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parallel in cyclic hexagon

Source: Polish MO Finals 1960 p3

August 30, 2024
geometryhexagonCyclic

Problem Statement

On the circle 6 distinct points A A , B B , C C , D D , E E , F F are chosen in such a way that AB AB is parallel to DE DE , and DC DC is parallel to AF AF . Prove that BC BC is parallel to EF EF
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