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

120100GEOMETRIÆ

COROLLARIVM.

_H_ Inc patet, quoniam oppoſitæ tangentes regula quacunque in data
11_Corol. 1._
_lib. 1._ figura duci poſſunt, etiam omnes lineas datæ figuræ regula qua-
cunq; recta linea propoſita haberi poſſe, tum recti, tum etiam eiuſdem
obliquitranſitus.

II.

SI, propoſito quocunq; ſolido, eiuſdem oppoſita plana tan-
22Corol. 1.
lib. 1. gentia regula quacunque ducta fuerint, hinc inde inde-
finitè producta, quorum alterum verſus reliquum moueatur
ſemper eidem ęquidiſtans, donec illi congruerit; ſingula pla-
33Poſt Se-
cund. l. 1. na, quę in toto motu concipiuntur in propoſito ſolido, ſimul
collecta, vocentur: Omnia plana propoſiti ſolidi, ſumpta, re-
44E. Defin.
Sec. lib. 1. gula eorundem vno.

COROLLARIVM.

_H_ Inc etiam diſcimus, veluti propoſiti ſolidi oppoſita tangentia pla-
na quacunque regula duci poſſunt, ita eiuſdem omnia plana re-
gula quocunq; plano haberi poſſe.

III.

SI oppoſitis tangentibus planis occurrant interius duæ re-
55Corol. 1.
lib. 1. ctę lineę, vna perpendiculariter, reliqua obliquè pun-
cta, quę ſunt comm unes ſectiones propoſitæ lineæ perpendi-
culariter incidentis, & ſingulorum planorum, quæ collecta
dicuntur, omnia plana (ita tamen producta, vt eaſdem ſecare
poſſint) ſiue puncta, quę ſunt communes ſectiones eiuſdem,
& moti plani, fiuntq; in toto motu, ſimul collecta vocentur:
Omnia puncta recti tranſitus propoſitæ lineæ perpendicula-
riter incidentis; quę in obliquè incidente vocentur, eiuſdem
obliqui tranſitus.

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