Basics of Coordinate Metrology
Unit 4:  Geometric Elements - Point (in space)

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The most difficult geometric element is the point. A point is distinguished by the following characteristics:
no extension
no direction

It is described by three coordinates (x,y,z). These three coordinates are also called local vector .

A local vector or briefly vector is an arrow pointing from the origin of the coordinate system (zero point) to the point P (x,y,z). The local vector is defined by the number triple (x,y,z) of the coordinates of the point P.

Tip: In practice it is very difficult to measure a point directly by probing it once. A much more stable solution (in particular with respect to measuring uncertainty) is to calculate a point as an intersection of other standard geometric elements.

      

Element:
Point

Display:

Parameter:
local vector P (x, y, z)
Required minimum number of probing points:
1 probing point