Urawa Red Diamonds and fixtures between them were known as "Marunouchi derbies", although the term is falling out of use as they are now based in different prefectures and rarely play home games in Tokyo stadiums. Rivals further afield include Kashima Antlers, F.C. Tokyo, Yokohama Marinos, Kawasaki Frontale, and, even farther away, Gamba Osaka. Old JSL championship rivalries with Sanfrecce Hiroshima, Cerezo Osaka and Shonan Bellmare have ebbed down as those clubs had nadirs in the second tier. The club also has women's and amateur teams. Mitsubishi (Amateur era) Urawa Red Diamonds (Professional era) See "Individual Award Winners (Urawa Red Diamonds)" "As of
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