Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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in planis æquidiſt antibus, ita conſtitutæ, vtipſæincidentes, EG,
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Q℟, ſint vel ſuperpoſitæ adinuicem, vel parallelæ, & </
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<
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gæ, BI, SD, LT, XP, ad eandem partem ipſarum, EG, Q℟,
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& </
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<
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">partes homologæ incidentium (per dictas homologas, produ-
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ctas, ſi opusſit, ſimiliter ad eandem partem dtuiſarum) fuerint
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pariter adeandem partem conſtitutæ, tunc voco figuras, ABC
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D, KLγP, nedum ſimiles, ſedetiam ſimiliter poſitas.</
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">Sint nunc quetcumque figuræ planæ in eodem plano vtcumque
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diſpoſitæ, ABCD, ΟRΩV, & </
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">aliæ tot numero in quouis plano,
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KLγP, Ζ9βΣ, quæbinæ ſint ſimiles, ſcilicet, ABCD, ipſi,
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KLγP, &</
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<
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">, ΟRΩV, tpſi, Ζ9βΣ, quarum omnium homologæ
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duabus quibuſdam reperiantur æquidiſtantes, ſint autem reſpe-
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ctu ipſarum, quibus dictæ homologæ æquidistant, ductæ in figu-
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ris, ABCD, KLγP, oppoſitæ tangentes, AE, CG, KQ, γ
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℟, & </
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">in figuris, ΟRΩV, Ζ9βΣ, oppoſitæ tangentes, OH, Ω
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M, ΖΓ, βΛ, quæ tangentes eruntregulæ homologarum ſimilium
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figurarum iam dictarum; </
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">Sint deinde incidentes duarum ex di-
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ctis ſimilibus figuris vtcumq; </
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oppoſitarum tangentium, AE, CG, ipſæ, EG, Q℟, quæ pro-
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ducantur vſque ad extremas tangentes, SM, βΛ, quibus inci-
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dant in punctis, M, Λ, reperiamus autem integras, EM, QΛ,
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ſimiliter ad eandem partem ſecaritum à tangentibus, CG, γ℟,
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tum ab, OH, ΖΓ, & </
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<
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">inſuper portiones, HM, ΓΛ, eſſe etiam
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incidentes oppoſitarum tangentium, OH, ΩΜ, ΖΓ, βΛ, & </
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ſimilium figurarum, ΟRΩV, Ζ9β;</
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ſunt incidentes oppoſitarum tangentium, AE, CG, KQ, γR,
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& </
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<
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<
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guras voco binas ſimiles, & </
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">vnas, ſcilicet ipſas, ABCD, OR
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ΩV, ſimiliter, ac alias inter ſe diſpoſitas, ideſt vtipſæ, KLγP,
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Ζ9βΣ, & </
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">earum, ac extremarum tangentium, AE, ΩΜ, K
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Q, βΛ, ipſas, EM, QΛ, voco etiam incidentes.</
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<
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">SImiles figuræ ſolidæ, vel ſimilia ſolida, in vniuerſum
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vocentur, in quorum ſingulis oppofita plana tangen-
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tia ita duci poſſunt, & </
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gulum ex eadem parte duo plana in ijſdem terminata, vt </
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