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Limiting parallel

In neutral or absolute geometry, and in hyperbolic geometry, there may be many lines parallel to a given line R {\displaystyle R} through a point P {\displaystyle P} not on line R {\displaystyle R} ; however, in the plane, two parallels may be closer to R {\displaystyle R} than all others (one in each direction of R {\displaystyle R} ).

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Definition

Coterminal
1 related topics

Overview

Absolute geometryHyperbolic geometryGreekRaysEquivalence relation
7 related topics

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Overview

Definition

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Limiting parallel

Nodes11
Edges10
Triples7
Avg. degree1.82
Density0.181818
Components1

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Limiting parallel

Top relations

related to Definition · 4
Limiting parallel → Aa, AB, BAa, Bb
is a · 1
Limiting parallel → equivalence relation
related to Properties · 1
Limiting parallel → Distinct
see also · 1
Limiting parallel → In Hyperbolic

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Important terminology

parallel limiting parallels displaystyle lines geometry hyperbolic line definition rays meet neutral given coterminal distinct ab angle point thus greek

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Limiting parallelis aequivalence relation0.90text
Limiting parallelrelated to DefinitionAa0.60section
Limiting parallelrelated to DefinitionBb0.60section
Limiting parallelrelated to DefinitionAB0.60section
Limiting parallelrelated to DefinitionBAa0.60section
Limiting parallelrelated to PropertiesDistinct0.60section
Limiting parallelsee alsoIn Hyperbolic0.60section

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