Some Footnotes on Thurston’s Notes The Geometry and Topology of 3-Manifolds

These are a few historical remarks, addenda and references with comments on some topics discussed by Thurston in his notes The geometry and topology of three-manifolds. The topics are mainly hyperbolic geometry, geometric structures, volumes of hyperbolic polyhedra and the so-called Koebe–Andreev–Thurston theorem. I discuss in particular some works of Lobachevsky, Andreev and Milnor, with an excursus in Dante’s cosmology, based on the insight of Pavel Florensky.