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A Path in History, from Curvature to Convexity
Book Item (Buchkapitel, Lexikonartikel, jur. Kommentierung, Beiträge in Sammelbänden)
 
ID 4527142
Author(s) A’Campo-Neuen, Annette; Papadopoulos, Athanase
Author(s) at UniBasel A'Campo-Neuen, Annette
Year 2019
Title A Path in History, from Curvature to Convexity
Editor(s) Dani, S. G.; Papadopoulos, Athanase
Book title Geometry in History
Publisher Springer
Place of publication Cham
Pages 305-353
ISSN/ISBN 978-3-030-13608-6 ; 978-3-030-13609-3
Abstract We describe a path in the history of curvature, starting from Greek antiquity, in the works of Euclid, Apollonius, Archimedes and a few others, passing through the works of Huygens, Euler, and Monge and his students, and ending in the twentieth century at the works of Bonnesen, Fenchel, Busemann, Feller and Alexandrov. Our goal is not to review the whole history of curvature, but to show how the approaches to curves, surfaces and curvature evolved from the synthetic point of view of the Greeks to the methods of analytic geometry founded by Fermat, Descartes, Newton and Leibniz, and eventually, in the twentieth century, experienced a return to the synthetic methods of the Greeks.
edoc-URL https://edoc.unibas.ch/74929/
Full Text on edoc No
Digital Object Identifier DOI 10.1007/978-3-030-13609-3_7
 
   

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28/03/2024