154 PROCEEDINGS OP THE AMERICAN ACADEMY 



The following tables contain: — 



TABLE I. 



The residuals, in thousandths of seconds, obtained by subtracting the ob- 

 served from the computed places, after applying, in each case, the correction 

 for equinox, e, which is obtained by dividing the difference between the sum of 

 the positive and the negative corrections by 30, the number of stars employed. 

 In the first approximation, neither a Canis Majoris nor a Piscis Australis will be 

 used, the results for these stars being included in brackets. 



The sum of the residuals for each observatory is designated by [v\. 



TABLE IL 



The residuals, arranged in order of declination, obtained by subtracting from 

 the residuals in Table I. the periodic errors of single period, derived from the 

 following normal equations for the mean date 1864 : — 



s. s. 



For Greenwich . . . 17.58 m + .26 n = 2 r sin a = —.189 m = —.011 



.26 m + 12.32 n = S r cos a = +.100 n = +.008 



For Washington, I. . . 17.58 m + .26 n = 2 ?• sin a = — .159 711 = — .009 



.26 m + 12.32 n = 2 r cos a = +.119 n = +.010 



For Washington, II. . . 17.58 m + .26 w = 2 r sin a = —.640 m = —.037 



.26 m + 12.32 n = 2 r cos « = +.247 n = +.021 



For Paris 17.58 m + .26 n = 2 r sin a = —.379 m = —.022 



.26 n + 12.32 n = 2 r cos a = +.266 n = +.022 



For Melbourne . . . 17.58 m + .26 n = 2 r sin a = — .593 rn = — .034 



.26 n + 12.32 « = 2 r cos a = +.249 n = +.021 



For Brussels .... 17.58 ?n + .26 n = 2 r sin a = —.661 m = —.038 



.26 n + 12.32 ?i = 2 r cos a = +.252 n = +.021 



For Oxford 17.58 m + .26 n = 2 r sin a = —.226 in = —.013 



.26 n + 12.32 n = 2 r cos a = +.262 n = +.022 



For Edinburgh . . . 14.67m— .39n = 2 r sin a = — .136 m = — .009 



.39 m + 11.23 ?! = 2 >• cos a = +.107 n = +.010 



For Harvard College . 16.87 m + .71 n = 2 r sin a = —.019 m = —.001 



.71 m + 12.03 H = 2 r cos a = +.106 n = +.003 



