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

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          <p>
            <s xml:id="echoid-s415" xml:space="preserve">
              <pb o="9" file="0029" n="29" rhead="LIBERI."/>
            in planis æquidiſt antibus, ita conſtitutæ, vtipſæincidentes, EG,
              <lb/>
            Q℟, ſint vel ſuperpoſitæ adinuicem, vel parallelæ, & </s>
            <s xml:id="echoid-s416" xml:space="preserve">homolo-
              <lb/>
            gæ, BI, SD, LT, XP, ad eandem partem ipſarum, EG, Q℟,
              <lb/>
            & </s>
            <s xml:id="echoid-s417" xml:space="preserve">partes homologæ incidentium (per dictas homologas, produ-
              <lb/>
            ctas, ſi opusſit, ſimiliter ad eandem partem dtuiſarum) fuerint
              <lb/>
            pariter adeandem partem conſtitutæ, tunc voco figuras, ABC
              <lb/>
              <note position="right" xlink:label="note-0029-01" xlink:href="note-0029-01a" xml:space="preserve">_D.Def.10._</note>
            D, KLγP, nedum ſimiles, ſedetiam ſimiliter poſitas.</s>
            <s xml:id="echoid-s418" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s419" xml:space="preserve">Sint nunc quetcumque figuræ planæ in eodem plano vtcumque
              <lb/>
            diſpoſitæ, ABCD, ΟRΩV, & </s>
            <s xml:id="echoid-s420" xml:space="preserve">aliæ tot numero in quouis plano,
              <lb/>
            KLγP, Ζ9βΣ, quæbinæ ſint ſimiles, ſcilicet, ABCD, ipſi,
              <lb/>
            KLγP, &</s>
            <s xml:id="echoid-s421" xml:space="preserve">, ΟRΩV, tpſi, Ζ9βΣ, quarum omnium homologæ
              <lb/>
              <note position="right" xlink:label="note-0029-02" xlink:href="note-0029-02a" xml:space="preserve">_C.Def.10._</note>
            duabus quibuſdam reperiantur æquidiſtantes, ſint autem reſpe-
              <lb/>
            ctu ipſarum, quibus dictæ homologæ æquidistant, ductæ in figu-
              <lb/>
            ris, ABCD, KLγP, oppoſitæ tangentes, AE, CG, KQ, γ
              <lb/>
              <note position="right" xlink:label="note-0029-03" xlink:href="note-0029-03a" xml:space="preserve">_B. Def. 10._</note>
            ℟, & </s>
            <s xml:id="echoid-s422" xml:space="preserve">in figuris, ΟRΩV, Ζ9βΣ, oppoſitæ tangentes, OH, Ω
              <lb/>
            M, ΖΓ, βΛ, quæ tangentes eruntregulæ homologarum ſimilium
              <lb/>
            figurarum iam dictarum; </s>
            <s xml:id="echoid-s423" xml:space="preserve">Sint deinde incidentes duarum ex di-
              <lb/>
              <note position="right" xlink:label="note-0029-04" xlink:href="note-0029-04a" xml:space="preserve">_B.Def.10._</note>
            ctis ſimilibus figuris vtcumq; </s>
            <s xml:id="echoid-s424" xml:space="preserve">vt ipſarum, ABCD, KLγP, & </s>
            <s xml:id="echoid-s425" xml:space="preserve">
              <lb/>
            oppoſitarum tangentium, AE, CG, ipſæ, EG, Q℟, quæ pro-
              <lb/>
            ducantur vſque ad extremas tangentes, SM, βΛ, quibus inci-
              <lb/>
            dant in punctis, M, Λ, reperiamus autem integras, EM, QΛ,
              <lb/>
            ſimiliter ad eandem partem ſecaritum à tangentibus, CG, γ℟,
              <lb/>
            tum ab, OH, ΖΓ, & </s>
            <s xml:id="echoid-s426" xml:space="preserve">inſuper portiones, HM, ΓΛ, eſſe etiam
              <lb/>
            incidentes oppoſitarum tangentium, OH, ΩΜ, ΖΓ, βΛ, & </s>
            <s xml:id="echoid-s427" xml:space="preserve">
              <lb/>
            ſimilium figurarum, ΟRΩV, Ζ9β;</s>
            <s xml:id="echoid-s428" xml:space="preserve">Σ, velutiipſæ, EG, Q℟,
              <lb/>
            ſunt incidentes oppoſitarum tangentium, AE, CG, KQ, γR,
              <lb/>
            & </s>
            <s xml:id="echoid-s429" xml:space="preserve">ſimilium figurarum, ABCD, KLγP. </s>
            <s xml:id="echoid-s430" xml:space="preserve">Tunc igitur has fi-
              <lb/>
            guras voco binas ſimiles, & </s>
            <s xml:id="echoid-s431" xml:space="preserve">vnas, ſcilicet ipſas, ABCD, OR
              <lb/>
            ΩV, ſimiliter, ac alias inter ſe diſpoſitas, ideſt vtipſæ, KLγP,
              <lb/>
            Ζ9βΣ, & </s>
            <s xml:id="echoid-s432" xml:space="preserve">earum, ac extremarum tangentium, AE, ΩΜ, K
              <lb/>
            Q, βΛ, ipſas, EM, QΛ, voco etiam incidentes.</s>
            <s xml:id="echoid-s433" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div46" type="section" level="1" n="40">
          <head xml:id="echoid-head50" xml:space="preserve">A. XI.</head>
          <p>
            <s xml:id="echoid-s434" xml:space="preserve">SImiles figuræ ſolidæ, vel ſimilia ſolida, in vniuerſum
              <lb/>
            vocentur, in quorum ſingulis oppofita plana tangen-
              <lb/>
            tia ita duci poſſunt, & </s>
            <s xml:id="echoid-s435" xml:space="preserve">in eadem ita incidere ad eundem an-
              <lb/>
            gulum ex eadem parte duo plana in ijſdem terminata, vt </s>
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