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Abū Naṣr Manṣūr ibn ʿAlī ibn ʿIrāq al-Jaʿdī (; c. 960 – 1036) was a Persian Muslim mathematician and
astronomer An astronomer is a scientist in the field of astronomy who focuses on a specific question or field outside the scope of Earth. Astronomers observe astronomical objects, such as stars, planets, natural satellite, moons, comets and galaxy, galax ...
. He is well known for his work with the spherical sine law.Bijli suggests that three mathematicians are in contention for the honor, Alkhujandi, Abdul-Wafa and Mansur, leaving out Nasiruddin Tusi. Bijli, Shah Muhammad and Delli, Idarah-i Adabiyāt-i (2004) ''Early Muslims and their contribution to science: ninth to fourteenth century'' Idarah-i Adabiyat-i Delli, Delhi, India, page 44, Abu Nasri Mansur was born in Gilan,
Persia Iran, officially the Islamic Republic of Iran (IRI) and also known as Persia, is a country in West Asia. It borders Iraq to the west, Turkey, Azerbaijan, and Armenia to the northwest, the Caspian Sea to the north, Turkmenistan to the nort ...
, to the ruling family of Khwarezm, the Afrighids. He was thus a prince within the political sphere. He was a student of Abu'l-Wafa and a teacher of and also an important colleague of the mathematician,
Al-Biruni Abu Rayhan Muhammad ibn Ahmad al-Biruni (; ; 973after 1050), known as al-Biruni, was a Khwarazmian Iranian scholar and polymath during the Islamic Golden Age. He has been called variously "Father of Comparative Religion", "Father of modern ...
. Together, they were responsible for great discoveries in mathematics and dedicated many works to one another. Most of Abu Nasri's work focused on mathematics, but some of his writings were on astronomy. In mathematics, he had many important writings on
trigonometry Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The fiel ...
, which were developed from the writings of
Ptolemy Claudius Ptolemy (; , ; ; – 160s/170s AD) was a Greco-Roman mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine science, Byzant ...
. He also preserved the writings of Menelaus of Alexandria and reworked many of the Greeks theorems. He died in the
Ghaznavid Empire The Ghaznavid dynasty ( ''Ġaznaviyān'') was a Persianate Muslim dynasty of Turkic peoples, Turkic ''mamluk'' origin. It ruled the Ghaznavid Empire or the Empire of Ghazni from 977 to 1186, which at its greatest extent, extended from the Oxus ...
(modern-day
Afghanistan Afghanistan, officially the Islamic Emirate of Afghanistan, is a landlocked country located at the crossroads of Central Asia and South Asia. It is bordered by Pakistan to the Durand Line, east and south, Iran to the Afghanistan–Iran borde ...
) near the city of Ghazna.


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Digitized manuscript
() - Folios 8A-12A, Sprenger 1876 (
Berlin State Library The Berlin State Library (; officially abbreviated as ''SBB'', colloquially ''Stabi'') is a universal library in Berlin, Germany, and a property of the German public cultural organization the Prussian Cultural Heritage Foundation (). Founded in ...
) {{DEFAULTSORT:Mansur, Abu Nasr 10th-century Iranian mathematicians 960s births 1036 deaths Scientists who worked on qibla determination 10th-century Iranian astronomers 11th-century Iranian astronomers Astronomers of the medieval Islamic world Scholars from the Ghaznavid Empire People from Gilan province