Francisco Javier García Capitán, Some simple results on cevian quotients,
Forum Geometricorum, 13 (2013) 227--231.
Abstract. We find the loci of the cevian quotients P/Q and Q/P when one of the points is fixed and the other moves along a given line. We also show that, for a given point P, the locus of Q for which the line joining P/Q and Q/P is parallel to PQ is a conic through P and G/P, and give two simple constructions of the conic.
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