Van Aubel's theorem: Difference between revisions
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* {{MathWorld | urlname=vanAubelsTheorem | title=van Aubel's Theorem}} |
* {{MathWorld | urlname=vanAubelsTheorem | title=van Aubel's Theorem}} |
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* [http://demonstrations.wolfram.com/VanAubelsTheoremForQuadrilaterals/ Van Aubel's Theorem for Quadrilaterals] and [http://demonstrations.wolfram.com/VanAubelsTheoremForTriangles/ Van Aubel's Theorem for Triangles] by Jay Warendorff, [[The Wolfram Demonstrations Project]]. |
* [http://demonstrations.wolfram.com/VanAubelsTheoremForQuadrilaterals/ Van Aubel's Theorem for Quadrilaterals] and [http://demonstrations.wolfram.com/VanAubelsTheoremForTriangles/ Van Aubel's Theorem for Triangles] by Jay Warendorff, [[The Wolfram Demonstrations Project]]. |
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* [http://dynamicmathematicslearning.com/aubelparm.html Van Aubel's Theorem and some generalizations] at [http://dynamicmathematicslearning.com/JavaGSPLinks.htm Dynamic Geometry Sketches] |
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[[Category:Quadrilaterals]] |
[[Category:Quadrilaterals]] |
Revision as of 20:32, 4 February 2012
![](http://upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Van_Aubel%27s_theorem.png/220px-Van_Aubel%27s_theorem.png)
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 between the centers of opposite squares are of equal lengths and that the lines through the centers are at right angles to one another. The theorem is named after H. H. van Aubel, who published it in 1878.[1]
See also
Notes
External links
- Van Aubel's Theorem: an interactive JavaSketch of the figure.
- Weisstein, Eric W. "van Aubel's Theorem". MathWorld.
- Van Aubel's Theorem for Quadrilaterals and Van Aubel's Theorem for Triangles by Jay Warendorff, The Wolfram Demonstrations Project.
- Van Aubel's Theorem and some generalizations at Dynamic Geometry Sketches