DOI:10.1007/s00591-017-0209-0
eng
Nicollier, Grégoire
How Bürgi computed the sines of all integer angles simultaneously in 1586
Ingénierie
http://hesso.tind.io/record/2473/files/Nicollier_2018_Buergi.pdf
We present an algorithm discovered by Jost Bürgi around 1586, lost until 2013, and proven in 2015. Bürgi’s method needs only sums of integers and divisions by 2 to compute simultaneously and with any desired accuracy the sines of the nth parts of the right angle. We explain why it works with a new proof using polygons and discrete Fourier transforms.
2018-07-10T12:27:10Z
http://hesso.tind.io/record/2473
http://hesso.tind.io/record/2473