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 ·
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 ·
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 ·
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.
Eugenio Beltrami and Parallel postulate · Horosphere and Parallel postulate ·
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.
Eugenio Beltrami and Poincaré disk model · Horosphere and Poincaré disk model ·
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 ·
The list above answers the following questions
- What Eugenio Beltrami and Horosphere have in common
- What are the similarities between Eugenio Beltrami and Horosphere
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
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