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Circumcircle

In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is equidistant from all vertices, and can thus be constructed as the point of intersection between any two…

Geography, Other properties & Circumcircle equations

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Overview

Straightedge and compass construction

Location relative to the triangle

Circumcircle equations

Cartesian coordinates

Circumcenter coordinates

Triangle centers on the circumcircle

Other properties

Cyclic polygons

Advanced semantic analysis

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Map overview Semantic statistics

Circumcircle

Nodes88
Edges87
Triples44
Avg. degree1.98
Density0.022727
Components1

How this topic connects Entity context

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

Circumcircle

Top relations

related to Triangle centers on the circumcircle · 11
Circumcircle → A-B, ABC, An, B-C, C-A, Focus, In, Kiepert, Steiner, Tarry, The Steiner
related to External links · 10
Circumcircle → Cyclic Polygon, Derivation, Dynamic Geometry Sketches, Eric, Java, Mathalino, MathWorld, Triangle, Weisstein, With
related to Cartesian coordinates · 8
Circumcircle → Cartesian, Euclidean, In, Suppose, Sv, The, Thus, Using
related to Higher dimensions · 4
Circumcircle → Additionally, Let, The, We
related to Alternative construction · 3
Circumcircle → An, In, The
related to Straightedge and compass construction · 3
Circumcircle → Any, The, Therefore
related to Other properties · 2
Circumcircle → As, The
related to Trilinear and barycentric coordinates · 2
Circumcircle → An, The
is a · 1
Circumcircle → line at infinity

Important terminology Word statistics

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Important terminology

triangle displaystyle circumcenter circle right coordinates vertices frac three angle end left circumradius begin points point two aligned sqrt radius

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Circumcircleis aline at infinity0.90text
Circumcirclerelated to Alternative constructionAn0.60section
Circumcirclerelated to Alternative constructionIn0.60section
Circumcirclerelated to Alternative constructionThe0.60section
Circumcirclerelated to Cartesian coordinatesIn0.60section
Circumcirclerelated to Cartesian coordinatesEuclidean0.60section
Circumcirclerelated to Cartesian coordinatesCartesian0.60section
Circumcirclerelated to Cartesian coordinatesSuppose0.60section
Circumcirclerelated to Cartesian coordinatesThe0.60section
Circumcirclerelated to Cartesian coordinatesUsing0.60section
Circumcirclerelated to Cartesian coordinatesThus0.60section
Circumcirclerelated to Cartesian coordinatesSv0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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