2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114060We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem of finding rational points on an algebraic surface in algebraic geometry. We will also reinterpret Euler's work on the second problem with a modern point of view.11 pages, 1 figureNumber TheoryAlgebraic Geometry11D (primary) 11G, 14G, 14J (secondary)text