Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 151
heavy lines the major and minor axes, and through the extremities of each draw lines parallel to the other,thus obtaining a rectangle. Thediagonals of this rectangle, pro-duced, are the asymptotes, sincetheir slopes are clearly ± b/a. The diagonals of the rectanglehave lengths equal to the… … EXERCISES 1. Find the equations and slopes of the asymptotes of thehyperbolas of Exercise 1, § 3. Draw the hyperbolas. THE HYPERBOLA 133 2. Show that the asymptotes of the hyperbola Ax- - Bif- = C, where A, B, and C are any three positive quantities, are givenby the equations 3. Find the equation…
