A cutting member comprising a cutting edge (S1,S2,Si) defining a cutting envelope and configured for removing material from a workpiece leaving therein a corner of angle α. The cutting edge comprises a first cutting segment (S1) and a second cutting segment (S2) spaced from the first cutting segment (S2). Respective first and second imaginary tangents (T1,T2) of the first and second cutting segments (S1,S2) intersect one another at point O located outside the cutting envelope, forming an angle corresponding to angle α, thereby defining a cutting frame at least a portion of which extends beyond the cutting envelope. The cutting edge further comprises an adjoining cutting segment (Si), extending between and bridging the first cutting segment (S1) and the second cutting segment (S2), and at least partially contained within the cutting frame. The cutting member further comprises at least one auxiliary cutting element (AT1,AT2) comprising an auxiliary cutting edge (CE′,CE″) extending generally along one of the imaginary tangents (T1,T2) and beyond the cutting envelope. The auxiliary cutting edge (CE′,CE″) does not intersect the other of the imaginary tangents (CE″,CE′) and/or a bisector (B) of the angle α.