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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122	92
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124	96
125	95
126	96
127	97
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129	99
130	100
131	101
132	102
133	103
134	104
135	105
136	106
137	107
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Scan	Original
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
140	110
141	111
142	112
143	113
144	114
145	115
146	116
147	117
148	118
149	119
150	120

Scan	Original
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
140	110
141	111
142	112
143	113
144	114
145	115
146	116
147	117
148	118
149	119
150	120