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第22講 The Gauss Map and Its Fundamental Properties (cont.)
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L22_B
L22_A
1. Proposition: A Connected Surface with Every Point
Being Umbilical Point Is a Piece of Plane or Sphere (cont.)
L22_B
1. Proposition: A Connected Surface with Every Point
Being Umbilical Point Is a Piece of Plane or Sphere (cont.)
2. Definition: Asymptotic Direction and Asymptotic Curve
3. Example: Straight Line
L22_C
1. Example: Straight Line (cont.) and Curve with Positive Curvature
2. Observation: There Is NO Asymptotic Direction at an Elliptic Point
3. Definition: Dupin Indicatrix
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