Ellipse_Properties_of_Directrix_and_String_Construction.svg
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Summary
Description Ellipse Properties of Directrix and String Construction.svg |
English:
A diagram showing some basic properties of an
ellipse
, including
*The distance to a focus, F , from the centre C , is the eccentricity, e multiplied by the semimajor axis, a . *The distance from one focus to the other via any point on the ellipse, P , is always 2 a . *The distance from a point, P , on the ellipse to a focus is always proportional to the distance to a vertical line, D , called the directrix. The constant of proportionality is the eccentricity, e . *The eccentricity is always between 0 and 1. At zero, the ellispe becomes a circle, at 1 the ellipse becomes a parabola. Greater than one, it is a hyperbola.
Ellipse properties> e=0.8 , a=170 px , b=102 px , f=e*a=136 px , d=a/e=212.5 px , Origin = (0 px,0 px)
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This is a
retouched picture
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Simplied and foci where in the wrong place
. The original can be viewed here:
Ellipse Properties.svg
:
. Modifications made by
Dave3457
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Original upload log
This image is a derivative work of the following images:
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File:Ellipse_Properties.svg
licensed with PD-self
- 2008-12-08T05:29:54Z Inductiveload 400x260 (30964 Bytes) Fix text?
- 2008-12-08T05:25:44Z Inductiveload 400x260 (27156 Bytes) {{Information |Description={{en|1=A diagram showing some basic properties of an [[:en:ellipse|]], including *The distance to a focus, ''F'', from the centre ''C'', is the eccentricity, ''e'' multiplied by the semimajor axis,
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