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File:Ellipse Properties of Directrix and String Construction.svg

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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 2a. *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 vector image was created with a text editor by Krishnavedala.

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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: 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:

  • 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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3 July 2010

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(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)
Date/TimeThumbnailDimensionsUserComment
current20:59, 7 January 2015Thumbnail for version as of 20:59, 7 January 2015884 × 484 (2 KB)KrishnavedalaSimplified and hand drawn and clearer info to the scale
20:30, 6 July 2010Thumbnail for version as of 20:30, 6 July 2010411 × 274 (41 KB)Dave3457Adjusted directrix
18:58, 4 July 2010Thumbnail for version as of 18:58, 4 July 2010401 × 274 (40 KB)Dave3457font change
18:55, 4 July 2010Thumbnail for version as of 18:55, 4 July 2010401 × 274 (39 KB)Dave3457slight adjustment
18:52, 4 July 2010Thumbnail for version as of 18:52, 4 July 2010401 × 274 (39 KB)Dave3457font change
18:47, 4 July 2010Thumbnail for version as of 18:47, 4 July 2010401 × 274 (39 KB)Dave3457slight font change
18:44, 4 July 2010Thumbnail for version as of 18:44, 4 July 2010401 × 274 (39 KB)Dave3457removed equation and changed fonts
18:22, 4 July 2010Thumbnail for version as of 18:22, 4 July 2010401 × 274 (40 KB)Dave3457slight change
18:21, 4 July 2010Thumbnail for version as of 18:21, 4 July 2010401 × 274 (40 KB)Dave3457slight change
14:59, 4 July 2010Thumbnail for version as of 14:59, 4 July 2010401 × 274 (40 KB)Dave3457slight change
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