great circle

简明释义

大圆;大圈

英英释义

A great circle is the largest circle that can be drawn on a sphere, representing the shortest path between two points on the surface of the sphere.

大圆是可以在球面上绘制的最大圆,表示球面上两点之间的最短路径。

例句

1.When planning flights, airlines often use great circles 大圆 to optimize travel time.

在规划航班时,航空公司通常使用great circles 大圆来优化旅行时间。

2.The shortest distance between two points on the globe is along a great circle 大圆 route.

地球上两点之间的最短距离是沿着一个great circle 大圆路线。

3.A great circle 大圆 divides the Earth into two equal halves.

一个great circle 大圆将地球分为两个相等的半球。

4.Geographers use great circles 大圆 to calculate distances between cities.

地理学家使用great circles 大圆来计算城市之间的距离。

5.Sailing around the world typically follows a great circle 大圆 path for efficiency.

环游世界的航行通常遵循一个great circle 大圆路径以提高效率。

作文

The concept of a great circle is fundamental in the fields of geography and navigation. A great circle is defined as the largest possible circle that can be drawn on a sphere, which divides the sphere into two equal halves. This is particularly important when it comes to understanding the shortest distance between two points on the surface of the Earth. When traveling long distances, such as from one continent to another, planes often follow the path of a great circle. For instance, if you were to fly from Los Angeles to Tokyo, the flight path would not be a straight line on a flat map but rather an arc that follows a great circle route. This phenomenon occurs because the Earth is a sphere, and the shortest distance between any two points on the surface of a sphere is always along a great circle. In practical terms, this means that airlines can save both time and fuel by following these routes, which ultimately benefits travelers by reducing flight times and costs. Understanding great circles is essential for pilots and navigators as they plan their courses across the globe. Moreover, the concept of a great circle extends beyond aviation; it also applies to maritime navigation. Ships navigating the vast oceans will also utilize great circle routes to ensure they are traveling the most efficient paths possible. This is especially critical in the age of global trade, where shipping times can significantly impact the economy. In addition to its practical applications, the great circle has interesting mathematical properties. For example, any two points on the surface of a sphere can be connected by multiple great circles, and these circles can intersect at various angles. This leads to fascinating discussions in geometry and trigonometry, where students explore the relationships between different circles and angles on a sphere. Furthermore, the study of great circles has implications in fields like astronomy and satellite communication. Satellites orbiting the Earth often need to consider great circle paths to optimize their coverage and communication capabilities. By aligning their orbits along these paths, satellites can maximize efficiency and effectiveness in transmitting signals back to Earth. In conclusion, the great circle is a vital concept that impacts various fields, from aviation and maritime navigation to mathematics and satellite technology. Its significance cannot be overstated, as it plays a crucial role in determining the shortest paths across our planet. As we continue to explore and understand our world, the principles of great circles will undoubtedly remain relevant and essential for many generations to come.

大圆的概念在地理和导航领域中是基础性的。大圆被定义为可以在球体上绘制的最大圆,它将球体分成两个相等的部分。这在理解地球表面两个点之间的最短距离时尤为重要。在进行长途旅行时,例如从一个大陆飞往另一个大陆,飞机通常会沿着大圆路径飞行。例如,如果你从洛杉矶飞往东京,航线不会在平面地图上呈现直线,而是沿着大圆路线的弧线。这种现象发生是因为地球是一个球体,而球体表面任何两点之间的最短距离总是沿着大圆。因此,这意味着航空公司可以通过遵循这些航线来节省时间和燃料,这最终使旅行者受益,减少了飞行时间和成本。理解大圆对飞行员和导航员在全球范围内规划航线至关重要。此外,大圆的概念不仅适用于航空,还适用于海洋导航。航行于广阔海洋的船只也会利用大圆航线,以确保它们尽可能高效地航行。在全球贸易的时代,这一点尤其重要,因为运输时间会显著影响经济。除了其实际应用外,大圆还具有有趣的数学特性。例如,球面上的任何两点都可以通过多个大圆连接,这些圆可以以不同的角度相交。这引发了几何和三角学中的迷人讨论,学生们探索不同圆和球面上角度之间的关系。此外,大圆的研究在天文学和卫星通信等领域也有重要意义。绕地球轨道运行的卫星通常需要考虑大圆路径,以优化其覆盖范围和通信能力。通过将轨道与这些路径对齐,卫星可以最大化效率和有效性,将信号传回地球。总之,大圆是一个重要的概念,影响着航空、海洋导航、数学和卫星技术等多个领域。它的重要性不容小觑,因为它在确定我们星球上最短路径方面发挥着关键作用。随着我们继续探索和理解我们的世界,大圆的原则无疑将在未来许多世代中保持相关性和必要性。