462 
[78 
78. 
NOTE ON THE MOTION OF ROTATION OF A SOLID OF 
REVOLUTION. 
[From the Cambridge and Dublin Mathematical Journal, vol. IV. (1849), pp. 268—270.] 
Using the notation employed in my former papers on the subject of rotation 
{Cambridge Math. Journal, vol. in. pp. 224—232, [6]; and Cambridge and Dublin Math. 
Journal, vol. I. pp. 167—264, [37]), suppose B = A, then r is constant, equal to n 
suppose; and writing 
also putting 
6 = vt + y, 
(where y is an arbitrary constant) the values of p, q, r are easily seen to be given 
by the equations 
yr = n, 
(where M is arbitrary). And consequently 
h = A [M 2 + n (n — v) }, 
k 2 = A 2 [M 2 + (n — v) 2 }. 
Also, since a' 2 + b 2 + c 2 = k 2 , we may write 
a = — k sin i cos j, 
b = k cos i cosy, 
c= ksmj; 
k having the value above given, and the angles i, j being arbitrary.