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Line 3: In [[vector analysis]], [[triangulation]] is a method of finding points in [[three dimensional]] spaces using distances, angles and vector functions such as [[magnitude]], [[dot product]] and [[cross product]]. Among its uses are in [[surveying]], [[navigation]], and [[astronomy]]. This article describes a method for determining the [[coordinates]] of the point where three lines meet, given the [[scalar]] lengths of the lines and the coordinates of their bases. IfFirst treat these three lines as if they are the [[Radius\|radii]] of three [[sphere]]s of known centers (these known centres being the coordinates of the known end of each line), this method can then be used to calculate the intersection of the three spheres ''if they intersect''. In the event that the three spheres don't intersect, this method obtains the closest solution to the [[axis of symmetry]] between three spheres. == Development ==

Triangulation in three dimensions: Difference between revisions