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

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

Table of contents

[31.] VIII.

[32.] IX.

[33.] SCHOLIVM.

[34.] A. X.

[35.] B.

[36.] C.

[37.] D. IV.

[38.] E.

[39.] APPENDIX PRIOR Pro explicatione Definit. 10. antecedentis.

[40.] A. XI.

[41.] B.

[42.] C.

[43.] APPENDIX POSTERIOR Pro declaratione Definit. II.

[44.] SCHOLIVM.

[45.] XII.

[46.] XIII.

[47.] XIV.

[48.] XV.

[49.] POSTVLATA I.

[50.] II.

[51.] PROBLEMA I. PROPOS. 1.

[52.] COROLLARIVM.

[53.] PROBLEMA II. PROPOS. II.

[54.] PROBLEMA III. PROPOS. III.

[55.] SCHOLIVM.

[56.] THEOREMA I. PROPOS. IV.

[57.] COROLLARIVM I.

[58.] COROLLARIVM II.

[59.] THEOREMA II. PROPOS. V.

[60.] THEOREMA III. PROPOS. VI.

3111LIBER I. periuntur, ſiue binæ ſimiles, & vnæ, ac aliæ ſimiliter inter
11A.E. Def.
10. 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.

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-
22_B. Def. 2._ 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

7[Figure 7] Τ, QF, LK, ſecentur nunc dicta ſolida planis tangentibus pa-
rallelis, quæ diuidant eorum altitudinesreſpectu duitorum tan-
33_D. Def. 2._ gentium ſump@as ſimiliter ad eandem partem: Sint autem eo-
rum in dictis ſolidis conceptæ ſiguræ planæ ſimiles, ſivna in vno
44_A. E. Def._
_10._ 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-
dictont; vel ſihæ non ſint cum planis, Δ Υ, QK,

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