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

Scan	Original
51	31
52	32
53	33
54	34
55	35
56	36
57	37
58	38
59	39
60	40
61	41
62	42
63	43
64	44
65	45
66	46
67	47
68	48
69	49
70	50
71	51
72	52
73	53
74	54
75	55
76	56
77	57
78	58
79	59
80	60

299LIBERI. in planis æquidiſt antibus, ita conſtitutæ, vtipſæincidentes, EG,
Q℟, ſint vel ſuperpoſitæ adinuicem, vel parallelæ, & homolo-
gæ, BI, SD, LT, XP, ad eandem partem ipſarum, EG, Q℟,
& partes homologæ incidentium (per dictas homologas, produ-
ctas, ſi opusſit, ſimiliter ad eandem partem dtuiſarum) fuerint
pariter adeandem partem conſtitutæ, tunc voco figuras, ABC
11_D.Def.10._ D, KLγP, nedum ſimiles, ſedetiam ſimiliter poſitas.

Sint nunc quetcumque figuræ planæ in eodem plano vtcumque
diſpoſitæ, ABCD, ΟRΩV, & aliæ tot numero in quouis plano,
KLγP, Ζ9βΣ, quæbinæ ſint ſimiles, ſcilicet, ABCD, ipſi,
KLγP, & , ΟRΩV, tpſi, Ζ9βΣ, quarum omnium homologæ
22_C.Def.10._ duabus quibuſdam reperiantur æquidiſtantes, ſint autem reſpe-
ctu ipſarum, quibus dictæ homologæ æquidistant, ductæ in figu-
ris, ABCD, KLγP, oppoſitæ tangentes, AE, CG, KQ, γ
33_B. Def. 10._ ℟, & in figuris, ΟRΩV, Ζ9βΣ, oppoſitæ tangentes, OH, Ω
M, ΖΓ, βΛ, quæ tangentes eruntregulæ homologarum ſimilium
figurarum iam dictarum; Sint deinde incidentes duarum ex di-
44_B.Def.10._ ctis ſimilibus figuris vtcumq; vt ipſarum, ABCD, KLγP, &
oppoſitarum tangentium, AE, CG, ipſæ, EG, Q℟, quæ pro-
ducantur vſque ad extremas tangentes, SM, βΛ, quibus inci-
dant in punctis, M, Λ, reperiamus autem integras, EM, QΛ,
ſimiliter ad eandem partem ſecaritum à tangentibus, CG, γ℟,
tum ab, OH, ΖΓ, & inſuper portiones, HM, ΓΛ, eſſe etiam
incidentes oppoſitarum tangentium, OH, ΩΜ, ΖΓ, βΛ, &
ſimilium figurarum, ΟRΩV, Ζ9β; Σ, velutiipſæ, EG, Q℟,
ſunt incidentes oppoſitarum tangentium, AE, CG, KQ, γR,
& ſimilium figurarum, ABCD, KLγP. Tunc igitur has fi-
guras voco binas ſimiles, & vnas, ſcilicet ipſas, ABCD, OR
ΩV, ſimiliter, ac alias inter ſe diſpoſitas, ideſt vtipſæ, KLγP,
Ζ9βΣ, & earum, ac extremarum tangentium, AE, ΩΜ, K
Q, βΛ, ipſas, EM, QΛ, voco etiam incidentes.

A. XI.

SImiles figuræ ſolidæ, vel ſimilia ſolida, in vniuerſum
vocentur, in quorum ſingulis oppofita plana tangen-
tia ita duci poſſunt, & in eadem ita incidere ad eundem an-
gulum ex eadem parte duo plana in ijſdem terminata, vt

Page concordance

Text layer

Text normalization

Search

Scan	Original
51	31
52	32
53	33
54	34
55	35
56	36
57	37
58	38
59	39
60	40
61	41
62	42
63	43
64	44
65	45
66	46
67	47
68	48
69	49
70	50
71	51
72	52
73	53
74	54
75	55
76	56
77	57
78	58
79	59
80	60

Scan	Original
51	31
52	32
53	33
54	34
55	35
56	36
57	37
58	38
59	39
60	40
61	41
62	42
63	43
64	44
65	45
66	46
67	47
68	48
69	49
70	50
71	51
72	52
73	53
74	54
75	55
76	56
77	57
78	58
79	59
80	60

Scan	Original
51	31
52	32
53	33
54	34
55	35
56	36
57	37
58	38
59	39
60	40
61	41
62	42
63	43
64	44
65	45
66	46
67	47
68	48
69	49
70	50
71	51
72	52
73	53
74	54
75	55
76	56
77	57
78	58
79	59
80	60