開放式課程>>自然科學學群>>幾何一>>第27講 The Gauss Map in Local Coordinates (cont.)

第27講 The Gauss Map in Local Coordinates (cont.)

L27_A
       1. Review: Gauss Curvature of a Surface of Revolution 
       2. Derivation: Differential Equation of the Asymptotic Curves
 
L27_B
       1. Proposition: The Coordinate Curves Are Asymptotic Curves if and only
           if e=g=0
       2. Example: Asymptotic Curves
 
L27_C
       1. Example: Asymptotic Curves (cont.)
       2. Proposition: The Coordinate Curves Are Asymptotic Curves
           if and only if f=F=0

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