# geodesic

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## ge·o·des·ic

(jē′ə-dĕs′ĭk, -dē′sĭk)
1.
a. Of or relating to the geometry of geodesics.
b. Of or relating to geodesy.
2. Having a structure consisting of lightweight rods or poles joined so as to form interlocking polygons whose vertices lie on an imaginary sphere: a geodesic dome.
n.
The shortest path between two points on any mathematically defined surface.

[From geodesy.]

## geodesic

(ˌdʒiːəʊˈdɛsɪk; -ˈdiː-)
(Mathematics) Also: geodetic, geodetical or geodesical relating to or involving the geometry of curved surfaces
n
(Mathematics) Also called: geodesic line the shortest line between two points on a curved or plane surface
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ge•o•des•ic

(ˌdʒi əˈdɛs ɪk, -ˈdi sɪk)

1. pertaining to the geometry of curved surfaces, in which geodesic lines take the place of the straight lines of plane geometry.
2. pertaining to geodesy; geodetic.
n.
[1815–25; < French géodésique]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 geodesic - (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 linemath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementline - a length (straight or curved) without breadth or thickness; the trace of a moving point Adj. 1 geodesic - of or relating to or determined by geodesy
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

## geodesic

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## geodesic

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
References in periodicals archive ?
The redshift formula is derived by integration of the scalar geodesic equation for photons.
Section 3 focuses on the geodesic equation in the cases of massless particle motion (L = 0) and massive particle motion (L = -1).
Beyond its importance in mathematical physics, it appears also as a geodesic equation on diffeomorphism group of a circle with right invariant [L.sup.2] metric (see [15] and references therein).
Liu, "3D Path planning based on nonlinear geodesic equation," in Proceedings of the 11th IEEE International Conference on Control and Automation, pp.
In the framework of ED, each component [[theta].sup.j] with j = 1, ..., n is a solution of the geodesic equation [11]
Here we have obtained all nonzero 2 + 1 dimensional "4-velocity" components for the geodesic equation. Next we would like to study the CM energy of the two-particle collision in the background of the BTZ black hole.
The geodesic equation becomes non-inertial forces as a result of the variation in the local index of refraction and motion the tetrad field represents.
To analyze this, we first use geodesic equation to obtain the derivative d[v.sup.i]/dt of coordinate of the velocity vector.
As a result, we obtain the scalar geodesic equation, which is the equation of energy of the particle, and the vectorial geodesic equation (the three-dimensional equation of motion).
Here we are interested in the derivation of the generalized geodesic equation of motion such that our geodesic paths correspond to the formal solution of the quantum gravitational wave equation in the preceding section.
Therefore, looking for anisotropy in the distribution of the photons' trajectories in the field, we are interested to solve only the third isotropic geodesic equation of (70), which is the equation of motion of a photon along the z-axis orthogonal to the light beam's direction r.

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