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.