geodesical

geodesic

[jee-uh-des-ik, -dee-sik]
1.
Also, geodesical. pertaining to the geometry of curved surfaces, in which geodesic lines take the place of the straight lines of plane geometry.
noun

Origin:
1815–25; < French géodésique. See geodesy, -ic

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World English Dictionary
 geodesic (ˌdʒiːəʊˈdɛsɪk, -ˈdiː-) —adj 1. geodetic, Also: geodesical relating to or involving the geometry of curved surfaces —n 2. Also called: geodesic line the shortest line between two points on a curved or plane surface

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Etymonline
Word Origin & History

geodesic
1821, from geodesy "surveying" (1570), from Gk. geodaisia "division of the earth," ult. from ge "earth, land" + daiein "divide."
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 geodesic   (jē'ə-děs'ĭk, -dē'sĭk)  Pronunciation Key  Noun   A curve that locally minimizes the distance between two points on any mathematically defined space, such as a curved manifold. Equivalently, it is a path of minimal curvature. In noncurved three-dimensional space, the geodesic is a straight line. In General Relativity, the trajectory of a body with negligible mass on which only gravitational forces are acting (i.e. a free falling body) is a geodesic in (curved) 4-dimensional space-time. Adjective   Of or relating to the branch of geometry that deals with geodesics.
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