# Question: question from the projective geometry axioms prove that two distinct...

###### Question details

**QUESTION: From the projective geometry axioms, prove
that two distinct lines have exactly one point in
common.**

Axioms of projective geometry:

1. a line is on at least two points

2. any two distinct points have exactly one line in common

3. any two distinct lines have at least one point in commom (parallel line one)

4. there is a set of four distinct points, no three of which are collinear.