Three-point field goal intersected the faceoff circles), but this proposal gained little support and faded after the WHA merged with the NHL. It was widely believed that long-distance shots in hockey had little direct relation to skill (usually resulting more from goalies' vision being screened or obscured), plus with the lower scoring intrinsic to the sport a two-point goal was seen as disruptive of the structure of the game. The Super Goal is a similar concept in Australian rules football, in which a arc determines the value of a goal; within the arc, it is the usual 6 points, but 9 points are
Five points determine a conic theorem. Similarly, while nine points determine a cubic, if the nine points lie on more than one cubic—i.e., they are the intersection of two cubics—then they are not in general position, and indeed satisfy an addition constraint, as stated in the Cayley–Bacharach theorem. Four points do not determine a conic, but rather a pencil, the 1-dimensional linear system of conics which all pass through the four points (formally, have the four points as base locus). Similarly, three points determine a 2-dimensional linear system (net), two points determine a 3-dimensional linear system (web), one point determines a 4-dimensional linear system, and