OF EQUAL ROOTS OF A BINARY QUARTIC OR QUINTIC. 
First Table. 
585 
c® 633 a€ a. 1234 
a*bf 
+ 3 
+ 33 
a 3 ce 
+ 3 
-102 
- 16 
a 3 d 2 
-216 
+ 36 
a-be 2 
+ 21 
+ 135 
+ 16 
orbed 
— 12 
- 144 
+ 120 
-152 
a 2 c 3 
-16 
+ 480 
+ 96 
ab 3 d 
+ 30 
-150 
+ 80 
aV(? 
+ 50 
+ 240 
-300 
- 60 
Vc 
-25 
— 150 
+ 66 -11 +1 +6 
Second Table. 
cl 3 
6C 
aS 
a. 1235 
b . 1234 
+ 3 
+ 10 
— 4 
o 3 de 
+ 3 
- 390 
+24 
aWf 
+ 33 
+ 155 
+ 4 
drbee 
+ 21 
-102 
+ 100 
-84 
- 16 
a?bd 2 
-12 
-216 
- 600 
-24 
+ 36 
a?c‘d 
-16 
- 144 
+ 1600 
+ 64 
+ 16 
ob s e 
+ 135 
+ 125 
+ 60 
ab‘cd 
+ 50 
+ 30 
+ 120 
-1000 
-40 
-152 
abc 3 
+ 240 
+ 480 
+ 96 
b 4 d 
-25 
-150 
+ 80 
¥c- 
-150 
-300 
- 60 
+ 330 +110 -55 +9 -105 0 
Third Table. 
cC 
bm 
a<£ 
c. 1234 
6.1235 
a. 1245 
a. 1236 
a-‘df 
+ 3 
- 90 
- 6 
+ 6 
a 3 e 3 
+ 3 
- 195 
+ 16 
drbcf 
+ 33 
+ 10 
+ 360 
- 4 
+ 6 
-22 
cirbde 
-12 
+ 21 
- 390 
-1500 
+ 24 
-26 
- 6 
a"c~e 
-16 
-102 
+ 900 
- 16 
-96 
+ 16 
a‘cd~ 
-144 
-216 
+ 1800 
+ 36 
+96 
ab 7 
+ 155 
+ 225 
+ 4 
+ 16 
ab 2 ce 
+ 50 
+ 135 
+ 100 
+ 16 
-84 
+90 
-10 
ab 2 d~ 
+ 30 
- 600 
-1500 
-24 
-80 
abe'd 
+240 
+ 120 
+ 1600 
-152 
+ 64 
ac * 
+ 480 
+ 96 
b 4 e 
-25 
+ 125 
+60 
b 3 cd 
-150 
-150 
-1000 
+ 80 
-40 
b 3 c 3 
-300 
- 60 
+ 266478575 
-617359490 
+ 144200810 
+ 9656911 
+ .9090785 
-721004050 
+ 90914175 
-160758675 +11559295 
4 l 2 
