Article ID: CBB001421116

Al-Samaw'al's Curious Approach to Trigonometry (2012)

unapi

Al-Samaw'al's work Exposure of the Errors of the Astronomers contains a single numerical table, a highly unusual table of sines. In order to avoid the problem of approximating sin(1 degree), al-Samaw'al redefines the number of degrees in a circle from 360 to 480. In the accompanying chapter, al-Samaw'al criticizes his predecessors for deviating from geometrical precision and explains how his table is to be calculated. However, our analysis demonstrates that al-Samaw'al did not follow his own instructions, simply interpolating his entries from a traditional sine table.

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Authors & Contributors
Rashed, Roshdi
Moussa, Ali
Brummelen, Glen Van
Berggren, John Lennart
Hejri, Sajjad
Welsh, Whitney Elizabeth
Journals
Arabic Sciences and Philosophy
Suhayl: Journal for the History of the Exact and Natural Sciences in Islamic Civilisation
Tarikh-e Elm (The Iranian Journal for the History of Science)
Ta-lu ts'a-chih
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
Iranian Studies
Publishers
Springer-Verlag
Sage Publications
Princeton University Press
Fassbaender
Al-Furqan Islamic Heritage Foundation
Duke University
Concepts
Mathematics
Arab/Islamic world, civilization and culture
Geometry
Trigonometry
Astronomy
Philosophy
People
Ibn al-Haytham, Abū ʿAlī al-Ḥasan
Euclid
al-Samaw'al, Abū Naṣr ibn Yaḥyā, al-Maghribī
Abū al-Wafā' al-Būzajānī
Sa'id ibn Ahmad, al-Andalusi
Johannes von Gmunden
Time Periods
Medieval
10th century
11th century
Ancient
12th century
Ming dynasty (China, 1368-1644)
Places
Greece
Egypt
China
Persia (Iran)
India
Babylon (extinct city)
Institutions
Kerala School of Astronomy and Mathematics (India)
Universität Wien
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