Ellipse

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The rings of Saturn are circular, but when seen partially edge on, as in this image, they appear to be ellipses. Picture by ESO

In mathematics, an ellipse (from Greek ἔλλειψις elleipsis, a "falling short") is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis. An ellipse is also the locus of all points of the plane whose distances to two fixed points add to the same constant.

• See also: Wikipedia, Commons

• Related: Apollonius of Perga, Cartesian oval, Circumconic and inconic, Conic section, Ellipsoid, Elliptic coordinates, Elliptical distribution, Great ellipse, Hyperbola, Oval, Parabola, Proofs involving the ellipse, Spheroid, Superellipse

Video: How to draw Ellipse Video: How to draw Ellipse www.youtube.com/watch?v=7UD8hOs-vaI - Web

Apollonius' Derivation of the Ellipse Apollonius' Derivation of the Ellipse mathdl.maa.org/.../?pa=content&sa=viewDocument&nodeId=196&bodyId=203 - Web

The Shape and History of The Ellipse in Washington... The Shape and History of The Ellipse in Washington, D.C. faculty.evansville.edu/ck6/ellipse.pdf - Web

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• Drawing an ellipse via two tacks a loop and a pen.jpg

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Collection of animated ellipse demonstrations. Collection of animated ellipse demonstrations. www.mathopenref.com/tocs/ellipsetoc.html - Web

Ellipse calculator Ellipse calculator www.numberempire.com/ellipse_calculator.php - Web

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