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How To Define A Flat Plane

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By studying in steps what a flat plane is, this paper shows that only five axioms are necessary for 2-dimensional Euclidean geometry until the Pythagorean Theorem: 1) the existence of a straight line through any two points, 2) the existence of distance measurement between any two points; 3) the limitation of the space to 2-dimensional, 4) the repeated equivalence, and 5) the reflected equivalence.

Besides introducing major mathematical concepts to young readers, this paper focuses on the co...