154 
PEOFESSOE CAYLEY’S SECOND MEMOIE ON THE 
Third equation : 
3{(5)-2(3, 2) — 2(3, 2)} 
+ {(3, 2)— (3, 2)(2m— 6) — 2(1, 2, 2)} 
+ Supp. (3, 2) 
Fourth equation: 
2{(4, 1)— 2(3, 1, 1) — (2, 2,1)} _ 
+ {(3, 1, 1) — (3, 1, l)(2m— 7)— (1, 1, 1, 2)} 
+ Supp. (3, 1, 1) 
Fifth equation: 
4{(5)-(2,3)— (4,1)} 
+ {(3, 2) — (2, 3)(2ra— 6)— (1, 1, 3)} 
-f Supp. (2, 3) 
Sixth equation : 
3{(4, 1)— 2(2, 2, 1)— 2, (3, 1, 1)} 
+2{(3, 2)— (2, 2, 1)— (2, 2, 1)} 
+ {2(2, 2,JL)-(2, 2, l)(2m— 7)— 2(1, 1, 1, 2)} 
+ Supp. (2, 2, 1) 
Seventh equation : 
2{(3, 1, 1)— 3(2, 1, 1, 1) — 3(2, 1, 1, 1)} 
+ ((2, 3,1, l)-(2, 1, 1, l)(2m-8)-4(r, 1, 1, 1, 1)} 
+ Supp (2, 1, 1, 1) 
Eighth equation: 
5{(5)-(I, 4)-(5)(2m-5» 
+ {(4, 1)— (1, 4)(2m— 5)— (1, 4)(2m— 5)} 
+ Supp. (I, 4) 
Ninth equation: 
4 {(4, 1)-(1, 1, 3)— (4, l)(2m— 6)} 
+ 2{(3, 2)— (1, 1, 3)— (2, 3)(2 m-6)} 
+ {2(3, 1, 1)— (T, 1, 3)(2m-7)-(l, 1, 3)(2m-7)} 
+ Supp. (T, 1, 3) 
3(3, 2)2D. 
3(3, 1, 1)2D. 
2(2, 3)2D. 
2(2, 2, 1)2D. 
2(2, 1, 1, 1)2D. 
=(1, 4)2D. 
= (1, 1, 3)2D. 
