Book ID: CBB193067062

British Versions of Book II of Euclid’s Elements: Geometry, Arithmetic, Algebra (1550–1750) (2022)


Corry, Leo (Author)

Springer Nature

Publication Date: 2022
Physical Details: 79
Language: English

This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.

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Authors & Contributors
Hill, Katherine
Stedall, Jacqueline Anne
Kaplan, Abram
Wardhaugh, Benjamin
Stone, Richard
Seltman, Muriel
Notes and Records: The Royal Society Journal of the History of Science
British Society for the History of Mathematics Bulletin
Annals of Science: The History of Science and Technology
Studies in History and Philosophy of Science
Historia Mathematica
Springer Nature
P. Lang
Oxford University Press
Columbia University
Wallis, John
Barrow, Isaac
Harriot, Thomas
Oughtred, William
Newton, Isaac
Time Periods
17th century
16th century
18th century
19th century
British Isles
Great Britain

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