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Hamilton, city, seat (1803) of Butler county, southwestern Ohio, U.S., on the Great Miami River, about 25 miles (40 km) north of Cincinnati. In 1794 a town called Fairfield was laid out adjoining Fort Hamilton, which was used in 1791–96 by Gen. Arthur St. Clair and Gen. “Mad” Anthony Wayne against the Indians. Fairfield was later renamed for Alexander Hamilton, the U.S. statesman. Rossville, across the river, merged with Hamilton in 1854, by which time...