188 
what he terms the standard scale , or Argelander’s extended 
to the lower magnitudes by the adopted light-ratio of 2*512. 
The comparison was facilitated by the simplicity of the nota- 
tion in the Bedford Catalogue (whole and half magnitudes 
only being employed), and in the annexed table will be found 
the corresponding magnitudes of the three observers, together 
with the number of comparisons on which each result 
depends. 
Table I. 
Mag. 
Sm. 
Mag. 
2. 
No. of 
Obs. 
Mag. 
A. 
No. of 
Obs. 
1 
1*3 
5 
1*3 
7 
1*5 
1*5 
1 
1*4 
3 
2 
2-0 
3 
2-1 
13 
2*5 
2*6 
2 
2*3 
12 
3 
2*9 
12 
3-0 
36 
3*5 
3*3 
14 
3*4 
22 
4 
3*8 
27 
3*9 
28 
4*5 
4*3 
19 
4*4 
16 
5 
4-8 
40 
4*9 
35 
5*5 
5*1 
41 
5*3 
33 
6 
5*8 
87 
5*9 
59 
6*5 
! 6*2 
45 
6*3 
27 
7 
6*5 
81 
6*9 
37 
7*5 
6*9 
79 
7*3 
23 
8 
: 7-4 
101 
8*1 
47 
8*5 
7*8 
85 
8*5 
20 
9 
8-4 
75 
9*0 
34 ; 
9*5 
8*8 
21 
9*2 
6 
10 
9*4 
25 
9*4 
6 
10*5 
9*7 
5 
11 
10*0 
24 
12 
10*2 
13 
13 
10*7 
20 
14 
10*3 
6 
15 
11*0 
8 
16 
10*9 
3 
Treating the numbers in the preceding table in accordance 
with Sir John Herschel’s formula (Mem. R.A.S., vol. iii., 
p. 179), 
