British flag theorem British flag theorem In Euclidean geometry, the British flag theorem says that if a point "P" is chosen inside rectangle "ABCD" then the sum of the squared Euclidean distances from "P" to two opposite corners of the rectangle equals the sum to the other two opposite corners. As an equation: The theorem also applies to points outside the rectangle, and more generally to the distances from a point in Euclidean space to the corners of a rectangle embedded into the space. Even more generally, if the sums of squared distances from a point "P" to the two pairs of opposite
Capture the flag the flag is hidden in a place where it can only be seen from one angle. It also might have some challenge involved. For example, the flag could be hidden in the leaves up in a tall tree, and the players have to see the flag, then knock it out and bring it to their base. Different versions of Capture the Flag have different rules, both for handling the flag and for what happens to tagged players. A player who is tagged may be eliminated from the game entirely (out of the game), be forced to join the opposing team,