Point-line-plane postulate

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The point-line-plane postulate in geometry is a collective of three assumptions (axioms) that are the basis for Euclidean geometry in three or more dimensions (solid geometry).

[edit] Unique Line Assumption

There is exactly one line passing through two distinct points.

[edit] Number Line Assumption

Every line is a set of points which can be put into a one-to-one correspondence with the real numbers. Any point can correspond with 0 (zero) and any other point can correspond with 1 (one).

[edit] Dimension Assumption

Given a line in a plane, there exists at least one point in the plane that is not on the line. Given a plane in space, there exists at least one point in space that is not in the plane.