KnowraGeodesicLinked fromLinked fromThe 68 pages that link to Geodesic, each with the reason it gives.All 68Broader topic 9Related 44Narrower topic 9Compared with 6Spherical geometryNarrower topic: On a sphere, geodesics are arcs of great circles.Great circleNarrower topic: Great circles are geodesics on a sphere.Elliptic geometryNarrower topic: Great-circle lines are geodesics in the spherical model.Rhumb lineNarrower topic: Rhumb lines are one family of paths on a sphere, distinct from its shortest geodesics.Hopf–Rinow theoremNarrower topic: Geodesic completeness asks whether every such curve extends indefinitely.Hyperbolic triangleNarrower topic: Each side is a geodesic, rather than an arbitrary curve in the hyperbolic plane.Penrose–Hawking singularity theoremsNarrower topic: The theorems define incompleteness by showing that certain geodesics end after finite affine or proper time.Clairaut's relationNarrower topic: Clairaut's relation describes how a geodesic travels across a surface of revolution.Gauss's lemma (differential geometry)Narrower topic: Radial curves under the exponential map are geodesics, and their constant speed drives the lemma.