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. 10)

« 
370 
A TENTH MEMOIR ON QUANTICS. 
[693 
Table No. 98. Covariants of A, divided and (except as to a few coefficients) segregate. 
A and B as given in Table 97 were divided and segregate. 
C was divided but not segregate: the divided and segregate form is 
G = { 
c + 1 
/+3 
a?b + 3 
a°c 2 — 15 
a?e + 1 
a°cf - 10 
a 3 d + 6 
a°bc — 3 
,, c 3 +15 
a 3 i + 3 
a°cf + 3 
2.6 3.9 
4.12 
5 . 15 
6. 18 
7 . 21 
D divided and segregate is 
-+ 3 
D = a 3 ( 
d+ 1 
i+ 1 
ab 2 - 1 
,,h +1 
a°cd — 3 
al — 1 
a°ci — 1 
a 4 6 2 - 1 
„ h +1 
a 3 cd — 4 
a°c 4 — 1 
8.24 
5®» yfi 
3.3 4.6 5.9 6.12 
an integer non-segregate form of the fractional coefficient is 
E was divided but not segregate: the divided and segregate form is 
E = { 
e + 1 
ad — 6 
ai +12 
aW - 8 
a 2 be — 5 
«V - 1 
a°bc— 10 
a°ce~ 10 
,, h — 2 
CO 
+ 
+ 6 
acd — 24 
aci — 12 
a 2 6 2 c + 2 
a°6c 2 + 20 
a°c 2 e + 5 
5 5 CÀ “h 2 
ac 2 d + 6 
«°6c 3 -- 2 
H x , yf 
6. 14 
7. 17 
8.20 
3.5 
4.8 
5. 11
	        
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