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
Brian Johnson (soccer) Brian Johnson (soccer) Brian "B.J." Johnson (born March 7, 1974) is a retired American soccer midfielder who spent five seasons in Major League Soccer with the Kansas City Wizards. He is an assistant coach with the West Virginia Mountaineers soccer team. In 1992, Johnson graduated from Granada High School in Livermore, California. He attended the Fresno State University, playing on the men's soccer team from 1992 to 1996. He spent the 1995 season training with the U.S. Olympic soccer team. In 1996, he returned to Fresno State where he was a 1996 Third Team All American. Johnson completed his degree