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Euler's Theorem for Generalized Quadrilaterals

by Geoffrey A. Kandall

This article originally appeared in:
College Mathematics Journal
November, 2002

Subject classification(s): General Topology | Topology | Geometry and Topology
Applicable Course(s): 4.9 Geometry

The sum of squares of the sides of quadrilateral is equal to the sum of the squares of the diagonals plus 4 times the square of the segment joining the midpoints of the diagonals.

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