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Poncelet’s Poristic Polygons

Published online by Cambridge University Press:  03 November 2016

F H. V Gulasekharam*
Affiliation:
University College, Colombo

Extract

Professor T. W Chaundy has published two papers on the above subject in Vols. 22 and 25 of the Proceedings of the London Mathematical Society. He discusses the condition necessary that a single infinitude of n-sided polygons may be inscribed in a circle S and circumscribed to another circle S′, basing his discussion on the theory of elliptic functions. A treatment of the topic, within the scope of elementary mathematics, is indicated in this note.

Type
Research Article
Copyright
Copyright © Mathematical Association 1941

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References

page no 30 note * The ambiguity of signs on the left-hand side of equations (4·2) and (4·3) may be supposed absorbed in Dm+k, Dm-k, D2k as the case may be.