Plane Cross Sections of the Surface of a Cone
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This is a simple Demonstration of the cross sections of the surface of a cone. It shows not only the nondegenerate conics, that is, the ellipse, the hyperbola, and the parabola, but also the degenerate conics (which are a single point), a straight line, and a pair of intersecting lines.
Contributed by: Petr Maixner (January 2014)
Open content licensed under CC BY-NC-SA
See the Demonstrations in Related Links to easily find some interesting preset positions of the plane.
For more theory see .
 Wikipedia. "Conic Section." (Dec 31, 2013) en.wikipedia.org/wiki/Conic_section.
"Plane Cross Sections of the Surface of a Cone"
Wolfram Demonstrations Project
Published: January 14 2014