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. 6)

(eleventh equation). 
284 
SECOND 
MEMOIR ON THE 
[407 
3 L 
= - 
- 9n 2 
+ 27ft + a ( 
3ft — 9) 
+ 2M 
= 
9ft 2 
4* 3ft -f- CL (— 
6ft— 1) + a 2 
-2 N 
= 
+ 6m 
+ a ( 
- 2) 
- 0 
= 
3ft -)- QC ( 
- 1) 
6m + 33?i + a (— 
3ft — 13) + a 2 (tenth equation). 
«(2, 2, 
1) = 
— 18mft—18ft 2 — 
162ft 
(i) 
= 
\w? 
— |m 2 + 6m 
(2) 
-2E 
= 
— w?n 
+ 4m 2 + lmft — 8ft 2 — 4m + 
32ft 
(3) 
-2 F 
= 
— 2m 3 
+ 8m 2 — 16mft — 6m + 
48ft 
(4) 
- G 
= 
— mft 2 
— 8m 2 + lmft + 4ft 2 + 32m — 
4 ft 
(5) 
+ iH 
= 
— \w?n 
+ \mn— 4ft 2 
(6) 
+ ¥ 
= 
— 5mft 2 
+ 15mft+ 20ft 2 — 
60ft 
(7) 
-yj 
= 
+ 10 m 2 —30m 
(8) 
+ 2 U 
= 
— 3ft 3 + 21ft 2 — 
36ft 
(9) 
- J' 
= 
3ft 2 — 
9ft 
(10) 
— | m 3 — fm 2 ft — 6mft 2 — 3« 3 + 3fm 2 — ^mn + 18ft 2 — 2m — 
191ft 
(ID 
(i) 
+ « ( 
— 3 mft — 
3ft 2 + 6?ft + 51ft + 54) + a 2 (m + 
ft — 15) 
(2) 
+ «(- 
• jtm 2 
+ — 2) 
(3) 
+ «( 
3ft-12) 
(4) 
+ «( 
6m —18) 
(5) 
+ «( 
3m -12) 
(6) 
+ «( 
¿-m 2 
- ¿m + ft ) + a 2 ( 
- *) 
(V) 
+ «( 
fmft 
— 5m — ^ ft + 20) 
(8) 
+ «( 
- Jfft + 10) 
(9) 
+ «( 
lw 2 — 7ft + 12) 
(10) 
+ «( 
- ft+ 3) 
(ID 
+ a ( 
— |mft - 
■ 2ft 2 4- ^fm + 2|pft + 55) -f a 2 (m + 
»-¥)
	        
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