Van Aubel's theorem
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Starting with a given quadrilateral (a polygon having four sides), construct a square on each side. Then constructing the diagonals of each of these squares you have the center of each square. Connect the centers of opposite squares. Van Aubel's Theorem holds that the two line segments are of equal length and intersect at right angle.
[edit] See also
- Petr-Douglas-Neumann theorem
- Thébault's theorem
- Napoleon's theorem
[edit] External links
- Van Aubel's Theorem: an interactive JavaSketch of the figure.
- Eric W. Weisstein, van Aubel's Theorem at MathWorld.
- Proof of Van Aubel by Anonio Gutierrez
