A study of Pythagoras’ Theorem
Reason is immortal, all else mortal.
Pythagoras, Diogenes Laertius (Lives of Eminent Philosophers)
Pythagoras’ Theorem is probably the best-known mathematical theorem. Even most non-mathematicians have some vague idea that it involves triangles and squaring something known as the hypotenuse.
Because the ideas in the previous chapters on ‘How to read a theorem’ and ‘How to read a proof’ are so important we will apply them to this famous theorem to see them in action. So in this chapter we will pull apart ...