Clavius, Christoph - Geometria practica

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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

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121	91
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Scan	Original
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90
121	91
122	92
123	93
124	96
125	95
126	96
127	97
128	98
129	99
130	100
131	101
132	102
133	103
134	104
135	105
136	106
137	107
138	108
139	109
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