An uncountable number of proofs of Pythagoras Theorem
Gaurav Bhatnagar, Sagar Shrivastava
TL;DR
This paper presents an infinite collection of proofs for Pythagoras' theorem, including some that are self-similar, expanding the understanding of the theorem's foundational proofs.
Contribution
It introduces an uncountably infinite set of proofs for Pythagoras' theorem, highlighting the diversity and complexity of its demonstrations.
Findings
Infinite proofs of Pythagoras' theorem
Existence of self-similar proofs
Diversity of proof techniques
Abstract
We give an infinite number of proofs of Pythagoras theorem.Some can be classified as `self-similar proofs'.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Mathematics and Applications · Advanced Mathematical Theories