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# geodesic

[jee-uh-des-ik, -dee-sik] /ˌdʒi əˈdɛs ɪk, -ˈdi sɪk/
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
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for geodesical

## geodesic

/ˌdʒiːəʊˈdɛsɪk; -ˈdiː-/
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
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for geodesical
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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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