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Radical axis

In Euclidean geometry, the radical axis of two non-concentric circles is the set of points whose powers with respect to the circles are equal. For this reason the radical axis is also called the power line or power bisector of the two circles. In detail:

Measurement, Coaxal circles & On notations

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Overview

On notations

Properties

System of orthogonal circles

Coaxal circles

Relation to bipolar coordinates

Radical center in trilinear coordinates

Radical plane and hyperplane

Advanced semantic analysis

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Map overview Semantic statistics

Radical axis

Nodes36
Edges35
Triples30
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

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Radical axis

Top relations

related to On notations · 11
Radical axis → Chasles, Chordale, French, German, Linie, Plücker, Poncelet, Potenzen, Potenzgerade, Steiner, The
related to System of orthogonal circles · 5
Radical axis → From, If, Let, Now, The
is a · 4
Radical axis → common secant line of the circles, line perpendicular to M 1 M 2, line segment bisector of M1, straight line.The same definition can be applied to hyperspheres in Euclidean space of any dimension
related to Orthogonal circles · 4
Radical axis → For, Hence, Pi, The
related to Radical plane and hyperplane · 2
Radical axis → Euclidean, The
related to Relation to bipolar coordinates · 2
Radical axis → Every, In
related to Special positions · 2
Radical axis → Orthogonal, The

Important terminology Word statistics

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Important terminology

circles radical displaystyle axis two line circle system common points center point centers power equation one coaxal lambda called equal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Radical axisis acommon secant line of the circles0.90text
Radical axisis aline segment bisector of M10.90text
Radical axisis aline perpendicular to M 1 M 20.90text
Radical axisis astraight line.The same definition can be applied to hyperspheres in Euclidean space of any dimension0.90text
Radical axisrelated to On notationsThe0.60section
Radical axisrelated to On notationsFrench0.60section
Radical axisrelated to On notationsChasles0.60section
Radical axisrelated to On notationsPoncelet0.60section
Radical axisrelated to On notationsPlücker0.60section
Radical axisrelated to On notationsChordale0.60section
Radical axisrelated to On notationsSteiner0.60section
Radical axisrelated to On notationsGerman0.60section

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    Min side: 3
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