Goal (sport) the combined total of points with the winner being decided on total points. For example, in Australian rules football the score may be expressed as follows: Brisbane 9.12 (66) def. Sydney 10.4 (64) In this example Sydney scored 10 goals (at six points each) and 4 behinds (one point each) for a total of 64 points. Brisbane scored 9 goals and 12 behinds for a total of 66 points. Despite having fewer goals, Brisbane won the game. Other sports may use multiple methods of scoring, with the points earned for each type of score varying. In these sports, the object
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