Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 adj. Of or relating to the geometry of geodesics.
 adj. Of or relating to geodesy.
 n. The shortest line between two points on any mathematically defined surface.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. the shortest line between two points on a specific surface
 adj. of or relating to geodesy
 adj. of or relating to a geodesic dome
from the GNU version of the Collaborative International Dictionary of English
 adj. Of or pertaining to geodesy; geodetic.
 adj. Made of lightweight structural supporting elements connected in a manner to provide great rigidity;  of structures.
 n. A geodetic line or curve.
from The Century Dictionary and Cyclopedia
 Same as geodetic
 n. A geodesic line.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adj. of or relating to or determined by geodesy
 n. (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
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.

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

My dad sold and built geodesic domes and we lived in one from the time I was 8 to when I graduated from high school.

My boss just made a joke about geodesic domes buildings being the “wave of the future” last week.

If the satellite turned on a rocket and left its geodesic, then it would be acted on by a force, but that force would be due to the rocket.

Regulars have gone on at length, to me, about the various types of Barbie one may collect, geodesic dome houses, and all sort of other veins of human interest.
superlogos commented on the word geodesic
as in geodesic dome
August 29, 2008