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