294 



CATALOGUE OF POLAR STARS. 



logsnm 8.89801« 

 log 16 1.20412 



log sum 



log 16* 



log X 



log 24 



1 f?'*« 

 log— ■ 



24 dt" 



0.02297 

 4.81648 

 5.20649 

 1.38021 



3.82628 



log sum 

 log 16^ 

 log y 

 log 120 

 1 f?'«« 



9.06819« 

 6.02060 

 3.04759m 

 2.07918 



0.96S41M 



— — = +0.00000067032 

 24 dt' 



1 ff' 



120 dt^ 



= - 0.00000000062985 -- 



1 r?" 



720 df 



' = -0.00000000005779 



These values of the partial differential coeflficients represent exactly all the 

 values of Y^— Yi given on page 2G7 for every year from 1875 to 1803. 

 The residuals are as follows: 



We shall find in a similar manner from the sixteen-j'ear intervals the following 

 values of the coefficients of t, f, f, &c., from the residuals Y^ — Y^ from 1875 to 

 1955, given on page 268, viz. : 



