Al Battani
Al-Battani (ca. 855 - 923 ) was an astronomer and mathematician Arabic (also written as Al Batani, and Latin: Albategnius, Albategni, Albatenius; full name born in Harran near Urfa in Turkey. His epithet as-Sabi suggests that his ancestors were members of the sect of Sabians who worshiped the stars, but his full name said he was Muslim. It is sometimes referred to as " Ptolemy of the Arabs. "
Al-Battani worked in Syria , in Ar-Raqqa and Damascus where he died.
His major work, the Kitab az-Zij (the "Book of Tables") composed of 57 chapters, translated into Latin as De Motu stellarum by Plato of Tivoli (Plato Tiburtinus) in 1116 (printed 1537 by Melanchthon , annotated by Regiomontanus ), has significantly influenced the astronomy in Europe. A new edition appeared at Bologna in 1645. Plato's original manuscript is kept in the Vatican library. The Escorial Library possesses a manuscript of astronomical chronology of al-Battani.
Astronomy
He corrected some calculations of Ptolemy and produced new tables for the Sun and the Moon , which have long considered authoritative. He also discussed the division of the celestial sphere. He discovered the movement of the apogee of the Sun, calculated values of the precession of the equinoxes (54.5 "per year) and the tilt of the Earth's axis (23 35 ').
Mathematics
Probably without knowing the work of the astronomer India 's fifth century Aryabhata , he introduced the use of sines in calculation, and partly that of the tangent , thus forming the basis for trigonometry modern.
He used the ideas of al-Marwazi on tangents (or "shadows") to develop methods for calculating tangents and cotangent, and he has compiled tables.
He created several trigonometric formulas:
He also solved the equation
by translating by the following equation:




