438 MB. A. R. FORSYTH ON INVARIANTS, COVARIANTS, AND QUOTIENT- 

 and therefore 



Tfcu 6 



so that 



3 = loQ 3 t*V 



by (16) in its canonical form. And by (15) we have 



Q 4 = 4 + 2Q' 3) 



and 



Q 3 = 3 



in the canonical form of 0, so that 



Hence 



4 *6 ~ 



= 10w 3 



by (iv.) and (xxiv.) ; and, therefore, 



7@' 3 2 ) + 1OM*'0' 3 + 1%80 3 (U 2 

 3 + J# ( 2 0' 3 2 



From the existence of this covariant relation, inferences as to the number of identical 

 co variants may be derived similar to those made in the case of the quartic. 



Symbolical Expressions for Successive Jacobian Derivatives. 



79. A very simple symbolical form can be given to the covariants, obtained by 

 continued application of the Jacobian process from two fundamental concomitants.* 



* See also HALPHEN, ' Acta Math.,' vol. 3, p. 333. 



