Geodesic
On Poncelet’s porism
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 54 (2010) no. 2

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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.
Keywords: Porism, annulus, bicentric polygon 
Cieślak, Waldemar; Szczygielska, Elżbieta. On Poncelet’s porism. Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 54 (2010) no. 2. http://geodesic.mathdoc.fr/item/AUM_2010_54_2_a5/
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[2] Cieślak, W., Szczygielska, E., Circuminscribed polygons in a plane annulus, Ann. Univ. Mariae Curie-Skłodowska Sect. A 62 (2008), 49-53.

[3] Kerawala, S. M., Poncelet porism in two circles, Bull. Calcutta Math. Soc. 39 (1947), 85-105.

[4] Weisstein, E. W., Poncelet’s Porism, From Math World - A Wolfram Web Resource. http://mathworld.wolfram.com/PonceletsPorism.html