362 Prof. Gr. H. Darwin. On an Apparatus for [Dec. 15 y 



If there be n equations and if they be treated by the method of 

 least squares, we get 



A = iAo+A 2 (i+4-i. ...) +B 2 (o+iv / 3+J rv / 3 ....), 



D l = 



These are the three equations from which A , A 2 , B 2 are to be 

 found. 



A schedule is given below for the formation of A, A, A, and a 

 table of the solutions of these equations according to the number of 

 months available. 



Next, suppose C^ denotes a function which is subject to annual 

 inequality, and that 



CM = AO+ A! COS 30T + B! sin 30T. 

 Then C< 0) = A +A 1? 



,&c., &c. 



In this case the method of least squares gives 

 A= 



Tables are given below for the formation of A, A, A, and of the 

 solutions of the equations according to the number of months avail- 

 able. 



