Bühler is a municipality in the canton of Appenzell Ausserrhoden in Switzerland. Bühler is first mentioned in 1479 as Ullrich Büllershoff. B…Bühler is a municipality in the canton of Appenzell Ausserrhoden in Switzerland. Bühler is first mentioned in 1479 as Ullrich Büllershoff. Bühler has an area, as of 2006, of 5.6 km². Of this area, 62.7% is used for agricultural purposes, while 26% is forested. Of the rest of the land, 10.6% is settled and the remainder is non-productive.