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

Table of contents

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[111.] COROLLARIV M.
[112.] LEMMA VI.
[113.] COROLLARIVM.
[114.] THEOREMA XXVI. PROPOS. XXIX.
[115.] THEOREMA XXVII. PROPOS. XXX.
[116.] LEMMA.
[117.] THEOREMA XXVIII. PROPOS. XXXI.
[118.] DEFINITIO.
[119.] DEFINITIO.
[120.] THEOREMA XXIX. PROPOS. XXXII.
[121.] THEOREMA XXX. PROPOS. XXXIII.
[122.] THEOREMA XXXI. PROPOS. XXXIV.
[123.] COROLLARIVM.
[124.] THEOREMA XXXII. PROPOS. XXXV.
[125.] COROLLARIVM.
[126.] THEOREMA XXXIII. PROPOS. XXXVI.
[127.] THEOREMA XXXIV. PROPOS. XXXVII.
[128.] COROLLARIVM.
[129.] THEOREMA XXXV. PROPOS. XXXVIII.
[130.] THEOREMA XXXVI. PROPOS. XXXIX.
[131.] THEOREMA XXXVII. PROPOS. XL.
[132.] SCHOLIVM.
[133.] THEOREMA XXXVIII. PROPOS. XLI.
[134.] THEOREMA XXXIX PROPOS. XLII.
[135.] THEOREMA XL. PROPOS. XLIII.
[136.] THEOREMA XLI. PROPOS. XLIV.
[137.] THEOREMA XLII. PROPOS. XLV.
[138.] THEOREMA XLIII. PROPOS. XLVI.
[139.] THEOREMA XLIV. PROPOS. XLVII.
[140.] 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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