This is inspired by an ancient discovery, the Tusi couple.
References and credits
http://www.cut-the-knot.org/pythagoras/Copernicus.shtml
https://books.google.com/books?id=LuUlBQAAQBAJ&lpg=PA4&dq=Copernicus%27+Theorem&pg=PA5#v=onepage&q&f=false
https://en.wikipedia.org/wiki/Tusi_couple