144 



EOGEES AND McLEOD ON THE 



Time. 



h. 

 14.7 

 16.3 



14.0 

 14.2 

 14.8 

 16.0 



AT 



+ 13.43 

 + 13.45 



+ 13.54 

 + 13.49 

 + 13.44 

 + 13.35 



The meau value of J 7" for the entire series is + 13''.381 



Subtracting equations I and II from equation III, on page 35, and dividing by the 

 co-efficient of c, we haA^e : 



For Circle East. 



For Circle West. 



U = + 1 .13 — 1.64u + c 

 0= + 0.60 — 1.07(1 + <: 



= + 1.73 — 1.61a — <■ 

 0= + 1.29 — 1.18a — c 



From which with the val vie of t- ^ + .25, we obtain 



((= + 0.84 

 u = + 0.80 



u= + 0.92 



a= + 0.88 



It will be seen that, while these equations are not suitable for the determination of a 

 and c, they form an excellent check upon the deriA'ed value of a, with an assumed value of c. 



On the following pj-ges will be found the equation for each star observed, arranged 

 in the order of declination. The values of J„ = [(T -\- Bb — /■;) — «] have been reduced 

 to the time given by means of the adopted hourly rate. The means for each group are 

 printed in antique type. 



On the right hand side of the page will be found, the computed value of — JTfor 

 each star with the values of a and c given. These values result from the least square 

 solution between a and c. The residuals given in antique type are found by comparing 

 the adopted mean value of — JT with the mean value for each group of time stars, and 

 for each separate polar star. In those cases, in which the unknown quantities have been 

 derived from the equations for each position of the telescope separately, the residuals are 

 given on the extreme right. 



