基本解释：几何基础
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Based on comprehensive analysis of common collision detection method,AABB bounding Boxes method is adopted in collision detection research of virtual orthodontics,through the construction of the bounding box binary tree,idiographic implement approach of collision detection is presented,and more basic geometry element collision detection are discussed.在全面分析常用碰撞检测方法的基础上,采用AABB层次包围盒方法对虚拟牙齿矫正中的碰撞检测进行了研究,通过构造的包围盒二叉树,给出了碰撞检测算法的具体实现步骤,并进一步讨论了基本几何元素间的碰撞检测方法。
Some Problems of Fractal(Ⅰ) --The Basis of Fractal;分形几何若干前沿问题(一)——分形几何基础回顾
Algebraic Struclure and Foundation of Geometry Ⅱ-The Affine Geometry and Euclidean Geometry on a field代数结构与几何基础Ⅱ──域上的仿射几何和欧氏几何
Gauss assigned to Riemann the subject of the foundations of geometry as the one on which he should deliver his qualifying lecture.Gauss给Riemann指定把几何基础作为他应该发表的就职演说的题目。
The Construction of Geometry Library and It s Usenesses in Automatic Cartographic Generalization;计算几何基础库的建立及其在地图自动综合中的若干应用
Geometric Foundations of A Non-Noether Conservation Law for Mechanical Systems in Phase Space;相空间中力学系统的非Noether守恒律的几何基础(英文)
Geometry is developed rigorously from a postulational base.从公设的基础上严谨地推演几何学。
The New Type of Teaching Aid in the Basic Sketch;基础素描的新型教具——框架式几何形体
Internet Based Interactive Teach Ware for Geometry Education;建立在几何交互式教学基础上的因特网
On basis of the results of reference, in this paper, the author got the summation formula of several basic bypergeometric series.在文献［］［］［］得结论基础上，又得到了几个基本超几何级数的求和公式。
Examination of the possible world in Europead s geometrical system based on pure deduction;对欧几里德几何体系之可能世界的考察——以纯粹演绎的观点为基础
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。
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
This paper bases on geometric model made up of small balls, and elaborates their combined series rules and geometric relations.以小球垒成的几何模型为基础，阐述了其中的组合数列规律及几何关系。
With hindsight one can see on geometric grounds that the new "numbers" had to contain four components.事后来认识，我们能看到在几何的基础上，新的“数”必须包含四个分量。
His book is generally an introduction to geometry, and to basic arithmetic as well.他的书，概括地讲，是几何学入门，也是基础数学入门。
The theory foundation of engineering drawing is descriptive geometry.画法几何是工程图学的理论基础,其内容的改革倍受关注。
The second chapter: CAGD and reverse engineering.第二章：计算机辅助几何设计和反向工程理论基础。
Research on the Basic Kinematics-Geometry Theory and Tool Positioning Strategy for 5-axis NC Machining;五坐标数控加工运动几何学基础及刀位规划原理与方法的研究
