ME. A. CAYLEY’S SEVENTH BIEMOIE ON QHANTICS. 289 
No. 77. 
R(6aPU4-i3QU)=E^X[(48S, 8T , . . %cc, (3)^]*, 
S (6aPU+i3QU)= (T^+192S^ ,.•!«, i3)^ 
T(6«PU+i3QU)= (-8P+4608TS^ . . J_oc, 
6aPU+/3QU)= 6aPU+/3QU, 
H(6aPU+/3QU)=-^X 
6^488, 8T, ..^a, /3)\PU 
- B„(48S, 8T, . . Joe, (iy . QU, 
C(6aPU+i3QU)= -(48S, 8T, . . Joe, (3yx 
I 6^^(P+192S^ . . Ja, (3y . PU 
[- ^,(P+192S^ . . /3)\ QU, 
D(6aPU+f3QU)= i^(48S, 8T, . . Joe, f3yx 
I 6B^(-8P^-4608TS^ . . Joe, /3)« . PU 
I - ^,(-8P+4608TS^ . . Jc^, (Sy . QU, 
P(6aPU+i3QU) = 
^,(P+192S^..1«,/3)^CU 
\+\{T+l92S\..Ju, |3)U DU, 
Q(6«PU+^QU)= ^x I ^^(-8P+4608TS^ . . ^y . CU 
1 +B,(-8P^-4608TS^ . . Ja, (iy . DU, 
Y(6«PU+|3QU)= -iPv.[(48S, 8T, . . Jc, /3)^]^x 
(-2aCU+2^3DU), 
Z(6«PU+/3QU)= -iE[(48S, 8T, Joe, i3)7x 
J B,(48S, 8T, ..I«,/3)UCU 
|_+B,(48S, ST,..Ja, /3)\DU. 
2 R 
MDCCCLXI. 
