section_path: Related concepts/Visual proof
section_name: Visual proof
paragraph_text: Visual proof
  
  Although not a formal proof, a visual demonstration of a mathematical theorem is sometimes called a " proof without words ". The left-hand picture below is an example of a historic visual proof of the Pythagorean theorem in the case of the (3,4,5) triangle.
  
  Some illusory visual proofs, such as the missing square puzzle, can be constructed in a way which appear to prove a supposed mathematical fact but only do so by neglecting tiny errors (for example, supposedly straight lines which actually bend slightly) which are unnoticeable until the entire picture is closely examined, with lengths and angles precisely measured or calculated.