Francisco Javier García Capitán, Collinearity of the first trisection points of cevian segments,
Forum Geometricorum, 11 (2011) 217--221.

Abstract.   We show that the first trisection points of the cevian segments of a finite point P are collinear if and only if P lies on the Steiner circum-ellipse. Some further results are obtained concerning the line containing these first trisection points.

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