distance between centers

简明释义

中心距

英英释义

例句

1.The engineer calculated the distance between centers to ensure proper alignment of the machinery.

工程师计算了中心之间的距离以确保机械的正确对齐。

2.To find the distance between centers of the two planets, astronomers use advanced telescopes.

为了找到两颗行星的中心之间的距离，天文学家使用先进的望远镜。

3.To optimize the layout, we must first determine the distance between centers of the furniture pieces.

为了优化布局，我们必须首先确定家具件之间的中心距离。

4.In geometry, the distance between centers of two circles determines if they intersect.

在几何学中，两个圆的中心之间的距离决定它们是否相交。

5.The architect needed to measure the distance between centers of the columns for the building design.

建筑师需要测量建筑设计中柱子的中心之间的距离。

作文

In the realm of geometry, the concept of distance plays a crucial role in understanding the relationships between various shapes and forms. One specific term that often arises in discussions about circles, spheres, and other geometric figures is the distance between centers. This phrase refers to the straight line measurement that connects the centers of two distinct shapes, providing insight into their spatial relationship. To illustrate this concept, let’s consider two circles on a plane. Each circle has its own center point, which is the midpoint of all points on the circle's circumference. The distance between centers of these two circles can determine several important characteristics, such as whether the circles intersect, are tangent to each other, or are completely separate. For instance, if the distance between centers is less than the sum of their radii, the circles will overlap. If it is exactly equal to the sum of their radii, they will touch at one point, known as being tangent. Conversely, if the distance between centers exceeds the sum of their radii, the circles remain apart without any intersection. This simple yet profound analysis can extend beyond circles to other shapes, like spheres in three-dimensional space, where the same principles apply. Understanding the distance between centers is not only essential in mathematics but also finds applications in various fields such as physics, engineering, and computer graphics. For example, in physics, the gravitational force between two objects can be calculated using the distance between centers of the objects involved. The greater the distance, the weaker the gravitational pull. Similarly, in engineering, when designing structures, knowing the distance between centers of different components can help ensure stability and integrity. In computer graphics, the distance between centers is vital for rendering scenes accurately. When animating characters or objects, understanding how far apart they are can affect motion dynamics, collision detection, and overall realism in visual presentations. Therefore, grasping the idea of distance between centers opens up a multitude of practical applications and enhances our understanding of spatial relationships. Moreover, this concept can also lead to more advanced studies in mathematics, such as topology and metric spaces, where the notion of distance becomes even more abstract and generalized. In these areas, the distance between centers can be defined in various ways, depending on the properties of the space being studied. In conclusion, the phrase distance between centers encapsulates a fundamental aspect of geometry and its applications across different disciplines. By comprehending this concept, we can better analyze and interpret the relationships between various geometric figures, leading to deeper insights in both theoretical and practical contexts. Whether in mathematics, physics, engineering, or computer graphics, understanding the distance between centers is a key element that enriches our knowledge and capabilities in numerous fields.

在几何学的领域中，距离的概念在理解各种形状和形式之间的关系中起着至关重要的作用。一个特定的术语经常出现在关于圆、球体和其他几何图形的讨论中，即中心之间的距离。这个短语指的是连接两个不同形状的中心的直线测量，提供了它们空间关系的洞察。为了说明这个概念，让我们考虑平面上的两个圆。每个圆都有自己的中心点，这是圆周上所有点的中点。两个圆的中心之间的距离可以决定几个重要特征，例如圆是否相交、是否相切或完全分开。例如，如果中心之间的距离小于它们半径的总和，则圆会重叠。如果恰好等于它们半径的总和，则它们将在一个点相切，这称为相切。相反，如果中心之间的距离超过它们半径的总和，则圆保持分开而没有任何交集。这种简单而深刻的分析不仅适用于圆，还可以扩展到三维空间中的其他形状，如球体，在那里同样的原则适用。理解中心之间的距离不仅在数学中至关重要，而且在物理学、工程学和计算机图形学等多个领域也有应用。例如，在物理学中，两个物体之间的引力可以通过涉及物体的中心之间的距离来计算。距离越大，引力就越弱。同样，在工程学中，设计结构时，了解不同组件的中心之间的距离可以帮助确保稳定性和完整性。在计算机图形学中，中心之间的距离对准确渲染场景至关重要。在动画角色或物体时，了解它们之间的距离可以影响运动动态、碰撞检测以及视觉呈现的整体真实感。因此，掌握中心之间的距离的概念打开了许多实际应用，并增强了我们对空间关系的理解。此外，这个概念还可以引导我们深入研究更高级的数学，如拓扑学和度量空间，在这些领域中，距离的概念变得更加抽象和广义。在这些领域中，中心之间的距离可以根据所研究空间的属性以各种方式定义。总之，短语中心之间的距离概括了几何学及其在不同学科中的应用的基本方面。通过理解这一概念，我们可以更好地分析和解释各种几何图形之间的关系，从而在理论和实践背景下获得更深刻的见解。无论是在数学、物理学、工程学还是计算机图形学中，理解中心之间的距离都是丰富我们知识和能力的关键元素。