How To Define A Flat Plane
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 context and thought process to conclude these axioms, and necessary theorems to test mathematically whether a 2-dimensional space is flat or not. It can also be used as a short introduction to Euclidean geometry until Pythagorean Theorem.
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How To Define A Flat Plane
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 context and thought process to conclude these axioms, and necessary theorems to test mathematically whether a 2-dimensional space is flat or not. It can also be used as a short introduction to Euclidean geometry until Pythagorean Theorem.
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How To Define A Flat Plane

How To Define A Flat Plane

by Chengpu Wang
How To Define A Flat Plane

How To Define A Flat Plane

by Chengpu Wang

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Overview

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 context and thought process to conclude these axioms, and necessary theorems to test mathematically whether a 2-dimensional space is flat or not. It can also be used as a short introduction to Euclidean geometry until Pythagorean Theorem.

Product Details

BN ID: 2940158674624
Publisher: Chengpu Wang
Publication date: 07/28/2017
Sold by: Barnes & Noble
Format: eBook
File size: 161 KB

About the Author

Mr. Chengpu Wang has a B.S. on Physics technology from Peking University, and a Ph.D. on Biophysics. He dedicates this book to his daughter Alice Wang, who enjoys studying math with him
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