the relation of wind direction with the horizontal pressure distribution named for the Dutch meteorologist C.H.D. Buys Ballot (Buys Ballot, Christophorus), who first stated it in 1857. He derived the law empirically, unaware that it already had been deduced theoretically by the U.S. meteorologist William Ferrel (Ferrel, William), whose priority Buys Ballot later acknowledged. The relationship states that in the Northern Hemisphere a person who stands facing away from the wind has high pressure on the right and low pressure on the left; in the Southern Hemisphere, the reverse would be true.

Theoretically, the relationship states that the angle between the wind and the pressure gradient is a right angle. This is almost exactly true in the free atmosphere, but not near the surface. Near the ground, the angle is usually less than 90° because of friction between the air and the surface and the turning of the wind toward areas of lower atmospheric pressure at the same altitude. Because of the weakness of the Coriolis effect (produced by the Earth's rotation) in equatorial regions, the law is not applicable there.