polar planimeter

简明释义

定极面积仪

英英释义

例句

1.In cartography, a polar planimeter (极坐标面积仪) is essential for accurately measuring land areas on maps.

在制图中，polar planimeter（极坐标面积仪）对于准确测量地图上的土地面积至关重要。

2.The scientist relied on the polar planimeter (极坐标面积仪) to quantify the area of the sample in her research.

科学家依靠polar planimeter（极坐标面积仪）来量化她研究中样本的面积。

3.Using a polar planimeter (极坐标面积仪) can greatly simplify the process of calculating the area of complex geometries.

使用polar planimeter（极坐标面积仪）可以大大简化计算复杂几何图形面积的过程。

4.The engineer demonstrated how to operate the polar planimeter (极坐标面积仪) during the workshop.

工程师在研讨会上演示了如何操作polar planimeter（极坐标面积仪）。

5.To measure the area of an irregular shape, we used a polar planimeter (极坐标面积仪) to get accurate results.

为了测量不规则形状的面积，我们使用了一个polar planimeter（极坐标面积仪）来获得准确的结果。

作文

In the realm of mathematics and engineering, various tools and instruments are utilized to measure and analyze different geometric shapes and figures. One such instrument that plays a crucial role in this field is the polar planimeter. A polar planimeter is a device used for measuring the area of a two-dimensional shape by tracing its perimeter. Unlike traditional methods of calculating area, which often rely on formulas, the polar planimeter offers a practical and efficient way to obtain accurate measurements directly from physical shapes. The operation of the polar planimeter is based on a simple yet ingenious principle. It consists of a movable arm with a pointer at one end and a fixed pivot point at the other. As the user moves the pointer along the boundary of the shape, the arm's rotation is recorded, allowing the device to calculate the enclosed area. This makes the polar planimeter particularly useful for complex or irregular shapes where standard geometric formulas may not apply. One of the significant advantages of using a polar planimeter is its versatility. It can be employed in various fields, including cartography, architecture, and engineering, where precise area measurements are essential. For instance, in cartography, a polar planimeter can be used to determine the area of land parcels on maps, assisting urban planners in making informed decisions about land use and development. Similarly, architects can utilize this tool to calculate the area of building plans, ensuring that they adhere to zoning regulations and design specifications. Moreover, the polar planimeter is not limited to professional use; it can also be an educational tool in classrooms. Students learning about geometry can benefit from hands-on experience with this instrument, gaining a deeper understanding of area measurement and the properties of shapes. By physically tracing the perimeter of various figures, students can visualize the relationship between linear dimensions and area, reinforcing their theoretical knowledge. Despite the advent of digital technology and computer-aided design (CAD) software, the polar planimeter remains relevant due to its simplicity and effectiveness. While software can provide quick calculations, the tactile experience of using a polar planimeter allows users to engage more deeply with the material. Additionally, in situations where electronic devices may not be practical or available, the polar planimeter serves as a reliable alternative. In conclusion, the polar planimeter is an invaluable instrument in the fields of mathematics and engineering, enabling accurate area measurements of two-dimensional shapes. Its unique design and functionality make it suitable for various applications, from professional practices to educational settings. As technology continues to evolve, the enduring relevance of the polar planimeter highlights the importance of traditional tools in complementing modern advancements. Ultimately, whether for academic purposes or practical applications, the polar planimeter remains a vital asset for anyone involved in the measurement and analysis of geometric figures.

在数学和工程的领域中，各种工具和仪器被用于测量和分析不同的几何形状和图形。其中一个在这一领域中发挥重要作用的仪器是极坐标测量仪。极坐标测量仪是一种通过描绘其周长来测量二维形状面积的设备。与传统的计算面积的方法不同，传统方法通常依赖公式，极坐标测量仪提供了一种实用而高效的方法，可以直接从物理形状中获得准确的测量。极坐标测量仪的操作基于一个简单而巧妙的原理。它由一根可移动的臂和一个固定的支点组成，臂的一端有一个指针。当用户沿着形状的边界移动指针时，臂的旋转被记录下来，从而使设备能够计算出封闭的面积。这使得极坐标测量仪在复杂或不规则形状的测量中尤为有用，因为标准几何公式可能不适用。使用极坐标测量仪的一个显著优势是其多功能性。它可以应用于多个领域，包括制图、建筑和工程，这些领域对精确的面积测量至关重要。例如，在制图中，极坐标测量仪可以用于确定地图上土地的面积，帮助城市规划者做出关于土地使用和开发的明智决策。同样，建筑师可以利用这一工具计算建筑平面的面积，确保它们遵循区域法规和设计规范。此外，极坐标测量仪不仅限于专业用途，它还可以作为课堂上的教育工具。学习几何的学生可以通过使用这一仪器获得实践经验，从而深入理解面积测量和形状的性质。通过实际描绘各种图形的周长，学生可以直观地看到线性尺寸与面积之间的关系，强化他们的理论知识。尽管数字技术和计算机辅助设计（CAD）软件的出现使得许多计算变得更加快速，但由于其简单性和有效性，极坐标测量仪仍然保持相关性。虽然软件可以提供快速的计算，但使用极坐标测量仪的触觉体验使用户能够更深入地参与材料。此外，在电子设备可能不实用或不可用的情况下，极坐标测量仪作为一种可靠的替代方案。总之，极坐标测量仪在数学和工程领域中是一种宝贵的仪器，使得二维形状的面积测量变得准确。其独特的设计和功能使其适用于各种应用，从专业实践到教育环境。随着技术的不断发展，极坐标测量仪的持久相关性突显了传统工具在补充现代进步中的重要性。最终，无论是出于学术目的还是实际应用，极坐标测量仪仍然是任何涉及几何图形测量和分析的人的重要资产。