Back Описана сфера Bulgarian Umkugel German Ĉirkaŭskribita sfero Esperanto Esfera circunscrita Spanish Sphère circonscrite French Esfera circunscrita Galician Արտագծած գնդային մակերևույթ Armenian 外接球面 Japanese Kula opisana Polish Sferă circumscrisă Romanian
In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices.[1] The word circumsphere is sometimes used to mean the same thing, by analogy with the term circumcircle.[2] As in the case of two-dimensional circumscribed circles (circumcircles), the radius of a sphere circumscribed around a polyhedron P is called the circumradius of P,[3] and the center point of this sphere is called the circumcenter of P.[4]
- ^ James, R. C. (1992), The Mathematics Dictionary, Springer, p. 62, ISBN 9780412990410.
- ^ Popko, Edward S. (2012), Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere, CRC Press, p. 144, ISBN 9781466504295.
- ^ Smith, James T. (2011), Methods of Geometry, John Wiley & Sons, p. 419, ISBN 9781118031032.
- ^ Altshiller-Court, Nathan (1964), Modern pure solid geometry (2nd ed.), Chelsea Pub. Co., p. 57.