AI & ChatGPT searches , social queriess for HYPERBOLIC SPACE
Search references for HYPERBOLIC SPACE. Phrases containing HYPERBOLIC SPACE
See searches and references containing HYPERBOLIC SPACE!
Search references for HYPERBOLIC SPACE. Phrases containing HYPERBOLIC SPACE
See searches and references containing HYPERBOLIC SPACE!HYPERBOLIC SPACE
Non-Euclidean geometry
In mathematics, hyperbolic space of dimension n is the unique simply connected, n-dimensional Riemannian manifold of constant negative sectional curvature
Hyperbolic_space
Type of non-Euclidean geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate
Hyperbolic_geometry
Concept in mathematics
In mathematics, a hyperbolic metric space is a metric space satisfying certain metric relations (depending quantitatively on a nonnegative real number
Hyperbolic_metric_space
Tiling of hyperbolic 3-space by uniform polyhedra
complete set of hyperbolic uniform honeycombs. More unsolved problems in mathematics In hyperbolic geometry, a uniform honeycomb in hyperbolic space is a uniform
Uniform honeycombs in hyperbolic space
Uniform_honeycombs_in_hyperbolic_space
In mathematics, the complex hyperbolic space is a Hermitian manifold which is the equivalent of the real hyperbolic space in the context of complex manifolds
Complex_hyperbolic_space
Smooth manifold with an inner product on each tangent space
Euclidean space, the n {\displaystyle n} -sphere, hyperbolic space, and smooth surfaces in three-dimensional space, such as ellipsoids and paraboloids, are all
Riemannian_manifold
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank. There
List_of_regular_polytopes
Space where every point locally resembles a hyperbolic space
In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in
Hyperbolic_manifold
Parametrizes complex structures on a surface
S {\displaystyle S} to itself. It can be viewed as a moduli space for marked hyperbolic structure on the surface, and this endows it with a natural topology
Teichmüller_space
Topological space in group theory
such as hyperbolic space. A further classical example is the space of lines in projective space of three dimensions (equivalently, the space of two-dimensional
Homogeneous_space
Mathematical concept
precisely in geometric group theory, a hyperbolic group, also known as a word hyperbolic group or Gromov hyperbolic group, is a finitely generated group
Hyperbolic_group
Operator generalizing the Laplacian in differential geometry
technique works in hyperbolic space. Here the hyperbolic space Hn−1 can be embedded into the n dimensional Minkowski space, a real vector space equipped with
Laplace–Beltrami_operator
Geometrical structure
non-Euclidean spaces such as hyperbolic space. A typical sphere packing problem is to find an arrangement in which the spheres fill as much of the space as possible
Sphere_packing
Triangle in hyperbolic geometry
Euclidean case, three points of a hyperbolic space of an arbitrary dimension always lie on the same plane. Hence planar hyperbolic triangles also describe triangles
Hyperbolic_triangle
Manifold of dimension 3 equipped with a hyperbolic metric
as a quotient of the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group). Hyperbolic 3-manifolds of finite volume have
Hyperbolic_3-manifold
Regular tiling of hyperbolic 3-space
In hyperbolic geometry, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) of hyperbolic 3-space
Order-4 dodecahedral honeycomb
Order-4_dodecahedral_honeycomb
Regular tiling of hyperbolic 3-space
honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {3,5,3}, there are three
Icosahedral_honeycomb
Maximally symmetric Lorentzian manifold with a negative cosmological constant
space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. It is the Lorentzian analogue of hyperbolic space.
Anti-de_Sitter_space
Upper-half plane model of hyperbolic non-Euclidean geometry
model (a representation of the hyperbolic plane on a hyperboloid of two sheets embedded in 3-dimensional Minkowski space, analogous to the sphere embedded
Poincaré_half-plane_model
Mathematical space
multiplication. Hyperbolic space is a homogeneous space that can be characterized by a constant negative curvature. It is the model of hyperbolic geometry.
3-manifold
Two geometries based on axioms closely related to those specifying Euclidean geometry
portion of hyperbolic space and in a second paper in the same year, defined the Klein model, which models the entirety of hyperbolic space, and used this
Non-Euclidean_geometry
boundary of a δ-hyperbolic space (especially a hyperbolic group) is an abstract concept generalizing the boundary sphere of hyperbolic space. Conceptually
Gromov_boundary
Mathematical tree in the hyperbolic plane
amounts of space to be displayed. One approach is to use a hyperbolic tree, first introduced by Lamping et al. Hyperbolic trees employ hyperbolic space, which
Hyperbolic_tree
Regular tiling of hyperbolic 3-space
In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With
Order-5_cubic_honeycomb
Space surrounding an object
the ambient space of l {\displaystyle l} is R 2 {\displaystyle \mathbb {R} ^{2}} , or as an object embedded in 2-dimensional hyperbolic space ( H 2 ) {\displaystyle
Ambient_space_(mathematics)
Regular tiling of hyperbolic 3-space
In hyperbolic geometry, the order-5 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space
Order-5 dodecahedral honeycomb
Order-5_dodecahedral_honeycomb
Isometric automorphisms of a hyperbolic space
In geometry, hyperbolic motions are isometric automorphisms of a hyperbolic space. Under composition of mappings, the hyperbolic motions form a continuous
Hyperbolic_motion
Polyhedron with regular congruent polygons as faces
stereographic projections into 3-space. Studies of non-Euclidean (hyperbolic and elliptic) and other spaces such as complex spaces, discovered over the preceding
Regular_polyhedron
Relation of space and time in relativity theory
relativity of simultaneity. Keeping time and space axes hyperbolically orthogonal, as in Minkowski space, gives a constant result when measurements are
Hyperbolic_orthogonality
nodes are sprinkled according to a probability density function into a hyperbolic space of constant negative curvature and (2) an edge between two nodes is
Hyperbolic_geometric_graph
examples are Euclidean n-space, the n-dimensional sphere, and hyperbolic space, although a space form need not be simply connected. The Killing–Hopf theorem
Space_form
Tiling of euclidean or hyperbolic space of three or more dimensions
such as hyperbolic honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space. There are
Honeycomb_(geometry)
Rational function of the form (az + b)/(cz + d)
orientation-preserving isometries of hyperbolic 3-space and therefore plays an important role when studying hyperbolic 3-manifolds. In physics, the identity
Möbius_transformation
Technique of creating lace or fabric from thread using a hook
hyperbolic space after finding paper models were delicate and hard to create. These models enable one to turn, fold, and otherwise manipulate space to
Crochet
Tessellation of convex uniform polyhedron cells
uniform honeycombs in hyperbolic space are tessellations of convex uniform polyhedron cells. In 3-dimensional hyperbolic space there are 23 Coxeter group
Paracompact uniform honeycombs
Paracompact_uniform_honeycombs
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
examples, see below for examples of flat space (Minkowski space) and maximally symmetric spaces (sphere, hyperbolic space). Killing fields are used to discuss
Killing_vector_field
Mathematical description of spacetime used in relativity
yielding hyperbolic geometry. Model spaces of hyperbolic geometry of low dimension, say 2 or 3, cannot be isometrically embedded in Euclidean space with one
Minkowski_spacetime
Theory of subatomic structure
up" copies of hyperbolic space to get higher-dimensional models of anti-de Sitter space. An important feature of anti-de Sitter space is its boundary
String_theory
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
non-compact symmetric spaces is a generalization of the well known duality between spherical and hyperbolic geometry. A symmetric space with a compatible
Simple_Lie_group
Mutation of quaternions where unit vectors square to +1
Space Analysis, and in a series of lectures at Lehigh University in 1900. Like the quaternions, the set of hyperbolic quaternions form a vector space
Hyperbolic_quaternion
Mathematical model combining space and time
group of the plane, and is isomorphic to the group of isometries in hyperbolic space which is often expressed in terms of the hyperboloid model. In a Cartesian
Spacetime
Model of n-dimensional hyperbolic geometry
Minkowski space with S+ or by wedge products of m vectors. Hyperbolic space is embedded isometrically in Minkowski space; that is, the hyperbolic distance
Hyperboloid_model
Quadratic form for which there is a non-zero vector on which the form evaluates to zero
orthogonal when B(u, v) = 0. In the case of the hyperbolic plane, such u and v are hyperbolic-orthogonal. A space with quadratic form is split (or metabolic)
Isotropic_quadratic_form
Shape in hyperbolic geometry
points, points "at infinity" rather than interior to three-dimensional hyperbolic space. It can be defined as the convex hull of a finite set of ideal points
Ideal_polyhedron
Natural number
seven-dimensional space is anomalously large. The lowest known dimension for an exotic sphere is the seventh dimension. In hyperbolic space, 7 is the highest
7
Infinite regular skew polyhedron
finite cases. In 1967 Garner investigated regular skew apeirohedra in hyperbolic 3-space with Petrie and Coxeters definition, discovering 31 regular skew apeirohedra
Regular_skew_apeirohedron
Normalized hyperbolic volume of the complement of a hyperbolic knot
negative curvature, giving it the structure of a hyperbolic 3-manifold, a quotient of hyperbolic space by a group acting freely and discontinuously on
Hyperbolic_volume
Latvian mathematician
Field Guide to Hyperbolic Space". In 2005 the IFF decided to incorporate Taimiņa's ideas and approach of explaining hyperbolic space in their mission
Daina_Taimiņa
Flat-sided three-dimensional shape
Ideal polyhedron is a convex polyhedron defined in three-dimensional hyperbolic space. Lattice polyhedra are the convex polyhedra that can be constructed
Polyhedron
Mathematical space with a notion of distance
Euclidean space with its usual notion of distance. Other well-known examples are a sphere equipped with the angular distance and the hyperbolic plane. A
Metric_space
German mathematician and physicist (1864–1909)
space can also be found in the hyperboloid model of hyperbolic space already known in the 19th century, because isometries (or motions) in hyperbolic
Hermann_Minkowski
considered tessellations, or tilings, of spherical space. Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that
List_of_mathematical_shapes
Smallest convex set containing a given set
intersection of all convex supersets, apply to hyperbolic spaces as well as to Euclidean spaces. However, in hyperbolic space, it is also possible to consider the
Convex_hull
lists the regular polytope compounds in Euclidean, spherical and hyperbolic spaces. For any natural number n, there are n-pointed star regular polygonal
List of regular polytope compounds
List_of_regular_polytope_compounds
Covering by shapes without overlaps or gaps
uniform honeycomb in hyperbolic space is a uniform tessellation of uniform polyhedral cells. In three-dimensional (3-D) hyperbolic space there are nine Coxeter
Tessellation
Concept in geometry
hyperbolic space, each line has two distinct ideal points. Here, the set of ideal points takes the form of a quadric. In an affine or Euclidean space
Point_at_infinity
simplest examples of Gromov hyperbolic spaces. A metric space X {\displaystyle X} is a real tree if it is a geodesic space where every triangle is a tripod
Real_tree
Regular paracompact honeycomb
field of hyperbolic geometry, the hexagonal tiling honeycomb is one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is paracompact
Hexagonal_tiling_honeycomb
Function between two metric spaces that only respects their large-scale geometry
called hyperbolic if one of its Cayley graphs is a δ-hyperbolic space for some δ. When translating between different definitions of hyperbolicity, the particular
Quasi-isometry
Mathematical space with two coordinates
distance from each-other. Two-dimensional spaces can also be curved, for example the sphere and hyperbolic plane, sufficiently small portions of which
Two-dimensional_space
Paneitz operator, Dirac operators on hyperbolic space, the hyperbolic Laplacian and Weinstein equations. In Euclidean space the Dirac operator has the form
Clifford_analysis
Shape with three sides
a Euclidean space, roughly speaking a flat space. This means triangles may also be discovered in several spaces, as in hyperbolic space and spherical
Triangle
Characterizes complete connected Riemannian manifolds of constant curvature
sphere, Euclidean space, or hyperbolic space by a group acting freely and properly discontinuously. These manifolds are called space forms. The Killing–Hopf
Killing–Hopf_theorem
Relation between sides of a right triangle
{b}{2R}}-2\sin ^{2}{\frac {a}{2R}}\,\sin ^{2}{\frac {b}{2R}}.} In a hyperbolic space with uniform Gaussian curvature −1/R2, for a right triangle with legs
Pythagorean_theorem
Spherical triangle that can be used to tile a sphere
one-parameter family; in the plane there are three Möbius triangles, while in hyperbolic space there is a three-parameter family of Möbius triangles, and no exceptional
Schwarz_triangle
Group of unitary complex matrices with determinant of 1
\operatorname {SU} (2,1;\mathbb {Z} [i])} which acts (projectively) on complex hyperbolic space of dimension two, in the same way that SL ( 2 , 9 ; Z ) {\displaystyle
Special_unitary_group
Subspace of n-space whose dimension is (n-1)
intersection of half-spaces. In non-Euclidean geometry, the ambient space might be the n-dimensional sphere or hyperbolic space, or more generally a pseudo-Riemannian
Hyperplane
Seifert–Weber space (introduced by Herbert Seifert and Constantin Weber) is a closed hyperbolic 3-manifold. It is also known as Seifert–Weber dodecahedral space and
Seifert–Weber_space
Framework of superstring theory
up" copies of hyperbolic space to get higher-dimensional models of anti-de Sitter space. An important feature of anti-de Sitter space is its boundary
M-theory
Gromov-hyperbolic groups or spaces can be thought of as thickened free groups or trees, the idea of a group G {\textstyle G} being hyperbolic relative
Relatively_hyperbolic_group
group of isometries of hyperbolic space is called geometrically finite if it has a well-behaved fundamental domain. A hyperbolic manifold is called geometrically
Geometric_finiteness
Local and global geometry of the universe
add up to less than 180°; such 3-dimensional space is locally modeled by a region of a hyperbolic space H3. Curved geometries are in the domain of non-Euclidean
Shape_of_the_universe
Model of hyperbolic geometry
model and the Poincaré half-space model, it was proposed by Eugenio Beltrami who used these models to show that hyperbolic geometry was equiconsistent
Poincaré_disk_model
Measure of curvature in differential geometry
Hyperbolic space By the hyperboloid model, an n-dimensional hyperbolic space can be identified with the subset of (n + 1)-dimensional Minkowski space
Scalar_curvature
Argument of the hyperbolic functions
In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of xy = 1 in Quadrant I of the Cartesian plane
Hyperbolic_angle
Gromov-hyperbolic metric space Geodesic metric space is a metric space where any two points are the endpoints of a minimizing geodesic. Hadamard space is
Glossary of Riemannian and metric geometry
Glossary_of_Riemannian_and_metric_geometry
Distance function
space Rn. It was introduced by David Hilbert (1895) as a generalization of Cayley's formula for the distance in the Cayley–Klein model of hyperbolic geometry
Hilbert_metric
theory of metric spaces named after the mathematician Mikhail Gromov. The Gromov product can also be used to define δ-hyperbolic metric spaces in the sense
Gromov_product
hyperplane on 3-dimensional surfaces: the 3-sphere, Euclidean 3-space, and hyperbolic 3-space. Coxeter named them after Édouard Goursat who first looked into
Goursat_tetrahedron
of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It
Order-4 hexagonal tiling honeycomb
Order-4_hexagonal_tiling_honeycomb
Spacetime manifold
global hyperbolicity is a certain condition on the causal structure of a spacetime manifold (that is, a Lorentzian manifold). It is called hyperbolic in analogy
Globally_hyperbolic_spacetime
Duality between theories of gravity on anti-de Sitter space and conformal field theories
distance in ordinary Euclidean geometry. It is closely related to hyperbolic space, which can be viewed as a disk as illustrated on the right. This image
AdS/CFT_correspondence
Notation for tesselations
construction methods do not lead to all uniform tilings in Euclidean or hyperbolic space. The Wythoff construction begins by choosing a generator point on a
Wythoff_symbol
instances of arithmetic groups. An arithmetic hyperbolic three-manifold is the quotient of hyperbolic space H 3 {\displaystyle \mathbb {H} ^{3}} by an arithmetic
Arithmetic hyperbolic 3-manifold
Arithmetic_hyperbolic_3-manifold
Notation for polytopes and tessellations
also 4 regular compact hyperbolic tessellations including {5,3,4}, the hyperbolic small dodecahedral honeycomb, which fills space with dodecahedron cells
Schläfli_symbol
Point at infinity in hyperbolic geometry
In hyperbolic geometry, an ideal point, omega point or point at infinity is a well-defined point outside the hyperbolic plane or space. Given a line l
Ideal_point
a Kleinian model is a model of a three-dimensional hyperbolic manifold N by the quotient space H 3 / Γ {\displaystyle \mathbb {H} ^{3}/\Gamma } where
Kleinian_model
Hyperbolic 3-manifold proposed as a model for the shape of the universe
known hyperbolic 3-manifolds, first described by Émile Picard in 1884. The manifold is the quotient of the upper half-plane model of hyperbolic 3-space by
Picard_horn
Common point(s) shared by two lines in Euclidean geometry
spherical and elliptic geometries, every pair of lines intersects, while in hyperbolic geometry there exist infinitely many distinct lines through a given point
Line–line_intersection
Partial differential equation
include the three-sphere S3, three-dimensional Euclidean space E3, three-dimensional hyperbolic space H3, which are homogeneous and isotropic, and five slightly
Ricci_flow
acylindrically hyperbolic group is a group admitting a non-elementary 'acylindrical' isometric action on some geodesic hyperbolic metric space. This notion
Acylindrically hyperbolic group
Acylindrically_hyperbolic_group
Geometric space with six dimensions
six-dimensional Euclidean space, in which 6-polytopes and the 5-sphere are constructed. Six-dimensional elliptical space and hyperbolic spaces are also studied
Six-dimensional_space
Theorem in hyperbolic geometry
the theorem shows that the deformation space of (complete) hyperbolic structures on a finite volume hyperbolic n {\displaystyle n} -manifold (for n >
Mostow_rigidity_theorem
Pictorial representation of symmetry
represents a hyperplane within a spherical, Euclidean, or hyperbolic space of given dimension. (In 2D spaces, a mirror is a line; in 3D, a mirror is a plane.)
Coxeter–Dynkin_diagram
Mathematical function relating circular and hyperbolic functions
In mathematics, the Gudermannian function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called
Gudermannian_function
Four-dimensional analogue of the tetrahedron
3} and 120-cell {5,3,3} of Euclidean 4-space, and the hexagonal tiling honeycomb {6,3,3} of hyperbolic space. It is one of three {3,3,p} regular 4-polytopes
5-cell
Mathematical group
orientation-preserving isometries of 3-dimensional hyperbolic space H 3 {\displaystyle \mathbb {H} ^{3}} . The quotient space M d = PSL 2 ( O d ) ∖ H 3 {\displaystyle
Bianchi_group
Hypersurface in hyperbolic space
In hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic n-space. It is the boundary of a horoball, the limit of a
Horosphere
Three dimensional analogue of uniformization conjecture
(Euclidean, spherical, or hyperbolic). In three dimensions, it is not always possible to assign a single geometry to a whole topological space. Instead, the geometrization
Geometrization_conjecture
Lie group of Lorentz transformations
space SO+(1, 3) / SO(3) is the momentum space of a massive particle; geometrically, this space is none other than three-dimensional hyperbolic space H3
Lorentz_group
HYPERBOLIC SPACE
HYPERBOLIC SPACE
Surname or Lastname
English or Scottish
English or Scottish : unexplained.
Boy/Male
Hindu
Limitless space Avatar incarnation
Girl/Female
Indian, Telugu
Space
Boy/Male
Arabic, Muslim, Pashtun
Battle Field; Open Space
Boy/Male
Indian
Open space, Battle field
Boy/Male
Tamil
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Space
Antrix | அஂதà¯à®°à¯€à®•à¯à®·
Girl/Female
Indian, Japanese, Tamil
Space; Star
Boy/Male
Biblical
Breadth, space, extent.
Girl/Female
Maori
Open spaces.
Boy/Male
Hindu
Space
Girl/Female
Tamil
Antariksha | அஂதரிகà¯à®·
Space, Sky
Antariksha | அஂதரிகà¯à®·
Surname or Lastname
English
English : habitational name from either of two places in Cheshire. It is possible that the name originally denoted a building where village assemblies were held, named in Old English as ‘meeting-house’, from (ge)mÅt ‘meeting’ + ærn ‘house’, ‘hall’. Other possibilities are that the name derives from Old English (ge)mÅt-rÅ«m ‘meeting space’, or (ge)mÅt-treum ‘assembly trees’.
Girl/Female
Biblical
Spaces, places.
Boy/Male
Tamil
Limitless space Avatar incarnation
Surname or Lastname
English
English : occupational name for a wattler, Middle English watelere, i.e. someone who made the panels of interwoven twigs that were used to fill the spaces between the structural timbers of a timber frame building. See also Dauber.
Boy/Male
Hindu
Space
Girl/Female
Gujarati, Hindu, Indian
Star in Space
Boy/Male
Hindu
Space
Girl/Female
Indian, Telugu
Goddess of Space
Boy/Male
Muslim
Open space, Battle field
HYPERBOLIC SPACE
HYPERBOLIC SPACE
Girl/Female
Hindu
Girl/Female
Hindu
Boy/Male
Christian, Hindu, Indian, Kannada, Marathi, Telugu
New
Girl/Female
Hindu, Indian, Sanskrit
Skill; Skill Talent
Boy/Male
American, Australian, British, English, German, Scandinavian
Rules with Good Judgment; Form of Ronald from Reynold
Girl/Female
Hindu
Goddess Saraswathi, Name of a Raga
Girl/Female
Tamil
Sarunati | ஸரà¯à®¨à®¾à®¤à¯€
Nobleminded
Boy/Male
Indian
God
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Painless
Girl/Female
Latin
Of the sea.and Mary.
HYPERBOLIC SPACE
HYPERBOLIC SPACE
HYPERBOLIC SPACE
HYPERBOLIC SPACE
HYPERBOLIC SPACE
a.
Having the form, or nearly the form, of an hyperbola.
p. pr. & vb. n.
of Hyperbolize
n.
One who uses hyperboles.
imp. & p. p.
of Hyperbolize
n.
A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.
a.
Having some property that belongs to an hyperboloid or hyperbola.
adv.
In the form of an hyperbola.
v. t.
To state or represent hyperbolically.
a.
Of or pertaining to an hyperbaton; transposed; inverted.
n.
The use of hyperbole.
a.
Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression.
n.
A figure of speech in which the expression is an evident exaggeration of the meaning intended to be conveyed, or by which things are represented as much greater or less, better or worse, than they really are; a statement exaggerated fancifully, through excitement, or for effect.
n.
The act of exaggerating; the act of doing or representing in an excessive manner; a going beyond the bounds of truth reason, or justice; a hyperbolical representation; hyperbole; overstatement.
a.
Belonging to the hyperbola; having the nature of the hyperbola.
a.
Exaggerated; excessive; hyperbolical.
n.
A figure by which a grave and magnificent word is put for the proper word; amplification; hyperbole.
a.
Alt. of Hyperbolical
n.
A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.
n.
Diminution; a species of hyperbole, representing a thing as being less than it really is.
v. i.
To speak or write with exaggeration.