10601 幾何一

  • 幾何一
  • 第3講 The Local Theory of Curves Parametrized by Arc Length (cont.)

第3講 The Local Theory of Curves Parametrized by Arc Length (cont.)

課程影音

L3_A
       1. Definition: Torsion of a Curve Parametrized by Arc Length
       2. Derivation: Frenet Formula
 
L3_B
       1. Definition: Normal Plane and Rectifying Plane
       2. Example: Helix
 
L3_C
       1. Theorem: A Curve with Positive Curvature Is a Plane Curve
           if and only if Its Torsion Is Identically Zero