11 citations · 18 across the 20 of their papers we have counts for
4 papers · 1 filter
Conics associated with triangles, or how Poncelet meets Morley
Kostiantyn Drach
We present a criterion when six points chosen on the sides of a triangle belong to the same conic. Using this tool we show how the two geometrical gems - celebrated Poncelet's theo…
Comparison theorem for support functions of hypersurfaces
Alexander Borisenko, Kostiantyn Drach
For a convex domain that is enclosed by the hypersurface of bounded normal curvature, we prove an angle comparison theorem for angles between and geod…
About an isoperimetric property of -convex lunes on the Lobachevsky plane
Kostiantyn Drach
We give a sharp lower bound on the area of a domain that can be enclosed by a closed embedded -convex curve of a given length on the Lobachevsky plane.
Some sharp estimates for convex hypersurfaces of pinched normal curvature
Kostiantyn Drach
For a convex domain bounded by the hypersurface in a space of constant curvature we give sharp bounds on the width of a spherical shell with radii and $r…