Geodesic
On the flat curves with affine congruent arcs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 882-889.

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

It is proved in the article that the only curves with affine congruent arcs in the affine plane are straight lines, parabolas or their connected parts.
Keywords: curve with affine congruent arcs, straight line
Mots-clés : parabola. 
@article{SEMR_2018_15_a49,
     author = {I. V. Polikanova},
     title = {On the flat curves with affine congruent arcs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {882--889},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a49/}
}
TY  - JOUR
AU  - I. V. Polikanova
TI  - On the flat curves with affine congruent arcs
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2018
SP  - 882
EP  - 889
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2018_15_a49/
LA  - ru
ID  - SEMR_2018_15_a49
ER  - 
%0 Journal Article
%A I. V. Polikanova
%T On the flat curves with affine congruent arcs
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2018
%P 882-889
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2018_15_a49/
%G ru
%F SEMR_2018_15_a49
I. V. Polikanova. On the flat curves with affine congruent arcs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 882-889. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a49/

[1] I.V. Polikanova, “Affine congruence of parabolic arcs”, Collected articles of scientific conference «Lomonosov Readings in Altay: fundamental problems of science and education» (Barnaul, 11–14 November, 2014), 344–346

[2] I.V. Polikanova, “On the curves with a fixed maximum of the intersections with hyperplanes”, Proceedings of the Seventeenth Regional Conference on Mathematics «MAR – 2014», dedicated to the 40th anniversary of the Faculty of Mathematics and Information Technology, Alt. un-ty Press, Barnaul, 2014, 33–34

[3] I.V. Polikanova, “Some properties of curves with affine congruet arcs”, Proceedings of the Seminar on geometry and mathematical modeling, v. 2, Alt. un-ty Press, Barnaul, 2016, 55–61

[4] L.S. Atanasian, V.T. Bazilev, Geometry, in 2 p., v. 1, KNORUS, M., 2015

[5] I. Bakelman, A. Verner, B. Kantor, Introduction to differetial geometry «as a whole», «Nauka», M., 1973 | MR

[6] N. Bourbaki, General topology (Topological groups. Numbers and related groups and spaces), «Nauka», M., 1969 | MR

[7] K. Leichtweis, Convex sets, «Nauka», M., 1985 | MR | Zbl