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

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460440GEOMETRIÆ317[Figure 317] uam parabolæ in punctis, I, K, L, per quæ ipſi, HG, parallelæ
ducantur, XQ, YKT, ZLV, ſecantes, FG, in punctis, Q, T, V, di-
co, FG, per hæc ſecari in partes æquales, nam, HG, ad, GT, ha-
betrationem compoſitam ex ea, quam habet, HG, ad, IQ, & , IQ,
ad, ΓG, ſed, AG, ad, IQ, eſt vt quadratum, GF, ad quadratum, F
Q, & , IQ, ad, ΓG, vt, QF, ad, FG, ideſt vt quadratum, QF, ad
rectangulum, QFG, ergo, HG, ad, GT, habebit rationem com-
11Defin, 12.
l. 1. poſitam ex ea, quam habet quadratum, GF, ad quadratum, FQ, &
quadratum, FQ, ad rectangulum, QFG, quæ erit eadem ei, quam
22Coroll. 1.
l. 4. habet quadratum, GF, ad rectangulum, GFQ, ideſt ei, quam ha-
bet, GF, ad, FQ, igitur, HG, ad, GT, erit vt, GF, ad, FQ, eodem
334. Sexti
Elem.
5. l. 2. modo oſtendemus, HG, ad, GΠ. eſſe vt, GF, ad, FT, & HG, ad,
GP, vt, GF, ad, FV, vnde, FG, diuiſa erit in partes æquales; ha-
44Defin. 12.
l. 1. bemus ergo ſpatio, FLHG, circumſcriptam figuram ex triangu-
lo, FIQ, & ex trapezijs, KQ, LT, HV; compoſitam, & aliam in-
555. l. 2. ſcriptam ex trapezijs, PV, OT, NQ, compoſitam, & exceſlus

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