408 Mr. Burns on finding the Latitude, Sc. 
the observation nearest noon was taken, together with the la- 
titude of the place and the sun’s declination ? 
Here, cosa = 438371 
cos ¢ = 361353 
77018 ... log.  4°88659 
cosy 9°99308 
— 75800 log. eee 4°87967 
438371 
417339 
cos a 
cos b 
— 
— 
— 
21032 ... log. ... 4°32288 
cos 2..-. 9'°95925 
+ 19148 ... log. ... 4°28213 
cos b = 417339 log. 77018 ... 4°88659 
cos c = 361353 Sin Y +. 9°24818 
+ 55986 —13639 ... log. coe 4.13477 
log. 21032 ... 4°32288 
sin 2 ... 961662 
+8699 ... log. ... 3°93950 
The formula (a) therefore reduced to numbers will stand as 
follows : 
ye —75800 +19148+55986 _  —666 
al — 1363948699 ~ —4940 
log. 666 ... 282347 
log. 4940 ... 3°69373 
tan 7° 41! = *13482 log. ... 1°12974 
Now, 7° 71! = 30™ 445 in time; therefore the apparent time 
of the observation nearest noon was 11" 29™ 165. : 
Now to find the latitude and declination : 
1— cos # = ~89°779 ... log. 195317 
cos a — cos b = 210°396 ... log. 2°32288 
427605 
cos .« — cos (a + y) « log. ... 2°59481 
AB os. log. eo. 1°68124 
COS @ ... 4384 
63° 41/2 cos. ... 4432 
1+cos 
