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Hypercycle (geometry)

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

Congruence classes of Steiner parabolas, Properties similar to those of Euclidean circles & Properties similar to those of Euclidean lines

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Explore the main themes, entities and connections around Hypercycle (geometry). Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Congruence classes of Steiner parabolas

Steiner conicCollineationProjective planeFieldCongruence classes
11 related topics

Properties similar to those of Euclidean circles

CirclesIf and only ifUltraparallelMonotonicallyPerpendicular
5 related topics

Properties similar to those of Euclidean lines

LinesEuclidean geometryPlayfair's axiom
3 related topics

Other properties

SinhAngle of parallelism
2 related topics

Topics to explore

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Overview

Properties similar to those of Euclidean lines

Properties similar to those of Euclidean circles

Other properties

Length of an arc

Construction

Congruence classes of Steiner parabolas

Advanced semantic analysis

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Map overview Semantic statistics

Hypercycle (geometry)

Nodes40
Edges39
Triples0
Avg. degree1.95
Density0.05
Components1

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Important terminology Word statistics

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Important terminology

hypercycle line points axis distance perpendicular hyperbolic hypercycles point plane two lines common radius called ab geometry given arc length

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

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