Stuart Stevenson wrote:
> Gentlemen,

snipped

>    I would propose a treatment after this fashion. Using the XYZ
> symbols the axis motion is always along the XYZ axes.

I assume this means that X is along the original linear X axis, Y is 
along the original linear Y axis and Z is perpendicular to X and Y.

  Using the UVW
> symbols the axis motion is perpendicular to the tool axis unless an
> optional matrix transformation was commanded in a prior line. Using
> the tool axis vector (or the transformation matrix) would yield a
> 'point - vector - vector' matrix for the placement of the motion in 3D
> space. All of the calculation could be done as if the plane of motion
> was the XY plane and the motion translated to the spot with the
> vector.

I'm not sure what the above means. One interpretation is:  U is in a 
direction that is on the same plane as the tool axis and the original X 
axis and is in a direction perpendicular to the tool axis. V is in a 
direction that is on the same plane as the tool axis and the original Y 
axis in a direction perpendicular to the tool axis. The W would be 
parallel to the tool axis. Is that what you mean?

It makes sense that it would be useful to  have a "tool centric" set of 
axis. The difficulty is that there are an infinite number of them. What 
I've described, above, is one that seems to make some sort of sense.

>    This same treatment could be used for rotating/adjusting the
> program to the part.
> 
>    Comments, Considerations, Criticism
> thanks
> Stuart
> 
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Ken

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