Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 9)

1 
I 
578] A MEMOIR ON THE TRANSFORMATION OF ELLIPTIC FUNCTIONS. 
n = 5, 
M s 
u = 0 or 1, this is 
1 
+ w 
— 10 
MU-«)- 
1 
+ 35 
1 
-60 
+ w 
1 
+ il/ 2 ' 
+ 55 
1 
M• 
— 26 + 256« 8 (1 — u s ) 
+ 5 = 0. 
139 
n = 7, 
M s 
+ M 7 '° 
+ ¿- 28 
+ ¿. + 112(l-2tt») 
+ ¿- 210 
+ ¿. + 224(1-2«») 
+ ^. —140 — 21.256« 8 (1 — u s ) 
+ j f . {48 + 2048« 8 (1 - « 8 )| (1 - 2« 8 ) 
+ 7 = 0. 
+ 
u = 0, this is 
u = 1, it is 
Uf +1 ) (l 
1 
« = 0, t 
3/12 
M n ‘° 
&- 1 ) 
-L- 66 
« = 1, it 
3/10- 
+ .+ -M0 (1-2»») 
(ir +1 ) 
n fl 
[ M 
+ 11 =0; 
vM 
— 11 j = 0. 
18—2
	        
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