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
Midfielder According to positioning along the field, attacking midfield may be divided into "left, right" and "central attacking midfield" roles but mostly important he is a striker behind the forwards. A central attacking midfielder may be referred to as a "playmaker", or "number ten" (due to the association of the number 10 shirt with this position). A good attacking midfielder needs good passing abilities, vision, the ability to make long shots, and solid dribbling skills. These players typically serve as the offensive pivot of the team, and are sometimes said to be "playing in the hole," although this term can also