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.
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 (19131960)
“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 Worths.”
—Susan B. Anthony (18201906)