Finsler-Hadwiger Theorem


Let the squares  square ABCD and  square AB^'C^'D^' share a common polygon vertex A. The midpoints Q and S of the segments B^'D and BD^' together with the centers of the original squares R and T then form another square  square QRST. This theorem is a special case of the fundamental theorem of directly similar figures (Detemple and Harold 1996).

See also

Directly Similar, Fundamental Theorem of Directly Similar Figures, Square

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Detemple, D. and Harold, S. "A Round-Up of Square Problems." Math. Mag. 69, 15-27, 1996.Finsler, P. and Hadwiger, H. "Einige Relationen im Dreieck." Comment. Helv. 10, 316-326, 1937.Fisher, J. C.; Ruoff, D.; and Shileto, J. "Polygons and Polynomials." In The Geometric Vein: The Coxeter Festschrift. New York: Springer-Verlag, 321-333, 1981.

Referenced on Wolfram|Alpha

Finsler-Hadwiger Theorem

Cite this as:

Weisstein, Eric W. "Finsler-Hadwiger Theorem." From MathWorld--A Wolfram Web Resource.

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