基本解释：非拍斯卡几何
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A simple proof of finiteness of areas of asymptotic triangles in non-Euclidean geometry;非欧几何中极限三角形面积有限性的简单证明
From the study of the parallel postulate to the establishment of the non-Euclidean geometry;从平行公设的研究到非欧几何的创立
Extend of non-euclidean geometry form upon tradition space非欧几何形式对传统空间的拓展
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
Aiming at the mechanism character of a multi axes robot,the location kinematics negative problem was solved by simple Descartes geometry instead of general matrix transform.针对一个教学型多关节机器人的机械特点,不用一般的齐次转换的方法而是用简单的笛卡儿几何的方法解决了其运动学逆问题。
Lobachevsky's non-Euclidean geometry罗巴契夫斯基非欧几何学
The functions of the external causes in development of Non-Euclid Geometry非逻辑性因素在非欧几何创立中的作用
The Effect of Mathematics Having on the Human Culture from the Foundationof Non -Euclid Geometry从非欧几何的产生看数学对人类文化的影响
So, they try to prove axiom and also established similarly two new opposite field: non-Cantor' s set theory and non-Euclidean geometries.对公理的试图证明,又类似地建立了对应的非欧几何学与非康托集合论的新领域。
noneuclidean geometry非欧几里得几何(学)
hyperbolic (non-Euclidean) geometry双曲型(非欧)几何学
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。
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。
pioneer of non-Euclidean geometry (1826-1866).（1826－1866）非欧几里得几何的创立者。
a non-Euclidean geometry that regards space is like a sphere and a line is a great circle.视空间为球而线为圆圈的非欧几里得几何学。
He did not grant independent existence to the non-Euclidean geometries.他不承认非欧几里德几何的独立存在性。
plane Euclidean geometry平面欧几里得几何学
n-dimensional Euclidean geometryｎ维欧几里得几何学
the postulates of Euclideangeometry欧几里得几何学的公设.
But none of the mathematicians believed that these basic non-Euclidean geometries would be physically significant.但数学家们无人相信这些基本的非欧几里德几何必然有物理意义。
The advent of the theory of relativity forced a drastic change in the attitude toward non-Euclidean geometry.相对论的发现迫使对待非欧几里德几何的态度有激烈的变化。
In the case of non-Euclidean geometry he published no definitive work.至于非欧几里德几何，他没有发表过权威性的著作。
Of, relating to, or being any of several modern geometries that are not based on the postulates of Euclid.非欧几里得的属于、关于或是一种不是建立在欧几里得的基本原理基础之上的现代几何的
