The Feuerbach point and Euler lines - Bogdan Suceava and Paul Yiu

  1. Tác giả: LTTK CTV
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    The Feuerbach point and Euler lines - Bogdan Suceava and Paul Yiu

    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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