Geometry: Axiomatic System - SlideServe

SOLVED: I understand how to prove this using 3 points. How do I prove itwhen adding a fourth?Consider the axiomatic system and theorem below:Axiom 1: If there is a pair of points, then they are on a linetogether.Axiom 2: If there is a line, then there must be at least twopoints on it.Axiom 3: There exist at least three distinct points.Axiom 4: If there is a line, then not all of the points can beon it,Theorem 1: Each point is on at least two distinct lines.

Euclid's Axiomatic Geometry: Developments & Postulates