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Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Oronce Fine (1494-1555)'s table of sines published in 1530.

Denis Roegel
(2021)

Reports

This document is a survey of the main European fundamental trigonometric tables printed in the 15th and 16th centuries. After a review of the work done before the 15th century in Greece, India and the Arab world, the starting points in Europe are examined. The seminal work of Regiomontanus is carefu...

Denis Roegel
(2021)

Reports

This document gives modern reconstructions of Thomas Fincke (1561-1656)'s trigonometric tables published in 1583. These tables are based on those of Reinhold and the secants were computed by Fincke.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Johannes Engel (1453-1512)'s table of sines, first published in 1490, but here based on the 1504 edition. Engel's table is itself based on Regiomontanus (1436-1476) table of sines.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Rheticus (1514-1574)'s sine table published in 1542 as part of Copernicus's ``De lateribus et angulis triangulorum.''

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Georg von Peuerbach (1423-1461)'s table of arctangents published in 1516.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Oronce Fine (1494-1555)'s table of sines published in 1550.

Denis Roegel
(2021)

Reports

This document gives modern reconstructions of Philip van Lansberge (1561-1632)'s trigonometric tables published in 1591. These tables are based on those of Fincke published in 1583.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Francesco Maurolico (1494-1575)'s tables of sines, tangents and secants published in 1558 and based on Regiomontanus's work.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Regiomontanus (1436-1476)'s table of tangents first published in 1490.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Peter Apian (1495-1552)'s table of sines published in 1533.

Denis Roegel
(2021)

Reports

This document gives a modern reconstruction of Erasmus Reinhold (1511-1553)'s tables of sines and tangents published in 1554 and based on Regiomontanus's work.

Denis Roegel
(2021)

Reports

This document gives modern reconstructions of the Regiomontanus (1436-1476)'s two large sine tables published in 1541.

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s first table of mean anomalies. This table gives the mean anomalies for values of cos(eccentricity) ranging from cos(0) to cos(99), and for the eccentric anomaly ranging from 0 to 200 centesimal degrees. Such a table is useful in solvi...

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s canon of sines at intervals of 25 centesimal minutes and to 30 decimal places. This is the first part of Sang's volume K40.

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s table of logarithms of sines and tangents for every centesimal minute and to 15 decimal places. This is Sang's volume K43.

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s canon of sines at intervals of one centesimal minute and to 15 decimal places. This is Sang's volumes K41 and K42, here gathered in one volume.

A reconstruction of Edward Sang's auxiliary table for logarithms of almost unitary values (K39,1884)

Reports

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s table of logarithms of values very close to 1. This is Sang's volume K39. Such a table can be used as an auxiliary table to compute other logarithms than those in Sang's 15-place table.

Denis Roegel
(2020)

Reports

This document describes the reconstruction of the unpublished table of logarithms to 15 places computed by Edward Sang (1805-1890), extended to one million. Sang's table covered the range from 100000 to 370000, split in 27 volumes held at Edinburgh. The reconstruction covers the range from 100000 to...

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s second table of mean anomalies. It is an abridgement of the table given in Sang's volume K46. The present table also gives the mean anomalies for values of cos(eccentricity) ranging from cos(0) to cos(99), and for the eccentric anomal...

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s table of sines scaled by 200/pi. This is Sang's volume K44, and it was used in the construction of his table of circular segments (table K45).

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s table of circular segments, which are portions of a disk bounded by an arc and a chord. This is Sang's volume K45.

Denis Roegel
(2020)

Reports

This document gives a reconstruction of Edward Sang (1805-1890)'s table of the logarithms of the second myriad of integers. This is Sang's volume K6.

Denis Roegel
(2020)

Reports

This document describes how Edward Sang (1805-1890) derived the logarithms of the primes up to 10000. These logarithms were then used to compute the logarithms of the integers from 100000 to 370000. The computation steps cover the three original volumes K1 to K3.

Denis Roegel
(2020)

Reports

This document is a guide through the reconstructions of the mathematical tables of Edward Sang (1805-1890). Edward Sang computed large tables of logarithms, as well as tables of sines, and various other tables, of which the main have been reconstructed in various volumes summarized here.

Guy BOISTEL
(Feb 8, 2021)

Others

Ce focus a été publié en ligne, dans le cadre du projet ANR BDL (1795-1932), à l'adresse suivante : [http://bdl.ahp-numerique.fr/focus-acteurs-gb-lemery]

Jeanne Matiedje Tawa
(Oct 4, 2019)

Thesis

This study deals with the use of first-order logic and linear temporal logic for specificationand verification of dynamics system with rich structural properties. It also concerns the studyof the operating safety of the distributed lookup protocol Chord. The aim is on the one hand toimprove the spec...

Ekaterina Lebedeva
(Apr 6, 2012)

Thesis

This thesis develops a theoretical formalism that takes into account semantical discourse dynamics. It focuses on the extension of Montague semantic with the notion of continuation and an exception handling and raising mechanism. The formalism allows to handle dynamic phenomena such as cross-sentent...

Neeraj Kumar Singh
(Nov 15, 2011)

Thesis

Software systems are pervasive in all walks of our life and have become an essential part of our daily life. Information technology is one major area, which provides powerful and adaptable opportunities for innovation, and it seems boundless. However, systems developed using computer-based logic hav...