SECT. 1.] 



THREE COMPLETE OBSERVATIONS. 



211 



Now, in order that the times may be corrected for aberration, it is necessary to 

 compute the distances (&amp;gt;, (&amp;gt; , (&amp;gt;&quot; by the formulas of article 145, and afterwards to 

 multiply them by the time 493 , or O rf .005706. The following is the calculation, 



logr . . . . 0.33002 logr . . . 0.32513 log/ .... 0.32128 



log sin (&amp;lt;T z) 9.48384 

 C. log sin y . 0.27189 



logsm(AZX ) 9.23606 

 0.50080 



C. log sin d 



logsin (4&quot;ZX C&quot;) 9.61384 

 0.16464 



C. log sin 9&quot; . 



Observations. 



Corrected times. 



Intervals. 



Logarithms. 



The corrected logarithms of the quantities 6, &&quot;, are consequently 9.2343153 and 

 9.3134223. By commencing now the determination of the elements from /, /, 

 r&quot;, & we obtain log TJ = 0.0002285, and in the same manner from /&quot;, r, /, 6&quot;we 

 get log if = 0.0003191. We need not add here this calculation explained at 

 length in section III. of the first book. 

 Finally we have, by article 146, 



The first hypothesis, therefore, results in X = 0.0000854, Y 0.0001607. 



