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Topic: Theorema egregrium

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Carl Friedrich Gauss

	Theorema Egregium - Wikipedia, the free encyclopedia
		The Theorema Egregium ('Remarkable Theorem') is an important theorem of Carl Friedrich Gauss concerning the curvature of surfaces.
		Informally, the theorem says that the curvature of a surface can be determined entirely by measuring angles and distances on the surface, that is, it does not depend on how the surface might be embedded in (3-dimensional) space.
		A somewhat whimsical application of the Theorema Egregium is seen in a common pizza-eating strategy: A slice of pizza can be seen as a surface with constant Gaussian curvature 0.
	en.wikipedia.org /wiki/Theorema_egregrium (361 words)

	Carl Friedrich Gauss - Wikipedia, the free encyclopedia
		Moreover, it fuelled Gauss's interest in differential geometry, a field of mathematics dealing with curves and surfaces.
		In this field, he came up with an important theorem, the theorema egregrium (remarkable theorem in Latin) establishing an important property of the notion of curvature.
		Informally, the theorem says that the curvature of a surface can be determined entirely by measuring angles and distances on the surface; that is, curvature does not depend on how the surface might be embedded in (3-dimensional) space.
	en.wikipedia.org /wiki/Carl_Friedrich_Gauss (2352 words)

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