APPENDIX. 227 



"EXAMPLE. I. 



" June the twenty-firfl-, the altitude of the Sun's center 

 " was obferved to be 46° 6' at 1 6' 45" after apparent noon ; 



the latitude by account was 67° 17'; the Sun's declination 

 " being then 23° 28' N, the fuppofed meiidian altitude 

 "46° 11'. 



" Suppofed Latitude 67° 1 7' Co. Ar. Cof. 0,41322. Rifing r6' 45" . . 2,4264^ 

 " Sun's declination 23 28 Co. Ar. Cof. 0,03749. SuppofedMer. Alt. Ar. Co. Cof. 0,15967 



ti 



7,j86io 

 " Log. Ratio 0,45071 - - - 0,45071 



♦' The change in Altitude is 4o° 5' - - Sine 7)«3539 



"Obferved Altitude 46 6 



' Meridian Altitude 46 1 1 

 " Declination 23 28 



" Altitude of the Equator 2243 



" Latitude 67 17 N 



'' As the altitudes for determining how much the watch 

 " differs from apparent time were taken near the prime 

 " vertical, a great error in the fuppofed latitude will make 

 *^ a very infenlible change in the apparent time ; nor will 

 ^* it create any great difference in the variation of altitude 

 " near noon in a given time, as will appear by the following 

 " computation: 



' L 1 2 ** Suppofe 



