A cutting insert has an upper surface (21), a lower surface (91) and a side surface (61) that connects the two surfaces. A cutting edge is formed at an intersecting edge between the upper surface (21) and the side surface (61). The cutting edge includes at least a major cutting edge (33), a corner edge (34) connected to the major cutting edge (33), and a curved wiper edge (35) located on the opposite side of the major cutting edge (33) across the corner edge (34). A first angle made by the major cutting edge (33) and the chord of the wiper edge (35) is 155<180, and a positive land is formed in the wiper edge (35). The cutting edge may further include an inner cutting edge (36) located on an opposite side of the corner edge (34) across the wiper edge (35).

A ridgeline between the top surface and the side surface includes: a nose cutting edge portion having a curved line shape, the nose cutting edge portion having a first end and a second end opposite to the first end; a major cutting edge portion contiguous to the first end; and a wiper cutting edge portion contiguous to the second end. The top surface includes: a first rake face contiguous to the wiper cutting edge portion; a second rake face contiguous to the major cutting edge portion; and a third rake face contiguous to the nose cutting edge portion and contiguous to each of the first rake face and the second rake face. A boundary line between the second rake face and the third rake face is separated from the first end and is contiguous to the major cutting edge portion.

A cutting insert has an insert major body which includes two hexagonal faces facing each other and six side faces arranged around the two hexagonal faces, and is rotationally symmetrical at 120 intervals about an insert center line passing through centers of the two hexagonal faces and inversely symmetrical in front and back with respect to the two hexagonal faces, wherein a major cutting edge and an minor cutting edge are alternately formed in a circumferential direction in the single hexagonal face at twelve intersecting ridgeline portions at which the hexagonal faces and the side faces intersect, the major cutting edge is formed to be located at an intersecting ridgeline portion with one hexagonal face while the minor cutting edge is formed to be located at an intersecting ridgeline portion with the other hexagonal face at a single side face.

A cutting insert for a rotary cutting tool has a second surface that includes a second seating surface having a shape of a flat surface. The first cutting edge has a first main cutting edge portion and a first sub cutting edge portion. The second cutting edge has a second main cutting edge portion and a second sub cutting edge portion. When viewed in a direction from the first surface toward the second surface, at least a portion of the second sub cutting edge portion is located outside the first main cutting edge portion, and at least a portion of the first sub cutting edge portion is located outside the second main cutting edge portion. When viewed in the direction from the first surface toward the second surface, each of the first sub cutting edge portion and the second sub cutting edge portion has a shape of a curved line.

An indexable cutting insert for a milling tool includes an upper side defining an upper extension plane and a lower side defining a lower extension plane parallel to the upper extension plane. A side surface connects the upper side and the lower side, the side surface including a plurality of upper main clearance surfaces and secondary clearance surfaces. At least six identical and alternately usable upper cutting edges extend around the upper side. Each cutting edge has a chip removing main cutting edge portion and at least one secondary cutting edge portion. The main cutting edge portion is formed in a transition between the upper side and one of the upper main clearance surfaces. The secondary cutting edge portion is formed in a transition between the upper side and one of the secondary clearance surfaces between two main cutting edge portions. The upper main clearance surfaces are formed at an obtuse inner angle with respect to the upper extension plane as seen in side elevation view.

A cutting insert for a milling tool including an upper side having a central surface, a lower side, a peripheral side surface, and a cutting edge formed between the upper side and the peripheral side surface. The cutting edge having a positively inclined main cutting edge projecting at least partly above the central surface. The upper side includes a rake surface extending inside of and along the at least one cutting edge, sloping downward toward the central surface. A plateau, elevated with respect to the central surface and extending along the main cutting edge, is formed inside the rake surface. A transition between the rake surface and the plateau extends at an angle .sub.2 with respect to an upper extension plane, wherein .sub.2>0.

A cutting insert has an upper surface (21), a lower surface (91) and a side surface (61) that connects the two surfaces. A cutting edge is formed at an intersecting edge between the upper surface (21) and the side surface (61). The cutting edge includes at least a major cutting edge (33), a corner edge (34) connected to the major cutting edge (33), and a curved wiper edge (35) located on the opposite side of the major cutting edge (33) across the corner edge (34). A first angle made by the major cutting edge (33) and the chord of the wiper edge (35) is 155<180, and a positive land is formed in the wiper edge (35). The cutting edge may further include an inner cutting edge (36) located on an opposite side of the corner edge (34) across the wiper edge (35).