Gauss, Normals and Fundamental Forms in Differential Geometry - Lecture 34

Introduction
C.F.Gauss1777-1855
1st fundamental formI.e quadratic form
Gauss introduced the idea of a surface S parametrically
Gauss- Rosrigues map
Gauss realised that the Gaussian curvature can be obtained by
Ex.1 Sphere radius
Ex.2
Ex.3
Interesting questions- differentiating points on a surface S into
Parabolic points
Theorema Egregiurn 1827