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A Differential Approach to GeometryThe Genesis of Differential Methods

A Differential Approach to Geometry: The Genesis of Differential Methods [The study of arbitrary curves—not just conics—becomes possible during the 17th century, first via the consideration of polynomial equations. The development of differential calculus allows next the study of very general curves. We describe the first historical attempts for handling questions like the tangent to a curve, its length or its curvature. We pay a special attention to some curves, like the cycloid, which have played an important role in the development of these notions.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Differential Approach to GeometryThe Genesis of Differential Methods

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References (2)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2014
ISBN
978-3-319-01735-8
Pages
1 –53
DOI
10.1007/978-3-319-01736-5_1
Publisher site
See Chapter on Publisher Site

Abstract

[The study of arbitrary curves—not just conics—becomes possible during the 17th century, first via the consideration of polynomial equations. The development of differential calculus allows next the study of very general curves. We describe the first historical attempts for handling questions like the tangent to a curve, its length or its curvature. We pay a special attention to some curves, like the cycloid, which have played an important role in the development of these notions.]

Published: Aug 26, 2013

Keywords: Parametric Equation; Multiple Point; Parametric Representation; Differential Calculus; Normal Plane

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