Function Repository Resource:

# ParallelCurve

Compute parallel (offset) curves

Contributed by: Wolfram Staff (original content by Alfred Gray)
 ResourceFunction["ParallelCurve"][c,dis,t] computes a parallel curve with a displacement dis from a given curve c with parameter t.

## Details and Options

Parallel curves (also called offset curves) are curves that are displaced from a given curve by a real constant value, sharing the same direction of the original curve’s normal.
The parameter provided for the input curve is used as the parameter for the resulting parallel curve.

## Examples

### Basic Examples (2)

One parallel curve of an ellipse:

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Plot a variety of the ellipse's parallel curves:

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Define a limaçon:

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Plot a variety of the limaçon's parallel curves:

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### Applications (1)

Create a design using the parallel curves of a trifolium:

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Enrique Zeleny

## Version History

• 1.0.0 – 24 February 2020