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
The Dragon's Familiar The Dragon's Familiar The Dragon's Familiar is a fantasy novel by Lawrence Jeffrey Cohen. The novel tells the story of Cory Avalon, an orphan who is lured through an enchanted gateway disguised as a mirror, and ends up in the magical world of Abydonne. Cory meets Prince Taliesin of Caer Dathyl and is adopted by his father King Llewellyn, who makes Cory the apprentice of the royal wizard, Math the Ancient. Early in his apprenticeship, Cory casts a spell to summon and bond with a familiar, and a young golden dragon named Benythonne answers Cory's incantation. The resulting bond grants