A geodesic is a curve whose tangent vector is parallel along the curve. Equivalently, it has zero covariant acceleration; on an embedded surface, a unit-speed geodesic has acceleration normal to the surface.
A geodesic is the shortest path between two points on a curved surface or in a curved space. In mathematics and physics, this concept is often applied in differential geometry and general relativity. - **In Geometry**: On a sphere, for example, geodesics are represented by great circles (like the equator or the lines of longitude).
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