Sounds like a microtome to me!

They were used to cut up scientific samples that had been preserved in wax. The microtome could slice the samples thin enough that the scientists could view them under a microscope.

I've only honed one of them and it was a bear to do. I had to tape the spine in a really weird way.

I put a layer of tape on the spine as you would any other razor, but then I had to cut a thin sliver of tape to put on just the flat side to raise that side up a bit more and get a symmetrical angle on the bevel.

It was definitely fiddly to do but that did get her shaving...! There may be a better way to hone these blades, but that's what I did.

Good luck and keep us posted!