On the basis of the differential geometry, the geometrical theory of machining free form surface by cylindrical cutter in 5-axis NC machine tool is investigated.

• 从微分几何学的角度,探讨了在五坐标数控机床上采用圆柱形刀具线接触加工自由曲面的几何学原理,分析了刀具面与被加工曲面二阶密切的条件。