two surfaces are isometric if their first fundamental forms are the same or if the coefficients of the first fundamental forms are the same?

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- May 6th 2012, 11:59 AMalexandrabel90isometric definition
two surfaces are isometric if their first fundamental forms are the same or if the coefficients of the first fundamental forms are the same?

- May 6th 2012, 12:38 PMRebesquesRe: isometric definition
The coefficients must be

(or, can be made to be)

the same at every pair of corresponding points.