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

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[211.] D. SECTIO IV.
[212.] E. SECTIO V.
[213.] F. SECTIO VI.
[214.] G. SECTIO VII.
[215.] H. SECTIO VIII. ET VLTIMA.
[216.] COROLLARIVM I.
[217.] COROLLARIVM II.
[218.] THE OREMA XVIII. PROPOS. XVIII.
[219.] THE OREMA XIX. PROPOS. XIX.
[220.] COROLLARIVM I.
[221.] COROLLARIVM II.
[222.] LEMMA.
[223.] THE OREMA XX. PROPOS. XX.
[224.] COROLLARIVM.
[225.] THE OREMA XXI. PROPOS. XXI.
[226.] COROLLARIVM.
[227.] THE OREMA XXII. PROPOS. XXII.
[228.] A. COROLLARII SECTIO I.
[229.] B. SECTIO II.
[230.] C. SECTIO III.
[231.] D. SECTIO IV.
[232.] E. SECTIO V.
[233.] F. SECTIO VI.
[234.] THEOR EMA XXIII. PROPOS. XXIII.
[235.] A. COROLLARII SECTIO I.
[236.] B. SECTIO II.
[237.] C. SECTIO III.
[238.] D. SECTIO IV.
[239.] E. SECTIO V.
[240.] F. SECTIO VI.
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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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