等距

This is the defining characteristic an equidistant projection, such as the Azimuthal equidistant projection or the Equirectangular projection.

这是等距投影的核心特征，例如等距方位投影或等距圆柱投影。

With the theory, any straight lines and quadratic curve′s equidistance curve can be indirectly interpolated with the help of outline and wire circle′s information, it is unnecessary to calculate equidistance curve .

该理论直接利用轮廓曲线和丝圆的信息，不需计算等距曲线，间接实现任意直线和二次曲线的等距曲线的插补，有效地避免了传统计算等距曲线产生的计算误差，简化了数控机床控制程序设计，提高了机床的控制精度。

Study on geometry theory and engagement characteristics of scroll profiles Aiming as the limitations of scroll profiles in existence, the whole characteristics and local characteristics of plane curve instinct equation were studied. Analyzed the equidistant curve of envelope principle, normal equidistant curve creating method and envelope equidistant curve creating method were gained.

针对现有表征方式的局限性和不足之处，从微分几何角度出发，研究了平面曲线固有方程的局部特性和整体特性，分析了通用涡旋型线等距曲线和包络原理，得到了法向等距曲线生成及包络法等距曲线生成方法，推导了通用涡旋型线的坐标变换方法，得到了通用涡旋型线的平面啮合理论。

The paper induces and analyzes research method of the tooth, including Method line of the tooth theory,Envlopment theory, Camus theory, Circling cluster theory and so on.Based on the past theories,the new measure to deduce the chain wheel tooth equation of roller chain at high speed,Circling cluster and envlopment theory,is proposed by analyzing basic concept of equidistant curve and Willis theory.Following the presentation of drawing lessons from traditional roller chainof the change of stanza line distance. A new type of roller chain at high speed is given in the paper.The paper studies deeply structural characteristics, the change of stanza line distance,separation between plank and bore and so on.According to design requst of roller chain at high speed and the study ofH_y--V_0 tooth chain,the impossibility that Quasi-conjugage engagement theory isrealized by the engagement of roller chain at high speed from the aspect of theory is decribed.

作者综述了高速滚子链国内外研究现状，并进行了以下研究工作：归纳分析了齿形法线法理论、包络法理论、卡姆士定理、圆族法理论等齿形研究方法，在此基础上，结合齿形啮合基本定律，分析了等距曲线的基本概念，提出了一种推导高速滚子链链轮齿廓方程的新方法—圆族包络法；在借鉴普通变节距滚子链的基础上，本文提出了一种新型的高速滚子链链条，深入研究了高速滚子链链条结构特性及其变节距、板孔中心分离等特性。

Passing analysing The link of the three-arc-sect isometric type surface, built the three-arc-sect isometric type surface equation, found the location of isometric type surface with the finite element analysis method and calculated the link intensity of the three-arc-sect isometric type surface.

文中对型面联接中的三弧段等距型面联接进行力学分析，首先建立三弧段等距型面方程，应用有限元法确定等距型面接触点的位置，对三弧段等距型面联接中的应力分布及大小进行分析计算。

In reference [15], Muhly discribe the isometric algebral isomorphism and isometric reflixive algebra isomorphism on some triangle subalgebra og Nenclear algebra with diagonent. The first problem of this chapter is analyzing furtherlythe concrete form of the isometry on TUHF algebra.

Muhly等在文献[15]中讨论了带有对角的Nuclear C~*-代数中的某些三角子代数上的等距代数同构和等距反代数问题，本章讨论的第一各方面就是借助于Muhly的结论进一步分析TUHF代数上等距的具体表达形式。

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。

Based on the analysis and summary of basic ideas and methods,this thesis proposes two new estimation of error of higher order approximation.

方法二是在等距分布的条件下，基于三次样条插值函数的三弯距算法，通过利用节点处弯距的加权和近似计算区间中点处的二阶导数。

In this paper,the rational approximation of the offset curve of Bézier curves is obtained when a polynomial of symmetric power basis is used to approximate the norm of parametric speed of Bézier curves.

等距曲线逼近技术的关键在于参数速度的逼近，文章用S幂基多项式逼近平面Bézier多项式曲线的参数速度模长，得到Bézier多项式曲线的等距曲线的有理逼近曲线，所得有理多项式逼近曲线与等距曲线在端点处能够达到高阶插值。

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。