Some circles associated with the Feuerbach points - Nguyen Thanh Dung Consider a triangle with its nine-point circle tangent to the incircle and excircles at the Feuerbach point. We show that the four circles each through the circumcenter, nine-point, and Feuerbach point contain the nine-point center of the intouch triangle or the corresponding extouch triangle. Furthermore, the lines joining these Feuerbach points to the corresponding nine-point centers are concurrent on the nine-point circle of the given triangle. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education
