I am supposed to show and explain why Euclid's Fifth postulate does not hold in the Poincare Disk model of the hyperbolic plane.
Euclid's fifth postulate: If two lines are intersected by a transversal in such a way that the sum of the degree measures of the two interior angles on one side of the transversal is less than the sum of two right angles, then the two lines meet on that side of the transversal.
Euclid's fifth postulate: If two lines are intersected by a transversal in such a way that the sum of the degree measures of the two interior angles on one side of the transversal is less than the sum of two right angles, then the two lines meet on that side of the transversal.