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. ✪ ✪ ✪ ✪ ✪ Hidden Content: **Hidden Content: Content of this hidden block can only be seen by members of (usergroups: V.I.P Downloader).** Theo LTTK Education