Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 adjective Of or relating to the geometry of geodesics.
 adjective Of or relating to geodesy.
 adjective Having a structure consisting of lightweight rods or poles joined so as to form interlocking polygons whose vertices lie on an imaginary sphere.
 noun The shortest path between two points on any mathematically defined surface.
from The Century Dictionary.
 Same as
geodetic  noun A geodesic line.
from the GNU version of the Collaborative International Dictionary of English.
 noun A geodetic line or curve.
 adjective (Math.) Of or pertaining to geodesy; geodetic.
 adjective (Architecture) Made of lightweight structural supporting elements connected in a manner to provide great rigidity;  of structures.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun mathematics the
shortest line between two points on aspecific surface  adjective of or relating to
geodesy  adjective of or relating to a
geodesic dome
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adjective of or relating to or determined by geodesy
 noun (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)
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
Examples

Ventura Puente and Camelinas (the southern periferico) sit the Convention Center, Planetarium, Teatro Morelos, and the Orquidario  twin geodesic domes house an outstanding orchid collection.

Ventura Puente and Camelinas (the southern periferico) sit the Convention Center, Planetarium, Teatro Morelos, and the Orquidario  twin geodesic domes house an outstanding orchid collection.

Also, the precise mathematical form Poincaré chose had to make the Poincaréline that joins any two points the shortest path between them called a geodesic, just as the usual line is the shortest path between points in Euclidean space.

Also, the precise mathematical form Poincaré chose had to make the Poincaréline that joins any two points the shortest path between them called a geodesic, just as the usual line is the shortest path between points in Euclidean space.

Also, the precise mathematical form Poincaré chose had to make the Poincaréline that joins any two points the shortest path between them called a geodesic, just as the usual line is the shortest path between points in Euclidean space.

Great circle path truest shortest, aka geodesic bulges towards southeast.

A geodesic is the shortest path between two points.

The equation of motion is then the socalled geodesic equation, the shortest curve in an arbitrary background, which is not usually  as in flat space, e.g. a lawn  just a straight line:

Gravitons are not a relativity claim, it is an attempt to make gravity into a gauge field theory like electromagnetism and nuclear forces, which use bosons to mediate interactions between particles (and there's no evidence for it) ... general relativity explains gravity as particles following a "geodesic" in the warped geometry of spacetime

Gravitons are not a relativity claim, it is an attempt to make gravity into a gauge field theory like electromagnetism and nuclear forces, which use bosons to mediate interactions between particles (and there's no evidence for it) ... general relativity explains gravity as particles following a "geodesic" in the warped geometry of spacetime
superlogos commented on the word geodesic
as in geodesic dome
August 29, 2008