Construct the figures in hyperbolic space using the NonEuclid software.

https://www.cs.unm.edu/~joel/NonEuclid/NonEuclid.html

Saccheri quadrilaterals with the following features:

A. Sides the same length as the base

B. Summit angles of 45

Construction: We are going to construct a Saccheri quadrilateral using the Poincare disk applet. 1. Use Constructions - Draw Line Segment to construct a horizontal segment, AB, on the diameter of the disk. (Do this as closely as you can. It is not mathematically significant that this segment lies on the diameter, but let us do this for our first picture.) 2. Use Constructions - Draw Perpendicular. Click on AB then point A to draw a perpen- dicular line at point A. 3. Use Constructions - Draw Perpendicular. Click on AB then point B to draw a perpen- dicular line at point B. 4. Use Constructions - Plot Point on Object to plot a point, E on the perpendicular line through point A. 5. Use Measurements - Measure Distance to measure the distance between point E and point A. 6. Use Constructions - Draw Segment of Specific Length to plot a point, F on the per- pendicular through B of the same length as the one you just measured. 7. Use Constructions - Draw Line Segment to connect the two points on the perpendicu lars