spherical trigonometry

简明释义

球面三角学

英英释义

例句

1.In astronomy, spherical trigonometry is essential for calculating the positions of stars and planets.

在天文学中，球面三角学对于计算星星和行星的位置至关重要。

2.Surveyors use spherical trigonometry to determine land boundaries on a spherical Earth.

测量员使用球面三角学来确定球形地球上的土地边界。

3.Navigators often rely on spherical trigonometry to plot their courses over long distances.

航海家们常常依赖于球面三角学来绘制他们的长途航线。

4.The principles of spherical trigonometry can be applied in GPS technology to improve accuracy.

可以在GPS技术中应用球面三角学的原理以提高精度。

5.Understanding spherical trigonometry is crucial for pilots navigating through the skies.

理解球面三角学对飞行员在空中导航至关重要。

作文

Spherical trigonometry, or spherical trigonometry (球面三角学), is a branch of mathematics that deals with the relationships between angles and distances on the surface of a sphere. Unlike planar trigonometry, which concerns flat surfaces, spherical trigonometry is essential for various applications in fields such as astronomy, navigation, and geography. Understanding spherical trigonometry is crucial for anyone involved in these disciplines, as it provides the necessary tools to solve problems related to spherical shapes.The foundations of spherical trigonometry are built upon the concept of spherical triangles, which are formed by three points on the surface of a sphere. These points are connected by arcs of great circles, which are the shortest paths between them. The angles of a spherical triangle are measured at the vertices, and the sides are represented by the arcs of the great circles. This unique structure leads to different rules and formulas compared to those found in planar trigonometry.One of the most significant aspects of spherical trigonometry is its use in calculating distances and angles between celestial bodies. For example, astronomers rely on spherical trigonometry to determine the positions of stars and planets in the night sky. By understanding the relationships between these celestial objects, they can predict their movements and make sense of the vast universe around us.In navigation, spherical trigonometry plays a vital role in charting courses over the Earth's surface. Sailors and aviators use spherical trigonometry to calculate the shortest routes between two points on a globe, taking into account the curvature of the Earth. This is particularly important for long-distance travel, where a straight line on a map does not accurately represent the actual distance traveled.Moreover, spherical trigonometry is also applied in the field of geography, particularly in cartography. When creating maps, cartographers must consider the curvature of the Earth to ensure accurate representations of landmasses and distances. By applying the principles of spherical trigonometry, they can create more precise maps that help people navigate the world.Learning spherical trigonometry can initially seem daunting due to its complex concepts and formulas. However, with practice and application, one can develop a strong understanding of this mathematical discipline. Many educational institutions offer courses in spherical trigonometry, often as part of a broader curriculum in mathematics or physics. Students are encouraged to engage with real-world applications to reinforce their learning and gain a deeper appreciation for the subject.In conclusion, spherical trigonometry is an indispensable tool in various scientific fields, providing essential knowledge for understanding the relationships between angles and distances on a sphere. Whether in astronomy, navigation, or geography, the principles of spherical trigonometry enable professionals to solve complex problems and enhance our understanding of the world and beyond. As we continue to explore and learn about our universe, the importance of spherical trigonometry will only grow, making it a fundamental area of study for future generations.

球面三角学（spherical trigonometry）是数学的一个分支，涉及球面上角度和距离之间的关系。与平面三角学不同，spherical trigonometry 处理的是曲面，因此在天文学、导航和地理等领域具有重要应用。理解 spherical trigonometry 对于任何参与这些学科的人来说都是至关重要的，因为它提供了解决与球形相关的问题所需的工具。spherical trigonometry 的基础建立在球面三角形的概念上，这些三角形由球面上的三个点构成。这些点通过大圆弧连接，大圆是它们之间的最短路径。球面三角形的角度在顶点处测量，边由大圆的弧表示。这种独特的结构导致与平面三角学中的规则和公式有所不同。spherical trigonometry 的一个重要方面是它在计算天体之间的距离和角度方面的应用。例如，天文学家依赖 spherical trigonometry 来确定夜空中星星和行星的位置。通过理解这些天体之间的关系，他们可以预测它们的运动，并理解我们周围广阔的宇宙。在导航中，spherical trigonometry 在绘制地球表面的航线中发挥着重要作用。水手和飞行员使用 spherical trigonometry 来计算地球上两点之间的最短路线，同时考虑到地球的曲率。这对于长途旅行尤为重要，因为地图上的直线并不能准确反映实际的行驶距离。此外，spherical trigonometry 还应用于地理学，特别是在制图学中。当制图师制作地图时，必须考虑地球的曲率，以确保土地和距离的准确表示。通过应用 spherical trigonometry 的原理，他们可以创建更精确的地图，帮助人们在世界中导航。学习 spherical trigonometry 起初可能会因为其复杂的概念和公式而显得令人畏惧。然而，通过实践和应用，人们可以逐渐掌握这一数学学科。许多教育机构提供 spherical trigonometry 课程，通常作为数学或物理学更广泛课程的一部分。鼓励学生通过与现实世界的应用互动来加强学习，并对该学科有更深刻的理解。总之，spherical trigonometry 是各科学领域中不可或缺的工具，为理解球面上角度和距离之间的关系提供了必要的知识。无论是在天文学、导航还是地理学中，spherical trigonometry 的原理使专业人士能够解决复杂问题，增强我们对世界及其以外事物的理解。随着我们继续探索和学习我们的宇宙，spherical trigonometry 的重要性只会增加，使其成为未来几代人研究的基础领域。