Forum Geometricorum, 2 (2002) 33--37.
Abstract: When a circle intersects each of the sidelines of a triangle in two points, we can pair the intersections in such a way that three chords not along the sidelines bound a triangle, which we call a chordal triangle. In this paper we show that equilateral chordal triangles are homothetic to Morley's triangle, and identify all cases.
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