318 APPENDIX. 



Again, by art. 143 we obtain 



f=185 10 31&quot;.7S 

 &quot;=189 25 30.25 

 log f = 0.4749722 

 log r&quot;= 0.4744748 



i (*&quot;-(-) = 264 21 48&quot;.61 . 



i(w&quot;_w) = 288 49 5.19 

 2/ = 6 57 7 .46 

 2/&quot; = 6 56 32 .68 



The sum 2/-|-2/&quot;, which is a check, only differs by 0&quot;.20 from 2/ , and the 



equation 



p_rsin2/&quot; _i 

 ^ : ~ i&quot; sin 2/ ~~ n 



is sufficiently satisfied by distributing this 0&quot;.2 equally between 2/ and 2/&quot;, so 

 that 2/= 659 7&quot;.36, and 2/&quot; = 656 32&quot;.58. 



Now, in order that the times may be corrected for aberration, the distances 

 (j, () , Q&quot; must be computed by the formulas of Art 145, and then multiplied into 

 the time 493 or O d .005706, as follows : 



logr 0.47497 



log sin (AD Q .... 9.51187 



comp. log sin d 0.32533 



log 9 0.31217 



log const 7.76054* 



log of reduction 8.07271 

 Reduction == 0.011823 



log /, 0.47497 



log sin (d z) 9.44921 



comp log sin if, 0.38509 



log of reduction 0.30927 

 Reduction, 0.011744. 



* The constant of aberration is that of M. Struve. 



