Bogdan Suceava and Paul Yiu, The Feuerbach point and Euler
Forum Geometricorum, 6 (2006) 191--197.
Abstract: Given a triangle, we construct three triangles associated its
incircle whose Euler lines intersect on the Feuerbach point, the point of
tangency of the incircle and the nine-point circle. By studying a generalization,
we show that the Feuerbach point in the Euler reflection point of the intouch
triangle, namely, the intersection of the reflections of the line joining
the circumcenter and incenter in the sidelines of the intouch triangle.
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