spherical geometry

"Spherical geometry" is a branch of mathematics focusing on shapes and figures on the surface of a sphere, distinct from planar geometry.

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Definition

C1Mathematics

(technical, academic)The study of geometric properties and relationships of points, lines, and figures on a sphere.

Example

  • In spherical geometry, the sum of the angles of a triangle exceeds 180 degrees.
  • Great circles, such as the Earth's equator, are fundamental concepts in spherical geometry.

B2Navigation

(practical)Application of spherical geometric principles to determine routes and distances for travel on a spherical surface like Earth.

Example

  • Navigators use spherical geometry to chart courses across the globe.
  • Understanding spherical geometry is crucial for accurate long-distance navigation.

Similar

Terms that have similar or relatively close meanings to "spherical geometry":

hyperbolic geometrycontact geometryconformal geometrycomplex geometrycrystal spherefinite geometrycelestial sphereabsolute geometrygreat circlecombinatorial geometry