Curvature (InstanceTopic, 3)
From Hi.gher. Space
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If the shortest distance between every pair of points is equal to the straight line distance between them, the surface is said to be ''[[flat]]''. | If the shortest distance between every pair of points is equal to the straight line distance between them, the surface is said to be ''[[flat]]''. | ||
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Revision as of 22:28, 16 June 2007
A surface is said to be curved if the shortest distance between any two points A and B on that surface through the n-dimensional bounding space of that surface is greater than the straight line distance S between them:
S = √((A1-B1)2 + (A2-B2)2 + (A3-B3)2 + ... + (An-Bn)2)
If the shortest distance between every pair of points is equal to the straight line distance between them, the surface is said to be flat.
