Gauss's Theorema Egregium (Latin for "Remarkable Theorem") is a major result of differential geometry proved by Carl Friedrich Gauss. The theorem is about the curvature of surfaces. The theorem states that curvature can be determined by measuring angles, distances and their rates on a surface alone. There is no need to talk about the particular manner in which the surface is embedded in the surrounding three-dimensional Euclidean space. In other words, the Gaussian curvature of a surface does not change if one bends the surface without stretching it. 