Abstract: An improved roller bearing assembly of the type comprising an inner race having a cylindrical riding track; an outer race coaxial with the inner race, having an inner cylindrical riding track facing the outer riding track of the inner race; and a series of rollers mounted between the riding tracks. This roller bearing assembly is improved in that each of its rollers has at least two cylindrical riding surfaces of different radii, the cylindrical riding surface of longer radius exclusively contacting the outer race riding track while the cylindrical riding surface of smaller radii exclusively contacts the inner race riding track. The radius of the riding track of the outer race equals the sum of the radius of the riding track of the inner race plus the longer and smaller radii of the riding surfaces of one roller. The ratio of the radius of the riding track of the outer race over the radius of the riding track of the inner race equals the ratio of the longer radius over the shorter radius.