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von Aubel's Theorem

\begin{figure}\begin{center}\BoxedEPSF{vonAubelsTheorem.epsf scaled 800}\end{center}\end{figure}

Given an arbitrary Quadrilateral, place a Square outwardly on each side, and connect the centers of opposite Squares. Then the two lines are of equal length and cross at a Right Angle.

See also Quadrilateral, Right Angle, Square


Kitchen, E. ``Dörrie Tiles and Related Miniatures.'' Math. Mag. 67, 128-130, 1994.

© 1996-9 Eric W. Weisstein