Conic Sections: The Double Cone![]() Mathematical note: If the half-angle of the cone is then the eccentricity of the intersection is , where is the angle of inclination of the plane. Its projection in the plane is also a conic section, with focus at the origin and eccentricity . Note that the eccentricity of the intersection and of its projection are equal for precisely two values of , namely 0 and , corresponding to eccentricities of 0 and 1, and thus to the circle and parabola, respectively.![]() "Conic Sections: The Double Cone" from The Wolfram Demonstrations Project http://demonstrations.wolfram.com/ConicSectionsTheDoubleCone/ Contributed by: Phil Ramsden |
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