In the original sense, a geodesic was the shortest route between two points on the Earth's surface. For a spherical Earth, it is a segment of a great circle (see also great-circle distance).

Dec 3, 2025 · A geodesic is a locally length-minimizing curve. Equivalently, it is a path that a particle which is not accelerating would follow. In the plane, the geodesics are straight lines. …

Joseph Howlett, Quanta Magazine, 3 Mar. 2025 In fact, for curved spaces, the shortest path is what’s known as a geodesic: the generalization of a straight, flat line to a curved space.

Illustrated definition of Geodesic: The shortest line segment between two points on a sphere or other curved surface. A Geodesic Dome is made with...

A geodesic, the shortest distance between any two points on a sphere, is an arc of the great circle through the two points. The formula for determining a sphere’s surface area is 4π r2; its …

A geodesic is a generalization of the notion of a “straight line” from a plane to a surface, on which it represents in some sense the shortest path between two points.

Mar 5, 2012 · The notion of a geodesic line (also: geodesic) is a geometric concept which is a generalization of the concept of a straight line (or a segment of a straight line) in Euclidean …

Feb 1, 2024 · Geodesic polyhedra are defined by the equilateral triangles of the primary face (i.e., the face of the underlying tetrahedron, octahedron, or icosahedron) laid out on a 60° grid so …

Given any two points in a graph or hypergraph one can find a (not necessarily unique) shortest path (or “ geodesic ”) between them, as measured by the number of edges or hyperedges …

Geodesy is the science of accurately measuring and understanding the Earth's geometric shape, orientation in space, and gravity field. Using GPS, geodesists can monitor the movement of a …