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Poncelet Porism for Triangles

Source: 10th Brazilian Math Olympiad - Problem 4

December 27, 2017
Brazilian Math Olympiad 1988geometryporismPlane Geometrycirclesincirclecircumcircle

Problem Statement

Two triangles are circumscribed to a circumference. Show that if a circumference containing five of their vertices exists, then it will contain the sixth vertex too.