Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ ſpatio, ad circulum eiuſdem numeri, eſt vt compoſitum ex
rectangulo ſub radio eiuſdem circuli, & ſub radio circuli
vnitate minoris, vna cum 3. parte quad. differentiæ vtri-
uſq; radij, ad quadratum maioris radij prædictorum.

Sit quicunq; circulus, CDFB, ſpatium eiuſdem numeri cum eo,
quod cõtinetur ſub ſpirali, GMSIB, & voluta, GB; circulus vnita-
te minor ipſæ, Ya HG. Dico ſpatium dictum ad circulum, BCD
F, eſſe vt rectangulum, BAG, cum tertia parte quadrati, GB, ad
quadratum, AB. Exponatur triangulus, LPQ, rectum habens an-
gulum ad, P, cuius latus, LP, ſit æquale ipſi, AB, & latus, PQ,
æquale compoſito ex tot circumferentijs circuli, CDFB, quot ra-
dij primi circuii ſunt in, AB, deinde intra triangulum, LPQ, ver-
tice, L, deſcripta ſit parabola, cuius curua tranſeat per, Q, quæ
ſit, LΩQ, ita vt, LP, ſit eandem tangens in, L, & ſecans paralle-
la axi ipſa, QP, abſcindatur deinde ab, LP, recta, Lβ, æqualis ipſi-

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