Ball — On the Binary Star ^ Ursae Major is. 
325 
TABLE ly. 
The observed Distances of ^ Ursae Majoris, compared with the Radii 
vector es in the Projected Ellipse y Fig. 2. 
No. 
Observed 
Distance. 
Distance on 
Fig. 2, in 
Millimetres . 
4 
2"'560 
51 '0 
6 
2 -810 
55 '5 
6 
2 -442 
53-5 
7 
1 -715 
52-4 
8 
1 -761 
53-6 
9 
2 -445 
72-0 
10 
2 -441 
77-5 
11 
2 -481 
80-0 
12 
3 -013 
93-5 
13 
2 -898 
97-0 
14 
3 -010 
97-4 
15 
2 -957 
97-3 
16 
3 -182 
94-5 
17 
2 -557 
79-0 
18 
2 -442 
71-0 
19 
2 -060 
65-0 
20 
1 -900 
59-5 
21 
1 -740 
54-0 
22 
1 -315 
32-5 
Total, . 
45" -729 
1336-1 
The observed distances are given in the second column ; the cor- 
responding distances in millimeters from B to the circumference of 
the ellipse, Fig. 2, are found in the third column. We have now to 
find the angular magnitude corresponding to one millimeter, on the 
scale we have adopted. The sum of the observed distances is 45"'799, 
the sum of the corresponding quantities in the third column is— 
1336-1. 
' Dividing the former by the latter, we have as the average value of 
one millimeter 
0"-0342247, 
whence, AC ^ 62"*'" -6 = 2"'1425. 
