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Question: question 131...

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Question 1.3.1
y 2t/). EXERCISES The parameter in thepairruns through all rational numbers if q/p and p. q run through all pairs of integers. t 1.3.1 Deduce that if (a, b, c) is any Pythagorean triple then for some integers p and q. 1.3.2 Use Exercise 1.3.1 to prove Euclids formula for Pythagorean triples. The triples (a, b, c) in Plimpton 322 seem to have been computed to provid right-angled triangles covering a range of shapes-their angles actually follow a increasing sequence in roughly equal steps. This raises the question, can the shap
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