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)

151] EQUATIONS OF THE SECOND, THIRD, FOURTH, AND FIFTH DEGREES. 
( « + 1 6 + 2 c + 1 
ac — 2 
ad — 1 
b 2 4-2 
be 4-1 
i) 5 , 
\x, 1), 
a?d 2 + 1 
abed 4- 6 
ac s — 4 
bd 3 -4 
b 2 c 2 -3 
Table for the degree 4. 
The Sturmian functions for the quartic (a, b, c, d, e§oc, 1) 4 are 
( 
a + 1 
b 4-4 
c + 6 
d + 4 
<3 4-1 
1)‘, 
«+1 ¿ + 3 c-t-3 d4-1 l) 3 , 
\x, 1)>, 
ac — 3 
ad — 3 
ae — 1 
b 2 4-3 
be 4-3 
bd 4-1 
tree — 1 
d~de 4- 1 
« 2 d 2 4- 3 
abce — 4 
ab 2 e + 1 
abd 2 — 1 
abed — 14 
ac 2 d 4- 3 
ac 3 4- 9 
b 3 e 4- 3 
b 3 d + 8 
b 2 cd — 2 
6 2 c 2 - 6 
a 3 e 3 + 1 
Ac. 
Disct. Tab. 
No. 12. 
Table for the degree 5. 
The Sturmian functions for the quintic (a, b, c, d, e, /$&', l) 3 are 
«4-1 
b 4-5 
c+ 10 
10 
e 4- 5 
/+1 
\x, 1)»,
	        
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