Ai"t. 6. — ïi. Kaibara : 



4r// 



and defining an angle w by 



SlllW = 



2^., cos a cos ;9 



t^^î'z I ^ ^s(2î')tan'2acos(a— ^5j 

 it can be j^roved that (6) becomes 



J2 = 



^it^zp. 



tan (l^ cos oi 



tan ^' 



£.,tanc 



(24) ■ 



(25) 



(26) 



^•i^3 V^ ^P?, f^S ^-2 f ^ ^ ^i Sill <p 



The values of .Q were always found from both (23) and (26). 

 Since these two equations lead to identical results under the 

 condition that (17) is satisfied, the comparison of the two values 

 for JQ thus obtainable, enables us to verify the calculation and 

 confirm the accuracy of the values of z found from (17). 



Lastly, the quantities //, e, and i are determined by 



f^ = ^-(ruOÙ'\^+riW^^^ ^ 



e = ^âLa-^'lJ, 



i = l 



5 £. 



(27) 



By the method hitherto explained, the calculation was 

 carried out with values of h taken in the range from to 0'24 at 

 equal intervals of 0"02. The result is shown in the first 13 rows of 

 Table I at the end of this paper. Following the scheme of 

 Darwin's table, the quantities 



a 1 ^ 



(!\<h)^ 



{ahcf 



h 

 {ahcf \ /'•-' 



^ - -i 



(28) 



03 = VTTf = ^(''''-"^ 

 {ahcy 



are tabulated instead of ,^'1, p-i, ft. 



