One needs to look at the gemetry in 3d to see that if a disc is inclined, then it doesn’t cut flat. The tool tip travels a slightly elliptical path with respect to the reference surface direction of travel, resulting in dishing.
Equally, if the table is not moving exactly horizontally, then the same phenomenon will occur.
And by exactly I mean exactly to National Physical Laboratory limits, which we as engineers cannot achieve – the slack in the bearings is enough or a tad of slack in the gibs on the knee . As I said, it doesn’t have to be a lot, and it might not be meaningful in the context of the job to be done by the work, it may be barely detectable, but but unflat it will be, and has to be, by mathematical definition.
I wasn’t having a particular go at anyone in particular – just making a general point that it can be very difficult to get things truly flat when flycutting. Actually its almost impossible, because there is always an error. Its not an accusation of casualness or incompetence – just a statement about the geometry that exists. Its just one of those things, like no straight edge is straight. Its a question of how much, and whether that much matters.
(An inclined surface – depends on the direction of travel that one is talking about. If say you incline a milling machine head, or use a tilting table and you are cutting front to back on the y axis, then no, of course its not going to be dished – in theory. Unless the head is not set up precisely level front to back, and it won’t be, in which case it will be dished. Even if only very slightly )
And for those milling on a lathe, it certainly won’t be flat, because the head of a lathe is offset with respect ot the travel of the cross-slide – and needs to be for good turning. A lathe always turns concave, or should do.
Holding in a vice – there is always SOME deformation. Sorry. To every action there is an equal and opposite reaction. Again, whether it matters, mostly not of course, depends on the job. But you grip it, you have squeezed it so when you take it out the machined surface won’t be the same as it was in the vice.
Precision is a most awkward thing- and I agree I’m pushing the limits beyond our practical limits, but the statements are true, and as engineers I think we should understand what we do, against the day that it does matter. Please also don’t get me wrong, I’m quite happy to flycut and lap on occasion, so I’m not ruling it out. Just saying that it has limitations.