Analytic geometry | Conic sections

Eccentricity (mathematics)

In mathematics, the eccentricity of a conic section is a non-negative real number that uniquely characterizes its shape. More formally two conic sections are similar if and only if they have the same eccentricity. One can think of the eccentricity as a measure of how much a conic section deviates from being circular. In particular: * The eccentricity of a circle is zero. * The eccentricity of an ellipse which is not a circle is greater than zero but less than 1. * The eccentricity of a parabola is 1. * The eccentricity of a hyperbola is greater than 1. * The eccentricity of a pair of lines is (Wikipedia).

Eccentricity (mathematics)
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Related pages

Eccentricity vector | If and only if | Degenerate conic | Ellipse | 0 | Cross section (geometry) | Flattening | Line (geometry) | Determinant | Parabola | Angular eccentricity | SL2(R) | Elliptic partial differential equation | Conic constant | Mathematics | Similarity (geometry) | Focus (geometry) | Möbius transformation | Hyperbola | Hyperbolic partial differential equation | Conic section | Parabolic partial differential equation | Quadric | Circle | Cumulant