Bonnet Theorem

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 R3 uniquely up to a rigid motion. It was proven by Pierre Ossian Bonnet in about 1860.

This is not to be confused with the Bonnet–Myers theorem or Gauss–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)

    Had I represented twenty thousand voters in Michigan, that political editor would not have known nor cared whether I was the oldest or the youngest daughter of Methuselah, or whether my bonnet came from the Ark or from Worth’s.
    Susan B. Anthony (1820–1906)