S. V. Zharov, L. B. Medvedeva, “Second order surfaces as local of points in space”, Math. Ed., 2021, Issue 4(100)-2,Pages <nobr>49

Students and teachers of mathematical specialties

Second order surfaces as local of points in space

S. V. Zharov^a, L. B. Medvedeva^b

^a Yaroslavl State Pedagogical University named after K. D. Ushinsky
^b Yaroslavl Higher Military School of Anti-Aircraft Warfare

Abstract: The paper investigates the locus of points in space, determined by metric connections with a certain set of pairs of points, lines and planes. It is shown that any non-degenerate surface of the second order can be considered as some locus of points in space, and not the only one.

UDC: 514.123.2