Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 154
asymptotes of a hyperbola, its equation is, (y + 2 x + 3) (2 y - 3 x - 1) ± C - o.Art. 105. It is often desirable to refer the equation of ahyperbola to its asymptotes as axes. A nalytical Geometry. *45 By determining the angles made by the new axes (theasymptotes) and the old, and using the… … Fig. 55- Since the new axes are asymptotes, their slopes are H— and — — from their equations, that is,a a tan b . J tan 0 = &_ a a 146 Analytical Geometry. whence by Goniometry, sin 6 = , b , cos 0 = Va2 + b2 Va2 + b2 • , b r a sin 0 = ■ , cos 0 = Va2 + b2 Va2 + b2 Substituting these values in…
Geometry, Analytic · Calculus
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