# geodesic

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Related to geodesic: Geodesic distance, Geodesic sphere

## ge·o·des·ic

(jē′ə-dĕs′ĭk, -dē′sĭk)
1.
a. Of or relating to the geometry of geodesics.
b. Of or relating to geodesy.
2. Having a structure consisting of lightweight rods or poles joined so as to form interlocking polygons whose vertices lie on an imaginary sphere: a geodesic dome.
n.
The shortest path between two points on any mathematically defined surface.

[From geodesy.]

## geodesic

(ˌdʒiːəʊˈdɛsɪk; -ˈdiː-)
(Mathematics) Also: geodetic, geodetical or geodesical relating to or involving the geometry of curved surfaces
n
(Mathematics) Also called: geodesic line the shortest line between two points on a curved or plane surface
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## ge•o•des•ic

(ˌdʒi əˈdɛs ɪk, -ˈdi sɪk)

1. pertaining to the geometry of curved surfaces, in which geodesic lines take the place of the straight lines of plane geometry.
2. pertaining to geodesy; geodetic.
n.
[1815–25; < French géodésique]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 geodesic - (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 linemath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementline - a length (straight or curved) without breadth or thickness; the trace of a moving point Adj. 1 geodesic - of or relating to or determined by geodesy
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

## geodesic

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## geodesic

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
References in periodicals archive ?
Summary: Mumbai (Maharashtra) [India], July 2 (ANI): The BSE has suspended trading of shares of 10 companies, including Geodesic, J K Pharmachem, Teem Laboratories and Global Securities, following several complaints against them.
According to separate gazette notifications of the Swiss government, the country's federal tax department has agreed to provide 'administrative assistance' to India on requests made about Geodesic Ltd and Aadhi Enterprises Private Ltd.
You've also probably played on a sturdy all-triangle structure, the geodesic dome (right).
Lawrence River, it is impossible to miss the 200-foot-tall geodesic "Skybreak Bubble" located in the middle of Saint Helen's Island.
(TSE:6501) announced today that it has agreed to invest in a fund managed by Geodesic Capital, a venture capital company active mainly in Silicon Valley.
The error term O([x.sup.3/4]) in Theorem 1 yields O [x.sup.3/4]/log x in the prime geodesic theorem.
The redshift formula is derived by integration of the scalar geodesic equation for photons.
The area of the minimal surface equals the length of the geodesic on the boundary.
where [B.sup.+.sub.p](R)(resp., [B.sup.-.sub.p] (R)) denotes the forward (resp., back ward) geodesic ball of radius R centered at p and [??] is some constant depending on N, C, [eta], [vol.sup.d[mu].sub.F] ([B.sup.+.sub.p](1)) (resp., [vol.sup.d[mu].sub.F] ([B.sup.- .sub.p](1))).
[8] when the property N is not satisfied and k [member of] [0, 1), which is due to the open questions in [19], where the property N depends on whether its metric projection onto a geodesic segment preserves points on each geodesic segment, that is, for every geodesic segment [chi] [subset] X and x, y [member of] X, m [member of] [x, y] implies [P.sub.[chi]]m [member of] [[P.sub.[chi]] x, [P.sub.[chi]] y], where [P.sub.[chi]] denotes the metric projection from X onto y.
The integral geodesic distances are first calculated for each vertex on a mesh to construct the topological structure.
Gromov-see, e.g., [2], page 159) if it is geodesically connected, and if every geodesic triangle in X is at least as "thin" as its comparison triangle in the Euclidean plane.

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