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Define the unit segment in hyperbolic geometry. Give the interpretations of the undefined terms of hyperbolic geometry in Poincare model. In Poincare model draw parallel lines with common perpendicular. In Poincare model, given that the Poincare distance between a line

`j`

and

`a`

point

`K`

to be

`m`

units, find the angle of parallelism from

`K`

to the line

`j`

. In Poincare model draw parallel lines with no common perpendicular. Give the Poincare distance between the Points H and R.