Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 355
What value must betaken for k ? 336 ANALYTIC GEOMETRY 2. Show tliat the effect of performing transformation (1)and then transformation (2) is to leave the plane unchanged. 4. Reflections in the Axes. Let the plane be reflected inthe axis of x. In other words, let it be rotated through 180° about… … Fig. 7 (2) X = — X, y = y The condition that a curve be symmetric in one of the axes(cf. Ch. V, § 2) is obtained at once from these transformations.Thus the curve C will be symmetric in the axis of x if thecurve C, into which C is carried by (1), is the same curve as C;and the test for this is,…
