In the mathematical field of differential geometry, more precisely, the theory of surfaces in Euclidean space, the **Bonnet theorem** states that the first and second fundamental forms determine a surface in **R**3 uniquely up to a rigid motion. It was proven by Pierre Ossian Bonnet in about 1860.

This is not to be confused with the Bonnetâ€“Myers theorem or Gaussâ€“Bonnet theorem.

### Famous quotes containing the words theorem and/or bonnet:

“To insure the adoration of a *theorem* for any length of time, faith is not enough, a police force is needed as well.”

—Albert Camus (1913–1960)

“Your hose should be ungartered, your *bonnet* unbanded, your

sleeve unbuttoned, your shoe untied, and everything about

you demonstrating a careless desolation.”

—William Shakespeare (1564–1616)