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)

147] 
OF THE ROOTS OF AN EQUATION. 
431 
IX (b). Runs on to p. 432. 
. 
9 
18 
27 
1 2 7 
35 
125 
1 3 6 
45 
135 
2 2 5 
1 2 25 
1 4 5 
14 2 
234 
P34 
= 
i 
bi 
ch 
b-h 
dg 
beg 
b s g 
e f 
bdf 
cf 
b 
V 
bf 
be 2 
ede 
b 2 de 
(9) 
- 9 
+ 
9 
+ 
9 
- 
9 
+ 
9 
- 
18 
+ 
9 
+ 
9 
- 
18 
- 9 
4* 
27 
- 
9 
- 
9 
- 18 
+ 
27 
(81) 
+ 
9 
- 
1 
- 
9 
+ 
1 
- 
9 
+ 
10 
- 
1 
- 
9 
+ 
10 
+ 
9 
- 
11 
+ 
1 
4* 
5 
+ 
18 
- 
11 
(72) 
+ 
9 
- 9 
+ 
5 
+ 
2 
- 
9 
+ 
4 
- 
2 
- 
9 
+ 
18 
- 
5 
- 6 
+ 
2 
+ 
9 
4- 
4 
- 
20 
(63) 
+ 
9 
- 
9 
- 
9 
+ 
9 
+ 
9 
- 3 
- 
9 
+ 
9 
- 
9 
+ 
3 
4" 
9 
- 9 
(54) 
+ 
9 
- 
9 
- 
9 
+ 
9 
- 9 
+ 
18 
- 
9 
4- 
11 
- 
2 
- 1 
- 
7 
+ 
4 
- 
11 
- 
2 
+ 
13 
(7P) 
- 
9 
+ 
1 
+ 
2 
- 
1 
+ 
9 
- 
3 
+ 
1 
+ 
9 
- 
10 
— 2 
+ 
4 
- 
1 
- 
5 
- 
11 
+ 
11 
(621) 
- 
18 
+ 
10 
+ 
4 
- 
3 
- 
8 
+ 
3 
+ 
18 
- 10 
- 
4 
+ 
11 
- 
3 
- 
14 
- 
4 
+ 
13 
(531) 
- 
18 
+ 
10 
+ 
18 
- 
10 
- 
10 
+ 
4 
- 
2 
- 
5 
- 
8 
+ 
15 
- 
4 
4- 
6 
4- 
2 
- 
5 
(PI) 
- 
9 
+ 
5 
+ 
9 
- 
5 
+ 
9 
- 
14 
+ 
5 
-11 
+ 
6 
+ 
1 
- 
1 
+ 
5 
+ 
2 
- 
5 
(52 2 ) 
- 
9 
+ 
9 
- 5 
- 
2 
+ 
9 
- 
4 
+ 
2 
- 
1 
- 
8 
+ 
6 
- 
2 
+ 
1 
+ 
6 
(432) 
- 
18 
+ 
18 
+ 
4 
- 
11 
- 
4 
+ 
5 
- 
2 
+ 
2 
+ 
6 
- 5 
+ 2 
- 
8 
+ 
1 
(3 3 ! 
- 
3 
+ 
3 
+ 
3 
- 
3 
- 
6 
+ 
3 
+ 
3 
+ 
3 
- 
3 
- 
3 
+ 
3 
(61 3 ) 
+ 
9 
- 
1 
- 
2 
+ 
1 
- 
3 
+ 
3 
- 1 
- 
9 
+ 
4 
4- 
2 
- 4 
+ 
1 
+ 
5 
+ 
5 
— 5 
(521 2 ) 
+ 
27 
- 
11 
- 6 
+ 
4 
- 
9 
+ 
11 
- 
4 
- 
7 
+ 
15 
+ 
6 
- 
15 
+ 
4 
- 1 
- 
5 
+ 
1 
(431 2 ) 
+ 
27 
- 
11 
- 
20 
+ 
11 
- 9 
+ 
13 
- 
5 
+ 
13 
- 
5 
+ 
1 
- 
5 
+ 
1 
+ 
2 
(42 2 1) 
+ 
27 
- 
19 
+ 
1 
+ 
5 
- 
9 
+ 
12 
— 5 
+ 
3 
- 
2 
- 6 
+ 
3 
+ 
1 
+ 
2 
- 
1 
(3 2 21) 
+ 
27 
- 19 
- 
13 
+ 
12 
+ 
18 
— 7 
- 
7 
- 
4 
+ 
3 
+ 
3 
- 
1 
(32 3 ) 
+ 
9 
- 9 
+ 
5 
+ 
2 
- 
3 
— 2 
+ 
1 
+ 
2 
- 1 
(51 4 ) 
- 
9 
+ 
1 
4" 
2 
- 
1 
+ 3 
- 
3 
+ 
1 
+ 
4 
- 4 
- 
2 
+ 
4 
- 1 
(421 3 ) 
— 
36 
+ 
12 
+ 
8 
- 
5 
+ 
12 
- 
14 
+ 
5 
- 
4 
+ 
1 
+ 
2 
- 
1 
(3 2 1 3 ) 
— 
18 
+ 
6 
+ 
11 
- 
6 
- 
3 
4“ 
1 
- 
2 
+ 
2 
-1 
(32 2 1 2 ) 
- 
54 
+ 
30 
+ 
5 
- 
9 
- 
9 
+ 
4 
+ 
4 
- 
1 
(2 4 1) 
- 
9 
+ 
7 
- 
5 
+ 
3 
- 
1 
(4P) 
+ 
9 
- 
1 
- 2 
+ 
1 
- 3 
+ 
3 
— 
1 
(32P) 
+ 
45 
— 
13 
- 
10 
+ 
6 
+ 
3 
- 
1 
(2 3 1 3 ) 
+ 
30 
- 
14 
+ 
5 
- 1 
(3P) 
— 
9 
+ 
1 
+ 
2 
- 1 
(2 2 1 5 ) 
— 
27 
+ 
7 
- 1 
(21 7 ) 
+ 
9 
- 
1 
(l 9 ) 
_ 
1
	        
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