Indeed the difficulty of representing circles and pieces of circles as lines and pieces of lines sounds like a case of "Doctor it hurts when I hit my thumb with this hammer!"

However much more complicated the math and logic might be dealing in the actual geometry of circles and patches of spheres, instead of lines and triangles within an arbitrarily bordered x,y grid, It's got to be simply the only way to go?

It sounds like "grappling with the difficulty of using 3.0 in place of pi for decades".

Of course I do realize that other smart people must have had this same thought, and that there must be some real reason this is actually a problem. But I do not get any sense of what that real problem might be from this article. Everything described here sounds totally avoidable.