EAN: 9783031115370

SPRINGERBRIEFS IN HISTORY OF SCIENCE AND TECHNO...

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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