TY - BOOK

T1 - British versions of Book II of Euclid's Elements

T2 - Geometry, arithmetic, algebra (1550-1750)

AU - Corry, Leo

N1 - Electronic access only
Electronic reproduction. Ann Arbor, Michigan : Proquest Ebook Central, 2023

PY - 2022

Y1 - 2022

N2 - 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 Francois Viete 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 Billingsleys first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrows 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.

AB - 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 Francois Viete 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 Billingsleys first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrows 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.

KW - Renaissance mathematics

KW - British mathematics

KW - Euclidean tradition

KW - Euclid's Elements

KW - Euclid's Book II

KW - Early algebraic symbolism

KW - François Viète

KW - Robert Recorde

KW - Henry Billingsley

KW - Thomas Rudd

KW - William Oughtred

KW - Thomas Harriot

KW - John Wallis

KW - Isaac Barrow

U2 - 10.1007/978-3-031-11538-7

DO - 10.1007/978-3-031-11538-7

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SN - 3031115376

SN - 9783031115370

T3 - SpringerBriefs in History of Science and Technology

BT - British versions of Book II of Euclid's Elements

PB - Springer

CY - Cham, Switzerland

ER -