Revista mexicana de física E
Print version ISSN 1870-3542
An alternative approach to the properties of the tautochrone and brachistochrone curves is used to introduce a family of curves complying with relations where the time of descent is proportional to a fractional power of the height difference. These curves are classified acording with their symmetries. Further properties of these curves are studied.
Keywords : Analytical mechanics; Huygens's isochrone curve; Abel's mechanical problem.