The Norwegian mathematician Niels Abel derived an equation for this curve by applying the principle of conservation of energy.
The Norwegian mathematician Niels Abel derived an equation for this curve by applying the principle of conservation of energy.* Jakob Bernoulli devised a formula for it in the paper Acta Eruditorum in which the term "integral" was first published. Christiaan Huygens proposed in 1659 that clock pendulums should swing in this special type of cycloidal arc, since the oscillation time is independent of the tip's position along the arc. FTP, name this U-shaped cycloid on which a particle rolls to the bottom in the same amount of time regardless of its starting point on the curve.
The Norwegian mathematician Niels Abel derived an equation for this curve by applying the principle of conservation of energy.
Tautochrone Curve or Isochrone Curve