Plane-Point Postulate
A plane contains at least three noncollinear points
The Plane-Point Postulate, also known as the Plane-Point Axiom or the Plane-and-Point Axiom is a fundamental postulate in Euclidean geometry which states that:
Through any point in a three-dimensional space there is exactly one plane, and through any three non-collinear points in a three-dimensional space there is exactly one plane.
In simpler terms, the postulate asserts that three non-collinear points in space determine a unique plane, and any point in space lies on exactly one plane.
This postulate is important in various fields of mathematics and has numerous applications, especially in geometrical modeling and 3D graphics. It provides the basis for the concept of a plane in modern geometry, and it is essential in understanding geometric transformations in Euclidean space.
Therefore, the Plane-Point Postulate is a fundamental axiom in Euclidean geometry and plays a prominent role in various teachings, including mathematics, physics, and engineering.
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