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
History of soccer in the United States 1924 when USFA created the National Amateur Cup. That spelled the death knell for the American Cup. It played its last season in 1924. Towards the end of the 1920s, a period in American soccer known as the "American Soccer Wars" ignited. The Soccer Wars regarded the internal conflicts with the American Soccer League and their affiliated clubs participating in the National Challenge Cup. The debate involved whether the United States Football Association or the American Soccer League was the true chief organization of American soccer at the time, and consequently wrecked the reputation and possibly even the popularity of