degenerate hyperbola

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• Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …   Wikipedia

• hyperbola — /huy perr beuh leuh/, n. Geom. the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right… …   Universalium

• degenerate — I. adjective Etymology: Middle English degenerat, from Latin degeneratus, past participle of degenerare to degenerate, from de + gener , genus race, kind more at kin Date: 15th century 1. a. having declined or become less specialized (as in… …   New Collegiate Dictionary

• Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …   Wikipedia

• Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola …   Wikipedia

• Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

• Hyperboloid — Not to be confused with Hyperbolic paraboloid. Hyperboloid of one sheet …   Wikipedia

• Matrix representation of conic sections — In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren t parallel to our …   Wikipedia

• Focus (geometry) — Point F is a focus point for the red ellipse, green parabola and blue hyperbola. In geometry, the foci (  / …   Wikipedia

• Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

• Degeneracy (mathematics) — For the degeneracy of a graph, see degeneracy (graph theory). This article is about degeneracy in mathematics. For other uses, see Degeneracy. In mathematics, a degenerate case is a limiting case in which a class of object changes its nature so… …   Wikipedia