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A Geometric Inequality for Convex Polygons

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A Geometric Inequality for Convex Polygons

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Title: A Geometric Inequality for Convex Polygons
Author: Ghandehari, Mostafa
Abstract: Consider a regular polygon with vertices P1, P2, , Pn. Assume P is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = 1, ...., n. Let A denote the area of the polygon. It is shown that [see pdf for notation] special cases of the above inequality are proved for some nonregular convex polygons. An example is given to show that the above inequality is not true for a general convex polygon.
URI: http://hdl.handle.net/10106/2460
Date: 2001-05

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