Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 243
14?/+ 9 = 0 by transforming to new axes through the point (2, 1), theangle from the old axis of x to the new being 45°. Here Xq = 2, ?/o = 1, and y = 45°. We might substitute thesevalues in formulas (3) and then apply the formulas to thegiven equation. It is, however, more feasible in general… … Fig. 7 V2Then (7) becomes 1 {x - yY + 3 {x^ - y^)+ i(a; + ?/0^-8 = O, or, on simplification, 2x^-y^ = 4.. Consequently, equation (6) repre-sents a hyperbola with its center at TRANSFORMATION OF COORDINATES 225 the point (2, 1) and with its transverse axis inclined at anangle of 45° to the axis of…
