A proof of the butterfly theorem using the scale factor between the two wings
Martin Celli
TL;DR
This paper presents a novel proof of the butterfly theorem by leveraging the scale factor between the two wings of the figure, offering a new perspective on this classical geometric result.
Contribution
It introduces a new proof method for the butterfly theorem using scale factors, differing from traditional geometric proofs.
Findings
New proof based on scale factors
Simplifies understanding of the butterfly theorem
Potential for application to other geometric theorems
Abstract
We give a new proof of the butterfly theorem, based on the use of several expressions involving the scale factor between the two wings.
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Taxonomy
TopicsMathematics and Applications · Control and Dynamics of Mobile Robots · Advanced Differential Equations and Dynamical Systems