Sharafuddin al-Muzaffar ibn Muhammad at-Tusi ( 1135 - 1213 ) - Persian mathematician and astronomer. Born in Tus , worked in Hamadan . Teacher Kamal ad-Din ibn Younis .
| Sharaf al-Din al-Muzaffar ibn Muhammad at-Tusi | |
|---|---|
| Date of Birth | 1135 |
| Place of Birth | Tus |
| Date of death | 1213 |
| Place of death | |
| A country | |
| Scientific field | astronomy , math |
| Place of work | Hamadan |
| supervisor | Ibn Younis, Kamal ad-Din |
He wrote A Treatise on Algebra and Mukaballa, in which he outlined a method for approximating the solution of cubic equations, close to the methods of Viet and Newton , and at the same time being a generalization of the method of extracting cubic roots used by Kushyar ibn Labban and al-Nasawi . It also studies the existence of real positive roots, both geometric, close to the study of Omar Khayyam , and purely algebraic.
In the “Answer to the question of the emir of the emirs Shams al-Din”, the problem is solved of dividing the square into four parts, the inner of which is a parallelogram, and the rest are trapeziums, and their areas have these relationships.
In the Treatise on Two Lines that Approach, but Do Not Meet, the properties of an equilateral hyperbola with respect to its asymptotes are investigated.
Sharaf al-Din at-Tusi also wrote A Treatise on Astrolabe, A Treatise on Linear Astrolabe, A Treatise on Sky Traces.
Literature
- Matvievskaya G.P., Rosenfeld B.A. Mathematicians and astronomers of the Muslim Middle Ages and their works (VIII-XVII centuries). In 3 vols. M .: Nauka, 1983.
- Tagi-Zade A.K., Vakhabov S.A. Astrolabes of the medieval East . Historical and Astronomical Research , 12, 1975, p. 169-225.
- Hogendijk JP Sharaf al-Din al-Tusi on the number of positive roots of cubic equations. Historia Mathematica , 16, 1989, p. 69-85.
- Rashed R. Resolution des equations numeriques et l'algebre, Sharaf-Al-din al-Tusi, Viete. Archive for History of Exact Sciences , 12, 1972, p. 244-290.
- Goretti M., The linear astrolabe of al-Tusi.