Most people hate geometry and not only promptly forget it once they're out of the class but develop an aversion to it.

Also, there's barely any historical discussion of how the geometrical results were first found, with a few colorful anecdotes as exceptions.

Knowing how to construct a proof has nothing to do with knowing how the ancient Greeks viewed geometry. Knowing how to solve a math problem has nothing to do with knowing how the method was originally worked out.