area triangulation

简明释义

1. 面积三角测量; 2. 三角网测量;

英英释义

例句

1.The surveyor used area triangulation to accurately measure the land boundaries.

测量员使用面积三角测量来准确测量土地边界。

2.Using area triangulation, we can simplify the process of calculating irregular land shapes.

利用面积三角测量，我们可以简化不规则土地形状的计算过程。

3.In architecture, area triangulation helps in determining the surface area of complex structures.

在建筑学中，面积三角测量有助于确定复杂结构的表面积。

4.The area triangulation technique is essential for creating accurate topographic maps.

对于制作准确的地形图，面积三角测量技术是必不可少的。

5.By applying area triangulation, the engineers calculated the total area needed for the new park.

通过应用面积三角测量，工程师计算了新公园所需的总面积。

作文

In the realm of geometry and surveying, the concept of area triangulation plays a pivotal role in accurately determining the area of various shapes and land parcels. Area triangulation refers to the method of dividing a complex shape into smaller triangles, allowing for easier calculation of total area. This technique is particularly useful in fields such as architecture, land surveying, and environmental science, where precise measurements are crucial.To understand area triangulation, one must first grasp the properties of triangles. A triangle is a polygon with three edges and three vertices, and it is the simplest form of polygon. The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. By breaking down a larger, irregular shape into multiple triangles, we can apply this formula to each triangle individually and sum their areas to obtain the total area of the original shape.For instance, consider a plot of land that is not a perfect rectangle or square. By using area triangulation, a surveyor can create a series of triangles that cover the entire plot. This process begins by identifying key points around the perimeter of the land and then connecting these points to form triangles. Each triangle's area is calculated, and the results are aggregated to achieve an accurate measurement of the entire area.The importance of area triangulation extends beyond mere calculations; it also enhances the accuracy of mapping and land development projects. In urban planning, for example, city planners rely on precise area measurements to design infrastructure, allocate resources, and ensure sustainable development. Without effective methods like area triangulation, planning efforts could lead to inefficiencies and miscalculations, ultimately affecting the community's growth and well-being.Moreover, area triangulation is not limited to two-dimensional spaces. In three-dimensional modeling, this technique can be applied to calculate volumes and surface areas of complex structures. Architects and engineers often use triangulation in computer-aided design (CAD) software to create realistic representations of buildings and landscapes. By utilizing area triangulation, they can ensure that their designs are not only visually appealing but also structurally sound.In conclusion, area triangulation is a fundamental concept that underpins many aspects of geometry, surveying, and design. Its ability to simplify complex shapes into manageable triangles allows for accurate area calculations, which are essential in various professional fields. As technology continues to advance, the applications of area triangulation will likely expand, further emphasizing its significance in our understanding of space and measurement. Embracing this technique can lead to better planning, improved resource management, and ultimately, a more organized and efficient world.

在几何和测量的领域中，面积三角剖分的概念在准确确定各种形状和土地面积方面发挥着关键作用。面积三角剖分是指将复杂形状划分为较小的三角形，从而便于计算总面积。这种技术在建筑、土地测量和环境科学等领域尤为重要，因为精确的测量至关重要。要理解面积三角剖分，首先必须掌握三角形的属性。三角形是具有三条边和三个顶点的多边形，它是多边形中最简单的形式。三角形的面积可以使用公式：面积 = 1/2 * 底 * 高来计算。通过将一个较大、不规则的形状分解成多个三角形，我们可以将这个公式应用于每个三角形，并将它们的面积相加以获得原始形状的总面积。例如，考虑一块不是完美矩形或正方形的土地。通过使用面积三角剖分，测量员可以创建覆盖整个地块的一系列三角形。这个过程开始于识别土地周边的关键点，然后连接这些点以形成三角形。每个三角形的面积被计算出来，结果被汇总以实现对整个面积的准确测量。面积三角剖分的重要性超越了单纯的计算；它还增强了制图和土地开发项目的准确性。例如，在城市规划中，城市规划者依赖精确的面积测量来设计基础设施、分配资源并确保可持续发展。如果没有像面积三角剖分这样的有效方法，规划工作可能会导致低效率和错误计算，最终影响社区的增长和福祉。此外，面积三角剖分不仅限于二维空间。在三维建模中，这种技术也可以应用于计算复杂结构的体积和表面积。建筑师和工程师通常在计算机辅助设计（CAD）软件中使用三角剖分，以创建建筑和景观的逼真表示。通过利用面积三角剖分，他们可以确保他们的设计不仅在视觉上吸引人，而且在结构上也是稳固的。总之，面积三角剖分是支撑几何、测量和设计许多方面的基本概念。它能够将复杂形状简化为可管理的三角形，从而允许进行准确的面积计算，这在各个专业领域都是必不可少的。随着技术的不断进步，面积三角剖分的应用可能会进一步扩展，进一步强调其在我们理解空间和测量中的重要性。接受这一技术可以带来更好的规划、改善资源管理，最终使我们的世界更加有序和高效。