Article ID: CBB425734664

Jost Bürgi’s Methods of Calculating Sines, and Possible Transmission from India (2019)

unapi

A few years ago, a manuscript by Jost Bürgi (1552–1632) was brought to scholarly attention, which included an ingenious sine calculation method. The purpose of this paper is to discuss two aspects of this manuscript. First, we wish to improve the current understanding of Bürgi’s method of sine calculation, especially with respect to the calculation of sines at a resolution of 1 min. Second, we wish to suggest a possible transfer of knowledge between India’s Kerala School of mathematical astronomy and Bürgi. The evidence for the latter seems to be stronger than the evidence for other available case studies, but still revolves mainly around analogies, and can therefore not be considered as conclusive proof of transmission. We also append a translation of the relevant chapter of Bürgi’s treatise.

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Authors & Contributors
Jami, Catherine
Dong, Jie
Andreas Thom
Dhammaloka, Jambugahapitiye
Zhang, Wei
Wagner, Roy
Journals
Historia Scientiarum: International Journal of the History of Science Society of Japan
Historia Mathematica
History of Science in South Asia
Studies in History and Philosophy of Science
Sciamvs: Sources and Commentaries in Exact Sciences
Nuncius: Annali di Storia della Scienza
Publishers
World Scientific
Oxford University Press
Librairie Philosophique J. Vrin
Johns Hopkins University Press
Istanbul University
European Mathematical Society
Concepts
Mathematics
Transmission of ideas
Trigonometry
Cross-cultural interaction; cultural influence
East Asia, civilization and culture
Astronomy
People
Newton, Isaac
Bürgi, Jost
Urquhart, Thomas
Pico della Mirandola, Giovanni
Xu, Guangqi
Varen, Bernhard
Time Periods
17th century
18th century
16th century
Qing dynasty (China, 1644-1912)
19th century
Renaissance
Places
China
England
Kerala (India)
East Asia
Scotland
Turkey
Institutions
Jesuits (Society of Jesus)
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