Example image of eyePlorer eyePlorer map for 'Geodesic': Line (geometry) Manifold Mathematics Local property Metric (mathematics) Affine connection Parallel transport Tangent vector Earth Geodesy Great circle Line segment Surface Graph theory General relativity Test particle Calculus of variations Curve Equation Rubber band Metric space Riemannian geometry Physics Point particle Orbit Satellite Sub-Riemannian manifold Pseudo-Riemannian manifold Riemannian manifold Geodesic (general relativity) Euclidean geometry Sphere Antipodal point Distance Mathematical constant Intrinsic metric Metric tensor Infimum Open set Action (physics) Energy functional Cauchy–Schwarz inequality Christoffel symbols Euler–Lagrange equation First variation Critical point Jacobi field Classical mechanics Geodesics as Hamiltonian flows Hamiltonian mechanics