Circumscribed
circumference
As in the Euclidean case, from the
circumcenter we can plot the circumscribed circumference, with
center the circumcenter passing
through the three vertices. Once
we have the circumcenter, we can plot this circumference from the
hyperbolic tool circumference for
center and point giving
the
circumcenter as the center and one of the three vertex as the point.
This construction is the same we used to find the circumference
that
goes through three given points,
as it was commented on this
construction, this circumference not always exists. Now, the existence
of the circumscribed will depend on the existence of the circumcenter. In fact,
given three points, a circumference
through the three points will exists if and only if the circumcenter
exists.
Triangles
Hyperbolic
geometry
