The phenomenal world, that is the world that we experience must, for example, satisfy the exhumes of Euclidean geometry.
现象世界，也就是我们所感知的世界，必须符合欧几里德几何学的发现。
It seems that the proof of Pythagoras's theorem comes pretty much from just consulting the ideas of Euclidean triangle, the exhume of Euclidean geometry and simply doing inferences from those.
看起来毕达哥拉斯的定理，似乎来自于欧几里德的三角形理论，从欧几里德几何学的发现中可以简单地推理出来。
Observer B concludes that there must be some connection between this 'force' and the non-Euclidean geometry she finds.
观察者B会做出这样的结论：在这种“力”和她发现的非欧几里德几何问题之间肯定存在有某种关系。
Geometry describes locations on a flat (i.e. Euclidean) plane, and can be used to determine information such as the shape and area of a polygon.
Geometry描述扁平(比如欧几里得)平面上的位置，并可用来判定诸如多边形形状和面积之类的信息。
She would see the same number of rulers involved as did observer a, and so would likewise conclude that the ratio of circumference to radius did not conform with Euclidean geometry.
她将看到和观察者A一样数量的尺子。所以同样的，将可以做出这样的结论：圆周和半径的比率将和欧几里德几何不一致。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
The common conclusion was the uniqueness and necessity of Euclidean geometry.
欧几里德几何的唯一性与必要性已被公认。
Conventional flow mathematical models of coalbed methane are all based on Euclidean geometry.
传统的煤层气渗流数学模型均是建立在欧几里德几何基础上的。
Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclidof Alexandria.
欧几里德几何是一种数学系统归于希腊数学家欧几里德的亚历山大。
During studying the geometry of normed Spaces, a potential subject is looking for a new concept in more general Spaces to replace the concept of orthogonality in Euclidean space.
在赋范空间几何学的研究中，一个潜在的主题就是在更为一般的空间中寻找一个新的概念来替代欧式空间中的正交性。
The non-euclidena geometries were in effect subordinated to euclidean geometry.
非欧几里德几何实际上是从属于欧几里德几何的。
Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics.
以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头，是古代数学公理化方法的一个辉煌成就。
We introduce the Lobachevskian geometry and the Ricmanian geometry by proving the Euclidean of the fifth postulate.
通过对欧氏第五公设的试证，引入罗氏几何与黎氏几何。
Aim To study the relations between the thought of Gaussian intrinsic differential geometry and Gauss's earlier research on non-Euclidean geometry.
目的分析与研究高斯关于非欧几何的研究和内蕴微分几何思想之间的联系。
And we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms in Euclidean geometry, ba, ba-ba, ba-ba, ba-ba, ba bum.
我们都学习过，欧几里得几何中对勾股定理的证明方法，从繁杂的欧氏几何的公理开始，邦，邦邦，邦邦，邦邦。
The (Euclidean) minimum weight triangulation (MWT) of a planar point set is a long-standing open problem in the fields of computational geometry and algorithm design.
平面点集的(欧几里德)最小权三角剖分问题是计算几何和算法领域的一个长期悬而未决的公开问题。
The paper introduces the one of non- Euclidean geometry - hyperbolic geometry into special theory of relativity.
本文试图将非欧几何之——双曲几何引入狭义相对论。
Einstein's 12-year-old self when the Euclidean geometry, boring teaching methods in schools, he simply fed up with higher math self-starting.
爱因斯坦12岁时开始自学欧几里德几何，对学校枯燥教学方式厌倦的他干脆自学起高等数学。
Janos continued anyway and today is recognized, along with Lobachevsky and Gauss , as one of the discoverers of non-Euclidean geometry;
亚诺什继续反正今天是公认的，随着罗巴切夫斯基和高斯 ，非欧几里德几何的发现者之一；
It is well-known today since he appended janos' paper on non-Euclidean geometry to the first volume.
它今天是众所周知的，因为他追加亚诺什“非欧几里德几何第一册纸。”
Based on the comparison of fractal geometry and Euclidean geometry, on the basis of geometric from fractal "similar" perspective building space forms of related problems.
本文在比较分形几何和欧氏几何的基础上，试图从分形的“自相似”角度来探究建筑空间形式的相关问题。
Based on the comparison of fractal geometry and Euclidean geometry, on the basis of geometric from fractal "similar" perspective building space forms of related problems.
本文在比较分形几何和欧氏几何的基础上，试图从分形的“自相似”角度来探究建筑空间形式的相关问题。
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