Quote Originally Posted by Crusty View Post
I'd have to get it tattooed onto the back of my hand because remembering it is the most significant issue, but thanks.
Well, if you can remember two of the axes, you can always determine the third using the right hand rule; all these coordinate systems are right handed.

Also, for the typical lathe and vertical mill, the z axis aligns with the spinning work (lathe) or tool (mill).

OTOH, just store my image in your computer shop file and refer to it when necessary.