AbstractA 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.

中文翻译：

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Jost Bürgi 计算正弦值的方法，以及可能来自印度的传播

摘要 几年前，Jost Bürgi (1552–1632) 的手稿引起了学术界的注意，其中包括一种巧妙的正弦计算方法。本文的目的是讨论这份手稿的两个方面。首先，我们希望提高目前对 Bürgi 正弦计算方法的理解，尤其是在分辨率为 1 分钟的正弦计算方面。其次，我们希望建议在印度喀拉拉邦数学天文学学院和 Bürgi 之间进行可能的知识转移。后者的证据似乎比其他可用案例研究的证据更有力，但仍主要围绕类比展开，因此不能被视为传播的确凿证据。我们还附上​​了 Bürgi 论文相关章节的翻译。