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Self-evident Automated Geometric Theorem Proving Based on Complex Number Identity
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Self-evident Automated Geometric Theorem Proving Based on Complex Number Identity
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Journal Article
Self-evident Automated Geometric Theorem Proving Based on Complex Number Identity
2023
Overview
How to automatically generate short and easy-to-understand proofs for geometric theorems has long been an issue of concern in mathematics education. A novel automated geometric theorem proving method based on complex number identities is proposed in this paper, which acts as a bridge between geometry and algebra. According to the proposed method, the geometric relations in the given proposition are first transformed into a complex number expression, then the complex number identity is generated by the elimination method; finally, the closure property under all four operations of real numbers is employed to prove the proposition. A test on more than 300 geometric problems shows that the proposed method is highly effective, and the corresponding proofs are short, with obvious geometric meaning.
Publisher
Springer Nature B.V
Subject
