147] 
OF THE ROOTS OF AN EQUATION. 
425 
VII (a). 
7 
16 
25 
1 2 5 
34 
124 
1 3 4 
12 2 
2 2 3 
1 2 23 
1 4 3 
12 3 
P2 2 
1 5 2 
V 
II 
h 
bg 
c f 
by 
de 
bee 
b 3 e 
bd 2 
c 2 d 
b 2 cd 
JAl 
be 3 
b 3 c 2 
b 5 c 
b 7 
(7) 
1 
(61) 
1 
7 
(52) 
1 
5 
- 21 
(43) 
- 1 
3 
- 10 
- 35 
(51 2 ) 
- 1 
2 
- 11 
- 42 
(421) 
- 1 
- 4 
- 3 
- 11 
- 35 
- 105 
(3 2 1) 
- 1 
— 2 
- 6 
- 7 
- 18 
- 50 
- 140 
(32 2 ) 
- 1 
- 2 
- 5 
- 12 
- 12 
- 31 
- 80 
- 210 
(41 3 ) 
1 
- 3 
- 13 
— 6 
- 24 
- 75 
- 210 
(321 2 ) 
- 1 
- 3 
- 2 
- 5 
- 13 
- 34 
- 27 
— 68 
- 170 
- 420 
(2 3 1) 
- 1 
- 3 
- 6 
- 7 
- 12 
- 27 
- 60 
- 51 
- 117 
- 270 
- 630 
(3P) 
- 1 
- 4 
- 13 
- 6 
- 12 
- 34 
- 88 
- 60 
- 150 
- 360 
- 840 
(2 2 1 3 ) 
- 1 
— 2 
- 3 
- 11 
- 24 
- 18 
- 31 
- 68 
- 150 
- 117 
- 258 
- 570 
- 1260 
(21 s ) 
- 1 
- 5 
- 11 
- 10 
— 35 
- 75 
- 50 
- 80 
- 170 
- 360 
- 270 
- 570 
- 1200 
- 2520 
(l 7 ) 
- 1 
- 7 
- 21 
- 42 
- 35 
- 105 
- 210 
- 140 
- 210 
- 420 
- 840 
- 630 
- 1260 
- 2520 
- 5040 
VII (b). 
7 
h 
16 
bg 
25 
<y 
1 2 5 
by 
34 
de 
124 
bee 
1»4 
b 3 e 
12 2 
bd 2 
2 2 3 
c 2 d 
1 2 23 
bhd 
P3 
b*d 
12 3 
be 3 
1 3 2 2 
b 3 c 2 
l s 2 
b 5 e 
l 7 
b 7 
(7) 
- 
7 
+ 
7 
+ 7 
- 7 
+ 7 
- 
14 
+ 7 
— 7 
- 7 
+ 21 
- 7 
+ 7 
- 14 
+ 7 
- 1 
(61) 
+ 
7 
- 
1 
— 7 
+ 1 
- 7 
+ 
8 
- 1 
+ 4 
+ 7 
- 9 
+ 1 
— 5 
+ 5 
- 1 
(52) 
+ 
7 
- 
7 
+ 3 
+ 2 
- 7 
+ 
4 
— 2 
+ 7 
- 3 
- 6 
+ 2 
+ 3 
1 
(43) 
+ 
7 
- 7 
- 7 
+ 7 
+ 5 
+ 
2 
- 3 
- 5 
+ 1 
+ 3 
- 1 
(51 2 ) 
- 
7 
+ 
1 
+ 2 
- 1 
+ 7 
- 
3 
+ 1 
- 4 
- 2 
+ 4 
- 1 
(421) 
- 
14 
+ 
8 
+ 4 
- 3 
+ 2 
- 
8 
+ 3 
+ 1 
+ 2 
- 1 
(3 2 1) 
- 
7 
+ 
4 
+ 7 
- 4 
- 5 
+ 
1 
+ 2 
- 1 
(32 2 ) 
- 
7 
+ 
7 
- 3 
- 2 
+ 1 
+ 
2 
- 1 
(41 s ) 
+ 
7 
- 
1 
— 2 
+ 1 
- 3 
+ 
3 
-1 
(3 21 2 ) 
+ 
21 
- 
9 
- 6 
+ 4 
+ 3 
- 
1 
| 
(2 3 1) 
+ 
7 
- 
5 
+ 3 
-1 
! 
(3P) 
- 
7 
+ 
1 
+ 2 
- 1 
(2 2 P) 
- 14 
+ 
5 
- 1 
| 
| 
(21 s ) 
+ 
7 
- 1 
(l 7 ) 
- 
1 
1 
c. II. 
54