r1728

Let H, G, L be the orthocenter, centroid and DE Longchamps point. Let HahbHc, GaGbGc, LaLbLc be their pedal triangles. The centroids Gh, Gg, Gl of these three triangles are collinear with G in a parallel to the Brocard line, G being the midpoint between Gh and Gl.


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