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6. Differential Geometry of Intersection Curves

6.1 Introduction
6.2 More differential geometry of curves
6.3 Transversal intersection curve
- 6.3.1 Tangential direction
- 6.3.2 Curvature and curvature vector
- 6.3.3 Torsion and third order derivative vector
- 6.3.4 Higher order derivative vector
6.4 Intersection curve at tangential intersection points
- 6.4.1 Tangential direction
- 6.4.2 Curvature and curvature vector
- 6.4.3 Third and higher order derivative vector
  - 6.4.3.1 Parametric-parametric
  - 6.4.3.2 Implicit-implicit
  - 6.4.3.3 Parametric-implicit
6.5 Examples
- 6.5.1 Transversal intersection of parametric-implicit surfaces
- 6.5.2 Tangential intersection of implicit-implicit surfaces

December 2009