The wider radius at the bottom is a consequence of the intersection of the side and front clearance angles. The angle at which the tool is presented to the wheel also gets in on the act.
Something that just happens. Not specifically looked for.
Applying appropriate radii to the cutting edge of lathe tools is something sadly overlooked in most expositions of the subject. Especially doing so without inadvertently reducing the sharpness of the edge.
Realistically the whole lathe tool sharpening process explanations and technique are long overdue for revisiting from first principles for the benefit of the lone worker neophyte who has neither mentor nor relevant experience for guidance.
The vital importance of accurate reproducing of effective, sharp tool profiles in helping the inexperienced to quickly turn out good work is self evident. There are plenty of similar profiles that work with appropriate feeds speeds et al but when you are trying to find out how to drive a lathe it makes life a lot easier if the tool behaves exactly the same after each sharpening. Even if its consistently crap at least you know its wrong. random variations between "hey that was good" and "bleaugh" visiting all points in between after each sharpening produces a slightly different profile needing slightly different operating conditions is less than helpful.
I've spent a fair few hours trying to come up with a simple, mechanically guided, way for the beginner to reliably reproduce tip radii with no success. For the actual clearance angles simply setting the height of the top of the tool relative to the grinding wheel axis to give a slight hollow ground is clearly most appropriate for the neophyte. But combining that method with setting a range of tip radii is a different matter. A holder to do one specified radius and one specified tip clearance angle is practical and may be the best approach. But its inelegant.
Of course the Eccentric Engineering Acute sharpener device will do the job just fine. At a price. In both £ and complexity. Which may not be appropriate to the neophyte.
Clive
Edited By Clive Foster on 03/06/2019 08:58:33