386 
ME. A. CAYLEY OY THE COXIC OE Em:-POIXTIC 
(91, C, f, B.H) 
= (3/2-^V) [3^V-(1+2^^M^ 
+ (2^— Z‘3/^) [3^^2/^— (1+2^2^]^ 
+ (^3/_^V)[3?V-(1+2/^>3/T 
+ 2lhjz{ - - (1 + 2^^)f^][3^V- (1 +2/^>j/ j 
+2(Z^^^-?/)[3?V-(l+2?>y][3?V-(l+2Z%2] 
4- 2(/'/ry - fe")[3?V - (1 + 2/' W[3^y - (1 + 2 
the first three lines of which are 
+(l+2^y(2/V+5V+a’y) 
9/6(^6_j_^6_|_^6) +6^X1 + + 3/' +^') ~ + 2/') V^-r’ ; 
or collecting and reducing, 
(-9^ ){x^ +/ +2® ) 
+(1 + 4^® 4- 4^® )(2/V4-2V4-^'«^y) 
+ ( 15^^4-12^' )Gt® +/ + 2' 
4-(— 21^"— 48/® — 12Z®) F^/V; 
the second three lines are 
-54/®F2/V4-12/®(14-2/®)(/2®4-^'^'+^’y)“2^(l+^^')'^'^’FG'^''+/+~"^ 
or collecting and reducing, 
(12/^4-42/® ){ifz^-\-z^x^Y!xY) 
4-(-2/-20/^-32/')(F 4-/ 
_1_(6/2_30Z®4-24/«) F^/V. 
Hence in the first part replacing the top line by 
— 9/®(F -\-tf-\- zY 4- + A-y ), 
and uniting the two parts, we find 
(a, 33, C, 4f, #, 
4-(-9/« ){x^ +2' )' 
+(_2/-5/^-20/' )(F 4-/ +-' Kf 
_|_(_15/2_78/®+12/«) F^/V; 
and referring to the Table No. 70, and writing 0 for 0U, we have 
(a, 33, C, Jf, #, filldji, d,H, B JT)^=0, 
