pendulum property

pendulum property

[′pen·jə·ləm ‚präp·ərd·ē]
(mathematics)
The property of a cycloid that, if a simple pendulum is hung from a cusp and made to swing between two branches, and if the length of the pendulum equals the length of the cycloid between successive cusps, then the period of the pendulum's oscillation does not depend on its amplitude, and the end of the pendulum traces out another cycloid.