Function Repository Resource:

# ConchoidCurve

Compute a conchoid curve

Contributed by: Jan Mangaldan
 ResourceFunction["ConchoidCurve"][c,p,d] computes one branch of the conchoid of the curve c with respect to the fixed point p and distance d. ResourceFunction["ConchoidCurve"][c,p,d,-1] computes the other branch of the conchoid.

## Details

The conchoid of a curve with respect to a fixed point is the locus of points on a variable line passing through the fixed point and intersecting the curve, such that their distance from the intersection point is equal to a given distance d.

## Examples

### Basic Examples (2)

Conchoid of a circle:

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Plot one branch of the conchoid:

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Plot the other branch:

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Show both branches together:

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Find the implicit Cartesian equation of the conchoid:

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The conchoid of Nicomedes is the conchoid of a line with respect to the origin:

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## Version History

• 1.0.0 – 09 March 2021