236 



CATALOGUE OF POLAK STARS. 



a 



«/ in arc 



2' - ;.' 



A' 



a 



z + I 

 A 



i (A' + A 



i (A' - A 

 id 



h. m. 8. 



7 00 59.874 



+ 119 14 58.110 

 + 09 14.911 



+ 119 5 43.199 



+ 111' IG 'J4.465 

 + 09 11.181 

 + 112 25 35.G46 



+ 115 45 39.422 

 + 3 20 3.77G 

 + 04 U.6385 



log cos h (A/ + A) 



log cos i (.4/ - A) 



„ cosJJ^i' + A) 



° ^^^mT(A7^^A 



log tan ^ d 



log tan i (5' - 5) 



log sin i (A^' + A) 



log sin J {A/ — A) 



sin i (A^i + A) 

 *S sin I (A,' - A.) 



log tan h 



log cotan I {8' + S) 



9.G381071n 

 9.9992G41 



9.G388430/1 



7.0009400 



C.7057S30» 



9.9545393 

 8.7046475 



1.1898918 



7.0GG9400 



8.25G8318 



s 



c = +43.6 



c' = - 1.2 s 



^==H -41660 ) 



- 10.2 

 '= +3G1.3 



= -0.00054 



41660 

 J.- (3= +0.15984 



t -41660 

 <' - 1166.1 



f? - 1 44.703 



(Z' + 88 57 54.285 



^' = -{ 11G6.1 ) -"■'■'' 

 § + )■= +0.15876 



15930 



88 59 37.69 - 88 59' 39.048 ",„„ 

 X = - ^ ,..,.,. = - 8.496 



+ 0.15984 



A. 771. 8. 



«,' = 7 56 59.874 

 X — -0.566 



a' = 7 56 59.308 



log i§ + -/) 9.2007411 

 log X 0.9292145m 



log (§ + ■,)x 0.1299556» 



((5 + 7)x -1.349 

 cV + (? 88 56 9.522 

 <J' 88 56 8.17 



Development of the Functions « and 8 hy Means of Differential Coefficients^ expressed in Terms 



of the Ascending Powers of the Time. 



Given oq and \ for an}' time /(,, to obtain a and 8 for any time i' , Ave have, l)y 

 Taylor's Theorem, 



