Noun:

ହାଇପରବୋଲିକ୍ ଜ୍ୟାମିତି |,

hyperbolic geometry's Usage Examples:

In hyperbolic geometry, by contrast, there are infinitely many lines through A not intersecting l, while in elliptic.

that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry.

It is hyperbolic geometry in more than 2 dimensions, and is distinguished from Euclidean spaces.

Two important applications are to hyperbolic geometry, where decompositions of closed surfaces into pairs of pants are used to construct the Fenchel-Nielsen.

Riemann and Poincaré into hyperbolic geometry (the acute case) and elliptic geometry (the obtuse case).

In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as.

It is one of a series of four woodcuts by Escher depicting ideas from hyperbolic geometry.

Rather, squares in hyperbolic geometry.

In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight.

transformations are also isometries of the hyperbolic plane, so in hyperbolic geometry all Apollonian gaskets are congruent.

In hyperbolic geometry, the ending lamination theorem, originally conjectured by William Thurston (1982), states that hyperbolic 3-manifolds with finitely.

In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries.

Synonyms:

non-Euclidean geometry,

Antonyms:

decreased, unpretentious, weakened,