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Pyramid inscribed and described

Lecture






  Pyramid inscribed and described

A pyramid inscribed in a cone is called such a pyramid, the base of which is a polygon inscribed in the circle of the base of the cone, and the vertex is the vertex of the cone. The lateral edges of the pyramid, inscribed in a cone, are the generators of a cone.

  Pyramid inscribed and described

A tangent plane to a cone is a plane passing through the generator of the cone and perpendicular to the plane of axial section containing this generator.

  Pyramid inscribed and described

The pyramid described near the cone is called the pyramid, whose base is the polygon described near the base of the cone, and the vertex coincides with the vertex of the cone. The planes of the side faces of the pyramid described are tangent planes of the cone.


  Pyramid inscribed and described

A pyramid inscribed in a cone is called such a pyramid, the base of which is a polygon inscribed in the circle of the base of the cone, and the vertex is the vertex of the cone. The lateral edges of the pyramid, inscribed in a cone, are the generators of a cone.

  Pyramid inscribed and described

A tangent plane to a cone is a plane passing through the generator of the cone and perpendicular to the plane of axial section containing this generator.

  Pyramid inscribed and described

The pyramid described near the cone is called the pyramid, whose base is the polygon described near the base of the cone, and the vertex coincides with the vertex of the cone. The planes of the side faces of the pyramid described are tangent planes of the cone.
created: 2014-10-05
updated: 2021-03-13
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Stereometry

Terms: Stereometry