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

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8363LIBER I. L, ad, RT, vel vt, GΠ, ad, RZ, ſunt enim & ipſæ, GL, RT,
ſimiliter ad eandem partem ſectę in punctis, Π, Z, nam ſimiliter ſe-
cantur ac, FC, PO, in punctis, Λ, Γ, ergo etiam reliqua, I Π, ad,
QZ, erit vt tota, GΠ, ad totam, RZ, ideſt vt, FC, ad, PO. Eo-
dem modo oſtendemus, ΠH, ad, ZS, eſſe vt, FC, ad, PO, er-
go, IΠ, ad, QZ, erit vt, ΠH, ad, ZS, & permutando, IΠ, ad,
ΠH, erit vt, QZ, ad, ZS, ſunt ergo latera homologa, IH, QS,
ſimiliter ad eandem partem ſecta à præfatis planis, quod eodem mo-
do de quibuſcumq; homologis lateribus, quæ contingat dictis planis
ſecari, pariter oſtendemus, hoc verò demonſtrare propoſitum fuit.

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