- hyperbolic parallel
- мат.гиперболическая параллель
English-Russian scientific dictionary. 2008.
hyperbolic parallel
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Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall … Wikipedia
Parallel (geometry) — Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The assumed existence and properties of parallel lines are the basis of Euclid s… … Wikipedia
Hyperbolic space — In mathematics, hyperbolic n space, denoted H n , is the maximally symmetric, simply connected, n dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic… … Wikipedia
hyperbolic geometry — Geom. the branch of non Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that two distinct lines may be drawn parallel to a given line through a point not on the given line. Cf. Riemannian geometry … Universalium
Hyperbolic motion — In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and… … Wikipedia
hyperbolic geometry — noun (mathematics) a non Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane Karl Gauss pioneered hyperbolic… … Useful english dictionary
Parallel postulate — In geometry, the parallel postulate, also called Euclid s fifth postulate since it is the fifth postulate in Euclid s Elements , is a distinctive axiom in what is now called Euclidean geometry. It states that: If a line segment intersects two… … Wikipedia
hyperbolic — I. adjective also hyperbolical Date: 15th century of, relating to, or marked by hyperbole • hyperbolically adverb II. adjective Date: 1676 1. of, relating to, or being analogous to a hyperbola 2. of, relating to, or being a space in which more… … New Collegiate Dictionary
hyperbolic paraboloid — noun Date: 1842 a saddle shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is… … New Collegiate Dictionary
hyperbolic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas. Cf. elliptic paraboloid. [1835 45] * * * … Universalium
hyperbolic paraboloid — hyperbol′ic parab′oloid n. math. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas • Etymology:… … From formal English to slang
