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 has area formula_39. Similarly, formula_40 has area formula_41 and formula_42 has area formula_43. Since these three triangles decompose formula_35, we see that the area formula_45 is: where formula_48 is the area of formula_35 and formula_50 is its semiperimeter. For an alternative formula, consider formula_51. This is a right-angled triangle with one side equal to "r" and the other side equal to formula_52. The same is true for formula_53. The large triangle is composed of 6 such triangles and the total area is: The Gergonne triangle (of "ABC") is defined by the 3 touchpoints of the incircle on the 3 sides.