464 NOTE ON THE MOTION OF ROTATION OF A SOLID OF REVOLUTION. 
Substituting these values, 
a = — MA sin i, b = MA cos i, c = — A (n — v), 
2v = A 2 M 2 (1 + cos (6 +1)} = 2M [2 A 2 cos 2 \ (6 + i); 
and substituting in the equations (14) the values of X, ¡jl, v reduce themselves to 
\X = 
MA cos \ (6 +1) 
1 
^ MA coa$(0 + %) 
v = tan \ (0 + i); 
^ tan ^¡r sin \ (0 — i) — A (n — v) cos \ (Q — i)\, 
[k tan \fr cos \ (6 — i) + A (n — v) sin £ {6 — f)}, 
kt 
where, recapitulating, 6 = vt + y, 2ifr = -j 4- 
[78 
I may notice, in connexion with the problem of rotation, a memoir, “ Specimen 
Inaugurale de motu gyratorio corporis rigidi &c.,” by A. S. Rueb (Utrecht, 1834), which 
contains some very interesting developments of the ordinary solution of the problem, 
by means of the theory of elliptic functions.