If (f,4) 1 be not a perfect square, and rx, s x be its linear factors, it is possible to express f and 4, in the canonical forms Xi(rx)2+X2(**sx**)2, 111(rx)2+1.2 (**sx**) 2 respectively.

If 4) = rx.**sx**, the Y2 =1 normal form of a:, can be shown to be given by (rs) 4 .a x 4 = (ar) 4s: 6 (ar) 2 (as) 2rxsy -I- (as) 4rx; 4) is any one of the conjugate quadratic factors of t, so that, in determining rx, **sx** from J z+k 1 f =o, k 1 is any root of the resolvent.

Combine the separate quantities or numbers expressed in terms of x as unit into a single quantity or number so expressed, obtaining **sx** =10.

CAoyW -T6, burnt), which was present in all combustible bodies in an amount proportional to their degree of combustibility; for instance, coal was regarded as practically 1111 **Sx** **sx** **sx** or say Ex.

CAoyW -T6, burnt), which was present in all combustible bodies in an amount proportional to their degree of combustibility; for instance, coal was regarded as practically 1111 **Sx** **sx** **sx** or say Ex.

If **SX** be divided at A so that SA/AX = e, then A is a point on the curve.

**SX** may be also divided externally at A', so that SA'/A'X = e, since e is less than unity; the points A and A' are the vertices, and the line AA' the major axis of the curve.

Divide **SX** internally at A and externally at A', so that the ratios SA/AX and SA'/A'X are each equal to the eccentricity.