2 papers
math.DS2023
Feuerbach's and Poncelet's theorems meet in space
Evgeny A. Avksentyev
We propose 3D generalizations of the Feuerbach theorem: the first one deals with a tetrahedron analogue of the Euler circle, the second one is done by means of an «up-in-ex-touch»…
math.DS2016
Universal measure for Poncelet-type theorems
Evgeny A. Avksentyev, Vladimir Yu. Protasov
We give a simple proof of the Emch closing theorem by introducing a new invariant measure on the circle. Special cases of that measures are well-known and have been used in the lit…