共轭曲线

The numerical algorithm based on theories of projecting and Laguerre,such as homology,circular points and ω of absolute conic is established,an iterative elimination method is applied to boost the nonlinear problem solving.

通过调和射影及Laguerre定理的推论求解出平面圆环点的共轭虚像，利用平行六面体照片存在的三对圆环点的虚像，构造对无穷远平面绝对二次曲线的像ω的约束，使用辗转相除法求解非线性问题。

Input the equation and other related parameters of space curve of driving tine by the system interface, then the equation and other parameters of space curve of the conjugate driven tine could be given by automatic design and calculation in the system.

通过系统界面输入主动轮钩杆的空间曲线方程及其他有关参数，此系统可以自动设计计算得到与其共轭的从动轮钩杆的空间曲线方程及其他参数。

Secondly, it analyses the line type between stator and rotor of PDM, gets its derivation bone line equation that satisfies the motor conjugate line type of theoretical sealing and the equation of curved surface, and determines its basic processing method and technology according to the line type characteristic of the spiral curve through analyzing some kinds of typical spiral curve processing methods.

其次，对螺杆钻具定子与转子进行线型分析，推导出其满足理论密封性的马达共轭线型的骨线方程和曲面方程，根据螺杆钻具定子内孔螺旋曲线的线型特点，在分析了几种典型的加工螺旋曲线加工方法的基础上，确定了其基本的加工方法和工艺。

Longitudinal magnification describes the longitudinal conjugated property of ideal optical system ,on mathematic form,it is the slope of the imaging curve.

纵向放大率描述理想光具组的纵向共轭性质，在数学形式上是物象曲线的斜率，从纵向放大率的定义出发，结合物像曲线，分析了理想光具组的纵向共轭规律，并举例说明其实际应用。

Using the relations between harmonic conjugation elements,we can determine the relations between polar point and polar line more widely.

度量几何中圆的切割线之间所确定的数量关系，推广到射影几何里一般二次曲线中，利用调和共轭元素之间的关系，更广泛地确定了极与极线的相互关系，着重介绍了二次曲线的度量性质与射影性质的内在联系。

According to the theory of Sagnac FourierTransform spectrometer, the method which we used to reconstruct the spectrum correctly from the captured interferogram was developed. With the steps of trend term correction, apodisation, phase correction and conjugate symmetrization applied to the interferogram captured and then reconstructed it, the error was avoid.The experiment to reconstruct the spectrum of monochromatic light source such as Helium lamp used in the developed prototype was carried out. The results agree with the nominal spectrum distibutions of the sources with the accuracy of 4nm.

介绍了Sagnac型干涉成像光谱仪基本原理，针对上述问题得到一套对采集得到的干涉图进行光谱重构的方法，通过对所采集干涉图进行消趋势项、切趾、相位校正、共轭对称化等步骤的处理，再进行重构，即可有效避免直接重构所带来的误差，使用所研制的原理样机对氦灯等单色光源进行光谱曲线重构实验，得到的光谱强度分布曲线与标称曲线基本吻合，光谱复原精度达到了4nm，具有较好的重构效果。

Theory; the spatial meshing theory includes comparative motion, comparative differential and conjugative curved surface; and the application of meshing theory includes gear drive and worm drive. The spatial meshing theory is the main part of the course.

课程的重点讲解内容有曲线的参数方程、切线、法面、弧长、曲率、空间曲线的基本公式、挠率及平面曲线的基本公式等；曲面第一和第二基本公式，法曲率、主方向和主曲率、欧拉公式、短程挠率、欧拉公式和贝特朗公式推广、相对法曲率和相对短程挠率等；刚体的绝对和相对运动速度、相对微分和绝对微分、相对速度和相对微分、轨迹曲面的法曲率和短程挠率等；空间共轭曲面的啮合条件、诱导法曲率、两类界限点、等距共轭曲面、空间啮合的二次接触原理等；蜗杆传动的数学模型建立及啮合特性分析方法等。

In this paper, a new method called"piecewise cubic spline"for generating conjugating gear profiles is proposed. The relative formulas are derived and involutes'gear is analyzed by the use of this method.

首先，本文提出了&分段三次样条曲线法&产生共轭齿形的新方法，介绍了相应的公式，并以渐开线为对象作了算例验证。

The designing formula of roll shape with full contact complex curve has been obtained according to the principles associated with the conjugate geometrical relation between rolls and the billet in cross roll piercing for tubes.

本文介绍在钢管斜轧穿孔机中，利用轧辊和轧件存在着共轭几何关系的原则，导出全接触的复合曲线辊型的设计公式。

By the use of Circling cluster and Envlopment theory and flat surface sit-mark transformation theory, the chain wheel tooth equation of roller chain at high speed to match conjugage engagement is deduced.Establishing chain speed equation of roller chain at high speed,based on the analysis of the speed curves between roller chain at high speed and common roller chain,good drive of roller chain at high speed is verificated theoretically.By a example that move distance from transverse vibration between roller chain at high speed and common roller chain is contrasted,the accuracy of those theories that the paper brings up and higher functions of roller chain at high speed is proved.Finally, Establishing conjugage engagement line equation of roller chain at high speed and analyzing the complete engagement zone, the chain wheel tooth curve equation is studied at a higher degree. At the same time,the lack's place of the research result is pointed out.

依据高速滚子链设计要求与H_y-V_0齿形链的研究，阐述了滚子链传动实现准共轭啮合理论可能性；利用圆族包络法结合平面坐标变换理论推导出了满足共轭啮合的高速滚子链的链轮齿廓曲线；建立起高速滚子链链速方程，通过对高速滚子链与普通滚子链链速曲线的对比分析，从理论上验证了高速滚子链具有良好的传动性能；最后，建立起高速滚子链共轭啮合线方程，对其整个啮合区间进行了分析，进一步研究了链轮齿廓曲线方程，确定了主要参数的设计方法的问题，并同时指出了不足之处。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐