Geometry

A Note On The Second Radius of Curvature of the Ellipsoid

Authors: Abdelmajid Ben Hadj Salem
Comments: 7 Pages. In French.

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.
Category: Geometry