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. 
429 
234 
1 2 34 
12 2 4 
P24 
1 5 4 
3 3 
123 2 
1 3 3 2 
2 3 3 
1 2 2 2 3 
II 
cde 
h-de 
bch 
b 3 ce 
b 5 e 
d 3 
bed 2 
bW 
c 3 d 
bVd 
(9) 
(81) 
(72) 
(63) 
(54) 
(7P) 
(621) 
(531) 
1 
(PI) 
1 
— 2 
(52 2 ) 
1 
2 
(432) 
1 
3 
3 
8 
(3 3 ) 
1 
3 
6 
6 
15 
(6P) 
1 
(521 2 ) 
1 
5 
— 2 
5 
(431 2 ) 
1 
3 
10 
2 
6 
7 
19 
(42 2 1) 
1 
2 
7 
20 
5 
17 
- 12 
36 
(3 2 21) 
1 
2 
5 
- 12 
30 
3 
- 13 
30 
- 27 
65 
(32 3 ) 
3 
7 
- 12 
- 27 
60 
6 
- 27 
64 
- 51 
- 120 
(51 4 ) 
4 
21 
6 
12 
(421 3 ) 
3 
7 
- 25 
75 
- 12 
42 
- 27 
85 
(3 2 1 3 ) 
3 
6 
- 17 
- 42 
- 110 
6 
- 30 
72 
- 64 
- 152 
(32 2 1 2 ) 
8 
19 
- 36 
- 85 
- 200 
- 15 
- 65 
- 152 
- 120 
- 281 
(2 4 1) 
— 22 
- 48 
- 78 
- 168 
- 360 
- 36 
- 136 
- 300 
- 234 
- 516 
(41 s ) 
- 10 
- 20 
- 75 
— 225 
- 30 
- 110 
- 60 
- 200 
(321 4 ) 
— 22 
54 
- 101 
- 241 
- 570 
- 36 
- 158 
- 372 
- 282 
- 656 
(2 3 1 3 ) 
- 60 
- 129 
- 213 
- 459 
- 990 
- 93 
- 333 
- 720 
- 555 
- 1203 
(31«) 
- 60 
- 155 
- 270 
- 645 
- 1500 
- 90 
- 390 
- 920 
- 660 
- 1530 
(2 2 1 5 ) 
- 165 
- 350 
- 565 
- 1200 
- 2550 
- 240 
- 820 
- 1740 
- 1320 
- 2800 
(2P) 
- 455 
- 945 
- 1470 
- 3045 
- 6300 
- 630 
- 2030 
- 4200 
- 3150 
- 6510 
(P) 
- 1260 
- 2520 
- 3780 
- 7560 
- 15120 
- 1680 
- 5040 
- 10080 
- 7560 
- 15120
	        
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