Van Aubel's theorem
From Wikipedia, the free encyclopedia
Van Aubel's theorem involves starting with a given quadrilateral (a polygon having four sides), construct a square on each side. Then construct the diagonals of each of these squares to locate the center of each square. Van Aubel's theorem holds that the two line segments connecting the centers of opposite squares are of equal length and intersect at a 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 Antonio Gutierrez
- Van Aubel's Theorem for Quadrilaterals and Van Aubel's Theorem for Triangles by Jay Warendorff, The Wolfram Demonstrations Project.
