Abstract
This chapter describes quadric cone, cone with vertex at the origin, circular cone, angle between two generators, reciprocal cone, and quadric cylinder. A straight line called a generator, which always passes through a fixed point called the vertex, and which intersects a fixed conic, traces out a surface, called a quadric cone. If the conic degenerates to a line-pair, the cone degenerates to a pair of planes or possibly to two coincident planes. Any generator gives rise to a triple of mutually orthogonal generators. The problem of finding three mutually orthogonal generators of a cone is thus poristic. If it is satisfied it is said that the cone is rectangular. The reciprocal of a rectangular cone possesses an infinite number of triples of mutually orthogonal tangent planes. Such a cone is called an orthogonal cone. The reciprocal of an orthogonal cone is a rectangular cone.
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