Similarities between Hyperbolic geometry and Stereographic projection
Hyperbolic geometry and Stereographic projection have 18 things in common (in Unionpedia): American Mathematical Society, Angle, Cartesian coordinate system, Conformal map, Gaussian curvature, Geometry, Hyperbolic geometry, Isometry, Mathematics, Möbius transformation, Plane (geometry), Poincaré disk model, Projective geometry, Quadric, Riemann sphere, Stereographic projection, Unit circle, Unit sphere.
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
American Mathematical Society and Hyperbolic geometry · American Mathematical Society and Stereographic projection ·
Angle
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angle and Hyperbolic geometry · Angle and Stereographic projection ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Hyperbolic geometry · Cartesian coordinate system and Stereographic projection ·
Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
Conformal map and Hyperbolic geometry · Conformal map and Stereographic projection ·
Gaussian curvature
In differential geometry, the Gaussian curvature or Gauss curvature Κ of a surface at a point is the product of the principal curvatures, κ1 and κ2, at the given point: For example, a sphere of radius r has Gaussian curvature 1/r2 everywhere, and a flat plane and a cylinder have Gaussian curvature 0 everywhere.
Gaussian curvature and Hyperbolic geometry · Gaussian curvature and Stereographic projection ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geometry and Hyperbolic geometry · Geometry and Stereographic projection ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
Hyperbolic geometry and Hyperbolic geometry · Hyperbolic geometry and Stereographic projection ·
Isometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
Hyperbolic geometry and Isometry · Isometry and Stereographic projection ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Hyperbolic geometry and Mathematics · Mathematics and Stereographic projection ·
Möbius transformation
In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0.
Hyperbolic geometry and Möbius transformation · Möbius transformation and Stereographic projection ·
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
Hyperbolic geometry and Plane (geometry) · Plane (geometry) and Stereographic projection ·
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.
Hyperbolic geometry and Poincaré disk model · Poincaré disk model and Stereographic projection ·
Projective geometry
Projective geometry is a topic in mathematics.
Hyperbolic geometry and Projective geometry · Projective geometry and Stereographic projection ·
Quadric
In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).
Hyperbolic geometry and Quadric · Quadric and Stereographic projection ·
Riemann sphere
In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.
Hyperbolic geometry and Riemann sphere · Riemann sphere and Stereographic projection ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
Hyperbolic geometry and Stereographic projection · Stereographic projection and Stereographic projection ·
Unit circle
In mathematics, a unit circle is a circle with a radius of one.
Hyperbolic geometry and Unit circle · Stereographic projection and Unit circle ·
Unit sphere
In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.
Hyperbolic geometry and Unit sphere · Stereographic projection and Unit sphere ·
The list above answers the following questions
- What Hyperbolic geometry and Stereographic projection have in common
- What are the similarities between Hyperbolic geometry and Stereographic projection
Hyperbolic geometry and Stereographic projection Comparison
Hyperbolic geometry has 175 relations, while Stereographic projection has 120. As they have in common 18, the Jaccard index is 6.10% = 18 / (175 + 120).
References
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