189 
^ ( m x n x m n m l n x ) S 
M + -cT— + -cn- \ T 
( S x S S 1 j ?^ 1 + n + n 
where S x S S 1 represent any three consecutive numbers in 
column \, rrii m m 1 the corresponding numbers in columns 
2 or 4, and n x n n l the corresponding number of observations 
in each case, we obtain the following table of equalised 
results. 
Table II. 
Mag. 
Srn. 
Mag. 
2J. 
No. of 
Obs. 
Mag. 
A. 
No. of 
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 j 
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 
