Ultra-parallels

Translation of "ultra-parallels" into Russian

Noun

ultra-parallels pl

ultra-parallel

ultra-parallels pl

Refers to a line or pair of lines that are ultra-parallel.

расходящаяся

геометрия; прямая, расходящаяся с данной и не являющаяся предельной параллельной

An ultra-parallel does not intersect the given line.

Расходящаяся не пересекает данную прямую.

Additional translations

ультрапараллель

реже; калька с английского, употребляется в технических текстах

Noun

(hyperbolic geometry) A line (or a pair of lines) that is ultra-parallel to another line.

Given any line ℓ and a point P outside ℓ, there are infinitely many ultra-parallels to ℓ through P.

Adjective

(hyperbolic geometry) Of two lines in a hyperbolic plane: diverging so that they neither intersect nor admit a common limiting parallel.

In hyperbolic geometry, two ultra-parallel lines have exactly one common perpendicular.