Rolling a Circle on a Parabola

A single fixed point on a circle creates a path as the circle rolls without slipping on the inside of a parabola. This path is an example of a type of curve called a roulette. When a circle rolls along a straight line the path is called a cycloid, so the one shown here might be called a parabolic cycloid.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.