Back to . . . 

Curve Bank Home

Brachistochrone Part I
Brachistochrone Part III
Brachistochrone Part IV

Curve Bank Index
 NCB logo
Equations for the Brachistochrone
Brachistochrone Part II
 The Equations and History
Graphing Calculator
A graphing calculator can
also animate the cycloid.
Equations of the Cycloid

History of the Brachistochrone

History of Brach cont

History of Brach cont. 2
(1
(1)  Note:  The crucial steps in this application of the Beltrami Identity are borrowed from the calculus of variations, an upper division undergraduate course.  This derivation applies the Euler-Lagrange formula and is available as  Brachistochrone Part IV.


Home button
 Index button
Other Brach links
Brachistochrone Part  III

Brachistochrone Part IV