Parallel Curve
A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel lines. It can also be defined as a curve whose points are at a fixed normal distance of a given curve.
It is sometimes called the offset curve but the term "offset" often refers also to translation. The term "offset curve" is used, e.g., in numerically controlled machining (and in other computer graphics applications), where it describes the shape of the cut made by a round cutting piece, which is "offset" from the trajectory of the cutter by a constant distance in the direction normal to the cutter trajectory at every point.
A curve that is a parallel of itself is autoparallel. The involute of a circle is an example.
Read more about Parallel Curve: Alternative Definitions, Parametric Curve, Geometric Properties, Self-parallel Spirals
Famous quotes containing the words parallel and/or curve:
“The beginnings of altruism can be seen in children as early as the age of two. How then can we be so concerned that they count by the age of three, read by four, and walk with their hands across the overhead parallel bars by five, and not be concerned that they act with kindness to others?”
—Neil Kurshan (20th century)
“And out again I curve and flow
To join the brimming river,
For men may come and men may go,
But I go on forever.”
—Alfred Tennyson (1809–1892)