In euclidean space, it is possible to bisect a line segment (using a compass and a straightedge). This is also true in hyperbolic space.
In euclidean space, it is also possible to trisect a line segment (using a compass and a straightedge).
Is this also true in hyperbolic space? If so, how would it be possible?
If not, is there such proof that shows why hyperbolic line segment trisection is impossible?