Clavius, Christoph - Geometria practica

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146116GEOMETR. PRACT.11
Vt NI, differentia vm- \\ brarumrectarum # ad Aa, differentiam \\ ſtationum: # Ita AD, latus qua- \\ drati # ad A F,
#### Vel ſine reductione.
Vt Onumerus, qui relinquitur, \\ ſi numerus genitus ex vmbra \\ verſa in rectam ex quadrato \\ lateris dematur, # ad numerum P, qui \\ ex vmbra verſa BE, \\ in latus AD, produ- \\ citur: # Ita Aa, \\ differẽ- \\ tia ſta- \\ tionum # ad AF,

producetur AF, altitudo in partibus differentiæ ſtationum Aa, & c.

4. Iam verò ſi diſtantia FG, à turri ad ſignum G, in Horizonte viſum nota
fuerit, facilius per vnicam ſtationem in A, factam altitudinem coniiciemus. Nam
ſi vmbra recta DC, ſecetur in E, vt in 1. figura: Fiat autem.

224. ſexti.33
Vt vmbra recta D E, # ad latus A D: # Ita diſtantia cognita FG, # ad A F,
444. ſexti.

Vel quando vmbra verſa BC, ſecetur in E, vt in 2. figura; ſi fiat.

55
Vt lat{us} A B, # ad vmbram ver- \\ ſam B E, # Ita diſtantia cognita \\ F G, # ad A F.

effi cietnr nota recta AF, in partibus diſtantiæ F G, à qua ſi dematur latus quadra-
ti AD, notum in eiſdem partibus diſtantiæ F G, nota relin quetur altitudo DF.

Qvod ſi dio ptra per C, tranſeat, erit diſtantia F G, altitudini AF, æqualis. 666. primi. Dempto ergo latere quadrati AD, altitudo turris DF, cognita fiet.

Hoc idem problema in ſcholio ſequentis problematis abſoluemus per vni-
cam ſtationem.

ALTITVDINEM turris vel montis ex eius ſummitate per duas ſta-
tiones in haſta aliqua erecta factas, inueſtigare per quadratum, quan-
do ſignum aliquod in Horizonte videri poteſt.

PROBLEMA IX.

73[Figure 73]

1. Qvando in ſummitate non eſt pla-
nities tanta, vt in ea duæ ſtationes poſsint
fieri, erigatur haſta aliqua in qua duæ ſta-
tiones fiant. Vt ſi altitudo inueſtiganda
ſit d F, erigatur haſta d A, & centro dio-
ptræ applicato ad haſtam primum in a,
deinde in A, inſpiciatur ſignum aliquod
G, in Horizonte per radios a G, A G, ſe-
ceturque primum vtraque vmbra recta in
H E, vt in prima figura problematis 3.
quam hic inuerſo ordine repetiuimus.
Nam vt in præcedenti problemate dixi-
mus, in hac inuerſione D C, fit latus vm-
bræ rectæ, & B C, verſæ. Si ergo, vt in
problemate 1. demonſtrauimus Num. 1.
fiat,

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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