VISUAL DIFFERENTIAL GEOMETRY and FORMS
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VISUAL DIFFERENTIAL GEOMETRY and FORMS
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Chapter 8 Curvature of Plane Curves
8.1 Introduction
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VISUAL DIFFERENTIAL GEOMETRY and FORMS a mathematical drama in five acts
The Book
Prologue
Acknowledgements
Act I The Nature of Space
Chapter 1 Euclidean and non-Euclidean Geometry
Chapter 2 Gaussian Curvature
Chapter 3 Exercises for Prologue and Act I
Act II The Metric
Chapter 4 Mapping Surfaces: The Metric
Chapter 5 The Pseudosphere and the Hyperbolic Plane
Chapter 6 Isometries and Complex Numbers
Act III Curvature
Chapter 8 Curvature of Plane Curves
8.1 Introduction
8.2 The Circle of Curvature
8.3 Newton's Curvature Formula
8.4 Curvature as Rate of Turning
8.5 Example: Newton's Tractrix
Act IV
Act V
8.1 Introduction
8.2 The Circle of Curvature
8.3 Newton's Curvature Formula
8.4 Curvature as Rate of Turning
8.5 Example: Newton's Tractrix
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