Clavius, Christoph - Geometria practica

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148118GEOMETR. PRACT. mus per vnicam ſtationem quo que efficere, & ſimul diſtantiam à perpendiculo
montis, vel à turre vſque ad ſignum in Horizonte propoſitum inuenire.

Sit enim montis alicuius, aut turris
11Altitudinem
montis, vel
turris ex eius
vertice per v-
nicam ſtatio-
nem, vna cũ
d ſtãtia à tur-
re, vel perpen-
diculo mo@tis
ad ſignum in
Horizonte
propoſitum
metiri.

76[Figure 76] altitudo D E, & ſignum in Horizonte vi-
ſum F. Erigatur ex D, haſta aliqua D A, &
ſumpta D A, æquali lateri quadrati ſtabi-
lis, accommodetur quadratum a b c d, in
A, ita vt centrum dio ptræ a, ſit ſuperius, &
latus inferius recta ad ſignum F, vergat.
Poſito deinde oculo in a, dirigatur dio-
ptra verſus F, notentur que partes in vm-
bra verſa b e. Nam ſi fiat,

22
Vt be, vmbra verſa # ad latus b a, 1000. # Ita latus a d, 1000. # ad A F,

reperietur hypotenuſa A F, in partibus lateris a d. Accommo detur rurſus qua-
dratum A B C D, vt centrum dioptræ A, ſit ſuperius, & latus C D, Horizontiæ-
quidiſtet, hoc eſt, latus AD, haſtæ ere ctæ congruat. Quo poſito, videbitur ſignũ
F, per inuentam hypotenuſam A F, quæ primum ſecet latus vmbræ verſæ B C,
in G; in quiratur que portio dio ptræ A G, vt in ſchol. problem. 7. Num. 2. docui-
mus. Nam ſi fiat,

334. ſexti. &
componendo.44
Vt portio dioptræ \\ A G, inuenta # adinuentam hy- \\ potenuſam A F, # Ita A L, vmbræ verſæ B G, æ- \\ qualis (ducta G L, paralle- \\ la ipſi E F,) # ad A E,

comperta erit AE, in partibus hypotenuſæ AF. Et ſi dematur latus quadrati A D,
in ijſdem partibus notum, reliqua fiet D E, altitudo montis, aut turris. Quòd ſi
rurſus fiat,

55
Vt portio dioptræ \\ AG, inuenta # ad inuentam hy- \\ potenuſam AF, # Ita E M, (producta BC, vſ- \\ que ad M,) lateri CD, æqua- \\ lis, # ad EF,

exibit nota diſtantia EF, in ijſdem partibus hypotenuſæ A F.

Vbi vides eadem opera inueniri diſtantiam ab oculo A, vſque ad ſignum F,
in Horizonte.

Non erit autem difficile ipſam DE, vel EF, ſi inuenta fuerit in partibus mil-
leſimis lateris AD, vel CD, in alia menſura, vt in pedibus, efficere notam; ſi fiat,

66
Vt AD, la- \\ tus 1000. # ad AD, notam in pedibus, ver- \\ bigratia in 3. vel in ſe miſſe \\ vnius cubiti: # Ita D E, vel E F, in- \\ uenta in milleſimis \\ partibus, # ad aliud

Atque hac eadem ratione omnes aliæ lineæ inuentæ in milleſimis partibus late-
ris quadrati, reducentur ad aliam menſuram vel pedum, vel cubitorum, & c.
Quod etiam in ſcholio problem. 7. monuimus.

2. Secet deinde hypotenuſa AI, (quæ reperietur vt AF, inuenta eſt)

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149	119
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151	121
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