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Limaçon trisectrix

In geometry, a limaçon trisectrix is the name for the quartic plane curve that is a trisectrix that is specified as a limaçon. The shape of the limaçon trisectrix can be specified by other curves particularly as a rose, conchoid or epitrochoid. The curve is one among a number of plane curve trisectrixes that includes the Conchoid of Nicomedes, the…

Art, Trisection properties & Specification and loop structure

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Trisection properties

Central angleIsosceles triangleUnit circleAtan2Line segment
5 related topics

Specification and loop structure

Polar equationSymmetricSinusoidCartesian coordinates
4 related topics

Overview

GeometryQuartic plane curveTrisectrixLimaçonRose
12 related topics

Relationship with the trisectrix hyperbola

Hyperbola - angle trisectionEccentricity
2 related topics

Topics to explore

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Overview

Specification and loop structure

Trisection properties

Relationship with the trisectrix hyperbola

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Map overview Semantic statistics

Limaçon trisectrix

Nodes28
Edges27
Triples12
Avg. degree1.93
Density0.071429
Components1

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Limaçon trisectrix

Top relations

related to Inner loop trisectrix property · 4
Limaçon trisectrix → CM, Here, In Cartesian, The
related to Line segment trisection property · 2
Limaçon trisectrix → Since, The
related to Relationship with the trisectrix hyperbola · 2
Limaçon trisectrix → Given, See Hyperbola
related to Trisection properties · 2
Limaçon trisectrix → The, Theoretically
is a · 1
Limaçon trisectrix → name for the quartic plane curve that is a trisectrix that is specified as a limaçon
related to Specification and loop structure · 1
Limaçon trisectrix → The

Important terminology Word statistics

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Important terminology

displaystyle angle trisectrix loop theta limaçon polar pi cos outer inner alpha rose axis trisection maclaurin leq pole coordinates curve

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Limaçon trisectrixis aname for the quartic plane curve that is a trisectrix that is specified as a limaçon0.90text
Limaçon trisectrixrelated to Inner loop trisectrix propertyThe0.60section
Limaçon trisectrixrelated to Inner loop trisectrix propertyHere0.60section
Limaçon trisectrixrelated to Inner loop trisectrix propertyCM0.60section
Limaçon trisectrixrelated to Inner loop trisectrix propertyIn Cartesian0.60section
Limaçon trisectrixrelated to Line segment trisection propertyThe0.60section
Limaçon trisectrixrelated to Line segment trisection propertySince0.60section
Limaçon trisectrixrelated to Relationship with the trisectrix hyperbolaGiven0.60section
Limaçon trisectrixrelated to Relationship with the trisectrix hyperbolaSee Hyperbola0.60section
Limaçon trisectrixrelated to Specification and loop structureThe0.60section
Limaçon trisectrixrelated to Trisection propertiesThe0.60section
Limaçon trisectrixrelated to Trisection propertiesTheoretically0.60section

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