Another attempt to get the formatting right on Dan's advice. I searched up and down and asked about this some time back. Nothing came to light, I guess because this use group was not around a century ago and nor was I.
Here is the answer I was looking for some time back. It has been great revision for me and I have had considerable help from a mathematics forum.
The problem was to find the set-up angles required to make a skewed milling cut in a rectangular block following given angles on three of its surfaces.
Image here:
formatting link
angles are A, B and C in planes YOZ, XOZ and XOYrespectively.This is a right handed coordinate system with angles X -> Y,Y -> Z and Z ->Xbeing +ve.1. Align vice jaws // X.2. Set block in vice so that line at angle A is // to XOY3. Tilt vice by angle D to XOY. Where D = atan(cosAtanB)4. Rotate vice by angle E from XOZ. Where E = atan(cosAsinC/(cosCcosD-sinAsinCsinD))John.