Book contents
- Frontmatter
- Contents
- List of Illustrations
- List of Tables
- Preface
- 1 The Euclidean Plane
- 2 Parametrized Curves
- 3 Classes of Special Curves
- 4 Arc Length
- 5 Curvature
- 6 Existence and Uniqueness
- 7 Contact with Lines
- 8 Contact with Circles
- 9 Vertices
- 10 Envelopes
- 11 Orthotomics
- 12 Caustics by Reflexion
- 13 Planar Kinematics
- 14 Centrodes
- 15 Geometry of Trajectories
- Index
4 - Arc Length
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- List of Illustrations
- List of Tables
- Preface
- 1 The Euclidean Plane
- 2 Parametrized Curves
- 3 Classes of Special Curves
- 4 Arc Length
- 5 Curvature
- 6 Existence and Uniqueness
- 7 Contact with Lines
- 8 Contact with Circles
- 9 Vertices
- 10 Envelopes
- 11 Orthotomics
- 12 Caustics by Reflexion
- 13 Planar Kinematics
- 14 Centrodes
- 15 Geometry of Trajectories
- Index
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9781139173377/resource/name/firstPage-9781139173377c4_p50-61_CBO.jpg)
- Type
- Chapter
- Information
- Elementary Geometry of Differentiable CurvesAn Undergraduate Introduction, pp. 50 - 61Publisher: Cambridge University PressPrint publication year: 2001