Van Aubel's theorem

In geometry, Van Aubel's theorem describes a relationship between squares constructed on the sides of a quadrilateral. Starting with a given quadrilateral (a polygon having four sides), construct a square on each side. Van Aubel's theorem holds that the two line segments connecting the centers of opposite squares are of equal lengths and are at right angles to one another. The theorem is named after H. H. van Aubel, who published it in 1878.

See also

• Petr–Douglas–Neumann theorem
• Thébault's theorem
• Napoleon's theorem

Notes

External links

• : an interactive JavaSketch of the figure.
• and by Jay Warendorff, The Wolfram Demonstrations Project.
• at

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