Conic Sections - The Ellipse

An elipse on the (x, y) graph

On an (x, y) graph an ellipse can have the shape shown to the left.

EZ GraphHere's a link to EZ Graph - Ellipse. This is a graphic calculator that presents functions that draw an ellipse.

Cone intersected by plane to form elipse

If a plane intersects the cone all of the way around but is not perpendicular to the axis, the conic section is an ellipse. This is shown to the left.

Three Dimensional Virtual RealityClick this link for an interactive 3D virtual reality world showing the ellipse as the intersection of a cone and a plane.

Here is a video that shows several possibilities for forming an ellipse by intersecting a cone and a plane.

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