Paul Yiu, Some constructions related to the Kiepert hyperbola,
Forum Geometricorum, 6 (2006) 343--357.

Abstract: Given a reference triangle and its Kiepert hyperbola K, we study several construction problems related to the triangles which have K as their own Kiepert hyperbolas. Such triangles necessarily have their vertices on K, and are called special Kiepert inscribed triangles. Among other results, we show that the family of special Kiepert inscribed triangles all with the same centroid G form part of a poristic family between K and an inscribed conic with center which is the inferior of the Kiepert center.

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