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Definition of Geodesic
1. Noun. (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).
2. Adjective. Of or relating to or determined by geodesy.
Partainyms: Geodesy, Geodesy, Geodesy
Derivative terms: Geodesy, Geodesy, Geodesy
Definition of Geodesic
1. a. Of or pertaining to geodesy; geodetic.
2. n. A geodetic line or curve.
Definition of Geodesic
1. Noun. (mathematics) the shortest line between two points on a specific surface ¹
2. Adjective. of or relating to geodesy ¹
3. Adjective. of or relating to a geodesic dome ¹
¹ Source: wiktionary.com
Definition of Geodesic
1. a geometric line [n -S]
Lexicographical Neighbors of Geodesic
Literary usage of Geodesic
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Encyclopedia Americana: A Library of Universal Knowledge (1920)
"(P) a geodesic may cease to be a shortest curve when prolonged. A string stretched
on a surface lies in a geodesic; keeping one extremity of the string ..."
2. Geometry of Riemannian Spaces by Elie Cartan (1983)
"A geodesic surface at A has at this point its two principal zero curvatures,
since the normal curvature is zero when a passage is made from the point A to a ..."
3. South African Journal of Science by South African Association for the Advancement of Science (1903)
"MA, D.Sc., FRSE i In this paper the length of the arc of a geodesic drawn . i
... iiiit on the geodesic and the given point is expressed as an . ..."
4. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"The first integral of a geodesic /t'cos't + v"sin*i = /i'1 can be thrown into a
form in which the variables are separated, and the second integral can be ..."
5. A Treatise on Infinitesimal Calculus: Containing Differential and Integral by Bartholomew Price (1865)
"I ; the latter gives the value of the radius of geodesic curvature in terms of the
... Since for a geodesic <p = 0, the radius of geodesic curvature of a ..."
6. Smithsonian Geographical Tables by Smithsonian Institution, Robert Simpson Woodward (1906)
"The difference between the astronomical azimuth аи and the geodesic azimuth a1u
is expressed by the following formula : au — а'1. ..."
7. Encyclopaedia Britannica: A Standard Work of Reference in Art, Literature (1907)
"That is to say, the osculating plane at any point of a geodesic line contains
... Now if AB, BC be two contiguous elements of a geodesic, then BM must be a ..."
8. The Boston Colloquium Lectures on Mathematics by Edward Burr Van Vleck, Henry Seely White, Frederick Shenstone Woods (1905)
"A geodesic line is completely and uniquely determined by any two points. 2.
A geodesic surface is completely and uniquely determined by any three points not ..."
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