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Eugenio Beltrami and Horosphere

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Eugenio Beltrami and Horosphere

Eugenio Beltrami vs. Horosphere

Eugenio Beltrami (16 November 1835 – 18 February 1900) was an Italian mathematician notable for his work concerning differential geometry and mathematical physics. In hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic ''n''-space.

Similarities between Eugenio Beltrami and Horosphere

Eugenio Beltrami and Horosphere have 6 things in common (in Unionpedia): Horocycle, Hyperbolic space, Nikolai Lobachevsky, Parallel postulate, Poincaré disk model, Poincaré half-plane model.

Horocycle

In hyperbolic geometry, a horocycle (ὅριον + κύκλος — border + circle, sometimes called an oricycle, oricircle, or limit circle) is a curve whose normal or perpendicular geodesics all converge asymptotically in the same direction.

Eugenio Beltrami and Horocycle · Horocycle and Horosphere · See more »

Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

Eugenio Beltrami and Hyperbolic space · Horosphere and Hyperbolic space · See more »

Nikolai Lobachevsky

Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry and also his fundamental study on Dirichlet integrals known as Lobachevsky integral formula.

Eugenio Beltrami and Nikolai Lobachevsky · Horosphere and Nikolai Lobachevsky · See more »

Parallel postulate

In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry.

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Poincaré disk model

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.

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Poincaré half-plane model

In non-Euclidean geometry, the Poincaré half-plane model is the upper half-plane, denoted below as H \, together with a metric, the Poincaré metric, that makes it a model of two-dimensional hyperbolic geometry.

Eugenio Beltrami and Poincaré half-plane model · Horosphere and Poincaré half-plane model · See more »

The list above answers the following questions

Eugenio Beltrami and Horosphere Comparison

Eugenio Beltrami has 65 relations, while Horosphere has 14. As they have in common 6, the Jaccard index is 7.59% = 6 / (65 + 14).

References

This article shows the relationship between Eugenio Beltrami and Horosphere. To access each article from which the information was extracted, please visit:

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