length between perpendiculars

简明释义

垂线间距

英英释义

例句

1.In shipbuilding, the length between perpendiculars is crucial for determining the vessel's design.

在造船中，垂线间的长度对于确定船只的设计至关重要。

2.The surveyor measured the length between perpendiculars to assess land boundaries accurately.

测量员测量了垂线间的长度以准确评估土地边界。

3.The engineer calculated the length between perpendiculars to ensure the stability of the structure.

工程师计算了垂线间的长度以确保结构的稳定性。

4.The architect specified the length between perpendiculars to achieve the desired aesthetics.

建筑师指定了垂线间的长度以达到所需的美学效果。

5.To calculate the area of the rectangle, we need the length between perpendiculars of the sides.

为了计算矩形的面积，我们需要边的垂线间的长度。

作文

In the field of geometry, understanding various concepts is crucial for solving problems effectively. One such concept is the length between perpendiculars, which refers to the distance measured between two lines that are perpendicular to each other. This term is often used in the context of triangles and other geometric shapes where right angles play a significant role. The length between perpendiculars can be particularly useful when calculating areas or determining specific properties of geometric figures.For instance, consider a right triangle where one leg is perpendicular to the other. The length between perpendiculars in this case would be the height of the triangle when the base is laid along one of the legs. This measurement is essential because it allows us to calculate the area of the triangle using the formula: Area = 1/2 * base * height. Here, the height corresponds to the length between perpendiculars, providing a direct link between the geometric concept and practical application.Moreover, the length between perpendiculars is not limited to triangles alone. In the study of polygons, especially quadrilaterals, we often encounter scenarios where we need to determine the distance between parallel sides. When these sides are extended to form perpendicular lines, the length between perpendiculars becomes a vital measurement for understanding the shape's dimensions and properties. For example, in a rectangle, the length between perpendiculars from one side to the opposite side is simply the height of the rectangle, which is integral to calculating its area as well.The significance of the length between perpendiculars also extends to real-world applications, such as architecture and engineering. When designing structures, architects must consider the distances between various elements to ensure stability and aesthetic appeal. The length between perpendiculars can help in determining the correct spacing and alignment of beams, walls, and other structural components. By applying geometric principles, architects can create safe and functional designs that adhere to building codes and regulations.Additionally, in fields like physics, the length between perpendiculars can be relevant when analyzing forces acting on objects. For instance, when studying the motion of a projectile, the vertical and horizontal components of the projectile's path can be understood in terms of perpendicular lines. The length between perpendiculars in this context may represent the maximum height reached by the projectile, which is crucial for calculating its trajectory and impact.In conclusion, the concept of length between perpendiculars is a fundamental aspect of geometry that finds relevance across various disciplines. From calculating areas of geometric shapes to applications in architecture and physics, understanding this measurement enables us to solve problems more effectively. As we continue to explore the complexities of geometry, the length between perpendiculars will undoubtedly remain a key concept that enhances our comprehension of spatial relationships and dimensional analysis.

在几何学领域，理解各种概念对于有效解决问题至关重要。其中一个概念是垂线间的长度，它指的是测量两条彼此垂直的线之间的距离。这个术语通常用于三角形和其他几何形状的上下文中，其中直角发挥着重要作用。垂线间的长度在计算面积或确定几何图形的特定属性时特别有用。例如，考虑一个直角三角形，其中一条边与另一条边垂直。在这种情况下，垂线间的长度将是当底边沿着一条腿放置时三角形的高度。这个测量值至关重要，因为它使我们能够使用公式计算三角形的面积：面积 = 1/2 * 底边 * 高度。在这里，高度对应于垂线间的长度，为几何概念与实际应用之间提供了直接联系。此外，垂线间的长度并不仅限于三角形。在多边形的研究中，尤其是四边形，我们常常遇到需要确定平行边之间距离的情况。当这些边延伸形成垂直线时，垂线间的长度成为理解形状的维度和属性的重要测量值。例如，在矩形中，从一侧到对侧的垂线间的长度就是矩形的高度，这对于计算其面积至关重要。垂线间的长度的重要性还扩展到建筑和工程等现实世界应用中。在设计结构时，建筑师必须考虑各种元素之间的距离，以确保稳定性和美观。垂线间的长度可以帮助确定梁、墙和其他结构组件的正确间距和对齐方式。通过应用几何原理，建筑师可以创建符合建筑规范和法规的安全和功能设计。此外，在物理等领域，垂线间的长度在分析作用于物体的力时也可能相关。例如，在研究抛射物运动时，抛射物路径的垂直和水平分量可以用垂直线来理解。在这种情况下，垂线间的长度可能代表抛射物达到的最大高度，这对计算其轨迹和影响至关重要。总之，垂线间的长度这一概念是几何学的一个基本方面，在各个学科中都有相关性。从计算几何形状的面积到建筑和物理应用，理解这一测量值使我们能够更有效地解决问题。随着我们继续探索几何的复杂性，垂线间的长度无疑将继续成为增强我们对空间关系和维度分析理解的关键概念。