Horocycle

/ˈhɒrəʊˌsaɪkəl/

/ˈhɔroʊˌsaɪkəl/

Translation of "horocycle" into Russian

Noun

/ˈhɒrəʊˌsaɪkəl/

/ˈhɔroʊˌsaɪkəl/

horocycle

horocycles pl

гороцикл

In hyperbolic geometry, a horocycle is a curve whose normal geodesics all converge asymptotically in the same direction.

В гиперболической геометрии гороцикл — это кривая, нормальные геодезические которой асимптотически сходятся в одном направлении.

Noun

/ˈhɒrəʊˌsaɪkəl/

/ˈhɔroʊˌsaɪkəl/

In hyperbolic geometry, a horocycle is a curve whose normal geodesics all converge asymptotically in the same direction.

In the Poincaré disk model, a horocycle can be visualized as a circle that is tangent to the boundary of the disk.

Adjective

/ˈhɒrəʊˌsaɪkəl/

/ˈhɔroʊˌsaɪkəl/

Relating to or involving a horocycle or horocycles.

The horocycle flow exhibits unique ergodic properties.