brachistochrone curve (static model)

3D Model

The brachistochrone curve (from Ancient Greek ‘brachistos’, ‘shortest’ and ‘chronos’, ‘time’) or curve of fastest descent, is the one between a start point A and a lower finish point B, where B is not directly below A, on which a ball moves frictionlessly to the finish in the shortest time. The problem was posed by Johann Bernoulli in 1696.