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Incenter

In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale. The incenter may be equivalently defined as the point where the internal angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the…

Related constructions, Overview & Definition and construction

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Overview

Definition and construction

Proofs

Relation to triangle sides and vertices

Related constructions

Advanced semantic analysis

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Map overview Semantic statistics

Incenter

Nodes53
Edges52
Triples41
Avg. degree1.96
Density0.037736
Components1

How this topic connects Entity context

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Incenter

Top relations

related to Distances to vertices · 9
Incenter → AB, ABC, Additionally, BC, CA, Denoting, IA, IB, IC
related to Definition and construction · 6
Incenter → Book IV, Euclidean, In Euclid's Elements, It, Proposition, The
related to Euler line · 4
Incenter → Denoting, Euler, The, The Euler
related to Other centers · 4
Incenter → By Euler's, OI, R-2r, The
related to Relative distances from an angle bisector · 4
Incenter → BX, CX, Let, Then
related to Cartesian coordinates · 3
Incenter → If, The, The Cartesian
related to External links · 3
Incenter → Eric, MathWorld, Weisstein
is a · 2
Incenter → center of this circle and is equally distant from all sides, Nagel point of the medial triangle
related to Area and perimeter splitters · 2
Incenter → Any, There
related to Barycentric coordinates · 2
Incenter → Barycentric, The

Important terminology Word statistics

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Important terminology

triangle displaystyle point sides angle line center three vertices centers coordinates orthocenter given distance overline medial axis circle bisector euler

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Incenteris acenter of this circle and is equally distant from all sides0.90text
Incenteris aNagel point of the medial triangle0.90text
Incenterrelated to Area and perimeter splittersAny0.60section
Incenterrelated to Area and perimeter splittersThere0.60section
Incenterrelated to Barycentric coordinatesThe0.60section
Incenterrelated to Barycentric coordinatesBarycentric0.60section
Incenterrelated to Cartesian coordinatesThe Cartesian0.60section
Incenterrelated to Cartesian coordinatesThe0.60section
Incenterrelated to Cartesian coordinatesIf0.60section
Incenterrelated to Definition and constructionIt0.60section
Incenterrelated to Definition and constructionEuclidean0.60section
Incenterrelated to Definition and constructionIn Euclid's Elements0.60section

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    Min side: 3
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