It means arbitrary power in an individual person; in the exercise of which, himself, and not the res-publica, is the object.
Every government that does not act on the principle of a Republic, or in other words, that does not make the res-publica its whole and sole object, is not a good government.

Republican government is no other than government established and conducted for the interest of the public, as well individually as collectively.

It is not necessarily connected with any particular form, but it most naturally associates with the representative form, as being best calculated to secure the end for which a nation is at the expense of supporting it.
Various forms of government have affected to style themselves a republic.

Poland calls itself a republic, which is an hereditary aristocracy, with what is called an elective monarchy.

Holland calls itself a republic, which is chiefly aristocratical, with an hereditary stadtholdership.