研究得到了利用三维CAD 软件建立斜交轴线齿轮主、从动线齿精确几何模型的条件，即线齿曲面中任一截面都垂直于其接触线; 据此修正了从动线齿中心线方程，进而
推导得到了斜交轴线齿轮主、从动线齿曲面方程． 应用三维CAD 软件对线齿轮进行几何建模和运动学仿真，仿真结果证明了文中提出的线齿几何设计方法的正确性． 文中提出的线齿曲面精确几何模型构建方法为线齿轮弹流润滑理论研究打下了几何学基础．

In order to construct a precise geometric model of the driving and driven teeth of arbitrary intersecting line gear ( LG) by using the 3D CAD software,the construction condition is discussed and obtained,which is that each of the cross-sections of the line teeth should be perpendicular to the corresponding contact line.Under this condition,the equation of the driven center curve is corrected,and then the profile equations of the driving and driven line teeth of arbitrary intersecting LG are deduced.Then,by using the 3D CAD software,a geometrical model of the LG is constructed,and a kinematical simulation is accomplished.The results prove the correctness of the proposed design method for the LG teeth profile.This method provides a geometric basis for the research on the elastic hydrodynamic lubrication theory of line gears.