The Brachistochrone curve, derived from the Greek words "brachistos" (meaning shortest) and "chronos" (meaning time), represents the path along which a particle will descend between two points in the ...

Abstract: An evocative solution for the brachistochrone problem is presented by Euler-Lagrange equation. The solution of brachistochrone problem by variational approach i.e. Euler-Lagrange equation ...

In mathematics, a brachistochrone curve or “shortest time” curve is one on which a ball slides frictionlessly under the influence of a uniform gravitational field to a given end point in the shortest ...

Here is classic (and difficult) physics problem that poses an interesting question: Take two points in space, Point 1 and Point 2. What is the path from point 1 to 2 that a frictionless object could ...

The hypothesis is taken that the shape of a duck breast is as to shed water drops in minimum time. If a water drop is further assumed to be a frictionless bead, then analogy arises with the classic ...