## 10 Citations

### The mathematics behind Jost Bürgi's method for calculating sine tables

- Chemistry
- 2016

Jost Bürgi (1552–1632) is not only one of the first persons who set up tables of logarithms for practical use but also invented a method to calculate highly precise tables of the sine function with…

### Jost Bürgi’s methods of calculating sines, and possible transmission from India

- PhysicsArchive for History of Exact Sciences
- 2019

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…

### Reconstruction of the genesis of a Renaissance algorithm to calculate sine tables

- PhysicsPAMM
- 2019

Recently, a manuscript has been discovered in which Jost Bürgi (1552–1632) presented an algorithm to calculate sine tables of high precision with only a modest amount of numerical effort [1], [2].…

### Some remarks on Bürgi’s interpolations

- Mathematics
- 2016

Jost Burgi (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…

### How Bürgi computed the sines of all integer angles simultaneously in 1586

- Mathematics
- 2018

We present an algorithm discovered by Jost Bürgi around 1586, lost until 2013, and proven in 2015. Bürgi’s method needs only sums of integers and divisions by $$2$$2 to compute simultaneously and…

### A preliminary note on Bürgi's computation of the sine of the first minute

- Mathematics
- 2016

A recently rediscovered manuscript by Jost Burgi from around 1590 contains novel approaches to the computation of sines. In this note, we examine a specific point in Burgi's analysis of the sine of…

### The star catalogue of Wilhelm IV, Landgraf von Hessen-Kassel

- PhysicsAstronomy & Astrophysics
- 2021

We analyse a manuscript star catalogue by Wilhem IV, Landgraf von Hessen-Kassel from 1586. From measurements of altitudes and of angles between stars, given in the catalogue, we find that the…

### Jost Bürgi's skillful computation of sines

- Physics
- 2015

This brief note suggests an explanation for Burgi's simple method for the computation of sines to any accuracy, devised in the 1580s.

### A reconstruction of Bürgi’s sine table at 1' intervals (ca. 1587)

- History
- 2016

This document gives a reconstruction of Burgi’s sine table at 1' intervals. This table is found in a manuscript recently rediscovered by Menso Folkerts. This reconstruction helps assess the accuracy…

### A note on the complexity of Bürgi's algorithm for the computation of sines

- Mathematics
- 2016

This note studies the accuracy and complexity of Burgi's novel algorithm for the computation of sines.

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- PhysicsOsiris
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The aim of this paper is to give a description of the collection of mediaeval astronomical tables known as the 'Tabule Toletane' which shall suffice for their identification and also reveal their…

### Richard of Wallingford : an edition of his writings

- Art
- 1976

Richard of Wallingford Vol 2 An edition of his writings with Introduction, English Translation, and Commentary

### The Mathematics Of The Heavens And The Earth: The Early History Of Trigonometry

- Philosophy, Mathematics
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### Bürgis Kunstweg im Fundamentum Astronomiae. Entschlüsselung eines Rätsels

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### Eine bisher unbekannte Schrift von Jost Bürgi zur Trigonometrie

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### Johannes , Christoph und Bartholomaeus Rothmann . Einige biographische Ergänzungen zu den Gebrüdern Rothmann

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