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 a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: In 1822 Karl Feuerbach discovered that any triangle's nine-point circle is externally tangent to that triangle's three excircles and internally tangent to its incircle; this result is known as Feuerbach's theorem. He proved that: The triangle center at which the incircle and the nine-point circle touch is called the Feuerbach point. The points of intersection of the interior angle bisectors of "ABC" with the segments "BC, CA, AB" are the