Point-line-plane postulate
- Point-line-plane postulate
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).
Unique Line Assumption
There is exactly one line passing through two distinct points.
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).
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.
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