False position method ibn Luqa (10th century), an Arab mathematician from Baalbek, Lebanon. He justified the technique by a formal, Euclidean-style geometric proof. Within the tradition of medieval Muslim mathematics, double false position was known as "hisāb al-khaṭāʾayn" ("reckoning by two errors"). It was used for centuries to solve practical problems such as commercial and juridical questions (estate partitions according to rules of Quranic inheritance), as well as purely recreational problems. The algorithm was often memorized with the aid of mnemonics, such as a verse attributed to Ibn al-Yasamin and balance-scale diagrams explained by al-Hassar and Ibn al-Banna, all three being mathematicians of
Christopher Sullivan (soccer) Christopher Sullivan (soccer) Christopher Sullivan (born April 18, 1965 in San Jose, California) is a retired U.S. soccer midfielder/forward and current soccer trainer and sports broadcaster. Sullivan began playing soccer at a young age. When he was four he began playing with West Valley S.C. He attended and played soccer at NCAA Division II powerhouse University of Tampa. He was inducted into the University of Tampa Athletic Hall of Fame in October 2010. While playing for the University of Tampa, he earned a second team Division II All American in 1986 and a first team All American in 1987. His