Theorema (disambiguation)

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Theorema is a genus of butterflies.

Theorema is also Latin for "theorem", and a number of theorems are sometimes referred to by a Latin name in English, most notably two theorems of Carl Friedrich Gauss:

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<i>Theorema Egregium</i> Differential geometry theorem

Gauss's Theorema Egregium is a major result of differential geometry proved by Carl Friedrich Gauss that concerns the curvature of surfaces. The theorem is that Gaussian curvature can be determined entirely by measuring angles, distances and their rates on a surface, without reference to the particular manner in which the surface is embedded in the ambient 3-dimensional Euclidean space. In other words, the Gaussian curvature of a surface does not change if one bends the surface without stretching it. Thus the Gaussian curvature is an intrinsic invariant of a surface.

Gaussian curvature product of the principal curvatures of a surface

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