Euclid's Muse

your source for INTERACTIVE math apps

Cycloid is the Brachistochrone

Profile picture of Phil Todd

Phil Todd



The inverted cycloid is defined by rolling a circle below a horizontal line and tracing the locus of a point on its circumference.

You can see the definition by animating theta.

You can make the cycloid pass through point B by changing its radius.

Now press the Play button to watch the ball roll along the cycloid.  Compare its speed with a ball rolling down a straight line between A and B.

Tags: brachistochrone, cycloid, locus
thumb Open Fullscreen
Download App Link Embed
Paste this code into your webpage as html:

« Beat the Brachistochrone Tautochrone »

© Saltire Software Terms and Conditions