British flag theorem that and by a similar argument the squared lengths of the distances from "P" to the other three corners can be calculated as Therefore: This theorem takes its name from the fact that, when the line segments from "P" to the corners of the rectangle are drawn, together with the perpendicular lines used in the proof, the completed figure somewhat resembles a Union Flag. 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
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,