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 Brahmagupta's Corollary: Cyclic quadrilateral. Level: High School, SAT Prep, College geometry

 

If the diagonals AC and BD of a cyclic quadrilateral ABCD are perpendicular, then the midpoints P, Q, M, N and the feet F, G, H, J of the perpendiculars from the point of intersection of the diagonals to the sides all lie on a circle centered at the midpoint of the line EO.  See also: Brahmagupta's Theorem.

Brahmagupta (598–668) was an Indian mathematician and astronomer who discovered a neat formula for the area of a cyclic quadrilateral.

 

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Last updated: April 20, 2007