## 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## Examples 3.1.5, 3.1.6, 3.1.8## Problem 3.1.20## 3.2: Curvature, Torsion, and the Frenet Frame## Page 80: Definition of Unit Tangent Vector## Page 80: 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 FunctionThe code for Examples 3.2.5 and 3.2.6 is built into the previous two demos.
## Problem 3.2.7: Torus Knot## Problem 3.2.12: Evolute of a Helix## 3.3: Osculating Plane and Osculating Sphere## Definition 3.3.1: Osculating Plane## Proposition 3.3.3: Osculating Sphere## Problem 3.3.10: Osculating Helix## 3.4: Natural Equations## Theorem 3.4.1: Fundamental Theorem of Space Curves |