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What Is A Geodesic? In this informative video, we will explore the fascinating concept of geodesics and their significance in both mathematics and science. Geodesics represent the locally shortest path between two points on curved surfaces, such as spheres or ellipsoids. We will discuss how these curves relate to geodesy, the science of measuring the Earth's size and shape, and the role they play in spherical geometry through arcs of great circles. Moreover, we will touch upon the historical context of geodesics, particularly their connection to the development of calculus of variations and the contributions of notable mathematicians like Carl-Friedrich Gauss and Carl Jacobi. Their work laid the groundwork for advancements in differential geometry and general relativity, which are crucial for understanding concepts like gravitational waves and black holes. Additionally, we will highlight the applications of geodesics in modern science, including their importance in computer science and engineering for finding shortest paths in complex networks. Join us for this engaging discussion on geodesics and their impact on our understanding of the natural world. Don't forget to subscribe to our channel for more enlightening content on the history of science and mathematics. ⬇️ Subscribe to our channel for more valuable insights. 🔗Subscribe: https://www.youtube.com/@Science-Thro... #Geodesics #MathInScience #Geometry #SphericalGeometry #CalculusOfVariations #GeneralRelativity #CarlFriedrichGauss #CarlJacobi #DifferentialGeometry #GravitationalWaves #BlackHoles #ComputerScience #Engineering #ShortestPath #ScienceHistory About Us: Welcome to Science Through Time, where we embark on an exciting journey through the fascinating world of science! Our channel is dedicated to exploring the incredible milestones that have shaped scientific discovery throughout history. From groundbreaking experiments to revolutionary theories, we delve into the stories behind the great minds and pivotal moments that have defined our understanding of the universe.