Etymology
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geodesic (adj.)

1809, from geodesy "surveying" + -ic; earlier was geodesical (1818). Alternative geodetic, from the classical stem, is from 1819; geodetical is from c. 1600. Geodesic dome, one built according to geodesic principles, is attested from 1953.

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Definitions of geodesic
1
geodesic (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);
Synonyms: geodesic line
2
geodesic (adj.)
of or relating to or determined by geodesy;
Synonyms: geodetic / geodesical
From wordnet.princeton.edu