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

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[61.] COROLLARIVM.
Page: 40 (20)
[62.] THEOREMA IV. PROPOS. VII.
Page: 40 (20)
[63.] THEOREMA V. PROPOS. VIII.
Page: 41 (21)
[64.] COROLLARIV M.
Page: 42 (22)
[65.] THEOREMA VI. PROPOS. IX.
Page: 42 (22)
[66.] COROLLARIVM.
Page: 43 (23)
[67.] THEOREMA VII. PROPOS. X.
Page: 43 (23)
[68.] THEOREMA VIII. PROPOS. XI.
Page: 44 (24)
[69.] COROLLARIV M.
Page: 46 (26)
[70.] LEMMA PRO ANTECED. PROP.
Page: 47 (27)
[71.] THEOREMA IX. PROPOS. XII.
Page: 47 (27)
[72.] COROLLARIV M.
Page: 48 (28)
[73.] THEOREMA X. PROPOS. XIII.
Page: 48 (28)
[74.] THEOREMA XI. PROPOS. XIV.
Page: 50 (30)
[75.] THEOREMA XII. PROPOS. XV.
Page: 51 (31)
[76.] SCHOLIVM.
Page: 52 (32)
[77.] THEOREMA XIII. PROPOS. XVI.
Page: 52 (32)
[78.] COROLLARIVM.
Page: 52 (32)
[79.] THEOREMA XIV. PROPOS. XVII.
Page: 53 (33)
[80.] COROLLARIVM.
Page: 53 (33)
[81.] THEOREMA XV. PROPOS. XVIII.
Page: 54 (34)
[82.] COROLLARIVM.
Page: 55 (35)
[83.] THEOREMA XVI. PROPOS. XIX.
Page: 55 (35)
[84.] COROLLARIVMI.
Page: 57 (37)
[85.] COROLLARIVM II.
Page: 57 (37)
[86.] THEOREMA XVII. PROPOS. XX.
Page: 58 (38)
[87.] THE OREMA XVIII. PROPOS. XXI.
Page: 58 (38)
[88.] COROLLARIVM.
Page: 59 (39)
[89.] THEOREMA XIX. PROPOS. XXII.
Page: 60 (40)
[90.] COROLLARIVM I.
Page: 62 (42)
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page |< < (16) of 569 > >|
3616GEOMETRIÆ
Sit propoſita quæcumque figura plana, AOVE, & in ipſiu@
plano duæ rectæ lineæ, BD, IT, vtcumq; ſe inuicem fecante@
11Def. 14.10[Figure 10] in puncto; C, oportet illi parallelogrammum
circumſcribere, cuius latera rectis, SD, IT,
ſint parallela. Ducantur ergo oppoſitæ tan-
gentes figuræ, AOVE, reſpectu ipſius, IT,
quæ ſint, KM, HL, & aliæ duæ reſpectu ip-
22Cor. ant. ſius, BD, quæ ſint, KH, ML, quæ cum
prædictis concurrent, nam ſunt parallelæ ip-
ſis, BD, IT, quæ inuicem concurrunr, ſit
ergo concurſus in punctis, K, M, L, H, igi-
tur, KL, erit parallelogrammum, cuius ſin-
gula latera tangent ambitum ſiguræ, vt in
punctis, A, O, V, E, & ideò erit figuræ, AOVE, circumfcri-
33Def. 14. ptum, habens latera duabus datis rectis lineis, BD, IT, in figu-
ræ, AOVE, plano ſe inuicem ſecantibus, parallela; quod effi-
cere, & c.
PROBLEMA III. PROPOS. III.
CVilibet ſolido parallelepipedum circumſcribere, cu-
ius plana oppoſita tribus datis planis, ſe inuicem ſe-
cantibus, ſint parallela.
Sit ſolidum,
11[Figure 11] ACBD, quod-
cumq; in quo
tria plana, A
CBD, AB, C
D, ſe inuicem
fecent, quæli-
bet duo, opor-
tetſolido, AC
44Def. 1@. BD, paralle-
lepipedum cir-
cūſcribere, cu-
ius oppoſita
plana prædi-
ctis planis ſint
parallela. Du-
cātur duo pla-
na oppoſita
55Coroll. 1.
huius. tangentia dictum ſolidum reſpectu cuiuſuis planorum ſe

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