An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani]
In this paper, we study Ghiyath al-Din Jamshid al-Kashi's (1380-1429 A.D.) main mathematical achievements. We discuss his al-Risala al-muhitiyya ("The Treatise on the Circumference"), Risala al-watar wa'l-jaib ("The Treatise on the Chord and Sine"), and Miftah al-hisab...
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| Format: | Article |
| Language: | English |
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University of Kashan
2019-06-01
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| Series: | Mathematics Interdisciplinary Research |
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| Online Access: | https://mir.kashanu.ac.ir/article_88765_f17cdd08b35b70ad827078a7c1a8262a.pdf |
| _version_ | 1797630830462369792 |
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| author | Mohammad K. Azarian |
| author_facet | Mohammad K. Azarian |
| author_sort | Mohammad K. Azarian |
| collection | DOAJ |
| description | In this paper, we study Ghiyath al-Din Jamshid al-Kashi's (1380-1429 A.D.) main mathematical achievements. We discuss his al-Risala al-muhitiyya ("The Treatise on the Circumference"), Risala al-watar wa'l-jaib ("The Treatise on the Chord and Sine"), and Miftah al-hisab ("The Key of Arithmetic"). In particular, we look at al-Kashi's fundamental theorem, his calculation of pi, and his calculation of sin1°. |
| first_indexed | 2024-03-11T11:13:24Z |
| format | Article |
| id | doaj.art-58a493c9b20e44a996ac84c259c2dcdf |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:24Z |
| publishDate | 2019-06-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-58a493c9b20e44a996ac84c259c2dcdf2023-11-11T08:11:38ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652019-06-0141111910.22052/mir.2019.167225.111088765An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani]Mohammad K. Azarian0University of Evansville, 1800 Lincoln Avenue, Evansville, IN 47722 USAIn this paper, we study Ghiyath al-Din Jamshid al-Kashi's (1380-1429 A.D.) main mathematical achievements. We discuss his al-Risala al-muhitiyya ("The Treatise on the Circumference"), Risala al-watar wa'l-jaib ("The Treatise on the Chord and Sine"), and Miftah al-hisab ("The Key of Arithmetic"). In particular, we look at al-Kashi's fundamental theorem, his calculation of pi, and his calculation of sin1°.https://mir.kashanu.ac.ir/article_88765_f17cdd08b35b70ad827078a7c1a8262a.pdfghiyath al-dın jamshıd al-kashıjamshıd kashanıal-risala al-muhıtıyyamiftah al-hisabrisala al-watar wa’l-jaibal-kashı’s fundamental theoremeuclid’s elementslambert identityptolemy’s theorempythagorean theorempascal triangleruffini-horner’s method |
| spellingShingle | Mohammad K. Azarian An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] Mathematics Interdisciplinary Research ghiyath al-dın jamshıd al-kashı jamshıd kashanı al-risala al-muhıtıyya miftah al-hisab risala al-watar wa’l-jaib al-kashı’s fundamental theorem euclid’s elements lambert identity ptolemy’s theorem pythagorean theorem pascal triangle ruffini-horner’s method |
| title | An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] |
| title_full | An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] |
| title_fullStr | An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] |
| title_full_unstemmed | An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] |
| title_short | An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashi [Kashani] |
| title_sort | overview of mathematical contributions of ghiyath al din jamshid al kashi kashani |
| topic | ghiyath al-dın jamshıd al-kashı jamshıd kashanı al-risala al-muhıtıyya miftah al-hisab risala al-watar wa’l-jaib al-kashı’s fundamental theorem euclid’s elements lambert identity ptolemy’s theorem pythagorean theorem pascal triangle ruffini-horner’s method |
| url | https://mir.kashanu.ac.ir/article_88765_f17cdd08b35b70ad827078a7c1a8262a.pdf |
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