Whilst welcoming the general point of articles like Neil Raine’s, I was rather confused by his use of the “Z axis”
When I was at school and trying to learn A-level Maths, three-dimensional graphs went along a bit (x), across a bit (y), up a bit (z). I found the concept easy as I could relate it to Ordnance Survey maps I used for regular weekend walks in the countryside: East by NGR numbers, North by NGR numbers, and Up (hill altitudes – in feet at that time).
In later years vertical and horizontal milling-machines had Long[itudinal], Cross and Vertical travels.
I fitted a DRO to my mill: it calls the Long, Cross and Vertical travels, (x), (y) and (z), and I have noticed some writers use the co-ordinate letters generally. I use the words though, to avoid any confusion.
CAD: same Along, Across, Up (x), (y) and (z) convention: Z is vertical. If you rotate the view so the part’s Z axis becomes horizontal, that is with reference to that part so you still know its actual “top”. Or if you like, the axes are where they should be but you are “flying” around them.
Lathes and horizontal boring-machines: longitudinal and cross feeds still in the horizontal plane: (x, y). Add a vertical slide, as Mr. Raine suggests, or the borer’s rise-and-fall movement, surely its up-and-down travel is the vertical Z plane.
Or has someone somewhere deemed that just ‘cos it’s a lathe, the horizontal long travel is Z even though nowhere else?
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Similarly with any vertical drilling-machine on a fixed or magnetic base, bench, pillar or radial, the quill’s and head’s vertical movements are by (z).
Add a rotary-table to a milling-machine and you add a fourth, angular axis. Compound that by a second rotary-table or dividing-head on the first, adds a second angular axis so fifth axis altogether: as on some CNC machining-centres though they might be arranged in a different way. I don’t know what these two axes are called.
The plano-mill is a different beast, effectively a faceplate lathe standing on the back of its head, and the cross-slide working on a saddle that is now a cross-beam on two vertical columns. With its “long” feed now vertical, surely it works in the (Y, Z) planes as Y is still the horizontal, radial travel. These were (still are?) typically for turning and boring very large, heavy items more easily and safely set on a turntable than overhanging on the end of a horizontal shaft.