Urawa Red Diamonds Urawa Red Diamonds , colloquially Urawa Reds, are a professional association football club playing in Japan's football league, J1 League. The name Red Diamonds alludes to the club's pre-professional era parent company Mitsubishi. The corporation's logo consists of three red diamonds, one of which remains within the current club badge. Its hometown is the city of Saitama in Saitama Prefecture, but its name comes from the former city of Urawa, which is now a part of Saitama City. Shin-Mitsubishi Heavy Industries established a football club in 1950 in Kobe and moved the club to Tokyo in 1958. In 1965 it
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