23G 



CATALOGUE OF POLAR STARS. 



a 



h . m. 8. 



7 5G 59.874 



«/ in arc 



z' 



V 



+ 119 14 58.110 

 + 09 14.911 



A' 



+ 119 5 43.199 



a 



z + I 



A 



+ 112 1G 24.465 

 + 09 11.181 



+ 112 25 35.646 



4 W + -4) 



ft W 



^) 



i0 



+ 115 45 39.422 

 + 3 20 3.77G 

 + 04 0.G385 



c 



+ 43. G 



5 



10.2 



c 



r 



1.2 



s 



/ 



+ 3G1.3 



P 



+ 43.G + 1.2 



•j 



41GG0 



0.00054 



7 







+ 0.15984 



ff 



t 



t' 



o 



log cos I (A/ + A) 



log cos £ (^1/ 



A) 



9.638107bi 

 9.9992G41 



cos I {A ,' + A ) 



IOS cos £ (.1/ - J.) 



9.63S8430n 



log tan 4 



a 



7.0669400 



log tan \ (8' 



S) 



G.7057830/* 



log sin £ (A/ + .4) 



log sin ^ (^1/ 



^) 



9.9545393 

 8.7640475 



. sin 4 (.4/ + A) 



log . t ; , . rx 



& s i i i i (.1 / - A) 



log tan 4; 



log co tan £ (o - ' + d) 



1.1898918 



7.0GG9400 



8.2568318 



// 



41660 



d 



1 44.763 



1166.1 



df +88 57 54.285 



7 





10.2 



361 .3 



1166.1 



+ 0.15930 



B + 7 



+ 0.15876 



rr 



88 59 37.69 



88 59 39.048 



SB 



+ 0.15984 



8.496 



*. 



a 



h. m. 



7 56 59.874 



log (p 1 + y) 9.2007411 



x 



0.566 



log x 



0.9292145m 



a 



i 



7 56 59.308 



log (j3 + y) x 0.1299556m 



(0 + 7) * 

 df + d 



d' 



o / // 



-1.349 



88 56 9.522 



88 56 8.17 



Development of the Functions a and 8 by Means of Differential Coefficients, expressed in Terms 



of the Ascending Powers of the Time. 



Given a and S for any time 4> to obtain a and S for any time t\ we have, by 

 Taylor's Theorem, 



c?« 



2 d* 



2.3 dP 



2.3.4 </* 4 



» - ** '- 8 « - « + j £ ( , - „> + » £■ ( , - ,j. + » ^ ( , - «. +> *<, d6> 







J« 



2 rff 



2.3 d* 



2.3.4 tf* 4 



