Lemoine hexagon Lemoine hexagon In geometry, the Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point. There are two definitions of the hexagon that differ based on the order in which the vertices are connected. The Lemoine hexagon can be drawn defined in two ways, first as a simple hexagon with vertices at the intersections as defined before. The second is a self-intersecting hexagon with the lines going through the symmedian point as three of the
Boy with a Glass and a Lute hand a glass full of wine, at which he looks with a smile. His dark costume is trimmed with blue ; his cap hangs on the back of his head, to the left. With his left hand he holds up one end of a mandoline, the other end of which rests on a table. Signed on the right with the monogram ; panel, 36 inches by 30 inches. Exhibited at the Royal Academy Winter Exhibition, London, 1891, No. 72." Hals' positioning of a figure looking upwards was common to many of his genre paintings of the 1620s: This painting is