189 
w,«, m n 
Sj S 
m'n 1 1 • S 
S 1 j n x + n + n } 
where S x S S 1 represent any three consecutive numbers in 
column 1 , m x m m 1 the corresponding numbers in columns 
2 or 4, and n x n w 1 the corresponding number of observations 
in each case, we obtain the following table of equalised 
results. 
Table II. 
Mag. 
Mag. 
No. of 
Mag. 
No. of 
Sm. 
S. 
Obs. 
A. 
Obs. 
1 
1-30 
5 
1-30 
7 
1-5 
1-76 
9 
1-67 
23 
2 
2-03 
6 
1-96 
28 
2-5 
2-45 
17 
2-49 
61 
3 
2-89 
28 
2-94 
70 
3-5 
3-33 
53 
3-44 
86 
4 
3-79 
60 
3-98 
66 
4-5 
4-29 
86 
4-40 
79 
5 
4-73 
100 
4-87 
84 
5-5 
5-25 
168 
5-38 
127 
6 
5-72 
173 
5-85 
119 
6-5 
6-27 
213 
6-37 
123 
7 
6-52 
205 
6-84 
87 
7-5 
6-94 
261 
7-48 
107 
8 
7-39 
265 
8-00 
90 
8-5 
7-86 
261 
8-55 
101 
9 
8-33 
181 
8-97 
60 
9-5 
8-86 
121 
9-39 
46 
10 
9-33 
51 
9-40 
6 
10-5 
9-74 
54 
11 
10-00 
42 
12 
10-39 
57 
13 
10-66 
39 
14 
10-85 
34 
15 
10-88 
17 
16 
10-90 
3 
An examination of the tables suggests the following re- 
marks. The scale of the Bedford Catalogue— (it should he 
borne in mind that the mag. of the principal star in each 
