Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

LIBER I. periuntur, ſiue binæ ſimiles, & vnæ, ac aliæ ſimiliter inter
ſe diſpoſitæ, vocentur: Figuræ homologæ dictorum ſimi-
lium ſolidorum, ſumptæ regula vna ipſarum, vel oppoſito-
rum tangentium, quæ homologarum figurarum plana tan-
gentia, ſi libeat, etiam vocentur.

42.1.

D.Def.2.
A.E. Def.
10.

43. APPENDIX POSTERIOR
Pro declaratione Definit. II.

_S_Int ſolida, Γ β 3 Φ, AHBM, quorum ſint oppoſita tangen-
tia plana, Δ ℟ Ζ & , ſolidi, Γ β 3 Φ, & , QP, L Π, ſθ-
lidi, AHBM, ſint autem alia duo plana, quæ iſtis incidant ad
eundem angulum ex eadem parte, Δ Υ QK, illa nempè quo-
rum, et dictorum tangentium ſint communes ſictiones, ΔΧ Ζ
Τ, QF, LK, ſecentur nunc dicta ſolida planis tangentibus pa-
rallelis, quæ diuidant eorum altitudinesreſpectu duitorum tan-
gentium ſump@as ſimiliter ad eandem partem: Sint autem eo-
rum in dictis ſolidis conceptæ ſiguræ planæ ſimiles, ſivna in vno
quoq; ſolido figura producantur, velſiplures, binæ ſimiles, et fi-
militer inter ſe diſpoſitæ, quæ fiunt in vno, ac quæ fiunt in alio ſo-
lido, ex. g. ipſæ, β Λ, Σ Φ, HE, CM, quæ ſint binæ ſimiles, ideſt,
β Λ, ipſi, HE, & , Σ Φ, ipſi, CM, & , β λ, Σ Φ, ſimiliter inter
ſe diſpoſitæ, ac ipſæ, HE, CM, quarum ſimilium figurarum bo-
mologæ duabus quibuſcumque regulis, vt ipſis, ℟ Ω, PR, æqui-
dicto [?] nt; vel ſihæ non ſint cum planis, Δ Υ, QK, concurrentes,

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