I. V. Polikanova, “On the affine measurement of arcs of a moment curve”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>1312

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Geometry and topology

On the affine measurement of arcs of a moment curve

I. V. Polikanova

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

Abstract: The arc length, defined in affine space as an invariant of a unimodular transformation group, in the case of moment curve coincides with the result of the measurement process by successively putting off the unit of measure.

Keywords: moment curve, enica, parabola, affine center of arc on enica, affine-equal arcs, affine length of arc.

UDC: 514.754.24

MSC: 53A15

Received March 31, 2019, published September 27, 2019

DOI: 10.33048/semi.2019.16.091