Two proofs from Āzarkhor Ashtāz Goshnasp

Document Type : Promotional Paper

Author

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

Abstract

One of the Iranian scientists of the fourth and fifth centuries AH is Āzarkhor Asht\={a}z Goshnasp. His name is only mentioned in the works of the prominent Iranian scientist, Ab\={u} Rayh\={a}n al-B\={i}r\={u}n\={i}. In this paper, we will explain \={A}zarkhor's two proofs on the first theorem of the book ``al-Estekhr\={a}j al-Awt\={a}r" that given by Ab\={u} Rayh\={a}n. This theorem is called ``Theorem of the broken chord" and these two proofs are the only mathematical legacy left by \={A}zarkhor.

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References

[1] F. Justi, Iranisches Namenbuch, N. G. Elwert’Sche Verlagsbuchhandlung, Marburg, 1895.
[2] A. R. al-Biruni, al- Athar al-Baqiyah, Translated by A. Danaseresht, Amir Kabir Publishers, Tehran, 2010. [In Persian]
[3] A. Qorbani, Tahrir al-Estekhraj al-Awtar, Andjoman Asar Melli Publishers, Tehran, 1976. [In Persian]
[4] A. Qorbani, A Research in the Mathematical Works of Abu Rayhan al-Biruni (A new edition of Biruni Nameh), Markaz Nashr Daneshgahi, Tehran, 1995. [In Persian]
[5] A. Qorbani, Biographies of Mathematicians of the Islamic Age, 2nd printing, Markaz Nashr Daneshgahi, Tehran, 1996. [In Persian]
[6] Y. Keramati, The Great Islamic Encyclopedia, The Center for the Great Islamic Encyclopedia, Tehran, 2021. [In Persian]

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History

  • Receive Date: 13 November 2023
  • Revise Date: 06 August 2024
  • Accept Date: 06 August 2024
  • Publish Date: 13 February 2025

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