The term, basque, has it's origins in France. A basque is a form of bodice and in modern times a long corset. Basques tend to have a very close, contoured fit and normally extend below the waistline and over the hips. The basque gets its name from the traditional dress of the Basque people.
In modern times the term, basque, is used to refer to types of designer lingerie, and in particular a style of corset called a torsolette or alternately a very close fitting camisole that looks like a corset but of more delicate construction and a lingerie garment that offers little or no compression of the figure.