GEOGRAPHIC TABLES AND FORMULAS. 
239 
position, using distance and azimuth found as above. The order of 
solution is shown by figures in parentheses. The cosines of latitudes 
are proportional to the intercepted parallels. 
Latitude = <p 
= 38° 23' 27" 
.00 Given 
<p' 
= 37 45 09 
.30 Given 
A <p 
38' 17" 
.70 
=2297 
'.70 (1) 
log A <p = 3.3612933 
log C = 1.30360 
log S 2 sin 
2a = 8.75770 
log (II 
0.06130 {1 
)' 
(II 
) = 1" .152 
logD = 
2.3812 
lOg (I + 11)2 = 
= 6.7226 
log (III) 
9.1038 (8) 
III = 
0" .13 
logE = 
6.0711 
*ogS' 2 sin 2 a = 
8.7577 
logI = 
3.3613 
log IV = 
8.1901 (9) 
IV = 
-" .02 
(II) = 
+ 1.15" 
(HI) - 
+ 0.13 
IV = 
- .02 
Sum = 
+ 1.26" (10) 
A <p = 
2297.70 
(I) = 2296.44 
Longitude = A = 104° 32' 48" .20 Given 
A' = 104 49 05 .50 Given 
A A = 16' 17" .30 + 
- 977" .30 + (2) 
log A A = 2.9900279 
log a A correction = + 16 
log S (scaled distance) correction = — 99 
(apply with opposite sign) — 83 (3) 
log A A' = 2.9900362 (4) 
log A' = 8.5091750 (5) 
Sec <p' = 0.1020092 
8.6111842 (+) 
%AA' = 2.9900362 (+) 
log S sin a = 4.3788520 ( + ) (6) 
log S cos a = 4.8500742 ( + ) (11) 
sin a 
= tan o. = 9.5287778 (12) 
COS a 
log (I) = 3.3610475 
log (B) = 8.5109733 
log S cos a = 4.8500742 (11) 
Azimuth = a = 18° 40' 10" .8 (13) 
log S sin a = 4.3788520 
log sin a = 9.5053013 
log distance = log S = 4.8735507 (14) 
