Coefficient of End- Correction. 145 



Bat from (iv.), A+B' + C' = l. 



Then _^D — 1 = minimum value of 



8 



2B'(-06667) -2C / ('04383) +B' 2 (-18242) + C' 2 (-06014) 



-2B'C'(-09307). 

 Firstly let us take B' = 0, then a minimum is given by 



C' = -7288 

 and 



^D-l=--7288(-04383)=--03194. 

 8 



Secondly, if B' is taken into consideration ; for a minimum 

 B'(-18242)-C'(-09307)= --0GGG7, 

 B'(-09307)-C / ('0G014) = --04383. 



Then B'=+'030, 



Then 



"8 



C'=-7288+030xf^='7752, 



b'U14 



'^D-l=--03194 + -030rOGGG7- '!'^-0438;A 



= -•03194- -000035. 

 In the former case 



D = -82171 or k< -82171 ; 



in the latter 



D = -82168 or £<-821GS. 



The introduction of a B' term evidently makes very little 

 difference, and it seems probable that we are approaching 

 the actual value of k very closely. 



In the first case, 



B' = 0, C' = -729, 



then A = -271, B = 0, and 0=§C'='486. 



In the second case, 



B' = -030, C' = -775, 



then A = -195, 



C = -517, B = -0G0. 

 Phil 3%. S. 6. Vol. 30. No. 175. July 1916. L 



