Geometries with orientation support 
 
116  Rockwell Automation Publication MOTION-UM002F-EN-P - February 2018 
Point conversion on page 125 
RxRyRz, flip, mirror flip condition on page 126 
Translation and rotation example on page 132 
The Cartesian Point is composed of the following two components:   
•  Translation - describes the vector connecting two Cartesian points 
•  Orientation - the three ordered rotations around the X, Y, and Z Cartesian 
axes 
Translation Specification 
Typically, a point in space is specified by the three coordinates of the point with 
respect to the base coordinate system as shown in the following figure. The three 
coordinates of the point are X, Y, Z. This specification is also called 3 by 1 position 
vector with respect to the base coordinate system.   
 
Cartesian Point Specification