查询词典 sphere geometry

Through the process of learning different kinds of theorems, solving various geometry problems involving using those theorems, as well as combining the usage of plane geometry methods with analytic geometry, especially with conic section, we gained our own unique understanding and strong interest of plane geometry.

通过对平面几何各种定理的了解、证明，结合高中数学联赛具体题目中各种定理、推论的应用，以及平面几何与解析结合在圆锥曲线问题中的实际结合，我们对平面几何有了自己独特的见解和浓厚的兴趣。

The variable geometry truss mechanisms have been studied extensively and systematically by this project. The research plan has been completed all sidedly, and expected results have been obtained. Three new kinds of combination decahedrons and a new class of variable geometry truss mechanism, which is composed of an octahedron and three tetrahedrons connected in parallel form, are proposed. The position analyses for decahedrons, dodecahedrons, triple-octahedrons, combinations decahedron and a new type of structure of variable geometry truss mechanisms are presented by introducing additional extra linear displacement sensors and using resultant elimination and homotopy continuation algorithms. The method of kinematical analysis of variable geometry truss mechanisms is established.

课题组对变几何桁架机构进行了深入的研究，全面地完成了研究计划，取得了预期的成果；提出了三种新的十面体组合机构以及由一个八面体和三个四面体组成的新型变几何桁架机构的结构形式；应用结式消元、附加传感器和同伦方法等提出了十面体、十二面体、三重八面体、组合十面体和新型变几何桁架机构的位置分析方法；建立了变几何桁架机构运动分析的一般方法；建立了简洁的凯恩和拉格伦日动力学的模型；应用有限元和子结构方法，提出了变几何柞架机构弹性动力学模型，导出了逆动力学方程的显式形式；设计和研制了一台可折叠的八面体变几何杵架机构装置等。

The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry Beginning at the introductory level with curves in Euclidean space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book:transformation groups, the geometry of differential equations,geometric structures, the equivalence problem the geometry of elliptic operators, G-structures and contact geometry.

这本书是结构，以便读者可以选择部分文本阅读，还带了一个完整的画面，有些地区的微分几何开始入门级和曲线的部分，在欧氏空间变得更有挑战性，终于到达了高级的主题，形成了最大的一部分书：变换团体、几何的微分方程、几何结构、等价问题的几何形状，G-structures椭圆算子和接触几何。

In this paper, the Euclidean geometry from Non-Euclidean geometry to the development of roads, as well as the public starting from the fifth brief analysis of the Euclidean geometry and the similarities and differences Non-Euclidean geometry.

本文主要阐述从欧氏几何到非欧几何的发展道路，以及从第五公设出发简要分析了欧氏几何与非欧几何的异同。

This theory system will pour into the new vigor to the integral geometry and the geometry probability, provides the new theory basis for the integral geometry and the geometry probability.

这一套崭新的理论系统将对积分几何和几何概率注入新的活力，为积分几何及几何概率提供新的理论依据。

With powerful geometry modeling, modern commercial CAX software can t supply engineering application with sufficient non-geometry informationTo get an information model, an approach is to integrate geometry information and non-geometry information into a whole one, on the basis of feature.

现代通用CAX软件具有强大的几何建模功能，但是缺乏对非几何信息的有力支持，不能满足工程需要。

After the researching about the styles, sculpting and the colors of the knitting products, the cause of the influence on the knitting from the Geometry pattern is summarized in the article. After the researching on the designing ways about Geometry patterns, the primary designing ways ang thoughts are summarized in the article. When working in the knitting factories, I tried to use what I have studied in the factories to my research. Then I added the modern technique to the geometry pattern designs. At last, the new design thoughts and the emphases of the market design for different age, jobs about the Geometry were brought forward.

本文在对毛衫上的几何图案造型、风格、色彩进行研究分析后，针对基本几何图案和组合几何图案分别总结出它们影响毛衫风格的主要因素，在对几何图案的造型手法进行深入研究分析后，归结出毛衫几何图案设计创新的主要手法和思路，同时综合在毛衫企业实习后的得到感受和经验，将几何图案结合现代毛衫工艺手法，针对不同年龄、职业、消费层次的市场提出不同的设计思路和实践操作要素。

The questions covering pre-algebra and elementary algebra make up the Pre-Algebra/Elementary Algebra Sub score. The questions covering intermediate algebra and coordinate geometry make up the Intermediate Algebra/Coordinate Geometry sub score. The questions covering plane geometry and trigonometry make up the Plane Geometry/Trigonometry sub score.

包含有基础初等代数和初等代数的考题构成了基础初等代数/初等代数的技能分数，涉及到中等代数和坐标几何的考题构成了中等代数/坐标几何的技能分数，而涵盖平面几何和三角函数的考题则构成了平面几何/三角函数的技能分数。

Therefore in the teaching students should be made to actuallyfeel that spherical geometry knowledge can be used to solve or explainsome real problems in both life and production, to reach the relatedconclusions about spherical geometry by comparing it with Euclideangeometry, and to have anidea of some non-Euclidean geometry models aswell as differences between flat geomtry models and spherical geometry ones.

是为对数学有兴趣和希望进一步提高数学素养的学生而设置，重点是培养学生空间想像和几何直观能力，教学中应使学生切实地感受到利用球面上的几何知识可以解决生活或生产中的一些实际问题；让学生通过欧氏几何和球面几何的类比，得到球面上的几何的相关结论；使学生了解一些非欧几何模型，从而思考平面几何模型与球面上的几何等非欧几何模型的差异。

In order to reduce the effect of imaging recognition error, the recognition location of projection is extended and refined, and the projection edge of sphere centre is implanted. So a pyramid is formed by radial line between the camera optical centre and the implanted point. A curved face is formed by the two pyramids and barbette sphere. To calculate the shape centre of the common section of the curved face, the shape centre is the coordinate of sphere centre.

为了降低图像识别误差的影响，对投影的识别位置进行拓展和细化，并对球心投影边界进行插值，摄像机光心与插值点连线射线形成了一个锥体，两摄像机的锥体分别与炮台球面相交形成曲面，计算两曲面公共部分的形心，即为球心位置。

Smoking cigarettes adds to the Computer Desk Computer manufacturer computer mouse Computer Computerized collar knitter machine Conduit Bodies construction board Container Bag Control Arm Cooking Thermometer general levels of air pollution as well as damaging our health.

吸烟不仅对健康有害，而且增加空气污染程度。香烟雾含有多种有害物质：不仅有致癌化学物质、有某种能阻止氧气进入血液的气体，还有引起血压增高、心速加快的被称为尼古丁的物质。

He is one of my favorite actors.

他是我最喜欢的男演员之一。