Poncelet and the arquimedean twins
Liliana Gabriela Gheorghe
TL;DR
This paper introduces a precise geometric construction for twin circles in an arbelos using polar reciprocity, revealing new circles with arquimedean affinities.
Contribution
It presents a novel construction method for arbelos twins and uncovers new circles related to arquimedean properties through polar reciprocity.
Findings
New geometric construction for arbelos twins
Discovery of circles with arquimedean affinities
Application of polar reciprocity in classical geometry
Abstract
We give a sharp construction for twins in arbelos, based on polar reciprocity. In the process, new circles displaying arquimedean afinities came into scene.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications · History and Theory of Mathematics