Dilation property of ellipses

An ellipse is the image of a circle under a dilation of the plane.

That is, it's a stretching or shrinking of a circle in one direction, relative to the center of the circle.

An ellipse can also be thought of as the image of a particular circle, such as one of radius 1, under a product of two perpendicular dilations of the plane relative to the center of the circle.

formal tour investigative tour

examples proof derivation exercises critique

main concepts page main definitions page main history page main problems page

© 1996-2008 Institute for Studies in Educational Mathematics

Please do not reproduce without permission.


Last updated: 10 June, 2008

MATtours project team led by Larry Copes

The Teaching S!mulatorTM | MATtours Home | ISEM Home