Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 151
1). The product of the slopes of a pair of conjugate diameters of the hyperbola is — (Art. 102), and therefore each asymptote is its own conjugate diameter, or in otherwords, an asymptote is a self-conjugate diameter of the hyperbola. 107. Conjugate hyperbolas. The two hyperbolasa2 -t^1, and^-r =… … Fig. 84 Arts. 107, 108] CONCENTRIC HYPERBOLAS 135 is convenient to speak of the first as the primary, and the secondas the conjugate, liyperbola. The foci of the conjugate hyperbola are on the J-axis, and,since c = Va^ + h^ is the same for each hyperbola, the four foci lieon a circle of radius c…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.