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
Flag of the United States this flag until 1777, when it would form the basis for the subsequent "de jure" designs. The name "Grand Union" was first applied to the Continental Colors by George Preble in his 1872 history of the U.S. flag. The flag closely resembles the British East India Company flag of the era, and Sir Charles Fawcett argued in 1937 that the company flag inspired the design. Both flags could have been easily constructed by adding white stripes to a British Red Ensign, one of the three maritime flags used throughout the British Empire at the time. However, an East India Company