Jump to content

User:Diamond Blizzard/Books/Hyperbolic Geometry: Concepts and History

From Wikipedia, the free encyclopedia


Hyperbolic Geometry

[edit]

Concepts and History

[edit]
The Geometry We Know
Geometry
Euclidean geometry
Parallel postulate
Playfair's axiom
Strange Possibilities
Non-Euclidean geometry
Absolute geometry
Hyperbolic geometry
Concepts Related to Hyperbolic Geometry
Limiting parallel
Ideal point
Ultraparallel theorem
Gaussian curvature
Angle of parallelism
Hypercycle (geometry)
Horocycle
Hyperbolic triangle
Angular defect
Ideal triangle
Apeirogon
Uniform tilings in hyperbolic plane
List of regular polytopes and compounds
Coordinate systems for the hyperbolic plane
Historically Important People and Ideas
Nikolai Lobachevsky
Carl Friedrich Gauss
Eugenio Beltrami
Henri Poincaré
Sphere-world
Proclus
Ibn al-Haytham
Giovanni Girolamo Saccheri
Saccheri quadrilateral
Omar Khayyam
Johann Heinrich Lambert
Lambert quadrilateral
Is This Relevant to Our World?
Hyperbolic space
Special relativity
Geometrization conjecture
Shape of the universe
Models of Hyperbolic Geometry and Why We Need Them
Hilbert's theorem (differential geometry)
Pseudosphere
Beltrami–Klein model
Poincaré disk model
Poincaré half-plane model
Hyperboloid model
Band model
Artistic Depictions of Hyperbolic Geometry
M. C. Escher
Circle Limit III
Mathematics and fiber arts
Truncated order-7 triangular tiling
HyperRogue
Flatterland