Meusnier's theorem

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In differential geometry, Meusnier's theorem states that all curves on a surface passing through a given point p and having the same tangent line at p also have the same normal curvature at p and their osculating circles form a sphere. The theorem was first announced by Jean Baptiste Meusnier in 1776.

[edit] External links

• Meusnier's theorem Johannes Kepler University Linz, Institute for Applied Geometry
• Meusnier's theorem in Springer Online