MathDB

5

Part of 1997 Chile National Olympiad

Problems(1)

concurrency wanted. 3 circles intersecting in pairs given (Chile 1997 P5)

Source:

5/27/2019
Let: C1,C2,C3 C_1, C_2, C_3 three circles , intersecting in pairs, such that the secant line common to two of them (any) passes through the center of the third. Prove that the three lines thus defined are concurrent.
geometrycirclesconcurrent