ge′odes′ic line′

the shortest line lying on a given surface and connecting two given points.

[1885–90]

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Noun

geodesic line - (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

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

line - a length (straight or curved) without breadth or thickness; the trace of a moving point

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References in periodicals archive

This is an unusual property of the Hilbert geometry in a triangle, and means that there is not a unique geodesic line joining two different points.

Maple exploration of Hilbert geometry in a triangle

In differential geometry, geodesic line has a strict definition, i.e.

A connected graph based shape descriptor for comparing 3D CAD models/3D CAD modeliu palyginimas naudojant jungtiniu grafu profilio vaizda

This Newtonian equation remains in tact when we are in curved spacetime, and in a reference frame that freely falls along a geodesic line. Thus the Newtonian time t must now interpreted as the proper time [micro] measured along the geodesic.

Geodetic precession of the spin in a non-singular gravitational potential

The deviation of the geodesic line [GAMMA](v +dv) from the geodesic line [GAMMA](v) can be found by solving the equation [17]

Gravitational waves and gravitational inertial waves in the general theory of relativity: a theory and experiments

which is the actual fact that the absolute differential D[U.sup.[alpha]] = = d[U.sup.[alpha]] + [[GAMMA].sup.[alpha].sub.[mu][nu]][U.sup.[mu]][dx.sup.[nu]] of a tangential vector [U.sup.[alpha]] (the velocity world-vector [U.sup.[alpha]] = [dx.sup.[alpha]]/ds, in this case), transferred along that geodesic line to where it is tangential, is zero.

Entangled states and quantum causality threshold in the general theory of relativity

Synchronization of these two movements allows a removal of the tape on the mandrel according to geodesic lines. To prevent slippage of the tape, which can cause wrinkling around the eye guide, a rotation of the eye guide around the axis of symmetry of its light is needed and its numerical values are to be determined.

Determination of the digitally filed geodesies on a cross-section of an ellipsoidal mandrel/Skaitinis geodeziniu liniju elipsinio itvaro skersiniame pjuvyje nustatymas

For instance, the navigation based on geodesic lines and connected software of the ship's devices (electronic chart, positioning and steering systems) gives a strong argument to research and use geodesic-based methods for calculations instead of the loxodromic trajectories in general.

On geometric properties of spherical conics and generalization of [pi] in navigation and mapping

Like geodesic lines felt as gravity's force, when another person is close enough to be present face-to-face, we feel the "ethical force of gravity." And just as gravity is not a separate being (graviton) or a god moving divine spheres, but rather the natural way physics describes how bodies in motion affect one another, so also ethics is not a deduction from reason and freedom nor dependent on adieu bouchetrou, but the way phenomenology describes how the other arcs above me commanding responsibility.

Purcell, Michael. Levinas and Theology