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Ideal triangle

In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes called triply asymptotic triangles or trebly asymptotic triangles. The vertices are sometimes called ideal vertices. All ideal triangles are congruent.

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Overview

Properties

Thin triangle condition

Models

Real ideal triangle group

Bibliography

  • ArXiv ArXiv (identifier)
  • Doi Doi (identifier)
  • JSTOR JSTOR (identifier)
  • MR MR (identifier)

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Map overview Semantic statistics

Ideal triangle

Nodes30
Edges29
Triples24
Avg. degree1.93
Density0.066667
Components1

How this topic connects Entity context

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Ideal triangle

Top relations

related to Bibliography · 9
Ideal triangle → Annals, DG/0105264, Ideal, JSTOR, Mathematics, MR, Richard Evan, Schwartz, Ser
related to Properties · 4
Ideal triangle → All, An, Ideal, The
is a · 3
Ideal triangle → hyperbolic triangle whose three vertices all are ideal points, largest possible triangle in hyperbolic geometry, largest possible triangle in hyperbolic geometry.In the standard hyperbolic plane
related to Real ideal triangle group · 3
Ideal triangle → Algebraically, Schwartz, The
related to Models · 2
Ideal triangle → In, Poincaré
related to Thin triangle condition · 2
Ideal triangle → Because, This
related to Distances in an ideal triangle · 1
Ideal triangle → The

Important terminology Word statistics

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Important terminology

ideal triangle hyperbolic three vertices triangles angles plane circle model geometry points sometimes called properties congruent ln displaystyle sqrt approx

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ideal triangleis ahyperbolic triangle whose three vertices all are ideal points0.90text
Ideal triangleis alargest possible triangle in hyperbolic geometry.In the standard hyperbolic plane0.90text
Ideal triangleis alargest possible triangle in hyperbolic geometry0.90text
Ideal trianglerelated to BibliographySchwartz0.60section
Ideal trianglerelated to BibliographyRichard Evan0.60section
Ideal trianglerelated to BibliographyIdeal0.60section
Ideal trianglerelated to BibliographyAnnals0.60section
Ideal trianglerelated to BibliographyMathematics0.60section
Ideal trianglerelated to BibliographySer0.60section
Ideal trianglerelated to BibliographyDG/01052640.60section
Ideal trianglerelated to BibliographyJSTOR0.60section
Ideal trianglerelated to BibliographyMR0.60section

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    Min side: 3
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