A canton in the extreme N. of Switzerland, surrounded NE. and W. by Baden; the Rhine flanks it on the S.; is hilly, with fertile valleys sloping to the Rhine, and is chiefly given up to agriculture. The capital, Schaffhausen, occupies a picturesque site on the Rhine, 31 m. NW. of Constance; has a 12th-century cathedral, an interesting old castle, &c. The famous falls, the finest on the Rhine, are 3 m. below the town.