- 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.
References
- Meusnier's theorem Johannes Kepler University Linz, Institute for Applied Geometry
- Meusnier's theorem in Springer Online
- Ian R. Porteous (2001) Geometric Differentiation, § 15.1 Theorems of Euler and Meusnier, pp 253–5, Cambridge University Press ISBN 0-521-00264-8 .
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