1921-22.] Concomitants of Quadratic Ditferential Forms. 
171 
(vii) From the coefficients of 6^^, 
t W, 1 1. - m, t (S, + j, -/, )g 
+ “M + (Sa + h-”>)^~ + K + 0i)(^ = 
dr 
dlfr dv , 
'(m, + ® + £) + S) + ”’( 1 ^/ ^S) 
+ 2/,g-2.4^+^g + 63g 
+ (h + ”h - 12 )^ + (/4 + »'3 - «2)|| - + (/<3 +/,)(g - 1^) = 0 , 
+ 2(/4 + >l2 - «»s)|^ - 2.'7 i|^ + ('72 +/l - + «2g^ 
+ (^4 + «4 - y!t + - 2«3^ + {'J2 + cM- f) - 0 , 
'er 
dr 
dif' dv 
+ 2(7,^ - 27,^ + (7, + m, - + {m, + n, -/jg 
+ + ^ 2 % - 2%l^ + (^3 + nJ It 4^) = 0 . 
8if/ dv 
(viii) From the coefficients of ^ 33 , 0733 , ^ 33 , 6^^ , 
4 +4+ 24+ 7?^ 
-a4^^ + (^-27'4 + ('7,-274)| 
~ ~ “'‘It ~ (^‘4 + ^2 “ 
cIt 
+ 771^ 
fi/3 Sc 
3 S2^3 
+ (».-2/.,)|f-l.,»-7 + (,,,-2„,,?7 
