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Some remarks on Bürgi’s interpolations

Identifieur interne : 000022 ( Main/Exploration ); précédent : 000021; suivant : 000023

Some remarks on Bürgi’s interpolations

Auteurs : Denis Roegel [France]

Source :

RBID : Hal:hal-01316361

English descriptors

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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