on the local arrangement of the celestial bodies in space . 315 
us, we should see it as a star of the 4th magnitude, and also 
as one of the 4th order of distances. 
Proceeding in the same manner with p Pegasi taken as a 
standard, I found that its light reduced to J was equal to that 
of q (Fl. 70.) Pegasi, when seen in the equalising telescope; 
and that consequently Arcturus, removed to 8 times its pre- 
sent distance from us, would put on the appearance of a star 
which in our catalogues is called of the 5th or 6th magnitude, 
but which would in fact be of the 8th order of distances. 
As the foregoing experiments can only show that a star of 
the light of Arcturus might be removed to 8 times its distance, 
and still remain visible to the naked eye as a star of between 
the 5th and 6th magnitude ; it will be proper to take also 
other stars of the first magnitude for the original standards. 
For instance, if we begin from Capella as the standard star, 
we may with ~ of its light equalise /3 Aurigae and (3 Tauri, 
which stars will therefore be of the 2d order of distances. 
With £ of the light of /3 Tauri we equalise £Tauri and / Aurigas ; 
they will then be of the 4th order. With £ of the light of 
1 Aurigae we can equalise e Persei and H Geminorum which 
will be of the 8th order. And with of the light of H Ge- 
minorum we equalise d Geminorum, which makes it a star of 
the 10th order. That is to say, if Capella were successively 
removed to 2, 4, 8 and 10 times the distance at which it fs 
from us, it would then have the appearance of the stars which 
have been named. 
A similar deduction may be made from a Lyras, as £ of its 
light equalises it with /3 Tauri ; for it will be « Lyras 1, /3 Tauri 
2, t Aurigae 4, H Geminorum 8, and d Geminorum 10 : the 
