68 



THE UNIVERSITY SCIENCE BULLETIN. 



(38)i 



Kx^ 



K'l 



-^[K-i(/')^-2,^(J-.p) + 



i^'r 





li = 



i^'f 



JK-H/')^j-27^(J-lP)- 

 6r, j K - i (7')-^ {--2>';j ^ (^ - i^'O - 



' GX 



20vM<7- 17'^) 1 , 



L--H7")--' + 47JA'-H/')'^[ 



-2lJ-{J- \P)+iP{J -\P) 



QX- 



-5r;j_^ [K- 1(7')M - 2I^{J-\P] 



( 6X OX 



' dx^ 



+ 15r/^ 5 7^ - i {I'Y !-- 25r/ A (J - i 72) 

 ( ) dx 



+ 25r/(J-i7'0_ . 



The system (D) is left in the canonical form by the trans- 

 formation (20) provided that !>- = 0. We shall now seek those 

 functions of the seminvariants in their semi-canonical form which 

 are left unchanged in value by the transformation (20) subject 

 to the condition ," = 0. 



From (34) or by direct substitution we find that (20) with 

 // = converts Qik into 



(39) Qik=-(^Qik, {i,k = 1,2), 



