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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2019 Volume 16, Pages 1612–1622 (Mi semr1154)

This article is cited in 2 papers

Geometry and topology

On the curves with affine congruent arcs in affine space

I. V. Polikanova

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

Abstract: It is proved in the article that the only curves with affine congruent arcs in the affine space are straight lines, parabolas, cubics.

Keywords: curve with affine congruent arcs, straight line, parabola, cubica, enica, moment curve, Veronese curve.

UDC: 514.754

MSC: 53A15

Received August 29, 2018, published November 15, 2019

DOI: 10.33048/semi.2019.16.112



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