PROFESSOR CAYLEY’S TENTH MEMOIR ON QUANTICS. 
619 
Table No. 96 (concluded). 
Deg.-ord. 
(Jongs. 
Segregates. 
11. 1 
go, t 
3 
hjj, dcf, dq, jm 
5 
* 
b~o, bgk , bs, er/ 2 , eq, gp 
dr 18 
-23-5-3 . -3 +3 
ho. 3 
-2 +11 -24 . -3+6 
jn.l 
+ 1 — 3 + G . -|- 1 — 2 
km. 6 
-2 + 5 —12 . -3 +3 
12. 0 
if, ffq, u 
2 
9 r , jo 
4 
* 
b~g 2 , b' 2 q, bgm, bp, dgj, g~h, hg 
ko 
-2 -2 -4 +3 
m 2 .12 
+ 2 +1 +4 -3 . -3 
13. 1 
91, jq, o 
3 
* 
bgo, bt, gt'lt, gs, kg 
jr - 2 
. -2 . +1 -1 
mo.2 
. -4 . +1 -1 
14. 0 
2 
bq 3 , bgq, bu, g 2 m, gj 3 , mq , o 2 
4 
* 
bg r , tyo, g°n, gjk, js, nq 
dgo 
S.D. 10.4, do 
dt. 18 
+ 1 +2 . -1 +6 +3 
mr. 12 
+1 +2 . -1 . +3 
Theory of the Canonical Form. — -Article Nos. 375 to 381, and Tables Nos. 97 and 98. 
375. As the small italic letters have been used to represent the co variants, different 
letters are required for the coefficients of the quintic, and (using also new letters for 
the facients) I take the quintic to be (a, b, c, d, e, V ) 5 - Considering a linear 
transformation of - (a,, b, c, d, e, fj£ rj) b , viz. 
\ (a, b, c, d, e, f^-b^, a yf 
this is 
