Another construction of the Simson lines through a given point - Francisco Javier Garcia Capitan We give a simple conic construction of the...
Lemniscates and a locus related to a pair of median and symmedian - Francisco Javier Garcia Capitan We show that the lemniscate of Bernoulli...
Some simple results on cevian quotients - Francisco Javier Garcia Capitan We find the loci of the cevian quotients P/Q and Q/P when one of the...
A generalization of the Conway circle - Francisco Javier Garcia Capitan For any point in the plane of the triangle we show a conic that becomes...
On six circumcenters and their concyclicity - Nikolas Dergiades, Francisco Javier Garcia Capitan, and Sung Hyun Lim Given triangle ABC, let P be...
Construction of circles through intercepts to paralells to cevians - Jean-Pierre Ehrmann, Francisco Javier Garcia Capitan, and Alexei Myakishev...
Collinearity of the first trisection points of cevian segments - Francisco Javier Garcia Capitan We show that the first trisection points of the...
Trilinear polars of Brocardians - Francisco Javier Garcia Capitan We study the trilinear polars of the Brocardians of a point, and investigate...
Means as chords - Francisco Javier Garcia Capitan On the circumcircle of a right triangle, we display chords whose lengths are the quadratic,...
