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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2018 Volume 15, Pages 882–889 (Mi semr962)
This article is cited in 4 papers

Geometry and topology

On the flat curves with affine congruent arcs

I. V. Polikanova

Altai State Pedagogical University, 6(1), Soviet st., 656002, Barnaul, Russia

Abstract: 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, parabola.

UDC: 513.83

MSC: 53A04

Received February 19, 2017, published August 15, 2018

DOI: 10.17377/semi.2018.15.075



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