Mapping the Beltrami Klein model to the Poincaré model

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(PG) 6.2 The Poincaré Disk (PG) 6.2 The Poincaré Disk
Beltrami-Klein model to Poincaré model (pencil on a boundary point) Beltrami-Klein model to Poincaré model (pencil on a boundary point)
Projecting the Beltrami-Klein model into the Riemann-Poincaré model Projecting the Beltrami-Klein model into the Riemann-Poincaré model
Hyperbollic bisector & geodesic in Klein & Poincare models Hyperbollic bisector & geodesic in Klein & Poincare models
Projecting the Beltrami-Klein model into the Poincaré model (lower semi-circle) Projecting the Beltrami-Klein model into the Poincaré model (lower semi-circle)
Projecting the Beltrami-Klein model into the Riemann-Poincaré model (full circle) Projecting the Beltrami-Klein model into the Riemann-Poincaré model (full circle)
The Poincaré model from hyperboloid stereographic projection (moving point) (rotating) The Poincaré model from hyperboloid stereographic projection (moving point) (rotating)
Projection from Hyperboloid to the Beltrami–Klein disk. Projection from Hyperboloid to the Beltrami–Klein disk.