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Involute

An involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An example of the involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve.

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Overview

Involute of a parameterized curve

Properties of involutes

Examples

Application

Advanced semantic analysis

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Map overview Semantic statistics

Involute

Nodes40
Edges39
Triples30
Avg. degree1.95
Density0.05
Components1

How this topic connects Entity context

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Involute

Top relations

related to Cusps · 5
Involute → Barrow, Huygens, The, There, This
related to Application · 4
Involute → For, In, The, With
related to Involutes of a semicubic parabola · 4
Involute → Eliminating, Extending, From, The
related to Involute and evolute · 3
Involute → Between, The, Tractrix
related to Involutes of a catenary · 3
Involute → For, Hence, Thus
related to Involutes of a circle · 3
Involute → Evaluating, For, Hence
see also · 3
Involute → Envelope, EvoluteGoat, Scroll
is a · 2
Involute → original curve.It is generalized by the roulette family of curves, parabola.The other involutes are thus parallel curves of a parabola
related to Properties of involutes · 2
Involute → In, One
related to External links · 1
Involute → MathWorld

Important terminology Word statistics

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Important terminology

curve displaystyle involutes vec one evolute point circle parabola frac cycloid length tangent cos sin thus cusp order gear parametric

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Involuteis aoriginal curve.It is generalized by the roulette family of curves0.90text
Involuteis aparabola.The other involutes are thus parallel curves of a parabola0.90text
Involuterelated to ApplicationThe0.60section
Involuterelated to ApplicationIn0.60section
Involuterelated to ApplicationWith0.60section
Involuterelated to ApplicationFor0.60section
Involuterelated to CuspsThis0.60section
Involuterelated to CuspsHuygens0.60section
Involuterelated to CuspsBarrow0.60section
Involuterelated to CuspsThere0.60section
Involuterelated to CuspsThe0.60section
Involuterelated to External linksMathWorld0.60section

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    Min side: 3
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