Synonyms for Geodesic (same or very similar meaning)
WordNet sense 1 ((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 lineWordNet sense 2 (of or relating to or determined by geodesy):
geodetic, geodesicalFrom the ODE community, based on WordNetadd/edit