Jean-Pierre Ehrmann, Francisco Javier García Capitán, and Alexei Myakishev,
Construction of circles through intercepts of parallels to cevians,
Forum Geometricorum, 11 (2011) 261--268.
Abstract. From the traces of the cevians of a point in the plane of a given triangle, construct parallels to the cevians to intersect the sidelines at six points. We determine the points for which these six intersections are concyclic.
[ps file] [pdf]