Definition of Horocycles. Meaning of Horocycles. Synonyms of Horocycles

Here you will find one or more explanations in English for the word Horocycles. Also in the bottom left of the page several parts of wikipedia pages related to the word Horocycles and, of course, Horocycles synonyms and on the right images related to the word Horocycles.

Definition of Horocycles

No result for Horocycles. Showing similar results...

Meaning of Horocycles from wikipedia

- ideal point, the centre of the horocycle). Through every pair of points there are two horocycles. The centres of the horocycles are the ideal points of the...
- between this horocycle and the radii is 1. The ratio of the arc lengths between two radii of two concentric horocycles where the horocycles are a distance...
- there are 4 distinct types of generalized circles or cycles: circles, horocycles, hypercycles, and geodesics (or "hyperbolic lines"). In the Poincaré disk...
- and horocycles in the Klein disk model are also deformed. For constructions in the hyperbolic plane that contain circles, hypercycles, horocycles or non...
- arcs of horocycles. The choice of log ⁡ 2 {\displaystyle \log 2} as the distance between the two horocycles causes one of the two arcs of horocycles (the...
- impossible in Euclidean geometry, like infinite trees, equidistants and horocycles, and straight lines which never cross. There is also one land that relies...
- of the sphere it projects generalized circles (geodesics, hypercycles, horocycles, and circles) in the hyperbolic plane to generalized circles (lines or...
- terms horosphere and horocycle are due to Lobachevsky, who established various results showing that the geometry of horocycles and the horosphere in...
- circles can be interpreted as horocycles. In hyperbolic geometry any two horocycles are congruent. When these horocycles are cir****scribed by apeirogons...
- to some given horocycle. These numbers are the hyperbolic distance x h {\displaystyle x_{h}} from P {\displaystyle P} to the horocycle, and the (signed)...