2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80051In this short review we compare different ways to construct solutions of the periodic Toda lattice. We give two recipes that follow from the projection method and compare them with the algebra-geometric construction of Krichever.12 pages, LatexExactly Solvable and Integrable SystemsSolutions of the periodic Toda lattice via the projection procedure and by the algebra-geometric methodtext