MathDB

6

Part of 1998 Austrian-Polish Competition

Problems(1)

5 points on a circle, concurrent or parallel wanted - Austrian-Polish 1998

Source:

5/19/2019
Different points A,B,C,D,E,FA,B,C,D,E,F lie on circle kk in this order. The tangents to kk in the points AA and DD and the lines BFBF and CECE have a common point PP. Prove that the lines AD,BCAD,BC and EFEF also have a common point or are parallel.
geometryparallelconcurrencyconcurrentcircle