Tangential quadrilateral all of whose sides are tangent to a single conic section has three diagonals that meet at a point. From a tangential quadrilateral, one can form a hexagon with two 180° angles, by placing two new vertices at two opposite points of tangency; all six of the sides of this hexagon lie on lines tangent to the inscribed circle, so its diagonals meet at a point. But two of these diagonals are the same as the diagonals of the tangential quadrilateral, and the third diagonal of the hexagon is the line through two opposite points of tangency. Repeating this same
The Hexagon The Hexagon The Hexagon is a multi-purpose theatre and arts venue in Reading, Berkshire, England. Built in 1977 in the shape of an elongated hexagon, the theatre is operated by Reading Borough Council under the name "Reading Arts and Venues" along with South Street Arts Centre and Reading's concert hall. The theatre was built in 1977 by Robert Matthew Johnson Marshall (RMJM), who also built the adjacent Civic Centre. The original design featured a proscenium but no fly tower. Upon opening, the venue was comparable to Derby's Assembly Rooms—which also opened in 1977—but the Hexagon was described as architecturally and