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
John Bain (soccer) League. He is currently married to Shannon Bain. They have three boys; Cameron, McEwan, and Stirling. John Bain (soccer) John Bain (born 3 June 1957 in Falkirk, Scotland) is a retired Scottish-US soccer midfielder who currently coaches youth soccer in the United States. Bain began his professional career in England before moving to the United States in 1978. Over his twenty-year playing career, Bain played for numerous leagues and teams, both indoors and out. After retiring from playing professionally, he has coached at the professional, youth club and high school levels in the US. Although born in Scotland, Bain's father