Clavius, Christoph - Geometria practica

Scan	Original
71	41
72	42
73	43
74	44
75	45
76	46
77	47
78	48
79	49
80	50
81	51
82	52
83	53
84	54
85	55
86	56
87	57
88	58
89	59
90	60
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70

11282GEOMETR. PRACT.

5. Vt idem aſſequaris ſine auxilio numerorum, conſule ea, quę problema-
te 4. num. 4. ſcripſimus.

PROFVNDITATEM vallis, eiuſdemque deſcenſum obliquum, ſi
non ſit valdè inæqualis, eiuſque terminus, vel aliquod in ea ſignum
conſpici poſſit, per Quadrantem ſcrutari.

PROBLEMA XXIV.

1. Hoc etiam nihil aliud eſt, niſi altitudinem quampiam ex eius ſum-
mo faſtigio per duas ſtationes dimetiri, vt problemate 4. oſtenſum eſt. Sit enim
vallis inter duosmontes AB, FG, poſita, & terminus ipſius C, ex monte AB,
poſsit conſpici. Ere cta haſta aliqua AE, fiantin D, & E, duæ ſtationes, obſer-
uenturque anguli D, & E, inſpecto termino C, per radios DC, EC. Intelliga-
tur autem recta EA, vſque ad baſem montis extenſa in B: & recta excurrens
AF, ipſi BG, parallela, vel ad EB, perpendicularis: & denique CH ipſi AB, pa-
rallela, quæ altitudini AB, ęqualis erit, ita vt AB, vel HC, ſit profunditas 1134. primi. lis ab A, vſque ad baſem montis, & IC, eius deſcenſus obliquus. Liquidò au-

47[Figure 47] tem eonſtat, profunditatem AB, vel CH, exquiri poſſe, vt problemate 4. alti-
tudo turris AB, ex duabus ſtationibus in haſta AE, factis, vel in duabus fe-
neſtris, vel certè, vtin præcedenti problemate profunditas putei AB, inuen-
tafuit.

Descensvs autem obliquus IC, ita notus euadet. Quoniam, vt in ante-
cedente problemate monſtratum eſt, angulus DCE, differentia eſt angulorum
BDC, BEC, obſeruatorum: ſi 2210. Triang.
rectil.33
Vt ſin{us} anguli D C E, \\ differentiæ inter angu- \\ losobſeruatos # ad D E, differen- \\ tiam ſtationum \\ oculorum: # ita ſin{us} anguli \\ E, minoris ob- \\ ſeruati # ad DC,
cognita fiet recta DC, ex qua ſi detrahatur DI, (quam facilè ab oculo vſque

Page concordance

Text layer

Text normalization

Search

Scan	Original
71	41
72	42
73	43
74	44
75	45
76	46
77	47
78	48
79	49
80	50
81	51
82	52
83	53
84	54
85	55
86	56
87	57
88	58
89	59
90	60
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70

Scan	Original
71	41
72	42
73	43
74	44
75	45
76	46
77	47
78	48
79	49
80	50
81	51
82	52
83	53
84	54
85	55
86	56
87	57
88	58
89	59
90	60
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70

Scan	Original
71	41
72	42
73	43
74	44
75	45
76	46
77	47
78	48
79	49
80	50
81	51
82	52
83	53
84	54
85	55
86	56
87	57
88	58
89	59
90	60
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70