Do it yourself home improvement and diy repair at Doityourself.com. Includes home improvement projects, home repair, kitchen remodeling, plumbing, electrical, painting, real estate, and decorating.
A geodesic triangle on the sphere. A geodesic triangle is formed by the geodesics joining each pair out of three points on a given surface. On the sphere, the geodesics are great circle arcs, forming a spherical triangle. Geodesic triangles in spaces of positive (top), negative (middle) and zero (bottom) curvature.
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. On the sphere, the geodesics are great circles (like the equator). The geodesics in a space depend on the Riemannian metric, which affects the notions of distance and acceleration. Geodesics preserve a direction on a ...
Other articles where geodesic is discussed: relativity: Curved space-time and geometric gravitation: …the shortest natural paths, or geodesics—much as the shortest path between any two points on Earth is not a straight line, which cannot be constructed on that curved surface, but the arc of a great circle route. In Einstein’s theory, space-time geodesics define the deflection of light ...
A geodesic is the shortest or locally shortest path between two points on a curved surface or in a curved space. On a sphere, geodesics are great circles; on a flat plane, they are straight lines.
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.