MathDB
Czech republic,district round,2008,problem 4

Source:

February 25, 2012
geometrycalculusfunctiongeometry proposed

Problem Statement

A semicircle has diameter ABAB and center SS,with a point MM on the circumference.U,VU,V are the incircles of sectors ASMASM and BSMBSM.Prove that circles U,VU,V can be seperated by a line perpendicular to ABAB.
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