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Short title
Hyperbolic ideal triangle and its incircle
Image title
An ideal hyperbolic triangle, its incircle and some lengths associated with it, depicted in the Beltrami–Klein model and the Poincaré Disk model.
In particular, the distances depicted are
1. |AB| = ln(3)/2 ≈ 0.55 the radius of the incircle,
2. |AC| = 2*ln((1+sqrt(5))/2) ≈ 0.96 the edge length of the inner contact triangle and
3. |AD| = ln(1+sqrt(2)) ≈ 0.88 the distance from one such contact point to one of the other edges.