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the shortest line lying on a given surface and connecting two given points.
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|Noun||1.||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)|
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