Hello MeInThailand,
Yes I do grind broken and even new carbide inserts for my mini lathe. Most of the ones I have picked up on eBay have a fairly large radius for my little machine (7"x16" mini lathe). I have also purchased some in tooling lots that would not work at all due to the geometry. (some of them are just weird). Anyhow I will make up a piece of cold rolled steel and mount the insert on that temporarily and then grind it to what ever I need at the moment. For turning aluminum and brass I will grind them pretty sharp and not put much of a radius on the cutting edge. Works great for me in my little hobby shop.
Cheers, JR
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