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Differential Geometry: Meusnier, Monge, and Dupin's Work on Surfaces - Lecture 33

Differential Geometry: Meusnier, Monge, and Dupin's Work on Surfaces - Lecture 33

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Lines of curvature of an Ellipsoid

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Lines of curvature of an Ellipsoid

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Differential Geometry: Meusnier, Monge, and Dupin's Work on Surfaces - Lecture 33

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  1. 1 Introduction
  2. 2 Overview
  3. 3 Lines of curvature of an Ellipsoid
  4. 4 Consider quadrics of the form_
  5. 5 Tangent plane at P
  6. 6 Theorem of a confocal system
  7. 7 Dupin theory
  8. 8 Why Dupin used the indicatrix as a visual indicator
  9. 9 Conjugate directions Back to Apollonius
  10. 10 Prob- For a special case

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