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 using the side lengths of the triangle relative to the perimeter—i.e., using the barycentric coordinates given above, normalized to sum to unity—as weights. (The weights are positive so the incenter lies inside the triangle as stated above.) If the three vertices are located at formula_14, formula_15, and formula_16, and the sides opposite these vertices have corresponding lengths formula_7, formula_8, and formula_9, then the incenter is at Denoting the incenter of triangle "ABC" as "I", the distances from the incenter to the vertices combined with the lengths of the triangle sides obey the equation Additionally, where "R" and "r" are the