查询词典 geometric figure

The existing points and lines would form a closed geometric shape. If we put the new point Z outside the closed geometric shape at first and later then found that the point Z has neighboring relationship with the existing point A which is inside the closed geometric shape, we could not link point Z and A directly because that would bring line crossing. If we rearrange the point Z into the closed geometric shape, that also would cause a lot of work to do. With the help of Exclave, all problems could be solved easily. We use point X outside the closed geometric shape as the Exclave of the point A. Then the line between point Z and X could demonstrate the neighboring relationship of the point Z and A.

原有的各点和相邻线段往往会形成一个封闭的几何图形，如果我们把新增点 Z 设在原有的封闭几何图形外部，后来又发现该点 Z 和位于封闭几何图形内部的点 A 存在相邻关系，这时不能直接将两点连接因为那将产生交叉，而如果将点 Z 重新设在封闭图形内部也将导致大量的调整工作；此时借助外飞地的概念，可以轻松地解决上述问题，即在封闭几何图形外部设置点 X 作为点 A 的外飞地，两点使用同样的颜色，用点 Z 和点 X 的相邻线段表示点 Z 和点 A 之间的相邻关系。

Automated geometric theorem proving, as a byproduct of the completion of geometric theorems, is further developed into automated quantitative description of geometric relations. The recovery of the geometric meaning of this quantitative description leads to a natural extension of the geometric theorem.

几何定理的机器证明作为几何定理完全化的副产品，被发展成几何定理的关系定量化，这种量化的几何还原就是几何定理的自然推广。

The scale-type geometric wear-resistant structure surface is characterized in being made up of a base and the bionic geometric units on the surface. The bionic geometric structure unit is a scale-type structure distributed regularly on the surface of the base, and the distribution density is that: the ratio between the geometric projection area of the scale-type structure on the base surface and the surface area of the base formed by all the edge ends is 50-100%; the scale-type geometric structure unit has a symmetric hexagon shape on the surface; the sides L2/L1=1.0-2.0, L1: 1mm-50mm, and the internal angle Alpha is 120 degree -130 degree, the internal angle Beta is 100 degree -110 degree; the A-A section is subtriangular, and the B-B section is a trapezoid, the height H of the scale-type is 1-5mm.

本发明由基体和其表面上的仿生几何结构单元组成，仿生几何结构单元为在基体表面规律分布的鳞片型结构，鳞片型的分布密度为：其在基体表面上的几何投影面积之和与所有棱端围成的基体表面积之比为50-100％，鳞片型几何结构单元的表面形状为对称六边形结构：边长L2/L1＝1.0-2.0，L1：1mm-50mm，内角α为120°-130°，内角β为100°-110°，鳞片型的A-A截面为近似三角形，B-B截面为梯形，鳞片型的高度H为1-5mm。

Figure 1 water tank, Figure 2 cabinets, Figure 3 connector Figure 4 vacuum tube, Figure5 health-care formulations stone, Figure 6 protective plate Figure 7 fastened rooting angle iron, Figure 8 booster pump, Figure9 filter.

附图1是水箱，2是橱柜，3是连接器，4是真空管，5保健配方石，6是防护板，7是紧固生根角铁，8是增压泵，9是过滤器。

Hidden Image is an image contains one or more embedded figures The hidden figure merges into typically a busy image such that it does not standout and remains unnoticeable for a while It takes the viewer to focus or some targeted effort to detect the hidden figure and might requires some hint to be able to do so In this paper we provide the technological processes to create the hidden image which normal Texture Synthesis can't be done; According to quantization of background and figure we manage to recolor the quantized color of figure through Luminance Labeling Processing which is base on relationship between background and figure we also manage to remove some parts assigned by user to make our result more natural but can still recognize the figure Finally we present the result using the Texture Processing We believe the proposed system can provide a user-friendly tool to create their own Hidden Image

Hidden Image，中文称为画中有画的艺术；在表现手法上是一们相当新颖且前卫的艺术，其表现风格多种；一般来说，常见手法是将一个或是多个物体以不同型态的方式巧妙的融合在背景当中，观察者在远方观赏整幅画时，并不会觉得特别突兀，而当视觉集中到某一个焦点上时，透过大脑重新组织之后，其隐藏的物体将渐渐浮现出来。本篇论文主要是提供一个完整的流程；根据luminance space区块化后，透过物体本身区块的相互关系，或是物体与背景的相互关系进行Luminance Labeling，并经由Erosion Processing将物体做适当的破坏，最后以贴图方式给予视觉化呈现。相信透过这样的流程，我们将赋予一般普罗大众一套机制去创造出属於自己的Hidden Image。

conformal geometric algebra is a kind of new geometric representation and geometric computation tool, and it has properties of geometric intuitiveness, compactness, high efficiency, unification and elegance.

摘 要：共形几何代数是一种新的几何表示和几何计算工具，它具有直观、简洁、高效、统一、雅致等特性。

This method is based on the Snell law of acoustic propagation in water. Different velocity gradients among linear layers in water are utilized to draw the sound ray chart, and a mathematical model of the geometric operational range is built. Furthermore, the geometric homing range is predicted with sound ray density, a prediction system of geometric operational range for acoustic homing torpedo is designed and the function of the system is realized through a system software. The sea trial demonstrates the prediction validity of the system.

该方法基于声波在水中传播的Snell定律，利用水中各线性分层间不同的声速梯度，绘制声线图，建立了几何自导作用距离的数学模型，并通过声线密度对几何作用距离进行预报，设计了声自导鱼雷几何作用距离预报系统，并通过系统软件实现了其功能，经测试，该系统在海上试验中取得了良好效果。

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质，包括复数平面、复数的四则运算及复数的n次方根，并举出几个例子，说明这些几何性质如何应用在解决平面几何的问题上。

Concept of compound geometric design for at-grade intersection is presented, and in functional, economic and environmental concept's way at-grade intersection's geometric design is elaborated. Qualitative and quantitative research is provided for intersection's channelized and flared design, including detailed analyses for pocket lane, crossway and traffic island. When conventionally channelized design of signalized intersection isn't possible or these effects are poor, an unconventional geometric design for intersection is brought out and 5 kinds of modes are systematically studied. An example is illustrated to urban signalized intersection compound design's splendid future and deep importance.

对平面交叉口提出复合型几何设计理念，从功能理念、经济理念和环境理念出发研究信号交叉口的几何设计，对交叉口拓宽渠化设计中关键技术环节（专用车道、人行横道和交通岛）进行详细定性和定量分析；针对不允许进行渠化设计或渠化设计效果不佳的信号交叉口，结合交叉口的相关道路设施提出了非传统设计方法，并建立和分析了典型的5种非传统设计模式；同时结合事例说明复合型几何设计理念在城市信号交叉口设计的崭新前景和重要意义

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48