288 
SECOND MEMOIR ON THE 
[407 
K (1,. 1, 1, 1, 
1) + « (2, 1, 1, 1) 
= /e(ÏH, 1, 1, 1, 1) + k (2/cl, 1, 1, 1) 
Referring to 
+ k (2/cï, 1, 1, V)+K.^(n 
- 3) (n - 4) 
= *(bcl, 1, 1, 1, 1) + 2k (2k l, 1, 1, 1 ) + />' 
(twelfth equation). 
131. Hence, substituting in the expressions of the several Supplements, we have 
Supp. (5) 
= 0 
+ N 
(first equation). 
Supp. (4, 1) 
= R + J' 
+ 2 J + R 
(second equation). 
Supp. (3, 2) 
= SL + 2M+0 
+ 6K + L + SB + 20 
(third equation). 
Supp. (3, 1, 1) 
= 27+2/ + /)' + /' 
+ P + P+20 + 2) + 3/+/ 
(fourth equation). 
Supp. (2, 3) 
= k(2k1, 3) 
+ Q 
(fifth equation). 
Supp. (2, 2, 1) 
= k(2k1, 1, 1)+/' 
+ 30+ /+4/4-2/' 
(sixth equation). 
Supp. (2, 1, 1, 
1) = k(2k1, 1, 1, 1) + /)' 
+ 2?+ 40 +4/» + 2)' 
(seventh equation). 
Supp. (I, 4) 
= k (1«1, 4) + 0 
+ (m — f ) (427 + 0) 
-}N + ±0 
(eighth equation). 
Supp. (I, 1, 3) 
= k (LH, 1, 3) + 2k (2H, 3) + 2R + 3/' 
+ (m-2)(2P + 2Q + 5/+4E) 
— 2P— Q-2R + J' 
(ninth equation). 
Supp. (1, 2, 2) 
= k(1k1, 2, 2)+ 37 +221/ 
+ (m - 2)(92i + 3L+ 21/+ 22V+ 0) 
+ SL + 2M-2N-0 
(tenth equation).