How Bürgi computed the sines of all integer angles simultaneously in 1586 (Q726111)

Jost Bürgi's \textit{artificium} was discovered only recently by Menso Folkerts and described in a series of papers, e.g. [\textit{J. Waldvogel}, Elem. Math. 71, No. 3, 89--99 (2016; Zbl 1378.01005)]. The author of the article under review summarises the events of the discovery and gives an overview of Bürgi's work to efficiently compute a sine table. He then goes on to give a modern derivation in terms of the discrete Fourier transform. Although this is definitely not the method applied by Bürgi himself it is interesting to see how other means lead to the same end.