If we resort for a criterion to the different principles on which different forms of government are established, we may define a republic to be, or at least may bestow that name on, a government which derives all its powers directly or indirectly from the great body of the people, and is administered by persons holding their offices during pleasure for a limited period, or during good behavior.
Alexander Hamilton, James Madison, John Jay (2003). “The Federalist: With Letters of Brutus”, p.182, Cambridge University Press