Abstract: A razor blade arrangement is provided, wherein the razor blade is supported for movement between concave and convex configurations. The razor blade is mounted in a cartridge which holds the blade flexed in convex configuration. The blade is so mounted in the cartridge and the cartridge is so mounted on a handle, that the cartridge-blade assembly may be flexed upon an application of a force on the face thereof. The cartridge-blade assembly is detachably mounted on the handle. The blade is mounted in the cartridge so as to permit relative longitudinal displacement between the blade and cartridge. This movement is afforded by means of providing elongated holes in the blade, which are engaged by pins or pegs forming part of the cartridge. The method of the invention comprises flexing a razor blade between convex and concave shapes in correspondence with the surface to be shaved. The blade is actually flexible in the order of magnitude of about one-eighth of an inch.