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. 12)

498 
NOTE ON THE JACOBIAN SEXTIC EQUATION. 
[867 
''■V 
1 
w 
II 
o 
+ 
1 
multiplied by 
multiplied by 
A + B 
C + F 
C -E 
- F + B 
- F - A 
-B - E 
-B- C 
E-A 
E + F 
A - G 
A+ G 
D + B 
D- F 
-B + C 
- B -A 
-C - F 
-C -D 
F-A 
F+ B 
A-D 
E-B 
-C +D 
-C -A 
- D-B 
- D-E 
B-A 
B+ G 
A- E 
A+D 
E + G 
where it is to be observed that, adding together the five equations given by any one 
of the systems, we obtain the identical result 0 = 0. 
I write down the 15 equations in a different order, in some cases changing the 
sign of the whole equation, as follows 
4U 
1 
T 
o 
+ (e - e 4 ) 
multiplied by 
multiplied by 
A+G 
B + D 
B + C 
A-E 
A + B 
G + F 
D + E 
A-B 
B + F 
A-D 
A + F 
B + E 
A + D 
G +E 
C +D 
A-F 
E + F 
A -G 
A+E 
D + F 
B-E 
G-D 
F-D 
B - G 
E- C 
F-B 
D-B 
E-F 
G - F 
D-E
	        
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