Urawa Red Diamonds and fixtures between them were known as "Marunouchi derbies", although the term is falling out of use as they are now based in different prefectures and rarely play home games in Tokyo stadiums. Rivals further afield include Kashima Antlers, F.C. Tokyo, Yokohama Marinos, Kawasaki Frontale, and, even farther away, Gamba Osaka. Old JSL championship rivalries with Sanfrecce Hiroshima, Cerezo Osaka and Shonan Bellmare have ebbed down as those clubs had nadirs in the second tier. The club also has women's and amateur teams. Mitsubishi (Amateur era) Urawa Red Diamonds (Professional era) See "Individual Award Winners (Urawa Red Diamonds)" "As of
Incircle and excircles of a triangle Because the Incenter is the same distance of all sides the trilinear coordinates for the incenter are The barycentric coordinates for a point in a triangle give weights such that the point is the weighted average of the triangle vertex positions. Barycentric coordinates for the incenter are given by where formula_7, formula_8, and formula_9 are the lengths of the sides of the triangle, or equivalently (using the law of sines) by where formula_11, formula_12, and formula_13 are the angles at the three vertices. The Cartesian coordinates of the incenter are a weighted average of the coordinates of the three vertices