## 3.1: Definitions, Examples, and Differentiation## Example 3.1.2: Lines## Example 3.1.3: Planar Curves## Example 3.1.4: Twisted Cubic## Example 3.1.7: Curves on Hyperboloid of One Sheet## Further Examples## 3.2: Curvature, Torsion, and the Frenet Frame## Page 68: Definition of Unit Tangent Vector## Page 69: Definition of Principal Normal Vector## Definition 3.2.2: Frenet Frame and Definition of Binormal Vector## Definition 3.2.3: Space Curvature and Plane Curvature## Definition 3.2.4: Torsion Function## 3.3: Osculating Plane and Osculating Sphere## Definition 3.3.1: Osculating Plane## Proposition 3.3.3: Osculating Sphere## 3.4: Natural Equations## Theorem 3.4.1: Fundamental Theorem of Space Curves |