A surface containing a line and a circle through each point is a quadric

作者：Nilov Fedor; Skopenkov Mikhail^*

来源：Geometriae Dedicata, 2013, 163(1): 301-310.

DOI：10.1007/s10711-012-9750-0

• Ruled surface
• Circular surface
• Circle
• Cyclide
• Conic bundle

We prove that a surface in 3-dimensional Euclidean space containing a line and a circle through each point is a quadric. We also give some particular results on the classification of surfaces containing several circles through each point.

• 出版日期2013-4