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 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