Parallel Machine Tool; CAD Variation Geometry; Euler Angle; Kinematics; Statics; Free-form Surface; Forward position.
并联机床；CAD变量几何；欧拉角；运动学；静力学；自由曲面；位置正解。
Traditionally, contact measurement or simple non contact measurement based on coordinate measuring machine are used for the measurement of free form surface with high accuracy.
精确测量空间自由曲面的传统方法是采用三坐标测量机的接触测量或简单的非接触测量，这些测量方法存在工作效率低、自动化程度低等缺点。
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。
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。
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