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geodesic

[jee-uh-des-ik, -dee-sik] /ˌdʒi əˈdɛs ɪk, -ˈdi sɪk/
adjective
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
1815-1825
1815-25; < French géodésique. See geodesy, -ic
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for geodesical

geodesic

/ˌdʒiːəʊˈdɛsɪk; -ˈdiː-/
adjective
1.
Also geodetic, geodesical. relating to or involving the geometry of curved surfaces
noun
2.
Also called geodesic line. the shortest line between two points on a curved or plane surface
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin and History for geodesical

geodesic

adj.

1821, from geodesy "surveying" + -ic. Alternative adjective form geodetic is from 1834; geodetical is from c.1600. Geodesic dome attested from 1953.

Online Etymology Dictionary, © 2010 Douglas Harper
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geodesical in Science
geodesic
  (jē'ə-děs'ĭk, -dē'sĭk)   
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.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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