The parallel curves for (outward) offset of an ellipse
with semi-axis lengths and are given by

The plots above show ellipse parallel curves for ellipses with and 0.9.

Each parallel curve can be written as an octic algebraic curve in and .

The plot above shows a close-up for "inward" ellipse parallel curves. Talbot's curve resembles these curves.

## See also

Ellipse,

Parallel
Curves,

Talbot's Curve
## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Ellipse Parallel Curves."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EllipseParallelCurves.html

## Subject classifications