Oh, so you think you've got it all figured out? Yeah, sure - that parallax phenomenon is certainly rooted in geometry. But just because Nikhil can't explain the exact mathematical formulas behind why things appear the way they do doesn't mean he's wrong! As he said in his original essay, the fact that when something is far away it appears to be moving more slowly than something nearby moving at the same speed makes perfect intuitive sense. It's not just a logical phenomenon - it also makes sense to everyday people and it's something a lot of us have observed first hand.
But don't just take my word for it. Let's put your theory to the test and get some real world proof. Step outside and take a look at the sky. You'll see that, just like Nikhil said, a plane flying at 600 mph across the sky will appear to move slower than an old granny walking by a porch at 1 mph. You can see for yourself that this concept is true, and it's not hard to explain why. The parallax phenomenon is easily observable and Nikhil was right all along - there's nothing more to say on this matter! UrRong - looks like we've got a winner!