for ascertaining the distances of clusters of stars, &c. 451 
“ 1783, 1787, 1799, 20 feet telescope. A brilliant cluster; 
“ about 6 or 7 minutes in diameter.” 
“ 1805, large 10 feet telescope. The most condensed part 
“ is 3' 1 6" in diameter.” 
The profundity of this cluster, by the observation of the 7 
feet telescope, is of the 243d order. 
Observations of the gjth of the connoissance. 
“ 1 799 > 7 feet finder. The object is not visible in it.” 
“ 1789,20 feet telescope ; considerably bright, globular, 
“ of equal light throughout, with a diminishing border of no 
“ great extent. About 3 minutes in diameter.” 
“ 1805, large 10 feet telescope. The constellation being 
“ too low it had the appearance of a faint nebula.” 
From the observation of the 20 feet telescope, it appears 
that the profundity of this object is beyond the gaging power 
of that instrument ; and as it must be sufficiently distant to 
be ambiguous, it cannot well be less than of the 980th 
order. 
III. Of a method to represent the profundity of celestial objects in 
space by a diagram. 
In order to represent the profundity of celestial objects in 
space, I shall have recourse to the construction of an astrono- 
mical globe, on the surface of which the situations of the 
heavenly bodies are pointed out to us in the given two dimen- 
sions of right ascension and polar distance; but as their 
distance from an eye placed in the centre of the globe cannot 
be expressed by their situation on the surface, I shall 
endeavour to show that this deficiency may be artificially 
mdcccxviii. 3 N 
