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if A,a,B,b,C, c concyclic then Pascal lines of AaBbCc, AbBcCa, AcBaCa concurrent

Source: Danube 2013 Seniors P1

September 8, 2018
Pascalconcurrencyconcurrentgeometry

Problem Statement

Given six points on a circle, A,a,B,b,C,cA, a, B, b, C, c, show that the Pascal lines of the hexagrams AaBbCc,AbBcCa,AcBaCbAaBbCc, AbBcCa, AcBaCb are concurrent.
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