Difference between revisions of "LinearEccentricity Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
; LinearEccentricity[ <Conic> ]: Calculates the linear eccentricity of the conic section.
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; 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.
For ellipses or hyperbolas: gives the distance between the conic's center and one of its foci.
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: {{Example|1=<code>LinearEccentricity(4x^2 - y^2 + 16x + 20 = 0)</code> returns 2.24}}
: {{Example|1=<code>LinearEccentricity[4x^2 - y^2 + 16x + 20 = 0]</code> returns 2.24}}
 
 
 
For circles: gives 0
 
 
 
For parabolas: gives the distance between the focus and the vertex
 

Latest revision as of 16:35, 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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