The circular mirror and Ian Stewart's polynomials
Jean-Claude Carr\'ega, Labib Haddad
TL;DR
This paper explores the connection between Ian Stewart's counterexample in constructible numbers and Alhazen's problem involving the circular mirror, revealing insights into classical geometric problems and their algebraic implications.
Contribution
It establishes a novel link between Stewart's number theory counterexample and Alhazen's optical problem, enriching the understanding of geometric constructibility.
Findings
Identifies a relationship between Stewart's polynomial and Alhazen's problem.
Provides new insights into the algebraic structure of classical geometric problems.
Highlights implications for constructibility using classical tools.
Abstract
About the relation between a counterexample in the theory of numbers constructible by ruler and compass, due to Ian Stewart, and Alhazen's problem concerning the circular mirror.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Advanced Mathematical Theories and Applications