In the hyperbolic plane, as in the Euclidean plane, each point can be uniquely identified by two real numbers. Several qualitatively different ways of coordinatizing the plane in hyperbolic geometry are used. This article tries to give an overview of several coordinate systems in use for the two-dimensional hyperbolic plane. In the descriptions below the constant Gaussian curvature of the plane is −1. Sinh, cosh and tanh are hyperbolic functions.
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| - Coordinate systems for the hyperbolic plane (en)
- Système de coordonnées du plan hyperbolique (fr)
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| - In the hyperbolic plane, as in the Euclidean plane, each point can be uniquely identified by two real numbers. Several qualitatively different ways of coordinatizing the plane in hyperbolic geometry are used. This article tries to give an overview of several coordinate systems in use for the two-dimensional hyperbolic plane. In the descriptions below the constant Gaussian curvature of the plane is −1. Sinh, cosh and tanh are hyperbolic functions. (en)
- Dans le plan hyperbolique, comme dans le plan euclidien, chaque point peut être représenté par un couple de nombres réels, appelés ses coordonnées. Il existe plusieurs systèmes de coordonnées du plan hyperbolique, qualitativement distincts. (fr)
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| - In the hyperbolic plane, as in the Euclidean plane, each point can be uniquely identified by two real numbers. Several qualitatively different ways of coordinatizing the plane in hyperbolic geometry are used. This article tries to give an overview of several coordinate systems in use for the two-dimensional hyperbolic plane. In the descriptions below the constant Gaussian curvature of the plane is −1. Sinh, cosh and tanh are hyperbolic functions. (en)
- Dans le plan hyperbolique, comme dans le plan euclidien, chaque point peut être représenté par un couple de nombres réels, appelés ses coordonnées. Il existe plusieurs systèmes de coordonnées du plan hyperbolique, qualitativement distincts. (fr)
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