Is there any deeper physical meaning in the fact that the curve between two points that takes shortest time to traverse given only constant gravitational force is identical1 to the curve where, no ...

# Deeper meaning in Brachistochrone and Tautochrone being the same curve? [duplicate]

Deeper meaning in Brachistochrone and Tautochrone being the same curve? [duplicate]

Is there any deeper physical meaning in the fact that the curve between two points that takes shortest time to traverse given only constant gravitational force is identical1 to the curve where, no ...

Is there any deeper physical meaning in the fact that the curve between two points that takes shortest time to traverse given only constant gravitational force is identical1 to the curve where, no ...