Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 2)

141 ] A SECOND MEMOIR UPON QUANTICS. 275 
K. No. 23. 
a 2 b/ 2 ... 
a 2 c/ 2 + 1 
a 2 df 2 - 1 
a 2 ef 2 
a 2 ce/ + 1 
ahlef — 5 
a 2 e 2 f + 1 
abdf 2 — 1 
add/ - 3 
a 2 e 3 + 4 
abef 2 + 5 
abe 2 / + 1 
a 2 de 2 + 2 
ab 2 / 2 - 1 
abdef — 8 
ac 2 / 2 + 3 
db 2 ef — 1 
abcef + 8 
abe 3 + 3 
aedef — 14 
abedf +14 
abd'-f +11 
ac 2 ef - 11 
ace 3 + 8 
abce 2 — 11 
abde 2 - 17 
acd 2 f +11 
+ 9 
abd 2 e — 1 
ac 2 df - 11 
aede 2 + 6 
ad 2 e 2 — 6 
ac 3 f — 9 
ac 2 e 2 — 16 
ad 3 e — 6 
b\f 2 - 2 
. ac 2 de + 14 
acd 2 e + 44 
Ò 3 / 2 - 4 
b 2 def +11 
acd 3 — 6 
ad 4 - 18 
b 2 cef + 17 
b 2 e 3 — 9 
b 3 df - 8 
6V - 3 
b 2 d 2 f + 16 
bc 2 ef + 1 
b 3 e 2 + 9 
b 2 cdf - 6 
b 2 de 2 - 21 
bed 2 / - 14 
6 2 c/ + 6 
b 2 ce 2 +21 
bc 2 df — 44 
bede 2 +16 
6 2 c(7e — 16 
b 2 d 2 e - 5 
bc 2 e 2 + 5 
bd 3 e — 3 
6V 3 + 8 
6c 3 / + 6 
bcd 2 e + 39 
c 3 df + 6 
6c 3 e + 3 
be 2 de — 39 
bd 4 - 12 
c 3 e 2 - 8 
6cV 2 - 2 
bed 3 +22 
c 4 / + 18 
c 2 d 2 e + 2 
c 4 ¿ 
c 4 e +12 
cVe — 22 
cd 4 
&d 2 - 8 
c 2 <6 3 + 8 
±57 ± 129 ± 129 ± 57 
L. No. 24. 
«V ... 
a 3 / 2 ... 
a 2 bf 2 ... 
a 2 cf 2 - 1 
a 2 V 2 + 1 
a 2 / 2 ••• 
a 2 / 3 ... 
a6/ 3 ... 
a 2 bdf ... 
a 2 6e/ ... 
d z cef — 3 
ardef + 7 
а 2 е/- 1 
abd/ 2 + 3 
abe/ 2 ... 
ace/ 2 ... 
a 2 be 2 
a 2 cdf + 7 
a 2 d 2 f +12 
a 2 e 3 - 6 
a6/ 2 — 7 
a6e/ — 3 
acd/ 2 - 7 
ac6/ 2 - 2 
er<V + 2 
a 2 ce 2 - 10 
a 2 c/e 2 — 9 
ab 2 f 2 + 1 
abde/+ 26 
ac/ 2 -12 
ace/ + 7 
at7e 2 / + 4 
a 2 co?e — 5 
d 2 d 2 e + 3 
aide/ + 3 
abce/- 26 
abe 3 — 19 
aede/+ 18 
ad 2 e/ + 7 
ae 4 - 2 
a 2 # + 3 
abhlf- 7 
abed/— 18 
a6d 2 /+ 32 
ac 2 e/ — 32 
ace 3 + 6 
ade 3 — 7 
6V 2 
a6 V — 4 
ab 2 e 2 + 10 
abce 2 - 18 
abde 2 — 8 
acd/ +18 
ad/ + 3 
6V/ 2 + 10 
bed/ 2 + 5 
ab 2 de + 5 
abef — 7 
abd 2 e + 30 
ac 2 df— 18 
aede 2 + 53 
ad 2 e 2 - 15 
6 2 e/ — 10 
bce/ — 5 
abc 2 e + 5 
abede— 8 
ac 3 / — 3 
ac 2 e 2 + 6 
ad 3 e — 39 
6 2 </ 2 + 9 
6c 2 / 2 - 3 
bd 2 e/ - 5 
abed 2 — 7 
«6о^ + 9 
ac 2 de + 45 
acd?e + 52 
b 3 / 2 + 6 
6 2 «V +18 
bede/ + 8 
bde 3 + 5 
ac 3 c7 + 1 
ac 3 e +22 
acd 3 - 39 
ad 4 - 39 
b 2 ce/+ 8 
6V -27 
bce 3 — 2 
c/ 2 -3 
b/ + 2 
ac 2 d 2 — 19 
b 3 df - 6 
6V +19 
6V/ - 6 
6c 2 e/ - 30 
bd 3 / - 22 
c+V + 7 
6 3 cß — 5 
b 3 cf + 7 
6V +27 
6 2 cc7/ - 53 
6 2 (7e 2 - 20 
bed 2 /- 45 
bd 2 e 2 +19 
c 2 e 3 + 2 
b 3 d 2 - 2 
b 3 de + 2 
b 2 cf + 15 
6 2 ce 2 +20 
6c 2 c/ + 45 
bede 2 + 87 
c 3 «/ ~ 3 
cd/ - 1 
b 2 c 2 d + 8 
6 2 c 2 e — 19 
b 2 cde - 87 
b 2 d 2 e -25 
6cV +25 
bd 3 e -12 
c 2 d/+ 19 
cd 2 e 2 — 8 
6c 4 - 3 
6 2 c<7 2 — 11 
bc 3 d +33 
c 5 -12 
b 2 d 3 + 6 
bc 3 e +12 
bc 2 d 2 + 57 
c4 - 24 
6c 3 / +39 
bc 2 de — 45 
6cá 3 +65 
c 4 e 
cV 2 -20 
bcd 2 e - 52 
6i7 4 
c 4 / +39 
cVe — 65 
c 2 d 3 +20 
c 3 df +39 
cV — 6 
cV 2 e -57 
cd 4 + 24 
cW +11 
cd 3 e — 33 
cP +12 
d 4 e + 3 
± 26 “ ±93 ± 207 ± 241 ± 241 ± 207 ±93 ±26 
No. 25, Q = 4-1 a 3 cdf 3 + &c. j 
No. 26, Q' = + l a 4 / 4 +&C.J 
[see post, 143.] 
35—2
	        
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