Mechanically operated tools, in particular tools for machine tools, namely, cutting tools with firmly connected or interchangeable cutting edges of hard-cutting materials, namely, reaming tools, drilling, boring, counter boring and deburring tools combined with reaming tools, reaming tools with fixed and adjustable diameters; accessories for mechanically operated tools, namely cutting inserts, indexable inserts, cutting rings and cutting heads of hard cutting materials; mechanical equipment and devices as accessories for machine tools for regrinding or resharpening, mounting, measuring and setting reaming tools, cutting edges, cutting rings and one-way heads, namely, grinders, or resharpeners; parts for machine tools, namely, tool holders or adapters for mechanically operated tools, namely spindle attachment flanges, taper shanks, chucks, extension parts and reducing pieces for tools, aligning holders with adjustable concentricity, floating holders for alignment and angular compensation.