Basics of Coordinate Metrology
Unit 4:  Geometric Elements - Cone

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The next standard geometrical element is the cone. A cone describes a conical area in the direction of the cone axis of infinite extension without specifying the cone height (!). A cone has the following characteristics:
Extension: infinite along the cone axis
Conical with cone point P (x,y,z) and cone angle a
The direction is given by the cone axis

A cone is determined by at least six (probing) points (on the surface of the cone). These points are used to determine the cone point P(x, y, z), the cone axis vector V(x, y, z) and the cone angle a.

In practice the diameter (Ø) D is usually used instead of the radius R. It is twice the value of the radius (D = 2 R).

Tip: A good practical solution is circular probing of the cone at various heights. Probing along a helical line is not recommended.

 

Important: The points used to calculate the cone must not be on a circular or straight line.

      

Element:
Cone
Display:
Parameters:
point P (x, y, z), 
direction vector V (x, y, z)
cone angle
Required minimum number of probing points:
6 probing points