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 Five points determine a conic In Euclidean and projective geometry, just as two (distinct) points determine a line (a degree-1 plane curve), five points determine a conic (a degree-2 plane curve). There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines. Formally, given any five points in the plane in general linear position, meaning no three collinear, there is a unique conic passing through them, which will be non-degenerate; this is true over both the Euclidean plane and any pappian projective plane.