252 NOTE ON THE INEQUALITY IN THE MOON'S LATITUDE, ETC. [29 



and -| = <u cos (7; 



dC 



d~q dai -. dC . 

 and -^ 



g 



Hence, putting c for -m 2 , and denoting the Moon's longitude by 6 as 



before, instead of Laplace's v, we have 



a f 1 . \ (da n dC . \-| 

 s,= sm6\ -- (asm C -, -77 cos C w 7 sin C 



L c c* \d /J 



-f 1 1 /do . n dC J\"| 



+ cos - - w cos C+ - - 7i sm C + w -,-- cos CM , 

 L c c- \dt at I J 



or Sl =- 



W dC 



c 

 which is in accordance with the remark made at the close of investigation I. 



