100 
ME. A. CAYLEY 02? THE EQHATIOX OE DIFEEEEA’CES 
Calculation of L,. 
Terms of Lj f not inyohing e. 
-/(V"B + 4rfC) 
babt, 
+ 46Sc 
+ 3cdd 
4(7 
-B 
-C 
a^cd^f 
+ 1200 
+ 3240 
— 3840 = 
+ 600 i 
aWdy 
+ 210 
+ 960 
— 1100 
+ 70 1 
(rb(?d?f 
— 2460 
-1680 
+ 2160 
+ 1560 
— 420 
a^c^df 
+ 820 
- 840 
+ 60 
+ 40 
ab^cd^f 
+ 1080 
-1968 
+ 126 
+ 712 
— 50 ! 
ab'^d'df 
— 570 
+ 2624 
-1476 
— 448 
+ 130 
ahe’f 
b^dy 
+ 60 
— 576 
+ 216 
+ 492 
- 192 
— 24 
+ 24 
b^<?df 
}?cy 
— 456 
+ 120 
+ 324 
— 114 
+ 100 
— 32 
+ 6 
Terms of Li/* involving e^. 
-e/(Y"C + 6(7D) 
babb 
6(7 
-D 
-c 
a^bd^ef 
-2750 
-3840 
+ 5040 = 
— 1550 1 
a^c^dy 
+ 1950 
—5760 
+ 2160 
— 1650 
a^Wcdef 
+ 2670 
+ 3120 
— 1650 
— 2400 
+ 1740 
drb(?ef 
— 1120 
+ 240 
+ 1170 
+ 290 
ah^def 
— 1200 
+ 712 
+ 288 
— 200 
ah^(?ef 
+ 500 
— 1344 
+ 534 
— 310 ! 
b^cef 
+ 200 
— 144 
+ 56 ! 
1 
Terms of Lj f involving 
babb ^bbc 3c5d 8(7 
— e'y(V"D + 8(7E) viz. ' , ■- 
— D -E 
• 
1 
a^de"f 
cdhc^f 
j a^We^f 
+ 4200 —3200 = 
— 4000 +2880 +2520 
+ 960 -1600 
+ 1000 
+ 1400 1 
— 640 i 
Calculation of L.,. 
Li=A+Be+Ce^ suppose, where 
--1B = 
II 
O 
I 
a^bd”- +775 
(z+2(7 + 825 
cdh’^cd — 870 
a^hc? —145 
ciV +100 
((6V +155 
6+ - 28 
a^d — 500 
(dhc -700 
+320 
