Examples of Curvatures of Surfaces - Differential Geometry Lecture 30
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This lecture works through curvature formulas for several surfaces, including spheres, ellipsoids, and a cubic surface, then discusses curvature for parametric surfaces. It builds on formulas introduced in the preceding lecture.
Syllabus
Introduction
Normal paraboloid
Hessian
A function
Generali conic formula
EX. Sphere through 0,0,0 and its equation
The Ellipsoid
The Ellipsoid cubic from Rational Trigonometry
Parametric surfaces
Taught by
Insights into Mathematics