Method for manufacturing quadric surface

摘要

A working tool having a linear working edge is secured to a tool holding arm which is rotatably arranged about a focus shaft extending in parallel with a Z axis and is slidable linearly in parallel with an XY plane. A workpiece is secured to a workpiece mounting member in such a manner that its center axis extends in an X' direction which is inclined by an angle ( pi /2- theta ) with respect to an X axis. A longitudinal direction of the working edge is inclined by the angle theta with respect to a line which is obtained by projecting a sliding direction of the tool holding arm. When the working tool and the workpiece are moved relative to each other, the workpiece is cut into a quadric surface in accordance with a quadric surface formed by the working edge as an envelope of tangents.