FIGURE OF EQUILIBRIUM OF A ROTATING MASS OF LIQUID. 
305 
Term of first order . . . 
Ss 
± -1482276 
Terms of second order pro- 
portional to . . . . 
(SsY 
- -010986 
S; 
•061844 
S- 2 ^ 
•000751 
S 4 
•092715 
•000849 
•000000 
•026647 
•002011 
•000001 
•184067 
- -011737 
- -011737 
•172330e2 
The following are then the results for the normal departures at the several 2 )oints 
whose rectangular co-ordinates are specified ;—■ 
Meridian (ij = 0 }. 
% — 1, cr — 0, 
2 — 
-961, 
X = 
•096 
2 = d- 
-832, 
X = 
•191 
z = ± 
-480, 
X = 
•303 
2 = 
0, 
X = 
•345 
hn= ± -14826 + -17236^. 
Sii = ± -09326 -f -08586^. 
Stt = ± -01896 -h -01036^ 
Sii = =F -02236 - -0033eu 
Sn = -f -00466®. 
Equator {x = 0 ). 
z= ±1, y 
2 = + -866, y 
2 = i '5, y 
2=0, y 
0, 8u 
-216, hi 
-374, hi 
-432, hi 
± -14826 -f -I723e®. 
± -03006 + -12656®. 
=F -03546 - -02206®. 
- -00956®. 
In order to draw a figure I take e — Throughout most of the arc of the 
ellipsoid the aj^proximation is probably good, but at the vertices, which are just the 
points of most interest, it is jii’etty clear that we are using a somewhat extreme value 
for 6. The results are 
2 R 
VOL. cc. —A. 
