Clavius, Christoph - Geometria practica

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147117LIBER TERTIVS.11
Vt H I, differentia vm- \\ brarum rectarum # ad A a, differentiam \\ ſtationum; # Ita d H, vmbra \\ recta maior # ad AF,

nota fiet tota recta AF, ex quaſi dematur portio haſtæ A d, quod duo quadra-
ta occupant, cognita fiet reliqua altitudo d F.

2. Si vero in vtraque ſtatione vmbra verſa à radijs interſecetur, vt in 2. figu-
ra problematis 3. hic repetita ordine inuerſo, & fiat,

74[Figure 74]22
vt I E, differentia vm- \\ brarum verſarum, # ad Aa, differentiam \\ ſtationum: # Ita B E, vmbra ver- \\ ſa maior # ad AF,

pro dibit recta A F, ex qua ſi detrahatur portio haſtæ

75[Figure 75] A d, à principio primi quadrati ad finem ſecundi, re-
33Ad ſiniſtrum
angulum in-
feriorem, in-
ferioris qua-
drati, poned liqua d F, altitudo fiet quo que nota: veluti in pro-
blemate 3. Num. 3. oſtendimus.

3. At ſiin vna ſtatione ſecetur latus vmbræ rectæ,
& in altera latus vmbræ verſæ, vtin 3. figura proble-
matis 3. quæ inuerſa huc translata eſt, reducenda erit
vel recta vmbra ad verſam, vel verſa ad rectam. Nam
vt in problemate 3. Num. 5. oſtendimus, ſi fiat,

44
Vt I N, differentia vm- \\ brarum ſiue verſarum, \\ ſiue rectarum, # ad Aa, differen- \\ tiam ſtationum: # Ita B N, maior vmbra \\ verſa, veld N, maior \\ vmbrarecta, # ad AF,

effi cietur nota recta A F, ex qua ſi dematur portio haſtæ A d, nota relinquetur
altitudo d F.

4. Qvod ſi turris eſſet A F, & ex duabus feneſtris d, D, obſeruatio fieret,
deprehenderetur eo dem modo altitudo turris A F, vt patet.

SCHOLIVM.

1. Qvod præcedentia duo problemata per duas ſtationes ſiue in plano
ſummitatis turris, vel montis, ſiue in haſta aliqua erecta factas docuerunt,

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134	104
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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
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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