Clavius, Christoph - Geometria practica

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9868GEOMETR. PRACT.& dioptra ad illud punctum mente notatum dirigatur, indicabunt gradus in-
ter illam ſemidiametrum, & dioptram prædictum angulum reliquum. Si deni-
que altera illa ſemidiameter præcisè in C, tendat, angulus C G D, rectus erit.
Quia ergo in triangulo G C D, obliquangulo latera nota G C, G D, continent
angulum notum G; cognoſcetur latus C D, per problema 12. triang. rectil.
cap. 3. lib. 1.

2. Absqve numeris facile problema ſoluetur, ſi fiat angulus G, æqualis
ei, qui per Quadrantem obſeruatus fuit, & in rectis G C, GD, ex inſtrumento
11Problematis
ſolutio ſine
numeris. partium tot particulæ ſumantur, quot palmi, aut pedes in diſtantiis G C, GD,
inuenti ſunt, & c.

LONGITVDINEM lineæ rectę, quando menſor in vno eius extre-
mo, vel in aliqua altitudine nota, quę perpendicularis ſit in eo extre-
mo ad planum, in quo linea iacet, exiſtens alterum extremum videre
poteſt, per Quadrantem comprehendere.

PROBLEMA VIII.

1. Sit exquirenda longitudo A B, hoc eſt, diſtan-

31[Figure 31] tia inter A, & B, etiamſi puncta intermedia ſiue propter
tumores interiectos, ſiue propter valles, cerninequeant,
dummodo in extremo A, exiſtens menſor, vel in aliqua
altitudine cognita ad planum, in quo linea A B, perpen-
diculari, ita vt A C, ſit vel ſtatura menſoris, vel haſta ali-
qua erecta, vel turris. Inſpecto extremo B, obſeruetur angulus C. Et quia po-
ſito ſinu toto AC, diſtantia AB, eſt Tangens anguli obſeruati C: ſi fiat,

22
Vt ſinus totus \\ AC, # ad AB, tangentem anguli \\ obſeruati C. # Ita AC, ſtatura menſoris, \\ vel altitudo nota, # Ad AB, longi- \\ tudinem.

procreabitur longitudo A B, in partibus altitudinis notæ A C. Quæ per ſolos
334. Triang.
rectil. ſinus etiam producetur, ſi fiat,

44
Vt ſinus anguli B, com- \\ plenti anguli C, ob- \\ ſeruati # Ad AC, ſtaturam menſo- \\ ris, vel altitudinem no- \\ tam # Ita ſinus angu- \\ li C, obſerua- \\ uationis # ad AB, longi- \\ tudinem

2. Sine numeris eadem longitudo AB, cognoſcetur, vt in præcedentibus
55Solutio pro-
blematis ſine
numeris. dictum eſt: ſi videlicet ex inſtrumento partium accipiatur A C, tot particula-
rum, quot palmi, pedeſue in altitudine AC, exiſtunt, conſtituatur que angulus
obſeruationis C, ac tandem ad AC, perpendicularis excitetur AB, & c.

LONGITVDINEM, ad cuius extrema accedere non liceat, dum-
modo ea appareant, & ipſa longitudo producta ad pedes menſoris
pertingat, ex altitudine aliqua nota dim@tiri:

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103	73
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Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
115	85
116	86
117	87
118	88
119	89
120	90