Difference between revisions of "Center"

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(center of a geometric figure)
 
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The '''center''' of a [[geometric]] shape is a point that, on average, the points of the shape are [[equidistant]] from. This point does not have to be on the shape itself.  
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The '''center''' of a [[circle]] is the point that all the points on the curve are equidistant from. The center is not a point on the circle because the circle is only the rim and has empty interior.  
  
For example, all the points of a [[circle]] are equidistant the center, however the center is not a point on the circle because the circle is only the rim and has empty interior. In contrast, the center of a disk is a point of the disk.  
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In contrast, the center of a disk is a point of the disk. See [[centroid]].
 
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We must say "on average" in the definition because, for example, not all points are the same distance away from the center of a [[square]], however the distances will average to be the same value and cancel out.
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For complicated geometric shapes and [[solid]]s, the term [[centroid]] is prefered.
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[[Category:Geometry]]
 
[[Category:Geometry]]

Revision as of 06:49, 5 January 2009

The center of a circle is the point that all the points on the curve are equidistant from. The center is not a point on the circle because the circle is only the rim and has empty interior.

In contrast, the center of a disk is a point of the disk. See centroid.