BRACHYSTOCHRONE n.
A curve, in which a body, starting from a given point, and descending solely by the force of gravity, will reach another given point in a shorter time than it could by any other path. This curve of quickest descent, as it is sometimes called, is, in a vacuum, the same as the cycloid.
BRANCH n.
A warrant or commission given to a pilot, authorizing him to pilot vessels in certain waters. Branches of a bridle, two pieces of bent iron, which bear the bit, the cross chains, and the curb. -- Branch herring. See Alewife. -- Root and branch , totally, wholly.