Method for manufacturing mechanical components, manufacturing device for mechanical components, processing method for rotating symmetrical surface, and recording medium and program

This method for manufacturing mechanical components includes: a step of determining a track of a cutting blade; and a step of feeding the cutting blade along the track. The step of determining the track includes a step of calculating coordinates (X(t), Y(t), Z(t)) of a first end portion of the cutting blade using a variable t taking (N+1) values of 0-1 according to the equations of X(t)=(R sh (t)cosφ(t)-X chip (t)), Y(t)=(R sh (t)sinφ(t)-Y chip (t)), and Z(t)=(Z sh (t)-Z chip (t)), where φ(t) is the angle between a straight line connecting a cutting point projected onto the XY-plane and the origin of the XY-plane and the X-axis, and φ(t) satisfies the condition of [mathematical equation 1].