56 
catalogue; of stars within 
places than does the final solution, since the latter involves the un- 
known stars also, which far outnumber the standards. However, the 
deviation is not so great as to throw doubt upon the validity of the 
method of inter-adjustment and its results. 
TABLE XIV. — Residuals, Photographic minus Heuometer. 
Preliminary solution. 
Final solution. 
Star. 
No. 
Plates. 
Aa sin ir 
Att 
Aa sin TT 
At 
II 
// 
// 
// 
a 
4 
- -17 
— .01 
- -38 
+ .06 
^ 
2 
+ .11 
- .16 
+ .11 
.00 
5 
5 
+ .02 
- 05 
— .01 
— .11 
€ 
2 
- .05 
+ .28 
- -24 
+ .38 
f 
2 
+ -13 
- -34 
- 03 
— .21 
V 
2 
- .04 
+ .34 
- -IS 
4- .60 

2 
- .08 
+ .04 
- -25 
+ .38 
I 
4 
+ .13 
- 13 
+ .14 
- .06 
K 
2 
- -27 
- 03 
- .46 
+ .12 
X 
I 
- .16 
- 13 
- .03 
- .26 
M 
2 
+ .17 
+ .05 
+ -49 
- 03 
V 
4 
- .09 
+ .09 
+ .05 
4- .18 
1 
I 
- 03 
+ .03 
+ .40 
+ .04 

2 
+ .08 
- -13 
+ .40 
- .13 
IT 
2 
+ .06 
+ .03 
4- .22 
- 03 
P 
5 
+ .14 
+ .18 
+ .03 
4- .28 
a 
2 
.00 
— .01 
+ .12 
- .28 
T 
2 
+ .29 
- .18 
+ .29 
- -32 
V 
2 
.00 
— .21 
.00 
- -45 
<t> 
5 
- .18 
- .18 
- 41 
- -33 
i^ 
4 
+ .02 
— .11 
- .09 
- .28 
X 
2 
- 03 
+ .13 
4- .03 
- .06 
w 
4 
+ .04 
+ .16 
- .06 
+ .17 
Magnitudes. — These were determined both photographically and 
visually by estimation. In the examination of the plates, the faintest 
stars measured were assumed to be of the twelfth magnitude. For 
the brighter stars the photographic magnitudes contained in the 
Harvard Annals, Vol. XVIII, p. 149, were taken as standards of com- 
parison. Fortunately these were so distributed that some of them 
appeared on every plate. The mean results of the estimates from the 
different plates were taken as the adopted magnitudes. 
The visual magnitudes were determined with the aid of the 12-inch 
equatorial, using the Argelander method and basing the comparisons 
upon the magnitudes found in Carrington's Redhill Catalogue of Cir- 
cumpolar Stars. These had been determined by Carrington with 
great care, using the method of extinction (c/. Sec. 10, p. xxv), and 
