LinearEccentricity Command

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LinearEccentricity[ <Conic> ]
Calculates the linear eccentricity of the conic section,

For ellipse or hyperbola the distance between the conic center and one of its foci.

Example: LinearEccentricity[4x^2 - y^2 + 16x + 20 = 0] returns 2.24


For circle, return 0

For parabola, the distance between the focus and the vertex

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