Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 96
2), and hence isa point of the hyperbola. 42. If we place y = 0 in (7), §41, we have x = ±a. Hencethe curve intersects OXva. two points, A and ./, called the vertices.If x = 0, y is imaginary. Hence the curve does not intersect 0 Y. Solving (7), § 41, for y and x respectively, we have y = ±- va and… … Fig. 75 As rr increases, the term — decreases, approaching zero as a x limit. Hence the more the hyperbola is prolonged, the nearer it comes to the straight lines y = ±-x. Therefore the straight lines y = ±-x are the asymptotes of the hyperbola. They are the diagonals of the rectangle constructed…
Geometry, Analytic · Calculus
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
