Geodesic
On the affine measurement of arcs of a moment curve
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1312-1333

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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, affine center of arc on enica, affine length of arc.
Mots-clés : parabola, affine-equal arcs 
@article{SEMR_2019_16_a59,
     author = {I. V. Polikanova},
     title = {On the affine measurement of arcs of a moment curve},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1312--1333},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a59/}
}
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I. V. Polikanova. On the affine measurement of arcs of a moment curve. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1312-1333. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a59/