Geodesic dome home builders. It is an equality of vectors, which we can separate into components c(t) = (x(t), y(t)). In the original sense, a geodesic was the shortest route between two points on the Earth's surface. A geodesic is the shortest path between two points on a curved surface, such as a sphere. This can be thought of as a car driving, making sure its wheels are at the same speed, and always sticking to the surface: the geodesic is its path. How to use geodesic in a sentence. In the original sense, a geodesic was the shortest route between two points on the Earth's surface. In the plane, the geodesics are straight lines. Equivalently, it is a path that a particle which is not accelerating would follow. The formula for determining a sphere’s surface area is 4π r2; its volume is determined by (4/3)π r3. . 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. The geodesic equation may not look particularly appealing, but we’ll get used to it and its properties. On the sphere, the geodesics are great circles (like the equator). A Geodesic Dome is made with The meaning of GEODESIC is geodetic. In non-Euclidean geometry, a geodesic is typically described as a segment of a great circle. In the context of spherical geometry, geodesics are represented by great circles, which are the intersections of a sphere with a plane that passes through its center. Feb 14, 2026 · A geodesic is a locally length-minimizing curve. In mathematics, a geodesic is the “straightest” path between 2 points over a curved surface. For a spherical Earth, it is a segment of a great circle (see also great-circle distance). A Geodesic Dome is made with In Euclidean geometry, a geodesic is simply a straight line between two points on a surface. This means: It's the "straightest possible" path: If you were to zoom in on a small segment of the geodesic, it would look like a straight line. A geodesic, the shortest distance between any two points on a sphere, is an arc of the great circle through the two points. In most cases, this sort of geodesic line is actually curved to some degree. Illustrated definition of Geodesic: The shortest line segment between two points on a sphere or other curved surface. The meaning of GEODESIC is geodetic. Definition: A geodesic in a curved space is a curve that locally minimizes distance. In Euclidean geometry, a geodesic is simply a straight line between two points on a surface. 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 traversed to go from one point to the other. dsaxag fvkk psfux sww hvxn fsp uws lqmah vbecmhc tndaluw