几何的

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质，包括复数平面、复数的四则运算及复数的n次方根，并举出几个例子，说明这些几何性质如何应用在解决平面几何的问题上。

Integrating with the continuous level of detail of geometry mesh, we present an criteria for selecting an appropriate node on the texture the quadtree, and rendering the mesh with the corresponding quadtree texture.

纹理组织方式有效地匹配于地形几何的连续层次多分辨细节模型，提出了纹理四叉树的多分辨率选取策略，并从纹理结点出发，绘制几何网格。

After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'.

在此之后的欧几里德和双曲几何的建立作为一个更一般的'特殊情况下，公理画法几何'。

High geometry is the extended course of elementary geometry.

高等几何是初等几何的延深课程。

This article also points out that"existence of squares","Out-In Complementary Principle","the principle of limit","Liu-Zu cross -section princeple","the area formula for rectangle and the volume formula for cuboid" determine the nature and lay the foundation of geometry in ancient China.

提出了我国古代论证几何所依据的原始命题，指出"存在正方形"连同"出入相补原理"、"极限原理"、"刘－祖截面原理"以及长方形面积公式和长方体体积公式确定了我国古代几何的性质，奠定了我国古代几何的基础。

WA mathematical model so called "Poincaré Model" is introduced to solve these problems by using the theorems of Euclidean geometry stead of Non Euclidean geometry.

提供一种用模型法证明非欧几何定理的证明方法，在证明中可以使用欧氏几何的定理，从而使学生对非欧几何有更深刻的认

In the last part of this dissertation, we discuss how to model an image is discussed and how to segment an image by EDEK.Zero-Cross principle is a classical concept in signal processing. We generalize the concept to be zero normal curvature after the geometry frame built. Furthermore, we present the explanation to choose the dual parameters in SPMVIF. And we research why the Laplacian gradient superior to edge gradient.

梯度方向二阶导数过零原理是信号处理中的经典结论，在运用微分几何的知识建立SPMVIF的几何框架的同时，将这个结论推广到零-法曲率的形式；另外我们对SPMVIF的双参数选取规则进行了讨论并给出它们的几何意义，并且对SPMVIF中法向矢量选取时拉普拉斯梯度优于边缘图像梯度的结论给予统计信息熵的解释。

In chapter 4, some vector mathematical definitions are first given to position tolerance zones; second, the principle of variation geometry is introduced, and the mathematical foundation of automatic generation of a approximate linear equation of tolerance design function by variation geometry is first proven; tangent method and two-point slope method based variation geometry are main studied.

第四章首先对一些位置公差带给出了矢量化的数学定义；然后介绍了变动几何的原理，首次论证了变动几何能产生近似线性公差设计函数的数学依据，并着重研究了基于变动几何的切线法和二点斜率法。

The research of another special case of-geometries -semipartial geometries is very active in recent 10 years.

对-几何的另一种特殊情形-半偏几何的研究，是近10年活跃在几何界的重要课题。

Basic symbols;Coatings;Definition;Definitions;Dimensions;Drawing specifications;Drawings;Engineering drawings;Finishes;Geometric;Geometrical product specification;GPS;Graphic representation;Graphic symbols;Inscriptions in a drawing;Letterings;Machining;Machining tolerances;Marks;Product specifications;Production processes;Products documentation;Ratings;Reference length;Reference lines;Representation of characters;Roughness;Roughness value;Specification;Statement;Surface properties;Surface roughness;Surface texture;Surface treatment;Surface-roughness measurement;Surfaces;Symbols;Technical drawing;Treatment;Wear-quantity

中文标题产品几何量技术规范。技术产品文件中表面结构的表示方式中文主题词图形表示；参考长度；尺寸；加工公差；表面性质；产品规范；覆层；制图规范；精整；表面粗糙度；粗糙度；表面粗糙度测定；表面结构；磨损量；图纸标题；表面处理；技术制图；几何的；基准线；图形符号；符号；标记；加工工艺；文字书写；产品文件；定义；表面；粗糙度值；工程图；额定值；产品几何量技术规范；GPS；叙述；处理；图纸；机械加工；字符表示；基础符号；规范验收

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。