相交

At the point at which that line intersects the ellipse, windows begins drawing an arc in a counterclockwise direction around the circumference of the ellipse. windows also uses an imaginary line to connect with the center of the ellipse.

在这条线与椭圆相交的点，windows 开始逆时针方向环绕椭圆的周围绘制一个弧。windows 也用一条假想的线连接和椭圆的中心。

This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

The two lines cross at this point.

这两条线相交于一点。

In this paper, privacy-preserving point-segment cross product protocol is firstly presented under the semi-honest model and its security and correctness are also discussed.

对此提出了半诚实模型下保护私有信息的点线叉积计算协议，讨论和分析了其安全性与正确性，并且以保护私有信息的线段相交判定为例说明了其用途。

The exchanges between Chinese contemporary artists and the West, as well as the cross-pollination of heterogeneous cultures, have given birth to the many new species of Eclecticism.

中国当代艺术家和西方的交流以及多元文化之间的杂交，诞生出折中主义的新品种，和中国境内南北相交的意义其实是大同小异的。

By phase optimization design on arterial road coordinate control system, a new offset model for arterial road coordinate control was established. Authors considered all the factors, such as road average speed, traffic flow dispersion, turning traffic flow from crossway and asymmetry of vehicles arrival distribution in the model which greatly influenced the control effect of arterial road coordinate control scheme.

通过对协调控制系统进行相位优化设计，综合考虑各路段的平均车速、车流的离散性、相交道路的转弯车流以及车辆到达的不均匀性等各种影响干道协调控制方案实施效果的主要因素后，建立了一种新的干道协调控制相位差模型。

The logical function was expressed in terms of cubic notation andthe logical operation was carried out cubically through intersection,compatibility and sharp product.

采用立方符号表述逻辑函数，把逻辑运算表示为立方的相交、相容及锐积运算，提出用判断最小项来完成对给定程序的判断和校正，进而实现了计算机辅助逻辑综合，得到了最优的逻辑设计结果，并将此应用于计算机辅助气动系统设计中取得了良好的效果

The movement tracks of condyloid process are given using combination of translation, rotation and curvilinear motion.

利用平移、旋转与曲线运动相结合，给出了下颌骨髁突的运动轨迹并利用光线与物体表面相交算法，得出义齿模型的冲突区域。

The two lines cut at point A.

这两条线在A点相交。

The two lines cut at point D.

这两条线在d 点相交。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。