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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, but not published until 1785.^{[1]}
At least prior to 1912, several writers in English were in the habit of calling the result *Meunier's theorem*, although there is no evidence that Meusnier himself ever spelt his name in this way.^{[2]}
This alternative spelling of Meusnier's name also appears on the Arc de Triomphe in Paris.

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