On Poncelet’s porism
Waldemar Cieślak; Elżbieta Szczygielska
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2010)
- Volume: 54, Issue: 2
- ISSN: 0365-1029
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Abstract
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topWaldemar Cieślak, and Elżbieta Szczygielska. "On Poncelet’s porism." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 54.2 (2010): null. <http://eudml.org/doc/289821>.
@article{WaldemarCieślak2010,
abstract = {We consider circular annuli with Poncelet’s porism property. We prove two identities which imply Chapple’s, Steiner’s and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.},
author = {Waldemar Cieślak, Elżbieta Szczygielska},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Porism; annulus; bicentric polygon},
language = {eng},
number = {2},
pages = {null},
title = {On Poncelet’s porism},
url = {http://eudml.org/doc/289821},
volume = {54},
year = {2010},
}
TY - JOUR
AU - Waldemar Cieślak
AU - Elżbieta Szczygielska
TI - On Poncelet’s porism
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2010
VL - 54
IS - 2
SP - null
AB - We consider circular annuli with Poncelet’s porism property. We prove two identities which imply Chapple’s, Steiner’s and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.
LA - eng
KW - Porism; annulus; bicentric polygon
UR - http://eudml.org/doc/289821
ER -
References
top- Bos, H. J . M., Kers, C., Dort, F. and Raven, D. W., Poncelet’s closure theorem, Expo. Math. 5 (1987) 289-364.
- Cieślak, W., Szczygielska, E., Circuminscribed polygons in a plane annulus, Ann. Univ. Mariae Curie-Skłodowska Sect. A 62 (2008), 49-53.
- Kerawala, S. M., Poncelet porism in two circles, Bull. Calcutta Math. Soc. 39 (1947), 85-105.
- Weisstein, E. W., Poncelet’s Porism, From Math World - A Wolfram Web Resource. http://mathworld.wolfram.com/PonceletsPorism.html
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