>>14083507That they all share two determining points. All curves require at least two points to determine what they are. A line needs exactly two points. A parabola needs three points. A cubic polynomial requires four points to define it. A polynomial of degree n is determined exactly by n+1 points. You can create an infinite number of curves that intersect at (1,0) and (0,1) by this feature. It doesn't actually mean anything in geometry.
