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Hungary-Israel Binational 1995_2

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October 29, 2008
geometry proposedgeometry

Problem Statement

Let P1 P_1, P2 P_2, P3 P_3, P4 P_4 be five distinct points on a circle. The distance of P P from the line PiPk P_iP_k is denoted by dik d_{ik}. Prove that d_{12}d_{34} \equal{} d_{13}d_{24}.
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