Urawa Red Diamonds Urawa Reds uses Ohara City Field for training. In addition to this facility, the club opened Redsland in 2005, which has three grass fields, one artificial turf field, one baseball field, futsal courts and tennis courts. Redsland is opened to the public and club members can use the facilities at relatively cheap fees. Urawa Red Diamonds has a local derby with Omiya Ardija, from Omiya-ku, Saitama city. They first met in the 1987 Emperor's Cup, with Mitsubishi defeating NTT Kanto by 5 to 0 at Nishigaoka National Stadium. The derby first took place in the JSL Second Division in the
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