MathDB
concurrent lines starting with touchpoint of incircle with triangle

Source: Kazakhstan NMO 2003 grade XI P4

May 12, 2019
geometryincircleconcurrencyconcurrent

Problem Statement

Let the inscribed circle ω \omega of triangle ABC ABC touch the side BC BC at the point A′ A '. Let AA′ AA ' intersect ω \omega at P≠A P \neq A . Let CP CP and BP BP intersect ω \omega , respectively, at points N N and M M other than P P . Prove that AA′,BN AA ', BN and CM CM intersect at one point.
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