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Parallel curve

A parallel curve of a given (progenitor) curve is the envelope of a family of congruent (equal-radius) circles centered on the curve. It generalises the concept of parallel (straight) lines. It can also be defined as a curve whose points are at a constant normal distance from a given curve. These two definitions are not entirely equivalent as the latter…

Overview, Generalizations & Parallel curve of a parametrically given curve

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Overview

CurveEnvelopeCongruentCircleParallel lines
34 related topics

Generalizations

Pipe surfacesGeodesicMETAFONTAdobe IllustratorCS5
6 related topics

Parallel curve of a parametrically given curve

Osculating circlesMinkowski sumSquare rootPythagorean hodograph curves
4 related topics

Parallel curves of an implicit curve

Implicit curvesParabolasOriented distance functionLevel set
4 related topics

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Overview

Parallel curve of a parametrically given curve

Geometric properties

Parallel curves of an implicit curve

Further examples

Parallel curve to a curve with a corner

Algorithms

Generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Parallel curve

Nodes66
Edges65
Triples42
Avg. degree1.97
Density0.030303
Components1

How this topic connects Entity context

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Parallel curve

Top relations

related to Algorithms · 14
Parallel curve → Another, Any, Bruckstein, Bézier, Elber, Hanson, In, JavaScript, Kim, Kimmel, Lee, September, Thus, Tiller
related to Geometric properties · 6
Parallel curve → As, If, Minkowski, Source, These, When
related to Parallel curves of an implicit curve · 6
Parallel curve → Another, Considering, For, In, Not, Pythagorean
related to Parallel (offset) surfaces · 5
Parallel curve → Distance, If, In, Offset, One
related to External links · 3
Parallel curve → MathWorldVisual Dictionary, Parallel, Plane Curves Xah Lee
related to Further examples · 3
Parallel curve → And, For, The
related to Parallel curve to a curve with a corner · 3
Parallel curve → As, Even, When
related to Parallel curve of a parametrically given curve · 2
Parallel curve → If, In

Important terminology Word statistics

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Important terminology

parallel curve curves displaystyle offset vec general surfaces distance normal shape offsets curvature given surface quad also representation may progenitor

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Parallel curverelated to AlgorithmsIn0.60section
Parallel curverelated to AlgorithmsBézier0.60section
Parallel curverelated to AlgorithmsTiller0.60section
Parallel curverelated to AlgorithmsHanson0.60section
Parallel curverelated to AlgorithmsThus0.60section
Parallel curverelated to AlgorithmsAny0.60section
Parallel curverelated to AlgorithmsElber0.60section
Parallel curverelated to AlgorithmsLee0.60section
Parallel curverelated to AlgorithmsKim0.60section
Parallel curverelated to AlgorithmsJavaScript0.60section
Parallel curverelated to AlgorithmsSeptember0.60section
Parallel curverelated to AlgorithmsAnother0.60section

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