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. 7)

522 
ON THE DEVELOPMENT OF THE DISTURBING 
[479 
Terms of fourth order (concluded); 
Z'-®' 
L'-IT 
bi 
1 
© 
L-n 
(358Yaeffi 
(358 
.. 358) 
cos 
i 
0 
-i + 2 
+ 2 
(362)* (Le) (ie')f 
(362 
.. 364) 
33 
i 
+ 1 
— i + 2 
+ 1 
(366)* (le')V 
(366 
.. 369) 
33 
i 
+ 2 
-4+2 
0 
(370 
(370 
. . 370) 
33 
i 
- 1 
-4+2 
+ 3 
(371)* (ie) {^e'frf 
(371 
. . 371) 
33 
i 
+ 3 
— 4+2 
- 1 
(372)* rf 
(372 
.. 375) 
33 
i 
0 
— 4+4 
0 
(376)* (Le) (Le')^ 
(376 
. . 376) 
33 
i 
+1 
-4 + 4 
-1 
(377)* (Le) (Le')^ 
(377 
.. 377) 
33 
i 
-1 
-4 + 4 
+1 
Terms of fifth order: terms of order 7 having the same arguments. 
bn 
1 
© 
L'-IL' 
© 
i 
Z-n 
(378)* (|e) 5 (378 
. . 381) 
cos 
i 
0 
— i 
+ 5 
(382)* (ie) 2 (Le') (382 
. . 385) 
33 
i 
+ 1 
— i 
+ 4 
(386)* (ie) 2 (Le') 2 (386 
. . 389) 
33 
i 
+ 2 
— i 
+ 3 
(390)* (le) 2 (Le') 3 (390 
. . 393) 
33 
i 
+ 3 
— i 
+ 2 
(394)* (ie) (ief (394 
. . 397) 
33 
i 
+ 4 
— i 
+ 1 
(398)* (L e') 5 (398 
.. 401) 
33 
i 
+ 5 
— i 
0 
(402)* (ie) 6 (Le') (402 
.. 402) 
33 
i 
+ 1 
- i 
-6 
(403)*(Le)(^e') 6 (403 
.. 403) 
33 
i 
+ 6 
— i 
- 1 
(404)* (l e y t] 2 (404 
. . 407) 
33 
i 
0 
-i + 2 
+ 3 
(408)*(*«)»(*«V (408 
.. 411) 
33 
i 
+ 1 
- i + 2 
+ 2 
(412)* (L e ) (L e'f fi (412 
. . 415) 
33 
i 
+ 2 
— i + 2 
+ 1 
(416)* (•! e') 3 rf (416 
.. 419) 
33 
i 
+ 3 
- i + 2 
0 
(420)* (-^ e ) 4 (L e') fi (420 
. . 420) 
33 
i 
- 1 
— i + 2 
+ 4 
(421)* de) (kefrf (421 
. . 421) 
33 
i 
+ 4 
- i + 2 
- 1 
(422)* (J e),* (422 
. . 425) 
33 
i 
0 
— i + 4 
+ 1 
(426)* (| e') rf (426 
. . 429) 
33 
i 
+ 1 
-4 + 4 
0 
(430)‘(è<0Mè<0if (430 
. . 430) 
33 
i 
- 1 
— 4+4 
+ 2 
(431)* (i«) (1 e'frf (431 
.. 431) 
33 
i 
+ 2 
-4 + 4 
- 1 
(432)* (L e ) rf (432 
.. 432) 
33 
i 
0 
— 4+6 
- 1 
(433)* (L e') T? 4 (433 
. . 433) 
33 
i 
-1 
— 4 + 6 
0
	        
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