generatrix

简明释义

英[ˈdʒenəˌreɪtrɪks]美[ˌdʒenəˈreɪtrɪks]

n. [数] 母线；母面；母点

复 数 g e n e r a t r i c e s

英英释义

单词用法

同义词

反义词

例句

1.The temperature in generatrix layer is higher than in the worm wheel layer.

母线层的温度较高，而蜗壳层的温度较低。

2.According to the restriction of the generatrix line Bertrand surface can be constructed with the Bertrand curve with broad sense group.

按照母线的约束，形成广义白川德曲线族，进而构造出白川德曲面。

3.The former is similar to bulge, but the deforming mode of the latter is rolling in which the stress is tensile in generatrix direction and the wall thickness are mainly reduced in this zone.

前者的受力情况类似于胀形，后者为母线方向拉应力作用下的辗压变形，该区起主要减薄壁厚的作用。

4.Formula to evaluate translation of the tooth-surface and the equation to describe the generatrix of the negatively cambered sooth-surface were derived respectively.

分别推导得到齿面平移距离和内凹齿面母线方程的计算公式。

5.According to the restriction of the generatrix line, Bertrand surface can be constructed with the Bertrand curve with broad sense group.

按照母线的约束，形成广义白川德曲线族，进而构造出白川德曲面。

6.The key point for re-constructing rotation surface is setting up rotation axis and generatrix.

旋转面重建的关键是确定旋转轴和母线。

7.Straight generatrix shape roller and arc generatrix shape roller are incompletely the same in processing.

形母线与圆弧形母线滚子，在采用无心贯穿磨削时，并不完全相同。

8.Adopting the engaging process of the measuring rack - probe, the error of straight generatrix is measured, and by error analysis, the tooth profile error and tooth orientation error can be obtained.

采用刃边齿条测头，测量齿轮廓面的直母线偏差，通过误差分析分离出齿廓总偏差和螺旋线总偏差。

9.In order to avoid power cut during examining and repairing of generatrix or conk out of this operation mode, breaker can be used to separate mono generatrix.

为了避免这种运行方式在母线检修、故障时可能造成停电的缺点，因此可用断路器将单母线分段。

10.In geometry, a cone can be defined by its base and a single line known as the generatrix, which extends from the base to the apex.

在几何学中，圆锥可以通过其底面和一条称为生成线的单线来定义，该线从底面延伸到顶点。

11.The generatrix of a cylinder is the line segment that connects corresponding points on the two circular bases.

圆柱的生成线是连接两个圆形底面上对应点的线段。

12.To create a surface of revolution, you rotate a generatrix around an axis.

要创建一个旋转曲面，你需要围绕一个轴旋转一条生成线。

13.In architectural design, the generatrix can refer to the line that defines the profile of a structure.

在建筑设计中，生成线可以指定义结构轮廓的线。

14.The concept of generatrix is essential in understanding how three-dimensional shapes are formed.

生成线的概念对于理解三维形状的形成至关重要。

作文

In the realm of geometry, the concept of a generatrix (生成线) plays a pivotal role in understanding the formation of various shapes. A generatrix is essentially a line or curve that, when moved in a specific manner, generates a three-dimensional object. This idea can be seen in the construction of cylinders, cones, and other solids where the movement of a generatrix creates the surface of the shape. For instance, consider a circle that rotates around an axis; the path traced by this generatrix results in a cylinder. Similarly, if a triangle rotates about one of its sides, it generates a cone. These examples illustrate how the movement of a generatrix can lead to the creation of complex geometric forms. The significance of the generatrix extends beyond mere geometric figures. It serves as a fundamental principle in various fields, including architecture and engineering. Architects often rely on the concept of a generatrix when designing structures, as the lines and curves they choose can drastically alter the aesthetic and functional aspects of a building. For example, the iconic Sydney Opera House utilizes the idea of a generatrix in its sail-like roof design, where the curvature of the sails is generated through the movement of a specific line. In engineering, understanding the generatrix is crucial for creating components that require precise dimensions and shapes. When designing mechanical parts, engineers must consider how a generatrix will influence the overall performance and efficiency of a machine. The ability to manipulate a generatrix allows for innovation in product design, ensuring that items are not only functional but also aesthetically pleasing. Moreover, the concept of a generatrix can be applied in computer graphics and animation. In these fields, artists and programmers use mathematical models to create realistic representations of objects. By defining a generatrix, they can generate complex surfaces and textures, enhancing the visual experience for viewers. This intersection of art and mathematics highlights the versatility of the generatrix in modern technology. In conclusion, the term generatrix (生成线) encompasses a fundamental idea in geometry that has widespread applications in various disciplines. Whether in architecture, engineering, or computer graphics, the movement of a generatrix is essential for generating shapes and forms that we encounter in our daily lives. Understanding how to utilize a generatrix not only enriches our comprehension of geometry but also empowers us to innovate and create in numerous fields. As we continue to explore the possibilities that arise from the manipulation of a generatrix, we unlock new avenues for creativity and functionality in our world.