# Construct a geometric model using axioms

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Construct a model that satisfies the following axioms.

- 1. There exists at least 1 line.

- 2. Every line of the geometry has exactly 4 points on it.

- 3. Not all points of the geometry are on the same line.

- 4. Each point of the geometry is contained in exactly 3 lines.

- 5. Every pair of lines intersect and their intersection is exactly 1 point.

https://brainmass.com/math/geometry-and-topology/construct-geometric-model-axioms-14069

#### Solution Summary

Axoims are used to construct a geometric model. A diagram is included.

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