Djura Paunić and Paul Yiu, Regular
polygons and the golden section,
Forum Geometricorum, 16 (2016) 273--281.
Abstract. Given an isosceles triangle and its circumcircle, we construct a chord parallel to the base so that the endpoints and the intersections with the other two sides of the triangle are divided in the golden ratio. This generalizes results of Hagge and Odom for equilateral triangles, and Tran for a "half-square". We apply this construction to an isosceles triangle formed by two consecutive sides of a regular n-gon.
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