👉 In mathematics, a geodesic is a curve on a surface that is defined by a set of parametric equations. This definition encompasses both Euclidean and non-Euclidean geometries, as well as complex surfaces with additional constraints. Geodesics are fundamental in various branches of physics, such as celestial mechanics, optics, and electromagnetism. They serve as a bridge between the two-dimensional world of space-time and the three-dimensional world of physical reality. In Euclidean geometry, a ge
