2i 8 Dr. HeRschel v s Catalogue of a fecond Thoufand 
Tiypothefis than that which we maintain, and which, for this 
reafon, ought to be admitted. 
The laft thing to be inferred from the above related appear- 
ances is, that thefe clutters of ftarsare more condenled towards 
the center than at the furface. If there fhould be a group of 
ttars in a fpherical form, confifting of fuch as were equally 
fcattered over all the affigned fpace, it would not appear to be 
very gradually more comprefled and brighter in the middle; 
much lefs would it feem to have a bright nucleus in the center. 
A fpherical clutter of an equal compreffion within, — for that 
fuch there are will be feen hereafter, — may be diftinguifhed by 
the degrees of brightnefs which take place in going from the 
center to the circumference. Thus, when a is the brightnefs 
in the center, it will be \J a — at any other diftance x from 
the center. Or, putting a=i 9 and #2= any decimal fraftion; 
then, in a table of natural fines, where x is the fine, the 
brightnefs at x will be exprefled by the cofine. Now, as a 
gradual encreafe of brightnefs does not agree with the degrees 
calculated from a fuppofition of an equal fcattering, and as the 
clutter has been proved to be fpherical, it mutt needs be ad- 
mitted that there is indeed a greater accumulation towards the 
center. And thus, from the above-mentioned appearances, we 
come to know that there are globular clutters of ttars nearly 
equal in fize, which are fcattered evenly at equal diftances 
from the middle, but with an encreafing accumulation towards 
'the center. 
We may now venture to raife a fuperftrufture upon the 
arguments that have been drawn from the appearance of 
clutters of ttars and nebulae of the form I have been examining, 
which is that of which I have made mention in my “ fbeoreti - 
7 44 cal 
