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

Table of contents

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[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.
[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.
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11999GEOMETRIÆ
CAVALER II
LIBER SECVNDVS.
In quo de Triangulo præcipuè, & Parallelogram-
mo, ac Solidis ab eiſdem genitis plura de-
monſtrantur, necnon aliæ quædam
Propoſitiones lemmaticæ pro ſe-
quentibus Libris oſten-
duntur.
DIFINITIONES.
I.
SI per oppoſitas tangentes cuiuſcunq; da-
tæ planæ figuræ ducantur duo plana in-
uicem parallela, recta, ſiue inclinata ad
planum datæ figuræ, hinc inde indefini-
tè producta;
quorum alterum moueatur
verſus reliquum eidem ſemper æquidi-
11Poſt Se-
cund. lib.
1.
ſtans donec illi congruerit:
ſingulæ re-
ctæ lineæ, quæ in toto motu fiunt com-
munes ſectiones plani moti, &
datæ figuræ, ſimul collectæ
22E. Defin.
Sec. lib. 1.
vocentur:
Omnes lineæ talis figuræ, ſumptæ regula vna ea-
rundem;
& hoc cum plana ſunt recta ad datam figuram: Cum
verò ad illam ſunt inclinata vocentur.
Omnes lineę eiuſdem
obliqui tranſitus datæ figuræ, regula pariter earundem vna;
libeat tamen, cum expediet, etiam prædictas vocare, recti
tranſitus, ſicuti has, obliqui tanſitus, eius nempè, qui fit in
tali ęquidiſtãtium planorum ad datam figuram inclinatione.

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