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

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

Table of contents

[Item 1.]

[2.] TURNER COLLECTION

[3.] THE LIBRARY UNIVERSITY OF KEELE

[4.] GEOMETRIA INDIVISIBILIBVS CONTIN VOR VM Noua quadam ratione promota. _AVTHORE_ P. BONAVENTVRA CAVALERIO MEDIOLANEN _Ordinis S.Hieron. Olim in Almo Bononien. Archigym._ _Prim. Mathematicarum Profeſſ._ In hac poftrema edictione ab erroribus expurgata. _Ad Illuſtriſs. D. D._ MARTIVM VRSINVM PENNÆ MARCHIONEM &c.

[5.] BONONIÆ, M. DC. LIII.

[6.] _ILLVSTRISSIME_ MARCHIO

[7.] PRÆFATIO

[8.] In huius Libri Autorem.

[9.] In Librum Geometriæ.

[10.] Ad Libri Auctorem.

[11.] Ad Librum Geometriæ.

[12.] DeLibro Geometriæ.

[13.] De Libro Geometriæ.

[14.] Ad Autorem Libri Geometriæ.

[15.] CAVALERII LIBER PRIMVS. In quo præcipuè de ſectionibus Cylindricorum, & Conicorum, nec non ſimilibus figuris quædam element aria præmittuntur; ac aliquæ Pro-poſitiones lemmaticæ pro ſequen-tibus Libris oſtenduntur. DIFINITIONES. A. I.

[16.] B.

[17.] C.

[18.] A. II.

[19.] B.

[20.] C.

[21.] D.

[22.] E.

[23.] SCHOLIVM.

[24.] III.

[25.] A. IV.

[26.] COROLLARIVM.

[27.] B.

[28.] V.

[29.] VI.

[30.] VII.

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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