Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 139
h 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… … Fig. 10 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°- - By1 = C, where A, B, and C are any three positive quantities, are givenby the equations VAx + y/By =…
Geometry, Analytic
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