Sandor Kiss,  The orthic-of-intouch and intouch-of-orthic triangles,
Forum Geometricorum, 6 (2006) 171--177.

Abstract: Barycentric coordinates are used  to prove that the othic of intouch and intouch of orthic triangles are homothetic. Indeed, both triangles are homothetic to the reference triangle. Ratios and centers of homothety are found, and certain collinearities are proved.

[ps file][pdf file]