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math.AG2011★ 8 cited
A surface containing a line and a circle through each point is a quadric
Fedor Nilov, Mikhail Skopenkov
We prove that a surface in real 3-space containing a line and a circle through each point is a quadric. We also give some particular results on the classification of surfaces conta…
math.AG2008
Parabolic polygons
F. Nilov
Main Theorem. Two parabols have four common points. There exists a circle tangent to the sides of the obtained parabolic quadrilateral if and only if the diagonals of this quadrila…