The Exeter point revisited

摘要

Associated with the general triangle ABC are the tangential triangle A~t B~t C~t and the circummedial triangle A* B* C* , where B~t AC~t , C~tBA~t , A~tCB~t are tangents to the circumcircle of the host triangle ABC and AGA*, BGB*, CGC* are chords containing the centroid G.