1894.] 



Covariants of Twisted Curves, &c. 



273 



and l> n of the weights 1, 3, 2, n 3, and n 2 respectively, and 

 (2) that, if d be the algebraic degree of the function, then 



^ 



O/ 



{A 

 df 







00;, 



n-m+i 2a) -^ 



-(0 -2) &_!-<) ^- -- .... = 



- 

 o/ 



o/ 



r) 1 



-S (w 1) &&_,, TT -- ---- >0 = 



06 J 



S (m 1) b m a n - m - -- 



-- 

 Cb n 



These equations are then used to find the forms of the earlier in- 

 variants, and to show that there are only four independent covariants, 

 which may be written 



ia = 1 



VOL. LVI. 



