FORMATION OF THE FINAL EQUATIONS. 623 



Formation of the theoretical coefficients for the final equations for m = 1 . 



(2) When n is even. 



The above tables of the coefficients of the final equations for m 

 and for m = l take into account all the equations to (a) inclusive and 

 also the equations corresponding to the polar segments with radius 2 30'. 



It will be seen (l) that all the terms, except the principal term in 



each equation, are very small ; (2) that the coefficients of the principal 



terms in the respective final equations for </" and g n for any value of 

 n are very nearly in the ratio of n + 1 to n. 



These results might be expected, since we have seen in Section V., 



