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Geodesic Line (Noun)

Meaning

(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).

Classification

Nouns denoting two and three dimensional shapes.

Examples

  • The geodesic line on a spherical surface is the shortest path between two points and corresponds to an arc of a great circle.
  • In differential geometry, mathematicians study the properties of geodesic lines to determine the curvature of a surface.
  • The pilot navigated the aircraft along the geodesic line to ensure the shortest route between two airports on opposite sides of the Earth.
  • To find the shortest distance between two cities on a map, we need to follow the geodesic line on the Earth's surface.
  • The geodesic line of a flat torus can be a complex curve when viewed as a projection onto a two-dimensional surface.

Synonyms

  • Geodesic

Hypernyms

  • Line
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