Thanks to Don for this link, which appears to have a lot of good information in it!
Epicurus and the mathematicians of Cyzicus
Epicurus and the mathematicians of Cyzicus
www.academia.edu
Here's the point that appears to me to behind everything:
Given that the only "unchanging reality" in Epicurean terms is at the level of the atoms and void, and that's clearly NOT what Plato was taking about, the contention that our attention should be drawn away from the world around us to "an unchanging reality" that does not exist -- those are fighting words, and a very damaging thing to teach to children or adults! So I would fully expect Epicurus to want to upend the entire issue by drilling down to separate what might be helpful in geometry from what would be a damaging fiction.