Turning tool kit and cutting insert therefor

A turning tool kit for turning operations, comprising

• a tool body including a front end, a rear end, central axis extending from the front end to the rear end, and a seat arranged for accommodating a cutting insert;
• and
• at least a first cutting insert and a second cutting insert, each cutting insert being selectively arrangeable in the seat, wherein each of the first and the second cutting inserts includes
• a first side and a second side arranged opposite each other and facing opposite directions,
• a peripheral surface connecting the first side and the second side, and
• at least two cutting edges, each cutting edge being arranged at an intersection between the first side and the peripheral surface and including a nose cutting edge separating and connecting a forward cutting edge and a rearward cutting edge,
• wherein the forward cutting edge of each of the at least two cutting edges on the first cutting insert, when seen in a plan view of the first side of the first cutting insert, forms a first acute angle to the respective rearward cutting edge, and wherein the forward cutting edge of each of the at least two cutting edges on the second cutting insert, when seen in a plan view of the first side of the second cutting insert, forms a second acute angle to the respective rearward cutting edge wherein the second acute angle is greater than the first acute angle, and wherein the forward cutting edge of each of the at least two cutting edges on the second cutting insert transitions into an auxiliary non-cutting edge that, when seen in a plan view of the first side of the second cutting insert, forms an angle to the respective rearward cutting edge that is the same, or substantially the same, as the first acute angle.