Be enclosed in a bracket we obtain a partition of the weight w which **appertains** to the separated partition.

The expression (ab) 4 properly **appertains** to a quartic; for a quadratic it may also be written (ab) 2 (cd) 2, and would denote the square of the discriminant to a factor pres.

Then of course (AB) = (ab) the fundamental fact which **appertains** to the theory of the general linear substitution; now here we have additional and equally fundamental facts; for since A i = Xa i +,ia2, A2= - ï¿½ay + X a2, AA =A?-}-A2= (X2 +M 2)(a i+ a z) =aa; A B =AjBi+A2B2= (X2 +, U2)(albi+a2b2) =ab; (XA) = X i A2 - X2 Ai = (Ax i + /-Lx2) (- /-jai + Xa2) - (- / J.x i '+' Axe) (X a i +%Ga^2) = (X2 +, u 2) (x a - = showing that, in the present theory, a a, a b, and (xa) possess the invariant property.

(2) The elders are to go before the congregation in laying open the rule so far as reacheth any particular now to be considered, and to express their judgment and determination thereof, so far as **appertains** to themselves.

The Scriptures, it is true, contain all that **appertains** to faith and life, but give no clue to the art of confuting gainsayers.

The Yasna, Vispered and Vendidad together constitute the Avesta in the stricter sense of the word, and the reading of them **appertains** to the priest alone.