292 ME. A. CAYLEY’S SEVENTH MEMOIE ON QUANTICS. 
Hence, attending to the remarks on the Tables 7 8 and 7 9, we may say that the quartics 
(1, 0, -24S, (By, 
(48S, T, . . 
which belong to the two parts respectively of Table 7 3, and which are related, the first 
of them to the discriminants of osU+GjSHU and 2aYU — 2j3ZU, and the second to the 
discriminants of 6aPU+j3QU, — 2ocCU4-2/3DU, have these relations to each other, viz. 
each is a linear transformation of the Hessian of the other of them, and the cubico- 
variant of each is a linear transformation of the cubicovariant of the other. 
