loxodromic spiral

简明释义

恒向螺旋线

英英释义

例句

1.The loxodromic spiral appears frequently in the study of geodesics on a sphere.

洛索德罗米克螺旋在球面测地线的研究中经常出现。

2.In mathematics, the loxodromic spiral can be used to describe certain types of curves on a sphere.

在数学中，洛索德罗米克螺旋可以用来描述球面上的某些类型的曲线。

3.The loxodromic spiral is an important concept in navigation, as it represents a path of constant bearing.

洛索德罗米克螺旋是导航中的一个重要概念，因为它代表了一条恒定方位的路径。

4.When plotting a course on a map, sailors use the loxodromic spiral technique to ensure they can reach their destination efficiently.

在地图上绘制航线时，水手们使用洛索德罗米克螺旋技术，以确保能够高效到达目的地。

5.The path taken by a ship navigating the ocean often resembles a loxodromic spiral, which allows it to maintain a constant compass direction.

一艘在海洋中航行的船只所走的路线通常类似于洛索德罗米克螺旋，这使它能够保持恒定的航向。

作文

The concept of a loxodromic spiral is fascinating not only in mathematics but also in navigation and geography. A loxodromic spiral refers to a curve on the surface of a sphere that crosses all meridians at the same angle. This property makes it particularly useful for sailors and aviators who need to plot a course over the Earth's curved surface. Unlike great circles, which represent the shortest distance between two points on a sphere, loxodromic spirals allow for a constant compass bearing, making them easier to navigate. To understand the significance of a loxodromic spiral, we can look at its mathematical representation. The loxodromic spiral can be described using polar coordinates, where the distance from the origin increases exponentially as one moves around the spiral. This characteristic means that the spiral expands outward while maintaining its angle with respect to the meridians. As a result, a navigator can follow a loxodromic spiral without needing to constantly adjust their heading, which is a significant advantage when traversing vast oceanic distances.Furthermore, the loxodromic spiral has practical applications beyond navigation. It is also relevant in fields like physics and engineering, where understanding the behavior of curves on a spherical surface can lead to advancements in various technologies. For instance, when designing satellites or other spacecraft, engineers must consider the trajectories that resemble loxodromic spirals to optimize fuel efficiency and travel time.In addition to its technical aspects, the loxodromic spiral embodies a deeper philosophical meaning. It symbolizes the journey of life, where individuals often find themselves navigating through complex paths while trying to maintain direction. Just as a sailor follows a loxodromic spiral across the ocean, people must often adapt to changing circumstances while staying true to their goals. This metaphorical interpretation adds richness to the concept, encouraging us to embrace the twists and turns of our own personal journeys.Moreover, the beauty of a loxodromic spiral lies in its aesthetic appeal. Artists and designers have drawn inspiration from this mathematical phenomenon, incorporating spiral patterns in their work. The intricate design of a loxodromic spiral can be seen in various forms of art, architecture, and nature, showcasing the interplay between mathematics and creativity.In conclusion, the loxodromic spiral is more than just a mathematical construct; it is a powerful tool for navigation, a source of inspiration in various fields, and a metaphor for life's journey. Understanding the loxodromic spiral enriches our appreciation for the interconnectedness of mathematics, art, and human experience. As we continue to explore the complexities of our world, the loxodromic spiral serves as a reminder of the beauty and utility found in the curves of our universe.

“loxodromic spiral”（航线螺旋）的概念不仅在数学上令人着迷，而且在导航和地理学中也具有重要意义。“loxodromic spiral”是指在球面上以相同角度穿越所有经线的曲线。这一特性使得它对于需要在地球弯曲表面上绘制航线的水手和飞行员特别有用。与代表两点之间最短距离的大圆不同，“loxodromic spiral”允许保持恒定的罗盘航向，从而使导航变得更加简单。为了理解“loxodromic spiral”的重要性，我们可以看看它的数学表示。“loxodromic spiral”可以用极坐标来描述，其中从原点的距离随着沿螺旋移动而呈指数增长。这一特性意味着螺旋向外扩展，同时保持与经线的角度。因此，导航员可以沿着“loxodromic spiral”航行，而无需不断调整航向，这在横跨广阔海洋时是一个显著的优势。此外，“loxodromic spiral”在导航之外还有实际应用。它在物理和工程等领域也很相关，理解球面上曲线的行为可以推动各种技术的进步。例如，在设计卫星或其他航天器时，工程师必须考虑类似“loxodromic spiral”的轨迹，以优化燃料效率和旅行时间。除了其技术方面，“loxodromic spiral”还蕴含了更深的哲学意义。它象征着生活的旅程，个人常常发现自己在复杂的路径中航行，同时努力保持方向。就像水手沿着“loxodromic spiral”穿越海洋一样，人们也必须经常适应变化的环境，同时忠于自己的目标。这种隐喻解释为这一概念增添了丰富性，鼓励我们拥抱自己人生旅途中的曲折和转折。此外，“loxodromic spiral”的美在于其美学吸引力。艺术家和设计师从这一数学现象中汲取灵感，将螺旋图案融入他们的作品中。“loxodromic spiral”的复杂设计可以在各种艺术、建筑和自然形式中看到，展示了数学与创造力之间的相互作用。总之，“loxodromic spiral”不仅仅是一个数学构造；它是导航的强大工具，是各个领域灵感的源泉，也是生活旅程的隐喻。理解“loxodromic spiral”丰富了我们对数学、艺术和人类经验相互联系的欣赏。随着我们继续探索世界的复杂性，“loxodromic spiral”提醒我们在宇宙的曲线中发现的美与实用。