Keith Dean and Floor van Lamoen, Geometric Construction of Reciprocal Conjugations

Forum Geometricorum, 1 (2001) 115 -- 120.

Abstract:   Two conjugation mappings are well known in the geometry of the triangle: the isogonal and  isotomic conjugations. These two are members of the family of reciprocal conjugations. In this paper we provide an easy and general construction for reciprocal conjugates of a point, given a pair of conjugate points. A connection is made to desmic configurations.

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