484 MR. A. E. FORSYTE ON INVARIANTS, CO VARIANTS, AND QUOTIENT- 

 For the first of these equations, we have 



*' = e; a0 M + 8 * a0; + e * 90; + ' 



and therefore 



+ e * A " a<; + 8 * A " 30^ + e * A " a0; 



But, by (64), 



A^=0, 

 and, therefore, 



and so on. Hence* 



= 2/te, - + 2 (p. + i) e; + 2 o* + 2) 0; + . . . 



= 2V M < = 2A< ............... (G7). 



We now have 



and 



A M e M = = A ^, A X = 2/i0 M) A ^' = 



so that 



A^ = 0, 



and / therefore satisfies the form-equation. 

 Again, 



