Differential Geometry

Curves edit

Chapter 1.1 Basic Concepts
Chapter 1.2 Arc Length
Chapter 1.3 Tangent Line, Unit Tangent Vector, and Normal Plane
Chapter 1.4 Osculating Plane
Chapter 1.5 Normal Line and Principal Unit Normal Vector
Chapter 1.6 Curvature and Osculating Circle
Chapter 1.7 Binormal Vector, Binormal Line, and Rectifying Plane
Chapter 1.8 Torsion
Chapter 1.9 Frenet-Serret Formulae
Chapter 1.10 Vector of Darboux
Chapter 1.11 Unit Spherical Indicatrices
Chapter 1.12 Approximate Curves
Chapter 1.13 Contact and Osculating Sphere

Surfaces edit

First Fundamental Form edit

Tensors edit

Second Fundamental Form edit

Geodesics edit

Mappings edit

Absolute Differentiation, Displacement edit

Special Surfaces edit

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