In geometry, a geodesic is defined as the line of minimum length joining two points on a given area, and is contained on this surface. Geodesics of a surface are the lines "straightest" possible (less curvature) fixed point and a given direction on the surface.
More generally, one can speak of geodesic "curved space" so-called higher dimensional Riemannian manifolds where, if space has a natural metric, then geodesics are (locally) the shortest route between two points in space. A physical example of semiriemanniana range is what appears in the theory of general relativity material particles move along geodesics of space-time temporary curved by gravitational effects.
geodesic closest example we can see them on Earth. If the Earth were a sphere, any circle (equator, meridian) would be a geodesic, ie to get from one point to another, the shortest path elapse of one of these lines.
The term "geodesic" comes from the word geodesy, the science of measuring the size and shape of planet Earth, in the original sense, was the shortest route between two points on the surface of the Earth.
The term "geodesic" comes from the word geodesy, the science of measuring the size and shape of planet Earth, in the original sense, was the shortest route between two points on the surface of the Earth.
Source: Wikipedia
"Tlön geometry comprises two somewhat different disciplines: the visual and the tactile. The latter corresponds to ours and is subordinated to the first. The basis of visual geometry is the surface, not the point. This geometry disregards parallel lines and declares that man in his movement modifies the forms that surround it. "
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