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

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8363LIBER I. L, ad, RT, vel vt, , 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, , ad totam, RZ, ideſt vt, FC, ad, PO.
Eo-
dem
modo oſtendemus, ΠH, ad, ZS, eſſe vt, FC, ad, PO, er-
go
, , ad, QZ, erit vt, ΠH, ad, ZS, &
permutando, , 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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