Abstract
It can be proved that the mechanics of three-dimensional cutting operations is based on the cutting operations with the straight cutting edge which is wider than the workpiece. In this case there are two cases of planing and turning. The difference of both originates from only whether the motion of a tool is linear or circular.
The author analyses at first the geometrical characteristics of such a planing tool, and points out that the geometrical characteristics should be the basis of three-dimensional cutting operations by obtaining the general formula of the specific cutting force. And after treating upon the plange-cut turning, the results will be extended to the general case, namely the convensional cut with a tool having both side-cutting edge and end-cutting edge.
In tie Part 1 only the geometrical characteristics of the foregoing planing tool is treated.
