Two proofs from Āzarkhor Ashtāz Goshnasp
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...
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University of Isfahan
2025-02-01
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| Series: | ریاضی و جامعه |
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| Online Access: | https://math-sci.ui.ac.ir/article_28629_2b9bb0f7e92c9448c5734b947e0ade00.pdf |
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| author | Reza Kahkeshani |
| author_facet | Reza Kahkeshani |
| author_sort | Reza Kahkeshani |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bf7cf806dc1b42eab81136c379ac5ad9 |
| institution | Kabale University |
| issn | 2345-6493 2345-6507 |
| language | fas |
| publishDate | 2025-02-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | ریاضی و جامعه |
| spelling | doaj-art-bf7cf806dc1b42eab81136c379ac5ad92025-08-20T03:48:13ZfasUniversity of Isfahanریاضی و جامعه2345-64932345-65072025-02-01101677710.22108/msci.2024.139764.162228629Two proofs from Āzarkhor Ashtāz GoshnaspReza Kahkeshani0Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranOne 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.https://math-sci.ui.ac.ir/article_28629_2b9bb0f7e92c9448c5734b947e0ade00.pdfāzarkhor ashtāz goshnaspabū rayhān al-bīrūnīal-estekhrāj al-awtārislamic agegeometry |
| spellingShingle | Reza Kahkeshani Two proofs from Āzarkhor Ashtāz Goshnasp ریاضی و جامعه āzarkhor ashtāz goshnasp abū rayhān al-bīrūnī al-estekhrāj al-awtār islamic age geometry |
| title | Two proofs from Āzarkhor Ashtāz Goshnasp |
| title_full | Two proofs from Āzarkhor Ashtāz Goshnasp |
| title_fullStr | Two proofs from Āzarkhor Ashtāz Goshnasp |
| title_full_unstemmed | Two proofs from Āzarkhor Ashtāz Goshnasp |
| title_short | Two proofs from Āzarkhor Ashtāz Goshnasp |
| title_sort | two proofs from azarkhor ashtaz goshnasp |
| topic | āzarkhor ashtāz goshnasp abū rayhān al-bīrūnī al-estekhrāj al-awtār islamic age geometry |
| url | https://math-sci.ui.ac.ir/article_28629_2b9bb0f7e92c9448c5734b947e0ade00.pdf |
| work_keys_str_mv | AT rezakahkeshani twoproofsfromazarkhorashtazgoshnasp |