Some remarks on Bürgi’s interpolations

Denis Roegel 1
1 MOSEL - Proof-oriented development of computer-based systems
LORIA - FM - Department of Formal Methods
Abstract : Jost Bürgi (1552-1632) was one of the first ones to have used the calculus of differences in order to construct a table of sines. His table of sines at 2'' intervals is lost, but in these notes, we first examine empirically (as Bürgi could have done) the influence of the number of places on the accuracy of the interpolations, and we provide two tentative interpolations for the hypothetical 2'' table.
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Submitted on : Monday, May 16, 2016 - 6:51:07 PM
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Denis Roegel. Some remarks on Bürgi’s interpolations. 2016. ⟨hal-01316361⟩

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