Abstract: A cutting insert for machining has a substantially cylindrical main body with an axis, a lateral flank and opposing rake faces. Cutting edges are formed at the intersection of the flank and rake faces. The cutting edges have, in the direction of the axis, in each case at least two convexly curved sections which are connected together by concavely curved or substantially straight sections.

Abstract: A cutting insert for machining has a substantially cylindrical main body with an axis, a lateral flank and opposing rake faces. Cutting edges are formed at the intersection of the flank and rake faces. The cutting edges have, in the direction of the axis, in each case at least two convexly curved sections which are connected together by concavely curved or substantially straight sections.

Abstract: A milling tool has a cutting edge geometry with a main cutting edge, a cutting corner, optionally with a bordering planar cutting edge segment, and a secondary cutting edge. The tool is used for milling to achieve the smoothest level surface possible parallel to the rotational axis of the milling tool. Each main cutting edge is formed to result in a generatrix of the envelope curve described by the rotation of the milling tool that has a first outwardly curving segment and a second inwardly curving segment. The first segment increases in its distance from the rotational axis from the beginning of the segment to the end of the segment. The distance of the second segment decreases from its beginning towards its end. The tangents at each point of the second segment encompass an angle ?2 of more than 0° and up to 3° with a parallel to the rotational axis.