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
Mark Francis (soccer) as its women’s soccer coach, a position he holds today. Francis has led Kansas to three NCAA Tournaments, and won the Big 12 in 2004. Mark Francis (soccer) Mark Francis (born in London, England) was an English-American soccer midfielder who played in the American Soccer League, American Indoor Soccer Association, SISL and USISL. He has also coached at the high school, college and professional levels. He is currently the women's head coach of the University of Kansas. Francis attended Southern Methodist University, playing on the men’s soccer team from 1983 to 1987. During his four seasons, he was a three