- Cosmin Pohoata, The Euler reflection point, The Harvard College Mathematics Review, 2009, to appear. (Link to the PDF file)
The Euler reflection point of a triangle is known in literature as the common point of the reflections of its Euler line OH into each of its sidelines, where O, and H are the circumcenter and the orthocenter of the triangle, respectively. Known as X_110 in Kimberling’s list of triangle centers [5], the Euler reflection point proved six years ago to be also the focus of the Kiepert hyperbola (see [8]). In this note, we give a new theorem which connects this beautiful point to two triads of circles associated with the triangles of Napoleon.
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