Abstract
This paper shows the necessary and sufficient condition for bicentrical polygons which are circumscribed and inscribed by two ellipses using Jacobian elliptic functions. Moreover the formulae for a bicentrical triangle, quadrilateral and pentagon are presented and the fact that these formulae are the necessary and sufficient conditions for bicentrical polygons is presented.
Citation
Ben T. Nohara. Akio Arimoto. "Some relations of Poncelet’s porism for two ellipses." Proc. Japan Acad. Ser. A Math. Sci. 88 (6) 85 - 90, June 2012. https://doi.org/10.3792/pjaa.88.85
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