degenerate conic

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• 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

• conic section — Geom. a curve formed by the intersection of a plane with a right circular cone; an ellipse, a circle, a parabola, or a hyperbola. Also called conic. [1655 65] * * * Any two dimensional curve traced by the intersection of a right circular cone… …   Universalium

• 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

• Rotation of axes — is a form of Euclidean transformation in which the entire xy coordinate system is rotated in the counter clockwise direction with respect to the origin (0, 0) through a scalar quantity denoted by θ.With the exception of the degenerate cases, if a …   Wikipedia

• absolute — A conic (a quadric in three dimensions) formed by the assemblage of the points at infinity on a line (in general two points). Its form determines the metrical properties of the geometrical system being operated. Thus in Euclidean geometry, the… …   Dictionary of automotive terms

• Family of curves — A family of curves is a set of curves, each of which is given by a function or parametrization in which one or more of the parameters is variable. In general, the parameter(s) influence the shape of the curve in a way that is more complicated… …   Wikipedia

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

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

• Parabola — For other uses, see Parabola (disambiguation). A parabola …   Wikipedia