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Meusnier, Monge and Dupin - Differential Geometry - Lecture 1

Meusnier, Monge and Dupin - Differential Geometry - Lecture 1

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An Ellipsoid with unequal axes

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An Ellipsoid with unequal axes

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Meusnier, Monge and Dupin - Differential Geometry - Lecture 1

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  1. 1 Introduction
  2. 2 J.B Meusnier 1754-1793
  3. 3 Euler - normal curvatures had a maximum value in two per .Directions
  4. 4 Asymptotic directions
  5. 5 Center of curvature
  6. 6 One of principal curvatures
  7. 7 Umbilic point
  8. 8 An Ellipsoid with unequal axes
  9. 9 Proof- Assumption
  10. 10 Recall: Parabola

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