基本解释：欧几里得向量空间
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In this paper the authors generalize 1-independentvariable the integral inequalities by Gronwall and establish the integral inequalities in the n-dimensional Euclidean space R~n.将一维函数的Gronwall不等式推广到了n维欧几里得空间。
In this paper,the operation of vectors of Euclidean space Rn has been carried on the new definition and two inequalities about the operation of vectors are given.对欧几里得空间Rn中的向量定义了新的运算,推出了两个关于向量运算的不等式。
A Method of Establishing Duality Principle for Euclidean Space欧几里得空间建立对偶原理的一种方法
It has been proved that the nature of independence exists in the axiomatic system of Group、Euclidean space、distance space and topological space.本文证明了:群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。
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。
plane Euclidean geometry平面欧几里得几何学
n-dimensional Euclidean geometryｎ维欧几里得几何学
noneuclidean geometry非欧几里得几何(学)
the postulates of Euclideangeometry欧几里得几何学的公设.
Euclidean body (=rigid solid)欧几里得体,刚性体
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional.满足欧几里得公理和定义的区间；一种线性且有限维的区间。
There was almost no room to move inside it.飞行器里面狭小得几乎没有移动的空间。
n-dimensional Euclidean geometry in the wide sense广义ｎ维欧几里得几何学
relating to geometry as developed by Euclid.关于欧几里得发展的几何学的。
geometry based on axioms different from Euclid's.基于不同于欧几里得公理的几何学。
pioneer of non-Euclidean geometry (1826-1866).（1826－1866）非欧几里得几何的创立者。
Euclid requires no prior study of mathematics.阅读欧几里得几何学无须先学习数学，
Elements of Geometry in Chinese View;中国人眼中的欧几里得《几何原本》
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 Elements of Euclid and the Classical Axiom Method of Geometry欧几里得的《几何原本》及几何学古典公理法
