Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 254
forigin, i.e. a transformation to parallel axes. Example 1. Let it be required to identify and to describeaccurately the curve represented by the equation(1) 5 a;2 _ 4 2/- - 20 a; - 24 ?/ -f- 4 = 0. Completing the square of the terms in x and then of the terms in y, according to the method of Ch.… … Fig. 1 Consequently, equation (1) represents a hyperbola with itscenter at the point (2, — 3) and with its transverse axis par- 235 236 ANALYTIC GEOMETRY allel to the axis of y. The coordinates of the foci, referredto the new axes, are (0, ± 3); consequently, when referredto the original axes, they…
