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The figure shows the squares ABCD, CDFE, and EFHG. AE and BH intercept at P. Prove using Euclidean elements alone that (1) DP is perpendicular to BH; (2) PA is the bisector of angle BPD. This entry contributed by Ajit Athle.

See also: Kaleidoscope of Problem 1144 base on Poincare Disk Model.

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