352 
The observations were taken before and after noon, and, 
reduced, were as follows: 
Time. 
hi om. 9s: Altitude. 
a) = 1d 25° 6 Be 2 aes 
) 10 49 30 56: 4g) 20% 
(3) 10 53 O 56> 44) 59”. 
(4) 10 58 50 56° 44) 19", 
(5) iB ew tae eT) 56° 43) . 19% 
(6) 11 3 40 562-4) 129) 
(7) 11 12 40 56°30) -19%. 
A comparative examination of these suggested 10h. 54m. 35s. 
as the probable time of apparent noon. (The method for 
ascertaining the time of noon given by Godfray, Ast. art. 150, 
was not available at the time the observations were worked out: 
by it, the times of app. noon on the mean of two separate 
observations are as follows: (1) and (2) 10h. 54m. Os., (8) and 
(4) 10h. 54m. 40s., (4) and (5) 10h. 54m. 25s. (5) and (6) 
10h. 54m. 15s....average 10h. 54m. 20s.) 
The method employed to find the latitude is that given in 
Raper’s “Navigation.” Tables are given containing a given 
series of numbers varying for all latitudes and declinations. 
The number in this particular case (Lat. 37°. 50°. 50° N., Sun’s 
Deel. 4°. 34°. 6 N.) is 458. 
This is added to the sin. sq. of the time elapsing between 
the time of observation and that of apparent noon: the result 
is the log. of the sin. of the difference between the altitude of 
the sun at the time of observation and its meridian altitude. 
Employing this method we get these results: For ob- 
servation (1) Lat. 37°. 49°. 0; for (2) 49°. 19"; (3) 48. 56"; 
(4) 49. 0"; (5) 49%. O ; (6) 48°. 53"; (7) 48°. 43"; average 
37°. 48°. 58.7. 
The methods given in Norie’s “Navigation,” and in Godfray’s 
Ast., art. 149, produce very nearly the same results; e.g. obs. 
