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1·With some examples in plane geometry, the author indroduces how to use Desargues theorem to simplify the proofs of problems of collinear points and concurrent lines.

利用代沙格定理及其逆定理 ，对平面几何的几个共线点和共点线的问题给出简捷的证法。

2·Hayes solves the problem of determining whether three points in a plane are collinear.

Hayes解决了如何确定一个平面上的三个点是否在一条直线上的问题。

3·Orbits of this type can be positioned near collinear libration points, and for simplicity it is adequate to take linear terms into consideration in the control process.

这种类型的轨道可以离共线平动点较近，那么只需要在控制过程中考虑线性项即可，控制条件简单。

4·Pascal's Theorem points of intersection of opposite sides a hexagon inscribed in a conic are collinear .

帕司卡定理：给定一个圆上的六边形，则此六边形三对对边直线的交点在同一直线上。

5·Based on the invariance of cross-ratio and the collinear property of all points for one dimensional target, a global calibration method of multi-vision sensor system is proposed.

基于交比不变性原理和一维靶标点共线的特点，提出了一种多视觉传感器全局校准方法。

6·Secondly, the control system structure and station keeping problems near collinear Lagrange points are studied.

研究了编队飞行的控制系统结构和共线拉格朗日点附近的周期轨道保持控制问题。