Method for manufacturing machine component, apparatus for manufacturing machine component, method for machining rotation symmetry plane, recording medium, and program

A method for manufacturing a machine component having a rotation symmetry plane defined by a ridgeline inclined at an angle greater than 0° and smaller than 90° with respect to an axial line of rotation, the method comprising:

• in a three-dimensional orthogonal coordinate system in which the axial line of rotation of the rotation symmetry plane is defined as a Z axis, an axis in a radial direction of the rotation symmetry plane is defined as an X axis, and an axis orthogonal to both of the Z axis and the X axis is defined as a Y axis, positioning a linear cutting edge inclined at an angle greater than 0° and smaller than 90° with respect to the Z axis at a cutting start position displaced from a position on the X axis along a direction of the Y axis;
• and
• machining the rotation symmetry plane by feeding the cutting edge from the cutting start position along a track having an X axis component, a Y axis component, and a Z axis component while the cutting edge is in contact with the rotating machine component.