平面曲线

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。

On depending on author's perception of teaching 《analytical geometry》,raising a warning about the phenomenon of student's neglect of the use of vector in exercise,this essay elucidate the preponderance of vector in solving problems about space.

在中学，解析几何课程主要研究平面上一些点、线的几何位置和几何性质，所涉及的点、直线、曲线均共面，它们都落在坐标系所在的平面内。

The relationship between inter-story torsion angle and torsion deformation ratio is deduced base on the rule of irregular plan structures in China tall building technical specification. Considering the inter-story ratio limitation of different performance levels under different earthquake hazard levels, a series of torsion angle demand curves are established and a new method named as Torsion Angle Capacity Spectrum is put forward for the PBSD of irregular plan frame structures.

从现行规范对平面不规则结构的限制条件出发，推导出了结构层间扭转角与扭转位移比的关系式，结合框架结构在不同性能水平下的层间侧移角限值，建立了平面不规则框架结构在不同地震作用水平下的扭转角需求曲线，提出了扭转角能力谱法。

There are fourteen chapters, including introduction, plane stress and plane strain, two-dimensional problems in rectangular coordinates, two-dimensional problems in polar coordinates, photoelastic and moire experimental methods, two-dimensional problems in curvilinear coordinates, analysis of stress and strain in three dimensions, general theorems, torsion, bending of bars, axisymmetric stress and deformation in a solid of revolution, thermal stress, the propagation of waves in elastic solid media, at last there is an appendix on the application of finite-difference equations in elasticity.

全书共十四章，包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播，最后有一附录，讲述差分方程在弹性理论中的应用。

At the same time, exaggeratedly apply new materials and new techniques and workmanships such as exaggeration, distortion, rupture and refraction.

平面构图自由度大，室内夸张地运用新型材料及现代加工工艺的细致与光亮效果，常常采用夸张、变形、断裂、折射、扭曲等手法，打破横平竖直的室内空间造型，运用抽象的图案及波形曲线、曲面和直线、平面的组合，取得独特效果。

In this paper,a rational approximation method of the norm of parametric speed is given,which is more effective than the polynomial approximation.

文章根据等距曲线逼近的关键在于对其参数速度模的逼近，提出了对参数速度模有理逼近的2种形式，在此基础上给出了平面Bézier曲线等距曲线的逼近函数和误差估计函数，并导出了保持法矢平移方向的代数方式的等距有理逼近算法。

Set up a child in a plane curve walk along this curve by the time parameter curve.

详细说明：设一个小孩在平面上沿着某曲线行走，此曲线由时间参数曲线确定。

Set up a child in a plane curve walk along this curve by the time parameter curve....

设一个小孩在平面上沿着某曲线行走，此曲线由时间参数曲线确定。

In part 5, writing the procedure to test the MTF of Infrared detector, protracting the coordinate of MTF_Frequency and the single cell Infrared detector curve of MTF_Frequency; sampling the data of the second-generation Infrared detector are the main jobs.

第五章编写了IRFPA MTF测试过程软件，介绍了288×4红外焦平面阵列探测器的信号采集。绘制了刀口响应曲线及其微分曲线和系统的MTF曲线并对它们进行了分析。

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。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了