1.
plane Euclidean geometry
平面欧几里得几何学
2.
n-dimensional Euclidean geometry
ｎ维欧几里得几何学
3.
the postulates of Euclideangeometry
欧几里得几何学的公设.
4.
Euclid requires no prior study of mathematics.
阅读欧几里得几何学无须先学习数学，
5.
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。
6.
n-dimensional Euclidean geometry in the wide sense
广义ｎ维欧几里得几何学
7.
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。
8.
Euclid requires no prior study of mathematics. His book is generally an introduction to geometry, and to basic arithmetic as well.
阅读欧几里得几何学无须先学习数学，他的书，概括地讲，是几何学入门，也是基础数学入门。
9.
His book is, therefore, not readily intelligible, even to scientists, unless Euclid has been read before.
因此，如果事先没读过欧几里得几何学，牛顿的书是不易理解的，即使科学家也是如此。
10.
noneuclidean geometry
非欧几里得几何(学)
11.
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
12.
relating to geometry as developed by Euclid.
关于欧几里得发展的几何学的。
13.
geometry based on axioms different from Euclid's.
基于不同于欧几里得公理的几何学。
14.
pioneer of non-Euclidean geometry (1826-1866).
（1826－1866）非欧几里得几何的创立者。
15.
Elements of Geometry in Chinese View;
中国人眼中的欧几里得《几何原本》
16.
Movement Axiom of Euclid Geometric System and High School Maths Education
欧几里德几何体系中运动与中学教学
17.
Let me illustrate this point by taking Euclid's elements of Geometry and Newton's Mathematical Principles of Natural Philosophy.
让我以欧几里得的《几何学大纲》和牛顿的《自然哲学的数学原理》二书为例，来证明这一点。
18.
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