Incircle
Using the
hyperbolic incenter we can construct
the incircle in a hyperbolic
triangle. This
circumference is tangent on the three sides of the triangle. Notice
that we cannot construct the inscribed circumference considering that
it is the circumference that passes through the intersection points of
the
angle bisector with the opposite side.
We have to draw the hyperbolic
perpendicular line to each segment passing through the incentre.
If we consider as point
of the inscribed circumference the intersection point perpendicular
with the triangle side we will have that the
inscribed circumference is tangent to each side.
Triangles
Hyperbolic
geometry
