Normal geodesic is a term used in differential geometry to define a path on a manifold. It is a curve that follows the path of least distance between two given points on the surface. However, there are many other synonyms for normal geodesic. These include Fermi-walker transported geodesic, autoparallel, self-parallel, invariant geodesic, and so on. Each of these terms refers to specific properties and characteristics of the path and its relation to the curvature of the manifold. Understanding these synonyms is crucial for understanding the underlying geometrical concepts and their applications in various fields, including physics, engineering, and computer science.