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Centered trochoid

In geometry, a centered trochoid is the roulette formed by a circle rolling along another circle. That is, it is the path traced by a point attached to a circle as the circle rolls without slipping along a fixed circle. The term encompasses both epitrochoid and hypotrochoid. The center of this curve is defined to be the center of the fixed circle.

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CardioidHula hoopEllipseTusi-couple
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Terminology

F. Morley
1 related topics

Overview

GeometryRouletteEpitrochoidHypotrochoidComplex plane
6 related topics

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Map overview Semantic statistics

Centered trochoid

Nodes15
Edges14
Triples19
Avg. degree1.87
Density0.133333
Components1

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Centered trochoid

Top relations

related to References · 11
Centered trochoid → Centered, Curves, Curves Generated, Edwards, Epitrochoid, Handbook, Hypotrochoid, Peritrochoid, Rolling Circle, Their Properties, Trochoids
related to Terminology · 6
Centered trochoid → Centered, However, Morley, Most, The, Trochoidal
is a · 2
Centered trochoid → curve that can be parameterized in the complex plane by z, roulette formed by a circle rolling along another circle

Important terminology Word statistics

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Important terminology

displaystyle curve circle rolling trochoid omega centered roulette epitrochoid hypotrochoid case fixed two along 2r another point around radius path

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Centered trochoidis aroulette formed by a circle rolling along another circle0.90text
Centered trochoidis acurve that can be parameterized in the complex plane by z0.90text
Centered trochoidrelated to ReferencesCentered0.60section
Centered trochoidrelated to ReferencesEpitrochoid0.60section
Centered trochoidrelated to ReferencesHypotrochoid0.60section
Centered trochoidrelated to ReferencesPeritrochoid0.60section
Centered trochoidrelated to ReferencesHandbook0.60section
Centered trochoidrelated to ReferencesCurves0.60section
Centered trochoidrelated to ReferencesTheir Properties0.60section
Centered trochoidrelated to ReferencesEdwards0.60section
Centered trochoidrelated to ReferencesTrochoids0.60section
Centered trochoidrelated to ReferencesCurves Generated0.60section

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    Min side: 3
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