Poncelet problem for rational conics
Algebra i analiz, Tome 19 (2007) no. 4, pp. 139-145.

Voir la notice de l'article provenant de la source Math-Net.Ru

The Poncelet problem for rational conics may have a solution only for polygons with 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, or 24 vertices.
Keywords: Conics.
@article{AA_2007_19_4_a5,
     author = {V. A. Malyshev},
     title = {Poncelet problem for rational conics},
     journal = {Algebra i analiz},
     pages = {139--145},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2007_19_4_a5/}
}
TY  - JOUR
AU  - V. A. Malyshev
TI  - Poncelet problem for rational conics
JO  - Algebra i analiz
PY  - 2007
SP  - 139
EP  - 145
VL  - 19
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2007_19_4_a5/
LA  - ru
ID  - AA_2007_19_4_a5
ER  - 
%0 Journal Article
%A V. A. Malyshev
%T Poncelet problem for rational conics
%J Algebra i analiz
%D 2007
%P 139-145
%V 19
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2007_19_4_a5/
%G ru
%F AA_2007_19_4_a5
V. A. Malyshev. Poncelet problem for rational conics. Algebra i analiz, Tome 19 (2007) no. 4, pp. 139-145. http://geodesic.mathdoc.fr/item/AA_2007_19_4_a5/

[1] Griffiths P., Harris J., “On Cayley's explicit solution to Poncelet's porism”, Enseign. Math. (2), 24 (1978), 31–40 | MR | Zbl

[2] Burskii V. P., Zhedanov A. S., “O zadache Dirikhle dlya uravneniya kolebaniya struny, probleme Ponsele, uravnenii Pellya–Abelya i nekotorykh drugikh s nimi svyazannykh zadachakh”, Ukr. matem. zhurn., 58:4 (2006), 435–450 | MR | Zbl

[3] Malyshev V. A., “Uravnenie Abelya”, Algebra i analiz, 13:6 (2001), 1–55 | MR

[4] Malyshev V. A., “Periody kvadraticheskikh irratsionalnostei i kruchenie ellipticheskikh krivykh”, Algebra i analiz, 15:4 (2003), 177–203 | MR | Zbl