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

Table of contents

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[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.
[61.] COROLLARIVM.
[62.] THEOREMA IV. PROPOS. VII.
[63.] THEOREMA V. PROPOS. VIII.
[64.] COROLLARIV M.
[65.] THEOREMA VI. PROPOS. IX.
[66.] COROLLARIVM.
[67.] THEOREMA VII. PROPOS. X.
[68.] THEOREMA VIII. PROPOS. XI.
[69.] COROLLARIV M.
[70.] LEMMA PRO ANTECED. PROP.
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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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