geodesic line Synonyms
No Synonyms and anytonyms found
geodesic line Meaning
Wordnet
geodesic line (n)
(mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere)
geodesic line Sentence Examples
- The geodesic line measures the shortest distance between two points on a curved surface.
- In Riemannian geometry, geodesic lines are curves that minimize distance.
- The trajectories of celestial bodies often follow geodesic lines in spacetime.
- The great circle on a sphere is an example of a geodesic line.
- The path of light in general relativity is determined by the geodesic lines of spacetime.
- The geodesic line connecting two points on a surface is unique if the surface is convex.
- The concept of geodesic lines is crucial in understanding the curvature of surfaces.
- Navigation systems utilize geodesic lines to calculate the shortest routes.
- The study of geodesic lines has applications in physics, mathematics, and engineering.
- The geodesic line between two points on a hyperbolic surface is infinitely long.
FAQs About the word geodesic line
(mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere)
No synonyms found.
No antonyms found.
The geodesic line measures the shortest distance between two points on a curved surface.
In Riemannian geometry, geodesic lines are curves that minimize distance.
The trajectories of celestial bodies often follow geodesic lines in spacetime.
The great circle on a sphere is an example of a geodesic line.
