a Spherical Gaseous Nebula. 
705 
r 
P 
P 
e 2 
m 
EB<T 
00 
1 

1-21 
•275 
•2491 
6-697 
•2511 
7-19 
•250 
•2076 
7-905 
•2069 
8-39 
•225 
•1673 
9-38 
•1647 
9-S6 
•200 
•1295 
11-20 
•1260 
11-64 
•195 
•1223 
11-61 
•1189 
12-03 
•190 
•1153 
12-04 
•1118 
12-46 
•185 
•1085 
12-50 
•1048 
12-89 
•180 
•1017 
12-97 
•0982 
1335 
•175 
•0952 
13-47 
•0918 
13-83 
•170 
•0889 
13-99 
•0855 
14-34 
•165 
•0828 
14-53 
•0795 
14-86 
•160 
•0769 
15-10 
•0738 
15-40 
•155 
•0712 
15-71 
•0681. 
16-10 
•150 
■0B57 
16-34 
•0528 
16-59 
•145 
•0605 
1701 
•0577 
17-22 
•140 
•0554 
17-71 
•0529 
18-04 
•135 
•0506 
18-45 
•0483 
18-61 
•130 
•0461 
19-23 
•0439 
19-35 
•125 
•0418 
2006 
•0398 
20-14 
•120 
•0377 
20 95 
•0359 
20-98 
•115 
•0339 
21-89 
•0322 
21-88 
•110 
•0303 
22-88 
•0288 
22-82 
•105 
•0269 
23-95 
•0257 
23-83 
•100 
•0238 
25-10 
•0227 
24-94 
§ 38. From this table we see that it is possible to have 
the same mass of an ideal Boylean gas (e 2 m / Jtjl$cr'=21'9) 
distributed in two different equilibrium conditions within a 
given sphere (o-/r='115). We see also that in all smaller 
spheres the mass has increased, and in greater spheres it has 
decreased, through the alteration o£ density at the centre 
from 1 to 1*21. Indeed, when we trace the changes in the 
condition of any stated mass of a Boylean gas as its central 
density ideally increases from very small to very great values, 
we find that its radius diminishes till a certain central 
density has been reached, after which it increases till it 
becomes infinite. 
§ 39. By taking any two values of C in equation (26) 
above, and comparing the two solutions thus obtained as in 
§ 37, it may be verified that results similar to those found 
in the case of a finite mass of an ideal Boylean gas, are 
found also in the case of a finite mass of any gas for which 
k > 3, or k < 1J ; while for any finite mass of a gas for 
which /c<3, an increase in the density at the centre is 
always accompanied by a decrease in the radius of the shell 
enclosing the mass in equilibrium. These differences in the 
