Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 154
mptotes of the hjperbolawhose transverse axis is AB, and also of the conjugate BOOK v.] THE HYPERBOLA 153 hyperbola wLose transverseaxis is DD, If we designate the angleestimated from CB aroundto Cn^ by a, and the angleBGG^ by cfJ \ or, what isequivalent, designate theangle BGG\ by -a, tan a =or,… … tan a A^ sin^a—^2 cos^a =: 0. ( 3.) B^ A^ -A-^y or, tan^a = ^2sinV—^2cosV=0. (4.) Equations (3) and (4) express the relations between theangles which the asymptotes form with the transverse axis.They are called, equations of conditio^i, 1. If the hj-pcrbola is equilateral, A = B, and Equortions (1)…
Geometry, Analytic · Calculus
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