length between perpendiculars

简明释义

垂线间长度垂线间长两柱间长首尾垂线间长

英英释义

例句

1.The architect calculated the length between perpendiculars to ensure the building's foundation would be stable.

建筑师计算了垂线之间的长度以确保建筑基础的稳定性。

2.In the design of the bridge, the engineer specified the length between perpendiculars for accurate load distribution.

在桥梁设计中，工程师指定了垂线之间的长度以确保负载分布的准确性。

3.The surveyor used a total station to determine the length between perpendiculars for the property boundaries.

测量员使用全站仪确定了该地产边界的垂线之间的长度。

4.To find the area of the rectangle, we need to measure the length between perpendiculars accurately.

要计算矩形的面积，我们需要准确测量垂线之间的长度。

5.When drafting the plans, the architect paid close attention to the length between perpendiculars for each room.

在绘制计划时，建筑师非常注意每个房间的垂线之间的长度。

作文

In the realm of geometry, understanding various terms and concepts is crucial for solving problems and applying mathematical principles effectively. One such term that often arises in discussions about shapes and measurements is the length between perpendiculars. This phrase refers to the distance measured between two lines or planes that are perpendicular to each other. To grasp this concept better, it is essential to explore its applications and significance in both theoretical and practical contexts.To begin with, let’s define what we mean by perpendicular lines. In simple terms, two lines are said to be perpendicular if they intersect at a right angle, which is 90 degrees. The length between perpendiculars can be visualized in various geometric figures, such as rectangles, squares, and right triangles. For example, when calculating the area of a rectangle, one might use the lengths of the sides that are perpendicular to each other. Here, the length between perpendiculars plays a vital role in determining the overall dimensions of the shape.Moreover, the length between perpendiculars is not only applicable in pure mathematics but also in engineering and architecture. When designing structures, engineers often need to ensure that certain elements are aligned perpendicularly to provide stability and support. For instance, when constructing a building, the foundation must be laid out with precision, and the length between perpendiculars helps in maintaining the integrity of the design. By measuring this distance accurately, architects can create blueprints that reflect the necessary specifications for the construction process.In addition to its practical applications, the length between perpendiculars also has theoretical implications in the study of vectors and coordinate systems. In physics, for example, forces may be represented as vectors that have both magnitude and direction. When analyzing these forces, understanding the length between perpendiculars becomes essential for resolving components and calculating net forces acting on an object. This concept allows scientists and mathematicians to break down complex problems into simpler parts, making it easier to analyze and solve them.Furthermore, the length between perpendiculars is a fundamental aspect of trigonometry, where it is used to find heights and distances indirectly. For instance, if one needs to determine the height of a tree, they can measure the distance from a certain point on the ground to the base of the tree and then use the angles formed with the ground to calculate the height using trigonometric ratios. Here, the length between perpendiculars serves as a crucial measurement that aids in finding the unknown height.In conclusion, the term length between perpendiculars encapsulates a significant concept in both geometry and its applications across various fields. From architectural designs to physics and engineering, this measurement is pivotal in ensuring accuracy and efficiency. Understanding this concept not only enhances one’s mathematical skills but also provides valuable insights into real-world applications. As we continue to explore the intricacies of geometry and its relevance in our daily lives, the length between perpendiculars will undoubtedly remain a key element in our mathematical toolkit.

在几何学领域，理解各种术语和概念对于有效解决问题和应用数学原理至关重要。一个经常在讨论形状和测量时出现的术语是垂线之间的长度。这个短语指的是在两个相互垂直的线或平面之间测量的距离。为了更好地掌握这一概念，探索其在理论和实践中的应用及重要性是必要的。首先，让我们定义一下什么是垂直线。简单来说，如果两条线在一个直角，即90度的地方相交，则称这两条线为垂直的。在各种几何图形中，可以想象到垂线之间的长度，例如矩形、正方形和直角三角形。例如，在计算矩形的面积时，人们可能会使用相互垂直的边的长度。在这里，垂线之间的长度在确定形状的整体尺寸方面发挥着重要作用。此外，垂线之间的长度不仅适用于纯数学，也适用于工程和建筑。当设计结构时，工程师通常需要确保某些元素与垂直线对齐，以提供稳定性和支撑。例如，在建造一座建筑物时，基础必须精确铺设，而垂线之间的长度有助于保持设计的完整性。通过准确测量这一距离，建筑师可以创建反映建筑过程所需规格的蓝图。除了其实际应用外，垂线之间的长度在向量和坐标系统的研究中也具有理论意义。例如，在物理学中，力可以表示为既有大小又有方向的向量。在分析这些力时，理解垂线之间的长度对于分解分量和计算作用于物体的合力至关重要。这个概念使科学家和数学家能够将复杂的问题分解为更简单的部分，从而更容易分析和解决。此外，垂线之间的长度是三角学的基本方面，在其中用于间接寻找高度和距离。例如，如果有人需要确定一棵树的高度，他们可以从地面上的某一点到树根的距离进行测量，然后利用与地面形成的角度通过三角比率计算出高度。在这里，垂线之间的长度作为一个关键测量，帮助找到未知的高度。总之，术语垂线之间的长度概括了几何学及其在各个领域应用中的重要概念。从建筑设计到物理学和工程，这一测量在确保准确性和效率方面至关重要。理解这一概念不仅增强了人们的数学技能，还提供了对现实世界应用的宝贵见解。随着我们继续探索几何学的复杂性及其在日常生活中的相关性，垂线之间的长度无疑将继续成为我们数学工具箱中的关键元素。