Function Repository Resource:

Compute the radius of aberrancy of a plane curve

Contributed by: Jan Mangaldan
 ResourceFunction["RadiusOfAberrancy"][c,t] computes the radius of aberrancy of the plane curve c parametrized by variable t.

## Details

The radius of aberrancy of a plane curve at a given point is defined as the signed distance between the point and its corresponding center of aberrancy.

## Examples

### Basic Examples (3)

Compute the radius of aberrancy for a curve:

 In[1]:=
 Out[1]=

Compute the radius of aberrancy for several curves:

 In[2]:=
 Out[2]=

Compute the radius of aberrancy of a curve in polar coordinates:

 In[3]:=
 Out[3]=

### Properties and Relations (3)

The radius of aberrancy of a curve at a given point is the signed distance between that point and its corresponding center of aberrancy:

 In[4]:=
 Out[4]=

The radius of aberrancy of a curve involves third and fourth derivatives:

 In[5]:=
 Out[5]=

The radius of aberrancy is related to the aberrancy and the tangential angle:

 In[6]:=
 Out[6]=

## Version History

• 1.0.0 – 04 March 2021