="preserve">
              <lb/>
            productæ vſque ad plana, B
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            D, Q℟, punctaq; </s>
            <s xml:id="echoid-s1754" xml:space="preserve">occurſuum
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            iuncta rectis lineis, per qua-
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            rum omnium extrema tran.
              <lb/>
            </s>
            <s xml:id="echoid-s1755" xml:space="preserve">ſeant lineæ, BO, CD, Qf,
              <lb/>
            R℟. </s>
            <s xml:id="echoid-s1756" xml:space="preserve">Cum ergo, GO, 8f,
              <lb/>
            ſint homologarum regulæ, ac
              <lb/>
            oppoſitę tangentes figurarum
              <lb/>
            ſimilium, OGFS, f8 & </s>
            <s xml:id="echoid-s1757" xml:space="preserve">p,
              <lb/>
            incidant autem illis ad eun-
              <lb/>
            dem angulum ex eadem parte, OD, f℟, & </s>
            <s xml:id="echoid-s1758" xml:space="preserve">ſit, GO, ad, f8, vt, O
              <lb/>
            D, ad, f℟, ideo, OD, f℟, erunt incidentes ſimilium figurarum,
              <lb/>
              <note position="left" xlink:label="note-0088-03" xlink:href="note-0088-03a" xml:space="preserve">14. huius.</note>
            OGFS, f8&</s>
            <s xml:id="echoid-s1759" xml:space="preserve">p, & </s>
            <s xml:id="echoid-s1760" xml:space="preserve">oppoſitarum tangentium, GO, FD, 8f, & </s>
            <s xml:id="echoid-s1761" xml:space="preserve">
              <lb/>
            ℟. </s>
            <s xml:id="echoid-s1762" xml:space="preserve">Similiter in figuris, HMPL, VZdY, oſtendemus eſſe </s>
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