geodesic etymology

Etymology:

Geodesic comes from the Greek words "ge" (earth) and "daiein" (to divide), meaning "earth dividing."

Meaning:

Geodesic refers to a line or surface that divides a three-dimensional object into two equal parts. It is a generalization of the concept of a straight line in Euclidean geometry.

Origin:

The term "geodesic" was first introduced by the mathematician Bernhard Riemann in the mid-19th century. Riemann used geodesics to study the curvature of surfaces. The concept has since been extended to more general spaces, such as Riemannian manifolds and pseudo-Riemannian manifolds.

Usage:

Geodesics are used in a variety of applications, including:

• Cartography: Geodesic lines are used to represent great circles on a globe, which are the shortest paths between two points.
• Differential geometry: Geodesic curves are used to study the curvature of surfaces and higher-dimensional spaces.
• Physics: Geodesics are used to describe the paths of particles moving in curved spacetime, according to Einstein's theory of general relativity.

geodesic relate terms

• geodesy

  Etymology From Greek geodaisia meaning measurement of the Earth Derived from ge

• Gaia

  Etymology Greek Γαῖα Gaîa Meaning Mother Earth the personification of the

• geodetic

  Etymology The term geodetic is derived from the Greek words gē γῆ meaning

• geodesic

  Etymology Geodesic comes from the Greek words ge earth and daiein to divide mea

• line

  Etymology The word line originates from the Old French word ligne which in turn deri

• dome

  Etymology The word dome comes from the Latin word domus meaning house or building

• crib

  Etymology The word crib comes from the Middle English cribbe which in turn comes fr

• wait

  Etymology Old English wæht Proto Germanic wahti Proto Indo European weh t woh t

• shall

  Etymology Origin Old English sceal to owe be obliged from Proto Germanic skula

• commonwealth

  Etymology The word commonwealth is derived from the Middle English term common wele

• change

  Etymology Etymology is the study of the origin and development of words It traces words