Indexable insert has a non-rectangular parallelogram shape with nearly rhombic basic shape and an imaginary intermediate plane spanned by four corners of an imaginary rhombus with sides running at a distance away from the upper side and the underside along the peripheral lateral surface in a plane such that each equivalent cutting edge has the same variation of distance and angle from the intermediate plane. Two diagonally opposing corners of both the upper side and the underside each have a greater distance from the intermediate plane than do the respective diagonally opposing corners of the upper side and the underside lying therebetween, and the diagonally opposing corners of the upper side and of the underside are shifted parallel to the intermediate plane and, as viewed in a plan view onto the intermediate plane, in mutually opposite directions away from the associated diagonals of the rhombus spanning the intermediate plane.

A cutting insert of the present invention comprises: an upper surface and a lower surface; first and second lateral surfaces; first and second cutting edge parts; and corner cutting edges, wherein the first cutting edge part includes: a first main cutting edge for forming one end at a portion spaced farthest away from the corner cutting edge; a first sub-cutting edge connected to the corner cutting edge; and a first auxiliary cutting edge for connecting the first main cutting edge and the first sub-cutting edge so as to form a step between the same, and the first sub-cutting edge and the corner cutting edge form one straight line when viewed toward the first lateral surface, and are inclined upward in the direction opposite to the direction toward the lower surface while gradually going in the direction toward the second cutting edge part.

Disclosed is a radius end mill equipped with end cutting edges formed such that rotational locus thereof around an axial line draw a protruded curved face. That is, the protruded curved face is formed so as to have a protruded curved face where a curvature radius in an inner portion located closer to an axial line side than a tip outer-peripheral side of an end mill body is greater than a curvature radius on the tip outer-peripheral side, in a sectional view along the axial line. A gash depth angle θ(°) calculated by θ=tan.sup.−1 (A/B) on the basis of a distance A in an axial direction from a protruded end of an end cutting edge to a most-posterior end of a gash and a radius B from the axial line to a contact point between a peripheral cutting edge and the end cutting edge is set to be 50° or less.

A cutting insert has opposing first and second end surfaces, and a peripheral side surface (connecting the end surfaces. A central axis penetrates the two end surfaces. The peripheral sure surface includes an outwardly inclined first side surface part related to a major cutting edge and a second side surface part related to a minor cutting edge. The outwardly inclined first side surface part gradually extends outward from the cutting insert, heading from the first end surface to the second end surface. When a second virtual plane, which is substantially perpendicular to the central axis and passes through the major cutting edge, is defined, an inwardly inclined part, on a back side of the cutting edge, of the second end surface is inclined so as to become more distant from the second virtual plane, heading from the outwardly inclined first side surface part to the central axis.

Ceramic end mill with cutting edge portion including gashes between cutting edges and adjacent in a rotation direction. Center cut edges are formed at end cutting edges close to and facing rotation axis O. Center grooves are formed on rear sides of center cut edges and end cutting edges in the rotation direction continuous with a radial direction. The center grooves are continuous with positions where end cutting edge second surfaces face or approach rotation axis O. End cutting edge second surfaces are laid between center cut edges and end cutting edges. Center grooves are formed between end cutting edge second surfaces and center cut edges positioned on a rear side of end cutting edge second surfaces in the rotation direction. The center grooves pass on rotation axis O. Center grooves double as rake faces of the respective center cut edges and are continuous with the gashes.

A cutting tool includes: a body extending along a longitudinal axis between a leading and trailing ends, the body having a clamping region disposed at or about the trailing end and a cutting region which extends toward the clamping region from the leading end of the body; a plurality of flutes defined in the body, each extending from the leading end toward the coupling portion; a plurality of peripheral cutting edges, each extending from the leading end toward the coupling portion along a corresponding flute of the plurality of flutes; and a plurality of end cutting edges disposed at the leading end, each end cutting edge extending from at or near the longitudinal axis outward along a corresponding flute. At least one end cutting edge is defined, in-part, by a plurality of rake faces which each extend from a corresponding portion of the one cutting edge into the corresponding flute.

A cutting insert includes: two opposite end surfaces; a peripheral side surface extending between the end surfaces; and plural cutting edge sections that are formed along an intersecting ridgeline portion between the peripheral side surface and each of the end surfaces. Each of the cutting edge sections includes a corner cutting edge, a major cutting edge, and a minor cutting edge. A non-cutting intersecting ridgeline area extending between adjacent cutting edge sections on one end surface is located adjacent, via the peripheral side surface, to at least a part of the corner cutting edge and the major cutting edge of an associating cutting edge section on the other end surface.

A face milling tool includes a tool body having a central rotation axis around which the tool is rotatable, and at least one insert seat formed in a transition between a front end and an envelope surface of the tool. The tool further includes at least one cutting insert mounted in the insert seat, the cutting insert having an upper side defining an upper extension plane, a cutting edge extending around the circumference of the upper side, and a lower side defining a lower extension plane directed towards the bottom support surface of the insert seat. A center axis extends perpendicularly through the upper and the lower extension planes. The tool is configured such that a main cutting edge portion is at an entering angle κ smaller than 80° and such that the upper extension plane is at a radial tipping-in angle −60°≦γ.sub.f≦−25° and at an axial tipping-in angle −20°≦γ.sub.m≦0°, such that an angle of inclination λ of the main cutting edge portion is within the range 15°≦λ≦50°.

A cutting insert has an upper surface, a lower surface, a side surface connecting the upper and lower surfaces. An intersecting edge between the upper surface and the side surface is provided with a cutting edge. The cutting edge has, in order, a second major cutting edge, a first major cutting edge, a corner cutting edge connected to these major cutting edges, and a flat cutting edge. An obtuse interior first angle (θ) is formed by the second and first major cutting edges. A interior second angle (α) formed by the flat cutting edge and the first major cutting edge is larger than an interior third angle (β) formed by the flat cutting edge and the second major cutting edge. A land is provided adjacent to the first major cutting edge, a width of the land increasing toward the first corner cutting edge.

Rotatable, solid cutting tool with both right-hand spirals and left-hand spirals, each of which includes an interrupted cutting edge having individual cutting edges. Individual cutting edges of the right hand spirals are axially staggered helically around a circumference of a cutting portion with respect to individual cutting edges of the left hand spirals so that, at each axial position along an axial length of the cutting portion, each radial cross-section includes both at least one individual cutting edge on a right hand spiral and at least one individual cutting edge on a left hand spiral. Individual cutting edges have a length along an outer circumference of the cutting tool that is the same for individual cutting edges of the right hand spiral and individual cutting edges of the left hand spirals. Cutting edges on differently handed spirals are both right handed cutting edges or both left handed cutting edges.