316 Sir William Herschel's observations and experiments 
numbers annexed to the stars expressing their orders of dis- 
tances in terms of the distance of ct Lyras from us. 
To find stars of the intermediate orders of distances, the 
following Table gives the proportional light that should be 
used with the star which is made the standard; for instance, 
a star of the 2d order of distances, with £• of its light, will 
equalise a star of the 3d order; of the light of a star of 
the 3d order of distances will give one of the 5th order, and 
so on. 
A star of the order 
With the proportion 
Gives one of the order 
of distances. 
of its light. 
of distances. 
1 . . 
• • t * 
. 2 
2 . . 
4 
. . 9 . 
• 3 
I 
* * 4 * 
• 4 
3 • • 
9 
* * 2 5 - 
• 5 
A 
• • 4 
. 6 
4 . • 
* • 49 * 
• 7 
I 
4 • 
. 8 
5 • • 
*5 
* ‘ 8 1 * 
• 9 
I 
• • 4 
• 10 
6 . . 
. 11 
L • T • 
. 12 
Some other proportions of light useful for fractional dis- 
tances are T 9 F , ff, Jf, £4, and 4f4- 
The results of equalisations that are made with different 
standard stars, may be connected together by an equalisa- 
tion of the standards ; by which means many different sets 
may be brought to support each other. For instance, Ca- 
pella with |£ of its light is of an equal lustre with Procyon, 
which therefore is of the i£ order of Capella, and Sirius with 
