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Gauss's Theorema Egregium (Latin for "Remarkable Theorem") is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns...

the content of the Theorema egregium. Gaussian curvature is named after Carl Friedrich Gauss, who published the Theorema egregium in 1827. At any point...

located in the ambient Euclidean space. The crowning result, the Theorema Egregium of Gauss, established that the Gaussian curvature is an intrinsic...

the Earth's surface onto a flat plane, a consequence of the later Theorema Egregium of Gauss. The first systematic or rigorous treatment of geometry using...

two theorems of Carl Friedrich Gauss: Theorema Egregium, "Remarkable Theorem", best-known example Aureum Theorema, "Golden Theorem", better-known as quadratic...

world map changes Mappa mundi Maps of the world Rhumbline network Theorema Egregium Time zone Large-Scale Distortions in Map Projections Archived 16 February...

geometry. One of the oldest such discoveries is Carl Friedrich Gauss's Theorema Egregium ("remarkable theorem") that asserts roughly that the Gaussian curvature...

cylinder, which is a consequence of Gaussian curvature and Gauss's Theorema Egregium. A familiar example of this is a floppy pizza slice, which will remain...

change apparent density of the phenomenon being mapped. By Gauss's Theorema Egregium, an equal-area projection cannot be conformal. This implies that an...

two-dimensional being constrained to move on it. As a result, the Theorema Egregium (remarkable theorem), established a property of the notion of Gaussian...

Gauss equation, as it may be viewed as a generalization of Gauss's Theorema Egregium. For general Riemannian manifolds one has to add the curvature of...

surface (the first fundamental form). This result is known as the Theorema Egregium ("remarkable theorem" in Latin). A map that preserves the local measurements...

unexpected insights into mathematical structures. For example, Gauss's Theorema Egregium is a deep theorem which relates a local phenomenon (curvature) to...

Curvature Radius of curvature Osculating circle Curve Fenchel's theorem Theorema egregium Gauss–Bonnet theorem First fundamental form Second fundamental form...

– Originally described something that was remarkably good (as in Theorema Egregium). The word is from the Latin egregius "illustrious, select", literally...

a layer of paint. Chattel house Metal roof Nissen hut Quonset hut Theorema Egregium, for more information on why corrugation increases strength Tin tabernacle...

differential geometry of surfaces, which Gauss himself proved in his theorema egregium. The fundamental objects are called the Riemannian metric and the...

L, M, and N are the coefficients of the second fundamental form. Theorema egregium of Gauss states that the Gaussian curvature of a surface can be expressed...

projective geometry; Gergonne point Carl Friedrich Gauss (1777–1855) – Theorema Egregium Louis Poinsot (1777–1859) Siméon Denis Poisson (1781–1840) Jean-Victor...

paradoxes – List of statements that appear to contradict themselves Theorema Egregium – Differential geometry theorem—The "remarkable theorem" discovered...