between perpendiculars
简明释义
垂线间
英英释义
A term used in geometry and engineering to describe a space or area that is confined or bounded by two perpendicular lines or planes. | 在几何和工程中使用的术语,描述被两条垂直线或平面限制或包围的空间或区域。 |
例句
1.In geometry class, we learned how to calculate the area of a triangle between perpendiculars from the base.
在几何课上,我们学习了如何计算从底边在垂直线之间的三角形的面积。
2.The engineer marked the boundaries between perpendiculars to ensure accurate measurements.
工程师在垂直线之间标记了边界,以确保测量准确。
3.The fence was installed between perpendiculars to create a clear division of the property.
围栏安装在垂直线之间,以明确划分财产。
4.The architect designed the building to fit perfectly between perpendiculars to maximize space.
建筑师设计了这座建筑,使其完美地适应在垂直线之间,以最大化空间。
5.To find the midpoint, we need to measure the distance between perpendiculars on either side.
要找到中点,我们需要测量两侧在垂直线之间的距离。
作文
In the world of geometry, the concept of perpendicular lines plays a crucial role in understanding various shapes and their properties. When two lines intersect at a right angle, they are said to be perpendicular to each other. This relationship is fundamental in both theoretical and practical applications, particularly in fields such as architecture, engineering, and computer graphics. One important aspect that arises when discussing perpendicular lines is the idea of measuring distances or areas between perpendiculars. This phrase refers to the space that exists between two lines that are perpendicular to a common baseline or axis. To illustrate this, consider a simple example involving a rectangle. A rectangle consists of two pairs of parallel sides, with each pair being perpendicular to the other. If we were to draw two perpendicular lines from the top corners of the rectangle to the bottom edge, we would create two distinct segments on the bottom edge. The distance measured along the bottom edge between perpendiculars represents the width of the rectangle. This concept is not only applicable in theoretical geometry but also has practical implications in real-world scenarios.For instance, in construction, when laying out a building, architects and engineers must ensure that walls are built perfectly vertical and horizontal. The measurements taken between perpendiculars help to determine the correct spacing and alignment of structural elements. If these measurements are inaccurate, it could lead to structural failures or aesthetic issues in the final design.Furthermore, the idea of between perpendiculars can extend beyond simple geometric shapes. In the realm of physics, for example, when analyzing forces acting on an object, one might need to consider components of those forces that are perpendicular to each other. By breaking down forces into their perpendicular components, it becomes easier to analyze the overall effect of those forces on the object’s motion.Additionally, in computer graphics, the concept of between perpendiculars is essential for rendering three-dimensional objects on a two-dimensional screen. When creating a perspective view, artists and programmers must account for the angles and distances between perpendiculars to accurately depict depth and dimension. This ensures that the final image appears realistic and visually appealing.In conclusion, the phrase between perpendiculars encapsulates a vital aspect of geometry that is widely applicable across various disciplines. Whether in mathematics, engineering, physics, or art, understanding the significance of distances and relationships that exist between perpendiculars allows for better problem-solving and innovation. As we continue to explore the complexities of our world, the principles behind perpendicularity will remain a foundational element in our understanding of space and structure.
在几何学的世界里,垂直线的概念在理解各种形状及其属性方面起着至关重要的作用。当两条线以直角相交时,它们被称为彼此垂直。这种关系在理论和实际应用中都是基础,特别是在建筑、工程和计算机图形学等领域。当讨论垂直线时,一个重要的方面是测量距离或区域的想法,即between perpendiculars。这个短语指的是在两个与公共基线或轴垂直的线之间存在的空间。为了说明这一点,我们考虑一个简单的例子,涉及一个矩形。矩形由两对平行边组成,每一对都与另一对垂直。如果我们从矩形的顶部角落画出两条垂直线到底边,我们将在底边上创建两个不同的线段。沿着底边测量的距离between perpendiculars代表矩形的宽度。这个概念不仅适用于理论几何,在现实场景中也具有实际意义。例如,在建筑中,当布置一座建筑时,建筑师和工程师必须确保墙壁建造得完全垂直和水平。测量between perpendiculars有助于确定结构元素的正确间距和对齐。如果这些测量不准确,可能会导致结构故障或最终设计中的美学问题。此外,between perpendiculars的概念可以扩展到简单的几何形状之外。在物理学领域,例如,在分析作用于物体的力时,人们可能需要考虑那些彼此垂直的力的分量。通过将力分解为它们的垂直分量,可以更容易地分析这些力对物体运动的整体影响。此外,在计算机图形学中,between perpendiculars的概念对于在二维屏幕上呈现三维物体至关重要。当创建透视图时,艺术家和程序员必须考虑between perpendiculars的角度和距离,以准确描绘深度和维度。这确保了最终图像看起来真实且视觉上吸引人。总之,短语between perpendiculars概括了几何学中一个重要方面,这在各个学科中广泛适用。无论是在数学、工程、物理还是艺术中,理解存在于between perpendiculars之间的距离和关系的重要性,使得问题解决和创新变得更好。随着我们继续探索世界的复杂性,垂直性的原则将始终是我们理解空间和结构的基础元素。