On finding the Latitude. 
Sin,y, [{ 947778 
Sect. a, 1000664 
Sin S, 9-78442 
S = 37° 30 
t, 47 30 
Sie Be Re 
pec: O° } Horary angles. 
87 
This is Dr. Brinkley’s Ist example, p.9. The exact latitude 
is 10°, and he brings out 10° 1’ by the same process as in the Jast 
example. This instance admits of two solutions, the are p + x 
being less than 90°: but the one near the equator is taken, be+ 
cause the latitude by account is set down 9°. ‘The ambiguity 
will be removed if the other latitude be computed by the for- 
mula, cos A = cos y cos (Pp — 2X); it comes out 33° 51’, 
Example Ill. 
oy rae E LiSh! eysth 
‘ai ce Ah } pies e {o's decl, 5° 30’. 
Sin h = 95979 
Wi Sin h’ = 57857 
# 2A, 151836 
2B, 36122 
A, Fas 
B, 18061 
Cos D, 9-99800 Cos lb = 9-97962 
Sint, 9-47814 A.C. 1002038. 
Sin .l, 947614 Sin D, 8-98157 
b= 17° 25 Cos p, 9:V0195 
p = 84° 14"1 
A.C. sin b, 10°52386, Cos .b, 9:97962 
Log B, 925674 Cos y, 9:90170 
Sin ¥, 9-78060 — 9°88132 
RN SY uoall Sea) A.C. 10°11868 
Log A, 988034 
Cos .y, 9:90170 Cos .x, 9:99902 
Cos (p—x) , 9°22279 Ee Ws ia 3 
Sin a, 9°12449 p—x, = 80 23:1 
A=7° 392 
Sin y, 9-78060 
Secta, 10-00388 
SinS, — 9°78448 
S = 37° 30 
This 
