Clavius, Christoph, Geometria practica

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149119LIBER TERTIVS. dratum in C: inueſtigetur que portio dioptræ A C, vt in ſchol. problem. 7. Num.
2. tradidimus. Deinde fiat,
112. ſexti. &
componendo.
22
Vt p@rtio dioptræ AC, \\ inuenta # ad inuentam hypotenu- \\ ſam A I, # Ita A D, latus \\ 1000. # ad AE,
Nam numerus productus dabit A E, in partibus hypotenuſæ AI. Atque totidem
partes complectetur diſtantia E I;
quod A E, EI, æquales ſint, ob angulos 336. primi. mirectos EAI, EIA, æquales.
3. Postremo hypotenuſa A K, inuenta eo modo, quo A F, cognita eſt,
ſecet latus CD, vmbræ rectæ in H, reperiatur que portio dioptræ AH, vt in ſchol.
problem. 7. Num. 2. do cuimus. Nam ſi fiat.
442. ſexti. &
componendo.
55
Vt portio dioptræ \\ A H, inuenta # ad inuentam hypotenu- \\ ſam A K: # Ita A D, lat{us} qua- \\ drati # ad A E,
cognoſcetur A E, in partibus hypotenuſæ A K, & c. Et ſi rurſus fiat, ducta prius
H N, ipſi A E, parallela,
66
Vt portio dioptræ \\ A H, inuenta # Ad inuentam hy- \\ potenuſam A K, # Ita E N, vmbræ rectæ \\ D H, æqualis # ad E K,
nota quo que red detur diſtantia E K, in ijſdem partibus hypotenuſæ A K, & c.
Quod ſi ex vertice D, appareret radix montis, inueniretur eo dem modo diſtan-
tia à radice vſque ad E, quæ ablata ex diſtantia F E, inuenta notam quo que re-
lin quet diſtantiam ab F, vſque ad radicem montis, quæ nonnunquam poſſet
deſiderari.
EX ſummitate turris, vel aliqua eius feneſtra, diſtantiam à baſe turris ad
ſignum propoſitum in Horizonte per quadratum cognoſcere.
PROBLEMA X.
1. Sit turris aliqua A F, & diſtantia metienda F G. Si igitur altitudo turris
cognita eſt, aut eius portio inter feneſtram A, &
baſem F; inſpiciatur ſignum G,
per pinnacidia quadrati penduli.
Et ſi quidem filum perpendiculi interſecet
latus vmbræ rectæ in E, vel per punctum C, tranſeat, Fiat autem
77[Figure 77]77
Vt latus AB, par- \\ @ium 1000. # ad vmbram re- \\ ctam BE, # Ita A F, altitudo turris \\ nota # ad FG,

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