# Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

Sint igitur parallelogramma, AM, MC, in eadem altitudine. Di-
quadratum, MH. Sit intra parallelogramma, AM, MC, ducta
vtcunque, DI, parallela ipſi, GH, cuius portio, DE, maneat in,
AM, & , EI, in, BH, quoniam ergo, D
E, eſt æqualis ipſi, GM, figurę autem pla-
næ ſimiles deicriptæ à lateribus, vel lineis
homologis æqualibus ſunt æquales, & ideò
cunq; ducta eſt parallela ipſi, GH, ideò, vt vnum ad vnum, ita om-
parallelogrammi, MC, regula, GH, quod erat oſtendendum.

A. Deſ. 8.
huius.
25. lib. 1.
Coroll. 4.
huius.

## 187.COROLLARIVM.

_H_Inc patet, ſi vice quadratorum ſumamus alias quaſcunque figuras
ſimiles, quod eodem pacto oſtendemus omnes figuras ſimiles pa-
rallelogrammi, AM, ad omnes ſimiles figuras parallelogrammi, MC,
vt ex. gr. omnes circutos parallelogrammi, AM, ad omnes circulos pa-
rallelogrammi, MC, eſſe vt ſimiles ſiguras ab ipſis b ſibus, GM, MH,
d@ſcriptas, nam fi uræ planæ ſimiles quæcunq; vt dictum eſt, deſcriptæ à
lateribus, vel lineis homologis æqualibus ſunt æquales; omnibus pari-
ter aſſumptis figuris ſimilibus, regula eadem, GH.

_A. Def. 8._
_huius._
_25. lib. 1._

## 188.THEOREMA X. PROPOS. X.

quadrata, regula ipſa baſi, ſunt vt altitudines, vel vt la-
tera, quę æqualiter baſi ſunt inclinata, ſi illa ſint ęquiangula.

parallelogrammi, BD, regula, CD, eſſe vt, AO, ad, CN, vel
etiam vt, AC, ad, CB, ſi parallelogramma, BD, DA, fuerint æ-
quiangula, producantur autem, CA, CB, indefinitè ad partes op-

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