Hatcher-Topology-of-Numbers · Problem 9

The Farey Diagram

Mathematics — Algebraic Topology · rational-points-on-hyperbola

Problem

(a) Find formulas that give all the rational points on the upper branch of the hyperbola y2−x2=1y^2 - x^2 = 1. (b) Can you find any relationship between these rational points and Pythagorean triples?

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