Jean-Pierre Ehrmann and Bernard Gibert, The Simson Cubic

Forum Geometricorum, 1 (2001) 107 -- 114.

Abstract:   The Simson cubic is the locus of the trilinear poles of the Simson lines. There exists a conic such that a point M lies on the Simson cubic if and only if the line joining M to its isotomic conjugate is tangent to this conic. We also characterize cubics which admit pivotal conics for a given isoconjugation.

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