Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 95
to a tangent line drawnthrough the vertex of the other. According to this definition, OG and HE in the adjoiningfigure are conjugate diameters. Explanation 1.—The tangent linewhich passes through the point jfiTisparallel to CG. Hence CG makesthe same angle with the axis as thattangent line does. If… … tion IV,) we find a=. 0) THE HYPEKBOLA. 87 Now if we designate the tangent of the angle which CHmakes with the axis by a, the equation of CH must be of theform because the line passes through the center. Whence a=Z_. (2) Multiplying (1) and (2) together, and we find aa = , A to which equation all…
Geometry, Analytic · Calculus
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