Looks like chisels to me. Or some sculpting tools.
I have some at home. I use them to cut anything i need to cut. lol
They're for lathing wood
Lathe tools are much heavier, those look like regular tools for relief carving. Just get a light wooden mallet and some scrap to practice on and be sure to follow through with your cuts, don't try to pry out any of the wood or you'll roll the edge and then you'll have to resharpen it. If you need to remove the tool mid cut just rock it side to side till it comes loose.
Fuck, I lathed out all the spindles on a rocking chair with a flat screwdriver. Well, two, the other caught a knot and the metal shaft exploded through the plastic/resin handle and filled my palm with delicious cancer splinters.
They're for carving leather.
They look exactly like what I was told to only use for leather/lino work.
Who knows if my teacher was right or not though
I've used them for carving pumice rock before, I think they're just all purpose "soft material" carvers
leatherworking tools, I've got a set just like that