几何学的

Rene Descartes (1596 - 1650), the founder of analytical geometry, is also known as the father of modem philosophy.

勒内 -笛卡尔(1596-1650)，解析几何学的创始人，也称现代哲学之父。

As we all known, with the founding of Euclidean geometry in ancient Greece, with the development of analytic geometry and other kinds of geometries, with F.Kline" s Erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on, man has developed their understand of geometry. On the other hand, Euclid formed geometry as a deductive system by using axiomatic theory for the first time. The content and method of geometry have dramatically changed, but the geometry curriculum has not changed correspondingly until the first strike from Kline and Perry" s appealing.

纵观几何学发展的历史，可以称得上波澜壮阔：一方面，从古希腊时代的欧氏综合几何，到近代解析几何等多种几何的发展，以及用变换的方法处理几何的埃尔朗根纲领，到20世纪拓扑学、高维空间理论等几何学的新发展，这一切都在不断丰富人们对几何学的认识；另一方面，从欧几里得第一次使用公理化方法把几何学组织成一个逻辑演绎体系，到罗巴切夫斯基非欧几何的发现，以及希尔伯特形式公理体系的建立，极大地发展了公理化思想方法，不管是几何学的内容还是方法都发生了质的飞跃。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

In this paper,the application of differential geometrical methods in the study of o...

本文介绍了光束传输以及原子束在激光场中受控运动研究中微分几何学的应用，给出了这两种问题的相似性及其应用微分几何学方法进行研究的理论框架和应用举例，并与以往的研究结果进行了比较，证明了这种方法的可行性及其优点。

Of or relating to Riemann's non-Euclidean geometry.

属于或关于黎曼几何学而非欧几里得几何学的。

Get in torch with.of or relating to Riemann's non-Euclidean geometry.

属于或关于黎曼几何学而非欧几里得几何学的。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

They are active ingredients of an animate geometry that embraces the linear and non-linear.Both Cartesian and post Einsteinian geometry are encompassed by it.

他们是动态几何学的重要组成，这种几何学同时包含线型和非线性概念，超越了传统笛卡尔和后爱因斯坦几何的界限。

Differential Geometry of Curves and Surfaces: A Concise Guide presents traditional material in this field along with important ideas of Riemannian geometry.

曲线和表面的不同几何学：一本简明的指南跟Riemannian 几何学的重要的想法一起在这个领域提出传统的材料。

Fuller invented the Geodesic dome coined the term synergetics, a "Geometry of Thinking," a metaphoric language for communicating experiences using geometric concepts, long before the term synergy became popular.

福勒发明了多面体球顶，创造了&协同几何学&这一词汇，提出&几何学的思维&，开创了用几何学的概念、使用隐喻语言沟通经验；很长时间以后，&协同&这一词语才流行起来。

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。