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How to Think Like a Mathematician by Kevin Houston

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CHAPTER 19

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A study of Pythagoras’ Theorem

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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 ...

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