Difference between revisions of "Cone"

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In [[mathematics]], a '''right circular cone''' is a three dimensional object formed by rotating two intersecting [[line]]s about the line which [[bisect]]s the angle between them.
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In [[mathematics]], a '''right circular cone''' is the surface, located in the three dimensional space, formed by rotating one [[line]]s about another line that intersects it at an angle that is not the right angle. The point where the two lines intersect is the vertex.
  
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The intersection of a plane with this object forms an important set of two dimensional functions, called the [[conic section]]s.
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The intersection of a plane with this object forms an important set of two dimensional curves, called the [[conic section]]s.
  
 
Cones in general do not have to be "right" or "circular", and may be truncated, i.e., not extend to infinity.  A familiar example of a (doubly) truncated cone is a basketball net.
 
Cones in general do not have to be "right" or "circular", and may be truncated, i.e., not extend to infinity.  A familiar example of a (doubly) truncated cone is a basketball net.

Revision as of 16:50, June 16, 2009

In mathematics, a right circular cone is the surface, located in the three dimensional space, formed by rotating one lines about another line that intersects it at an angle that is not the right angle. The point where the two lines intersect is the vertex.

The intersection of a plane with this object forms an important set of two dimensional curves, called the conic sections.

Cones in general do not have to be "right" or "circular", and may be truncated, i.e., not extend to infinity. A familiar example of a (doubly) truncated cone is a basketball net.

The volume of a cone is equal to the product of the base, height, and one third.