圆的

LIU Hui's Cyclotomic Method is one of the greatest achievements in the history of mathematics in China,even in the world,in which the special approach to understand the infinity and the method to solve it are presented.

有的著作认为在极限公式limx→0sinxx=1的证明中，要用到圆的面积公式S=21Lr，而对后者的证明中必须要用到重要极限limx→0sinxx=1，从而犯了循环论证的错误。魏晋刘徽的"割圆术"是对无限问题的独特认识和致用的处理方式，是为证明圆面积公式而设计出来的一种方法。

What this text to study is according to an detection by the transformation of HOUGH, some round characteristics value will bi found, like the round radius and the center of a circle.

本文所要研究的是基于HOUGH变换的圆检测，即通过HOUGH变换提取出被检测圆的一些特征值，如圆的半径及圆心所在的坐标。

Curve C at the spot P(x0, y0) curvature is the maximal circle of the curve C tangency at the spot P(x0, y0). Contrail curve G of the center D of curvature circle entitles evolute of curve C.

曲线C在点Px0，y0）曲率圆是与该曲线C相切于点P(x0，y0的最大圆，曲率圆的圆心D的轨迹曲线G称为曲线C的渐屈线。

The criteria of the minimum zone circle method, minimum circumscribed circle method and maximum inscribed circle method were researched and the criterion of obtuse triangle was proposed.

研究了圆度误差评定中最小区域圆法、最小外接圆法和最大内接圆法的判别准则，提出了具有最小误差的外接圆和内接圆的钝角三角形准则，使圆度误差的判别准则得到完善。

Based on the criteria of roundness error, the definition of the circumscribed circle and inscribed circle with the least roundness error was given. The solution to the circumscribed circle and inscribed circle with the least roundness error was proposed when they met with the criterion of obtuse triangle.

根据圆度误差评定的判别准则，给出具有最小误差的外接圆和内接圆的定义，并提出了解决具有最小误差的外接圆和内接圆满足钝角三角形准则时的误差评定方法。

The basic principle is based on spherical astronomy and elementary geometry of the trajectory mapping method based on the observation of a celestial body zenith distance, then the ship is located in order to sing the next point as the center of this satellite zenith distance of the ship's position as the radius of the circle, observing the same two objects, or objects at different times of the two observations, we can get two ship's position round, then the ship must have been a point of intersection of two ship's position on the circle.

其基本原理是建立在球面天文学和初等几何中的轨迹作图法基础上的，观测一个天体的天顶距，则航船就位于以星下点为圆心，此星天顶距为半径的船位圆上，观测两个天体或者不同时间同一天体的两个观测值，就可以得到两个船位圆，则航船一定在两个船位圆的一个交点上。

Roundness tolerance of pitch diameter Roundness tolerance for a minimum of 345o circumferential arc of the pitch diameter shall not exceed .002 inch (0.051 mm) total, or one half the pitch diameter tolerance if the pitch diameter tolerance is less than .004 inch (0.102 mm); roundness tolerance of the remaining 15o maximum circumferential arc shall not exceed .004 inch (0.102) total, provided such tolerance does not result in excrescence on the thread flank.

圆度公差沥青直径圆容忍最低限度的345o圆周弧音高直径不得超过0.002英寸（ 0.051毫米）总，或一的一半，足球场直径公差，如果沥青直径公差小于0.004英寸（ 0.102毫米）；圆的耐受性，其余15o最大周弧不得超过0.004英寸（ 0.102 ），共计提供这样的宽容不会导致在excrescence对线程的侧翼。

When we up-cast from a circle to a point, we do not change the state of the circle, When we up-cast from a circle to a point, we do not change the state of the circle

当我们从圆到点进行向上类型转换的时候，我们不会改变圆的状态，也就是说，虽然我们把一个圆的struct Circle结构看作是一个struct Point，我们却不改变其中的内容。

Quails typically have short rounded wings that e nable them to spring into full flight instantly when disturbed in their hiding places.

典型的鹌鹑都长有短而圆的翅膀，凭此他们可以在受惊时一跃而典型的鹌鹑都长有短而圆的翅膀，典型的鹌鹑都长有短而圆的翅膀起，飞离它们的躲藏地。

That is, for every circle the cross-ratio of its four intersection points with neighboring circles is equal to a negative constant.

给出交比为负常数的SG圆模式的定义，即其中每一个圆与它相邻圆的四个交点的交比等于一个给定的负常数。

We will see more and more activist government policies that distinguish economic activities according to the nationality of the actors.

我们将看到越来越多激进的政府政策，这些政策根据企业的国籍来区分经济活动。

If we can prove the independence of an axiomatic system, then we can guarantee the conciseness of this system, ie.

如果能够证明某个一阶谓词系统的独立性，那么就能够保证该系统的建立是精炼的，即没有任何一条公理或推理规则是多余的。