"The Artificium and the whole autograph were decrypted and edited by Dieter Launert... The first proof of convergence was given by Andreas Thom using the . Another proof with matrices by Jörg Waldvogel is more elementary and determines the rate of convergence. In this paper we present a new proof of convergence that encompasses a whole family of related methods..."
— Jost Bürgi

January 1, 1970

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InventorsMathematicians from Switzerland
Original Language: English

Sources

Ref: M. Folkerts, D. Launert, and A. Thom: "Jost Bürgi’s Method for Calculating Sines" Hist. Math (2016) 43(2) pp. 133–147. Ref: D. Launert: Nova Kepleriana: Bürgis Kunstweg im Fundamentum Astronomiæ, Entschlüsselung seines Rätsels (2015) Verlag der Bayerischen Akademie der Wissenschaften, Munich. Ref: J. Waldvogel, "Jost Bürgi’s Artificium of 1586 in Modern View, an Ingenious Algorithm for Calculating Tables of the Sine Function" Elem. Math. (2016) 71 pp. 89–99.