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
;
2018-01-01
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.File in questo prodotto:
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