Editing Hyperbolic geometry (section)

==== The Gans model ====
In 1966 David Gans proposed a [[flattened hyperboloid model]] in the journal ''[[American Mathematical Monthly]]''.<ref>{{cite journal|author=Gans David |title=A New Model of the Hyperbolic Plane |journal=American Mathematical Monthly |volume= 73 |issue= 3 |date=March 1966 |doi=10.2307/2315350 |pages=291–295|jstor=2315350 }}</ref> It is an [[orthographic projection]] of the hyperboloid model onto the xy-plane.
This model is not as widely used as other models but nevertheless is quite useful in the understanding of hyperbolic geometry.
* Unlike the Klein or the Poincaré models, this model utilizes the entire [[Euclidean plane]].
* The lines in this model are represented as branches of a [[hyperbola]].<ref>{{cite web|url=http://www.d.umn.edu/cs/thesis/kedar_bhumkar_ms.pdf|title=Computer Science Department|last=vcoit|date=8 May 2015}}</ref>