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convex cone. In this case, one says that a convex set C in the real vector space Rⁿ is a cone (with apex at the origin) if for every vector x in C and every nonnegative real number a, the vector ax is in C.^[2] In this context, the analogues of circular cones are not usually special; in fact one is often interested in polyhedral cones.
An even more general concept is the topological cone, which is defined in arbitrary topological spaces.
See also[edit]

• 
  Bicone
  
• 
  Cone (linear algebra)
  
• 
  Cylinder (geometry)
  
• 
  Democritus
  
• 
  Generalized conic
  
• 
  Hyperboloid
  
• 
  List of shapes
  
• 
  Pyrometric cone
  
• 
  Quadric
  
• 
  Rotation of axes
  
• 
  Ruled surface
  
• 
  Translation of axes
  

Notes[edit]

1. 
   ^ Jump up to:^a b c James, R. C.; James, Glenn (1992-07-31). The Mathematics Dictionary. Springer Science & Business Media. pp. 74–75. ISBN 9780412990410.
   
2. 
   ^ Jump up to:^a b Grünbaum, Convex Polytopes, second edition, p. 23.
   
3. 
   ^ Weisstein, Eric W. "Cone". MathWorld.
   
4. 
   ^ Jump up to:^a b Alexander, Daniel C.; Koeberlein, Geralyn M. (2014-01-01). Elementary Geometry for College Students. Cengage Learning. ISBN 9781285965901.
   
5. 
   ^ Hartshorne, Robin (2013-11-11). Geometry: Euclid and Beyond. Springer Science & Business Media. Chapter 27. ISBN 9780387226767.
   

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