The Lemniscate of Bernoulli, Without Formulas
Arseny Akopyan
TL;DR
This paper provides purely geometrical proofs of the well-known properties of the lemniscate of Bernoulli, avoiding the use of formulas and algebraic methods.
Contribution
It introduces a novel approach by using geometric reasoning to prove properties traditionally shown through formulas.
Findings
Geometric proofs of lemniscate properties
Simplification of understanding through geometry
Elimination of algebraic complexity
Abstract
In this paper we give purely geometrical proofs of the well-known properties of the lemniscate of Bernoulli.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Mathematics Education and Teaching Techniques