Book contents
- Frontmatter
- Contents
- Editor's Statement
- Foreword
- Preface
- Integral Geometry and Geometric Probability
- Part I INTEGRAL GEOMETRY IN THE PLANE
- Chapter 1 Convex Sets in the Plane
- Chapter 2 Sets of Points and Poisson Processes in the Plane
- Chapter 3 Sets of Lines in the Plane
- Chapter 4 Pairs of Points and Pairs of Lines
- Chapter 5 Sets of Strips in the Plane
- Chapter 6 The Group of Motions in the Plane: Kinematic Density
- Chapter 7 Fundamental Formulas of Poincaré and Blaschke
- Chapter 8 Lattices of Figures
- Part II GENERAL INTEGRAL GEOMETRY
- Part III INTEGRAL GEOMETRY IN En
- Part IV INTEGRAL GEOMETRY IN SPACES OF CONSTANT CURVATURE
- Appendix Differential Forms and Exterior Calculus
- Bibliography and References
- Author Index
- Subject Index
Chapter 6 - The Group of Motions in the Plane: Kinematic Density
Published online by Cambridge University Press: 28 January 2010
- Frontmatter
- Contents
- Editor's Statement
- Foreword
- Preface
- Integral Geometry and Geometric Probability
- Part I INTEGRAL GEOMETRY IN THE PLANE
- Chapter 1 Convex Sets in the Plane
- Chapter 2 Sets of Points and Poisson Processes in the Plane
- Chapter 3 Sets of Lines in the Plane
- Chapter 4 Pairs of Points and Pairs of Lines
- Chapter 5 Sets of Strips in the Plane
- Chapter 6 The Group of Motions in the Plane: Kinematic Density
- Chapter 7 Fundamental Formulas of Poincaré and Blaschke
- Chapter 8 Lattices of Figures
- Part II GENERAL INTEGRAL GEOMETRY
- Part III INTEGRAL GEOMETRY IN En
- Part IV INTEGRAL GEOMETRY IN SPACES OF CONSTANT CURVATURE
- Appendix Differential Forms and Exterior Calculus
- Bibliography and References
- Author Index
- Subject Index
Summary
- Type
- Chapter
- Information
- Integral Geometry and Geometric Probability , pp. 80 - 108Publisher: Cambridge University PressPrint publication year: 2004