The document discusses Archimedes' discovery of buoyancy and its principles. It explains that Archimedes discovered that objects float or sink based on the amount of water they displace. It also outlines Archimedes' principle of buoyancy - that the buoyant force on an object equals the weight of the fluid it displaces. Finally, it briefly describes how submarines and airships are able to control their buoyancy through changing the amount of water or air they displace.