What three curves are produced by making sections of a right circular cone in directions other than parallel to the base?
- Sep 2012
Parabola (plane parallel to the side of the cone)
Hyperbola (plane's angle with the base is greater than that of the side).
Of course, this assumes that you do not run through the apex of the cone. If you do that, you get the degenerate cases of a point, line, and crossed lines instead of ellipse, parabola, and hyperbola respectively.
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