102 Mr. Lax's Method of finding the Latitude of a Place , 
2° 21' 33", (of the same denomination as the latit.) one obser- 
vation being made in the morning, when the sun is 5 0 3' 22", 
and the other in the afternoon, when he is io° 1' 10", distant 
from the meridian. The altitude in the former case will be 
found equal to 37 0 44' 32"; and in the latter to 37 0 15' 20". 
Observation ist. 
Observation 2d. 
Lat. 54 0 15' 0' 
Lat. 54 0 16' 0" 
Lat. 54 0 15*0* 
Log. of a — 9,7868838 
- 9,7868838 
9,7820217 
— d — 8,6175181 
8,6175181 
8,6146155 
— 1 — 9,9093281 - 
- 9,9094190 
9,9093281 
— dl — 18,5268462 
18,5269371 
1 3,5239436 
a m 3 
TT — 21,2600376 
« i 
21,2599467 
21,2580781 
£ on 
— — 10,6300188 
d l \ 
- 10,6299733 
- 10,6290390 
Log. tang. = 10,6177463 - 
- 10,6176983 
- 10,6167094 
'z x leg. tang. — 21,2354926 
- 21,2353966 
21,2334188 
Log. of r — 8,6178915 
8,6178915 
- 8,6149839 
— s — 10,1427296 
10,1429961 
10,1427296 
Computed log. of y — 9,9961 137 
9,9962842 
9 > 99 II 3 2 3 
True — = 9,9983068 
* 
9 > 99 33253 
Area gb — 21931 
9,^96 11 37 
Area gc — 1705 
- Area gb zz 21930 
Hence, — - I93 ‘- = 12' 31", and latit. = 
’ g c 1705 7 
54° 2/ 5 1 "- 
If we employ the formula - L - 
a rm 1 
- — m — 
Sy 
vs 
- . — r- m com- 
m 3 
puting the area gc, we shall 
obtain, very 
nearly, the same 
result. 
