246 



CATALOGUE OF POLAR STARS. 



Coinputation of -7^ and — : 



By Bessel's FonnnlEe. 



dt* 



log tan^ 5 



log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 



siu 4 a 

 constant 



(I) 

 tan'' 3 



cos 3 a 



constant 



sin 4 ft 

 constant 



(3) 



tan'' a 

 sin 2 a 

 constant 



tan 5 

 cos 3 a 

 constant 



(5) 

 tan 5 



cos « 



constant 



(6) 



log sin 4 a 

 log constant 

 log (7) 



log 



log sin 2 a 



log constant 

 1"- (8) 



log 



7.0215795 



9.9999457 



8.8676086 



5.8891338 



5.2661846 



9.9684456 



9.5299797 



4.7596099 



8.5107897 



9.9999457 



g.8676086 



2.3783440 



3.5107897 



9.8460234» 



9.6330799» 



2.9898930 



1.7553949 



9.9634456 



9.4050410 



1.1238815 



1.7553949 



9..5786708M 



8.9667501W 



0.3008158 



9.9999457 

 7.9645186 

 7.9644643 



9.8460234W 

 9.3320498W 

 9.1780732 



d*J 

 dt* 



-— los: tan' d 



log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 

 log 



constant 



(1) 



tan' d 

 sin^ a 

 cos- a 

 constant 



(2) 



tan'^S 

 sin a 

 constant 



(3) 



tan= 5 

 sin a 

 cos- a 

 constant 



tan 3 

 sin'- a 

 constant 



(5) 

 tan d 

 constant 



(6) 

 tan 8 

 sin* « 

 constant 

 (') 



5.2661846 



9^8652904 



9.7426700 



4.8741450 



5.2061846 



9.9326452 



9.157.3416 



0.3447299W 



4.7009013?!, 



3.5107897 



9.9663226 



0.4050411 



3.8821534 



3.5107897 



9.9663226 



9.1573416 



0.8821623 



3.51C0162 



1.7553949 



9.9326452 



0.8333289 



2.5213690 



1.7553949 



0.4653522/1 



2.2207471W 



1.7553949 



9.8652904 



9.2655487 



0.8862340 



log tan 8 

 log sin'- « 

 log cos- a 

 log constant 

 log (8) 

 log sin a 

 log constant 

 log (9) 

 log sin a 

 log cos- a 

 log constant 

 log (10) 



1.755.3949 



9.9326452 



9.1573416 



0.1686387« 



1.0140204« 



9.9G63226 



0.4248824 



0.3912050 



9.9G63226 



9.1573416 



0.405041 1» 



9.5287053« 



(1) -f 0.00007747004 



(1) -1-0.0000074842 



d*a 

 dl* 



(2) + 



(3) + 



(4) + 



(5) + 



(6) + 



(7) + 



(8) + 



574923 



2389 



9770 



133 



20 







1 



-1-0.00008334240 



