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ASU 412 All Soviet Union MO 1985 3 equal circumcircles

Source:

August 5, 2019
circumcircleequal circlescircumradiusgeometry

Problem Statement

One of two circumferences of radius RR comes through AA and BB vertices of the ABCDABCD parallelogram. Another comes through BB and DD. Let MM be another point of circumferences intersection. Prove that the circle circumscribed around AMDAMD triangle has radius RR.
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