A simple synthetic proof of Lemoine's theorem - Tran Quang Hung Using similar triangles and cyclic quadrilaterals, we shall give a simple synthetic proof of the Lemoine's theorem that the symmedian point of a triangle is the unique point which is the centroid of its own pedal triangle. ✪ ✪ ✪ ✪ ✪ Link tải tài liệu: LINK TẢI TÀI LIỆU Theo LTTK Education