208 Dr. J. Prescott on the 



Let s be written for the value of w 6 / 6 satisfying 



/(m 6 Z 6 )=0, ...... (116) 



that is, 5 = 41-30, (117) 



as given in equation (111). Then let the solution of 

 equation (115) for >?i 6 / 6 be written 



m G l 6 = s + v. 



Actually equation (115) has to be solved for w which is 

 involved in both c and m, but since the term involving c is 

 small, we can use, in the expression for c, the approximate 

 value of iv given by (111). 



Now equation (115) becomes 



0=f(s + v)-c i PF(s + v) 



=f(s) + vf(s)-c*FF{s) 



■as far as terms of the first dimension in v and c 2 . 

 But/(» = 0by (116). Therefore 



Since 



(118) 



^ S) ~ "~ 5~6 + 5 . 6 . 11 . 12 ~ 5.6.11.12.17.18 + ' 

 therefore 



„ n _ 1 2s 3s 2 



* [S) ~ 5.6 + 5.6.11.12 5. 6. 11. 12. 17. 18 + ' 



With the value of s given in (117) we find that 



and F(s) = 0-1888. 



Therefore _ _ 0-1888 x 30 



C ~ 0-4890 ° 



= -ll-54c- 2 / 2 



=-^ w £> u»> 



where w l is the value of iv given by (111) ; that is, 

 u)jP=2 V41-30EwGK. 



