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Motion And Genetic Definitions In The Sixteenthcentury Euclidean Tradition Angela Axworthy

Name: Motion And Genetic Definitions In The Sixteenthcentury Euclidean Tradition Angela Axworthy
SKU: BELL-46099454
Price: 31.00 USD
Availability: InStock
Rating: 4.7 (36 reviews)

SKU: BELL-46099454

$ 31.00 ~~$ 45.00~~ (-31%)

4.7

36 reviews

Motion And Genetic Definitions In The Sixteenthcentury Euclidean Tradition Angela Axworthy instant download after payment.

Publisher: Birkhäuser

File Extension: PDF

File size: 4.51 MB

Pages: 305

Author: Angela Axworthy

ISBN: 9783030958169, 3030958167

Language: English

Year: 2022

Product desciption

Motion And Genetic Definitions In The Sixteenthcentury Euclidean Tradition Angela Axworthy by Angela Axworthy 9783030958169, 3030958167 instant download after payment.

A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid’sElementshas been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid’sElements, from Oronce Fine (1494–1555) to Christoph Clavius (1538–1612), including Jacques Peletier (1517–1582), John Dee (1527–1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.