50 
ME. A. CAYLEY ON THE EQUATION EOE A EUNCTION 
where the coefficients have to be completed by the addition of the terms in/*, ^^'e 
have v/ □ in the place of e\/Z, and therefore □ in the place of e^Z. 
11. The value of Me— Z is 
+ 96- 
256 = 

160 
-60 + 
192= 
+ 
132 
dbde" 
—40 + 
128 = 
+ 
88 
+ 27- 
144 = 
— 
117 
dcd'e 
+ 
27 = 
+ 
27 
dd‘‘ 
+ 47- 
144 = 
— 
97 
aVcd 
+ 
6 = 
+ 
6 
ad<Pe 
-18 + 
80 = 
+ 
62 
abcrde 
— 
18= 
— 
18 
abcd^ 
+ 4- 
16= 
— 
12 
ade 
+ 
4= 
+ 
4 
add 
- 9 + 
27= 
+ 
18 
b*d 
+ 4- 
18 = 
— 
14 
dcde 
+ 
4= 
+ 
4 
- 1 + 
4 = 
+ 
3 
dde 
— 
1 = 
— 
1 
and the terms in / are found to be 
+ 300 a^def 
— 130 cdhcef 
— 120 d‘hd‘f 
+ 40 dddf 
+ 28 adef 
+ 66 adcdf 
— 24 abdf 
- 16 ¥df 
+ 6 6V/ 
-125 
+ 50 dbY‘ 
12. The value of Ne+M is 
-16 + 96= 
+ 80 aV 
4- 6-60= 
— 54 d^bde 
+ 4-40 = 
— 36 a^de 
+ 27 = 
+ 27 dcd 
- 5 + 47= 
+ 42 adce 
— 18= 
— 18 abdd 
+ 4=- 
+ 4 ad 
T 1- 9= 
— 8 de 
+ 4= 
+ 4 dcd 
- ^ = 
- 1 dd 
and the terms in f to be added thereto are found to be 
-50 ddf 
+ 30 dbcf 
- 8 ab^f 
