We give a simple proof of the Emch closing theorem by introducing a new invariant measure on the circle. Special cases of that measure are well known and have been used in the literature to prove Poncelet’s and the zigzag theorems. Some further generalizations are also obtained by applying the new measure.

Universal measure for poncelet-type theorems

PROTASOV, Vladimir
;
2018

Abstract

We give a simple proof of the Emch closing theorem by introducing a new invariant measure on the circle. Special cases of that measure are well known and have been used in the literature to prove Poncelet’s and the zigzag theorems. Some further generalizations are also obtained by applying the new measure.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/179455
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