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Collinearity

In geometry, collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear (sometimes spelled as colinear). In greater generality, the term has been used for aligned objects, that is, things being "in a line" or "in a row".

Examples in Euclidean geometry, Usage in other areas & Points on a line

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

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Overview

Points on a line

Examples in Euclidean geometry

Algebra

Number theory

Concurrency (plane dual)

Collinearity graph

Usage in statistics and econometrics

Usage in other areas

Advanced semantic analysis

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Map overview Semantic statistics

Collinearity

Nodes107
Edges106
Triples27
Avg. degree1.98
Density0.018692
Components1

How this topic connects Entity context

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Collinearity

Top relations

related to Usage in statistics and econometrics · 8
Collinearity → In, That, This, Two, X1, X1i, X2, X2i
related to Points on a line · 7
Collinearity → Euclidean, For, However, In, In Euclidean, Such, The
related to Concurrency (plane dual) · 4
Collinearity → Given, In, The, Thus
related to Photography · 3
Collinearity → Another, In, The
see also · 3
Collinearity → CollinearityNo-three-in-line, Concyclic, Incidence
related to Collinearity graph · 1
Collinearity → Given

Important terminology Word statistics

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Important terminology

collinear points line point geometry two three lines triangle set vertices called plane center sides object centroid quadrilateral opposite also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
collinearity must be interpreted within the context of that modelinstance oflines and other object types relate to one another and a notion0.80text
Collinearityrelated to Collinearity graphGiven0.60section
Collinearityrelated to Concurrency (plane dual)In0.60section
Collinearityrelated to Concurrency (plane dual)Given0.60section
Collinearityrelated to Concurrency (plane dual)The0.60section
Collinearityrelated to Concurrency (plane dual)Thus0.60section
Collinearityrelated to PhotographyThe0.60section
Collinearityrelated to PhotographyIn0.60section
Collinearityrelated to PhotographyAnother0.60section
Collinearityrelated to Points on a lineIn0.60section
Collinearityrelated to Points on a lineIn Euclidean0.60section
Collinearityrelated to Points on a lineHowever0.60section

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    Min side: 3
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