105 
by Means of two Altitudes of the Sun. 
latitude. Then will the greatest altitude be 84° 32' 28", and 
the least 79 0 50' 48". 
Observation ist. 
Observation 2d. 
Lat. io° 10' o a 
Lat. 10® 9' 0" 
Lat. io° 10' 0" 
Log. of a = 9,9980259 
- 9,9980259 
- - - 9>99 3*449 
1 
Si- 
ll 
VO 
V "oo 
9,1258124 
9,1249212 
— 1 — 9,2467746 
9,2460695 
- - - 9,2467746 
— ^ = 21,6254389 
21,6261440 
21,6214491 
— lir) 2 = i ° j8i2 7 i 9+ 
10,8130720 
- - 10,8107245 
Log. tang. = 10,8075134 
10,8078745 
10,8054699 
2 x log. tang. = 21,6150268 - 21,6157490 - - 21,6109398 
Lug. of r = 9,1297233 - 9,1297233 - 9,1288160 
s = 9,2536477 - 9,2529200 - - 9,2536477 
Computed log. of y = 9,9983978 
True = 9,9983442 
9,9983923 - 
- - 9 > 99 34°35 
9*99335*5 
Area gb = 536 
9,9983978 
Area g b = 5 20 
Area gc — 55 
§h = 528. Hence, correction = — = 9' 34", and lat. 
corrected = io° o' 26". 
The difference, however, betwixt the real and the corrected 
lat. would only have amounted to 19", if we had determined 
the area gb by the 1st table, instead of taking a mean betwixt 
the two areas for its proper value. This error might have been 
expected from the near approach of the lat. to the declin. and 
ought therefore to have been guarded against. It proceeds 
from the three causes of inaccuracy which, I have shewn, must 
necessarily be combined in these circumstances. The remedies 
mdccxcix. P 
