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chords of a circle

Source: All-Russian olympiad 1995, Grade 9, First Day, Problem 2

October 20, 2013
geometry proposedgeometry

Problem Statement

A chord CDCD of a circle with center OO is perpendicular to a diameter ABAB. A chord AEAE bisects the radius OCOC. Show that the line DEDE bisects the chord BCBC V. Gordon