Difference between revisions of "LinearEccentricity Command"

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; LinearEccentricity( <Conic> ): Calculates the linear eccentricity of the conic section.
; LinearEccentricity[Conic]: Calculates the linear eccentricity of the conic section.
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:For ellipses or hyperbolas the command gives the distance between the conic's center and one of its foci, for circles it gives 0, and for parabolas gives the distance between its focus and the vertex.
: {{Note| The linear eccentricity is the distance between the conic center and its focus (or one of its two foci).}}
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: {{Example|1=<code>LinearEccentricity(4x^2 - y^2 + 16x + 20 = 0)</code> returns 2.24}}

Latest revision as of 15:35, 4 October 2017


LinearEccentricity( <Conic> )
Calculates the linear eccentricity of the conic section.
For ellipses or hyperbolas the command gives the distance between the conic's center and one of its foci, for circles it gives 0, and for parabolas gives the distance between its focus and the vertex.
Example: LinearEccentricity(4x^2 - y^2 + 16x + 20 = 0) returns 2.24
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