.............................. (2), and this is the form we shall chiefly use. 105. The curve y* = 4oa; passes through the origin and the line x — 0 is...equation to the chord joining x'y and x'y" is, — since y* - lax = 0 = y'" - iax", *v , d'-af y"-y' so that -77 - T = . , — y +y *a x—x _y-y y"+y 4a '...

...curve on one side of the axis of x there is a point P' on the other side of the axis such that P'M=PM. Thus the curve is symmetrical with respect to the axis of x. Values of ж greater than a do not give possible values of у ; hence, GA being equal to a, the curve...

...values of x2 > a? the equation (2) shews that there are two equal and opposite values of y, so that the curve is symmetrical with respect to the axis of x. Also, as the value of x increases, the corresponding values of y increase, until, corresponding to an infinite...