CATALOGUE OF POLAR STARS. 



243 



Computation of 



d 2 a 



By Bessel's Formula?. 



log tail 2 d 



log sin '2 a 



log constant 



log (1) 



log tan 5 

 log cos a 

 losr constant 



log (2) 



log sin 2 « 



3.5107897 



9.8460234ft 



6.1138956 



9.4707087rc 



1.7553949 



9.5786708ft 



6.4752367 



7.8093024ft 



9.8460234ft 



log constant 5.8128656 



log (3) 

 log tan 8 

 log sin a 



5.6588890ft 



1.7553949 

 9.9663226 



log constant 4.7509145ft 



(4) 



6.4816320ft 



dt 



By Hill's Formulae. 



da 



log — - 

 ° dt 



log constant 



1.8663720 



log 



(1) 



da 



1°£ T~ 



" dt 



log cos « 

 log tan 8 



4.6338048ft 

 6.5001708/* 



1.8663720 



9.5786708ft 

 1.7553949 



log constant 5.9877809 



log (2) 



, d8 



loir. — 

 ° dt 



9.1882186ft 



0.8808764ft 



log 



sin « 



9.9663226 

 3.5109236 

 log constant 4.8116896 



log sec 2 8 



log 



(3) 



9.1698122ft 



By Mcnton's Foramina. 



log sin 2 a 9.8400234ft 



log constant 5.8128656 

 log 



constant 



(1) 



5.6588890ft 

 + .00001899 



(1) 



A 



.00002660 



log sin a 



9.9663226 



log constant 4.7599145*1 



log 



(1) 



log cos a 



log constant 6.4752367 



log 



CO 



6.0539075ft 



(1) 



(2) 

 B 



log B 



.Cm 1058239 



.000132161 



-.000185400 

 6.0738049ft 



.00004559 loir tan 8 1.7553949 



log 11 tan 8 

 log sin 2 a 



7. 8292598ft 



9.8460234ft 



log constant 6.118*956 



loff C 5.96991 90n 



4.726237 In 



9.5786708ft lofftan«« 3.5107897 



log Clan* 8 9.4707087/1 



8. 



Constant +0.00001899 



s. 



t. 



(1) 



(2) 



(3) 



(4) 

 <Pa 



dt 2 



.29560297 

 .00044618 

 .00004559 

 .00030313 



0.30237888 



Constant +0.00003221 



.00031635 

 .15424766 

 .14784689 



(1) 

 (2) 



(3) 



d* 



a 



dt 



0.30237869 



A 



7? tan 8 



V tan 2 8 



d*a 

 dt 3 



0.000(12660 



.00674981 

 .29560297 



0.30237888 



Computation of 



d 2 8 



log tan 8 



loo- sin 2 a 



log 



1.7553949 

 9.9326452 

 log constant 7.2899869ft 



8.9780270ft 

 9.9663226 

 7.6513280ft 

 7.6176506ft 



9.5786708ft 

 5.9360108/i 

 5.5146816 



(1) 



log sin a 

 lo<r constant 



» 



o 



) 



log cos a 

 log constant 



(3) 



, d8 



b dt 



log (1) 



da 



loff — 

 ° dt 



log sin a 



0.8808764ft 



log constant 4.6338048ft 



5.5146812 



1.8663720 



9.9663226 



log constant 7.1638722ft 



log (2) 



8.9965668ft 



log sin a 9.9663226 



log constant 7.6513280ft 



7.0170506ft 

 9.5786708ft 



6.93601 08n 



5.5146816 



log (1) 

 log cos a 



log constant 



log (2) 



(1) 

 (2) 

 A' 



log sin 



« 



log constant 

 log B' 

 loir tan 8 



log B' tan 8 



- .004146 

 + .000033 

 .004113 



9.9326452 



7.2899809/1 

 7.2226321/1 

 1.7553949 

 8.9780270;* 



(1) 



(2) 



(3) 

 <F8 



dt 2 



s. 



rr 



0.095066 

 .004146 

 + .000033 



0.099179 



(1) 

 (2) 



ft 2 8 



dt* 



+ 0.000033 

 - .099212 



0.099179 



A' 



B> tan 8 



d 2 8 

 dt 2 



0.004113 

 .095066 



0.099179 



