曲率线

This paper presents a new method——using mean radius of curvature to find the substitutive arc of Archimedes spiral,with which better precision can be obtained and the calculating formulas are very simple.

提出了一种用平均曲率半径法求阿基米德螺旋线的代用圆弧的新方法，其计算公式简单，并可得到较高的精度。

Spherometer ; Theory equation of sphere curvature radius ; Principle of Archimedes spiral.

球面曲率计；理论球径公式；阿基米德螺线原理

They are common optical measurement and their distributions are obtained from the large sample data. Beta distribution is used as a unified distribution to simplify the research of optical measurement distribution.

通过对光学测量中常见的叉线对准以及焦距、曲率半径测量进行大样本数据采集和分析处理，利用实验方法得到常见光学测量数据的分布，并选择Beta分布统示表示多种分布，简化了光学测量中的分布研究。

By using the flank profile normal method of the plane engagement theory, the characteristic of the conjugate line pattem of the screw-liner pair on the single head single screw hydraulic machinery is investigated, and its geometric curvature, conugate line shape and slide cocfficient are analyzed.

利用平面啮合理论的齿廓法线法研究了单头单螺杆水力机械螺杆－衬套副的共轭线型特征，并对其几何曲率、啮合线形状和滑动系数等基本特性进行了分析。

For instance,(1) mountain terrain map: displaying the terrain and topography, is 3D emulation of earth's surface, is convenient for customer to look into the physiognomy, and check the data of input;(2) contradistinguish map of mine well: displaying opposite position relation of the earths surface and workface, user can analysis surface movement and distortion value at every positions of the workface with the map;(3) 3D prediction model: displaying workface, survey dots, survey lines, terrain, movement and distortion in a same map with 3D graphics, revealing the relations of every elements' position;(4) isoline graphics: displaying the value of height, subsidence, incline, movement and distortion with different colors, and giving the value of every color at the side of the map;(5) color cloud diagram: revealing every targets with colors, coloring every point in the map with the color corresponding the value of height, subsidence, incline, movement and distortion and form transitional color in color cloud diagram.

通过井上下对照图，用户可以分析工作面的各个位置的地表移动变形值；（3）三维的预计模型：采用3D形式同时显示工作面、测线、测点、地表地形、地表移动及变形，显示了各要素的空间相对关系；（4）等值线：对地表高程、下沉、倾斜、曲率变形、水平移动和水平变形等各个分量以等值线方式显示。

Part four will prove the following 4 theorems : theorem 1 :the curvature and torsion of the locus of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral remains to be function t , but not trigonometric function t .

第四部分证明四个定理分别为定理1 由坐标系原点至圆柱螺线的切线所引垂线的垂足的轨迹曲率和挠率仍为t的函数，但不是t的三角函数。

When the centre line of road is spiral curve,the edge lines(equidistance lines of centre line) are not spiral curves,which makes it difficult for construction location.

在各种曲线组合当中，卵型曲线中的回旋线曲率半径不是从无穷大开始，最为复杂。

When the point moves along the plane curve, the trace curve of the point is called the evolute of the curve, denoted by, and is called the involute of the curve.

当点沿曲线移动时，相应的曲率中心的轨迹曲线称为曲线的渐屈线，而曲线称为曲线的渐伸线。

Based on this definition, the curvature、regular and integral properties of the general offset curve are discussed. As a result, J.steiners celebrated theorem of the oval is developed.

并在此基础上做相应的讨论，研究其正则性、曲率和积分性质，推广了J.steiner关于卵形线的外等距线所围面积的一个著名定理。

Then the contour was smoothened and fitted by using adaptive cubic B-spline, which adjusts the distribution of control points adaptively according to the contour curvature.

然后用一种自适应3次B样条对获得的轮廓线进行修饰和平滑处理。该样条可根据轮廓线不同处的曲率变化情况，自适应地调整控制点的分布。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。