Clavius, Christoph - Geometria practica

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136106GEOMETR. PRACT.

procreabitur diſtantia quæſita AF, in partibus differentiæ ſtationum Aa,

4. Hic etiam ſi forte in vna ſtatione linea fiduciæ, aut filum perpendiculi,
tranſierit per punctum, C, aſſumendum erit vellatus vmbræ rectæ, vel verſæ, vt
Num. 6. præcedentis problematis dictum eſt.

ALTITVDINEM cuiuslibet rei erectæ per eius diſtantiam ab ocu-
lo menſoris, beneficio quadrati coniicere.

PROBLEMA V.

64[Figure 64]

1. Sit altitudo conijcienda GL, vel ML, vel IL, ad Horizontem perpen-
dicularis. Statura menſoris, vel aliqua alia menſura nota ſit F L, vel A K, pare-
turque planum Horizonti parallelum A F, in quo quadratum erigatur, cuius la-
tus A D, intelligatur productum occurrens altitudini in F. Inſpecto cacumine
I, ſecet primum dioptra vel filum perpendiculi latus C D, vmbræ verſæ in E.
quod accidet, quando diſtantia A F, maior eſt, altitudine F I, vt problemate @.
Num. 1. oſtendimus. Quoniam igitur triangulum ADE, triangulo AFI, æqui-
angulum eſt, vtibidem monſtratum eſt; erit vt AD, ad DE, ita AF, ad FI. 114. ſexti. obrem ſi fiat,

22
Vt lat{us} qua- \\ drati 1000. # Ad vmbram \\ verſam DE: # Ita diſtantia A F, vel data, vel \\ inuenta per probl. 3. aut 4. # AD F I

patefacta erit altitudo F I, in partibus diſtantiæ A F, quæ ſi data non eſt, exqui-
renda erit vel per problema 3. vel 4. Et ſi ad F I, adijcietur menſura, vel ſtatura
menſoris F L, tota altitudo propoſita IL, nota fiet,

2. Deinde linea fiduciæ tranſeat per punctum C. quod fiet, quando di-
33ſchol. 34.
primi. ſtantia AF, altitudini FM, æqualis eſt; quod tunc angulus CAD, ſemirectus ſit, ac proinde & reliquus M, in triangulo F A M. Ideoque latera AF, FM, 446. primi. lia ſint. Quanta ergo eſt diſtantia AF, quæ vel data eſt, velinuenienda per pro-
blema 3. vel 4. tanta erit altitudo F M, cui addita F L, nota patefaciet totam al-
titudinem M L.

3. Postremo interſeceturvmbræ rectæ latus in H. quod eueniet,

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Scan	Original
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113	83
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115	85
116	86
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119	89
120	90
121	91
122	92
123	93
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125	95
126	96
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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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