# geodesic line

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## geodesic line

[¦jē·ə¦des·ik ′līn]
(mathematics)
The shortest line between two points on a mathematically derived surface.

## geodesic line

The shortest line, on a mathematically derived surface, between two points. Also called geodesic. A geodesic line on the spheroidal earth is called a geodetic line. It is a portion of the great-circle arc. See geodesic.
References in periodicals archive ?
For two neighbour geodesic lines, the following relation is obviously true
We are now going to obtain solutions to the deviation equation for geodesic lines (the Synge equation).
17) the Synge equation (the geodesic lines deviation equation) in its final form
15), their relative time deviation is zero, [phi] = 0 (the time flow measured on both geodesic lines is the same).
This formula is known as the geodesic lines deviation equation or the Synge equation.
The motion of a satellite by means of non-isotropic (non-null) geodesic lines equations is described.
We obtain the exact solution of the non-isotropic (non-null) geodesic lines equations.
Solving the null geodesic lines equations for this metric, we obtained in  that an anisotropy of the velocity of light exists in the z-direction.
Solving the non-null geodesic lines equations describing its motion, we obtained from formula (36)

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