Use the following axioms and definitions of intersection and parallel as a definition of the five point geometry.
- There exist exactly five points.
- There exist exactly five lines.
- Any two distinct points have exactly one line on both of them.
- Each line is on exactly two points.
Explore the five point geometry as follows.
- Draw five points using Geogebra.
- Use Axiom 3 to draw all required lines.
- How many lines did you construct?
- Compare this answer to Axiom 2.