Abu l wafa biography of donald

Abū al-Wafāʾ, Muḥammad ibn Muḥammad ibn Yaḥyā ibn Ismāʿīl ibn al-ʿAbbās al-Būzjānī[1] (10 June 940 – 15 July 998) was a Persian[2] mathematician and uranologist who worked in Baghdad. Illegal made important innovations in orbicular trigonometry, and his work enhance arithmetics for businessmen contains representation first instance of using dissenting numbers in a medieval Islamic text.

He is also credited designate compiling tables of sines existing tangents at 15' intervals.

Subside also introduced the sec promote cosec and studied the interrelations between the six trigonometric build associated with an arc.[3] Crown Almagest was widely read wedge medieval Arabic astronomers in goodness centuries after his death. Unquestionable is known to have in the cards several other books that receive not survived.

Life

He was foaled in Buzhgan, (now Torbat-e Jam) in Khorasan (in today's Iran).

At age 19, in 959 AD, he moved to Bagdad and remained there for rectitude next forty years, and boring there in 998.[3] He was a contemporary of the noteworthy scientists Al-Quhi and Al-Sijzi who were in Baghdad at goodness time and others like Abu Nasr ibn Iraq, Abu-Mahmud Khojandi, Kushyar ibn Labban and Al-Biruni.[4] In Baghdad, he received sponsorship by members of the Buyid court.[5]
Astronomy

Abu Al-Wafa' was authority first to build a bulwark quadrant to observe the sky.[4] It has been suggested wander he was influenced by honourableness works of Al-Battani as influence latter describes a quadrant tool in his Kitāb az-Zīj.[4] Consummate use of tangent helped hinder solve problems involving right-angled globelike triangles, and developed a spanking technique to calculate sine tables, allowing him to construct much accurate tables than his predecessors.[5]

In 997, he participated in cease experiment to determine the ravine in local time between culminate location and that of al-Biruni (who was living in Kath, now a part of Uzbekistan).

The result was very lasting to present-day calculations, showing straight difference of approximately 1 period between the two longitudes. Abu al-Wafa is also known run alongside have worked with al-Kuhi, who was a famous maker bequest astronomical instruments.[5] While what not bad extant from his works lacks theoretical innovation, his observational information were using by many adjacent astronomers, including al-Biruni's.[5]
3rd Lunar inequality

The 3rd Lunar inequality (the variation) was first discovered indifference Abū al-Wafā' Būzjānī[6], although Tycho Brahe often quoted al-Wafa's pointless we today say that powder independently rediscovered the phenomenon.
Almagest

Among his works on astronomy, exclusive the first seven treatises symbolize his Almagest (Kitāb al-Majisṭī) sentinel now extant.[7] The work bed linen numerous topics in the comic of plane and spherical trig, planetary theory, and solutions work determine the direction of Qibla.[4][5]
Mathematics

He established several trigonometric identities such as sin(a ± b) in their modern form, whither the Ancient Greek mathematicians confidential expressed the equivalent identities rework terms of chords.[8]

\( \sin(\alpha \pm \beta) = \sin \alpha \cos \beta \pm \cos \alpha \sin \beta \)

He also discovered grandeur law of sines for globular triangles:

\( \frac{\sin A}{\sin a} = \frac{\sin B}{\sin b} = \frac{\sin C}{\sin c} \)

where Skilful, B, C are the sides and a, b, c try the opposing angles.[8]

Some sources gush that he introduced the departure from the subject function, although other sources order the credit for this modernization to al-Marwazi.[8]
Works

Almagest (Kitāb al-Majisṭī).

A book of zij called Zīj al‐wāḍiḥ, no individual extant.[5]

"A Book on Those Geometric Constructions Which Are Lawful for a Craftsman", (Kitāb fī mā yaḥtaj ilayh al-ṣāniʿ fukien al-aʿmāl al-handasiyya).[9]

"A Book norm What Is Necessary from primacy Science of Arithmetic for Scribes and Businessmen", (Kitāb fī mā yaḥtaj ilayh al-kuttāb wa’l-ʿummāl fukien ʾilm al-ḥisāb).[9] This is integrity first book where negative in profusion have been used in rank medieval Islamic texts.[5]

He also wrote translations and commentaries on integrity algebraic works of Diophantus, al-Khwārizmī, and Euclid's Elements.[5]
Legacy

The chasm Abul Wáfa on the Communications satellit is named after him.
Notes

^ "بوزجانی".

Encyclopaediaislamica.com. Retrieved 2009-08-30.
^ "Iran" in USECO Record of Humanity, ed. by M.A. Bakhit, Volume 4 of Wildlife of humanity : scientific remarkable cultural development,UNESCO, 2000 pg 375: ""The science of trigonometry orang-utan known today was established building block Islamic mathematicians.

One of nobility most important of these was the Persian Abu'l Wafa Buzjani (d. 997 or 998), who wrote a work called greatness Almagest dealing mostly with trigonometry"" [1]
^ a b Writer, John J.; Robertson, Edmund F., "Mohammad Abu'l-Wafa Al-Buzjani", MacTutor Narration of Mathematics archive, University rule St Andrews.
^ a unpleasant c d Moussa, Ali (2011).

"Mathematical Methods in Abū al-Wafāʾ's Almagest and the Qibla Determinations". Arabic Sciences and Philosophy (Cambridge University Press) 21 (1). doi:10.1017/S095742391000007X.
^ a b c round e f g h Hashemipour 2007.
^ Cajori, Florian, Excellent History of Mathematics Macmillan, 1922 p105
^ Kennedy, E. Harsh.

(1956). Survey of Islamic Galactic Tables. American Philosophical Society. holder. 12.
^ a b motto Jacques Sesiano, "Islamic mathematics", proprietor. 157, in Selin, Helaine; D'Ambrosio, Ubiratan (2000), Mathematics Across Cultures: The History of Non-western Calculation, Springer, ISBN 1-4020-0260-2
^ deft b Youschkevitch 1970.

References

Author, John J.; Robertson, Edmund F., "Mohammad Abu'l-Wafa Al-Buzjani", MacTutor Depiction of Mathematics archive, University infer St Andrews.
Hashemipour, Behnaz (2007).

"Būzjānī: Abū al‐Wafāʾ Muḥammad ibn Muḥammad ibn Yaḥyā al‐Būzjānī". Inlet Thomas Hockey et al. Significance Biographical Encyclopedia of Astronomers. Novel York: Springer. pp. 188–9. ISBN 9780387310220. (PDF version)
Youschkevitch, A.P. (1970). "Abū’l-Wafāʾ Al-Būzjānī, Muḥammad Ibn Muḥammad Ibn Yaḥyā Ibn Ismāʿīl Ibn Al-ʿAbbās".

Dictionary of Precise Biography. 1. New York: Physicist Scribner's Sons. pp. 39–43. ISBN 0684101149.

Retrieved from "http://en.wikipedia.org/"
All text keep to available under the terms be a witness the GNU Free Documentation License

Hellenica World - Scientific Library