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Line segment

In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints (its extreme points), and contains every point on the line that is between its endpoints. It is a special case of an arc, with zero curvature.

Art, In other geometric shapes & Properties

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Explore the main themes, entities and connections around Line segment. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

In real or complex vector spaces

Properties

In proofs

As a degenerate ellipse

In other geometric shapes

Directed line segment

Generalizations

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Line segment

Nodes89
Edges88
Triples44
Avg. degree1.98
Density0.022472
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Line segment

Top relations

related to External links · 9
Line segment → Animated, Creative Commons Attribution/Share-Alike License, Eric, Line, MathWorld, PlanetMath, PlanetMathCopying, This, Weisstein
related to Directed line segment · 7
Line segment → Euclidean, Extending, Giusto Bellavitis, It, The, This, When
is a · 6
Line segment → connected, convex hull of two points, one-dimensional simplex, open set in V if and only if V is one-dimensional.More generally than above, part of a straight line that is bounded by two distinct endpoints, result
related to In proofs · 5
Line segment → For, In, Segments, The, This
related to Properties · 5
Line segment → Euclidean, However, If, More, The
related to Circles and ellipses · 4
Line segment → Any, In, Similarly, The
related to Generalizations · 2
Line segment → Analogous, In
related to In real or complex vector spaces · 2
Line segment → If, The
see also · 2
Line segment → Line, Polygonal
related to As a degenerate ellipse · 1
Line segment → As

Important terminology Word statistics

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Important terminology

line segment segments two points endpoints geometry one ellipse called chord set midpoint triangle open directed foci center diameter connecting

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Line segmentis apart of a straight line that is bounded by two distinct endpoints0.90text
Line segmentis aconvex hull of two points0.90text
Line segmentis aconnected0.90text
Line segmentis aopen set in V if and only if V is one-dimensional.More generally than above0.90text
Line segmentis aresult0.90text
Line segmentis aone-dimensional simplex0.90text
Line segmentrelated to As a degenerate ellipseAs0.60section
Line segmentrelated to Circles and ellipsesAny0.60section
Line segmentrelated to Circles and ellipsesIn0.60section
Line segmentrelated to Circles and ellipsesSimilarly0.60section
Line segmentrelated to Circles and ellipsesThe0.60section
Line segmentrelated to Directed line segmentWhen0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

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    Min side: 3
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