in SPHERICAL BODIES. 363 
{3- 1. THE general conclufions which refult from all this 
are, that when we fuppofe an ignited nucleus of a given mag- 
nitude, and a given intenfity of heat, there is in the {phere to 
which it communicates heata fixed temperature for each par- 
ticular ftratum, or for each fpherical fhell, at a given diftance 
from the centre ; and that a great intenfity of heat in the inte- 
rior, is compatible with a very moderate temperature at the 
furface. 
2. HowEver great the {phere may be, the heat at its furface 
cannot be lefs than a given quantity ; R, 7, H and T remain- 
ing the fame. It muft.be obferved, that though R is put for 
the radius of the globe ; it fignifies in fact nothing, but the dif 
tance at which the temperature is T, as r does the diftance at 
which the temperature is H. 
THEREFORE were the fphere indefinitely extended, the tem- 
perature at its fuperficies would not be lefs than the quantity 
RT—rH 
R— 
ceding examples, than — 44.4 in the fecond, or — note 4 in 
the third. 
, that is, not lefs than 50.5 in the firft of the~pre- 
4 
14. In all this the fphere is fuppofed homogeneous ; but if it 
be otherwife, and vary in denfity, in the capacity of the parts 
for heat, or in their power to conduct heat, providing it do fo 
as any function of the diftance from the centre, the calculus 
may be inftituted as above. For example, let the denfi- 
ty be fuppofed to vary as rs ~, then we have as before 
(b—B’) («’3 — x) mn for the momentary increment of 
heat in a ftratum placed at the diftance x from the centre, 
LZ 2 or 
