Wikipedia states the following:
[The Poincaré half-plane model of hyperbolic geometry] is named after Henri Poincaré, but originated with Eugenio Beltrami, who used it, along with the Klein model and the Poincaré disk model (due to Riemann)
But it doesn't give any sources. I would like to know about the real history of the models of hyperbolic geometry, i.e. Beltrami-Klein, Poincaré disk model, Poincaré half-plane model. When and by whom where they discovered?
The relevant papers by Beltrami, Klein and Poincare are all available in English translation with excellent introductions in Stillwell, Sources of Hyperbolic Geometry (AMS, 1996). Basically, both models can be found in germinal form in Beltrami's 1868 papers (where they are treated from the point of view of differential geometry) although Klein and Poincare added important insights (Klein from the point of view of projective geometry and Poincare from the point of view of complex analysis). The reference to Riemann in the Wikipedia quote is nonsense.