Rotation indices related to Poncelet’s closure theorem
Waldemar Cieślak; Horst Martini; Witold Mozgawa
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2014)
- Volume: 68, Issue: 2
- ISSN: 0365-1029
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topWaldemar Cieślak, Horst Martini, and Witold Mozgawa. "Rotation indices related to Poncelet’s closure theorem." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 68.2 (2014): null. <http://eudml.org/doc/289799>.
@article{WaldemarCieślak2014,
abstract = {Let CRCr denote an annulus formed by two non-concentric circles CR, Cr in the Euclidean plane. We prove that if Poncelet’s closure theorem holds for k-gons circuminscribed to CRCr, then there exist circles inside this annulus which satisfy Poncelet’s closure theorem together with Cr, with n- gons for any n > k.},
author = {Waldemar Cieślak, Horst Martini, Witold Mozgawa},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {2},
pages = {null},
title = {Rotation indices related to Poncelet’s closure theorem},
url = {http://eudml.org/doc/289799},
volume = {68},
year = {2014},
}
TY - JOUR
AU - Waldemar Cieślak
AU - Horst Martini
AU - Witold Mozgawa
TI - Rotation indices related to Poncelet’s closure theorem
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2014
VL - 68
IS - 2
SP - null
AB - Let CRCr denote an annulus formed by two non-concentric circles CR, Cr in the Euclidean plane. We prove that if Poncelet’s closure theorem holds for k-gons circuminscribed to CRCr, then there exist circles inside this annulus which satisfy Poncelet’s closure theorem together with Cr, with n- gons for any n > k.
LA - eng
KW -
UR - http://eudml.org/doc/289799
ER -
References
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