You are wrong. It IS a geometrically sound system. It's just that you and pj, and others just don't know what to plug into the formula so it does work on paper. This has all been explained in the past, but for some reason, you all want to dismiss it. As Joe W said in essence- you are wanting to claim science on your side, while dismissing science in your approach. The FACT that it works, means that there is some math that can prove it. Science says that since it works, we have to find out why it works. I know why it works, but have no clue how to do the math for it. And, I really don't think that anyone else on here does either, no matter what your math degree. I say that, because no one knows how to come up with the numbers to put in any formula for the math. The reason it works is because of how our eyes work. Once you can figure out how to do the math on that, then you can start to come up with the formulas. Until then, forget it.
When you line up center to edge, and edge to A, B, or C, you are experiencing an optical illusion from what you would actually have if you drew the lines out on paper. Until you can do the math for an optical illusion, you can't get a formula.