course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Geometry |
IB |
26 |
|
1.I.4F |
2003 |
Describe the geodesics (that is, hyperbolic straight lines) in either the disc model or the half-plane model of the hyperbolic plane. Explain what is meant by the statements that two hyperbolic lines are parallel, and that they are ultraparallel.
Show that two hyperbolic lines
[You may assume standard results about the group of isometries of whichever model of the hyperbolic plane you use.]