Skip to main content
spherical angle

spherical angle

9.3
The angle where two large circles on a sphere cross
  • noun
  • /ˈsfɪrɪkəl ˈæŋɡəl/
  • Specialized
translation icon : ángulo esférico
  • In spherical geometry, a spherical angle is defined as the angle formed by two intersecting arcs of great circles.

Examples

  • The navigators used spherical angles to accurately plot their courses across the globe's surface.

  • The geometry of a sphere starts with great circles and talks about spherical distances, spherical angles, your triangles, polar triangles.

  • To calculate the area on a sphere, one must consider the spherical angle created by the curves of the great circles.

Surface Forms

Morphology

spherical + angle

The meaning is directly compositional: 'spherical' (relating to a sphere) combined with 'angle' (a measure between lines) yields an angle on a sphere, so a learner who knows both words can infer the basic concept. While the precise mathematical detail about great circles is technical, the core idea (an angle defined on a spherical surface) is transparently derivable from the constituents.

Etymology

The noun spherical angle comes from looking at angles on a globe: spherical means 'round like a ball' and angle is the space between two lines. Imagine two curved lines on the ball that meet at one point — the space between them there is the spherical angle, so the term means the angle made by two arcs on the surface of a sphere.