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In the circle O, chords AB, AC, and AD intersect chord EF at G, H, and M, respectively, so that EG = FM, as shown in the figure. If AG = c_{1}, GB =c_{2}, AM = c_{3}, MD = c_{4}, AH = a_{1}, HC = a_{2}, GH = b_{1}, and HM = b_{2}, prove that .

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Post or view a solution to the problem 1190 Last updated: Feb 24, 2016