The larger rigs were used on windjammers and clipperships for running the trade winds. Since the sails are perpendicular to the mast they do poorly upwind. The ship is a vessel with three or more masts, with square sails on all masts. These were used on most clipper ships and many ships of war. The brig has two masts, square sails on both.
Brigs are smaller vessels, used for carrying cargo.
The brigantine is a smaller version of the barkentine decribed below. They are usually used for toting smaller loads. A bark was a common rig among the windjammers at the beginning of the 20th century. The barkentine has three or more masts. It is usually used for coastal shipping of lumber because of it's ability to go into the wind with the fore-aft sails, but still has the square sails to catch long wind currents.