powered by Google (TM)
index: click on a letter
A B C D E
F G H  I  J
K L M N O
P Q R S T
U V W X Y
Z A to Z index
index: subject areas
numbers & symbols
sets, logic, proofs
geometry
algebra
trigonometry
advanced algebra
& pre-calculus
calculus
advanced topics
probability &
statistics
real world
applications
multimedia
entries
about mathwords  
website feedback  


Tautochrone

A cycloid hanging downwards.

Note: Tautochrone is a term from Greek meaning "the same time." The special property of a tautochrone is the fact that a bead sliding down a tautochrone-shaped frictionless wire will take the same amount of time to reach the bottom no matter how high or low the release point. In fact, since a tautochrone is also a brachistochrone, the bead will take the shortest possible time to reach the bottom out of all possible shapes of the wire.

 

Movie clip


Tautochrone--sliding
beads on a cycloid

(257K)

 

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes