256 On the Coefficient of End- Correction. 



when the value of k obtained was greater than the proper 

 value. Here we find 



Z^ + ^L+^ + jB+io+lD, 



or since \= ^/, 



* = 1 + T2 ( ' 63384)_ T5 ( ' 25734) 



+ 



^jQ of -4682- ^ of 1-3752+1) 



= ^+-035664 + -000348. 



Then neglecting the term D(l — ot- 2 ) 3 we obtain 



&i=^+ -035664 

 4 



= •821062, 



and introducing the term D(l — ot 2 ) 3 



& 2 = -821062 4 -000348 



= •821410. 



Then using the result of the previous paper, 



•82141 <k< -82168. 



The change produced in k by introducing a further term 

 is about '00035 in this paper. In the previous paper it was 

 about '000030. Let us assume that the actual errors are 

 proportional to these changes. 



Then k will probably differ very slightly from 



•82168- — ^ (-82168- -82141) 



OO -j- o 



or from '82166. 

 Then certainly 



•82141 < k < -82168 



and probably & = about '82166. 



