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Section 1.3 Consistency
Definition 1.3.1. Five Point Geometry.
Use the following axioms and definitions of intersection and parallel as a definition of the five point geometry.
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There exist exactly five points.
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There exist exactly five lines.
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Any two distinct points have exactly one line on both of them.
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Each line is on exactly two points.
Checkpoint 1.3.2.
Explore the five point geometry as follows.
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Draw five points using Geogebra.
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Use Axiom 3 to draw all required lines.
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How many lines did you construct?
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Compare this answer to Axiom 2.
