Selected Muslims In Civilization :: خيار المسلمين في الحضارة  -- Imam Abu Hanifa | Imam Ibn Hanbal | Imam Malik | Imam Al Shafi’i | Al Ayoubi | Al Battani | Al Biruni | Al Buzjani | Al Farghani | Al Kindi | Al Idrisi | Al Khayyam | Al Khawarizmi | Al Tusi | Al Zahrawi | Dan Fodio | Ibn Al-Baitar | Ibn Al Nafis | Ibn Batuta | Ibn Haiyan | Ibn Khaldun | Ibn Rushd | Ibn Qurra | Ibn Sina | Ibn Ziyad | Ibn Zuhr | Sheikh Abdulfattah Abu-Abdullah Adelabu (Ph. D. Damas)

Abul Wafa Muhammad al-Buzjani

Abul Wafa Muhammad Ibn Muhammad Ibn Yahya Ibn Ismail al-Buzjani, a prominent Muslim mathematics and astronomer.

Abul Wafa was born in Buzjan, Nishapur in 940 A.D., and flourished as a great mathematician and astronomer at Baghdad and died in 997/998 A.D. He learnt mathematics in Baghdad. In 959 A.D. he migrated to Iraq and stayed there till he passed away.

Abul Wafa helped in bringing about a lot of theories in several branches of mathematics, particularly geometry and trigonometry. In geometry his contribution lies in solving geometrical problems with opening of the compass; construction of a square equivalent to other squares; regular polyhedral; construction of regular hexagon taking for its side half the side of the equilateral triangle inscribed in the same circle; constructions of parabola by points and geometrical solution of the equations:

x4 = a and x4 + ax3 = b

Abul Wafa's contribution to the development of trigonometry was extensive. He was the first to show the generality of the sine theorem relative to spherical triangles. He developed a new method of constructing sine tables, the value of sin 30’ being correct to the eighth decimal place. He also developed relations for sine (a+b) and the formula:

2 sin2 (a/2) = 1 - cos a, and sin a = 2 sin (a/2) cos (a/2)

He also made a special study of the tangent and calculated a table of tangents. He introduced the secant and cosecant for the first time, knew the relations between the trigonometric lines, which are now used to define them, and undertook far-reaching studies on conics.

Abul Wafa was not only a mathematician he also contributed to astronomy. In this field he discussed different movements of the moon, and discovered 'variation'. He was also one of the last Arabic translators and commentators of Greek works.

He wrote a great number of books on mathematics and other subjects, most of which have been lost or exist in modified forms. His contribution includes Kitab 'Ilm al-Hisab, a practical book of arithmetic, al-Kitab al-Kamil (the Complete Book), Kitab al-Handsa (Applied Geometry). Apart from this, he wrote rich commentaries on Euclid, Diophantos and al-Khawarizmi, but all of these have been lost. His books now extant include Kitab 'Ilm al-Hisab, Kitab al- Handsa and Kitab al-Kamil.

His astronomical knowledge on the movements of the moon has been criticized in that, in the case of 'variation' the third inequality of the moon as he discussed was the second part of the 'evection'. But, according to Sedat, what he discovered was the same that was discovered by Tycho Brache six centuries later.

Nonetheless, his contribution to trigonometry was extremely significant in that he developed the knowledge on the tangent and introduced the secant and cosecant for the first time; in fact a sizeable part of today's trigonometry can be traced back to him.

©  EsinIslam.Com

Links To The Muslim Profiles - The Muslims Who Built The World:

Muslim Profiles -- Imam Abu Hanifa | Imam Ibn Hanbal | Imam Malik | Imam Al Shafi’i | Al Ayoubi | Al Battani | Al Biruni | Al Buzjani | Al Farghani | Al Kindi | Al Idrisi | Al Khayyam | Al Khawarizmi | Al Tusi | Al Zahrawi | Dan Fodio | Ibn Al-Baitar | Ibn Al Nafis | Ibn Batuta | Ibn Haiyan | Ibn Khaldun | Ibn Rushd | Ibn Qurra | Ibn Sina | Ibn Ziyad | Ibn Zuhr | Sheikh Abdulfattah Abu-Abdullah Adelabu (Ph. D. Damas) :: Stories Of The Companions :: قصص الصحابة رضوان الله عليهم  -- 'Abbaad Ibn Bishr | ‘Abdullah Ibn ‘Abbaas | ‘Abdullah Ibn 'Amr Ibn Al-'Aas | 'Abdullah ibn Hudhafah as-Sahmi | 'Abdullah ibn Jahsh | 'Abdullah Ibn Mas'uud | 'Abdullah Ibn Rawaahah | 'Abdullah Ibn Sailam | 'Abdallah Ibn 'Umar | 'Abdullah ibn Umm Maktum | 'Abdullah Ibn Az-Zubair | 'Abd Ar- Rahman Ibn Abi Bakr | 'Abd Ar-Rahman Ibn 'Awf | Abu Ad-Dardaa | Abu Ayuub Al-Ansaariy | Abu Dhar Al-Ghifaariy | Abu Jabir Abdallah bin Amr bin Hiram | Abu Hurairah | Abu-l Aas ibn ar-Rabiah | Abu Muusaa Al-Ash'ariy | Abu Sufyaan Ibn Al-Haarith | Abu Ubaydah ibn al-Jarrah | 'Adiyy ibn Hatim | 'Aishah bint Abi Bakr | Al-'Abbaas Ibn 'Abd Al-Muttalib | Al-Baraa' Ibn Maalik | Al-Miqdaad Ibn 'Amr | 'Ammaar Ibn Yaasir | 'Amr Ibn Al -'Aas | 'Amr Ibn Al-Jamuuh | An-Nuayman ibn Amr | An-Numan ibn Muqarrin | Asmaa bint Abu Bakr | At-Tufail Ibn 'Amr Ad-Dawsiy | Az-Zubair Ibn Al-'Awaam | Barakah | Bilaal Ibn Rabaah | Fatimah bint Muhammad | Fayruz ad-Daylami | Hakim ibn Hazm | Hamzah Ibn 'Abd Al-Muttalib | Hudhaifah Ibn Al-Yamaan | Ikrimah ibn Abi Jahl | Ja'far Ibn Abi Taalib | Julaybib | Habib Ibn Zaid | Khabbab ibn al-Arat | Khaalid Ibn Al-Waliid | Khaalid Ibn Sa'iid | Khubaib Ibn 'Adiy | Mi'aadh Ibn Jabal | Muhammad ibn Maslamah | Mus'ab Ibn 'Umair | Nuaym ibn Masud | Rabiah ibn Kab | Ramlah bint Abi Sufyan | Rumaysa bint Milhan | Qais Ibn Sad Ibn Ubaadah | Sa'd Ibn Abi Waqqaas | Sa'd Ibn Mitaadh | Sa'd Ibn 'Ubaadah | Sa'iid Ibn Aamir | Sa'iid ibn Zayd | Saalim Mawlaa Abi Hudhaifah | Salamah Ibn Al-Akwa' | Salmaan Al-Faarisiy | Suhayb ar-Rumi | Suhayb Ibn Sinaan | Suhayl Ibn'Amr | Talhah Ibn - Ubaid Allah | Thaabit Ibn Qais | Thumamah ibn Uthal | 'Ubaadah Ibn As-Saamit | Ubaiy Ibn Ka'b | Umair Ibn Sa'd | Umair Ibn Wahb | 'Umraan Ibn Husain | Umm Salamah | Uqbah ibn Aamir | Usaamah Ibn Zaid | Usaid Ibn Hudair | 'Utbah Ibn Ghazwaan | 'Uthmaan Ibn Madh'uun | Zayd al-Khayr | Zayd Ibn Al-Khattaab | Zayd Ibn Haarithah | Zayd Ibn Thaabit | Muhammad The Messenger Of Allah :: محمّد رسول الله صلى الله عليه وسلّم  -- Biography by a Muslim, Muhammad Hamidullah | Biography by a non-Muslim, K. Rao | The Prophet (s.a.w.) as a blessing to mankind | Description Of The Prophet (s.a.w.) | Finality of Prophethood | Last Sermon Of The Prophets (s.a.w.) | What other scholars say about the Prophet (s.a.w.) and additional sayings | The Rightly Guided Caliphs :: الخلفاء الراشدون رضوان عليهم | The First Caliph, Abu Bakr (632-634 A.C.)  | The Second Caliph, Umar (634-644 A.C.) | The Third Caliph, Uthman (644-656 A.C.) | The Fourth Caliph, Ali (656-661 A.C.)