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The cylinder boxes for the subassemblies of each instrument are set up, and the early warning algorithm for collision of the instruments based on the projection plane is proposed according to the theory that the axes of the two boxes have the common perpendicular line.

建立了机器人手术器械组件的圆柱体包装盒，根据两个圆柱体包装盒的轴线段所在直线必定存在公垂线的原理，提出了基于投影面的机器人手术器械碰撞预警算法。

It is important to machine gyration accuracy that include depth of parallelism of turntable two axes、concentricity、orthogonality.

分别讨论了转台U型框架两端轴的平行性、同心度及转台内外框轴正交度对检测跟踪器精度的影响。

It is determined that the pitch cone of honing wheel depends on the number of teeth in the honing wheel and the angle between the common normal of pitch cones and the plane parallel to both gear and honing wheel axes.

论文摘要：分析了基于交错轴传动的珩齿原理，导出珩磨轮与被珩齿轮在啮合点处的相对滑动速度的数学模型，根据该数学模型可以判定，珩磨轮的节锥面由珩磨轮齿数以及公法线和与珩磨轮及被珩磨齿轮的轴线平行的平面的夹角两个参数所确定。

Analyzing the honing principle of spiral bevel gears based on crossing-axis transmission, the mathematical model of the relative sliding speed of the contact point between honing wheel and gear is achieved. It is determined that the pitch cone of honing wheel depends on the number of teeth in the honing wheel and the angle between the common normal of pitch cones and the plane parallel to both gear and honing wheel axes.

分析了基于交错轴传动的珩齿原理，导出珩磨轮与被珩齿轮在啮合点处的相对滑动速度的数学模型，根据该数学模型可以判定珩磨轮的节锥面是由珩磨轮齿数、公法线和与珩磨轮轴线平行的平面夹角所确定。

There a positive axes equal angle conic projection program.

用VC编写正轴等角割圆锥投影源程序的设计。

Another new spatial 3-RPS parallel pyramid manipulator mechanism is studied. The principal screws of this mechanism under three different configurations are identified by means of the conic section and the quadric degenerating theory, respectively. The planar conics representing the relations between the pitches of the output twists and the three linear inputs are described, and the three-dimensional distribution of the axes of all the twists with the same pitch is illustrated under each of the configurations.

研究了另一种新的空间三自由度3-RPS并联角台机构，分别用二次曲线和二次曲面分解法识别该机构在三种位形下的主螺旋，绘制了其在每种位形下的输出运动螺旋的节距与输入之间的平面图以及具有相同节距的所有运动螺旋轴线在每种位形下的空间分布的立体图。

Secondly, based on the research of the fabric"s contexture characteristic, the author puts forward using the convex shape as yarn"s section, builds the yarns dimensional geometry model and axes equation of warp and weft. Establishes the illumination model which is fit for fabric with illumination theory.

在研究织物组织模拟的基础上，提出以凸透镜形作为纱线截面，建立了相应的纱线空间几何模型和经、纬纱轴线方程；利用光照理论，结合织物的特点，建立了适用于织物的光照模型。

The invention is a rotary image-free 45-degree scan optical system, and it includes a 45-degree scanning mirror, double-reflecting optical converging primary system, K mirror rotary image eliminating system and after optical system, where the rotary axis of the 45-degree scanning mirror coincides with the optical axes of the other three systems, composing its optical axis.

一种无像旋的45°镜扫描光学系统，该系统包括45°扫描镜、双反射光学会聚主系统、K镜消像旋系统和后光学系统，45°扫描镜的旋转轴与双反射光学会聚主系统、K镜消像旋系统和后光学系统的光轴重合，构成本光学系统的光轴。

Two algorithms are presented for determining the medial axes of a convex polygon and an arbitrary simple polygon.

提出确定凸多边形中轴和任意简单多边形中轴两个算法。

The subtree contains elements for designating a rotation scheme used to position the X and Y axes of the new coordinate system in the plane of the screen, just as you do in Pro/ENGINEER.

在屏幕平面里的新坐标系的 X 和 Y 轴旋转和放置的设计包含在子树元素里，就象你在 Pro/ENGINEER 里做的一样。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。