Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 287
a fixed direction, e.g. the axis of x ; the coordinates of Rare then : x = a cos 6^ y = asin^. We prefer, however, to use as aux-iliary variables the coordinates of R connected by equation (2). 268 ANALYTIC GEOMETRY Take, as the auxiliary motion, the tracing of the circle bythe point It and, as… … y 0 y X — a (x— a). Fig. 3 Since P is the point of in-tersection of AR and ARjits coordinates {X, Y) satisfy both these equations: (3)(4) T=-y—{x+d). x-{-a x We have, then, three equations, (2), (3), and (4), involving,besides the constant a, the coordinates (X, Y) of the movingpoint and the…
