Generalized Brahmagupta theorem Let A,B,C,D be four points on a circle, and let M=AC∩BD. If the diagonal lines AC and BD are perpendicular, then the perpendicular from M to any side of the quadrilateral passes through the midpoint of the opposite side. This holds whether M lies inside or outside the circumcircle.
georgeplousos George Plousos
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Generalized Brahmagupta theorem - extended

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