1896 - 97 -] 
Dr Muir on a certain Eliminant. 
367 
a b 
a 
ft 
a 
a 
— - ab , 
a b c 
a b 
a 
JLI 
ft 
b 
b a 
b a 
- bc(a 4 b) , 
abed 
C 
a b c 
c b 
44 
a b 
TT 
c b a 
a 
c b a 
= — cd(a 4 b 4 f 
a b 
c 
d 
e 
d 
a 
b 
c 
d 
d 
c 
a 
b 
c 
J_L 
+T 
d 
c 
b 
a 
b 
d 
c 
b 
a 
a 
d c 
b 
a 
- ed(a + b + c + r?)*x 2 , 
The mode of proof necessary for these will be understood by 
considering a case of each. 
a b c d e 
e 
a b c d 1 
abed 
e d 
a b c 4 e 1 
a b c 
li- 
ft 
e d c 
— 2 (a 4 b 4 c + d + e) 
a+e b+d 1 
a b 
e d c b 
e d a+c 1 
a 
e d e b a 
e d c b 1 
= 2 (a 4^4c4(74e) 
= 2(a + b 4 c 4 d + e) 
a b -a c-b d-c—e 
a b — a — e c + e -b - d 
. —e a+e-d b+d-a-c 
= 2 (a + b + c + d + e)* 
- e 
e - 
d 
d-c 
a 4c 
-b 
1 > 
a 
b 
c 
d-e 
• 
a 
b 
- e 
c - d 
6 
- e 
a 
-d 
b-c 
- e 
-d 
c 
a-b 
f 
a b 
c 
d 
-e 
a 
b 
c 
14 
- e 
-d 
a 
b 
- e 
- d 
— c 
a 
— e - 
-d 
- c 
-b 
= 2(« + b + c + d -f e) (a - b + c - d + e) • x 3 • 
