Аннотация:
We provide new characteristic properties of convex quadrics in $\mathbb R^n$ in terms of hyperplanarity of midsurfaces of convex solids for restricted families of chords. These properties are based on various auxiliary characterizations of convex quadrics that involve hyperplane supports and plane quadric sections.
Ключевые слова и фразы:convex, set, solid, surface, midsurface, quadric, plane, section.