The order 
of an algebraic surface is the order of the
polynomial defining a surface, which can be geometrically
interpreted as the maximum number of points in which a line meets the surface.
Surface Order
See also
Algebraic SurfaceExplore with Wolfram|Alpha
References
Fischer, G. (Ed.). Mathematische Modelle aus den Sammlungen von Universitäten und Museen, Kommentarband. Braunschweig, Germany: Vieweg, p. 8, 1986.Referenced on Wolfram|Alpha
Surface OrderCite this as:
Weisstein, Eric W. "Surface Order." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SurfaceOrder.html