## 8.1: Natural Frames## Page 275: The Darboux Frame## Page 278: Geodesic Curvature and Page 282: Geodesic Torsion## Problem 8.1.1: Curves on a Sphere## Problem 8.1.2: Cylinder Intersecting a Plane## Problem 8.1.4: Curves on a Torus## Problem 8.1.5: Curvature of Level Curves## Problem 8.1.9: Tube of a Curve on a Surface## 8.2: Gauss-Bonnet Theorem, Local Form## Example 8.2.1: The Moldy Potato Chip## Example 8.2.6: The Moldy Patch## Page 297: Triangulations and Euler Characteristic## 8.4: Geodesics## Example 8.4.7: Cylinder## 8.6: Applications to Plane, Spherical, and Elliptical Geometry## p.337: Sum of Angles of a Triangle on a Sphere## 8.7: Hyperbolic Geometry## Subsection 8.7.2: Poincaré Half-Plane## p.346: Sum of Angles of a Triangle (in the Poincaré Half-Plane)## Subsection 8.7.3: Poincaré Disk## Problem 8.7.8: Poincaré Half-Plane and the Pseudosphere |