228 PROFESSOR A. G. GREENHILL ON THE 



But with 



n = 1? (fj. 1), Wiv = Wv, 



X t) = 4x a = lA-v b--x 



i \ i 10' r^ ~~^ ^i*', w/ ^^ j. | w, i/ ^^ tA/ 



k = P(v)-P (2v) = P (v) P (/* 1) t> = 2P (i>) (48). 



G. In the simplest case of 



/t = 3, = foi 3 , 03 = (1), 



tlie form (G), 1, is illusory; but we take (L.M.S., 25, p. 210) 



o - 



2.s ! 

 and putting s = i 2 , 



Writing w for co 3 , 



In ABKI/S form (' (Euvres/ 2, p. 1G3), 

 J= f ^+i 



and A\ r ith 



2 = y\ p= - 



J = - ^ 



Or, in the circular form, 



= _ 2 



