Van Aubel's theorem

Van Aubel's Theorem

Van Aubel's theorem

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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.

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