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

Table of contents

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[151.] Finis Primi Libri.
[152.] CAVALER II LIBER SECVNDVS.
[153.] DIFINITIONES. I.
[154.] COROLLARIVM.
[155.] II.
[156.] COROLLARIVM.
[157.] III.
[158.] COROLLARIVM.
[159.] IV.
[161.] COROLLARIVM.
[162.] VI.
[163.] COROLLARIVM.
[164.] VII.
[165.] A. VIII.
[170.] APPENDIX. Pro antecedentium Definitionum explicatione.
[171.] POSTVLATA I.
[172.] II.
[173.] THEOREMA I. PROPOS. I.
[174.] SCHOLIVM.
[175.] THEOREMA II. PROPOS. II.
[176.] COROLLARIV M.
[177.] THEOREMA III. PROPOS. III.
[178.] COROLLARIVM.
[179.] THEOREMA IV. PROPOS. IV.
[180.] COROLLARIVM.
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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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