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 dimensions (solid geometry) or more. (1) Unique Line Assumption Through any two points is exactly one line. (2) 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). (3) 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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