Geometry

   

A Note On The Second Radius of Curvature of the Ellipsoid

Authors: Abdelmajid Ben Hadj Salem

In this note, we study the intersection of the ellipsoid of revolution with a plane orthogonal to the tangent plane at a point on the ellipsoid to show that the second radius of curvature of the ellipsoid (denoted $N$ as the great normal) coincides with the radius of curvature of the ellipse intersecting the plane and the ellipsoid at the point in question.

Comments: 7 Pages. In French.

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[v1] 2025-07-12 22:48:38

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